%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT340+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 : n003.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 08:30:23 AM UTC 2026 % Result : Theorem 56.45s 56.61s % Output : Proof 56.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT340+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 % 0.16/0.34 % Computer : n003.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 06:37:29 EDT 2026 % 0.16/0.35 % CPUTime : % 0.31/0.52 %----Proving TF0_NAR, FOF, or CNF % 56.45/56.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 56.45/56.61 --- Run --no-e-matching --full-saturate-quant at 6... % 56.45/56.61 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 56.45/56.61 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 56.45/56.61 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 56.45/56.61 % SZS status Theorem % 56.45/56.61 % SZS output start Proof % 56.45/56.61 ( % 56.45/56.61 (declare-sort $$unsorted 0) % 56.45/56.61 (declare-const tptp.r2_conlat_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 56.45/56.61 (declare-const tptp.r3_lattices (-> $$unsorted $$unsorted $$unsorted Bool)) % 56.45/56.61 (declare-const tptp.v2_binop_1 (-> $$unsorted $$unsorted Bool)) % 56.45/56.61 (declare-const tptp.v1_binop_1 (-> $$unsorted $$unsorted Bool)) % 56.45/56.61 (declare-const tptp.k1_xboole_0 $$unsorted) % 56.45/56.61 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 56.45/56.61 (declare-const tptp.v6_lattices (-> $$unsorted Bool)) % 56.45/56.61 (declare-const tptp.u1_lattices (-> $$unsorted $$unsorted)) % 56.45/56.61 (declare-const tptp.v9_lattices (-> $$unsorted Bool)) % 56.45/56.61 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 56.45/56.61 (declare-const tptp.l1_conlat_1 (-> $$unsorted Bool)) % 56.45/56.61 (declare-const tptp.l3_conlat_1 (-> $$unsorted $$unsorted Bool)) % 56.45/56.61 (declare-const tptp.k6_conlat_1 (-> $$unsorted $$unsorted)) % 56.45/56.61 (declare-const tptp.r3_lattice3 (-> $$unsorted $$unsorted $$unsorted Bool)) % 56.45/56.61 (declare-const tptp.v6_conlat_1 (-> $$unsorted $$unsorted Bool)) % 56.45/56.61 (declare-const tptp.r1_lattices (-> $$unsorted $$unsorted $$unsorted Bool)) % 56.45/56.61 (declare-const tptp.g3_conlat_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 56.45/56.61 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 56.45/56.61 (declare-const tptp.u4_conlat_1 (-> $$unsorted $$unsorted $$unsorted)) % 56.45/56.61 (declare-const tptp.u5_conlat_1 (-> $$unsorted $$unsorted $$unsorted)) % 56.45/56.61 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 56.45/56.61 (declare-const tptp.l3_lattices (-> $$unsorted Bool)) % 56.45/56.61 (declare-const tptp.v10_lattices (-> $$unsorted Bool)) % 56.45/56.61 (declare-const tptp.v14_lattices (-> $$unsorted Bool)) % 56.45/56.61 (declare-const tptp.k6_lattices (-> $$unsorted $$unsorted)) % 56.45/56.61 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 56.45/56.61 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 56.45/56.61 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 56.45/56.61 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 56.45/56.61 (declare-const tptp.k2_subset_1 (-> $$unsorted $$unsorted)) % 56.45/56.61 (declare-const tptp.k11_conlat_1 (-> $$unsorted $$unsorted)) % 56.45/56.61 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 56.45/56.61 (declare-const tptp.v15_lattices (-> $$unsorted Bool)) % 56.45/56.61 (declare-const tptp.k5_conlat_1 (-> $$unsorted $$unsorted)) % 56.45/56.61 (declare-const tptp.k3_conlat_2 (-> $$unsorted $$unsorted $$unsorted)) % 56.45/56.61 (declare-const tptp.v8_lattices (-> $$unsorted Bool)) % 56.45/56.61 (declare-const tptp.g3_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 56.45/56.61 (declare-const tptp.u2_lattices (-> $$unsorted $$unsorted)) % 56.45/56.61 (declare-const tptp.v5_lattices (-> $$unsorted Bool)) % 56.45/56.61 (declare-const tptp.v7_lattices (-> $$unsorted Bool)) % 56.45/56.61 (declare-const tptp.v3_lattices (-> $$unsorted Bool)) % 56.45/56.61 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 56.45/56.61 (declare-const tptp.v4_lattices (-> $$unsorted Bool)) % 56.45/56.61 (declare-const tptp.k2_conlat_2 (-> $$unsorted $$unsorted $$unsorted)) % 56.45/56.61 (declare-const tptp.k12_conlat_1 (-> $$unsorted $$unsorted $$unsorted)) % 56.45/56.61 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 56.45/56.61 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 56.45/56.61 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 56.45/56.61 (declare-const tptp.v8_conlat_1 (-> $$unsorted $$unsorted Bool)) % 56.45/56.61 (declare-const tptp.v13_lattices (-> $$unsorted Bool)) % 56.45/56.61 (declare-const tptp.v10_conlat_1 (-> $$unsorted $$unsorted Bool)) % 56.45/56.61 (declare-const tptp.v4_lattice3 (-> $$unsorted Bool)) % 56.45/56.61 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 56.45/56.61 (declare-const tptp.k1_conlat_2 (-> $$unsorted $$unsorted $$unsorted)) % 56.45/56.61 (declare-const tptp.v9_conlat_1 (-> $$unsorted $$unsorted Bool)) % 56.45/56.61 (declare-const tptp.v7_conlat_1 (-> $$unsorted $$unsorted Bool)) % 56.45/56.61 (declare-const tptp.v3_conlat_1 (-> $$unsorted Bool)) % 56.45/56.61 (declare-const tptp.a_2_1_lattice3 (-> $$unsorted $$unsorted $$unsorted)) % 56.45/56.61 (declare-const tptp.l2_conlat_1 (-> $$unsorted Bool)) % 56.45/56.61 (declare-const tptp.v11_conlat_1 (-> $$unsorted $$unsorted Bool)) % 56.45/56.61 (declare-const tptp.k15_lattice3 (-> $$unsorted $$unsorted $$unsorted)) % 56.45/56.61 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 56.45/56.61 (declare-const tptp.k16_lattice3 (-> $$unsorted $$unsorted $$unsorted)) % 56.45/56.61 (declare-const tptp.l1_lattices (-> $$unsorted Bool)) % 56.45/56.61 (declare-const tptp.u2_conlat_1 (-> $$unsorted $$unsorted)) % 56.45/56.61 (declare-const tptp.u1_conlat_1 (-> $$unsorted $$unsorted)) % 56.45/56.61 (declare-const tptp.k5_lattices (-> $$unsorted $$unsorted)) % 56.45/56.61 (declare-const tptp.l2_lattices (-> $$unsorted Bool)) % 56.45/56.61 (define @t1 () (@var "A" $$unsorted)) % 56.45/56.61 (define @t2 () (tptp.k6_conlat_1 @t1)) % 56.45/56.61 (define @t3 () (tptp.k11_conlat_1 @t1)) % 56.45/56.61 (define @t4 () (tptp.u1_struct_0 @t3)) % 56.45/56.61 (define @t5 () (tptp.k2_subset_1 @t4)) % 56.45/56.61 (define @t6 () (tptp.k5_conlat_1 @t1)) % 56.45/56.61 (define @t7 () (and (= (tptp.k3_conlat_2 @t1 @t5) @t6) (= (tptp.k2_conlat_2 @t1 @t5) @t2))) % 56.45/56.61 (define @t8 () (tptp.l2_conlat_1 @t1)) % 56.45/56.61 (define @t9 () (tptp.v3_conlat_1 @t1)) % 56.45/56.61 (define @t10 () (not @t9)) % 56.45/56.61 (define @t11 () (and @t10 @t8)) % 56.45/56.61 (define @t12 () (@list @t1)) % 56.45/56.61 (define @t13 () (forall @t12 (=> @t11 @t7))) % 56.45/56.61 (define @t14 () (not @t13)) % 56.45/56.61 (define @t15 () (tptp.u1_lattices @t1)) % 56.45/56.61 (define @t16 () (tptp.u2_lattices @t1)) % 56.45/56.61 (define @t17 () (tptp.u1_struct_0 @t1)) % 56.45/56.61 (define @t18 () (tptp.v3_lattices @t1)) % 56.45/56.61 (define @t19 () (tptp.l3_lattices @t1)) % 56.45/56.61 (define @t20 () (@var "B" $$unsorted)) % 56.45/56.61 (define @t21 () (tptp.u5_conlat_1 @t1 @t20)) % 56.45/56.61 (define @t22 () (tptp.u4_conlat_1 @t1 @t20)) % 56.45/56.61 (define @t23 () (tptp.v6_conlat_1 @t20 @t1)) % 56.45/56.61 (define @t24 () (tptp.l3_conlat_1 @t20 @t1)) % 56.45/56.61 (define @t25 () (tptp.l1_conlat_1 @t1)) % 56.45/56.61 (define @t26 () (and @t25 @t24)) % 56.45/56.61 (define @t27 () (@list @t1 @t20)) % 56.45/56.61 (define @t28 () (tptp.r2_hidden @t1 @t20)) % 56.45/56.61 (define @t29 () (@var "C" $$unsorted)) % 56.45/56.61 (define @t30 () (tptp.v1_funct_2 @t29 @t1 @t20)) % 56.45/56.61 (define @t31 () (tptp.v1_funct_1 @t29)) % 56.45/56.61 (define @t32 () (and @t31 @t30)) % 56.45/56.61 (define @t33 () (tptp.v1_partfun1 @t29 @t1 @t20)) % 56.45/56.61 (define @t34 () (tptp.m1_relset_1 @t29 @t1 @t20)) % 56.45/56.61 (define @t35 () (@list @t1 @t20 @t29)) % 56.45/56.61 (define @t36 () (tptp.v9_lattices @t1)) % 56.45/56.61 (define @t37 () (tptp.v8_lattices @t1)) % 56.45/56.61 (define @t38 () (tptp.v7_lattices @t1)) % 56.45/56.61 (define @t39 () (tptp.v6_lattices @t1)) % 56.45/56.61 (define @t40 () (tptp.v5_lattices @t1)) % 56.45/56.61 (define @t41 () (tptp.v4_lattices @t1)) % 56.45/56.61 (define @t42 () (tptp.v3_struct_0 @t1)) % 56.45/56.61 (define @t43 () (not @t42)) % 56.45/56.61 (define @t44 () (and @t43 @t41 @t40 @t39 @t38 @t37 @t36)) % 56.45/56.61 (define @t45 () (tptp.v10_lattices @t1)) % 56.45/56.61 (define @t46 () (and @t43 @t45)) % 56.45/56.61 (define @t47 () (tptp.v1_relat_1 @t29)) % 56.45/56.61 (define @t48 () (tptp.k2_zfmisc_1 @t1 @t20)) % 56.45/56.61 (define @t49 () (tptp.m1_subset_1 @t29 (tptp.k1_zfmisc_1 @t48))) % 56.45/56.61 (define @t50 () (tptp.v8_conlat_1 @t20 @t1)) % 56.45/56.61 (define @t51 () (@list @t20)) % 56.45/56.61 (define @t52 () (tptp.v15_lattices @t1)) % 56.45/56.61 (define @t53 () (and @t43 @t52)) % 56.45/56.61 (define @t54 () (tptp.v14_lattices @t1)) % 56.45/56.61 (define @t55 () (tptp.v13_lattices @t1)) % 56.45/56.61 (define @t56 () (and @t43 @t55 @t54)) % 56.45/56.61 (define @t57 () (@list @t29)) % 56.45/56.61 (define @t58 () (tptp.v1_xboole_0 @t20)) % 56.45/56.61 (define @t59 () (not @t58)) % 56.45/56.61 (define @t60 () (tptp.v1_xboole_0 @t29)) % 56.45/56.61 (define @t61 () (tptp.v1_xboole_0 @t1)) % 56.45/56.61 (define @t62 () (not @t61)) % 56.45/56.61 (define @t63 () (and @t62 @t59)) % 56.45/56.61 (define @t64 () (@var "D" $$unsorted)) % 56.45/56.61 (define @t65 () (tptp.r1_lattices @t1 @t20 @t64)) % 56.45/56.61 (define @t66 () (tptp.r2_hidden @t64 @t29)) % 56.45/56.61 (define @t67 () (=> @t66 @t65)) % 56.45/56.61 (define @t68 () (tptp.m1_subset_1 @t64 @t17)) % 56.45/56.61 (define @t69 () (@list @t64)) % 56.45/56.61 (define @t70 () (forall @t69 (=> @t68 @t67))) % 56.45/56.61 (define @t71 () (tptp.r3_lattice3 @t1 @t20 @t29)) % 56.45/56.61 (define @t72 () (= @t71 @t70)) % 56.45/56.61 (define @t73 () (forall @t57 @t72)) % 56.45/56.61 (define @t74 () (tptp.m1_subset_1 @t20 @t17)) % 56.45/56.61 (define @t75 () (=> @t74 @t73)) % 56.45/56.61 (define @t76 () (forall @t51 @t75)) % 56.45/56.61 (define @t77 () (and @t43 @t19)) % 56.45/56.61 (define @t78 () (=> @t77 @t76)) % 56.45/56.61 (define @t79 () (forall @t12 @t78)) % 56.45/56.61 (define @t80 () (tptp.k1_conlat_2 @t1 @t20)) % 56.45/56.61 (define @t81 () (tptp.v9_conlat_1 @t20 @t1)) % 56.45/56.61 (define @t82 () (tptp.v7_conlat_1 @t20 @t1)) % 56.45/56.61 (define @t83 () (not @t82)) % 56.45/56.61 (define @t84 () (tptp.k16_lattice3 @t1 @t20)) % 56.45/56.61 (define @t85 () (tptp.k12_conlat_1 @t1 @t20)) % 56.45/56.61 (define @t86 () (tptp.m1_subset_1 @t20 @t4)) % 56.45/56.61 (define @t87 () (=> @t86 (= @t85 @t20))) % 56.45/56.61 (define @t88 () (forall @t51 @t87)) % 56.45/56.61 (define @t89 () (=> @t11 @t88)) % 56.45/56.61 (define @t90 () (forall @t12 @t89)) % 56.45/56.61 (define @t91 () (tptp.k2_conlat_2 @t1 @t20)) % 56.45/56.61 (define @t92 () (= @t91 (tptp.k16_lattice3 @t3 @t20))) % 56.45/56.61 (define @t93 () (tptp.k1_zfmisc_1 @t4)) % 56.45/56.61 (define @t94 () (tptp.m1_subset_1 @t20 @t93)) % 56.45/56.61 (define @t95 () (forall @t51 (=> @t94 @t92))) % 56.45/56.61 (define @t96 () (=> @t11 @t95)) % 56.45/56.61 (define @t97 () (forall @t12 @t96)) % 56.45/56.61 (define @t98 () (tptp.k3_conlat_2 @t1 @t20)) % 56.45/56.61 (define @t99 () (= @t98 (tptp.k15_lattice3 @t3 @t20))) % 56.45/56.61 (define @t100 () (forall @t51 (=> @t94 @t99))) % 56.45/56.61 (define @t101 () (=> @t11 @t100)) % 56.45/56.61 (define @t102 () (forall @t12 @t101)) % 56.45/56.61 (define @t103 () (tptp.k2_subset_1 @t1)) % 56.45/56.61 (define @t104 () (forall @t12 (= @t103 @t1))) % 56.45/56.61 (define @t105 () (tptp.g3_conlat_1 @t1 @t20 @t29)) % 56.45/56.61 (define @t106 () (tptp.u2_conlat_1 @t1)) % 56.45/56.61 (define @t107 () (tptp.k1_zfmisc_1 @t106)) % 56.45/56.61 (define @t108 () (tptp.u1_conlat_1 @t1)) % 56.45/56.61 (define @t109 () (tptp.k1_zfmisc_1 @t108)) % 56.45/56.61 (define @t110 () (tptp.m1_subset_1 @t20 @t109)) % 56.45/56.61 (define @t111 () (and @t25 @t110 (tptp.m1_subset_1 @t29 @t107))) % 56.45/56.61 (define @t112 () (tptp.g3_lattices @t1 @t20 @t29)) % 56.45/56.61 (define @t113 () (tptp.v3_lattices @t112)) % 56.45/56.61 (define @t114 () (tptp.k2_zfmisc_1 @t1 @t1)) % 56.45/56.61 (define @t115 () (tptp.m1_relset_1 @t29 @t114 @t1)) % 56.45/56.61 (define @t116 () (tptp.v1_funct_2 @t29 @t114 @t1)) % 56.45/56.61 (define @t117 () (tptp.m1_relset_1 @t20 @t114 @t1)) % 56.45/56.61 (define @t118 () (tptp.v1_funct_2 @t20 @t114 @t1)) % 56.45/56.61 (define @t119 () (tptp.v1_funct_1 @t20)) % 56.45/56.61 (define @t120 () (and @t119 @t118 @t117 @t31 @t116 @t115)) % 56.45/56.61 (define @t121 () (tptp.v3_lattices @t3)) % 56.45/56.61 (define @t122 () (not (tptp.v3_struct_0 @t3))) % 56.45/56.61 (define @t123 () (and @t122 @t121 (tptp.l3_lattices @t3))) % 56.45/56.61 (define @t124 () (forall @t12 (=> @t11 @t123))) % 56.45/56.61 (define @t125 () (and (tptp.v6_conlat_1 @t85 @t1) (not (tptp.v7_conlat_1 @t85 @t1)) (tptp.v9_conlat_1 @t85 @t1) (tptp.l3_conlat_1 @t85 @t1))) % 56.45/56.61 (define @t126 () (and @t10 @t8 @t86)) % 56.45/56.61 (define @t127 () (forall @t27 (=> @t126 @t125))) % 56.45/56.61 (define @t128 () (and @t10 @t8 @t94)) % 56.45/56.61 (define @t129 () (tptp.k1_zfmisc_1 @t1)) % 56.45/56.61 (define @t130 () (tptp.m1_subset_1 (tptp.k5_lattices @t1) @t17)) % 56.45/56.61 (define @t131 () (tptp.l1_lattices @t1)) % 56.45/56.61 (define @t132 () (and @t43 @t131)) % 56.45/56.61 (define @t133 () (forall @t12 (=> @t132 @t130))) % 56.45/56.61 (define @t134 () (tptp.k6_lattices @t1)) % 56.45/56.61 (define @t135 () (tptp.l2_lattices @t1)) % 56.45/56.61 (define @t136 () (tptp.l1_struct_0 @t1)) % 56.45/56.61 (define @t137 () (forall @t12 (=> @t131 @t136))) % 56.45/56.61 (define @t138 () (and @t131 @t135)) % 56.45/56.61 (define @t139 () (forall @t12 (=> @t19 @t138))) % 56.45/56.61 (define @t140 () (tptp.m2_relset_1 @t29 @t1 @t20)) % 56.45/56.61 (define @t141 () (tptp.k2_zfmisc_1 @t17 @t17)) % 56.45/56.61 (define @t142 () (tptp.v1_funct_2 @t15 @t141 @t17)) % 56.45/56.61 (define @t143 () (tptp.v1_funct_1 @t15)) % 56.45/56.61 (define @t144 () (tptp.v1_funct_2 @t16 @t141 @t17)) % 56.45/56.61 (define @t145 () (tptp.v1_funct_1 @t16)) % 56.45/56.61 (define @t146 () (and @t10 @t25)) % 56.45/56.61 (define @t147 () (tptp.v4_lattice3 @t3)) % 56.45/56.61 (define @t148 () (tptp.v10_lattices @t3)) % 56.45/56.61 (define @t149 () (tptp.v9_lattices @t3)) % 56.45/56.61 (define @t150 () (tptp.v8_lattices @t3)) % 56.45/56.61 (define @t151 () (tptp.v7_lattices @t3)) % 56.45/56.61 (define @t152 () (tptp.v6_lattices @t3)) % 56.45/56.61 (define @t153 () (tptp.v5_lattices @t3)) % 56.45/56.61 (define @t154 () (tptp.v4_lattices @t3)) % 56.45/56.61 (define @t155 () (and @t122 @t121 @t154 @t153 @t152 @t151 @t150 @t149 @t148 (tptp.v13_lattices @t3) (tptp.v14_lattices @t3) (tptp.v15_lattices @t3) @t147)) % 56.45/56.61 (define @t156 () (forall @t12 (=> @t11 @t155))) % 56.45/56.61 (define @t157 () (not (tptp.v1_xboole_0 @t17))) % 56.45/56.61 (define @t158 () (and @t43 @t136)) % 56.45/56.61 (define @t159 () (forall @t12 (=> @t158 @t157))) % 56.45/56.61 (define @t160 () (tptp.v1_partfun1 @t16 @t141 @t17)) % 56.45/56.61 (define @t161 () (tptp.v1_relat_1 @t16)) % 56.45/56.61 (define @t162 () (tptp.v1_partfun1 @t15 @t141 @t17)) % 56.45/56.61 (define @t163 () (tptp.v1_relat_1 @t15)) % 56.45/56.61 (define @t164 () (= @t1 @t64)) % 56.45/56.61 (define @t165 () (@var "F" $$unsorted)) % 56.45/56.61 (define @t166 () (@var "E" $$unsorted)) % 56.45/56.61 (define @t167 () (and @t164 (= @t20 @t166) (= @t29 @t165))) % 56.45/56.61 (define @t168 () (@list @t64 @t166 @t165)) % 56.45/56.61 (define @t169 () (tptp.m1_subset_1 @t20 @t129)) % 56.45/56.61 (define @t170 () (= (tptp.r3_lattices @t1 @t20 @t29) (tptp.r1_lattices @t1 @t20 @t29))) % 56.45/56.61 (define @t171 () (tptp.m1_subset_1 @t29 @t17)) % 56.45/56.61 (define @t172 () (and @t43 @t39 @t37 @t36 @t19 @t74 @t171)) % 56.45/56.61 (define @t173 () (forall @t35 (=> @t172 @t170))) % 56.45/56.61 (define @t174 () (tptp.k6_lattices @t3)) % 56.45/56.61 (define @t175 () (tptp.k5_lattices @t3)) % 56.45/56.61 (define @t176 () (and (= @t175 @t2) (= @t174 @t6))) % 56.45/56.61 (define @t177 () (=> @t11 @t176)) % 56.45/56.61 (define @t178 () (forall @t12 @t177)) % 56.45/56.61 (define @t179 () (tptp.m1_subset_1 @t1 @t20)) % 56.45/56.61 (define @t180 () (or @t58 @t28)) % 56.45/56.61 (define @t181 () (forall @t27 (=> @t179 @t180))) % 56.45/56.61 (define @t182 () (= @t1 @t20)) % 56.45/56.61 (define @t183 () (and (tptp.r2_conlat_1 @t1 @t20 @t6) (tptp.r2_conlat_1 @t1 @t2 @t20))) % 56.45/56.61 (define @t184 () (and @t83 @t81 @t24)) % 56.45/56.61 (define @t185 () (forall @t51 (=> @t184 @t183))) % 56.45/56.61 (define @t186 () (=> @t11 @t185)) % 56.45/56.61 (define @t187 () (forall @t12 @t186)) % 56.45/56.61 (define @t188 () (tptp.r3_lattices @t1 @t64 @t20)) % 56.45/56.61 (define @t189 () (tptp.r3_lattice3 @t1 @t64 @t29)) % 56.45/56.61 (define @t190 () (=> @t189 @t188)) % 56.45/56.61 (define @t191 () (forall @t69 (=> @t68 @t190))) % 56.45/56.61 (define @t192 () (and @t71 @t191)) % 56.45/56.61 (define @t193 () (= @t20 (tptp.k16_lattice3 @t1 @t29))) % 56.45/56.61 (define @t194 () (= @t193 @t192)) % 56.45/56.61 (define @t195 () (forall @t57 @t194)) % 56.45/56.61 (define @t196 () (=> @t74 @t195)) % 56.45/56.61 (define @t197 () (forall @t51 @t196)) % 56.45/56.61 (define @t198 () (tptp.v4_lattice3 @t1)) % 56.45/56.61 (define @t199 () (and @t43 @t45 @t198 @t19)) % 56.45/56.61 (define @t200 () (=> @t199 @t197)) % 56.45/56.61 (define @t201 () (forall @t12 @t200)) % 56.45/56.61 (define @t202 () (= (tptp.r3_lattices @t3 @t20 @t29) (tptp.r2_conlat_1 @t1 @t85 (tptp.k12_conlat_1 @t1 @t29)))) % 56.45/56.61 (define @t203 () (tptp.m1_subset_1 @t29 @t4)) % 56.45/56.61 (define @t204 () (forall @t57 (=> @t203 @t202))) % 56.45/56.61 (define @t205 () (=> @t86 @t204)) % 56.45/56.61 (define @t206 () (forall @t51 @t205)) % 56.45/56.61 (define @t207 () (=> @t11 @t206)) % 56.45/56.61 (define @t208 () (forall @t12 @t207)) % 56.45/56.61 (define @t209 () (tptp.m1_subset_1 @t20 (tptp.k1_zfmisc_1 @t29))) % 56.45/56.61 (define @t210 () (and @t43 @t45 @t54 @t19 (= @t134 (tptp.k15_lattice3 @t1 @t17)))) % 56.45/56.61 (define @t211 () (forall @t12 (=> @t199 @t210))) % 56.45/56.61 (define @t212 () (and (= @t2 @t175) (= @t6 @t174))) % 56.45/56.61 (define @t213 () (not @t8)) % 56.45/56.61 (define @t214 () (or @t9 @t213)) % 56.45/56.61 (define @t215 () (not @t10)) % 56.45/56.61 (define @t216 () (not @t11)) % 56.45/56.61 (define @t217 () (or @t9 @t213 @t7)) % 56.45/56.61 (define @t218 () (@quantifiers_skolemize (forall @t12 @t217) 0)) % 56.45/56.61 (define @t219 () (@list @t218)) % 56.45/56.61 (define @t220 () (tptp.l2_conlat_1 @t218)) % 56.45/56.61 (define @t221 () (tptp.k6_conlat_1 @t218)) % 56.45/56.61 (define @t222 () (tptp.k11_conlat_1 @t218)) % 56.45/56.61 (define @t223 () (tptp.u1_struct_0 @t222)) % 56.45/56.61 (define @t224 () (tptp.k2_subset_1 @t223)) % 56.45/56.61 (define @t225 () (tptp.k2_conlat_2 @t218 @t224)) % 56.45/56.61 (define @t226 () (= @t225 @t221)) % 56.45/56.61 (define @t227 () (tptp.k5_conlat_1 @t218)) % 56.45/56.61 (define @t228 () (tptp.k3_conlat_2 @t218 @t224)) % 56.45/56.61 (define @t229 () (= @t228 @t227)) % 56.45/56.61 (define @t230 () (and @t229 @t226)) % 56.45/56.61 (define @t231 () (not @t220)) % 56.45/56.61 (define @t232 () (tptp.v3_conlat_1 @t218)) % 56.45/56.61 (define @t233 () (or @t232 @t231 @t230)) % 56.45/56.61 (define @t234 () (@list true)) % 56.45/56.61 (define @t235 () (@list @t233)) % 56.45/56.61 (define @t236 () (tptp.k6_lattices @t222)) % 56.45/56.61 (define @t237 () (= @t227 @t236)) % 56.45/56.61 (define @t238 () (tptp.k5_lattices @t222)) % 56.45/56.61 (define @t239 () (= @t221 @t238)) % 56.45/56.61 (define @t240 () (and @t239 @t237)) % 56.45/56.61 (define @t241 () (or @t232 @t231 @t240)) % 56.45/56.61 (define @t242 () (@list true false false)) % 56.45/56.61 (define @t243 () (not @t240)) % 56.45/56.61 (define @t244 () (@list false)) % 56.45/56.61 (define @t245 () (@list @t240)) % 56.45/56.61 (define @t246 () (@var "BOUND_VARIABLE_8332" $$unsorted)) % 56.45/56.61 (define @t247 () (= @t246 (tptp.k12_conlat_1 @t1 @t246))) % 56.45/56.61 (define @t248 () (not (tptp.m1_subset_1 @t246 @t4))) % 56.45/56.61 (define @t249 () (or @t248 @t247)) % 56.45/56.61 (define @t250 () (or @t9 @t213 @t249)) % 56.45/56.61 (define @t251 () (forall (@list @t1 @t246) @t250)) % 56.45/56.61 (define @t252 () (@list @t246)) % 56.45/56.61 (define @t253 () (forall @t252 @t250)) % 56.45/56.61 (define @t254 () (forall @t252 @t249)) % 56.45/56.61 (define @t255 () (@list @t20)) % 56.45/56.61 (define @t256 () (or @t9 @t213 @t254)) % 56.45/56.61 (define @t257 () (= @t20 @t85)) % 56.45/56.61 (define @t258 () (not @t86)) % 56.45/56.61 (define @t259 () (forall @t51 (or @t258 @t257))) % 56.45/56.61 (define @t260 () (or @t9 @t213 @t259)) % 56.45/56.61 (define @t261 () (not @t131)) % 56.45/56.61 (define @t262 () (not @t43)) % 56.45/56.61 (define @t263 () (@list @t222)) % 56.45/56.61 (define @t264 () (tptp.l3_lattices @t222)) % 56.45/56.61 (define @t265 () (tptp.v3_lattices @t222)) % 56.45/56.61 (define @t266 () (tptp.v3_struct_0 @t222)) % 56.45/56.61 (define @t267 () (not @t266)) % 56.45/56.61 (define @t268 () (and @t267 @t265 @t264)) % 56.45/56.61 (define @t269 () (or @t232 @t231 @t268)) % 56.45/56.61 (define @t270 () (not @t268)) % 56.45/56.61 (define @t271 () (@list @t268)) % 56.45/56.61 (define @t272 () (tptp.l1_lattices @t222)) % 56.45/56.61 (define @t273 () (and @t272 (tptp.l2_lattices @t222))) % 56.45/56.61 (define @t274 () (not @t264)) % 56.45/56.61 (define @t275 () (or @t274 @t273)) % 56.45/56.61 (define @t276 () (@list false false)) % 56.45/56.61 (define @t277 () (tptp.m1_subset_1 @t238 @t223)) % 56.45/56.61 (define @t278 () (not @t272)) % 56.45/56.61 (define @t279 () (or @t266 @t278 @t277)) % 56.45/56.61 (define @t280 () (tptp.k12_conlat_1 @t218 @t238)) % 56.45/56.61 (define @t281 () (= @t238 @t280)) % 56.45/56.61 (define @t282 () (not @t277)) % 56.45/56.61 (define @t283 () (or @t232 @t231 @t282 @t281)) % 56.45/56.61 (define @t284 () (@list true false false false)) % 56.45/56.61 (define @t285 () (@var "BOUND_VARIABLE_8888" $$unsorted)) % 56.45/56.61 (define @t286 () (and (tptp.r2_conlat_1 @t1 @t285 @t6) (tptp.r2_conlat_1 @t1 @t2 @t285))) % 56.45/56.61 (define @t287 () (not (tptp.l3_conlat_1 @t285 @t1))) % 56.45/56.61 (define @t288 () (not (tptp.v9_conlat_1 @t285 @t1))) % 56.45/56.61 (define @t289 () (tptp.v7_conlat_1 @t285 @t1)) % 56.45/56.61 (define @t290 () (or @t289 @t288 @t287 @t286)) % 56.45/56.61 (define @t291 () (or @t9 @t213 @t290)) % 56.45/56.61 (define @t292 () (forall (@list @t1 @t285) @t291)) % 56.45/56.61 (define @t293 () (@list @t285)) % 56.45/56.61 (define @t294 () (forall @t293 @t291)) % 56.45/56.61 (define @t295 () (forall @t293 @t290)) % 56.45/56.61 (define @t296 () (or @t9 @t213 @t295)) % 56.45/56.61 (define @t297 () (not @t24)) % 56.45/56.61 (define @t298 () (not @t81)) % 56.45/56.61 (define @t299 () (or @t82 @t298 @t297 @t183)) % 56.45/56.61 (define @t300 () (forall @t51 @t299)) % 56.45/56.61 (define @t301 () (or @t9 @t213 @t300)) % 56.45/56.61 (define @t302 () (not @t83)) % 56.45/56.61 (define @t303 () (or @t302 @t298 @t297)) % 56.45/56.61 (define @t304 () (not (tptp.r2_hidden @t64 @t224))) % 56.45/56.61 (define @t305 () (not (tptp.m1_subset_1 @t64 @t223))) % 56.45/56.61 (define @t306 () (forall @t69 (or @t305 @t304 (tptp.r1_lattices @t222 @t238 @t64)))) % 56.45/56.61 (define @t307 () (@quantifiers_skolemize @t306 0)) % 56.45/56.61 (define @t308 () (tptp.k12_conlat_1 @t218 @t307)) % 56.45/56.61 (define @t309 () (or @t215 @t213 @t258)) % 56.45/56.61 (define @t310 () (@var "BOUND_VARIABLE_8260" $$unsorted)) % 56.45/56.61 (define @t311 () (@var "BOUND_VARIABLE_8262" $$unsorted)) % 56.45/56.61 (define @t312 () (not @t68)) % 56.45/56.61 (define @t313 () (= (tptp.r3_lattice3 @t1 @t310 @t311) (forall @t69 (or @t312 (not (tptp.r2_hidden @t64 @t311)) (tptp.r1_lattices @t1 @t310 @t64))))) % 56.45/56.61 (define @t314 () (not (tptp.m1_subset_1 @t310 @t17))) % 56.45/56.61 (define @t315 () (not @t19)) % 56.45/56.61 (define @t316 () (or @t314 @t313)) % 56.45/56.61 (define @t317 () (or @t42 @t315 @t316)) % 56.45/56.61 (define @t318 () (forall (@list @t1 @t310 @t311) @t317)) % 56.45/56.61 (define @t319 () (@list @t310 @t311)) % 56.45/56.61 (define @t320 () (forall @t319 @t317)) % 56.45/56.61 (define @t321 () (forall @t319 @t316)) % 56.45/56.61 (define @t322 () (@var "BOUND_VARIABLE_8243" $$unsorted)) % 56.45/56.61 (define @t323 () (or @t42 @t315 @t321)) % 56.45/56.61 (define @t324 () (= (tptp.r3_lattice3 @t1 @t20 @t322) (forall @t69 (or @t312 (not (tptp.r2_hidden @t64 @t322)) @t65)))) % 56.45/56.61 (define @t325 () (not @t74)) % 56.45/56.61 (define @t326 () (or @t325 @t324)) % 56.45/56.61 (define @t327 () (forall (@list @t20 @t322) @t326)) % 56.45/56.61 (define @t328 () (or @t42 @t315 @t327)) % 56.45/56.61 (define @t329 () (@list @t322)) % 56.45/56.61 (define @t330 () (forall @t329 @t326)) % 56.45/56.61 (define @t331 () (forall @t329 @t324)) % 56.45/56.61 (define @t332 () (@list @t29)) % 56.45/56.61 (define @t333 () (or @t325 @t331)) % 56.45/56.61 (define @t334 () (not @t66)) % 56.45/56.61 (define @t335 () (or @t312 @t334 @t65)) % 56.45/56.61 (define @t336 () (forall @t57 (= @t71 (forall @t69 @t335)))) % 56.45/56.61 (define @t337 () (@list @t222 @t238 @t224)) % 56.45/56.61 (define @t338 () (tptp.r3_lattice3 @t222 @t238 @t224)) % 56.45/56.61 (define @t339 () (= @t338 @t306)) % 56.45/56.61 (define @t340 () (or @t266 @t274 @t282 @t339)) % 56.45/56.61 (define @t341 () (forall @t69 (or @t305 (not (tptp.r3_lattice3 @t222 @t64 @t224)) (tptp.r3_lattices @t222 @t64 @t238)))) % 56.45/56.61 (define @t342 () (@quantifiers_skolemize @t341 0)) % 56.45/56.61 (define @t343 () (tptp.m1_subset_1 @t342 @t223)) % 56.45/56.61 (define @t344 () (tptp.r3_lattices @t222 @t342 @t238)) % 56.45/56.61 (define @t345 () (tptp.r3_lattice3 @t222 @t342 @t224)) % 56.45/56.61 (define @t346 () (not @t345)) % 56.45/56.61 (define @t347 () (not @t343)) % 56.45/56.61 (define @t348 () (or @t347 @t346 @t344)) % 56.45/56.61 (define @t349 () (forall @t69 (or @t305 @t304 (tptp.r1_lattices @t222 @t342 @t64)))) % 56.45/56.61 (define @t350 () (= @t345 @t349)) % 56.45/56.61 (define @t351 () (or @t266 @t274 @t347 @t350)) % 56.45/56.61 (define @t352 () (tptp.v4_lattice3 @t222)) % 56.45/56.61 (define @t353 () (tptp.v14_lattices @t222)) % 56.45/56.61 (define @t354 () (tptp.v10_lattices @t222)) % 56.45/56.61 (define @t355 () (tptp.v9_lattices @t222)) % 56.45/56.61 (define @t356 () (tptp.v8_lattices @t222)) % 56.45/56.61 (define @t357 () (tptp.v6_lattices @t222)) % 56.45/56.61 (define @t358 () (and @t267 @t265 (tptp.v4_lattices @t222) (tptp.v5_lattices @t222) @t357 (tptp.v7_lattices @t222) @t356 @t355 @t354 (tptp.v13_lattices @t222) @t353 (tptp.v15_lattices @t222) @t352)) % 56.45/56.61 (define @t359 () (or @t232 @t231 @t358)) % 56.45/56.61 (define @t360 () (not @t358)) % 56.45/56.61 (define @t361 () (@list @t358)) % 56.45/56.61 (define @t362 () (not @t171)) % 56.45/56.61 (define @t363 () (not @t36)) % 56.45/56.61 (define @t364 () (not @t37)) % 56.45/56.61 (define @t365 () (not @t39)) % 56.45/56.61 (define @t366 () (or @t42 @t365 @t364 @t363 @t315 @t325 @t362 @t170)) % 56.45/56.61 (define @t367 () (or @t262 @t365 @t364 @t363 @t315 @t325 @t362)) % 56.45/56.61 (define @t368 () (tptp.r1_lattices @t222 @t342 @t238)) % 56.45/56.61 (define @t369 () (= @t344 @t368)) % 56.45/56.61 (define @t370 () (not @t355)) % 56.45/56.61 (define @t371 () (not @t356)) % 56.45/56.61 (define @t372 () (not @t357)) % 56.45/56.61 (define @t373 () (or @t266 @t372 @t371 @t370 @t274 @t347 @t282 @t369)) % 56.45/56.61 (define @t374 () (tptp.r2_hidden @t238 @t224)) % 56.45/56.61 (define @t375 () (not @t374)) % 56.45/56.61 (define @t376 () (or @t282 @t375 @t368)) % 56.45/56.61 (define @t377 () (not @t179)) % 56.45/56.61 (define @t378 () (not @t136)) % 56.45/56.61 (define @t379 () (tptp.l1_struct_0 @t222)) % 56.45/56.61 (define @t380 () (or @t278 @t379)) % 56.45/56.61 (define @t381 () (tptp.v1_xboole_0 @t223)) % 56.45/56.61 (define @t382 () (not @t381)) % 56.45/56.61 (define @t383 () (not @t379)) % 56.45/56.61 (define @t384 () (or @t266 @t383 @t382)) % 56.45/56.61 (define @t385 () (tptp.r2_hidden @t238 @t223)) % 56.45/56.61 (define @t386 () (or @t282 @t381 @t385)) % 56.45/56.61 (define @t387 () (@list @t223)) % 56.45/56.61 (define @t388 () (not @t385)) % 56.45/56.61 (define @t389 () (= @t223 @t224)) % 56.45/56.61 (define @t390 () (not @t389)) % 56.45/56.61 (define @t391 () (and @t375 @t389 @t385)) % 56.45/56.61 (define @t392 () (not @t348)) % 56.45/56.61 (define @t393 () (not @t341)) % 56.45/56.61 (define @t394 () (@var "BOUND_VARIABLE_8937" $$unsorted)) % 56.45/56.61 (define @t395 () (@var "BOUND_VARIABLE_8939" $$unsorted)) % 56.45/56.61 (define @t396 () (= (= @t394 (tptp.k16_lattice3 @t1 @t395)) (and (tptp.r3_lattice3 @t1 @t394 @t395) (forall @t69 (or @t312 (not (tptp.r3_lattice3 @t1 @t64 @t395)) (tptp.r3_lattices @t1 @t64 @t394)))))) % 56.45/56.61 (define @t397 () (not (tptp.m1_subset_1 @t394 @t17))) % 56.45/56.61 (define @t398 () (not @t198)) % 56.45/56.61 (define @t399 () (not @t45)) % 56.45/56.61 (define @t400 () (or @t397 @t396)) % 56.45/56.61 (define @t401 () (or @t42 @t399 @t398 @t315 @t400)) % 56.45/56.61 (define @t402 () (forall (@list @t1 @t394 @t395) @t401)) % 56.45/56.61 (define @t403 () (@list @t394 @t395)) % 56.45/56.61 (define @t404 () (forall @t403 @t401)) % 56.45/56.61 (define @t405 () (forall @t403 @t400)) % 56.45/56.61 (define @t406 () (@var "BOUND_VARIABLE_8916" $$unsorted)) % 56.45/56.61 (define @t407 () (or @t42 @t399 @t398 @t315 @t405)) % 56.45/56.61 (define @t408 () (= (= @t20 (tptp.k16_lattice3 @t1 @t406)) (and (tptp.r3_lattice3 @t1 @t20 @t406) (forall @t69 (or @t312 (not (tptp.r3_lattice3 @t1 @t64 @t406)) @t188))))) % 56.45/56.61 (define @t409 () (or @t325 @t408)) % 56.45/56.61 (define @t410 () (forall (@list @t20 @t406) @t409)) % 56.45/56.61 (define @t411 () (or @t42 @t399 @t398 @t315 @t410)) % 56.45/56.61 (define @t412 () (or @t42 @t399 @t398 @t315)) % 56.45/56.61 (define @t413 () (or @t262 @t399 @t398 @t315)) % 56.45/56.61 (define @t414 () (not @t199)) % 56.45/56.61 (define @t415 () (@list @t406)) % 56.45/56.61 (define @t416 () (forall @t415 @t409)) % 56.45/56.61 (define @t417 () (forall @t415 @t408)) % 56.45/56.61 (define @t418 () (or @t325 @t417)) % 56.45/56.61 (define @t419 () (not @t189)) % 56.45/56.61 (define @t420 () (or @t312 @t419 @t188)) % 56.45/56.61 (define @t421 () (forall @t57 (= @t193 (and @t71 (forall @t69 @t420))))) % 56.45/56.61 (define @t422 () (and @t338 @t341)) % 56.45/56.61 (define @t423 () (tptp.k16_lattice3 @t222 @t224)) % 56.45/56.61 (define @t424 () (= @t238 @t423)) % 56.45/56.61 (define @t425 () (= @t424 @t422)) % 56.45/56.61 (define @t426 () (not @t352)) % 56.45/56.61 (define @t427 () (not @t354)) % 56.45/56.61 (define @t428 () (or @t266 @t427 @t426 @t274 @t282 @t425)) % 56.45/56.61 (define @t429 () (= @t423 @t238)) % 56.45/56.61 (define @t430 () (= @t236 (tptp.k15_lattice3 @t222 @t223))) % 56.45/56.61 (define @t431 () (and @t267 @t354 @t353 @t264 @t430)) % 56.45/56.61 (define @t432 () (or @t266 @t427 @t426 @t274 @t431)) % 56.45/56.61 (define @t433 () (tptp.k15_lattice3 @t222 @t224)) % 56.45/56.61 (define @t434 () (@var "BOUND_VARIABLE_8372" $$unsorted)) % 56.45/56.61 (define @t435 () (= (tptp.k3_conlat_2 @t1 @t434) (tptp.k15_lattice3 @t3 @t434))) % 56.45/56.61 (define @t436 () (not (tptp.m1_subset_1 @t434 @t93))) % 56.45/56.61 (define @t437 () (or @t436 @t435)) % 56.45/56.61 (define @t438 () (or @t9 @t213 @t437)) % 56.45/56.61 (define @t439 () (forall (@list @t1 @t434) @t438)) % 56.45/56.61 (define @t440 () (@list @t434)) % 56.45/56.61 (define @t441 () (forall @t440 @t438)) % 56.45/56.61 (define @t442 () (forall @t440 @t437)) % 56.45/56.61 (define @t443 () (or @t9 @t213 @t442)) % 56.45/56.61 (define @t444 () (not @t94)) % 56.45/56.61 (define @t445 () (forall @t51 (or @t444 @t99))) % 56.45/56.61 (define @t446 () (or @t9 @t213 @t445)) % 56.45/56.61 (define @t447 () (@list @t218 @t224)) % 56.45/56.61 (define @t448 () (= @t228 @t433)) % 56.45/56.61 (define @t449 () (tptp.m1_subset_1 @t224 (tptp.k1_zfmisc_1 @t223))) % 56.45/56.61 (define @t450 () (not @t449)) % 56.45/56.61 (define @t451 () (or @t232 @t231 @t450 @t448)) % 56.45/56.61 (define @t452 () (@list true false)) % 56.45/56.61 (define @t453 () (@var "BOUND_VARIABLE_8352" $$unsorted)) % 56.45/56.61 (define @t454 () (= (tptp.k2_conlat_2 @t1 @t453) (tptp.k16_lattice3 @t3 @t453))) % 56.45/56.61 (define @t455 () (not (tptp.m1_subset_1 @t453 @t93))) % 56.45/56.61 (define @t456 () (or @t455 @t454)) % 56.45/56.61 (define @t457 () (or @t9 @t213 @t456)) % 56.45/56.61 (define @t458 () (forall (@list @t1 @t453) @t457)) % 56.45/56.61 (define @t459 () (@list @t453)) % 56.45/56.61 (define @t460 () (forall @t459 @t457)) % 56.45/56.61 (define @t461 () (forall @t459 @t456)) % 56.45/56.61 (define @t462 () (or @t9 @t213 @t461)) % 56.45/56.61 (define @t463 () (forall @t51 (or @t444 @t92))) % 56.45/56.61 (define @t464 () (or @t9 @t213 @t463)) % 56.45/56.61 (define @t465 () (= @t225 @t423)) % 56.45/56.61 (define @t466 () (or @t232 @t231 @t450 @t465)) % 56.45/56.61 (define @t467 () (not @t422)) % 56.45/56.61 (define @t468 () (not @t306)) % 56.45/56.61 (define @t469 () (tptp.r1_lattices @t222 @t238 @t307)) % 56.45/56.61 (define @t470 () (tptp.m1_subset_1 @t307 @t223)) % 56.45/56.61 (define @t471 () (not @t470)) % 56.45/56.61 (define @t472 () (or @t471 (not (tptp.r2_hidden @t307 @t224)) @t469)) % 56.45/56.61 (define @t473 () (not @t472)) % 56.45/56.61 (define @t474 () (@list @t472)) % 56.45/56.61 (define @t475 () (tptp.l3_conlat_1 @t308 @t218)) % 56.45/56.61 (define @t476 () (tptp.v9_conlat_1 @t308 @t218)) % 56.45/56.61 (define @t477 () (tptp.v7_conlat_1 @t308 @t218)) % 56.45/56.61 (define @t478 () (not @t477)) % 56.45/56.61 (define @t479 () (and (tptp.v6_conlat_1 @t308 @t218) @t478 @t476 @t475)) % 56.45/56.61 (define @t480 () (or @t232 @t231 @t471 @t479)) % 56.45/56.61 (define @t481 () (not @t479)) % 56.45/56.61 (define @t482 () (@list @t479)) % 56.45/56.61 (define @t483 () (tptp.r2_conlat_1 @t218 @t221 @t308)) % 56.45/56.61 (define @t484 () (and (tptp.r2_conlat_1 @t218 @t308 @t227) @t483)) % 56.45/56.61 (define @t485 () (not @t475)) % 56.45/56.61 (define @t486 () (not @t476)) % 56.45/56.61 (define @t487 () (or @t232 @t231 @t477 @t486 @t485 @t484)) % 56.45/56.61 (define @t488 () (@var "BOUND_VARIABLE_8987" $$unsorted)) % 56.45/56.61 (define @t489 () (@var "BOUND_VARIABLE_8985" $$unsorted)) % 56.45/56.61 (define @t490 () (= (tptp.r3_lattices @t3 @t489 @t488) (tptp.r2_conlat_1 @t1 (tptp.k12_conlat_1 @t1 @t489) (tptp.k12_conlat_1 @t1 @t488)))) % 56.45/56.61 (define @t491 () (not (tptp.m1_subset_1 @t488 @t4))) % 56.45/56.61 (define @t492 () (not (tptp.m1_subset_1 @t489 @t4))) % 56.45/56.61 (define @t493 () (or @t492 @t491 @t490)) % 56.45/56.61 (define @t494 () (or @t9 @t213 @t493)) % 56.45/56.61 (define @t495 () (forall (@list @t1 @t489 @t488) @t494)) % 56.45/56.61 (define @t496 () (@list @t489 @t488)) % 56.45/56.61 (define @t497 () (forall @t496 @t494)) % 56.45/56.61 (define @t498 () (forall @t496 @t493)) % 56.45/56.61 (define @t499 () (@var "BOUND_VARIABLE_8967" $$unsorted)) % 56.45/56.61 (define @t500 () (or @t9 @t213 @t498)) % 56.45/56.61 (define @t501 () (= (tptp.r3_lattices @t3 @t20 @t499) (tptp.r2_conlat_1 @t1 @t85 (tptp.k12_conlat_1 @t1 @t499)))) % 56.45/56.61 (define @t502 () (not (tptp.m1_subset_1 @t499 @t4))) % 56.45/56.61 (define @t503 () (or @t258 @t502 @t501)) % 56.45/56.61 (define @t504 () (@list @t20 @t499)) % 56.45/56.61 (define @t505 () (forall @t504 @t503)) % 56.45/56.61 (define @t506 () (or @t9 @t213 @t505)) % 56.45/56.61 (define @t507 () (or @t502 @t501)) % 56.45/56.61 (define @t508 () (or @t258 @t507)) % 56.45/56.61 (define @t509 () (forall @t504 @t508)) % 56.45/56.61 (define @t510 () (@list @t499)) % 56.45/56.61 (define @t511 () (forall @t510 @t508)) % 56.45/56.61 (define @t512 () (forall @t510 @t507)) % 56.45/56.61 (define @t513 () (or @t258 @t512)) % 56.45/56.61 (define @t514 () (forall @t57 (or (not @t203) @t202))) % 56.45/56.61 (define @t515 () (tptp.r2_conlat_1 @t218 @t280 @t308)) % 56.45/56.61 (define @t516 () (tptp.r3_lattices @t222 @t238 @t307)) % 56.45/56.61 (define @t517 () (= @t516 @t515)) % 56.45/56.61 (define @t518 () (or @t232 @t231 @t282 @t471 @t517)) % 56.45/56.61 (define @t519 () (or @t266 @t372 @t371 @t370 @t274 @t282 @t471 (= @t516 @t469))) % 56.45/56.61 (define @t520 () (forall @t35 @t366)) % 56.45/56.61 (define @t521 () (= @t469 @t516)) % 56.45/56.61 (define @t522 () (or @t266 @t372 @t371 @t370 @t274 @t282 @t471 @t521)) % 56.45/56.61 (define @t523 () (not @t516)) % 56.45/56.61 (define @t524 () (not @t515)) % 56.45/56.61 (define @t525 () (and @t239 @t281 @t483)) % 56.45/56.61 (assume @p1 @t14) % 56.45/56.61 (assume @p2 (forall @t12 (=> @t19 (=> @t18 (= @t1 (tptp.g3_lattices @t17 @t16 @t15)))))) % 56.45/56.61 (assume @p3 (forall @t27 (=> @t26 (=> @t23 (= @t20 (tptp.g3_conlat_1 @t1 @t22 @t21)))))) % 56.45/56.61 (assume @p4 (forall @t27 (=> @t28 (not (tptp.r2_hidden @t20 @t1))))) % 56.45/56.61 (assume @p5 (forall @t35 (=> @t34 (=> (and @t31 @t33) @t32)))) % 56.45/56.61 (assume @p6 (forall @t12 (=> @t19 (=> @t46 @t44)))) % 56.45/56.61 (assume @p7 (forall @t35 (=> @t49 @t47))) % 56.45/56.61 (assume @p8 (forall @t12 (=> (and @t9 @t25) (forall @t51 (=> @t24 @t50))))) % 56.45/56.61 (assume @p9 (forall @t12 (=> @t19 (=> @t44 @t46)))) % 56.45/56.61 (assume @p10 (forall @t12 (=> @t19 (=> @t56 @t53)))) % 56.45/56.61 (assume @p11 (forall @t12 (=> @t19 (=> @t53 @t56)))) % 56.45/56.61 (assume @p12 (forall @t27 (=> @t59 (forall @t57 (=> @t34 (=> @t32 (and @t31 @t33 @t30))))))) % 56.45/56.61 (assume @p13 (forall @t27 (=> @t63 (forall @t57 (=> @t34 (=> @t32 (and @t31 (not @t60) @t33 @t30))))))) % 56.45/56.61 (assume @p14 @t79) % 56.45/56.61 (assume @p15 (forall @t12 (=> @t11 (forall @t51 (=> (and @t23 @t83 @t81 @t24) (= @t80 @t20)))))) % 56.45/56.61 (assume @p16 (forall @t12 (=> @t77 (forall @t51 (= @t84 (tptp.k15_lattice3 @t1 (tptp.a_2_1_lattice3 @t1 @t20))))))) % 56.45/56.61 (assume @p17 @t90) % 56.45/56.61 (assume @p18 @t97) % 56.45/56.61 (assume @p19 @t102) % 56.45/56.61 (assume @p20 @t104) % 56.45/56.61 (assume @p21 (forall @t35 (=> @t111 (and (tptp.v6_conlat_1 @t105 @t1) (tptp.l3_conlat_1 @t105 @t1))))) % 56.45/56.61 (assume @p22 (forall @t35 (=> @t120 (and @t113 (tptp.l3_lattices @t112))))) % 56.45/56.61 (assume @p23 @t124) % 56.45/56.61 (assume @p24 @t127) % 56.45/56.61 (assume @p25 (forall @t27 (=> @t77 (tptp.m1_subset_1 (tptp.k15_lattice3 @t1 @t20) @t17)))) % 56.45/56.61 (assume @p26 (forall @t27 (=> @t77 (tptp.m1_subset_1 @t84 @t17)))) % 56.45/56.61 (assume @p27 (forall @t27 (=> (and @t10 @t8 @t23 @t83 @t81 @t24) (tptp.m1_subset_1 @t80 @t4)))) % 56.45/56.61 (assume @p28 true) % 56.45/56.61 (assume @p29 (forall @t27 (=> @t128 (and (not (tptp.v7_conlat_1 @t91 @t1)) (tptp.v9_conlat_1 @t91 @t1) (tptp.l3_conlat_1 @t91 @t1))))) % 56.45/56.61 (assume @p30 (forall @t12 (tptp.m1_subset_1 @t103 @t129))) % 56.45/56.61 (assume @p31 (forall @t27 (=> @t128 (and (not (tptp.v7_conlat_1 @t98 @t1)) (tptp.v9_conlat_1 @t98 @t1) (tptp.l3_conlat_1 @t98 @t1))))) % 56.45/56.61 (assume @p32 (forall @t12 (=> @t11 (and (tptp.v6_conlat_1 @t6 @t1) (not (tptp.v7_conlat_1 @t6 @t1)) (tptp.v9_conlat_1 @t6 @t1) (tptp.v10_conlat_1 @t6 @t1) (tptp.l3_conlat_1 @t6 @t1))))) % 56.45/56.61 (assume @p33 @t133) % 56.45/56.61 (assume @p34 (forall @t12 (=> @t11 (and (tptp.v6_conlat_1 @t2 @t1) (not (tptp.v7_conlat_1 @t2 @t1)) (tptp.v9_conlat_1 @t2 @t1) (tptp.v11_conlat_1 @t2 @t1) (tptp.l3_conlat_1 @t2 @t1))))) % 56.45/56.61 (assume @p35 (forall @t12 (=> (and @t43 @t135) (tptp.m1_subset_1 @t134 @t17)))) % 56.45/56.61 (assume @p36 @t137) % 56.45/56.61 (assume @p37 (forall @t12 (=> @t8 @t25))) % 56.45/56.61 (assume @p38 (forall @t12 (=> @t135 @t136))) % 56.45/56.61 (assume @p39 @t139) % 56.45/56.61 (assume @p40 (forall @t35 (=> @t140 @t49))) % 56.45/56.61 (assume @p41 (forall @t12 (=> @t131 (and @t143 @t142 (tptp.m2_relset_1 @t15 @t141 @t17))))) % 56.45/56.61 (assume @p42 (forall @t12 (=> @t135 (and @t145 @t144 (tptp.m2_relset_1 @t16 @t141 @t17))))) % 56.45/56.61 (assume @p43 (forall @t27 (=> @t26 (tptp.m1_subset_1 @t22 @t109)))) % 56.45/56.61 (assume @p44 (forall @t27 (=> @t26 (tptp.m1_subset_1 @t21 @t107)))) % 56.45/56.61 (assume @p45 (exists @t12 @t25)) % 56.45/56.61 (assume @p46 (exists @t12 @t131)) % 56.45/56.61 (assume @p47 (exists @t12 @t136)) % 56.45/56.61 (assume @p48 (exists @t12 @t8)) % 56.45/56.61 (assume @p49 (exists @t12 @t135)) % 56.45/56.61 (assume @p50 (forall @t12 (=> @t25 (exists @t51 @t24)))) % 56.45/56.61 (assume @p51 (exists @t12 @t19)) % 56.45/56.61 (assume @p52 (forall @t27 (exists @t57 @t34))) % 56.45/56.61 (assume @p53 (forall @t12 (exists @t51 (tptp.m1_subset_1 @t20 @t1)))) % 56.45/56.61 (assume @p54 (forall @t27 (exists @t57 @t140))) % 56.45/56.61 (assume @p55 (forall @t12 (=> @t146 (not (tptp.v1_xboole_0 @t106))))) % 56.45/56.61 (assume @p56 @t156) % 56.45/56.61 (assume @p57 @t159) % 56.45/56.61 (assume @p58 (forall @t12 (not (tptp.v1_xboole_0 @t129)))) % 56.45/56.61 (assume @p59 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 56.45/56.61 (assume @p60 (forall @t12 (=> @t146 (not (tptp.v1_xboole_0 @t108))))) % 56.45/56.61 (assume @p61 (forall @t12 (=> (and @t43 @t41 @t135) (and @t161 @t145 @t144 (tptp.v1_binop_1 @t16 @t17) @t160)))) % 56.45/56.61 (assume @p62 (forall @t12 (=> (and @t43 @t40 @t135) (and @t161 @t145 @t144 (tptp.v2_binop_1 @t16 @t17) @t160)))) % 56.45/56.61 (assume @p63 (forall @t35 (=> (and @t62 @t119 @t118 @t117 @t31 @t116 @t115) (and (not (tptp.v3_struct_0 @t112)) @t113)))) % 56.45/56.61 (assume @p64 (forall @t12 (=> @t11 (and @t122 @t121 @t154 @t153 @t152 @t151 @t150 @t149 @t148)))) % 56.45/56.61 (assume @p65 (forall @t12 (=> (and @t43 @t39 @t131) (and @t163 @t143 @t142 (tptp.v1_binop_1 @t15 @t17) @t162)))) % 56.45/56.61 (assume @p66 (forall @t27 (=> @t63 (not (tptp.v1_xboole_0 @t48))))) % 56.45/56.61 (assume @p67 (forall @t12 (=> @t11 (and @t122 @t121 @t154 @t153 @t152 @t151 @t150 @t149 @t148 @t147)))) % 56.45/56.61 (assume @p68 (forall @t12 (=> (and @t43 @t38 @t131) (and @t163 @t143 @t142 (tptp.v2_binop_1 @t15 @t17) @t162)))) % 56.45/56.61 (assume @p69 (forall @t35 (=> (and (not (tptp.v3_struct_0 @t20)) (tptp.l3_lattices @t20)) (= (tptp.r2_hidden @t1 (tptp.a_2_1_lattice3 @t20 @t29)) (exists @t69 (and (tptp.m1_subset_1 @t64 (tptp.u1_struct_0 @t20)) @t164 (tptp.r3_lattice3 @t20 @t64 @t29))))))) % 56.45/56.61 (assume @p70 (forall @t35 (=> @t111 (forall @t168 (=> (= @t105 (tptp.g3_conlat_1 @t64 @t166 @t165)) @t167))))) % 56.45/56.61 (assume @p71 (forall @t35 (=> @t120 (forall @t168 (=> (= @t112 (tptp.g3_lattices @t64 @t166 @t165)) @t167))))) % 56.45/56.61 (assume @p72 (forall @t12 (=> @t25 (exists @t51 (and @t24 @t23))))) % 56.45/56.61 (assume @p73 (forall @t12 (=> @t146 (exists @t51 (and @t24 @t23 @t83))))) % 56.45/56.61 (assume @p74 (exists @t12 (and @t19 @t43 @t18 @t41 @t40 @t39 @t38 @t37 @t36 @t45 @t55 @t54 @t52))) % 56.45/56.61 (assume @p75 (forall @t12 (=> @t146 (exists @t51 (and @t24 @t23 @t50))))) % 56.45/56.61 (assume @p76 (forall @t12 (=> @t11 (exists @t51 (and @t24 @t83 @t81))))) % 56.45/56.61 (assume @p77 (forall @t12 (=> @t11 (exists @t51 (and @t24 @t23 @t83 @t81))))) % 56.45/56.61 (assume @p78 (forall @t12 (=> @t11 (exists @t51 (and @t24 @t23 @t83 @t81 (tptp.v10_conlat_1 @t20 @t1)))))) % 56.45/56.61 (assume @p79 (forall @t12 (=> @t11 (exists @t51 (and @t24 @t23 @t83 @t81 (tptp.v11_conlat_1 @t20 @t1)))))) % 56.45/56.61 (assume @p80 (forall @t27 (exists @t57 (and @t34 @t47 @t31 @t30)))) % 56.45/56.61 (assume @p81 (forall @t12 (=> @t62 (exists @t51 (and @t169 @t59))))) % 56.45/56.61 (assume @p82 (exists @t12 @t61)) % 56.45/56.61 (assume @p83 (forall @t27 (exists @t57 (and @t34 @t47 @t31)))) % 56.45/56.61 (assume @p84 (forall @t12 (exists @t51 (and @t169 @t58)))) % 56.45/56.61 (assume @p85 (exists @t12 @t62)) % 56.45/56.61 (assume @p86 (exists @t12 (and @t19 @t18))) % 56.45/56.61 (assume @p87 (exists @t12 (and @t136 @t43))) % 56.45/56.61 (assume @p88 (forall @t12 (=> @t158 (exists @t51 (and (tptp.m1_subset_1 @t20 (tptp.k1_zfmisc_1 @t17)) @t59))))) % 56.45/56.61 (assume @p89 (exists @t12 (and @t19 @t43 @t18))) % 56.45/56.61 (assume @p90 (forall @t12 (=> @t146 (exists @t51 (and @t110 @t59))))) % 56.45/56.61 (assume @p91 (forall @t12 (=> @t146 (exists @t51 (and (tptp.m1_subset_1 @t20 @t107) @t59))))) % 56.45/56.61 (assume @p92 (exists @t12 (and @t19 @t43 @t18 @t41 @t40 @t39 @t38 @t37 @t36 @t45))) % 56.45/56.61 (assume @p93 (forall @t35 (= @t140 @t34))) % 56.45/56.61 (assume @p94 @t173) % 56.45/56.61 (assume @p95 (forall @t27 (tptp.r1_tarski @t1 @t1))) % 56.45/56.61 (assume @p96 (forall @t35 (=> @t172 (tptp.r3_lattices @t1 @t20 @t20)))) % 56.45/56.61 (assume @p97 @t178) % 56.45/56.61 (assume @p98 (forall @t27 (=> @t28 @t179))) % 56.45/56.61 (assume @p99 @t181) % 56.45/56.61 (assume @p100 (forall @t27 (=> (forall @t57 (= (tptp.r2_hidden @t29 @t1) (tptp.r2_hidden @t29 @t20))) @t182))) % 56.45/56.61 (assume @p101 @t187) % 56.45/56.61 (assume @p102 @t201) % 56.45/56.61 (assume @p103 (forall @t27 (= (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t20)) (tptp.r1_tarski @t1 @t20)))) % 56.45/56.61 (assume @p104 @t208) % 56.45/56.61 (assume @p105 (forall @t35 (=> (and @t28 @t209) (tptp.m1_subset_1 @t1 @t29)))) % 56.45/56.61 (assume @p106 @t211) % 56.45/56.61 (assume @p107 (forall @t35 (not (and @t28 @t209 @t60)))) % 56.45/56.61 (assume @p108 (forall @t12 (=> @t61 (= @t1 tptp.k1_xboole_0)))) % 56.45/56.61 (assume @p109 (forall @t27 (not (and @t28 @t58)))) % 56.45/56.61 (assume @p110 (forall @t27 (not (and @t61 (not @t182) @t58)))) % 56.45/56.61 (step @p111 :rule aci_norm :args ((= (or @t214 @t212) (or @t9 @t213 @t212)))) % 56.45/56.61 (step @p112 :rule refl :args (@t212)) % 56.45/56.61 (step @p113 :rule refl :args (@t213)) % 56.45/56.61 (step @p114 :rule bool-double-not-elim :args (@t9)) % 56.45/56.61 (step @p115 :rule nary_cong :premises (@p114 @p113) :args ((or @t215 @t213))) % 56.45/56.61 (step @p116 :rule bool-and-de-morgan :args (@t10 @t8 true)) % 56.45/56.61 (step @p117 :rule trans :premises (@p116 @p115)) % 56.45/56.61 (step @p118 :rule nary_cong :premises (@p117 @p112) :args ((or @t216 @t212))) % 56.45/56.61 (step @p119 :rule trans :premises (@p118 @p111)) % 56.45/56.61 (step @p120 :rule bool-impl-elim :args (@t11 @t212)) % 56.45/56.61 (step @p121 :rule trans :premises (@p120 @p119)) % 56.45/56.61 (step @p122 :rule cong :premises (@p121) :args ((forall @t12 (=> @t11 @t212)))) % 56.45/56.61 (step @p123 :rule eq-symm :args (@t174 @t6)) % 56.45/56.61 (step @p124 :rule eq-symm :args (@t175 @t2)) % 56.45/56.61 (step @p125 :rule nary_cong :premises (@p124 @p123) :args (@t176)) % 56.45/56.61 (step @p126 :rule refl :args (@t11)) % 56.45/56.61 (step @p127 :rule cong :premises (@p126 @p125) :args (@t177)) % 56.45/56.61 (step @p128 :rule cong :premises (@p127) :args (@t178)) % 56.45/56.61 (step @p129 :rule trans :premises (@p128 @p122)) % 56.45/56.61 (step @p130 :rule eq_resolve :premises (@p97 @p129)) % 56.45/56.61 (step @p131 :rule instantiate :premises (@p130) :args (@t219)) % 56.45/56.61 (step @p132 :rule aci_norm :args ((= (or @t214 @t7) @t217))) % 56.45/56.61 (step @p133 :rule refl :args (@t7)) % 56.45/56.61 (step @p134 :rule nary_cong :premises (@p117 @p133) :args ((or @t216 @t7))) % 56.45/56.61 (step @p135 :rule trans :premises (@p134 @p132)) % 56.45/56.61 (step @p136 :rule bool-impl-elim :args (@t11 @t7)) % 56.45/56.61 (step @p137 :rule trans :premises (@p136 @p135)) % 56.45/56.61 (step @p138 :rule cong :premises (@p137) :args (@t13)) % 56.45/56.61 (step @p139 :rule cong :premises (@p138) :args (@t14)) % 56.45/56.61 (step @p140 :rule eq_resolve :premises (@p1 @p139)) % 56.45/56.61 (step @p141 :rule skolemize :premises (@p140)) % 56.45/56.61 (step @p142 :rule bool-double-not-elim :args (@t220)) % 56.45/56.61 (step @p143 :rule refl :args (@t233)) % 56.45/56.61 (step @p144 :rule nary_cong :premises (@p143 @p142) :args ((or @t233 (not @t231)))) % 56.45/56.61 (step @p145 :rule cnf_or_neg :args (@t233 1)) % 56.45/56.61 (step @p146 :rule eq_resolve :premises (@p145 @p144)) % 56.45/56.61 (step @p147 :rule reordering :premises (@p146) :args ((or @t220 @t233))) % 56.45/56.61 (step @p148 :rule chain_m_resolution :premises (@p147 @p141) :args (@t220 @t234 @t235)) % 56.45/56.61 (step @p149 :rule cnf_or_neg :args (@t233 0)) % 56.45/56.61 (step @p150 :rule chain_m_resolution :premises (@p149 @p141) :args ((not @t232) @t234 @t235)) % 56.45/56.61 (step @p151 :rule cnf_or_pos :args (@t241)) % 56.45/56.61 (step @p152 :rule reordering :premises (@p151) :args ((or @t232 @t231 @t240 (not @t241)))) % 56.45/56.61 (step @p153 :rule chain_m_resolution :premises (@p152 @p150 @p148 @p131) :args (@t240 @t242 (@list @t232 @t220 @t241))) % 56.45/56.61 (step @p154 :rule cnf_and_pos :args (@t240 0)) % 56.45/56.61 (step @p155 :rule reordering :premises (@p154) :args ((or @t239 @t243))) % 56.45/56.61 (step @p156 :rule chain_m_resolution :premises (@p155 @p153) :args (@t239 @t244 @t245)) % 56.45/56.61 (step @p157 :rule aci_norm :args ((= @t250 (or @t9 @t213 @t248 @t247)))) % 56.45/56.61 (step @p158 :rule cong :premises (@p157) :args (@t251)) % 56.45/56.61 (step @p159 :rule quant-merge-prenex :args ((= (forall @t12 @t253) @t251))) % 56.45/56.61 (step @p160 :rule alpha_equiv :args (@t254 (@list @t246) @t255)) % 56.45/56.61 (step @p161 :rule refl :args (@t9)) % 56.45/56.61 (step @p162 :rule nary_cong :premises (@p161 @p113 @p160) :args (@t256)) % 56.45/56.61 (step @p163 :rule quant-miniscope-or :args ((= @t253 @t256))) % 56.45/56.61 (step @p164 :rule trans :premises (@p163 @p162)) % 56.45/56.61 (step @p165 :rule symm :premises (@p164)) % 56.45/56.61 (step @p166 :rule cong :premises (@p165) :args ((forall @t12 @t260))) % 56.45/56.61 (step @p167 :rule trans :premises (@p166 @p159)) % 56.45/56.61 (step @p168 :rule trans :premises (@p167 @p158)) % 56.45/56.61 (step @p169 :rule aci_norm :args ((= (or @t214 @t259) @t260))) % 56.45/56.61 (step @p170 :rule refl :args (@t259)) % 56.45/56.61 (step @p171 :rule nary_cong :premises (@p117 @p170) :args ((or @t216 @t259))) % 56.45/56.61 (step @p172 :rule trans :premises (@p171 @p169)) % 56.45/56.61 (step @p173 :rule bool-impl-elim :args (@t11 @t259)) % 56.45/56.61 (step @p174 :rule trans :premises (@p173 @p172)) % 56.45/56.61 (step @p175 :rule cong :premises (@p174) :args ((forall @t12 (=> @t11 @t259)))) % 56.45/56.61 (step @p176 :rule trans :premises (@p175 @p168)) % 56.45/56.61 (step @p177 :rule bool-impl-elim :args (@t86 @t257)) % 56.45/56.61 (step @p178 :rule cong :premises (@p177) :args ((forall @t51 (=> @t86 @t257)))) % 56.45/56.61 (step @p179 :rule eq-symm :args (@t85 @t20)) % 56.45/56.61 (step @p180 :rule refl :args (@t86)) % 56.45/56.61 (step @p181 :rule cong :premises (@p180 @p179) :args (@t87)) % 56.45/56.61 (step @p182 :rule cong :premises (@p181) :args (@t88)) % 56.45/56.61 (step @p183 :rule trans :premises (@p182 @p178)) % 56.45/56.61 (step @p184 :rule cong :premises (@p126 @p183) :args (@t89)) % 56.45/56.61 (step @p185 :rule cong :premises (@p184) :args (@t90)) % 56.45/56.61 (step @p186 :rule trans :premises (@p185 @p176)) % 56.45/56.61 (step @p187 :rule eq_resolve :premises (@p17 @p186)) % 56.45/56.61 (step @p188 :rule instantiate :premises (@p187) :args ((@list @t218 @t238))) % 56.45/56.61 (step @p189 :rule aci_norm :args ((= (or (or @t42 @t261) @t130) (or @t42 @t261 @t130)))) % 56.45/56.61 (step @p190 :rule refl :args (@t130)) % 56.45/56.61 (step @p191 :rule refl :args (@t261)) % 56.45/56.61 (step @p192 :rule bool-double-not-elim :args (@t42)) % 56.45/56.61 (step @p193 :rule nary_cong :premises (@p192 @p191) :args ((or @t262 @t261))) % 56.45/56.61 (step @p194 :rule bool-and-de-morgan :args (@t43 @t131 true)) % 56.45/56.61 (step @p195 :rule trans :premises (@p194 @p193)) % 56.45/56.61 (step @p196 :rule nary_cong :premises (@p195 @p190) :args ((or (not @t132) @t130))) % 56.45/56.61 (step @p197 :rule trans :premises (@p196 @p189)) % 56.45/56.61 (step @p198 :rule bool-impl-elim :args (@t132 @t130)) % 56.45/56.61 (step @p199 :rule trans :premises (@p198 @p197)) % 56.45/56.61 (step @p200 :rule cong :premises (@p199) :args (@t133)) % 56.45/56.61 (step @p201 :rule eq_resolve :premises (@p33 @p200)) % 56.45/56.61 (step @p202 :rule instantiate :premises (@p201) :args (@t263)) % 56.45/56.61 (step @p203 :rule bool-impl-elim :args (@t19 @t138)) % 56.45/56.61 (step @p204 :rule cong :premises (@p203) :args (@t139)) % 56.45/56.61 (step @p205 :rule eq_resolve :premises (@p39 @p204)) % 56.45/56.61 (step @p206 :rule instantiate :premises (@p205) :args (@t263)) % 56.45/56.61 (step @p207 :rule aci_norm :args ((= (or @t214 @t123) (or @t9 @t213 @t123)))) % 56.45/56.61 (step @p208 :rule refl :args (@t123)) % 56.45/56.61 (step @p209 :rule nary_cong :premises (@p117 @p208) :args ((or @t216 @t123))) % 56.45/56.61 (step @p210 :rule trans :premises (@p209 @p207)) % 56.45/56.61 (step @p211 :rule bool-impl-elim :args (@t11 @t123)) % 56.45/56.61 (step @p212 :rule trans :premises (@p211 @p210)) % 56.45/56.61 (step @p213 :rule cong :premises (@p212) :args (@t124)) % 56.45/56.61 (step @p214 :rule eq_resolve :premises (@p23 @p213)) % 56.45/56.61 (step @p215 :rule instantiate :premises (@p214) :args (@t219)) % 56.45/56.61 (step @p216 :rule cnf_or_pos :args (@t269)) % 56.45/56.61 (step @p217 :rule reordering :premises (@p216) :args ((or @t232 @t231 @t268 (not @t269)))) % 56.45/56.61 (step @p218 :rule chain_m_resolution :premises (@p217 @p150 @p148 @p215) :args (@t268 @t242 (@list @t232 @t220 @t269))) % 56.45/56.61 (step @p219 :rule cnf_and_pos :args (@t268 2)) % 56.45/56.61 (step @p220 :rule reordering :premises (@p219) :args ((or @t264 @t270))) % 56.45/56.61 (step @p221 :rule chain_m_resolution :premises (@p220 @p218) :args (@t264 @t244 @t271)) % 56.45/56.61 (step @p222 :rule cnf_or_pos :args (@t275)) % 56.45/56.61 (step @p223 :rule reordering :premises (@p222) :args ((or @t274 @t273 (not @t275)))) % 56.45/56.61 (step @p224 :rule chain_m_resolution :premises (@p223 @p221 @p206) :args (@t273 @t276 (@list @t264 @t275))) % 56.45/56.61 (step @p225 :rule cnf_and_pos :args (@t273 0)) % 56.45/56.61 (step @p226 :rule reordering :premises (@p225) :args ((or @t272 (not @t273)))) % 56.45/56.61 (step @p227 :rule chain_m_resolution :premises (@p226 @p224) :args (@t272 @t244 (@list @t273))) % 56.45/56.61 (step @p228 :rule cnf_and_pos :args (@t268 0)) % 56.45/56.61 (step @p229 :rule reordering :premises (@p228) :args ((or @t267 @t270))) % 56.45/56.61 (step @p230 :rule chain_m_resolution :premises (@p229 @p218) :args (@t267 @t244 @t271)) % 56.45/56.61 (step @p231 :rule cnf_or_pos :args (@t279)) % 56.45/56.61 (step @p232 :rule reordering :premises (@p231) :args ((or @t266 @t278 @t277 (not @t279)))) % 56.45/56.61 (step @p233 :rule chain_m_resolution :premises (@p232 @p230 @p227 @p202) :args (@t277 @t242 (@list @t266 @t272 @t279))) % 56.45/56.61 (step @p234 :rule cnf_or_pos :args (@t283)) % 56.45/56.61 (step @p235 :rule reordering :premises (@p234) :args ((or @t232 @t231 @t282 @t281 (not @t283)))) % 56.45/56.61 (step @p236 :rule chain_m_resolution :premises (@p235 @p150 @p148 @p233 @p188) :args (@t281 @t284 (@list @t232 @t220 @t277 @t283))) % 56.45/56.61 (step @p237 :rule aci_norm :args ((= @t291 (or @t9 @t213 @t289 @t288 @t287 @t286)))) % 56.45/56.61 (step @p238 :rule cong :premises (@p237) :args (@t292)) % 56.45/56.61 (step @p239 :rule quant-merge-prenex :args ((= (forall @t12 @t294) @t292))) % 56.45/56.61 (step @p240 :rule alpha_equiv :args (@t295 (@list @t285) @t255)) % 56.45/56.61 (step @p241 :rule nary_cong :premises (@p161 @p113 @p240) :args (@t296)) % 56.45/56.61 (step @p242 :rule quant-miniscope-or :args ((= @t294 @t296))) % 56.45/56.61 (step @p243 :rule trans :premises (@p242 @p241)) % 56.45/56.61 (step @p244 :rule symm :premises (@p243)) % 56.45/56.61 (step @p245 :rule cong :premises (@p244) :args ((forall @t12 @t301))) % 56.45/56.61 (step @p246 :rule trans :premises (@p245 @p239)) % 56.45/56.61 (step @p247 :rule trans :premises (@p246 @p238)) % 56.45/56.61 (step @p248 :rule aci_norm :args ((= (or @t214 @t300) @t301))) % 56.45/56.61 (step @p249 :rule refl :args (@t300)) % 56.45/56.61 (step @p250 :rule nary_cong :premises (@p117 @p249) :args ((or @t216 @t300))) % 56.45/56.61 (step @p251 :rule trans :premises (@p250 @p248)) % 56.45/56.61 (step @p252 :rule bool-impl-elim :args (@t11 @t300)) % 56.45/56.61 (step @p253 :rule trans :premises (@p252 @p251)) % 56.45/56.61 (step @p254 :rule cong :premises (@p253) :args ((forall @t12 (=> @t11 @t300)))) % 56.45/56.61 (step @p255 :rule trans :premises (@p254 @p247)) % 56.45/56.61 (step @p256 :rule aci_norm :args ((= (or (or @t82 @t298 @t297) @t183) @t299))) % 56.45/56.61 (step @p257 :rule refl :args (@t183)) % 56.45/56.61 (step @p258 :rule refl :args (@t297)) % 56.45/56.61 (step @p259 :rule refl :args (@t298)) % 56.45/56.61 (step @p260 :rule bool-double-not-elim :args (@t82)) % 56.45/56.61 (step @p261 :rule nary_cong :premises (@p260 @p259 @p258) :args (@t303)) % 56.45/56.61 (step @p262 :rule aci_norm :args ((= (or @t302 (or @t298 @t297)) @t303))) % 56.45/56.61 (step @p263 :rule trans :premises (@p262 @p261)) % 56.45/56.61 (step @p264 :rule bool-and-de-morgan :args (@t81 @t24 true)) % 56.45/56.61 (step @p265 :rule refl :args (@t302)) % 56.45/56.61 (step @p266 :rule nary_cong :premises (@p265 @p264) :args ((or @t302 (not (and @t81 @t24))))) % 56.45/56.61 (step @p267 :rule bool-and-de-morgan :args (@t83 @t81 (and @t24))) % 56.45/56.61 (step @p268 :rule trans :premises (@p267 @p266)) % 56.45/56.61 (step @p269 :rule trans :premises (@p268 @p263)) % 56.45/56.61 (step @p270 :rule nary_cong :premises (@p269 @p257) :args ((or (not @t184) @t183))) % 56.45/56.61 (step @p271 :rule trans :premises (@p270 @p256)) % 56.45/56.61 (step @p272 :rule bool-impl-elim :args (@t184 @t183)) % 56.45/56.61 (step @p273 :rule trans :premises (@p272 @p271)) % 56.45/56.61 (step @p274 :rule cong :premises (@p273) :args (@t185)) % 56.45/56.61 (step @p275 :rule cong :premises (@p126 @p274) :args (@t186)) % 56.45/56.61 (step @p276 :rule cong :premises (@p275) :args (@t187)) % 56.45/56.61 (step @p277 :rule trans :premises (@p276 @p255)) % 56.45/56.61 (step @p278 :rule eq_resolve :premises (@p101 @p277)) % 56.45/56.61 (step @p279 :rule instantiate :premises (@p278) :args ((@list 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@p150 @p148 @p730 @p727 @p724 @p279) :args (@t484 (@list true false true false false false) (@list @t232 @t220 @t477 @t476 @t475 @t487))) % 56.45/56.61 (step @p734 :rule cnf_and_pos :args (@t484 1)) % 56.45/56.61 (step @p735 :rule reordering :premises (@p734) :args ((or @t483 (not @t484)))) % 56.45/56.61 (step @p736 :rule chain_m_resolution :premises (@p735 @p733) :args (@t483 @t244 (@list @t484))) % 56.45/56.61 (step @p737 :rule aci_norm :args ((= @t494 (or @t9 @t213 @t492 @t491 @t490)))) % 56.45/56.61 (step @p738 :rule cong :premises (@p737) :args (@t495)) % 56.45/56.61 (step @p739 :rule quant-merge-prenex :args ((= (forall @t12 @t497) @t495))) % 56.45/56.61 (step @p740 :rule alpha_equiv :args (@t498 (@list @t489 @t488) (@list @t20 @t499))) % 56.45/56.61 (step @p741 :rule nary_cong :premises (@p161 @p113 @p740) :args (@t500)) % 56.45/56.61 (step @p742 :rule quant-miniscope-or :args ((= @t497 @t500))) % 56.45/56.61 (step @p743 :rule trans :premises (@p742 @p741)) % 56.45/56.61 (step @p744 :rule symm :premises (@p743)) % 56.45/56.61 (step @p745 :rule cong :premises (@p744) :args ((forall @t12 @t506))) % 56.45/56.61 (step @p746 :rule trans :premises (@p745 @p739)) % 56.45/56.61 (step @p747 :rule trans :premises (@p746 @p738)) % 56.45/56.61 (step @p748 :rule aci_norm :args ((= (or @t214 @t505) @t506))) % 56.45/56.61 (step @p749 :rule refl :args (@t505)) % 56.45/56.61 (step @p750 :rule nary_cong :premises (@p117 @p749) :args ((or @t216 @t505))) % 56.45/56.61 (step @p751 :rule trans :premises (@p750 @p748)) % 56.45/56.61 (step @p752 :rule bool-impl-elim :args (@t11 @t505)) % 56.45/56.61 (step @p753 :rule trans :premises (@p752 @p751)) % 56.45/56.61 (step @p754 :rule cong :premises (@p753) :args ((forall @t12 (=> @t11 @t505)))) % 56.45/56.61 (step @p755 :rule trans :premises (@p754 @p747)) % 56.45/56.61 (step @p756 :rule aci_norm :args ((= @t508 @t503))) % 56.45/56.61 (step @p757 :rule cong :premises (@p756) :args (@t509)) % 56.45/56.61 (step @p758 :rule quant-merge-prenex :args ((= (forall @t51 @t511) @t509))) % 56.45/56.61 (step @p759 :rule alpha_equiv :args (@t512 (@list @t499) @t332)) % 56.45/56.61 (step @p760 :rule nary_cong :premises (@p282 @p759) :args (@t513)) % 56.45/56.61 (step @p761 :rule quant-miniscope-or :args ((= @t511 @t513))) % 56.45/56.61 (step @p762 :rule trans :premises (@p761 @p760)) % 56.45/56.61 (step @p763 :rule symm :premises (@p762)) % 56.45/56.61 (step @p764 :rule cong :premises (@p763) :args ((forall @t51 (or @t258 @t514)))) % 56.45/56.61 (step @p765 :rule trans :premises (@p764 @p758)) % 56.45/56.61 (step @p766 :rule trans :premises (@p765 @p757)) % 56.45/56.61 (step @p767 :rule bool-impl-elim :args (@t86 @t514)) % 56.45/56.61 (step @p768 :rule cong :premises (@p767) :args ((forall @t51 (=> @t86 @t514)))) % 56.45/56.61 (step @p769 :rule trans :premises (@p768 @p766)) % 56.45/56.61 (step @p770 :rule bool-impl-elim :args (@t203 @t202)) % 56.45/56.61 (step @p771 :rule cong :premises (@p770) :args (@t204)) % 56.45/56.61 (step @p772 :rule cong :premises (@p180 @p771) :args (@t205)) % 56.45/56.61 (step @p773 :rule cong :premises (@p772) :args (@t206)) % 56.45/56.61 (step @p774 :rule trans :premises (@p773 @p769)) % 56.45/56.61 (step @p775 :rule cong :premises (@p126 @p774) :args (@t207)) % 56.45/56.61 (step @p776 :rule cong :premises (@p775) :args (@t208)) % 56.45/56.61 (step @p777 :rule trans :premises (@p776 @p755)) % 56.45/56.61 (step @p778 :rule eq_resolve :premises (@p104 @p777)) % 56.45/56.61 (step @p779 :rule instantiate :premises (@p778) :args ((@list @t218 @t238 @t307))) % 56.45/56.61 (step @p780 :rule cnf_or_pos :args (@t518)) % 56.45/56.61 (step @p781 :rule reordering :premises (@p780) :args ((or @t232 @t231 @t282 @t471 @t517 (not @t518)))) % 56.45/56.61 (step @p782 :rule chain_m_resolution :premises (@p781 @p150 @p148 @p233 @p718 @p779) :args (@t517 (@list true false false false false) (@list @t232 @t220 @t277 @t470 @t518))) % 56.45/56.61 (step @p783 :rule eq-symm :args (@t516 @t469)) % 56.45/56.61 (step @p784 :rule refl :args (@t471)) % 56.45/56.62 (step @p785 :rule refl :args (@t282)) % 56.45/56.62 (step @p786 :rule refl :args (@t274)) % 56.45/56.62 (step @p787 :rule refl :args (@t370)) % 56.45/56.62 (step @p788 :rule refl :args (@t371)) % 56.45/56.62 (step @p789 :rule refl :args (@t372)) % 56.45/56.62 (step @p790 :rule refl :args (@t266)) % 56.45/56.62 (step @p791 :rule nary_cong :premises (@p790 @p789 @p788 @p787 @p786 @p785 @p784 @p783) :args (@t519)) % 56.45/56.62 (step @p792 :rule refl :args (@t520)) % 56.45/56.62 (step @p793 :rule cong :premises (@p792 @p791) :args ((=> @t520 @t519))) % 56.45/56.62 (assume-push @p859 @t520) % 56.45/56.62 (step @p795 :rule instantiate :premises (@p427) :args ((@list @t222 @t238 @t307))) % 56.45/56.62 (step-pop @p860 :rule scope :premises (@p795)) % 56.45/56.62 (step @p796 :rule process_scope :premises (@p860) :args (@t519)) % 56.45/56.62 (step @p798 :rule eq_resolve :premises (@p796 @p793)) % 56.45/56.62 (step @p799 :rule implies_elim :premises (@p798)) % 56.45/56.62 (step @p800 :rule chain_m_resolution :premises (@p799 @p427) :args (@t522 @t244 (@list @t520))) % 56.45/56.62 (step @p801 :rule cnf_or_pos :args (@t522)) % 56.45/56.62 (step @p802 :rule reordering :premises (@p801) :args ((or @t274 @t266 @t372 @t282 @t371 @t370 @t471 @t521 (not @t522)))) % 56.45/56.62 (step @p803 :rule chain_m_resolution :premises (@p802 @p221 @p230 @p388 @p233 @p391 @p394 @p718 @p800) :args (@t521 (@list false true false false false false false false) (@list @t264 @t266 @t357 @t277 @t356 @t355 @t470 @t522))) % 56.45/56.62 (step @p804 :rule cnf_or_neg :args (@t472 2)) % 56.45/56.62 (step @p805 :rule chain_m_resolution :premises (@p804 @p711) :args ((not @t469) @t234 @t474)) % 56.45/56.62 (step @p806 :rule cnf_equiv_pos2 :args (@t521)) % 56.45/56.62 (step @p807 :rule reordering :premises (@p806) :args ((or @t469 @t523 (not @t521)))) % 56.45/56.62 (step @p808 :rule chain_m_resolution :premises (@p807 @p805 @p803) :args (@t523 @t452 (@list @t469 @t521))) % 56.45/56.62 (step @p809 :rule cnf_equiv_pos2 :args (@t517)) % 56.45/56.62 (step @p810 :rule reordering :premises (@p809) :args ((or @t516 @t524 (not @t517)))) % 56.45/56.62 (step @p811 :rule chain_m_resolution :premises (@p810 @p808 @p782) :args (@t524 @t452 (@list @t516 @t517))) % 56.45/56.62 (assume-push @p861 @t239) % 56.45/56.62 (assume-push @p862 @t281) % 56.45/56.62 (assume-push @p863 @t483) % 56.45/56.62 (assume-push @p864 @t483) % 56.45/56.62 (assume-push @p865 @t239) % 56.45/56.62 (assume-push @p866 @t281) % 56.45/56.62 (step @p818 :rule true_intro :premises (@p863)) % 56.45/56.62 (step @p819 :rule refl :args (@t308)) % 56.45/56.62 (step @p820 :rule symm :premises (@p236)) % 56.45/56.62 (step @p821 :rule trans :premises (@p820 @p659)) % 56.45/56.62 (step @p822 :rule refl :args (@t218)) % 56.45/56.62 (step @p823 :rule cong :premises (@p822 @p821 @p819) :args (@t515)) % 56.45/56.62 (step @p824 :rule trans :premises (@p823 @p818)) % 56.45/56.62 (step @p825 :rule true_elim :premises (@p824)) % 56.45/56.62 (step-pop @p867 :rule scope :premises (@p825)) % 56.45/56.62 (step-pop @p868 :rule scope :premises (@p867)) % 56.45/56.62 (step-pop @p869 :rule scope :premises (@p868)) % 56.45/56.62 (step @p826 :rule process_scope :premises (@p869) :args (@t515)) % 56.45/56.62 (step @p830 :rule and_intro :premises (@p863 @p156 @p236)) % 56.45/56.62 (step @p831 :rule modus_ponens :premises (@p830 @p826)) % 56.45/56.62 (step-pop @p870 :rule scope :premises (@p831)) % 56.45/56.62 (step-pop @p871 :rule scope :premises (@p870)) % 56.45/56.62 (step-pop @p872 :rule scope :premises (@p871)) % 56.45/56.62 (step @p832 :rule process_scope :premises (@p872) :args (@t515)) % 56.45/56.62 (step @p836 :rule implies_elim :premises (@p832)) % 56.45/56.62 (step @p837 :rule cnf_and_neg :args (@t525)) % 56.45/56.62 (step @p838 :rule resolution :premises (@p837 @p836) :args (true @t525)) % 56.45/56.62 (step @p839 :rule reordering :premises (@p838) :args ((or (not @t239) (not @t281) @t515 (not @t483)))) % 56.45/56.62 (step @p840 false :rule chain_m_resolution :premises (@p839 @p811 @p736 @p236 @p156) :args (false @t284 (@list @t515 @t483 @t281 @t239))) % 56.45/56.62 ) % 56.45/56.62 % SZS output end Proof % 56.45/56.62 % cvc5 exiting %------------------------------------------------------------------------------