%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT311+1 : TPTP v9.2.1. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n006.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 08:30:15 AM UTC 2026 % Result : Theorem 0.85s 1.11s % Output : Proof 0.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT311+1 : TPTP v9.2.1. Released v3.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n006.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 06:22:19 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.85/1.11 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.85/1.11 % SZS status Theorem % 0.85/1.11 % SZS output start Proof % 0.85/1.11 ( % 0.85/1.11 (declare-sort $$unsorted 0) % 0.85/1.11 (declare-const tptp.r1_lattices (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.v2_binop_1 (-> $$unsorted $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.v1_binop_1 (-> $$unsorted $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.85/1.11 (declare-const tptp.m2_lattice4 (-> $$unsorted $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.k3_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.k3_filter_0 (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.k8_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.m1_filter_0 (-> $$unsorted $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.k7_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.v10_lattices (-> $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.m2_filter_2 (-> $$unsorted $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.k18_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.l3_lattices (-> $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.u1_lattices (-> $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.k2_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.v7_lattices (-> $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.l2_lattices (-> $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.u2_lattices (-> $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.k1_lattice2 (-> $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.v6_lattices (-> $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.m1_filter_2 (-> $$unsorted $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.v8_lattices (-> $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.v4_lattices (-> $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.v3_lattices (-> $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.r3_lattices (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.v9_lattices (-> $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.l1_lattices (-> $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.g3_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.v5_lattices (-> $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.a_2_0_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.k19_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.a_2_0_filter_0 (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.k2_filter_0 (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.k5_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.11 (define @t1 () (@var "C" $$unsorted)) % 0.85/1.11 (define @t2 () (@var "A" $$unsorted)) % 0.85/1.11 (define @t3 () (@var "B" $$unsorted)) % 0.85/1.11 (define @t4 () (tptp.k18_filter_2 @t2 @t3)) % 0.85/1.11 (define @t5 () (tptp.r1_tarski @t4 (tptp.k19_filter_2 @t2 @t1))) % 0.85/1.11 (define @t6 () (tptp.r2_hidden @t3 @t1)) % 0.85/1.11 (define @t7 () (=> @t6 @t5)) % 0.85/1.11 (define @t8 () (tptp.u1_struct_0 @t2)) % 0.85/1.11 (define @t9 () (tptp.k1_zfmisc_1 @t8)) % 0.85/1.11 (define @t10 () (tptp.m1_subset_1 @t1 @t9)) % 0.85/1.11 (define @t11 () (tptp.v1_xboole_0 @t1)) % 0.85/1.11 (define @t12 () (not @t11)) % 0.85/1.11 (define @t13 () (and @t12 @t10)) % 0.85/1.11 (define @t14 () (@list @t1)) % 0.85/1.11 (define @t15 () (forall @t14 (=> @t13 @t7))) % 0.85/1.11 (define @t16 () (tptp.m1_subset_1 @t3 @t8)) % 0.85/1.11 (define @t17 () (=> @t16 @t15)) % 0.85/1.11 (define @t18 () (@list @t3)) % 0.85/1.11 (define @t19 () (forall @t18 @t17)) % 0.85/1.11 (define @t20 () (tptp.l3_lattices @t2)) % 0.85/1.11 (define @t21 () (tptp.v10_lattices @t2)) % 0.85/1.11 (define @t22 () (tptp.v3_struct_0 @t2)) % 0.85/1.11 (define @t23 () (not @t22)) % 0.85/1.11 (define @t24 () (and @t23 @t21 @t20)) % 0.85/1.11 (define @t25 () (=> @t24 @t19)) % 0.85/1.11 (define @t26 () (@list @t2)) % 0.85/1.11 (define @t27 () (forall @t26 @t25)) % 0.85/1.11 (define @t28 () (not @t27)) % 0.85/1.11 (define @t29 () (tptp.u1_lattices @t2)) % 0.85/1.11 (define @t30 () (tptp.u2_lattices @t2)) % 0.85/1.11 (define @t31 () (tptp.v3_lattices @t2)) % 0.85/1.11 (define @t32 () (tptp.r2_hidden @t2 @t3)) % 0.85/1.11 (define @t33 () (@list @t2 @t3)) % 0.85/1.11 (define @t34 () (tptp.v1_funct_1 @t2)) % 0.85/1.11 (define @t35 () (tptp.v1_xboole_0 @t2)) % 0.85/1.11 (define @t36 () (tptp.v9_lattices @t2)) % 0.85/1.11 (define @t37 () (tptp.v8_lattices @t2)) % 0.85/1.11 (define @t38 () (tptp.v7_lattices @t2)) % 0.85/1.11 (define @t39 () (tptp.v6_lattices @t2)) % 0.85/1.11 (define @t40 () (tptp.v5_lattices @t2)) % 0.85/1.11 (define @t41 () (tptp.v4_lattices @t2)) % 0.85/1.11 (define @t42 () (and @t23 @t41 @t40 @t39 @t38 @t37 @t36)) % 0.85/1.11 (define @t43 () (and @t23 @t21)) % 0.85/1.11 (define @t44 () (tptp.k2_zfmisc_1 @t2 @t3)) % 0.85/1.11 (define @t45 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t44))) % 0.85/1.11 (define @t46 () (@list @t2 @t3 @t1)) % 0.85/1.11 (define @t47 () (tptp.v1_relat_1 @t2)) % 0.85/1.11 (define @t48 () (and @t47 @t34 (tptp.v2_funct_1 @t2))) % 0.85/1.11 (define @t49 () (and @t47 @t35 @t34)) % 0.85/1.11 (define @t50 () (tptp.k1_lattice2 @t2)) % 0.85/1.11 (define @t51 () (tptp.k2_filter_0 @t2 @t3)) % 0.85/1.11 (define @t52 () (tptp.k5_filter_2 @t2 @t3)) % 0.85/1.11 (define @t53 () (=> @t16 (= @t52 @t3))) % 0.85/1.11 (define @t54 () (forall @t18 @t53)) % 0.85/1.11 (define @t55 () (=> @t24 @t54)) % 0.85/1.11 (define @t56 () (forall @t26 @t55)) % 0.85/1.11 (define @t57 () (tptp.k7_filter_2 @t2 @t3)) % 0.85/1.11 (define @t58 () (tptp.m1_subset_1 @t3 @t9)) % 0.85/1.11 (define @t59 () (=> @t58 (= @t57 @t3))) % 0.85/1.11 (define @t60 () (forall @t18 @t59)) % 0.85/1.11 (define @t61 () (=> @t24 @t60)) % 0.85/1.11 (define @t62 () (forall @t26 @t61)) % 0.85/1.11 (define @t63 () (tptp.k8_filter_2 @t2 @t3)) % 0.85/1.11 (define @t64 () (tptp.u1_struct_0 @t50)) % 0.85/1.11 (define @t65 () (tptp.k1_zfmisc_1 @t64)) % 0.85/1.11 (define @t66 () (tptp.m1_subset_1 @t3 @t65)) % 0.85/1.11 (define @t67 () (tptp.g3_lattices @t2 @t3 @t1)) % 0.85/1.11 (define @t68 () (tptp.v3_lattices @t67)) % 0.85/1.11 (define @t69 () (tptp.k2_zfmisc_1 @t2 @t2)) % 0.85/1.11 (define @t70 () (tptp.m1_relset_1 @t1 @t69 @t2)) % 0.85/1.11 (define @t71 () (tptp.v1_funct_2 @t1 @t69 @t2)) % 0.85/1.11 (define @t72 () (tptp.v1_funct_1 @t1)) % 0.85/1.11 (define @t73 () (tptp.m1_relset_1 @t3 @t69 @t2)) % 0.85/1.11 (define @t74 () (tptp.v1_funct_2 @t3 @t69 @t2)) % 0.85/1.11 (define @t75 () (tptp.v1_funct_1 @t3)) % 0.85/1.11 (define @t76 () (and @t75 @t74 @t73 @t72 @t71 @t70)) % 0.85/1.11 (define @t77 () (and @t23 @t21 @t20 @t16)) % 0.85/1.11 (define @t78 () (tptp.k19_filter_2 @t2 @t3)) % 0.85/1.11 (define @t79 () (tptp.v1_xboole_0 @t3)) % 0.85/1.11 (define @t80 () (not @t79)) % 0.85/1.11 (define @t81 () (and @t23 @t21 @t20 @t80 @t58)) % 0.85/1.11 (define @t82 () (tptp.v3_lattices @t50)) % 0.85/1.11 (define @t83 () (and @t82 (tptp.l3_lattices @t50))) % 0.85/1.11 (define @t84 () (forall @t26 (=> @t20 @t83))) % 0.85/1.11 (define @t85 () (tptp.k2_filter_2 @t2 @t3)) % 0.85/1.11 (define @t86 () (tptp.k3_filter_0 @t2 @t3)) % 0.85/1.11 (define @t87 () (tptp.k3_filter_2 @t2 @t3)) % 0.85/1.11 (define @t88 () (tptp.m1_subset_1 @t52 @t64)) % 0.85/1.11 (define @t89 () (forall @t33 (=> @t77 @t88))) % 0.85/1.11 (define @t90 () (tptp.m1_subset_1 @t57 @t65)) % 0.85/1.11 (define @t91 () (and @t23 @t21 @t20 @t58)) % 0.85/1.11 (define @t92 () (forall @t33 (=> @t91 @t90))) % 0.85/1.11 (define @t93 () (tptp.l1_struct_0 @t2)) % 0.85/1.11 (define @t94 () (tptp.l1_lattices @t2)) % 0.85/1.11 (define @t95 () (tptp.l2_lattices @t2)) % 0.85/1.11 (define @t96 () (and @t80 @t58)) % 0.85/1.11 (define @t97 () (tptp.m1_filter_0 @t3 @t2)) % 0.85/1.11 (define @t98 () (tptp.m2_lattice4 @t3 @t2)) % 0.85/1.11 (define @t99 () (and @t80 @t98)) % 0.85/1.11 (define @t100 () (tptp.m1_filter_2 @t3 @t2)) % 0.85/1.11 (define @t101 () (tptp.m2_filter_2 @t3 @t2)) % 0.85/1.11 (define @t102 () (tptp.m2_relset_1 @t1 @t2 @t3)) % 0.85/1.11 (define @t103 () (tptp.k2_zfmisc_1 @t8 @t8)) % 0.85/1.11 (define @t104 () (tptp.v1_funct_2 @t29 @t103 @t8)) % 0.85/1.11 (define @t105 () (tptp.v1_funct_1 @t29)) % 0.85/1.11 (define @t106 () (tptp.v1_funct_2 @t30 @t103 @t8)) % 0.85/1.11 (define @t107 () (tptp.v1_funct_1 @t30)) % 0.85/1.11 (define @t108 () (tptp.m1_relset_1 @t1 @t2 @t3)) % 0.85/1.11 (define @t109 () (not (tptp.v3_struct_0 @t50))) % 0.85/1.11 (define @t110 () (and @t109 @t82)) % 0.85/1.11 (define @t111 () (and @t23 @t20)) % 0.85/1.11 (define @t112 () (forall @t26 (=> @t111 @t110))) % 0.85/1.11 (define @t113 () (and @t23 @t93)) % 0.85/1.11 (define @t114 () (tptp.k1_zfmisc_1 @t2)) % 0.85/1.11 (define @t115 () (tptp.v1_partfun1 @t30 @t103 @t8)) % 0.85/1.11 (define @t116 () (tptp.v1_relat_1 @t30)) % 0.85/1.11 (define @t117 () (not @t35)) % 0.85/1.11 (define @t118 () (tptp.v1_partfun1 @t29 @t103 @t8)) % 0.85/1.11 (define @t119 () (tptp.v1_relat_1 @t29)) % 0.85/1.11 (define @t120 () (and @t109 @t82 (tptp.v4_lattices @t50) (tptp.v5_lattices @t50) (tptp.v6_lattices @t50) (tptp.v7_lattices @t50) (tptp.v8_lattices @t50) (tptp.v9_lattices @t50) (tptp.v10_lattices @t50))) % 0.85/1.11 (define @t121 () (forall @t26 (=> @t24 @t120))) % 0.85/1.11 (define @t122 () (@var "D" $$unsorted)) % 0.85/1.11 (define @t123 () (= @t2 @t122)) % 0.85/1.11 (define @t124 () (tptp.u1_struct_0 @t3)) % 0.85/1.11 (define @t125 () (tptp.m1_subset_1 @t122 @t124)) % 0.85/1.11 (define @t126 () (@list @t122)) % 0.85/1.11 (define @t127 () (and (not (tptp.v3_struct_0 @t3)) (tptp.v10_lattices @t3) (tptp.l3_lattices @t3) (tptp.m1_subset_1 @t1 @t124))) % 0.85/1.11 (define @t128 () (@var "F" $$unsorted)) % 0.85/1.11 (define @t129 () (@var "E" $$unsorted)) % 0.85/1.11 (define @t130 () (tptp.m1_subset_1 @t3 @t114)) % 0.85/1.11 (define @t131 () (=> @t77 (= @t85 @t51))) % 0.85/1.11 (define @t132 () (forall @t33 @t131)) % 0.85/1.11 (define @t133 () (=> @t81 (= @t87 @t86))) % 0.85/1.11 (define @t134 () (forall @t33 @t133)) % 0.85/1.11 (define @t135 () (and @t23 @t39 @t37 @t36 @t20 @t16 (tptp.m1_subset_1 @t1 @t8))) % 0.85/1.11 (define @t136 () (tptp.m1_subset_1 @t2 @t3)) % 0.85/1.11 (define @t137 () (tptp.r1_tarski @t51 (tptp.k3_filter_0 @t2 @t1))) % 0.85/1.11 (define @t138 () (=> @t6 @t137)) % 0.85/1.11 (define @t139 () (forall @t14 (=> @t13 @t138))) % 0.85/1.11 (define @t140 () (=> @t16 @t139)) % 0.85/1.11 (define @t141 () (forall @t18 @t140)) % 0.85/1.11 (define @t142 () (=> @t24 @t141)) % 0.85/1.11 (define @t143 () (forall @t26 @t142)) % 0.85/1.11 (define @t144 () (= @t2 @t3)) % 0.85/1.11 (define @t145 () (tptp.k18_filter_2 @t50 @t52)) % 0.85/1.11 (define @t146 () (= @t4 (tptp.k2_filter_2 @t50 @t52))) % 0.85/1.11 (define @t147 () (and @t146 (= @t145 @t85))) % 0.85/1.11 (define @t148 () (=> @t16 @t147)) % 0.85/1.11 (define @t149 () (forall @t18 @t148)) % 0.85/1.11 (define @t150 () (=> @t24 @t149)) % 0.85/1.11 (define @t151 () (forall @t26 @t150)) % 0.85/1.11 (define @t152 () (tptp.k8_filter_2 @t2 @t1)) % 0.85/1.11 (define @t153 () (= (tptp.k3_filter_2 @t50 @t1) (tptp.k19_filter_2 @t2 @t152))) % 0.85/1.11 (define @t154 () (= (tptp.k3_filter_2 @t2 @t152) (tptp.k19_filter_2 @t50 @t1))) % 0.85/1.11 (define @t155 () (= @t87 (tptp.k19_filter_2 @t50 @t57))) % 0.85/1.11 (define @t156 () (tptp.k3_filter_2 @t50 @t57)) % 0.85/1.11 (define @t157 () (and (= @t156 @t78) @t155 @t154 @t153)) % 0.85/1.11 (define @t158 () (tptp.m1_subset_1 @t1 @t65)) % 0.85/1.11 (define @t159 () (and @t12 @t158)) % 0.85/1.11 (define @t160 () (=> @t159 @t157)) % 0.85/1.11 (define @t161 () (forall @t14 @t160)) % 0.85/1.11 (define @t162 () (=> @t96 @t161)) % 0.85/1.11 (define @t163 () (forall @t18 @t162)) % 0.85/1.11 (define @t164 () (=> @t24 @t163)) % 0.85/1.11 (define @t165 () (forall @t26 @t164)) % 0.85/1.11 (define @t166 () (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 @t1))) % 0.85/1.11 (define @t167 () (@var "BOUND_VARIABLE_8662" $$unsorted)) % 0.85/1.11 (define @t168 () (@var "BOUND_VARIABLE_8660" $$unsorted)) % 0.85/1.11 (define @t169 () (tptp.r1_tarski (tptp.k2_filter_0 @t2 @t168) (tptp.k3_filter_0 @t2 @t167))) % 0.85/1.11 (define @t170 () (not (tptp.r2_hidden @t168 @t167))) % 0.85/1.11 (define @t171 () (not (tptp.m1_subset_1 @t167 @t9))) % 0.85/1.11 (define @t172 () (tptp.v1_xboole_0 @t167)) % 0.85/1.11 (define @t173 () (not (tptp.m1_subset_1 @t168 @t8))) % 0.85/1.11 (define @t174 () (not @t20)) % 0.85/1.11 (define @t175 () (not @t21)) % 0.85/1.11 (define @t176 () (or @t173 @t172 @t171 @t170 @t169)) % 0.85/1.11 (define @t177 () (or @t22 @t175 @t174 @t176)) % 0.85/1.11 (define @t178 () (forall (@list @t2 @t168 @t167) @t177)) % 0.85/1.11 (define @t179 () (@list @t168 @t167)) % 0.85/1.11 (define @t180 () (forall @t179 @t177)) % 0.85/1.11 (define @t181 () (forall @t179 @t176)) % 0.85/1.11 (define @t182 () (@var "BOUND_VARIABLE_8641" $$unsorted)) % 0.85/1.11 (define @t183 () (or @t22 @t175 @t174 @t181)) % 0.85/1.11 (define @t184 () (tptp.r1_tarski @t51 (tptp.k3_filter_0 @t2 @t182))) % 0.85/1.11 (define @t185 () (not (tptp.r2_hidden @t3 @t182))) % 0.85/1.11 (define @t186 () (not (tptp.m1_subset_1 @t182 @t9))) % 0.85/1.11 (define @t187 () (tptp.v1_xboole_0 @t182)) % 0.85/1.11 (define @t188 () (not @t16)) % 0.85/1.11 (define @t189 () (or @t188 @t187 @t186 @t185 @t184)) % 0.85/1.11 (define @t190 () (@list @t3 @t182)) % 0.85/1.11 (define @t191 () (forall @t190 @t189)) % 0.85/1.11 (define @t192 () (or @t22 @t175 @t174 @t191)) % 0.85/1.11 (define @t193 () (or @t22 @t175 @t174)) % 0.85/1.11 (define @t194 () (not @t23)) % 0.85/1.11 (define @t195 () (or @t194 @t175 @t174)) % 0.85/1.11 (define @t196 () (not @t24)) % 0.85/1.11 (define @t197 () (or @t187 @t186 @t185 @t184)) % 0.85/1.11 (define @t198 () (or @t188 @t197)) % 0.85/1.11 (define @t199 () (forall @t190 @t198)) % 0.85/1.11 (define @t200 () (@list @t182)) % 0.85/1.11 (define @t201 () (forall @t200 @t198)) % 0.85/1.11 (define @t202 () (forall @t200 @t197)) % 0.85/1.11 (define @t203 () (@list @t1)) % 0.85/1.11 (define @t204 () (or @t188 @t202)) % 0.85/1.11 (define @t205 () (not @t6)) % 0.85/1.11 (define @t206 () (not @t10)) % 0.85/1.11 (define @t207 () (or @t11 @t206 @t205 @t137)) % 0.85/1.11 (define @t208 () (forall @t14 @t207)) % 0.85/1.11 (define @t209 () (or @t11 @t206)) % 0.85/1.11 (define @t210 () (not @t12)) % 0.85/1.11 (define @t211 () (not @t13)) % 0.85/1.11 (define @t212 () (@var "BOUND_VARIABLE_7983" $$unsorted)) % 0.85/1.11 (define @t213 () (@var "BOUND_VARIABLE_7981" $$unsorted)) % 0.85/1.11 (define @t214 () (tptp.r1_tarski (tptp.k18_filter_2 @t2 @t213) (tptp.k19_filter_2 @t2 @t212))) % 0.85/1.11 (define @t215 () (not (tptp.r2_hidden @t213 @t212))) % 0.85/1.11 (define @t216 () (not (tptp.m1_subset_1 @t212 @t9))) % 0.85/1.11 (define @t217 () (tptp.v1_xboole_0 @t212)) % 0.85/1.11 (define @t218 () (not (tptp.m1_subset_1 @t213 @t8))) % 0.85/1.11 (define @t219 () (or @t22 @t175 @t174 @t218 @t217 @t216 @t215 @t214)) % 0.85/1.11 (define @t220 () (@list @t2 @t213 @t212)) % 0.85/1.11 (define @t221 () (forall @t220 @t219)) % 0.85/1.11 (define @t222 () (@quantifiers_skolemize @t221 2)) % 0.85/1.11 (define @t223 () (@quantifiers_skolemize @t221 1)) % 0.85/1.11 (define @t224 () (@quantifiers_skolemize @t221 0)) % 0.85/1.11 (define @t225 () (tptp.k1_lattice2 @t224)) % 0.85/1.11 (define @t226 () (or @t22 @t175 @t174 @t188)) % 0.85/1.11 (define @t227 () (or @t194 @t175 @t174 @t188)) % 0.85/1.11 (define @t228 () (not @t77)) % 0.85/1.11 (define @t229 () (@list @t224 @t223)) % 0.85/1.11 (define @t230 () (or @t218 @t217 @t216 @t215 @t214)) % 0.85/1.11 (define @t231 () (or @t22 @t175 @t174 @t230)) % 0.85/1.11 (define @t232 () (forall @t220 @t231)) % 0.85/1.11 (define @t233 () (@list @t213 @t212)) % 0.85/1.11 (define @t234 () (forall @t233 @t231)) % 0.85/1.11 (define @t235 () (forall @t233 @t230)) % 0.85/1.11 (define @t236 () (@var "BOUND_VARIABLE_7958" $$unsorted)) % 0.85/1.11 (define @t237 () (or @t22 @t175 @t174 @t235)) % 0.85/1.11 (define @t238 () (tptp.r1_tarski @t4 (tptp.k19_filter_2 @t2 @t236))) % 0.85/1.11 (define @t239 () (not (tptp.r2_hidden @t3 @t236))) % 0.85/1.11 (define @t240 () (not (tptp.m1_subset_1 @t236 @t9))) % 0.85/1.11 (define @t241 () (tptp.v1_xboole_0 @t236)) % 0.85/1.11 (define @t242 () (or @t188 @t241 @t240 @t239 @t238)) % 0.85/1.11 (define @t243 () (@list @t3 @t236)) % 0.85/1.11 (define @t244 () (forall @t243 @t242)) % 0.85/1.11 (define @t245 () (or @t22 @t175 @t174 @t244)) % 0.85/1.11 (define @t246 () (or @t241 @t240 @t239 @t238)) % 0.85/1.11 (define @t247 () (or @t188 @t246)) % 0.85/1.11 (define @t248 () (forall @t243 @t247)) % 0.85/1.11 (define @t249 () (@list @t236)) % 0.85/1.11 (define @t250 () (forall @t249 @t247)) % 0.85/1.11 (define @t251 () (forall @t249 @t246)) % 0.85/1.11 (define @t252 () (or @t188 @t251)) % 0.85/1.11 (define @t253 () (or @t11 @t206 @t205 @t5)) % 0.85/1.11 (define @t254 () (forall @t14 @t253)) % 0.85/1.11 (define @t255 () (tptp.u1_struct_0 @t224)) % 0.85/1.11 (define @t256 () (tptp.m1_subset_1 @t223 @t255)) % 0.85/1.11 (define @t257 () (tptp.k19_filter_2 @t224 @t222)) % 0.85/1.11 (define @t258 () (tptp.k18_filter_2 @t224 @t223)) % 0.85/1.11 (define @t259 () (tptp.r1_tarski @t258 @t257)) % 0.85/1.11 (define @t260 () (tptp.r2_hidden @t223 @t222)) % 0.85/1.11 (define @t261 () (not @t260)) % 0.85/1.11 (define @t262 () (tptp.m1_subset_1 @t222 (tptp.k1_zfmisc_1 @t255))) % 0.85/1.11 (define @t263 () (not @t262)) % 0.85/1.11 (define @t264 () (tptp.v1_xboole_0 @t222)) % 0.85/1.11 (define @t265 () (not @t256)) % 0.85/1.11 (define @t266 () (tptp.l3_lattices @t224)) % 0.85/1.11 (define @t267 () (not @t266)) % 0.85/1.11 (define @t268 () (tptp.v10_lattices @t224)) % 0.85/1.11 (define @t269 () (not @t268)) % 0.85/1.11 (define @t270 () (tptp.v3_struct_0 @t224)) % 0.85/1.11 (define @t271 () (or @t270 @t269 @t267 @t265 @t264 @t263 @t261 @t259)) % 0.85/1.11 (define @t272 () (@list true)) % 0.85/1.11 (define @t273 () (@list @t271)) % 0.85/1.11 (define @t274 () (tptp.u1_struct_0 @t225)) % 0.85/1.11 (define @t275 () (tptp.k5_filter_2 @t224 @t223)) % 0.85/1.11 (define @t276 () (tptp.m1_subset_1 @t275 @t274)) % 0.85/1.11 (define @t277 () (or @t270 @t269 @t267 @t265 @t276)) % 0.85/1.11 (define @t278 () (@list true false false false false)) % 0.85/1.11 (define @t279 () (@var "BOUND_VARIABLE_8076" $$unsorted)) % 0.85/1.11 (define @t280 () (= @t279 (tptp.k5_filter_2 @t2 @t279))) % 0.85/1.11 (define @t281 () (not (tptp.m1_subset_1 @t279 @t8))) % 0.85/1.11 (define @t282 () (or @t281 @t280)) % 0.85/1.11 (define @t283 () (or @t22 @t175 @t174 @t282)) % 0.85/1.11 (define @t284 () (forall (@list @t2 @t279) @t283)) % 0.85/1.11 (define @t285 () (@list @t279)) % 0.85/1.11 (define @t286 () (forall @t285 @t283)) % 0.85/1.11 (define @t287 () (forall @t285 @t282)) % 0.85/1.11 (define @t288 () (@list @t3)) % 0.85/1.11 (define @t289 () (or @t22 @t175 @t174 @t287)) % 0.85/1.11 (define @t290 () (= @t3 @t52)) % 0.85/1.11 (define @t291 () (forall @t18 (or @t188 @t290))) % 0.85/1.11 (define @t292 () (or @t22 @t175 @t174 @t291)) % 0.85/1.11 (define @t293 () (= @t223 @t275)) % 0.85/1.11 (define @t294 () (or @t270 @t269 @t267 @t265 @t293)) % 0.85/1.11 (define @t295 () (tptp.m1_subset_1 @t223 @t274)) % 0.85/1.11 (define @t296 () (@list @t224)) % 0.85/1.11 (define @t297 () (tptp.l3_lattices @t225)) % 0.85/1.11 (define @t298 () (tptp.v3_lattices @t225)) % 0.85/1.11 (define @t299 () (and @t298 @t297)) % 0.85/1.11 (define @t300 () (or @t267 @t299)) % 0.85/1.11 (define @t301 () (@list false)) % 0.85/1.11 (define @t302 () (tptp.v10_lattices @t225)) % 0.85/1.11 (define @t303 () (tptp.v3_struct_0 @t225)) % 0.85/1.11 (define @t304 () (not @t303)) % 0.85/1.11 (define @t305 () (and @t304 @t298 (tptp.v4_lattices @t225) (tptp.v5_lattices @t225) (tptp.v6_lattices @t225) (tptp.v7_lattices @t225) (tptp.v8_lattices @t225) (tptp.v9_lattices @t225) @t302)) % 0.85/1.11 (define @t306 () (or @t270 @t269 @t267 @t305)) % 0.85/1.11 (define @t307 () (not @t58)) % 0.85/1.11 (define @t308 () (or @t194 @t175 @t174 @t307)) % 0.85/1.11 (define @t309 () (@list @t224 @t222)) % 0.85/1.11 (define @t310 () (tptp.k1_zfmisc_1 @t274)) % 0.85/1.11 (define @t311 () (tptp.k7_filter_2 @t224 @t222)) % 0.85/1.11 (define @t312 () (tptp.m1_subset_1 @t311 @t310)) % 0.85/1.11 (define @t313 () (or @t270 @t269 @t267 @t263 @t312)) % 0.85/1.11 (define @t314 () (@var "BOUND_VARIABLE_8099" $$unsorted)) % 0.85/1.11 (define @t315 () (= @t314 (tptp.k7_filter_2 @t2 @t314))) % 0.85/1.11 (define @t316 () (not (tptp.m1_subset_1 @t314 @t9))) % 0.85/1.11 (define @t317 () (or @t316 @t315)) % 0.85/1.11 (define @t318 () (or @t22 @t175 @t174 @t317)) % 0.85/1.11 (define @t319 () (forall (@list @t2 @t314) @t318)) % 0.85/1.11 (define @t320 () (@list @t314)) % 0.85/1.11 (define @t321 () (forall @t320 @t318)) % 0.85/1.11 (define @t322 () (forall @t320 @t317)) % 0.85/1.11 (define @t323 () (or @t22 @t175 @t174 @t322)) % 0.85/1.11 (define @t324 () (= @t3 @t57)) % 0.85/1.11 (define @t325 () (forall @t18 (or @t307 @t324))) % 0.85/1.11 (define @t326 () (or @t22 @t175 @t174 @t325)) % 0.85/1.11 (define @t327 () (= @t222 @t311)) % 0.85/1.11 (define @t328 () (or @t270 @t269 @t267 @t263 @t327)) % 0.85/1.11 (define @t329 () (tptp.m1_subset_1 @t222 @t310)) % 0.85/1.11 (define @t330 () (and @t304 @t298)) % 0.85/1.11 (define @t331 () (or @t270 @t267 @t330)) % 0.85/1.11 (define @t332 () (tptp.k3_filter_0 @t225 @t222)) % 0.85/1.11 (define @t333 () (tptp.r1_tarski (tptp.k2_filter_0 @t225 @t223) @t332)) % 0.85/1.11 (define @t334 () (not @t329)) % 0.85/1.11 (define @t335 () (not @t295)) % 0.85/1.11 (define @t336 () (not @t297)) % 0.85/1.11 (define @t337 () (not @t302)) % 0.85/1.11 (define @t338 () (or @t303 @t337 @t336 @t335 @t264 @t334 @t261 @t333)) % 0.85/1.11 (define @t339 () (= @t86 @t87)) % 0.85/1.11 (define @t340 () (or @t22 @t175 @t174 @t79 @t307 @t339)) % 0.85/1.11 (define @t341 () (not @t80)) % 0.85/1.11 (define @t342 () (or @t194 @t175 @t174 @t341 @t307)) % 0.85/1.11 (define @t343 () (or @t341 @t307)) % 0.85/1.11 (define @t344 () (not @t96)) % 0.85/1.11 (define @t345 () (tptp.k3_filter_2 @t225 @t222)) % 0.85/1.11 (define @t346 () (or @t303 @t337 @t336 @t264 @t334 (= @t332 @t345))) % 0.85/1.11 (define @t347 () (forall @t33 @t340)) % 0.85/1.11 (define @t348 () (= @t345 @t332)) % 0.85/1.11 (define @t349 () (or @t303 @t337 @t336 @t264 @t334 @t348)) % 0.85/1.11 (define @t350 () (tptp.k3_filter_2 @t225 @t311)) % 0.85/1.11 (define @t351 () (@var "BOUND_VARIABLE_8758" $$unsorted)) % 0.85/1.11 (define @t352 () (tptp.k8_filter_2 @t2 @t351)) % 0.85/1.11 (define @t353 () (@var "BOUND_VARIABLE_8756" $$unsorted)) % 0.85/1.11 (define @t354 () (tptp.k7_filter_2 @t2 @t353)) % 0.85/1.11 (define @t355 () (and (= (tptp.k19_filter_2 @t2 @t353) (tptp.k3_filter_2 @t50 @t354)) (= (tptp.k3_filter_2 @t2 @t353) (tptp.k19_filter_2 @t50 @t354)) (= (tptp.k3_filter_2 @t2 @t352) (tptp.k19_filter_2 @t50 @t351)) (= (tptp.k3_filter_2 @t50 @t351) (tptp.k19_filter_2 @t2 @t352)))) % 0.85/1.11 (define @t356 () (not (tptp.m1_subset_1 @t351 @t65))) % 0.85/1.11 (define @t357 () (tptp.v1_xboole_0 @t351)) % 0.85/1.11 (define @t358 () (not (tptp.m1_subset_1 @t353 @t9))) % 0.85/1.11 (define @t359 () (tptp.v1_xboole_0 @t353)) % 0.85/1.11 (define @t360 () (or @t359 @t358 @t357 @t356 @t355)) % 0.85/1.11 (define @t361 () (or @t22 @t175 @t174 @t360)) % 0.85/1.11 (define @t362 () (forall (@list @t2 @t353 @t351) @t361)) % 0.85/1.11 (define @t363 () (@list @t353 @t351)) % 0.85/1.11 (define @t364 () (forall @t363 @t361)) % 0.85/1.11 (define @t365 () (forall @t363 @t360)) % 0.85/1.11 (define @t366 () (@var "BOUND_VARIABLE_8733" $$unsorted)) % 0.85/1.11 (define @t367 () (or @t22 @t175 @t174 @t365)) % 0.85/1.11 (define @t368 () (tptp.k8_filter_2 @t2 @t366)) % 0.85/1.11 (define @t369 () (= @t78 @t156)) % 0.85/1.11 (define @t370 () (and @t369 @t155 (= (tptp.k3_filter_2 @t2 @t368) (tptp.k19_filter_2 @t50 @t366)) (= (tptp.k3_filter_2 @t50 @t366) (tptp.k19_filter_2 @t2 @t368)))) % 0.85/1.11 (define @t371 () (not (tptp.m1_subset_1 @t366 @t65))) % 0.85/1.11 (define @t372 () (tptp.v1_xboole_0 @t366)) % 0.85/1.11 (define @t373 () (or @t79 @t307 @t372 @t371 @t370)) % 0.85/1.11 (define @t374 () (@list @t3 @t366)) % 0.85/1.11 (define @t375 () (forall @t374 @t373)) % 0.85/1.11 (define @t376 () (or @t22 @t175 @t174 @t375)) % 0.85/1.11 (define @t377 () (or @t372 @t371 @t370)) % 0.85/1.11 (define @t378 () (or @t79 @t307 @t377)) % 0.85/1.11 (define @t379 () (forall @t374 @t378)) % 0.85/1.11 (define @t380 () (@list @t366)) % 0.85/1.11 (define @t381 () (forall @t380 @t378)) % 0.85/1.11 (define @t382 () (forall @t380 @t377)) % 0.85/1.11 (define @t383 () (or @t79 @t307 @t382)) % 0.85/1.11 (define @t384 () (and @t369 @t155 @t154 @t153)) % 0.85/1.11 (define @t385 () (not @t158)) % 0.85/1.11 (define @t386 () (or @t11 @t385 @t384)) % 0.85/1.11 (define @t387 () (forall @t14 @t386)) % 0.85/1.11 (define @t388 () (or @t79 @t307 @t387)) % 0.85/1.11 (define @t389 () (tptp.k8_filter_2 @t224 @t222)) % 0.85/1.11 (define @t390 () (= @t257 @t350)) % 0.85/1.11 (define @t391 () (and @t390 (= (tptp.k3_filter_2 @t224 @t222) (tptp.k19_filter_2 @t225 @t311)) (= (tptp.k3_filter_2 @t224 @t389) (tptp.k19_filter_2 @t225 @t222)) (= @t345 (tptp.k19_filter_2 @t224 @t389)))) % 0.85/1.11 (define @t392 () (or @t270 @t269 @t267 @t264 @t263 @t264 @t334 @t391)) % 0.85/1.11 (define @t393 () (tptp.k2_filter_0 @t225 @t275)) % 0.85/1.11 (define @t394 () (= @t51 @t85)) % 0.85/1.11 (define @t395 () (or @t22 @t175 @t174 @t188 @t394)) % 0.85/1.11 (define @t396 () (tptp.k2_filter_2 @t225 @t275)) % 0.85/1.11 (define @t397 () (not @t276)) % 0.85/1.11 (define @t398 () (or @t303 @t337 @t336 @t397 (= @t393 @t396))) % 0.85/1.11 (define @t399 () (forall @t33 @t395)) % 0.85/1.11 (define @t400 () (= @t396 @t393)) % 0.85/1.11 (define @t401 () (or @t303 @t337 @t336 @t397 @t400)) % 0.85/1.11 (define @t402 () (@var "BOUND_VARIABLE_8699" $$unsorted)) % 0.85/1.11 (define @t403 () (tptp.k5_filter_2 @t2 @t402)) % 0.85/1.11 (define @t404 () (and (= (tptp.k18_filter_2 @t2 @t402) (tptp.k2_filter_2 @t50 @t403)) (= (tptp.k2_filter_2 @t2 @t402) (tptp.k18_filter_2 @t50 @t403)))) % 0.85/1.11 (define @t405 () (not (tptp.m1_subset_1 @t402 @t8))) % 0.85/1.11 (define @t406 () (or @t405 @t404)) % 0.85/1.11 (define @t407 () (or @t22 @t175 @t174 @t406)) % 0.85/1.11 (define @t408 () (forall (@list @t2 @t402) @t407)) % 0.85/1.11 (define @t409 () (@list @t402)) % 0.85/1.11 (define @t410 () (forall @t409 @t407)) % 0.85/1.11 (define @t411 () (forall @t409 @t406)) % 0.85/1.11 (define @t412 () (or @t22 @t175 @t174 @t411)) % 0.85/1.11 (define @t413 () (and @t146 (= @t85 @t145))) % 0.85/1.11 (define @t414 () (forall @t18 (or @t188 @t413))) % 0.85/1.11 (define @t415 () (or @t22 @t175 @t174 @t414)) % 0.85/1.11 (define @t416 () (= @t258 @t396)) % 0.85/1.11 (define @t417 () (and @t416 (= (tptp.k2_filter_2 @t224 @t223) (tptp.k18_filter_2 @t225 @t275)))) % 0.85/1.11 (define @t418 () (or @t270 @t269 @t267 @t265 @t417)) % 0.85/1.11 (assume @p1 @t28) % 0.85/1.11 (assume @p2 (forall @t26 (=> @t20 (=> @t31 (= @t2 (tptp.g3_lattices @t8 @t30 @t29)))))) % 0.85/1.11 (assume @p3 (forall @t33 (=> @t32 (not (tptp.r2_hidden @t3 @t2))))) % 0.85/1.11 (assume @p4 (forall @t26 (=> @t35 @t34))) % 0.85/1.11 (assume @p5 (forall @t26 (=> @t20 (=> @t43 @t42)))) % 0.85/1.11 (assume @p6 (forall @t46 (=> @t45 (tptp.v1_relat_1 @t1)))) % 0.85/1.11 (assume @p7 (forall @t26 (=> @t49 @t48))) % 0.85/1.11 (assume @p8 (forall @t26 (=> @t20 (=> @t42 @t43)))) % 0.85/1.11 (assume @p9 (forall @t26 (=> @t20 (= @t50 (tptp.g3_lattices @t8 @t29 @t30))))) % 0.85/1.11 (assume @p10 (forall @t26 (=> @t24 (forall @t18 (=> @t16 (= @t51 (tptp.a_2_0_filter_0 @t2 @t3))))))) % 0.85/1.11 (assume @p11 @t56) % 0.85/1.11 (assume @p12 @t62) % 0.85/1.11 (assume @p13 (forall @t26 (=> @t24 (forall @t18 (=> @t66 (= @t63 @t3)))))) % 0.85/1.11 (assume @p14 (forall @t26 (=> @t24 (forall @t18 (=> @t16 (= @t4 (tptp.a_2_0_filter_2 @t2 @t3))))))) % 0.85/1.11 (assume @p15 (forall @t46 (=> @t76 (and @t68 (tptp.l3_lattices @t67))))) % 0.85/1.11 (assume @p16 (forall @t33 (=> @t77 (tptp.m2_filter_2 @t4 @t2)))) % 0.85/1.11 (assume @p17 (forall @t33 (=> @t81 (tptp.m2_filter_2 @t78 @t2)))) % 0.85/1.11 (assume @p18 @t84) % 0.85/1.11 (assume @p19 true) % 0.85/1.11 (assume @p20 (forall @t33 (=> @t77 (tptp.m1_filter_0 @t51 @t2)))) % 0.85/1.11 (assume @p21 (forall @t33 (=> @t77 (tptp.m1_filter_2 @t85 @t2)))) % 0.85/1.11 (assume @p22 (forall @t33 (=> @t81 (tptp.m1_filter_0 @t86 @t2)))) % 0.85/1.11 (assume @p23 (forall @t33 (=> @t81 (tptp.m1_filter_2 @t87 @t2)))) % 0.85/1.11 (assume @p24 @t89) % 0.85/1.11 (assume @p25 @t92) % 0.85/1.11 (assume @p26 (forall @t33 (=> (and @t23 @t21 @t20 @t66) (tptp.m1_subset_1 @t63 @t9)))) % 0.85/1.11 (assume @p27 (forall @t26 (=> @t94 @t93))) % 0.85/1.11 (assume @p28 (forall @t26 (=> @t95 @t93))) % 0.85/1.11 (assume @p29 (forall @t26 (=> @t20 (and @t94 @t95)))) % 0.85/1.11 (assume @p30 (forall @t26 (=> @t24 (forall @t18 (=> @t97 @t96))))) % 0.85/1.11 (assume @p31 (forall @t26 (=> @t24 (forall @t18 (=> @t100 @t99))))) % 0.85/1.11 (assume @p32 (forall @t26 (=> @t24 (forall @t18 (=> @t101 @t99))))) % 0.85/1.11 (assume @p33 (forall @t26 (=> @t24 (forall @t18 (=> @t98 @t58))))) % 0.85/1.11 (assume @p34 (forall @t46 (=> @t102 @t45))) % 0.85/1.11 (assume @p35 (forall @t26 (=> @t94 (and @t105 @t104 (tptp.m2_relset_1 @t29 @t103 @t8))))) % 0.85/1.11 (assume @p36 (forall @t26 (=> @t95 (and @t107 @t106 (tptp.m2_relset_1 @t30 @t103 @t8))))) % 0.85/1.11 (assume @p37 (exists @t26 @t94)) % 0.85/1.11 (assume @p38 (exists @t26 @t93)) % 0.85/1.11 (assume @p39 (exists @t26 @t95)) % 0.85/1.11 (assume @p40 (exists @t26 @t20)) % 0.85/1.11 (assume @p41 (forall @t26 (=> @t24 (exists @t18 @t97)))) % 0.85/1.11 (assume @p42 (forall @t26 (=> @t24 (exists @t18 @t100)))) % 0.85/1.11 (assume @p43 (forall @t33 (exists @t14 @t108))) % 0.85/1.11 (assume @p44 (forall @t26 (exists @t18 (tptp.m1_subset_1 @t3 @t2)))) % 0.85/1.11 (assume @p45 (forall @t26 (=> @t24 (exists @t18 @t101)))) % 0.85/1.11 (assume @p46 (forall @t26 (=> @t24 (exists @t18 @t98)))) % 0.85/1.11 (assume @p47 (forall @t33 (exists @t14 @t102))) % 0.85/1.11 (assume @p48 (forall @t33 (=> @t81 (not (tptp.v1_xboole_0 @t57))))) % 0.85/1.11 (assume @p49 @t112) % 0.85/1.11 (assume @p50 (forall @t26 (=> @t113 (not (tptp.v1_xboole_0 @t8))))) % 0.85/1.11 (assume @p51 (forall @t26 (not (tptp.v1_xboole_0 @t114)))) % 0.85/1.11 (assume @p52 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 0.85/1.11 (assume @p53 (forall @t33 (=> (and @t23 @t21 @t20 @t80 @t66) (not (tptp.v1_xboole_0 @t63))))) % 0.85/1.11 (assume @p54 (forall @t26 (=> (and @t23 @t41 @t95) (and @t116 @t107 @t106 (tptp.v1_binop_1 @t30 @t8) @t115)))) % 0.85/1.11 (assume @p55 (forall @t26 (=> (and @t23 @t40 @t95) (and @t116 @t107 @t106 (tptp.v2_binop_1 @t30 @t8) @t115)))) % 0.85/1.11 (assume @p56 (forall @t46 (=> (and @t117 @t75 @t74 @t73 @t72 @t71 @t70) (and (not (tptp.v3_struct_0 @t67)) @t68)))) % 0.85/1.11 (assume @p57 (forall @t26 (=> (and @t23 @t39 @t94) (and @t119 @t105 @t104 (tptp.v1_binop_1 @t29 @t8) @t118)))) % 0.85/1.11 (assume @p58 (forall @t33 (=> (and @t117 @t80) (not (tptp.v1_xboole_0 @t44))))) % 0.85/1.11 (assume @p59 (forall @t26 (=> (and @t23 @t38 @t94) (and @t119 @t105 @t104 (tptp.v2_binop_1 @t29 @t8) @t118)))) % 0.85/1.11 (assume @p60 @t121) % 0.85/1.11 (assume @p61 (forall @t46 (=> @t127 (= (tptp.r2_hidden @t2 (tptp.a_2_0_filter_0 @t3 @t1)) (exists @t126 (and @t125 @t123 (tptp.r3_lattices @t3 @t1 @t122))))))) % 0.85/1.11 (assume @p62 (forall @t46 (=> @t127 (= (tptp.r2_hidden @t2 (tptp.a_2_0_filter_2 @t3 @t1)) (exists @t126 (and @t125 @t123 (tptp.r3_lattices @t3 @t122 @t1))))))) % 0.85/1.11 (assume @p63 (forall @t46 (=> @t76 (forall (@list @t122 @t129 @t128) (=> (= @t67 (tptp.g3_lattices @t122 @t129 @t128)) (and @t123 (= @t3 @t129) (= @t1 @t128))))))) % 0.85/1.11 (assume @p64 (exists @t26 (and @t47 @t34))) % 0.85/1.11 (assume @p65 (forall @t26 (=> @t24 (exists @t18 (and @t98 @t80))))) % 0.85/1.11 (assume @p66 (forall @t26 (=> @t117 (exists @t18 (and @t130 @t80))))) % 0.85/1.11 (assume @p67 (exists @t26 @t35)) % 0.85/1.11 (assume @p68 (exists @t26 @t49)) % 0.85/1.11 (assume @p69 (forall @t26 (exists @t18 (and @t130 @t79)))) % 0.85/1.11 (assume @p70 (exists @t26 @t117)) % 0.85/1.11 (assume @p71 (exists @t26 @t48)) % 0.85/1.11 (assume @p72 (exists @t26 (and @t20 @t31))) % 0.85/1.11 (assume @p73 (exists @t26 (and @t93 @t23))) % 0.85/1.11 (assume @p74 (forall @t26 (=> @t113 (exists @t18 (and @t58 @t80))))) % 0.85/1.11 (assume @p75 (exists @t26 (and @t20 @t23 @t31))) % 0.85/1.11 (assume @p76 (exists @t26 (and @t20 @t23 @t31 @t41 @t40 @t39 @t38 @t37 @t36 @t21))) % 0.85/1.11 (assume @p77 @t132) % 0.85/1.11 (assume @p78 @t134) % 0.85/1.11 (assume @p79 (forall @t26 (=> @t24 (forall @t18 (= @t100 @t97))))) % 0.85/1.11 (assume @p80 (forall @t46 (= @t102 @t108))) % 0.85/1.11 (assume @p81 (forall @t46 (=> @t135 (= (tptp.r3_lattices @t2 @t3 @t1) (tptp.r1_lattices @t2 @t3 @t1))))) % 0.85/1.11 (assume @p82 (forall @t33 (tptp.r1_tarski @t2 @t2))) % 0.85/1.11 (assume @p83 (forall @t46 (=> @t135 (tptp.r3_lattices @t2 @t3 @t3)))) % 0.85/1.11 (assume @p84 (forall @t33 (=> @t32 @t136))) % 0.85/1.11 (assume @p85 @t143) % 0.85/1.11 (assume @p86 (forall @t33 (=> @t136 (or @t79 @t32)))) % 0.85/1.11 (assume @p87 (forall @t33 (=> (forall @t14 (= (tptp.r2_hidden @t1 @t2) (tptp.r2_hidden @t1 @t3))) @t144))) % 0.85/1.11 (assume @p88 @t151) % 0.85/1.11 (assume @p89 @t165) % 0.85/1.11 (assume @p90 (forall @t33 (= (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t3)) (tptp.r1_tarski @t2 @t3)))) % 0.85/1.11 (assume @p91 (forall @t46 (=> (and @t32 @t166) (tptp.m1_subset_1 @t2 @t1)))) % 0.85/1.11 (assume @p92 (forall @t46 (not (and @t32 @t166 @t11)))) % 0.85/1.11 (assume @p93 (forall @t26 (=> @t35 (= @t2 tptp.k1_xboole_0)))) % 0.85/1.11 (assume @p94 (forall @t33 (not (and @t32 @t79)))) % 0.85/1.11 (assume @p95 (forall @t33 (not (and @t35 (not @t144) @t79)))) % 0.85/1.11 (step @p96 :rule evaluate :args ((= false true))) % 0.85/1.11 (step @p97 :rule aci_norm :args ((= @t177 (or @t22 @t175 @t174 @t173 @t172 @t171 @t170 @t169)))) % 0.85/1.11 (step @p98 :rule cong :premises (@p97) :args (@t178)) % 0.85/1.11 (step @p99 :rule quant-merge-prenex :args ((= (forall @t26 @t180) @t178))) % 0.85/1.11 (step @p100 :rule alpha_equiv :args (@t181 (@list @t168 @t167) (@list @t3 @t182))) % 0.85/1.11 (step @p101 :rule refl :args (@t174)) % 0.85/1.11 (step @p102 :rule refl :args (@t175)) % 0.85/1.11 (step @p103 :rule refl :args (@t22)) % 0.85/1.11 (step @p104 :rule nary_cong :premises (@p103 @p102 @p101 @p100) :args (@t183)) % 0.85/1.11 (step @p105 :rule quant-miniscope-or :args ((= @t180 @t183))) % 0.85/1.11 (step @p106 :rule trans :premises (@p105 @p104)) % 0.85/1.11 (step @p107 :rule symm :premises (@p106)) % 0.85/1.11 (step @p108 :rule cong :premises (@p107) :args ((forall @t26 @t192))) % 0.85/1.11 (step @p109 :rule trans :premises (@p108 @p99)) % 0.85/1.11 (step @p110 :rule trans :premises (@p109 @p98)) % 0.85/1.11 (step @p111 :rule aci_norm :args ((= (or @t193 @t191) @t192))) % 0.85/1.11 (step @p112 :rule refl :args (@t191)) % 0.85/1.11 (step @p113 :rule bool-double-not-elim :args (@t22)) % 0.85/1.11 (step @p114 :rule nary_cong :premises (@p113 @p102 @p101) :args (@t195)) % 0.85/1.11 (step @p115 :rule aci_norm :args ((= (or @t194 (or @t175 @t174)) @t195))) % 0.85/1.11 (step @p116 :rule trans :premises (@p115 @p114)) % 0.85/1.11 (step @p117 :rule bool-and-de-morgan :args (@t21 @t20 true)) % 0.85/1.11 (step @p118 :rule refl :args (@t194)) % 0.85/1.11 (step @p119 :rule nary_cong :premises (@p118 @p117) :args ((or @t194 (not (and @t21 @t20))))) % 0.85/1.11 (step @p120 :rule bool-and-de-morgan :args (@t23 @t21 (and @t20))) % 0.85/1.11 (step @p121 :rule trans :premises (@p120 @p119)) % 0.85/1.11 (step @p122 :rule trans :premises (@p121 @p116)) % 0.85/1.11 (step @p123 :rule nary_cong :premises (@p122 @p112) :args ((or @t196 @t191))) % 0.85/1.11 (step @p124 :rule trans :premises (@p123 @p111)) % 0.85/1.11 (step @p125 :rule bool-impl-elim :args (@t24 @t191)) % 0.85/1.11 (step @p126 :rule trans :premises (@p125 @p124)) % 0.85/1.11 (step @p127 :rule cong :premises (@p126) :args ((forall @t26 (=> @t24 @t191)))) % 0.85/1.11 (step @p128 :rule trans :premises (@p127 @p110)) % 0.85/1.11 (step @p129 :rule aci_norm :args ((= @t198 @t189))) % 0.85/1.11 (step @p130 :rule cong :premises (@p129) :args (@t199)) % 0.85/1.11 (step @p131 :rule quant-merge-prenex :args ((= (forall @t18 @t201) @t199))) % 0.85/1.11 (step @p132 :rule alpha_equiv :args (@t202 (@list @t182) @t203)) % 0.85/1.11 (step @p133 :rule refl :args (@t188)) % 0.85/1.11 (step @p134 :rule nary_cong :premises (@p133 @p132) :args (@t204)) % 0.85/1.11 (step @p135 :rule quant-miniscope-or :args ((= @t201 @t204))) % 0.85/1.11 (step @p136 :rule trans :premises (@p135 @p134)) % 0.85/1.11 (step @p137 :rule symm :premises (@p136)) % 0.85/1.11 (step @p138 :rule cong :premises (@p137) :args ((forall @t18 (or @t188 @t208)))) % 0.85/1.11 (step @p139 :rule trans :premises (@p138 @p131)) % 0.85/1.11 (step @p140 :rule trans :premises (@p139 @p130)) % 0.85/1.11 (step @p141 :rule bool-impl-elim :args (@t16 @t208)) % 0.85/1.11 (step @p142 :rule cong :premises (@p141) :args ((forall @t18 (=> @t16 @t208)))) % 0.85/1.11 (step @p143 :rule trans :premises (@p142 @p140)) % 0.85/1.11 (step @p144 :rule aci_norm :args ((= (or @t209 (or @t205 @t137)) @t207))) % 0.85/1.11 (step @p145 :rule bool-impl-elim :args (@t6 @t137)) % 0.85/1.11 (step @p146 :rule refl :args (@t206)) % 0.85/1.11 (step @p147 :rule bool-double-not-elim :args (@t11)) % 0.85/1.11 (step @p148 :rule nary_cong :premises (@p147 @p146) :args ((or @t210 @t206))) % 0.85/1.11 (step @p149 :rule bool-and-de-morgan :args (@t12 @t10 true)) % 0.85/1.11 (step @p150 :rule trans :premises (@p149 @p148)) % 0.85/1.11 (step @p151 :rule nary_cong :premises (@p150 @p145) :args ((or @t211 @t138))) % 0.85/1.11 (step @p152 :rule trans :premises (@p151 @p144)) % 0.85/1.11 (step @p153 :rule bool-impl-elim :args (@t13 @t138)) % 0.85/1.11 (step @p154 :rule trans :premises (@p153 @p152)) % 0.85/1.11 (step @p155 :rule cong :premises (@p154) :args (@t139)) % 0.85/1.11 (step @p156 :rule refl :args (@t16)) % 0.85/1.11 (step @p157 :rule cong :premises (@p156 @p155) :args (@t140)) % 0.85/1.11 (step @p158 :rule cong :premises (@p157) :args (@t141)) % 0.85/1.11 (step @p159 :rule trans :premises (@p158 @p143)) % 0.85/1.11 (step @p160 :rule refl :args (@t24)) % 0.85/1.11 (step @p161 :rule cong :premises (@p160 @p159) :args (@t142)) % 0.85/1.11 (step @p162 :rule cong :premises (@p161) :args (@t143)) % 0.85/1.11 (step @p163 :rule trans :premises (@p162 @p128)) % 0.85/1.11 (step @p164 :rule eq_resolve :premises (@p85 @p163)) % 0.85/1.11 (step @p165 :rule instantiate :premises (@p164) :args ((@list @t225 @t223 @t222))) % 0.85/1.11 (step @p166 :rule aci_norm :args ((= (or @t226 @t88) (or @t22 @t175 @t174 @t188 @t88)))) % 0.85/1.11 (step @p167 :rule refl :args (@t88)) % 0.85/1.11 (step @p168 :rule nary_cong :premises (@p113 @p102 @p101 @p133) :args (@t227)) % 0.85/1.11 (step @p169 :rule aci_norm :args ((= (or @t194 (or @t175 (or @t174 @t188))) @t227))) % 0.85/1.11 (step @p170 :rule trans :premises (@p169 @p168)) % 0.85/1.11 (step @p171 :rule bool-and-de-morgan :args (@t20 @t16 true)) % 0.85/1.11 (step @p172 :rule nary_cong :premises (@p102 @p171) :args ((or @t175 (not (and @t20 @t16))))) % 0.85/1.11 (step @p173 :rule bool-and-de-morgan :args (@t21 @t20 (and @t16))) % 0.85/1.11 (step @p174 :rule trans :premises (@p173 @p172)) % 0.85/1.11 (step @p175 :rule nary_cong :premises (@p118 @p174) :args ((or @t194 (not (and @t21 @t20 @t16))))) % 0.85/1.11 (step @p176 :rule bool-and-de-morgan :args (@t23 @t21 (and @t20 @t16))) % 0.85/1.11 (step @p177 :rule trans :premises (@p176 @p175)) % 0.85/1.11 (step @p178 :rule trans :premises (@p177 @p170)) % 0.85/1.11 (step @p179 :rule nary_cong :premises (@p178 @p167) :args ((or @t228 @t88))) % 0.85/1.11 (step @p180 :rule trans :premises (@p179 @p166)) % 0.85/1.11 (step @p181 :rule bool-impl-elim :args (@t77 @t88)) % 0.85/1.11 (step @p182 :rule trans :premises (@p181 @p180)) % 0.85/1.11 (step @p183 :rule cong :premises (@p182) :args (@t89)) % 0.85/1.11 (step @p184 :rule eq_resolve :premises (@p24 @p183)) % 0.85/1.11 (step @p185 :rule instantiate :premises (@p184) :args (@t229)) % 0.85/1.11 (step @p186 :rule aci_norm :args ((= @t231 @t219))) % 0.85/1.11 (step @p187 :rule cong :premises (@p186) :args (@t232)) % 0.85/1.11 (step @p188 :rule quant-merge-prenex :args ((= (forall @t26 @t234) @t232))) % 0.85/1.11 (step @p189 :rule alpha_equiv :args (@t235 (@list @t213 @t212) (@list @t3 @t236))) % 0.85/1.11 (step @p190 :rule nary_cong :premises (@p103 @p102 @p101 @p189) :args (@t237)) % 0.85/1.11 (step @p191 :rule quant-miniscope-or :args ((= @t234 @t237))) % 0.85/1.11 (step @p192 :rule trans :premises (@p191 @p190)) % 0.85/1.11 (step @p193 :rule symm :premises (@p192)) % 0.85/1.11 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(step @p429 :rule bool-and-de-morgan :args (@t20 @t80 (and @t58))) % 0.85/1.11 (step @p430 :rule trans :premises (@p429 @p428)) % 0.85/1.11 (step @p431 :rule nary_cong :premises (@p102 @p430) :args ((or @t175 (not (and @t20 @t80 @t58))))) % 0.85/1.11 (step @p432 :rule bool-and-de-morgan :args (@t21 @t20 (and @t80 @t58))) % 0.85/1.11 (step @p433 :rule trans :premises (@p432 @p431)) % 0.85/1.11 (step @p434 :rule nary_cong :premises (@p118 @p433) :args ((or @t194 (not (and @t21 @t20 @t80 @t58))))) % 0.85/1.11 (step @p435 :rule bool-and-de-morgan :args (@t23 @t21 (and @t20 @t80 @t58))) % 0.85/1.11 (step @p436 :rule trans :premises (@p435 @p434)) % 0.85/1.11 (step @p437 :rule trans :premises (@p436 @p426)) % 0.85/1.11 (step @p438 :rule nary_cong :premises (@p437 @p422) :args ((or (not @t81) @t339))) % 0.85/1.11 (step @p439 :rule trans :premises (@p438 @p421)) % 0.85/1.11 (step @p440 :rule bool-impl-elim :args (@t81 @t339)) % 0.85/1.11 (step @p441 :rule trans :premises (@p440 @p439)) % 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:args (@t394)) % 0.85/1.11 (step @p553 :rule nary_cong :premises (@p178 @p552) :args ((or @t228 @t394))) % 0.85/1.11 (step @p554 :rule trans :premises (@p553 @p551)) % 0.85/1.11 (step @p555 :rule bool-impl-elim :args (@t77 @t394)) % 0.85/1.11 (step @p556 :rule trans :premises (@p555 @p554)) % 0.85/1.11 (step @p557 :rule cong :premises (@p556) :args ((forall @t33 (=> @t77 @t394)))) % 0.85/1.11 (step @p558 :rule eq-symm :args (@t85 @t51)) % 0.85/1.11 (step @p559 :rule refl :args (@t77)) % 0.85/1.11 (step @p560 :rule cong :premises (@p559 @p558) :args (@t131)) % 0.85/1.11 (step @p561 :rule cong :premises (@p560) :args (@t132)) % 0.85/1.11 (step @p562 :rule trans :premises (@p561 @p557)) % 0.85/1.11 (step @p563 :rule eq_resolve :premises (@p77 @p562)) % 0.85/1.11 (step @p564 :rule eq-symm :args (@t393 @t396)) % 0.85/1.11 (step @p565 :rule refl :args (@t397)) % 0.85/1.11 (step @p566 :rule nary_cong :premises (@p454 @p453 @p452 @p565 @p564) :args (@t398)) % 0.85/1.11 (step @p567 :rule refl :args (@t399)) % 0.85/1.11 (step @p568 :rule cong :premises (@p567 @p566) :args ((=> @t399 @t398))) % 0.85/1.11 (assume-push @p627 @t399) % 0.85/1.11 (step @p570 :rule instantiate :premises (@p563) :args ((@list @t225 @t275))) % 0.85/1.11 (step-pop @p628 :rule scope :premises (@p570)) % 0.85/1.11 (step @p571 :rule process_scope :premises (@p628) :args (@t398)) % 0.85/1.11 (step @p573 :rule eq_resolve :premises (@p571 @p568)) % 0.85/1.11 (step @p574 :rule implies_elim :premises (@p573)) % 0.85/1.11 (step @p575 :rule chain_m_resolution :premises (@p574 @p563) :args (@t401 @t301 (@list @t399))) % 0.85/1.11 (step @p576 :rule cnf_or_pos :args (@t401)) % 0.85/1.11 (step @p577 :rule reordering :premises (@p576) :args ((or @t303 @t337 @t336 @t397 @t400 (not @t401)))) % 0.85/1.11 (step @p578 :rule chain_m_resolution :premises (@p577 @p408 @p321 @p306 @p258 @p575) :args (@t400 @t278 (@list @t303 @t302 @t297 @t276 @t401))) % 0.85/1.11 (step @p579 :rule aci_norm :args ((= @t407 (or @t22 @t175 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(@p592 @p590)) % 0.85/1.11 (step @p594 :rule bool-impl-elim :args (@t24 @t414)) % 0.85/1.11 (step @p595 :rule trans :premises (@p594 @p593)) % 0.85/1.11 (step @p596 :rule cong :premises (@p595) :args ((forall @t26 (=> @t24 @t414)))) % 0.85/1.11 (step @p597 :rule trans :premises (@p596 @p589)) % 0.85/1.11 (step @p598 :rule bool-impl-elim :args (@t16 @t413)) % 0.85/1.11 (step @p599 :rule cong :premises (@p598) :args ((forall @t18 (=> @t16 @t413)))) % 0.85/1.11 (step @p600 :rule eq-symm :args (@t145 @t85)) % 0.85/1.11 (step @p601 :rule refl :args (@t146)) % 0.85/1.11 (step @p602 :rule nary_cong :premises (@p601 @p600) :args (@t147)) % 0.85/1.11 (step @p603 :rule cong :premises (@p156 @p602) :args (@t148)) % 0.85/1.11 (step @p604 :rule cong :premises (@p603) :args (@t149)) % 0.85/1.11 (step @p605 :rule trans :premises (@p604 @p599)) % 0.85/1.11 (step @p606 :rule cong :premises (@p160 @p605) :args (@t150)) % 0.85/1.11 (step @p607 :rule cong :premises (@p606) :args (@t151)) % 0.85/1.11 (step @p608 :rule trans :premises (@p607 @p597)) % 0.85/1.11 (step @p609 :rule eq_resolve :premises (@p88 @p608)) % 0.85/1.11 (step @p610 :rule instantiate :premises (@p609) :args (@t229)) % 0.85/1.11 (step @p611 :rule cnf_or_pos :args (@t418)) % 0.85/1.11 (step @p612 :rule reordering :premises (@p611) :args ((or @t270 @t269 @t267 @t265 @t417 (not @t418)))) % 0.85/1.11 (step @p613 :rule chain_m_resolution :premises (@p612 @p255 @p253 @p247 @p241 @p610) :args (@t417 @t278 (@list @t270 @t268 @t266 @t256 @t418))) % 0.85/1.11 (step @p614 :rule cnf_and_pos :args (@t417 0)) % 0.85/1.11 (step @p615 :rule reordering :premises (@p614) :args ((or @t416 (not @t417)))) % 0.85/1.11 (step @p616 :rule chain_m_resolution :premises (@p615 @p613) :args (@t416 @t301 (@list @t417))) % 0.85/1.11 (step @p617 :rule trans :premises (@p616 @p578 @p550)) % 0.85/1.11 (step @p618 :rule cong :premises (@p617 @p548) :args (@t259)) % 0.85/1.11 (step @p619 :rule cnf_or_neg :args (@t271 7)) % 0.85/1.11 (step @p620 :rule chain_m_resolution :premises (@p619 @p234) :args ((not @t259) @t272 @t273)) % 0.85/1.11 (step @p621 :rule false_intro :premises (@p620)) % 0.85/1.11 (step @p622 :rule symm :premises (@p621)) % 0.85/1.11 (step @p623 :rule trans :premises (@p622 @p618 @p420)) % 0.85/1.11 (step @p624 false :rule eq_resolve :premises (@p623 @p96)) % 0.85/1.11 ) % 0.85/1.11 % SZS output end Proof % 0.85/1.11 % cvc5 exiting %------------------------------------------------------------------------------