%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT312+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 : n012.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 1.41s 1.63s % Output : Proof 1.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : LAT312+1 : TPTP v9.2.1. Released v3.4.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 06:22:03 EDT 2026 % 0.07/0.25 % CPUTime : % 0.16/0.34 %----Proving TF0_NAR, FOF, or CNF % 1.41/1.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.41/1.63 % SZS status Theorem % 1.41/1.63 % SZS output start Proof % 1.41/1.63 ( % 1.41/1.63 (declare-sort $$unsorted 0) % 1.41/1.63 (declare-const tptp.v1_finset_1 (-> $$unsorted Bool)) % 1.41/1.63 (declare-const tptp.v1_binop_1 (-> $$unsorted $$unsorted Bool)) % 1.41/1.63 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.41/1.63 (declare-const tptp.k1_xboole_0 $$unsorted) % 1.41/1.63 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 1.41/1.63 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.41/1.63 (declare-const tptp.k3_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 1.41/1.63 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 1.41/1.63 (declare-const tptp.k3_filter_0 (-> $$unsorted $$unsorted $$unsorted)) % 1.41/1.63 (declare-const tptp.m1_filter_2 (-> $$unsorted $$unsorted Bool)) % 1.41/1.63 (declare-const tptp.k2_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 1.41/1.63 (declare-const tptp.m2_filter_2 (-> $$unsorted $$unsorted Bool)) % 1.41/1.63 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.41/1.63 (declare-const tptp.k8_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 1.41/1.63 (declare-const tptp.k5_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 1.41/1.63 (declare-const tptp.k2_filter_0 (-> $$unsorted $$unsorted $$unsorted)) % 1.41/1.63 (declare-const tptp.v2_binop_1 (-> $$unsorted $$unsorted Bool)) % 1.41/1.63 (declare-const tptp.r1_filter_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.41/1.63 (declare-const tptp.k7_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 1.41/1.63 (declare-const tptp.v9_lattices (-> $$unsorted Bool)) % 1.41/1.63 (declare-const tptp.l3_lattices (-> $$unsorted Bool)) % 1.41/1.63 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 1.41/1.63 (declare-const tptp.r3_lattices (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.41/1.63 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 1.41/1.63 (declare-const tptp.v4_lattices (-> $$unsorted Bool)) % 1.41/1.63 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 1.41/1.63 (declare-const tptp.u2_lattices (-> $$unsorted $$unsorted)) % 1.41/1.63 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 1.41/1.63 (declare-const tptp.v5_lattices (-> $$unsorted Bool)) % 1.41/1.63 (declare-const tptp.k6_domain_1 (-> $$unsorted $$unsorted $$unsorted)) % 1.41/1.63 (declare-const tptp.r1_lattices (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.41/1.63 (declare-const tptp.v7_lattices (-> $$unsorted Bool)) % 1.41/1.63 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 1.41/1.63 (declare-const tptp.u1_lattices (-> $$unsorted $$unsorted)) % 1.41/1.63 (declare-const tptp.k19_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 1.41/1.63 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.41/1.63 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 1.41/1.63 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 1.41/1.63 (declare-const tptp.v10_lattices (-> $$unsorted Bool)) % 1.41/1.63 (declare-const tptp.a_2_0_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 1.41/1.63 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 1.41/1.63 (declare-const tptp.k18_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 1.41/1.63 (declare-const tptp.g3_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.41/1.63 (declare-const tptp.k1_tarski (-> $$unsorted $$unsorted)) % 1.41/1.63 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 1.41/1.63 (declare-const tptp.v3_lattices (-> $$unsorted Bool)) % 1.41/1.63 (declare-const tptp.m1_filter_0 (-> $$unsorted $$unsorted Bool)) % 1.41/1.63 (declare-const tptp.v8_lattices (-> $$unsorted Bool)) % 1.41/1.63 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 1.41/1.63 (declare-const tptp.v1_realset1 (-> $$unsorted Bool)) % 1.41/1.63 (declare-const tptp.m2_lattice4 (-> $$unsorted $$unsorted Bool)) % 1.41/1.63 (declare-const tptp.v6_lattices (-> $$unsorted Bool)) % 1.41/1.63 (declare-const tptp.l1_lattices (-> $$unsorted Bool)) % 1.41/1.63 (declare-const tptp.k1_lattice2 (-> $$unsorted $$unsorted)) % 1.41/1.63 (declare-const tptp.l2_lattices (-> $$unsorted Bool)) % 1.41/1.63 (declare-const tptp.a_2_0_filter_0 (-> $$unsorted $$unsorted $$unsorted)) % 1.41/1.63 (define @t1 () (@var "B" $$unsorted)) % 1.41/1.63 (define @t2 () (@var "A" $$unsorted)) % 1.41/1.63 (define @t3 () (tptp.k18_filter_2 @t2 @t1)) % 1.41/1.63 (define @t4 () (@var "C" $$unsorted)) % 1.41/1.63 (define @t5 () (tptp.u1_struct_0 @t2)) % 1.41/1.63 (define @t6 () (tptp.r1_filter_2 @t5 (tptp.k19_filter_2 @t2 @t4) @t3)) % 1.41/1.63 (define @t7 () (tptp.k6_domain_1 @t5 @t1)) % 1.41/1.63 (define @t8 () (tptp.r1_filter_2 @t5 @t4 @t7)) % 1.41/1.63 (define @t9 () (=> @t8 @t6)) % 1.41/1.63 (define @t10 () (tptp.k1_zfmisc_1 @t5)) % 1.41/1.63 (define @t11 () (tptp.m1_subset_1 @t4 @t10)) % 1.41/1.63 (define @t12 () (tptp.v1_xboole_0 @t4)) % 1.41/1.63 (define @t13 () (not @t12)) % 1.41/1.63 (define @t14 () (and @t13 @t11)) % 1.41/1.63 (define @t15 () (@list @t4)) % 1.41/1.63 (define @t16 () (forall @t15 (=> @t14 @t9))) % 1.41/1.63 (define @t17 () (tptp.m1_subset_1 @t1 @t5)) % 1.41/1.63 (define @t18 () (=> @t17 @t16)) % 1.41/1.63 (define @t19 () (@list @t1)) % 1.41/1.63 (define @t20 () (forall @t19 @t18)) % 1.41/1.63 (define @t21 () (tptp.l3_lattices @t2)) % 1.41/1.63 (define @t22 () (tptp.v10_lattices @t2)) % 1.41/1.63 (define @t23 () (tptp.v3_struct_0 @t2)) % 1.41/1.63 (define @t24 () (not @t23)) % 1.41/1.63 (define @t25 () (and @t24 @t22 @t21)) % 1.41/1.63 (define @t26 () (=> @t25 @t20)) % 1.41/1.63 (define @t27 () (@list @t2)) % 1.41/1.63 (define @t28 () (forall @t27 @t26)) % 1.41/1.63 (define @t29 () (not @t28)) % 1.41/1.63 (define @t30 () (tptp.u1_lattices @t2)) % 1.41/1.63 (define @t31 () (tptp.u2_lattices @t2)) % 1.41/1.63 (define @t32 () (tptp.v3_lattices @t2)) % 1.41/1.63 (define @t33 () (tptp.r2_hidden @t2 @t1)) % 1.41/1.63 (define @t34 () (@list @t2 @t1)) % 1.41/1.63 (define @t35 () (tptp.v1_funct_1 @t2)) % 1.41/1.63 (define @t36 () (tptp.v1_xboole_0 @t2)) % 1.41/1.63 (define @t37 () (tptp.v9_lattices @t2)) % 1.41/1.63 (define @t38 () (tptp.v8_lattices @t2)) % 1.41/1.63 (define @t39 () (tptp.v7_lattices @t2)) % 1.41/1.63 (define @t40 () (tptp.v6_lattices @t2)) % 1.41/1.63 (define @t41 () (tptp.v5_lattices @t2)) % 1.41/1.63 (define @t42 () (tptp.v4_lattices @t2)) % 1.41/1.63 (define @t43 () (and @t24 @t42 @t41 @t40 @t39 @t38 @t37)) % 1.41/1.63 (define @t44 () (and @t24 @t22)) % 1.41/1.63 (define @t45 () (not @t36)) % 1.41/1.63 (define @t46 () (tptp.v1_realset1 @t2)) % 1.41/1.63 (define @t47 () (not @t46)) % 1.41/1.63 (define @t48 () (tptp.k2_zfmisc_1 @t2 @t1)) % 1.41/1.63 (define @t49 () (tptp.m1_subset_1 @t4 (tptp.k1_zfmisc_1 @t48))) % 1.41/1.63 (define @t50 () (@list @t2 @t1 @t4)) % 1.41/1.63 (define @t51 () (tptp.v1_relat_1 @t2)) % 1.41/1.63 (define @t52 () (and @t51 @t35 (tptp.v2_funct_1 @t2))) % 1.41/1.63 (define @t53 () (and @t51 @t36 @t35)) % 1.41/1.63 (define @t54 () (tptp.k1_lattice2 @t2)) % 1.41/1.63 (define @t55 () (tptp.k2_filter_0 @t2 @t1)) % 1.41/1.63 (define @t56 () (tptp.k5_filter_2 @t2 @t1)) % 1.41/1.63 (define @t57 () (=> @t17 (= @t56 @t1))) % 1.41/1.63 (define @t58 () (forall @t19 @t57)) % 1.41/1.63 (define @t59 () (=> @t25 @t58)) % 1.41/1.63 (define @t60 () (forall @t27 @t59)) % 1.41/1.63 (define @t61 () (tptp.k7_filter_2 @t2 @t1)) % 1.41/1.63 (define @t62 () (tptp.m1_subset_1 @t1 @t10)) % 1.41/1.63 (define @t63 () (=> @t62 (= @t61 @t1))) % 1.41/1.63 (define @t64 () (forall @t19 @t63)) % 1.41/1.63 (define @t65 () (=> @t25 @t64)) % 1.41/1.63 (define @t66 () (forall @t27 @t65)) % 1.41/1.63 (define @t67 () (tptp.k8_filter_2 @t2 @t1)) % 1.41/1.63 (define @t68 () (tptp.u1_struct_0 @t54)) % 1.41/1.63 (define @t69 () (tptp.k1_zfmisc_1 @t68)) % 1.41/1.63 (define @t70 () (tptp.m1_subset_1 @t1 @t69)) % 1.41/1.63 (define @t71 () (tptp.g3_lattices @t2 @t1 @t4)) % 1.41/1.63 (define @t72 () (tptp.v3_lattices @t71)) % 1.41/1.63 (define @t73 () (tptp.k2_zfmisc_1 @t2 @t2)) % 1.41/1.63 (define @t74 () (tptp.m1_relset_1 @t4 @t73 @t2)) % 1.41/1.63 (define @t75 () (tptp.v1_funct_2 @t4 @t73 @t2)) % 1.41/1.63 (define @t76 () (tptp.v1_funct_1 @t4)) % 1.41/1.63 (define @t77 () (tptp.m1_relset_1 @t1 @t73 @t2)) % 1.41/1.63 (define @t78 () (tptp.v1_funct_2 @t1 @t73 @t2)) % 1.41/1.63 (define @t79 () (tptp.v1_funct_1 @t1)) % 1.41/1.63 (define @t80 () (and @t79 @t78 @t77 @t76 @t75 @t74)) % 1.41/1.63 (define @t81 () (tptp.m2_filter_2 @t3 @t2)) % 1.41/1.63 (define @t82 () (and @t24 @t22 @t21 @t17)) % 1.41/1.63 (define @t83 () (forall @t34 (=> @t82 @t81))) % 1.41/1.63 (define @t84 () (tptp.k19_filter_2 @t2 @t1)) % 1.41/1.63 (define @t85 () (tptp.v1_xboole_0 @t1)) % 1.41/1.63 (define @t86 () (not @t85)) % 1.41/1.63 (define @t87 () (and @t24 @t22 @t21 @t86 @t62)) % 1.41/1.63 (define @t88 () (tptp.v3_lattices @t54)) % 1.41/1.63 (define @t89 () (and @t88 (tptp.l3_lattices @t54))) % 1.41/1.63 (define @t90 () (forall @t27 (=> @t21 @t89))) % 1.41/1.63 (define @t91 () (tptp.k2_filter_2 @t2 @t1)) % 1.41/1.63 (define @t92 () (tptp.k3_filter_0 @t2 @t1)) % 1.41/1.63 (define @t93 () (tptp.k3_filter_2 @t2 @t1)) % 1.41/1.63 (define @t94 () (tptp.m1_subset_1 @t56 @t68)) % 1.41/1.63 (define @t95 () (forall @t34 (=> @t82 @t94))) % 1.41/1.63 (define @t96 () (tptp.k1_zfmisc_1 @t2)) % 1.41/1.63 (define @t97 () (tptp.k6_domain_1 @t2 @t1)) % 1.41/1.63 (define @t98 () (tptp.m1_subset_1 @t97 @t96)) % 1.41/1.63 (define @t99 () (tptp.m1_subset_1 @t1 @t2)) % 1.41/1.63 (define @t100 () (and @t45 @t99)) % 1.41/1.63 (define @t101 () (forall @t34 (=> @t100 @t98))) % 1.41/1.63 (define @t102 () (tptp.m1_subset_1 @t61 @t69)) % 1.41/1.63 (define @t103 () (and @t24 @t22 @t21 @t62)) % 1.41/1.63 (define @t104 () (forall @t34 (=> @t103 @t102))) % 1.41/1.63 (define @t105 () (tptp.l1_struct_0 @t2)) % 1.41/1.63 (define @t106 () (tptp.l1_lattices @t2)) % 1.41/1.63 (define @t107 () (forall @t27 (=> @t106 @t105))) % 1.41/1.63 (define @t108 () (tptp.l2_lattices @t2)) % 1.41/1.63 (define @t109 () (and @t106 @t108)) % 1.41/1.63 (define @t110 () (forall @t27 (=> @t21 @t109))) % 1.41/1.63 (define @t111 () (and @t86 @t62)) % 1.41/1.63 (define @t112 () (tptp.m1_filter_0 @t1 @t2)) % 1.41/1.63 (define @t113 () (tptp.m2_lattice4 @t1 @t2)) % 1.41/1.63 (define @t114 () (and @t86 @t113)) % 1.41/1.63 (define @t115 () (tptp.m1_filter_2 @t1 @t2)) % 1.41/1.63 (define @t116 () (tptp.m2_filter_2 @t1 @t2)) % 1.41/1.63 (define @t117 () (forall @t19 (=> @t116 @t114))) % 1.41/1.63 (define @t118 () (=> @t25 @t117)) % 1.41/1.63 (define @t119 () (forall @t27 @t118)) % 1.41/1.63 (define @t120 () (forall @t19 (=> @t113 @t62))) % 1.41/1.63 (define @t121 () (=> @t25 @t120)) % 1.41/1.63 (define @t122 () (forall @t27 @t121)) % 1.41/1.63 (define @t123 () (tptp.m2_relset_1 @t4 @t2 @t1)) % 1.41/1.63 (define @t124 () (tptp.k2_zfmisc_1 @t5 @t5)) % 1.41/1.63 (define @t125 () (tptp.v1_funct_2 @t30 @t124 @t5)) % 1.41/1.63 (define @t126 () (tptp.v1_funct_1 @t30)) % 1.41/1.63 (define @t127 () (tptp.v1_funct_2 @t31 @t124 @t5)) % 1.41/1.63 (define @t128 () (tptp.v1_funct_1 @t31)) % 1.41/1.63 (define @t129 () (tptp.m1_relset_1 @t4 @t2 @t1)) % 1.41/1.63 (define @t130 () (not (tptp.v3_struct_0 @t54))) % 1.41/1.63 (define @t131 () (and @t130 @t88)) % 1.41/1.63 (define @t132 () (and @t24 @t21)) % 1.41/1.63 (define @t133 () (forall @t27 (=> @t132 @t131))) % 1.41/1.63 (define @t134 () (not (tptp.v1_xboole_0 @t5))) % 1.41/1.63 (define @t135 () (and @t24 @t105)) % 1.41/1.63 (define @t136 () (forall @t27 (=> @t135 @t134))) % 1.41/1.63 (define @t137 () (tptp.v1_partfun1 @t31 @t124 @t5)) % 1.41/1.63 (define @t138 () (tptp.v1_relat_1 @t31)) % 1.41/1.63 (define @t139 () (tptp.k1_tarski @t2)) % 1.41/1.63 (define @t140 () (not (tptp.v1_xboole_0 @t139))) % 1.41/1.63 (define @t141 () (tptp.v1_partfun1 @t30 @t124 @t5)) % 1.41/1.63 (define @t142 () (tptp.v1_relat_1 @t30)) % 1.41/1.63 (define @t143 () (and @t130 @t88 (tptp.v4_lattices @t54) (tptp.v5_lattices @t54) (tptp.v6_lattices @t54) (tptp.v7_lattices @t54) (tptp.v8_lattices @t54) (tptp.v9_lattices @t54) (tptp.v10_lattices @t54))) % 1.41/1.63 (define @t144 () (forall @t27 (=> @t25 @t143))) % 1.41/1.63 (define @t145 () (@var "D" $$unsorted)) % 1.41/1.63 (define @t146 () (= @t2 @t145)) % 1.41/1.63 (define @t147 () (tptp.u1_struct_0 @t1)) % 1.41/1.63 (define @t148 () (tptp.m1_subset_1 @t145 @t147)) % 1.41/1.63 (define @t149 () (@list @t145)) % 1.41/1.63 (define @t150 () (and (not (tptp.v3_struct_0 @t1)) (tptp.v10_lattices @t1) (tptp.l3_lattices @t1) (tptp.m1_subset_1 @t4 @t147))) % 1.41/1.63 (define @t151 () (@var "F" $$unsorted)) % 1.41/1.63 (define @t152 () (@var "E" $$unsorted)) % 1.41/1.63 (define @t153 () (tptp.m1_subset_1 @t1 @t96)) % 1.41/1.63 (define @t154 () (=> @t82 (= @t91 @t55))) % 1.41/1.63 (define @t155 () (forall @t34 @t154)) % 1.41/1.63 (define @t156 () (=> @t87 (= @t93 @t92))) % 1.41/1.63 (define @t157 () (forall @t34 @t156)) % 1.41/1.63 (define @t158 () (= @t97 (tptp.k1_tarski @t1))) % 1.41/1.63 (define @t159 () (forall @t34 (=> @t100 @t158))) % 1.41/1.63 (define @t160 () (tptp.r1_filter_2 @t2 @t1 @t4)) % 1.41/1.63 (define @t161 () (= @t160 (= @t1 @t4))) % 1.41/1.63 (define @t162 () (tptp.m1_subset_1 @t4 @t96)) % 1.41/1.63 (define @t163 () (and @t45 @t153 @t162)) % 1.41/1.63 (define @t164 () (forall @t50 (=> @t163 @t161))) % 1.41/1.63 (define @t165 () (and @t24 @t40 @t38 @t37 @t21 @t17 (tptp.m1_subset_1 @t4 @t5))) % 1.41/1.63 (define @t166 () (tptp.m1_subset_1 @t2 @t1)) % 1.41/1.63 (define @t167 () (= @t2 @t1)) % 1.41/1.63 (define @t168 () (tptp.k3_filter_0 @t2 @t4)) % 1.41/1.63 (define @t169 () (= @t4 @t7)) % 1.41/1.63 (define @t170 () (=> @t169 (= @t168 @t55))) % 1.41/1.63 (define @t171 () (=> @t14 @t170)) % 1.41/1.63 (define @t172 () (forall @t15 @t171)) % 1.41/1.63 (define @t173 () (=> @t17 @t172)) % 1.41/1.63 (define @t174 () (forall @t19 @t173)) % 1.41/1.63 (define @t175 () (=> @t25 @t174)) % 1.41/1.63 (define @t176 () (forall @t27 @t175)) % 1.41/1.63 (define @t177 () (tptp.k18_filter_2 @t54 @t56)) % 1.41/1.63 (define @t178 () (= @t3 (tptp.k2_filter_2 @t54 @t56))) % 1.41/1.63 (define @t179 () (and @t178 (= @t177 @t91))) % 1.41/1.63 (define @t180 () (=> @t17 @t179)) % 1.41/1.63 (define @t181 () (forall @t19 @t180)) % 1.41/1.63 (define @t182 () (=> @t25 @t181)) % 1.41/1.63 (define @t183 () (forall @t27 @t182)) % 1.41/1.63 (define @t184 () (tptp.k8_filter_2 @t2 @t4)) % 1.41/1.63 (define @t185 () (= (tptp.k3_filter_2 @t54 @t4) (tptp.k19_filter_2 @t2 @t184))) % 1.41/1.63 (define @t186 () (= (tptp.k3_filter_2 @t2 @t184) (tptp.k19_filter_2 @t54 @t4))) % 1.41/1.63 (define @t187 () (= @t93 (tptp.k19_filter_2 @t54 @t61))) % 1.41/1.63 (define @t188 () (tptp.k3_filter_2 @t54 @t61)) % 1.41/1.63 (define @t189 () (and (= @t188 @t84) @t187 @t186 @t185)) % 1.41/1.63 (define @t190 () (tptp.m1_subset_1 @t4 @t69)) % 1.41/1.63 (define @t191 () (and @t13 @t190)) % 1.41/1.63 (define @t192 () (=> @t191 @t189)) % 1.41/1.63 (define @t193 () (forall @t15 @t192)) % 1.41/1.63 (define @t194 () (=> @t111 @t193)) % 1.41/1.63 (define @t195 () (forall @t19 @t194)) % 1.41/1.63 (define @t196 () (=> @t25 @t195)) % 1.41/1.63 (define @t197 () (forall @t27 @t196)) % 1.41/1.63 (define @t198 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t4))) % 1.41/1.63 (define @t199 () (@var "BOUND_VARIABLE_8126" $$unsorted)) % 1.41/1.63 (define @t200 () (= @t199 (tptp.k5_filter_2 @t2 @t199))) % 1.41/1.63 (define @t201 () (not (tptp.m1_subset_1 @t199 @t5))) % 1.41/1.63 (define @t202 () (not @t21)) % 1.41/1.63 (define @t203 () (not @t22)) % 1.41/1.63 (define @t204 () (or @t201 @t200)) % 1.41/1.63 (define @t205 () (or @t23 @t203 @t202 @t204)) % 1.41/1.63 (define @t206 () (forall (@list @t2 @t199) @t205)) % 1.41/1.63 (define @t207 () (@list @t199)) % 1.41/1.63 (define @t208 () (forall @t207 @t205)) % 1.41/1.63 (define @t209 () (forall @t207 @t204)) % 1.41/1.63 (define @t210 () (@list @t1)) % 1.41/1.63 (define @t211 () (or @t23 @t203 @t202 @t209)) % 1.41/1.63 (define @t212 () (= @t1 @t56)) % 1.41/1.63 (define @t213 () (not @t17)) % 1.41/1.63 (define @t214 () (forall @t19 (or @t213 @t212))) % 1.41/1.63 (define @t215 () (or @t23 @t203 @t202 @t214)) % 1.41/1.63 (define @t216 () (or @t23 @t203 @t202)) % 1.41/1.63 (define @t217 () (not @t24)) % 1.41/1.63 (define @t218 () (or @t217 @t203 @t202)) % 1.41/1.63 (define @t219 () (not @t25)) % 1.41/1.63 (define @t220 () (@var "BOUND_VARIABLE_8027" $$unsorted)) % 1.41/1.63 (define @t221 () (@var "BOUND_VARIABLE_8029" $$unsorted)) % 1.41/1.63 (define @t222 () (tptp.r1_filter_2 @t5 (tptp.k19_filter_2 @t2 @t221) (tptp.k18_filter_2 @t2 @t220))) % 1.41/1.63 (define @t223 () (not (tptp.r1_filter_2 @t5 @t221 (tptp.k6_domain_1 @t5 @t220)))) % 1.41/1.63 (define @t224 () (not (tptp.m1_subset_1 @t221 @t10))) % 1.41/1.63 (define @t225 () (tptp.v1_xboole_0 @t221)) % 1.41/1.63 (define @t226 () (not (tptp.m1_subset_1 @t220 @t5))) % 1.41/1.63 (define @t227 () (or @t23 @t203 @t202 @t226 @t225 @t224 @t223 @t222)) % 1.41/1.63 (define @t228 () (@list @t2 @t220 @t221)) % 1.41/1.63 (define @t229 () (forall @t228 @t227)) % 1.41/1.63 (define @t230 () (@quantifiers_skolemize @t229 1)) % 1.41/1.63 (define @t231 () (@quantifiers_skolemize @t229 0)) % 1.41/1.63 (define @t232 () (@list @t231 @t230)) % 1.41/1.63 (define @t233 () (or @t226 @t225 @t224 @t223 @t222)) % 1.41/1.63 (define @t234 () (or @t23 @t203 @t202 @t233)) % 1.41/1.63 (define @t235 () (forall @t228 @t234)) % 1.41/1.63 (define @t236 () (@list @t220 @t221)) % 1.41/1.63 (define @t237 () (forall @t236 @t234)) % 1.41/1.63 (define @t238 () (forall @t236 @t233)) % 1.41/1.63 (define @t239 () (@var "BOUND_VARIABLE_8004" $$unsorted)) % 1.41/1.63 (define @t240 () (or @t23 @t203 @t202 @t238)) % 1.41/1.63 (define @t241 () (tptp.r1_filter_2 @t5 (tptp.k19_filter_2 @t2 @t239) @t3)) % 1.41/1.63 (define @t242 () (not (tptp.r1_filter_2 @t5 @t239 @t7))) % 1.41/1.63 (define @t243 () (not (tptp.m1_subset_1 @t239 @t10))) % 1.41/1.63 (define @t244 () (tptp.v1_xboole_0 @t239)) % 1.41/1.63 (define @t245 () (or @t213 @t244 @t243 @t242 @t241)) % 1.41/1.63 (define @t246 () (@list @t1 @t239)) % 1.41/1.63 (define @t247 () (forall @t246 @t245)) % 1.41/1.63 (define @t248 () (or @t23 @t203 @t202 @t247)) % 1.41/1.63 (define @t249 () (or @t244 @t243 @t242 @t241)) % 1.41/1.63 (define @t250 () (or @t213 @t249)) % 1.41/1.63 (define @t251 () (forall @t246 @t250)) % 1.41/1.63 (define @t252 () (@list @t239)) % 1.41/1.63 (define @t253 () (forall @t252 @t250)) % 1.41/1.63 (define @t254 () (forall @t252 @t249)) % 1.41/1.63 (define @t255 () (@list @t4)) % 1.41/1.63 (define @t256 () (or @t213 @t254)) % 1.41/1.63 (define @t257 () (not @t8)) % 1.41/1.63 (define @t258 () (not @t11)) % 1.41/1.63 (define @t259 () (or @t12 @t258 @t257 @t6)) % 1.41/1.63 (define @t260 () (forall @t15 @t259)) % 1.41/1.63 (define @t261 () (or @t12 @t258)) % 1.41/1.63 (define @t262 () (not @t13)) % 1.41/1.63 (define @t263 () (not @t14)) % 1.41/1.63 (define @t264 () (tptp.u1_struct_0 @t231)) % 1.41/1.63 (define @t265 () (tptp.m1_subset_1 @t230 @t264)) % 1.41/1.63 (define @t266 () (tptp.k18_filter_2 @t231 @t230)) % 1.41/1.63 (define @t267 () (@quantifiers_skolemize @t229 2)) % 1.41/1.63 (define @t268 () (tptp.k19_filter_2 @t231 @t267)) % 1.41/1.63 (define @t269 () (tptp.r1_filter_2 @t264 @t268 @t266)) % 1.41/1.63 (define @t270 () (tptp.k6_domain_1 @t264 @t230)) % 1.41/1.63 (define @t271 () (tptp.r1_filter_2 @t264 @t267 @t270)) % 1.41/1.63 (define @t272 () (not @t271)) % 1.41/1.63 (define @t273 () (tptp.k1_zfmisc_1 @t264)) % 1.41/1.63 (define @t274 () (tptp.m1_subset_1 @t267 @t273)) % 1.41/1.63 (define @t275 () (not @t274)) % 1.41/1.63 (define @t276 () (tptp.v1_xboole_0 @t267)) % 1.41/1.63 (define @t277 () (not @t265)) % 1.41/1.63 (define @t278 () (tptp.l3_lattices @t231)) % 1.41/1.63 (define @t279 () (not @t278)) % 1.41/1.63 (define @t280 () (tptp.v10_lattices @t231)) % 1.41/1.63 (define @t281 () (not @t280)) % 1.41/1.63 (define @t282 () (tptp.v3_struct_0 @t231)) % 1.41/1.63 (define @t283 () (or @t282 @t281 @t279 @t277 @t276 @t275 @t272 @t269)) % 1.41/1.63 (define @t284 () (@list true)) % 1.41/1.63 (define @t285 () (@list @t283)) % 1.41/1.63 (define @t286 () (tptp.k5_filter_2 @t231 @t230)) % 1.41/1.63 (define @t287 () (= @t230 @t286)) % 1.41/1.63 (define @t288 () (or @t282 @t281 @t279 @t277 @t287)) % 1.41/1.63 (define @t289 () (@list true false false false false)) % 1.41/1.63 (define @t290 () (@var "BOUND_VARIABLE_8149" $$unsorted)) % 1.41/1.63 (define @t291 () (= @t290 (tptp.k7_filter_2 @t2 @t290))) % 1.41/1.63 (define @t292 () (not (tptp.m1_subset_1 @t290 @t10))) % 1.41/1.63 (define @t293 () (or @t292 @t291)) % 1.41/1.63 (define @t294 () (or @t23 @t203 @t202 @t293)) % 1.41/1.63 (define @t295 () (forall (@list @t2 @t290) @t294)) % 1.41/1.63 (define @t296 () (@list @t290)) % 1.41/1.63 (define @t297 () (forall @t296 @t294)) % 1.41/1.63 (define @t298 () (forall @t296 @t293)) % 1.41/1.63 (define @t299 () (or @t23 @t203 @t202 @t298)) % 1.41/1.63 (define @t300 () (= @t1 @t61)) % 1.41/1.63 (define @t301 () (not @t62)) % 1.41/1.63 (define @t302 () (forall @t19 (or @t301 @t300))) % 1.41/1.63 (define @t303 () (or @t23 @t203 @t202 @t302)) % 1.41/1.63 (define @t304 () (@list @t231 @t267)) % 1.41/1.63 (define @t305 () (tptp.k7_filter_2 @t231 @t267)) % 1.41/1.63 (define @t306 () (= @t267 @t305)) % 1.41/1.63 (define @t307 () (or @t282 @t281 @t279 @t275 @t306)) % 1.41/1.63 (define @t308 () (@var "BOUND_VARIABLE_8803" $$unsorted)) % 1.41/1.63 (define @t309 () (tptp.k5_filter_2 @t2 @t308)) % 1.41/1.63 (define @t310 () (and (= (tptp.k18_filter_2 @t2 @t308) (tptp.k2_filter_2 @t54 @t309)) (= (tptp.k2_filter_2 @t2 @t308) (tptp.k18_filter_2 @t54 @t309)))) % 1.41/1.63 (define @t311 () (not (tptp.m1_subset_1 @t308 @t5))) % 1.41/1.63 (define @t312 () (or @t311 @t310)) % 1.41/1.63 (define @t313 () (or @t23 @t203 @t202 @t312)) % 1.41/1.63 (define @t314 () (forall (@list @t2 @t308) @t313)) % 1.41/1.63 (define @t315 () (@list @t308)) % 1.41/1.63 (define @t316 () (forall @t315 @t313)) % 1.41/1.63 (define @t317 () (forall @t315 @t312)) % 1.41/1.63 (define @t318 () (or @t23 @t203 @t202 @t317)) % 1.41/1.63 (define @t319 () (and @t178 (= @t91 @t177))) % 1.41/1.63 (define @t320 () (forall @t19 (or @t213 @t319))) % 1.41/1.63 (define @t321 () (or @t23 @t203 @t202 @t320)) % 1.41/1.63 (define @t322 () (tptp.k1_lattice2 @t231)) % 1.41/1.63 (define @t323 () (tptp.k2_filter_2 @t322 @t286)) % 1.41/1.63 (define @t324 () (= @t266 @t323)) % 1.41/1.63 (define @t325 () (and @t324 (= (tptp.k2_filter_2 @t231 @t230) (tptp.k18_filter_2 @t322 @t286)))) % 1.41/1.63 (define @t326 () (or @t282 @t281 @t279 @t277 @t325)) % 1.41/1.63 (define @t327 () (@list false)) % 1.41/1.63 (define @t328 () (= @t55 @t91)) % 1.41/1.63 (define @t329 () (or @t23 @t203 @t202 @t213 @t328)) % 1.41/1.63 (define @t330 () (or @t23 @t203 @t202 @t213)) % 1.41/1.63 (define @t331 () (or @t217 @t203 @t202 @t213)) % 1.41/1.63 (define @t332 () (not @t82)) % 1.41/1.63 (define @t333 () (tptp.k2_filter_0 @t322 @t286)) % 1.41/1.63 (define @t334 () (tptp.u1_struct_0 @t322)) % 1.41/1.63 (define @t335 () (tptp.m1_subset_1 @t286 @t334)) % 1.41/1.63 (define @t336 () (not @t335)) % 1.41/1.63 (define @t337 () (tptp.l3_lattices @t322)) % 1.41/1.63 (define @t338 () (not @t337)) % 1.41/1.63 (define @t339 () (tptp.v10_lattices @t322)) % 1.41/1.63 (define @t340 () (not @t339)) % 1.41/1.63 (define @t341 () (tptp.v3_struct_0 @t322)) % 1.41/1.63 (define @t342 () (or @t341 @t340 @t338 @t336 (= @t333 @t323))) % 1.41/1.63 (define @t343 () (forall @t34 @t329)) % 1.41/1.63 (define @t344 () (@list @t322 @t286)) % 1.41/1.63 (define @t345 () (= @t323 @t333)) % 1.41/1.63 (define @t346 () (or @t341 @t340 @t338 @t336 @t345)) % 1.41/1.63 (define @t347 () (or @t282 @t281 @t279 @t277 @t335)) % 1.41/1.63 (define @t348 () (@list @t231)) % 1.41/1.63 (define @t349 () (tptp.v3_lattices @t322)) % 1.41/1.63 (define @t350 () (and @t349 @t337)) % 1.41/1.63 (define @t351 () (or @t279 @t350)) % 1.41/1.63 (define @t352 () (@list false false)) % 1.41/1.63 (define @t353 () (not @t341)) % 1.41/1.63 (define @t354 () (and @t353 @t349 (tptp.v4_lattices @t322) (tptp.v5_lattices @t322) (tptp.v6_lattices @t322) (tptp.v7_lattices @t322) (tptp.v8_lattices @t322) (tptp.v9_lattices @t322) @t339)) % 1.41/1.63 (define @t355 () (or @t282 @t281 @t279 @t354)) % 1.41/1.63 (define @t356 () (and @t353 @t349)) % 1.41/1.63 (define @t357 () (or @t282 @t279 @t356)) % 1.41/1.63 (define @t358 () (@list true false false)) % 1.41/1.63 (define @t359 () (not @t99)) % 1.41/1.63 (define @t360 () (or @t36 @t359)) % 1.41/1.63 (define @t361 () (not @t45)) % 1.41/1.63 (define @t362 () (not @t100)) % 1.41/1.63 (define @t363 () (@list @t264 @t230)) % 1.41/1.63 (define @t364 () (not @t105)) % 1.41/1.63 (define @t365 () (tptp.l1_lattices @t231)) % 1.41/1.63 (define @t366 () (and @t365 (tptp.l2_lattices @t231))) % 1.41/1.63 (define @t367 () (or @t279 @t366)) % 1.41/1.63 (define @t368 () (tptp.l1_struct_0 @t231)) % 1.41/1.63 (define @t369 () (not @t365)) % 1.41/1.63 (define @t370 () (or @t369 @t368)) % 1.41/1.63 (define @t371 () (tptp.v1_xboole_0 @t264)) % 1.41/1.63 (define @t372 () (not @t371)) % 1.41/1.63 (define @t373 () (not @t368)) % 1.41/1.63 (define @t374 () (or @t282 @t373 @t372)) % 1.41/1.63 (define @t375 () (tptp.k1_tarski @t230)) % 1.41/1.63 (define @t376 () (= @t270 @t375)) % 1.41/1.63 (define @t377 () (or @t371 @t277 @t376)) % 1.41/1.63 (define @t378 () (@list false true false)) % 1.41/1.63 (define @t379 () (not @t162)) % 1.41/1.63 (define @t380 () (not @t153)) % 1.41/1.63 (define @t381 () (or @t361 @t380 @t379)) % 1.41/1.63 (define @t382 () (tptp.m1_subset_1 @t270 @t273)) % 1.41/1.63 (define @t383 () (or @t371 @t277 @t382)) % 1.41/1.63 (define @t384 () (= @t267 @t270)) % 1.41/1.63 (define @t385 () (= @t271 @t384)) % 1.41/1.63 (define @t386 () (not @t382)) % 1.41/1.63 (define @t387 () (or @t371 @t275 @t386 @t385)) % 1.41/1.63 (define @t388 () (@var "BOUND_VARIABLE_8862" $$unsorted)) % 1.41/1.63 (define @t389 () (tptp.k8_filter_2 @t2 @t388)) % 1.41/1.63 (define @t390 () (@var "BOUND_VARIABLE_8860" $$unsorted)) % 1.41/1.63 (define @t391 () (tptp.k7_filter_2 @t2 @t390)) % 1.41/1.63 (define @t392 () (and (= (tptp.k19_filter_2 @t2 @t390) (tptp.k3_filter_2 @t54 @t391)) (= (tptp.k3_filter_2 @t2 @t390) (tptp.k19_filter_2 @t54 @t391)) (= (tptp.k3_filter_2 @t2 @t389) (tptp.k19_filter_2 @t54 @t388)) (= (tptp.k3_filter_2 @t54 @t388) (tptp.k19_filter_2 @t2 @t389)))) % 1.41/1.63 (define @t393 () (not (tptp.m1_subset_1 @t388 @t69))) % 1.41/1.63 (define @t394 () (tptp.v1_xboole_0 @t388)) % 1.41/1.63 (define @t395 () (not (tptp.m1_subset_1 @t390 @t10))) % 1.41/1.63 (define @t396 () (tptp.v1_xboole_0 @t390)) % 1.41/1.63 (define @t397 () (or @t396 @t395 @t394 @t393 @t392)) % 1.41/1.63 (define @t398 () (or @t23 @t203 @t202 @t397)) % 1.41/1.63 (define @t399 () (forall (@list @t2 @t390 @t388) @t398)) % 1.41/1.63 (define @t400 () (@list @t390 @t388)) % 1.41/1.63 (define @t401 () (forall @t400 @t398)) % 1.41/1.63 (define @t402 () (forall @t400 @t397)) % 1.41/1.63 (define @t403 () (@var "BOUND_VARIABLE_8837" $$unsorted)) % 1.41/1.63 (define @t404 () (or @t23 @t203 @t202 @t402)) % 1.41/1.63 (define @t405 () (tptp.k8_filter_2 @t2 @t403)) % 1.41/1.63 (define @t406 () (= @t84 @t188)) % 1.41/1.63 (define @t407 () (and @t406 @t187 (= (tptp.k3_filter_2 @t2 @t405) (tptp.k19_filter_2 @t54 @t403)) (= (tptp.k3_filter_2 @t54 @t403) (tptp.k19_filter_2 @t2 @t405)))) % 1.41/1.63 (define @t408 () (not (tptp.m1_subset_1 @t403 @t69))) % 1.41/1.63 (define @t409 () (tptp.v1_xboole_0 @t403)) % 1.41/1.63 (define @t410 () (or @t85 @t301 @t409 @t408 @t407)) % 1.41/1.63 (define @t411 () (@list @t1 @t403)) % 1.41/1.63 (define @t412 () (forall @t411 @t410)) % 1.41/1.63 (define @t413 () (or @t23 @t203 @t202 @t412)) % 1.41/1.63 (define @t414 () (or @t409 @t408 @t407)) % 1.41/1.63 (define @t415 () (or @t85 @t301 @t414)) % 1.41/1.63 (define @t416 () (forall @t411 @t415)) % 1.41/1.63 (define @t417 () (@list @t403)) % 1.41/1.63 (define @t418 () (forall @t417 @t415)) % 1.41/1.63 (define @t419 () (forall @t417 @t414)) % 1.41/1.63 (define @t420 () (or @t85 @t301 @t419)) % 1.41/1.63 (define @t421 () (and @t406 @t187 @t186 @t185)) % 1.41/1.63 (define @t422 () (not @t190)) % 1.41/1.63 (define @t423 () (or @t12 @t422 @t421)) % 1.41/1.63 (define @t424 () (forall @t15 @t423)) % 1.41/1.63 (define @t425 () (or @t85 @t301 @t424)) % 1.41/1.63 (define @t426 () (not @t86)) % 1.41/1.63 (define @t427 () (or @t426 @t301)) % 1.41/1.63 (define @t428 () (not @t111)) % 1.41/1.63 (define @t429 () (or @t217 @t203 @t202 @t301)) % 1.41/1.63 (define @t430 () (tptp.k1_zfmisc_1 @t334)) % 1.41/1.63 (define @t431 () (tptp.m1_subset_1 @t305 @t430)) % 1.41/1.63 (define @t432 () (or @t282 @t281 @t279 @t275 @t431)) % 1.41/1.63 (define @t433 () (tptp.m1_subset_1 @t267 @t430)) % 1.41/1.63 (define @t434 () (tptp.k8_filter_2 @t231 @t267)) % 1.41/1.63 (define @t435 () (tptp.k3_filter_2 @t322 @t267)) % 1.41/1.63 (define @t436 () (tptp.k3_filter_2 @t322 @t305)) % 1.41/1.63 (define @t437 () (= @t268 @t436)) % 1.41/1.63 (define @t438 () (and @t437 (= (tptp.k3_filter_2 @t231 @t267) (tptp.k19_filter_2 @t322 @t305)) (= (tptp.k3_filter_2 @t231 @t434) (tptp.k19_filter_2 @t322 @t267)) (= @t435 (tptp.k19_filter_2 @t231 @t434)))) % 1.41/1.63 (define @t439 () (not @t433)) % 1.41/1.63 (define @t440 () (or @t282 @t281 @t279 @t276 @t275 @t276 @t439 @t438)) % 1.41/1.63 (define @t441 () (@list @t438)) % 1.41/1.63 (define @t442 () (= @t268 @t266)) % 1.41/1.63 (define @t443 () (= @t269 @t442)) % 1.41/1.63 (define @t444 () (@var "BOUND_VARIABLE_8322" $$unsorted)) % 1.41/1.63 (define @t445 () (and (not (tptp.v1_xboole_0 @t444)) (tptp.m2_lattice4 @t444 @t2))) % 1.41/1.63 (define @t446 () (not (tptp.m2_filter_2 @t444 @t2))) % 1.41/1.63 (define @t447 () (or @t446 @t445)) % 1.41/1.63 (define @t448 () (or @t23 @t203 @t202 @t447)) % 1.41/1.63 (define @t449 () (forall (@list @t2 @t444) @t448)) % 1.41/1.63 (define @t450 () (@list @t444)) % 1.41/1.63 (define @t451 () (forall @t450 @t448)) % 1.41/1.63 (define @t452 () (forall @t450 @t447)) % 1.41/1.63 (define @t453 () (or @t23 @t203 @t202 @t452)) % 1.41/1.63 (define @t454 () (forall @t19 (or (not @t116) @t114))) % 1.41/1.63 (define @t455 () (or @t23 @t203 @t202 @t454)) % 1.41/1.63 (define @t456 () (tptp.m2_filter_2 @t266 @t231)) % 1.41/1.63 (define @t457 () (or @t282 @t281 @t279 @t277 @t456)) % 1.41/1.63 (define @t458 () (tptp.m2_lattice4 @t266 @t231)) % 1.41/1.63 (define @t459 () (and (not (tptp.v1_xboole_0 @t266)) @t458)) % 1.41/1.63 (define @t460 () (not @t456)) % 1.41/1.63 (define @t461 () (or @t282 @t281 @t279 @t460 @t459)) % 1.41/1.63 (define @t462 () (@var "BOUND_VARIABLE_8775" $$unsorted)) % 1.41/1.63 (define @t463 () (tptp.k6_domain_1 @t5 @t462)) % 1.41/1.63 (define @t464 () (= (tptp.k2_filter_0 @t2 @t462) (tptp.k3_filter_0 @t2 @t463))) % 1.41/1.63 (define @t465 () (not (tptp.m1_subset_1 @t463 @t10))) % 1.41/1.63 (define @t466 () (tptp.v1_xboole_0 @t463)) % 1.41/1.63 (define @t467 () (not (tptp.m1_subset_1 @t462 @t5))) % 1.41/1.63 (define @t468 () (or @t467 @t466 @t465 @t464)) % 1.41/1.63 (define @t469 () (or @t23 @t203 @t202 @t468)) % 1.41/1.63 (define @t470 () (= @t469 (or @t23 @t203 @t202 @t467 @t466 @t465 @t464))) % 1.41/1.63 (define @t471 () (forall (@list @t2 @t462) @t469)) % 1.41/1.63 (define @t472 () (@list @t462)) % 1.41/1.63 (define @t473 () (forall @t472 @t469)) % 1.41/1.63 (define @t474 () (= (forall @t27 @t473) @t471)) % 1.41/1.63 (define @t475 () (forall @t472 @t468)) % 1.41/1.63 (define @t476 () (@list @t462)) % 1.41/1.63 (define @t477 () (or @t23 @t203 @t202 @t475)) % 1.41/1.63 (define @t478 () (= @t473 @t477)) % 1.41/1.63 (define @t479 () (= @t55 (tptp.k3_filter_0 @t2 @t7))) % 1.41/1.63 (define @t480 () (not (tptp.m1_subset_1 @t7 @t10))) % 1.41/1.63 (define @t481 () (tptp.v1_xboole_0 @t7)) % 1.41/1.63 (define @t482 () (or @t213 @t481 @t480 @t479)) % 1.41/1.63 (define @t483 () (forall @t19 @t482)) % 1.41/1.63 (define @t484 () (or @t23 @t203 @t202 @t483)) % 1.41/1.63 (define @t485 () (forall @t27 @t484)) % 1.41/1.63 (define @t486 () (= (or @t216 @t483) @t484)) % 1.41/1.63 (define @t487 () (or @t219 @t483)) % 1.41/1.63 (define @t488 () (forall @t27 (=> @t25 @t483))) % 1.41/1.63 (define @t489 () (or @t481 @t480 @t479)) % 1.41/1.63 (define @t490 () (= (or @t213 @t489) @t482)) % 1.41/1.63 (define @t491 () (forall @t19 (=> @t17 @t489))) % 1.41/1.63 (define @t492 () (= (or @t481 @t480 false @t479) @t489)) % 1.41/1.63 (define @t493 () (not true)) % 1.41/1.63 (define @t494 () (not (= @t7 @t7))) % 1.41/1.63 (define @t495 () (or @t481 @t480 @t494 @t479)) % 1.41/1.63 (define @t496 () (= @t55 @t168)) % 1.41/1.63 (define @t497 () (not @t169)) % 1.41/1.63 (define @t498 () (or @t497 @t12 @t258 @t497 @t496)) % 1.41/1.63 (define @t499 () (= (forall @t15 @t498) @t495)) % 1.41/1.63 (define @t500 () (or @t12 @t258 @t497 @t496)) % 1.41/1.63 (define @t501 () (= @t500 @t498)) % 1.41/1.63 (define @t502 () (forall @t15 @t500)) % 1.41/1.63 (define @t503 () (= (or @t261 (or @t497 @t496)) @t500)) % 1.41/1.63 (define @t504 () (=> @t169 @t496)) % 1.41/1.63 (define @t505 () (or @t263 @t504)) % 1.41/1.63 (define @t506 () (forall @t15 (=> @t14 @t504))) % 1.41/1.63 (define @t507 () (tptp.k1_tarski @t286)) % 1.41/1.63 (define @t508 () (@list @t334 @t286)) % 1.41/1.63 (define @t509 () (@list @t322)) % 1.41/1.63 (define @t510 () (tptp.l1_lattices @t322)) % 1.41/1.63 (define @t511 () (and @t510 (tptp.l2_lattices @t322))) % 1.41/1.63 (define @t512 () (or @t338 @t511)) % 1.41/1.63 (define @t513 () (or @t338 @t511 (not @t512))) % 1.41/1.63 (define @t514 () (@list @t337 @t512)) % 1.41/1.63 (define @t515 () (or @t510 (not @t511))) % 1.41/1.63 (define @t516 () (@list @t511)) % 1.41/1.63 (define @t517 () (tptp.l1_struct_0 @t322)) % 1.41/1.63 (define @t518 () (not @t510)) % 1.41/1.63 (define @t519 () (or @t518 @t517)) % 1.41/1.63 (define @t520 () (or @t518 @t517 (not @t519))) % 1.41/1.63 (define @t521 () (@list @t510 @t519)) % 1.41/1.63 (define @t522 () (tptp.v1_xboole_0 @t334)) % 1.41/1.63 (define @t523 () (not @t522)) % 1.41/1.63 (define @t524 () (not @t517)) % 1.41/1.63 (define @t525 () (or @t341 @t524 @t523)) % 1.41/1.63 (define @t526 () (or @t341 @t524 @t523 (not @t525))) % 1.41/1.63 (define @t527 () (@list @t341 @t517 @t525)) % 1.41/1.63 (define @t528 () (tptp.k6_domain_1 @t334 @t286)) % 1.41/1.63 (define @t529 () (= @t528 @t507)) % 1.41/1.63 (define @t530 () (or @t522 @t336 @t529)) % 1.41/1.63 (define @t531 () (or @t336 @t522 @t529 (not @t530))) % 1.41/1.63 (define @t532 () (@list @t335 @t522 @t530)) % 1.41/1.63 (define @t533 () (tptp.m1_subset_1 @t528 @t430)) % 1.41/1.63 (define @t534 () (tptp.v1_xboole_0 @t528)) % 1.41/1.63 (define @t535 () (= @t333 (tptp.k3_filter_0 @t322 @t528))) % 1.41/1.63 (define @t536 () (not @t533)) % 1.41/1.63 (define @t537 () (or @t341 @t340 @t338 @t336 @t534 @t536 @t535)) % 1.41/1.63 (define @t538 () (or @t341 @t340 @t338 @t336 @t534 @t536 @t535 (not @t537))) % 1.41/1.63 (define @t539 () (@list true false false false true false false)) % 1.41/1.63 (define @t540 () (@list @t341 @t339 @t337 @t335 @t534 @t533 @t537)) % 1.41/1.63 (define @t541 () (tptp.k3_filter_0 @t322 @t305)) % 1.41/1.63 (define @t542 () (tptp.k3_filter_0 @t322 @t267)) % 1.41/1.63 (define @t543 () (= @t92 @t93)) % 1.41/1.63 (define @t544 () (or @t23 @t203 @t202 @t85 @t301 @t543)) % 1.41/1.63 (define @t545 () (= (or (or @t23 @t203 @t202 @t85 @t301) @t543) @t544)) % 1.41/1.63 (define @t546 () (or @t217 @t203 @t202 @t426 @t301)) % 1.41/1.63 (define @t547 () (= (or @t217 (or @t203 (or @t202 @t427))) @t546)) % 1.41/1.63 (define @t548 () (or @t202 @t428)) % 1.41/1.63 (define @t549 () (or @t203 (not (and @t21 @t86 @t62)))) % 1.41/1.63 (define @t550 () (or @t217 (not (and @t22 @t21 @t86 @t62)))) % 1.41/1.63 (define @t551 () (or (not @t87) @t543)) % 1.41/1.63 (define @t552 () (forall @t34 (=> @t87 @t543))) % 1.41/1.63 (define @t553 () (or @t341 @t340 @t338 @t276 @t439 (= @t542 @t435))) % 1.41/1.63 (define @t554 () (forall @t34 @t544)) % 1.41/1.63 (define @t555 () (=> @t554 @t553)) % 1.41/1.63 (define @t556 () (@list @t322 @t267)) % 1.41/1.63 (define @t557 () (= @t435 @t542)) % 1.41/1.63 (define @t558 () (or @t341 @t340 @t338 @t276 @t439 @t557)) % 1.41/1.63 (define @t559 () (@list @t554)) % 1.41/1.63 (define @t560 () (or @t276 @t341 @t439 @t340 @t338 @t557 (not @t558))) % 1.41/1.63 (define @t561 () (@list true true false false false false)) % 1.41/1.63 (define @t562 () (@list @t276 @t341 @t433 @t339 @t337 @t558)) % 1.41/1.63 (define @t563 () (tptp.m2_lattice4 @t268 @t231)) % 1.41/1.63 (define @t564 () (and @t442 @t458)) % 1.41/1.63 (define @t565 () (not @t442)) % 1.41/1.63 (define @t566 () (@var "BOUND_VARIABLE_8344" $$unsorted)) % 1.41/1.63 (define @t567 () (tptp.m1_subset_1 @t566 @t10)) % 1.41/1.63 (define @t568 () (not (tptp.m2_lattice4 @t566 @t2))) % 1.41/1.63 (define @t569 () (or @t568 @t567)) % 1.41/1.63 (define @t570 () (or @t23 @t203 @t202 @t569)) % 1.41/1.63 (define @t571 () (forall (@list @t2 @t566) @t570)) % 1.41/1.63 (define @t572 () (@list @t566)) % 1.41/1.63 (define @t573 () (forall @t572 @t570)) % 1.41/1.63 (define @t574 () (forall @t572 @t569)) % 1.41/1.63 (define @t575 () (or @t23 @t203 @t202 @t574)) % 1.41/1.63 (define @t576 () (forall @t19 (or (not @t113) @t62))) % 1.41/1.63 (define @t577 () (or @t23 @t203 @t202 @t576)) % 1.41/1.63 (define @t578 () (tptp.m1_subset_1 @t268 @t273)) % 1.41/1.63 (define @t579 () (not @t563)) % 1.41/1.63 (define @t580 () (or @t282 @t281 @t279 @t579 @t578)) % 1.41/1.63 (define @t581 () (tptp.m1_subset_1 @t266 @t273)) % 1.41/1.63 (define @t582 () (not @t581)) % 1.41/1.63 (define @t583 () (not @t578)) % 1.41/1.63 (define @t584 () (or @t371 @t583 @t582 @t443)) % 1.41/1.63 (define @t585 () (and @t578 @t442)) % 1.41/1.63 (define @t586 () (and @t287 @t306 @t376 @t384 @t324 @t437 @t345 @t557 @t529 @t535)) % 1.41/1.63 (assume @p1 @t29) % 1.41/1.63 (assume @p2 (forall @t27 (=> @t21 (=> @t32 (= @t2 (tptp.g3_lattices @t5 @t31 @t30)))))) % 1.41/1.63 (assume @p3 (forall @t34 (=> @t33 (not (tptp.r2_hidden @t1 @t2))))) % 1.41/1.63 (assume @p4 (forall @t27 (=> @t36 @t35))) % 1.41/1.63 (assume @p5 (forall @t27 (=> @t21 (=> @t44 @t43)))) % 1.41/1.63 (assume @p6 (forall @t27 (=> @t47 @t45))) % 1.41/1.63 (assume @p7 (forall @t50 (=> @t49 (tptp.v1_relat_1 @t4)))) % 1.41/1.63 (assume @p8 (forall @t27 (=> @t53 @t52))) % 1.41/1.63 (assume @p9 (forall @t27 (=> @t21 (=> @t43 @t44)))) % 1.41/1.63 (assume @p10 (forall @t27 (=> @t21 (= @t54 (tptp.g3_lattices @t5 @t30 @t31))))) % 1.41/1.63 (assume @p11 (forall @t27 (=> @t25 (forall @t19 (=> @t17 (= @t55 (tptp.a_2_0_filter_0 @t2 @t1))))))) % 1.41/1.63 (assume @p12 @t60) % 1.41/1.63 (assume @p13 @t66) % 1.41/1.63 (assume @p14 (forall @t27 (=> @t25 (forall @t19 (=> @t70 (= @t67 @t1)))))) % 1.41/1.63 (assume @p15 (forall @t27 (=> @t25 (forall @t19 (=> @t17 (= @t3 (tptp.a_2_0_filter_2 @t2 @t1))))))) % 1.41/1.63 (assume @p16 (forall @t50 (=> @t80 (and @t72 (tptp.l3_lattices @t71))))) % 1.41/1.63 (assume @p17 @t83) % 1.41/1.63 (assume @p18 (forall @t34 (=> @t87 (tptp.m2_filter_2 @t84 @t2)))) % 1.41/1.63 (assume @p19 @t90) % 1.41/1.63 (assume @p20 true) % 1.41/1.63 (assume @p21 (forall @t34 (=> @t82 (tptp.m1_filter_0 @t55 @t2)))) % 1.41/1.63 (assume @p22 (forall @t34 (=> @t82 (tptp.m1_filter_2 @t91 @t2)))) % 1.41/1.63 (assume @p23 (forall @t34 (=> @t87 (tptp.m1_filter_0 @t92 @t2)))) % 1.41/1.63 (assume @p24 (forall @t34 (=> @t87 (tptp.m1_filter_2 @t93 @t2)))) % 1.41/1.63 (assume @p25 @t95) % 1.41/1.63 (assume @p26 @t101) % 1.41/1.63 (assume @p27 @t104) % 1.41/1.63 (assume @p28 (forall @t34 (=> (and @t24 @t22 @t21 @t70) (tptp.m1_subset_1 @t67 @t10)))) % 1.41/1.63 (assume @p29 @t107) % 1.41/1.63 (assume @p30 (forall @t27 (=> @t108 @t105))) % 1.41/1.63 (assume @p31 @t110) % 1.41/1.63 (assume @p32 (forall @t27 (=> @t25 (forall @t19 (=> @t112 @t111))))) % 1.41/1.63 (assume @p33 (forall @t27 (=> @t25 (forall @t19 (=> @t115 @t114))))) % 1.41/1.63 (assume @p34 @t119) % 1.41/1.63 (assume @p35 @t122) % 1.41/1.63 (assume @p36 (forall @t50 (=> @t123 @t49))) % 1.41/1.63 (assume @p37 (forall @t27 (=> @t106 (and @t126 @t125 (tptp.m2_relset_1 @t30 @t124 @t5))))) % 1.41/1.63 (assume @p38 (forall @t27 (=> @t108 (and @t128 @t127 (tptp.m2_relset_1 @t31 @t124 @t5))))) % 1.41/1.63 (assume @p39 (exists @t27 @t106)) % 1.41/1.63 (assume @p40 (exists @t27 @t105)) % 1.41/1.63 (assume @p41 (exists @t27 @t108)) % 1.41/1.63 (assume @p42 (exists @t27 @t21)) % 1.41/1.63 (assume @p43 (forall @t27 (=> @t25 (exists @t19 @t112)))) % 1.41/1.63 (assume @p44 (forall @t27 (=> @t25 (exists @t19 @t115)))) % 1.41/1.63 (assume @p45 (forall @t34 (exists @t15 @t129))) % 1.41/1.63 (assume @p46 (forall @t27 (exists @t19 @t99))) % 1.41/1.63 (assume @p47 (forall @t27 (=> @t25 (exists @t19 @t116)))) % 1.41/1.63 (assume @p48 (forall @t27 (=> @t25 (exists @t19 @t113)))) % 1.41/1.63 (assume @p49 (forall @t34 (exists @t15 @t123))) % 1.41/1.63 (assume @p50 (forall @t34 (=> @t87 (not (tptp.v1_xboole_0 @t61))))) % 1.41/1.63 (assume @p51 @t133) % 1.41/1.63 (assume @p52 @t136) % 1.41/1.63 (assume @p53 (forall @t27 (not (tptp.v1_xboole_0 @t96)))) % 1.41/1.63 (assume @p54 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 1.41/1.63 (assume @p55 (forall @t34 (=> (and @t24 @t22 @t21 @t86 @t70) (not (tptp.v1_xboole_0 @t67))))) % 1.41/1.63 (assume @p56 (forall @t27 (=> (and @t24 @t42 @t108) (and @t138 @t128 @t127 (tptp.v1_binop_1 @t31 @t5) @t137)))) % 1.41/1.63 (assume @p57 (forall @t27 @t140)) % 1.41/1.63 (assume @p58 (forall @t27 (=> (and @t24 @t41 @t108) (and @t138 @t128 @t127 (tptp.v2_binop_1 @t31 @t5) @t137)))) % 1.41/1.63 (assume @p59 (forall @t50 (=> (and @t45 @t79 @t78 @t77 @t76 @t75 @t74) (and (not (tptp.v3_struct_0 @t71)) @t72)))) % 1.41/1.63 (assume @p60 (forall @t27 (and @t140 (tptp.v1_finset_1 @t139) (tptp.v1_realset1 @t139)))) % 1.41/1.63 (assume @p61 (forall @t27 (=> (and @t24 @t40 @t106) (and @t142 @t126 @t125 (tptp.v1_binop_1 @t30 @t5) @t141)))) % 1.41/1.63 (assume @p62 (forall @t34 (=> (and @t45 @t86) (not (tptp.v1_xboole_0 @t48))))) % 1.41/1.63 (assume @p63 (forall @t27 (=> (and @t24 @t39 @t106) (and @t142 @t126 @t125 (tptp.v2_binop_1 @t30 @t5) @t141)))) % 1.41/1.63 (assume @p64 @t144) % 1.41/1.63 (assume @p65 (forall @t50 (=> @t150 (= (tptp.r2_hidden @t2 (tptp.a_2_0_filter_0 @t1 @t4)) (exists @t149 (and @t148 @t146 (tptp.r3_lattices @t1 @t4 @t145))))))) % 1.41/1.63 (assume @p66 (forall @t50 (=> @t150 (= (tptp.r2_hidden @t2 (tptp.a_2_0_filter_2 @t1 @t4)) (exists @t149 (and @t148 @t146 (tptp.r3_lattices @t1 @t145 @t4))))))) % 1.41/1.63 (assume @p67 (forall @t50 (=> @t80 (forall (@list @t145 @t152 @t151) (=> (= @t71 (tptp.g3_lattices @t145 @t152 @t151)) (and @t146 (= @t1 @t152) (= @t4 @t151))))))) % 1.41/1.63 (assume @p68 (exists @t27 (and @t51 @t35))) % 1.41/1.63 (assume @p69 (forall @t27 (=> @t25 (exists @t19 (and @t113 @t86))))) % 1.41/1.63 (assume @p70 (exists @t27 (and @t45 @t46))) % 1.41/1.63 (assume @p71 (forall @t27 (=> @t45 (exists @t19 (and @t153 @t86))))) % 1.41/1.63 (assume @p72 (exists @t27 @t36)) % 1.41/1.63 (assume @p73 (exists @t27 @t53)) % 1.41/1.63 (assume @p74 (exists @t27 (and @t45 @t47))) % 1.41/1.63 (assume @p75 (forall @t27 (exists @t19 (and @t153 @t85)))) % 1.41/1.63 (assume @p76 (exists @t27 @t45)) % 1.41/1.63 (assume @p77 (exists @t27 @t52)) % 1.41/1.63 (assume @p78 (exists @t27 (and @t21 @t32))) % 1.41/1.63 (assume @p79 (exists @t27 (and @t105 @t24))) % 1.41/1.63 (assume @p80 (forall @t27 (=> @t135 (exists @t19 (and @t62 @t86))))) % 1.41/1.63 (assume @p81 (exists @t27 (and @t21 @t24 @t32))) % 1.41/1.63 (assume @p82 (exists @t27 (and @t21 @t24 @t32 @t42 @t41 @t40 @t39 @t38 @t37 @t22))) % 1.41/1.63 (assume @p83 @t155) % 1.41/1.63 (assume @p84 @t157) % 1.41/1.63 (assume @p85 @t159) % 1.41/1.63 (assume @p86 (forall @t27 (=> @t25 (forall @t19 (= @t115 @t112))))) % 1.41/1.63 (assume @p87 (forall @t50 (= @t123 @t129))) % 1.41/1.63 (assume @p88 @t164) % 1.41/1.63 (assume @p89 (forall @t50 (=> @t165 (= (tptp.r3_lattices @t2 @t1 @t4) (tptp.r1_lattices @t2 @t1 @t4))))) % 1.41/1.63 (assume @p90 (forall @t50 (=> @t163 (tptp.r1_filter_2 @t2 @t1 @t1)))) % 1.41/1.63 (assume @p91 (forall @t34 (tptp.r1_tarski @t2 @t2))) % 1.41/1.63 (assume @p92 (forall @t50 (=> @t165 (tptp.r3_lattices @t2 @t1 @t1)))) % 1.41/1.63 (assume @p93 (forall @t50 (=> @t163 (=> @t160 (tptp.r1_filter_2 @t2 @t4 @t1))))) % 1.41/1.63 (assume @p94 (forall @t34 (=> @t33 @t166))) % 1.41/1.63 (assume @p95 (forall @t34 (=> @t166 (or @t85 @t33)))) % 1.41/1.63 (assume @p96 (forall @t34 (=> (forall @t15 (= (tptp.r2_hidden @t4 @t2) (tptp.r2_hidden @t4 @t1))) @t167))) % 1.41/1.63 (assume @p97 @t176) % 1.41/1.63 (assume @p98 @t183) % 1.41/1.63 (assume @p99 @t197) % 1.41/1.63 (assume @p100 (forall @t34 (= (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t1)) (tptp.r1_tarski @t2 @t1)))) % 1.41/1.63 (assume @p101 (forall @t50 (=> (and @t33 @t198) (tptp.m1_subset_1 @t2 @t4)))) % 1.41/1.63 (assume @p102 (forall @t50 (not (and @t33 @t198 @t12)))) % 1.41/1.63 (assume @p103 (forall @t27 (=> @t36 (= @t2 tptp.k1_xboole_0)))) % 1.41/1.63 (assume @p104 (forall @t34 (not (and @t33 @t85)))) % 1.41/1.63 (assume @p105 (forall @t34 (not (and @t36 (not @t167) @t85)))) % 1.41/1.63 (step @p106 :rule aci_norm :args ((= @t205 (or @t23 @t203 @t202 @t201 @t200)))) % 1.41/1.63 (step @p107 :rule cong :premises (@p106) :args (@t206)) % 1.41/1.63 (step @p108 :rule quant-merge-prenex :args ((= (forall @t27 @t208) @t206))) % 1.41/1.63 (step @p109 :rule alpha_equiv :args (@t209 (@list @t199) @t210)) % 1.41/1.63 (step @p110 :rule refl :args (@t202)) % 1.41/1.63 (step @p111 :rule refl :args (@t203)) % 1.41/1.63 (step @p112 :rule refl :args (@t23)) % 1.41/1.63 (step @p113 :rule nary_cong :premises (@p112 @p111 @p110 @p109) :args (@t211)) % 1.41/1.63 (step @p114 :rule quant-miniscope-or :args ((= @t208 @t211))) % 1.41/1.63 (step @p115 :rule trans :premises (@p114 @p113)) % 1.41/1.63 (step @p116 :rule symm :premises (@p115)) % 1.41/1.63 (step @p117 :rule cong :premises (@p116) :args ((forall @t27 @t215))) % 1.41/1.63 (step @p118 :rule trans :premises (@p117 @p108)) % 1.41/1.63 (step @p119 :rule trans :premises (@p118 @p107)) % 1.41/1.63 (step @p120 :rule aci_norm :args ((= (or @t216 @t214) @t215))) % 1.41/1.63 (step @p121 :rule refl :args (@t214)) % 1.41/1.63 (step @p122 :rule bool-double-not-elim :args (@t23)) % 1.41/1.63 (step @p123 :rule nary_cong :premises (@p122 @p111 @p110) :args (@t218)) % 1.41/1.63 (step @p124 :rule aci_norm :args ((= (or @t217 (or @t203 @t202)) @t218))) % 1.41/1.63 (step @p125 :rule trans :premises (@p124 @p123)) % 1.41/1.63 (step @p126 :rule bool-and-de-morgan :args (@t22 @t21 true)) % 1.41/1.63 (step @p127 :rule refl :args (@t217)) % 1.41/1.63 (step @p128 :rule nary_cong :premises (@p127 @p126) :args ((or @t217 (not (and @t22 @t21))))) % 1.41/1.63 (step @p129 :rule bool-and-de-morgan :args (@t24 @t22 (and @t21))) % 1.41/1.63 (step @p130 :rule trans :premises (@p129 @p128)) % 1.41/1.63 (step @p131 :rule trans :premises (@p130 @p125)) % 1.41/1.63 (step @p132 :rule nary_cong :premises (@p131 @p121) :args ((or @t219 @t214))) % 1.41/1.63 (step @p133 :rule trans :premises (@p132 @p120)) % 1.41/1.63 (step @p134 :rule bool-impl-elim :args (@t25 @t214)) % 1.41/1.63 (step @p135 :rule trans :premises (@p134 @p133)) % 1.41/1.63 (step @p136 :rule cong :premises (@p135) :args ((forall @t27 (=> @t25 @t214)))) % 1.41/1.63 (step @p137 :rule trans :premises (@p136 @p119)) % 1.41/1.63 (step @p138 :rule bool-impl-elim :args (@t17 @t212)) % 1.41/1.63 (step @p139 :rule cong :premises (@p138) :args ((forall @t19 (=> @t17 @t212)))) % 1.41/1.63 (step @p140 :rule eq-symm :args (@t56 @t1)) % 1.41/1.63 (step @p141 :rule refl :args (@t17)) % 1.41/1.63 (step @p142 :rule cong :premises (@p141 @p140) :args (@t57)) % 1.41/1.63 (step @p143 :rule cong :premises (@p142) :args (@t58)) % 1.41/1.63 (step @p144 :rule trans :premises (@p143 @p139)) % 1.41/1.63 (step @p145 :rule refl :args (@t25)) % 1.41/1.63 (step @p146 :rule cong :premises (@p145 @p144) :args (@t59)) % 1.41/1.63 (step @p147 :rule cong :premises (@p146) :args (@t60)) % 1.41/1.63 (step @p148 :rule trans :premises (@p147 @p137)) % 1.41/1.63 (step @p149 :rule eq_resolve :premises (@p12 @p148)) % 1.41/1.63 (step @p150 :rule instantiate :premises (@p149) :args (@t232)) % 1.41/1.63 (step @p151 :rule aci_norm :args ((= @t234 @t227))) % 1.41/1.63 (step @p152 :rule cong :premises (@p151) :args (@t235)) % 1.41/1.63 (step @p153 :rule quant-merge-prenex :args ((= (forall @t27 @t237) @t235))) % 1.41/1.63 (step @p154 :rule alpha_equiv :args (@t238 (@list @t220 @t221) (@list @t1 @t239))) % 1.41/1.63 (step @p155 :rule nary_cong :premises (@p112 @p111 @p110 @p154) :args (@t240)) % 1.41/1.63 (step @p156 :rule quant-miniscope-or :args ((= @t237 @t240))) % 1.41/1.63 (step @p157 :rule trans :premises (@p156 @p155)) % 1.41/1.63 (step @p158 :rule symm :premises (@p157)) % 1.41/1.63 (step @p159 :rule cong :premises (@p158) :args ((forall @t27 @t248))) % 1.41/1.63 (step @p160 :rule trans :premises (@p159 @p153)) % 1.41/1.63 (step @p161 :rule trans :premises (@p160 @p152)) % 1.41/1.63 (step @p162 :rule aci_norm :args ((= (or @t216 @t247) @t248))) % 1.41/1.63 (step @p163 :rule refl :args (@t247)) % 1.41/1.63 (step @p164 :rule nary_cong :premises (@p131 @p163) :args ((or @t219 @t247))) % 1.41/1.63 (step @p165 :rule trans :premises (@p164 @p162)) % 1.41/1.63 (step @p166 :rule bool-impl-elim :args (@t25 @t247)) % 1.41/1.63 (step @p167 :rule trans :premises (@p166 @p165)) % 1.41/1.63 (step @p168 :rule cong :premises (@p167) :args ((forall @t27 (=> @t25 @t247)))) % 1.41/1.63 (step @p169 :rule trans :premises (@p168 @p161)) % 1.41/1.63 (step @p170 :rule aci_norm :args ((= @t250 @t245))) % 1.41/1.63 (step @p171 :rule cong :premises (@p170) :args (@t251)) % 1.41/1.63 (step @p172 :rule quant-merge-prenex :args ((= (forall @t19 @t253) @t251))) % 1.41/1.63 (step @p173 :rule alpha_equiv :args (@t254 (@list @t239) @t255)) % 1.41/1.63 (step @p174 :rule refl :args (@t213)) % 1.41/1.63 (step @p175 :rule nary_cong :premises (@p174 @p173) :args (@t256)) % 1.41/1.63 (step @p176 :rule quant-miniscope-or :args ((= @t253 @t256))) % 1.41/1.63 (step @p177 :rule trans :premises (@p176 @p175)) % 1.41/1.63 (step @p178 :rule symm :premises (@p177)) % 1.41/1.63 (step @p179 :rule cong :premises (@p178) :args ((forall @t19 (or @t213 @t260)))) % 1.41/1.63 (step @p180 :rule trans :premises (@p179 @p172)) % 1.41/1.63 (step @p181 :rule trans :premises (@p180 @p171)) % 1.41/1.63 (step @p182 :rule bool-impl-elim :args (@t17 @t260)) % 1.41/1.63 (step @p183 :rule cong :premises (@p182) :args ((forall @t19 (=> @t17 @t260)))) % 1.41/1.63 (step @p184 :rule trans :premises (@p183 @p181)) % 1.41/1.63 (step @p185 :rule aci_norm :args ((= (or @t261 (or @t257 @t6)) @t259))) % 1.41/1.63 (step @p186 :rule bool-impl-elim :args (@t8 @t6)) % 1.41/1.63 (step @p187 :rule refl :args (@t258)) % 1.41/1.63 (step @p188 :rule bool-double-not-elim :args (@t12)) % 1.41/1.63 (step @p189 :rule nary_cong :premises (@p188 @p187) :args ((or @t262 @t258))) % 1.41/1.63 (step @p190 :rule bool-and-de-morgan :args (@t13 @t11 true)) % 1.41/1.63 (step @p191 :rule trans :premises (@p190 @p189)) % 1.41/1.63 (step @p192 :rule nary_cong :premises (@p191 @p186) :args ((or @t263 @t9))) % 1.41/1.63 (step @p193 :rule trans :premises (@p192 @p185)) % 1.41/1.63 (step @p194 :rule bool-impl-elim :args (@t14 @t9)) % 1.41/1.63 (step @p195 :rule trans :premises (@p194 @p193)) % 1.41/1.63 (step @p196 :rule cong :premises (@p195) :args (@t16)) % 1.41/1.63 (step @p197 :rule cong :premises (@p141 @p196) :args (@t18)) % 1.41/1.63 (step @p198 :rule cong :premises (@p197) :args (@t20)) % 1.41/1.63 (step @p199 :rule trans :premises (@p198 @p184)) % 1.41/1.63 (step @p200 :rule cong :premises (@p145 @p199) :args (@t26)) % 1.41/1.63 (step @p201 :rule cong :premises (@p200) :args (@t28)) % 1.41/1.63 (step @p202 :rule trans :premises (@p201 @p169)) % 1.41/1.63 (step @p203 :rule cong :premises (@p202) :args (@t29)) % 1.41/1.63 (step @p204 :rule eq_resolve :premises (@p1 @p203)) % 1.41/1.63 (step @p205 :rule skolemize :premises (@p204)) % 1.41/1.63 (step @p206 :rule bool-double-not-elim :args (@t265)) % 1.41/1.63 (step @p207 :rule refl :args (@t283)) % 1.41/1.63 (step @p208 :rule nary_cong :premises (@p207 @p206) :args ((or @t283 (not @t277)))) % 1.41/1.63 (step @p209 :rule cnf_or_neg :args (@t283 3)) % 1.41/1.63 (step @p210 :rule eq_resolve :premises (@p209 @p208)) % 1.41/1.63 (step @p211 :rule reordering :premises (@p210) :args ((or @t265 @t283))) % 1.41/1.63 (step @p212 :rule chain_m_resolution :premises (@p211 @p205) :args (@t265 @t284 @t285)) % 1.41/1.63 (step @p213 :rule bool-double-not-elim :args (@t278)) % 1.41/1.63 (step @p214 :rule nary_cong :premises (@p207 @p213) :args ((or @t283 (not @t279)))) % 1.41/1.63 (step @p215 :rule cnf_or_neg :args (@t283 2)) % 1.41/1.63 (step @p216 :rule eq_resolve :premises (@p215 @p214)) % 1.41/1.63 (step @p217 :rule reordering :premises (@p216) :args ((or @t278 @t283))) % 1.41/1.63 (step @p218 :rule chain_m_resolution :premises (@p217 @p205) :args (@t278 @t284 @t285)) % 1.41/1.63 (step @p219 :rule bool-double-not-elim :args (@t280)) % 1.41/1.63 (step @p220 :rule nary_cong :premises (@p207 @p219) :args ((or @t283 (not @t281)))) % 1.41/1.63 (step @p221 :rule cnf_or_neg :args (@t283 1)) % 1.41/1.63 (step @p222 :rule eq_resolve :premises (@p221 @p220)) % 1.41/1.63 (step @p223 :rule reordering :premises (@p222) :args ((or @t280 @t283))) % 1.41/1.63 (step @p224 :rule chain_m_resolution :premises (@p223 @p205) :args (@t280 @t284 @t285)) % 1.41/1.63 (step @p225 :rule cnf_or_neg :args (@t283 0)) % 1.41/1.63 (step @p226 :rule chain_m_resolution :premises (@p225 @p205) :args ((not @t282) @t284 @t285)) % 1.41/1.63 (step @p227 :rule cnf_or_pos :args (@t288)) % 1.41/1.63 (step @p228 :rule reordering :premises (@p227) :args ((or @t282 @t281 @t279 @t277 @t287 (not @t288)))) % 1.41/1.63 (step @p229 :rule chain_m_resolution :premises (@p228 @p226 @p224 @p218 @p212 @p150) :args (@t287 @t289 (@list @t282 @t280 @t278 @t265 @t288))) % 1.41/1.63 (step @p230 :rule aci_norm :args ((= @t294 (or @t23 @t203 @t202 @t292 @t291)))) % 1.41/1.63 (step @p231 :rule cong :premises (@p230) :args (@t295)) % 1.41/1.63 (step @p232 :rule quant-merge-prenex :args ((= (forall @t27 @t297) @t295))) % 1.41/1.63 (step @p233 :rule alpha_equiv :args (@t298 (@list @t290) @t210)) % 1.41/1.63 (step @p234 :rule nary_cong :premises (@p112 @p111 @p110 @p233) :args (@t299)) % 1.41/1.63 (step @p235 :rule quant-miniscope-or :args ((= @t297 @t299))) % 1.41/1.63 (step @p236 :rule trans :premises (@p235 @p234)) % 1.41/1.63 (step @p237 :rule symm :premises (@p236)) % 1.41/1.63 (step @p238 :rule cong :premises (@p237) :args ((forall @t27 @t303))) % 1.41/1.63 (step @p239 :rule trans :premises (@p238 @p232)) % 1.41/1.63 (step @p240 :rule trans :premises (@p239 @p231)) % 1.41/1.63 (step @p241 :rule aci_norm :args ((= (or @t216 @t302) @t303))) % 1.41/1.63 (step @p242 :rule refl :args (@t302)) % 1.41/1.63 (step @p243 :rule nary_cong :premises (@p131 @p242) :args ((or @t219 @t302))) % 1.41/1.63 (step @p244 :rule trans :premises (@p243 @p241)) % 1.41/1.63 (step @p245 :rule bool-impl-elim :args (@t25 @t302)) % 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% 1.41/1.63 (step @p665 :rule aci_norm :args (@t470)) % 1.41/1.63 (step @p666 :rule cong :premises (@p665) :args (@t471)) % 1.41/1.63 (step @p667 :rule quant-merge-prenex :args (@t474)) % 1.41/1.63 (step @p668 :rule alpha_equiv :args (@t475 @t476 @t210)) % 1.41/1.63 (step @p669 :rule nary_cong :premises (@p112 @p111 @p110 @p668) :args (@t477)) % 1.41/1.63 (step @p670 :rule quant-miniscope-or :args (@t478)) % 1.41/1.63 (step @p671 :rule trans :premises (@p670 @p669)) % 1.41/1.63 (step @p672 :rule symm :premises (@p671)) % 1.41/1.63 (step @p673 :rule cong :premises (@p672) :args (@t485)) % 1.41/1.63 (step @p674 :rule trans :premises (@p673 @p667)) % 1.41/1.63 (step @p675 :rule trans :premises (@p674 @p666)) % 1.41/1.63 (step @p676 :rule aci_norm :args (@t486)) % 1.41/1.63 (step @p677 :rule refl :args (@t483)) % 1.41/1.63 (step @p678 :rule nary_cong :premises (@p131 @p677) :args (@t487)) % 1.41/1.63 (step @p679 :rule trans :premises (@p678 @p676)) % 1.41/1.63 (step @p680 :rule bool-impl-elim :args (@t25 @t483)) % 1.41/1.63 (step @p681 :rule trans :premises (@p680 @p679)) % 1.41/1.63 (step @p682 :rule cong :premises (@p681) :args (@t488)) % 1.41/1.63 (step @p683 :rule trans :premises (@p682 @p675)) % 1.41/1.63 (step @p684 :rule aci_norm :args (@t490)) % 1.41/1.63 (step @p685 :rule bool-impl-elim :args (@t17 @t489)) % 1.41/1.63 (step @p686 :rule trans :premises (@p685 @p684)) % 1.41/1.63 (step @p687 :rule cong :premises (@p686) :args (@t491)) % 1.41/1.63 (step @p688 :rule aci_norm :args (@t492)) % 1.41/1.63 (step @p689 :rule refl :args (@t479)) % 1.41/1.63 (step @p690 :rule evaluate :args (@t493)) % 1.41/1.63 (step @p691 :rule eq-refl :args (@t7)) % 1.41/1.63 (step @p692 :rule cong :premises (@p691) :args (@t494)) % 1.41/1.63 (step @p693 :rule trans :premises (@p692 @p690)) % 1.41/1.63 (step @p694 :rule refl :args (@t480)) % 1.41/1.63 (step @p695 :rule refl :args (@t481)) % 1.41/1.63 (step @p696 :rule nary_cong :premises (@p695 @p694 @p693 @p689) :args (@t495)) % 1.41/1.63 (step @p697 :rule trans :premises (@p696 @p688)) % 1.41/1.63 (step @p698 :rule quant-var-elim-eq :args (@t499)) % 1.41/1.63 (step @p699 :rule aci_norm :args (@t501)) % 1.41/1.63 (step @p700 :rule cong :premises (@p699) :args (@t502)) % 1.41/1.63 (step @p701 :rule trans :premises (@p700 @p698)) % 1.41/1.63 (step @p702 :rule trans :premises (@p701 @p697)) % 1.41/1.63 (step @p703 :rule aci_norm :args (@t503)) % 1.41/1.63 (step @p704 :rule bool-impl-elim :args (@t169 @t496)) % 1.41/1.63 (step @p705 :rule nary_cong :premises (@p191 @p704) :args (@t505)) % 1.41/1.63 (step @p706 :rule trans :premises (@p705 @p703)) % 1.41/1.64 (step @p707 :rule bool-impl-elim :args (@t14 @t504)) % 1.41/1.64 (step @p708 :rule trans :premises (@p707 @p706)) % 1.41/1.64 (step @p709 :rule cong :premises (@p708) :args (@t506)) % 1.41/1.64 (step @p710 :rule trans :premises (@p709 @p702)) % 1.41/1.64 (step @p711 :rule eq-symm :args (@t168 @t55)) % 1.41/1.64 (step @p712 :rule refl :args (@t169)) % 1.41/1.64 (step @p713 :rule cong :premises (@p712 @p711) :args (@t170)) % 1.41/1.64 (step @p714 :rule refl :args (@t14)) % 1.41/1.64 (step @p715 :rule cong :premises (@p714 @p713) :args (@t171)) % 1.41/1.64 (step @p716 :rule cong :premises (@p715) :args (@t172)) % 1.41/1.64 (step @p717 :rule trans :premises (@p716 @p710)) % 1.41/1.64 (step @p718 :rule cong :premises (@p141 @p717) :args (@t173)) % 1.41/1.64 (step @p719 :rule cong :premises (@p718) :args (@t174)) % 1.41/1.64 (step @p720 :rule trans :premises (@p719 @p687)) % 1.41/1.64 (step @p721 :rule cong :premises (@p145 @p720) :args (@t175)) % 1.41/1.64 (step @p722 :rule cong :premises (@p721) :args (@t176)) % 1.41/1.64 (step @p723 :rule trans :premises (@p722 @p683)) % 1.41/1.64 (step @p724 :rule eq_resolve :premises (@p97 @p723)) % 1.41/1.64 (step @p725 :rule instantiate :premises (@p724) :args (@t344)) % 1.41/1.64 (step @p726 :rule symm :premises (@p498)) % 1.41/1.64 (step @p727 :rule symm :premises (@p454)) % 1.41/1.64 (step @p728 :rule symm :premises (@p229)) % 1.41/1.64 (step @p729 :rule cong :premises (@p728) :args (@t507)) % 1.41/1.64 (step @p749 :rule trans :premises (@p748 @p729 @p727 @p726)) % 1.41/1.64 (step @p750 :rule trans :premises (@p749 @p269)) % 1.41/1.64 (step @p751 :rule cong :premises (@p750 @p596) :args (@t533)) % 1.41/1.64 (step @p752 :rule trans :premises (@p751 @p595)) % 1.41/1.64 (step @p753 :rule true_elim :premises (@p752)) % 1.41/1.64 (step @p754 :rule false_intro :premises (@p601)) % 1.41/1.64 (step @p755 :rule cong :premises (@p749) :args (@t534)) % 1.41/1.64 (step @p756 :rule trans :premises (@p755 @p754)) % 1.41/1.64 (step @p757 :rule false_elim :premises (@p756)) % 1.41/1.64 (step @p758 :rule cnf_or_pos :args (@t537)) % 1.41/1.64 (step @p759 :rule reordering :premises (@p758) :args (@t538)) % 1.41/1.64 (step @p760 :rule chain_m_resolution :premises (@p759 @p401 @p383 @p368 @p358 @p757 @p753 @p725) :args (@t535 @t539 @t540)) % 1.41/1.64 (assume-push @p953 @t287) % 1.41/1.64 (assume-push @p954 @t306) % 1.41/1.64 (assume-push @p955 @t376) % 1.41/1.64 (assume-push @p956 @t384) % 1.41/1.64 (assume-push @p957 @t324) % 1.41/1.64 (assume-push @p958 @t437) % 1.41/1.64 (assume-push @p959 @t345) % 1.41/1.64 (assume-push @p960 @t557) % 1.41/1.64 (assume-push @p961 @t529) % 1.41/1.64 (assume-push @p962 @t535) % 1.41/1.64 (step @p663 :rule symm :premises (@p307)) % 1.41/1.64 (step @p664 :rule symm :premises (@p404)) % 1.41/1.64 (step @p761 :rule symm :premises (@p760)) % 1.41/1.64 (step @p762 :rule symm :premises (@p748)) % 1.41/1.64 (step @p763 :rule cong :premises (@p229) :args (@t375)) % 1.41/1.64 (step @p764 :rule symm :premises (@p269)) % 1.41/1.64 (step @p765 :rule trans :premises (@p764 @p498 @p454 @p763 @p762)) % 1.41/1.64 (step @p766 :rule refl :args (@t322)) % 1.41/1.64 (step @p767 :rule cong :premises (@p766 @p765) :args (@t541)) % 1.41/1.64 (step @p768 :rule cong :premises (@p766 @p269) :args (@t542)) % 1.41/1.64 (step @p811 :rule cong :premises (@p766 @p764) :args (@t436)) % 1.41/1.64 (step @p908 :rule trans :premises (@p608 @p811 @p897 @p768 @p767 @p761 @p664 @p663)) % 1.41/1.64 (step-pop @p963 :rule scope :premises (@p908)) % 1.41/1.64 (step-pop @p964 :rule scope :premises (@p963)) % 1.41/1.64 (step-pop @p965 :rule scope :premises (@p964)) % 1.41/1.64 (step-pop @p966 :rule scope :premises (@p965)) % 1.41/1.64 (step-pop @p967 :rule scope :premises (@p966)) % 1.41/1.64 (step-pop @p968 :rule scope :premises (@p967)) % 1.41/1.64 (step-pop @p969 :rule scope :premises (@p968)) % 1.41/1.64 (step-pop @p970 :rule scope :premises (@p969)) % 1.41/1.64 (step-pop @p971 :rule scope :premises (@p970)) % 1.41/1.64 (step-pop @p972 :rule scope :premises (@p971)) % 1.41/1.64 (step @p909 :rule process_scope :premises (@p972) :args (@t442)) % 1.41/1.64 (step @p920 :rule implies_elim :premises (@p909)) % 1.41/1.64 (step @p921 :rule cnf_and_neg :args (@t586)) % 1.41/1.64 (step @p922 :rule resolution :premises (@p921 @p920) :args (true @t586)) % 1.41/1.64 (step @p923 :rule reordering :premises (@p922) :args ((or @t442 (not @t287) (not @t306) (not @t376) (not @t384) (not @t324) (not @t437) (not @t345) (not @t557) (not @t529) (not @t535)))) % 1.41/1.64 (step @p924 false :rule chain_m_resolution :premises (@p923 @p760 @p748 @p897 @p894 @p608 @p498 @p454 @p404 @p307 @p269 @p229) :args (false (@list false false false true false false false false false false false) (@list @t535 @t529 @t557 @t442 @t437 @t384 @t376 @t345 @t324 @t306 @t287))) % 1.41/1.64 ) % 1.41/1.64 % SZS output end Proof % 1.41/1.64 % cvc5 exiting %------------------------------------------------------------------------------