%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT332+1 : TPTP v9.2.1. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n029.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 08:30:21 AM UTC 2026 % Result : Theorem 35.76s 35.93s % Output : Proof 35.76s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT332+1 : TPTP v9.2.1. Released v3.4.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n029.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 06:33:17 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 35.76/35.93 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 35.76/35.93 --- Run --no-e-matching --full-saturate-quant at 6... % 35.76/35.93 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 35.76/35.93 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 35.76/35.93 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 35.76/35.93 % SZS status Theorem % 35.76/35.93 % SZS output start Proof % 35.76/35.93 ( % 35.76/35.93 (declare-sort $$unsorted 0) % 35.76/35.93 (declare-const tptp.r1_filter_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.76/35.93 (declare-const tptp.k1_relat_1 (-> $$unsorted $$unsorted)) % 35.76/35.93 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.76/35.93 (declare-const tptp.m1_filter_0 (-> $$unsorted $$unsorted Bool)) % 35.76/35.93 (declare-const tptp.m2_filter_2 (-> $$unsorted $$unsorted Bool)) % 35.76/35.93 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.76/35.93 (declare-const tptp.k7_relat_1 (-> $$unsorted $$unsorted $$unsorted)) % 35.76/35.93 (declare-const tptp.k1_filter_0 (-> $$unsorted $$unsorted)) % 35.76/35.93 (declare-const tptp.v1_binop_1 (-> $$unsorted $$unsorted Bool)) % 35.76/35.93 (declare-const tptp.k4_relset_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.76/35.93 (declare-const tptp.k1_xboole_0 $$unsorted) % 35.76/35.93 (declare-const tptp.m2_lattice4 (-> $$unsorted $$unsorted Bool)) % 35.76/35.93 (declare-const tptp.u2_lattices (-> $$unsorted $$unsorted)) % 35.76/35.93 (declare-const tptp.v2_binop_1 (-> $$unsorted $$unsorted Bool)) % 35.76/35.93 (declare-const tptp.k8_relset_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.76/35.93 (declare-const tptp.v3_lattices (-> $$unsorted Bool)) % 35.76/35.93 (declare-const tptp.l1_lattices (-> $$unsorted Bool)) % 35.76/35.93 (declare-const tptp.k1_realset1 (-> $$unsorted $$unsorted $$unsorted)) % 35.76/35.93 (declare-const tptp.v10_lattices (-> $$unsorted Bool)) % 35.76/35.93 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 35.76/35.93 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 35.76/35.93 (declare-const tptp.l3_lattices (-> $$unsorted Bool)) % 35.76/35.93 (declare-const tptp.m2_nat_lat (-> $$unsorted $$unsorted Bool)) % 35.76/35.93 (declare-const tptp.k17_filter_2 (-> $$unsorted $$unsorted)) % 35.76/35.93 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.76/35.93 (declare-const tptp.m1_filter_2 (-> $$unsorted $$unsorted Bool)) % 35.76/35.93 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 35.76/35.93 (declare-const tptp.k1_filter_2 (-> $$unsorted $$unsorted)) % 35.76/35.93 (declare-const tptp.g3_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.76/35.93 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 35.76/35.93 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 35.76/35.93 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 35.76/35.93 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 35.76/35.93 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.76/35.93 (declare-const tptp.k23_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 35.76/35.93 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 35.76/35.93 (declare-const tptp.l2_lattices (-> $$unsorted Bool)) % 35.76/35.93 (declare-const tptp.u1_lattices (-> $$unsorted $$unsorted)) % 35.76/35.93 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 35.76/35.93 (declare-const tptp.v9_lattices (-> $$unsorted Bool)) % 35.76/35.93 (declare-const tptp.v8_lattices (-> $$unsorted Bool)) % 35.76/35.93 (declare-const tptp.v7_lattices (-> $$unsorted Bool)) % 35.76/35.93 (declare-const tptp.v6_lattices (-> $$unsorted Bool)) % 35.76/35.93 (declare-const tptp.v5_lattices (-> $$unsorted Bool)) % 35.76/35.93 (declare-const tptp.v4_lattices (-> $$unsorted Bool)) % 35.76/35.93 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 35.76/35.93 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 35.76/35.93 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 35.76/35.93 (define @t1 () (@var "A" $$unsorted)) % 35.76/35.93 (define @t2 () (tptp.u1_lattices @t1)) % 35.76/35.93 (define @t3 () (tptp.u2_lattices @t1)) % 35.76/35.93 (define @t4 () (tptp.u1_struct_0 @t1)) % 35.76/35.93 (define @t5 () (tptp.g3_lattices @t4 @t3 @t2)) % 35.76/35.93 (define @t6 () (tptp.k1_filter_2 @t1)) % 35.76/35.93 (define @t7 () (tptp.k23_filter_2 @t1 @t6)) % 35.76/35.93 (define @t8 () (tptp.k17_filter_2 @t1)) % 35.76/35.93 (define @t9 () (tptp.k23_filter_2 @t1 @t8)) % 35.76/35.93 (define @t10 () (and (= @t9 @t5) (= @t7 @t5))) % 35.76/35.93 (define @t11 () (tptp.l3_lattices @t1)) % 35.76/35.93 (define @t12 () (tptp.v10_lattices @t1)) % 35.76/35.93 (define @t13 () (tptp.v3_struct_0 @t1)) % 35.76/35.93 (define @t14 () (not @t13)) % 35.76/35.93 (define @t15 () (and @t14 @t12 @t11)) % 35.76/35.93 (define @t16 () (=> @t15 @t10)) % 35.76/35.93 (define @t17 () (@list @t1)) % 35.76/35.93 (define @t18 () (forall @t17 @t16)) % 35.76/35.93 (define @t19 () (not @t18)) % 35.76/35.93 (define @t20 () (tptp.v3_lattices @t1)) % 35.76/35.93 (define @t21 () (@var "B" $$unsorted)) % 35.76/35.93 (define @t22 () (tptp.r2_hidden @t1 @t21)) % 35.76/35.93 (define @t23 () (@list @t1 @t21)) % 35.76/35.93 (define @t24 () (tptp.v1_funct_1 @t1)) % 35.76/35.93 (define @t25 () (tptp.v1_xboole_0 @t1)) % 35.76/35.93 (define @t26 () (tptp.v9_lattices @t1)) % 35.76/35.93 (define @t27 () (tptp.v8_lattices @t1)) % 35.76/35.93 (define @t28 () (tptp.v7_lattices @t1)) % 35.76/35.93 (define @t29 () (tptp.v6_lattices @t1)) % 35.76/35.93 (define @t30 () (tptp.v5_lattices @t1)) % 35.76/35.93 (define @t31 () (tptp.v4_lattices @t1)) % 35.76/35.93 (define @t32 () (and @t14 @t31 @t30 @t29 @t28 @t27 @t26)) % 35.76/35.93 (define @t33 () (and @t14 @t12)) % 35.76/35.93 (define @t34 () (=> @t33 @t32)) % 35.76/35.93 (define @t35 () (forall @t17 (=> @t11 @t34))) % 35.76/35.93 (define @t36 () (@var "C" $$unsorted)) % 35.76/35.93 (define @t37 () (tptp.k2_zfmisc_1 @t1 @t21)) % 35.76/35.93 (define @t38 () (tptp.m1_subset_1 @t36 (tptp.k1_zfmisc_1 @t37))) % 35.76/35.93 (define @t39 () (@list @t1 @t21 @t36)) % 35.76/35.93 (define @t40 () (tptp.v1_relat_1 @t1)) % 35.76/35.93 (define @t41 () (and @t40 @t24 (tptp.v2_funct_1 @t1))) % 35.76/35.93 (define @t42 () (and @t40 @t25 @t24)) % 35.76/35.93 (define @t43 () (@var "E" $$unsorted)) % 35.76/35.93 (define @t44 () (@var "D" $$unsorted)) % 35.76/35.93 (define @t45 () (= @t36 (tptp.g3_lattices @t21 @t44 @t43))) % 35.76/35.93 (define @t46 () (tptp.k1_realset1 @t2 @t21)) % 35.76/35.93 (define @t47 () (= @t43 @t46)) % 35.76/35.93 (define @t48 () (tptp.k1_realset1 @t3 @t21)) % 35.76/35.93 (define @t49 () (= @t44 @t48)) % 35.76/35.93 (define @t50 () (tptp.k2_zfmisc_1 @t21 @t21)) % 35.76/35.93 (define @t51 () (tptp.m2_relset_1 @t43 @t50 @t21)) % 35.76/35.93 (define @t52 () (tptp.v1_funct_2 @t43 @t50 @t21)) % 35.76/35.93 (define @t53 () (tptp.v1_funct_1 @t43)) % 35.76/35.93 (define @t54 () (and @t53 @t52 @t51 @t49 @t47 @t45)) % 35.76/35.93 (define @t55 () (@list @t43)) % 35.76/35.93 (define @t56 () (exists @t55 @t54)) % 35.76/35.93 (define @t57 () (tptp.m2_relset_1 @t44 @t50 @t21)) % 35.76/35.93 (define @t58 () (tptp.v1_funct_2 @t44 @t50 @t21)) % 35.76/35.93 (define @t59 () (tptp.v1_funct_1 @t44)) % 35.76/35.93 (define @t60 () (and @t59 @t58 @t57 @t56)) % 35.76/35.93 (define @t61 () (@list @t44)) % 35.76/35.93 (define @t62 () (exists @t61 @t60)) % 35.76/35.93 (define @t63 () (tptp.k23_filter_2 @t1 @t21)) % 35.76/35.93 (define @t64 () (= @t36 @t63)) % 35.76/35.93 (define @t65 () (= @t64 @t62)) % 35.76/35.93 (define @t66 () (tptp.m2_nat_lat @t36 @t1)) % 35.76/35.93 (define @t67 () (=> @t66 @t65)) % 35.76/35.93 (define @t68 () (@list @t36)) % 35.76/35.93 (define @t69 () (forall @t68 @t67)) % 35.76/35.93 (define @t70 () (tptp.m2_lattice4 @t21 @t1)) % 35.76/35.93 (define @t71 () (tptp.v1_xboole_0 @t21)) % 35.76/35.93 (define @t72 () (not @t71)) % 35.76/35.93 (define @t73 () (and @t72 @t70)) % 35.76/35.93 (define @t74 () (=> @t73 @t69)) % 35.76/35.93 (define @t75 () (@list @t21)) % 35.76/35.93 (define @t76 () (forall @t75 @t74)) % 35.76/35.93 (define @t77 () (=> @t15 @t76)) % 35.76/35.93 (define @t78 () (forall @t17 @t77)) % 35.76/35.93 (define @t79 () (tptp.v1_funct_2 @t36 @t1 @t21)) % 35.76/35.93 (define @t80 () (= @t79 (= @t36 tptp.k1_xboole_0))) % 35.76/35.93 (define @t81 () (= @t1 tptp.k1_xboole_0)) % 35.76/35.93 (define @t82 () (or @t81 @t80)) % 35.76/35.93 (define @t83 () (= @t21 tptp.k1_xboole_0)) % 35.76/35.93 (define @t84 () (tptp.k4_relset_1 @t1 @t21 @t36)) % 35.76/35.93 (define @t85 () (= @t79 (= @t1 @t84))) % 35.76/35.93 (define @t86 () (=> @t83 @t81)) % 35.76/35.93 (define @t87 () (and (=> @t86 @t85) (=> @t83 @t82))) % 35.76/35.93 (define @t88 () (tptp.m2_relset_1 @t36 @t1 @t21)) % 35.76/35.93 (define @t89 () (forall @t39 (=> @t88 @t87))) % 35.76/35.93 (define @t90 () (tptp.k1_filter_0 @t1)) % 35.76/35.93 (define @t91 () (=> @t15 (= @t90 @t4))) % 35.76/35.93 (define @t92 () (forall @t17 @t91)) % 35.76/35.93 (define @t93 () (tptp.k1_realset1 @t1 @t21)) % 35.76/35.93 (define @t94 () (forall @t75 (= @t93 (tptp.k7_relat_1 @t1 @t50)))) % 35.76/35.93 (define @t95 () (forall @t17 (=> @t40 @t94))) % 35.76/35.93 (define @t96 () (=> @t15 (= @t8 @t4))) % 35.76/35.93 (define @t97 () (forall @t17 @t96)) % 35.76/35.93 (define @t98 () (tptp.g3_lattices @t1 @t21 @t36)) % 35.76/35.93 (define @t99 () (tptp.v3_lattices @t98)) % 35.76/35.93 (define @t100 () (tptp.k2_zfmisc_1 @t1 @t1)) % 35.76/35.93 (define @t101 () (tptp.m1_relset_1 @t36 @t100 @t1)) % 35.76/35.93 (define @t102 () (tptp.v1_funct_2 @t36 @t100 @t1)) % 35.76/35.93 (define @t103 () (tptp.v1_funct_1 @t36)) % 35.76/35.93 (define @t104 () (tptp.m1_relset_1 @t21 @t100 @t1)) % 35.76/35.93 (define @t105 () (tptp.v1_funct_2 @t21 @t100 @t1)) % 35.76/35.93 (define @t106 () (tptp.v1_funct_1 @t21)) % 35.76/35.93 (define @t107 () (and @t106 @t105 @t104 @t103 @t102 @t101)) % 35.76/35.93 (define @t108 () (tptp.m1_filter_2 @t6 @t1)) % 35.76/35.93 (define @t109 () (forall @t17 (=> @t15 @t108))) % 35.76/35.93 (define @t110 () (tptp.m2_nat_lat @t63 @t1)) % 35.76/35.93 (define @t111 () (and @t14 @t12 @t11 @t72 @t70)) % 35.76/35.93 (define @t112 () (forall @t23 (=> @t111 @t110))) % 35.76/35.93 (define @t113 () (tptp.k1_zfmisc_1 @t1)) % 35.76/35.93 (define @t114 () (tptp.m1_subset_1 @t84 @t113)) % 35.76/35.93 (define @t115 () (tptp.m1_relset_1 @t36 @t1 @t21)) % 35.76/35.93 (define @t116 () (forall @t39 (=> @t115 @t114))) % 35.76/35.93 (define @t117 () (tptp.k7_relat_1 @t1 @t21)) % 35.76/35.93 (define @t118 () (tptp.v1_relat_1 @t117)) % 35.76/35.93 (define @t119 () (tptp.k8_relset_1 @t1 @t21 @t36 @t44)) % 35.76/35.93 (define @t120 () (@list @t1 @t21 @t36 @t44)) % 35.76/35.93 (define @t121 () (tptp.l1_struct_0 @t1)) % 35.76/35.93 (define @t122 () (tptp.l1_lattices @t1)) % 35.76/35.93 (define @t123 () (forall @t17 (=> @t122 @t121))) % 35.76/35.93 (define @t124 () (tptp.l2_lattices @t1)) % 35.76/35.93 (define @t125 () (and @t122 @t124)) % 35.76/35.93 (define @t126 () (forall @t17 (=> @t11 @t125))) % 35.76/35.93 (define @t127 () (tptp.m1_subset_1 @t21 (tptp.k1_zfmisc_1 @t4))) % 35.76/35.93 (define @t128 () (tptp.m1_filter_0 @t21 @t1)) % 35.76/35.93 (define @t129 () (tptp.m1_filter_2 @t21 @t1)) % 35.76/35.93 (define @t130 () (forall @t75 (=> @t129 @t73))) % 35.76/35.93 (define @t131 () (=> @t15 @t130)) % 35.76/35.93 (define @t132 () (forall @t17 @t131)) % 35.76/35.93 (define @t133 () (tptp.m2_filter_2 @t21 @t1)) % 35.76/35.93 (define @t134 () (tptp.v10_lattices @t21)) % 35.76/35.93 (define @t135 () (not (tptp.v3_struct_0 @t21))) % 35.76/35.93 (define @t136 () (tptp.m2_nat_lat @t21 @t1)) % 35.76/35.93 (define @t137 () (tptp.k2_zfmisc_1 @t4 @t4)) % 35.76/35.93 (define @t138 () (tptp.v1_funct_2 @t2 @t137 @t4)) % 35.76/35.93 (define @t139 () (tptp.v1_funct_1 @t2)) % 35.76/35.93 (define @t140 () (and @t139 @t138 (tptp.m2_relset_1 @t2 @t137 @t4))) % 35.76/35.93 (define @t141 () (forall @t17 (=> @t122 @t140))) % 35.76/35.93 (define @t142 () (tptp.v1_funct_2 @t3 @t137 @t4)) % 35.76/35.93 (define @t143 () (tptp.v1_funct_1 @t3)) % 35.76/35.93 (define @t144 () (and @t143 @t142 (tptp.m2_relset_1 @t3 @t137 @t4))) % 35.76/35.93 (define @t145 () (forall @t17 (=> @t124 @t144))) % 35.76/35.93 (define @t146 () (tptp.v1_relat_1 @t93)) % 35.76/35.93 (define @t147 () (not (tptp.v1_xboole_0 @t4))) % 35.76/35.93 (define @t148 () (and @t14 @t121)) % 35.76/35.93 (define @t149 () (forall @t17 (=> @t148 @t147))) % 35.76/35.93 (define @t150 () (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 35.76/35.93 (define @t151 () (tptp.v1_partfun1 @t3 @t137 @t4)) % 35.76/35.93 (define @t152 () (tptp.v1_relat_1 @t3)) % 35.76/35.93 (define @t153 () (and @t152 @t143 @t142 (tptp.v1_binop_1 @t3 @t4) @t151)) % 35.76/35.93 (define @t154 () (and @t14 @t31 @t124)) % 35.76/35.93 (define @t155 () (forall @t17 (=> @t154 @t153))) % 35.76/35.93 (define @t156 () (and @t40 @t24)) % 35.76/35.93 (define @t157 () (not @t25)) % 35.76/35.93 (define @t158 () (tptp.v1_partfun1 @t2 @t137 @t4)) % 35.76/35.93 (define @t159 () (tptp.v1_relat_1 @t2)) % 35.76/35.93 (define @t160 () (and @t159 @t139 @t138 (tptp.v1_binop_1 @t2 @t4) @t158)) % 35.76/35.93 (define @t161 () (and @t14 @t29 @t122)) % 35.76/35.93 (define @t162 () (forall @t17 (=> @t161 @t160))) % 35.76/35.93 (define @t163 () (@var "F" $$unsorted)) % 35.76/35.93 (define @t164 () (tptp.m1_subset_1 @t21 @t113)) % 35.76/35.93 (define @t165 () (= @t6 @t90)) % 35.76/35.93 (define @t166 () (forall @t17 (=> @t15 @t165))) % 35.76/35.93 (define @t167 () (= @t84 (tptp.k1_relat_1 @t36))) % 35.76/35.93 (define @t168 () (forall @t39 (=> @t115 @t167))) % 35.76/35.93 (define @t169 () (forall @t39 (= @t88 @t115))) % 35.76/35.93 (define @t170 () (tptp.r1_filter_2 @t1 @t21 @t36)) % 35.76/35.93 (define @t171 () (and @t157 @t164 (tptp.m1_subset_1 @t36 @t113))) % 35.76/35.93 (define @t172 () (tptp.m1_subset_1 @t1 @t21)) % 35.76/35.93 (define @t173 () (tptp.m1_subset_1 @t21 (tptp.k1_zfmisc_1 @t36))) % 35.76/35.93 (define @t174 () (tptp.k7_relat_1 @t21 @t1)) % 35.76/35.93 (define @t175 () (tptp.r1_tarski (tptp.k1_relat_1 @t21) @t1)) % 35.76/35.93 (define @t176 () (=> @t175 (= @t174 @t21))) % 35.76/35.93 (define @t177 () (tptp.v1_relat_1 @t21)) % 35.76/35.93 (define @t178 () (=> @t177 @t176)) % 35.76/35.93 (define @t179 () (forall @t23 @t178)) % 35.76/35.93 (define @t180 () (and (= @t5 @t9) (= @t5 @t7))) % 35.76/35.93 (define @t181 () (not @t11)) % 35.76/35.93 (define @t182 () (not @t12)) % 35.76/35.93 (define @t183 () (or @t13 @t182 @t181 @t180)) % 35.76/35.93 (define @t184 () (or @t13 @t182 @t181)) % 35.76/35.93 (define @t185 () (not @t14)) % 35.76/35.93 (define @t186 () (or @t185 @t182 @t181)) % 35.76/35.93 (define @t187 () (not @t15)) % 35.76/35.93 (define @t188 () (@quantifiers_skolemize (forall @t17 @t183) 0)) % 35.76/35.93 (define @t189 () (tptp.k1_filter_2 @t188)) % 35.76/35.93 (define @t190 () (tptp.u1_lattices @t188)) % 35.76/35.93 (define @t191 () (tptp.u2_lattices @t188)) % 35.76/35.93 (define @t192 () (tptp.u1_struct_0 @t188)) % 35.76/35.93 (define @t193 () (tptp.g3_lattices @t192 @t191 @t190)) % 35.76/35.93 (define @t194 () (= @t193 (tptp.k23_filter_2 @t188 @t189))) % 35.76/35.93 (define @t195 () (tptp.k17_filter_2 @t188)) % 35.76/35.93 (define @t196 () (tptp.k23_filter_2 @t188 @t195)) % 35.76/35.93 (define @t197 () (= @t193 @t196)) % 35.76/35.93 (define @t198 () (and @t197 @t194)) % 35.76/35.93 (define @t199 () (tptp.l3_lattices @t188)) % 35.76/35.93 (define @t200 () (not @t199)) % 35.76/35.93 (define @t201 () (tptp.v10_lattices @t188)) % 35.76/35.93 (define @t202 () (not @t201)) % 35.76/35.93 (define @t203 () (tptp.v3_struct_0 @t188)) % 35.76/35.93 (define @t204 () (or @t203 @t202 @t200 @t198)) % 35.76/35.93 (define @t205 () (@list true)) % 35.76/35.93 (define @t206 () (@list @t204)) % 35.76/35.93 (define @t207 () (= @t21 @t174)) % 35.76/35.93 (define @t208 () (not @t175)) % 35.76/35.93 (define @t209 () (not @t177)) % 35.76/35.93 (define @t210 () (=> @t175 @t207)) % 35.76/35.93 (define @t211 () (tptp.k2_zfmisc_1 @t192 @t192)) % 35.76/35.93 (define @t212 () (tptp.k4_relset_1 @t211 @t192 @t190)) % 35.76/35.93 (define @t213 () (@list @t211 @t192 @t190)) % 35.76/35.93 (define @t214 () (tptp.m2_relset_1 @t190 @t211 @t192)) % 35.76/35.93 (define @t215 () (tptp.m1_relset_1 @t190 @t211 @t192)) % 35.76/35.93 (define @t216 () (= @t214 @t215)) % 35.76/35.93 (define @t217 () (= @t215 @t214)) % 35.76/35.93 (define @t218 () (@list false)) % 35.76/35.93 (define @t219 () (@list @t169)) % 35.76/35.93 (define @t220 () (@list @t188)) % 35.76/35.93 (define @t221 () (tptp.l2_lattices @t188)) % 35.76/35.93 (define @t222 () (tptp.l1_lattices @t188)) % 35.76/35.93 (define @t223 () (and @t222 @t221)) % 35.76/35.93 (define @t224 () (or @t200 @t223)) % 35.76/35.93 (define @t225 () (@list false false)) % 35.76/35.93 (define @t226 () (not @t223)) % 35.76/35.93 (define @t227 () (@list @t223)) % 35.76/35.93 (define @t228 () (tptp.v1_funct_2 @t190 @t211 @t192)) % 35.76/35.93 (define @t229 () (tptp.v1_funct_1 @t190)) % 35.76/35.93 (define @t230 () (and @t229 @t228 @t214)) % 35.76/35.93 (define @t231 () (not @t222)) % 35.76/35.93 (define @t232 () (or @t231 @t230)) % 35.76/35.93 (define @t233 () (not @t230)) % 35.76/35.93 (define @t234 () (@list @t230)) % 35.76/35.93 (define @t235 () (not @t214)) % 35.76/35.93 (define @t236 () (tptp.m1_subset_1 @t212 (tptp.k1_zfmisc_1 @t211))) % 35.76/35.93 (define @t237 () (not @t215)) % 35.76/35.93 (define @t238 () (or @t237 @t236)) % 35.76/35.93 (define @t239 () (tptp.r1_tarski @t212 @t211)) % 35.76/35.93 (define @t240 () (= @t236 @t239)) % 35.76/35.93 (define @t241 () (tptp.k1_relat_1 @t190)) % 35.76/35.93 (define @t242 () (= @t212 @t241)) % 35.76/35.93 (define @t243 () (or @t237 @t242)) % 35.76/35.93 (define @t244 () (@list @t211 @t192 @t191)) % 35.76/35.93 (define @t245 () (tptp.m2_relset_1 @t191 @t211 @t192)) % 35.76/35.93 (define @t246 () (tptp.m1_relset_1 @t191 @t211 @t192)) % 35.76/35.93 (define @t247 () (= @t245 @t246)) % 35.76/35.93 (define @t248 () (= @t246 @t245)) % 35.76/35.93 (define @t249 () (tptp.v1_funct_2 @t191 @t211 @t192)) % 35.76/35.93 (define @t250 () (tptp.v1_funct_1 @t191)) % 35.76/35.93 (define @t251 () (and @t250 @t249 @t245)) % 35.76/35.93 (define @t252 () (not @t221)) % 35.76/35.93 (define @t253 () (or @t252 @t251)) % 35.76/35.93 (define @t254 () (not @t251)) % 35.76/35.93 (define @t255 () (@list @t251)) % 35.76/35.93 (define @t256 () (not @t245)) % 35.76/35.93 (define @t257 () (tptp.k1_relat_1 @t191)) % 35.76/35.93 (define @t258 () (tptp.k4_relset_1 @t211 @t192 @t191)) % 35.76/35.93 (define @t259 () (= @t258 @t257)) % 35.76/35.93 (define @t260 () (not @t246)) % 35.76/35.93 (define @t261 () (or @t260 @t259)) % 35.76/35.93 (define @t262 () (not @t83)) % 35.76/35.93 (define @t263 () (or @t262 @t81 @t80)) % 35.76/35.93 (define @t264 () (not @t88)) % 35.76/35.93 (define @t265 () (= @t228 (= @t190 tptp.k1_xboole_0))) % 35.76/35.93 (define @t266 () (= @t192 tptp.k1_xboole_0)) % 35.76/35.93 (define @t267 () (not @t266)) % 35.76/35.93 (define @t268 () (= @t211 tptp.k1_xboole_0)) % 35.76/35.93 (define @t269 () (or @t267 @t268 @t265)) % 35.76/35.93 (define @t270 () (= @t211 @t212)) % 35.76/35.93 (define @t271 () (= @t228 @t270)) % 35.76/35.93 (define @t272 () (not @t268)) % 35.76/35.93 (define @t273 () (and @t266 @t272)) % 35.76/35.93 (define @t274 () (or @t273 @t271)) % 35.76/35.93 (define @t275 () (and @t274 @t269)) % 35.76/35.93 (define @t276 () (or @t235 @t275)) % 35.76/35.93 (define @t277 () (forall @t39 (or @t264 (and (or (and @t83 (not @t81)) @t85) @t263)))) % 35.76/35.93 (define @t278 () (= tptp.k1_xboole_0 @t211)) % 35.76/35.93 (define @t279 () (= tptp.k1_xboole_0 @t192)) % 35.76/35.93 (define @t280 () (not @t279)) % 35.76/35.93 (define @t281 () (and @t279 (not @t278))) % 35.76/35.93 (define @t282 () (or @t281 @t271)) % 35.76/35.93 (define @t283 () (and @t282 (or @t280 @t278 (= @t228 (= tptp.k1_xboole_0 @t190))))) % 35.76/35.93 (define @t284 () (or @t235 @t283)) % 35.76/35.93 (define @t285 () (@list @t277)) % 35.76/35.93 (define @t286 () (not @t121)) % 35.76/35.93 (define @t287 () (tptp.l1_struct_0 @t188)) % 35.76/35.93 (define @t288 () (or @t231 @t287)) % 35.76/35.93 (define @t289 () (not @t203)) % 35.76/35.93 (define @t290 () (tptp.v1_xboole_0 @t192)) % 35.76/35.93 (define @t291 () (not @t290)) % 35.76/35.93 (define @t292 () (not @t287)) % 35.76/35.93 (define @t293 () (or @t203 @t292 @t291)) % 35.76/35.93 (define @t294 () (not @t150)) % 35.76/35.93 (define @t295 () (and @t291 @t279 @t150)) % 35.76/35.93 (define @t296 () (not @t281)) % 35.76/35.93 (define @t297 () (@list true false)) % 35.76/35.93 (define @t298 () (= @t249 (= @t191 tptp.k1_xboole_0))) % 35.76/35.93 (define @t299 () (or @t267 @t268 @t298)) % 35.76/35.93 (define @t300 () (= @t211 @t258)) % 35.76/35.93 (define @t301 () (= @t249 @t300)) % 35.76/35.93 (define @t302 () (or @t273 @t301)) % 35.76/35.93 (define @t303 () (and @t302 @t299)) % 35.76/35.93 (define @t304 () (or @t256 @t303)) % 35.76/35.93 (define @t305 () (or @t281 @t301)) % 35.76/35.93 (define @t306 () (and @t305 (or @t280 @t278 (= @t249 (= tptp.k1_xboole_0 @t191))))) % 35.76/35.93 (define @t307 () (or @t256 @t306)) % 35.76/35.93 (define @t308 () (tptp.r1_tarski @t257 @t211)) % 35.76/35.93 (define @t309 () (and @t300 @t270 @t259 @t242 @t239)) % 35.76/35.93 (define @t310 () (@list false false false false false)) % 35.76/35.93 (define @t311 () (not @t124)) % 35.76/35.93 (define @t312 () (not @t31)) % 35.76/35.93 (define @t313 () (or @t185 @t312 @t311)) % 35.76/35.93 (define @t314 () (or @t13 @t182 @t32)) % 35.76/35.93 (define @t315 () (tptp.v6_lattices @t188)) % 35.76/35.93 (define @t316 () (tptp.v4_lattices @t188)) % 35.76/35.93 (define @t317 () (and @t289 @t316 (tptp.v5_lattices @t188) @t315 (tptp.v7_lattices @t188) (tptp.v8_lattices @t188) (tptp.v9_lattices @t188))) % 35.76/35.93 (define @t318 () (or @t200 @t203 @t202 @t317)) % 35.76/35.93 (define @t319 () (@list true false false false)) % 35.76/35.93 (define @t320 () (not @t317)) % 35.76/35.93 (define @t321 () (@list @t317)) % 35.76/35.93 (define @t322 () (tptp.v1_relat_1 @t191)) % 35.76/35.93 (define @t323 () (and @t322 @t250 @t249 (tptp.v1_binop_1 @t191 @t192) (tptp.v1_partfun1 @t191 @t211 @t192))) % 35.76/35.93 (define @t324 () (not @t316)) % 35.76/35.93 (define @t325 () (or @t203 @t324 @t252 @t323)) % 35.76/35.93 (define @t326 () (tptp.k7_relat_1 @t191 @t211)) % 35.76/35.93 (define @t327 () (= @t191 @t326)) % 35.76/35.93 (define @t328 () (not @t308)) % 35.76/35.93 (define @t329 () (not @t322)) % 35.76/35.93 (define @t330 () (or @t329 @t328 @t327)) % 35.76/35.93 (define @t331 () (@list false false false)) % 35.76/35.93 (define @t332 () (tptp.r1_tarski @t241 @t211)) % 35.76/35.93 (define @t333 () (not @t122)) % 35.76/35.93 (define @t334 () (not @t29)) % 35.76/35.93 (define @t335 () (or @t185 @t334 @t333)) % 35.76/35.93 (define @t336 () (tptp.v1_relat_1 @t190)) % 35.76/35.93 (define @t337 () (and @t336 @t229 @t228 (tptp.v1_binop_1 @t190 @t192) (tptp.v1_partfun1 @t190 @t211 @t192))) % 35.76/35.93 (define @t338 () (not @t315)) % 35.76/35.93 (define @t339 () (or @t203 @t338 @t231 @t337)) % 35.76/35.93 (define @t340 () (tptp.k7_relat_1 @t190 @t211)) % 35.76/35.93 (define @t341 () (= @t190 @t340)) % 35.76/35.93 (define @t342 () (not @t332)) % 35.76/35.93 (define @t343 () (not @t336)) % 35.76/35.93 (define @t344 () (or @t343 @t342 @t341)) % 35.76/35.93 (define @t345 () (@var "BOUND_VARIABLE_8119" $$unsorted)) % 35.76/35.93 (define @t346 () (= (tptp.k1_realset1 @t1 @t345) (tptp.k7_relat_1 @t1 (tptp.k2_zfmisc_1 @t345 @t345)))) % 35.76/35.93 (define @t347 () (not @t40)) % 35.76/35.93 (define @t348 () (or @t347 @t346)) % 35.76/35.93 (define @t349 () (@list @t345)) % 35.76/35.93 (define @t350 () (forall @t349 @t348)) % 35.76/35.93 (define @t351 () (forall @t349 @t346)) % 35.76/35.93 (define @t352 () (@list @t21)) % 35.76/35.93 (define @t353 () (or @t347 @t351)) % 35.76/35.93 (define @t354 () (tptp.k1_realset1 @t190 @t192)) % 35.76/35.93 (define @t355 () (= @t354 @t340)) % 35.76/35.93 (define @t356 () (or @t343 @t355)) % 35.76/35.93 (define @t357 () (tptp.k1_realset1 @t191 @t192)) % 35.76/35.93 (define @t358 () (= @t357 @t326)) % 35.76/35.93 (define @t359 () (or @t329 @t358)) % 35.76/35.93 (define @t360 () (@var "BOUND_VARIABLE_8064" $$unsorted)) % 35.76/35.93 (define @t361 () (tptp.k1_realset1 @t2 @t360)) % 35.76/35.93 (define @t362 () (tptp.k1_realset1 @t3 @t360)) % 35.76/35.93 (define @t363 () (tptp.g3_lattices @t360 @t362 @t361)) % 35.76/35.93 (define @t364 () (@var "BOUND_VARIABLE_8066" $$unsorted)) % 35.76/35.93 (define @t365 () (tptp.k2_zfmisc_1 @t360 @t360)) % 35.76/35.93 (define @t366 () (tptp.m2_relset_1 @t362 @t365 @t360)) % 35.76/35.93 (define @t367 () (tptp.v1_funct_2 @t362 @t365 @t360)) % 35.76/35.93 (define @t368 () (tptp.v1_funct_1 @t362)) % 35.76/35.93 (define @t369 () (tptp.m2_relset_1 @t361 @t365 @t360)) % 35.76/35.93 (define @t370 () (tptp.v1_funct_2 @t361 @t365 @t360)) % 35.76/35.93 (define @t371 () (tptp.v1_funct_1 @t361)) % 35.76/35.93 (define @t372 () (and @t371 @t370 @t369 @t368 @t367 @t366 (= @t363 @t364))) % 35.76/35.93 (define @t373 () (tptp.k23_filter_2 @t1 @t360)) % 35.76/35.93 (define @t374 () (= (= @t373 @t364) @t372)) % 35.76/35.93 (define @t375 () (not (tptp.m2_nat_lat @t364 @t1))) % 35.76/35.93 (define @t376 () (not (tptp.m2_lattice4 @t360 @t1))) % 35.76/35.93 (define @t377 () (tptp.v1_xboole_0 @t360)) % 35.76/35.93 (define @t378 () (or @t13 @t182 @t181 @t377 @t376 @t375 @t374)) % 35.76/35.93 (define @t379 () (or @t377 @t376 @t375 @t374)) % 35.76/35.93 (define @t380 () (or @t13 @t182 @t181 @t379)) % 35.76/35.93 (define @t381 () (forall (@list @t1 @t360 @t364) @t380)) % 35.76/35.93 (define @t382 () (@list @t360 @t364)) % 35.76/35.93 (define @t383 () (forall @t382 @t380)) % 35.76/35.93 (define @t384 () (forall @t382 @t379)) % 35.76/35.93 (define @t385 () (@var "BOUND_VARIABLE_8041" $$unsorted)) % 35.76/35.93 (define @t386 () (or @t13 @t182 @t181 @t384)) % 35.76/35.93 (define @t387 () (tptp.g3_lattices @t21 @t48 @t46)) % 35.76/35.93 (define @t388 () (tptp.m2_relset_1 @t48 @t50 @t21)) % 35.76/35.93 (define @t389 () (tptp.v1_funct_2 @t48 @t50 @t21)) % 35.76/35.93 (define @t390 () (tptp.v1_funct_1 @t48)) % 35.76/35.93 (define @t391 () (tptp.m2_relset_1 @t46 @t50 @t21)) % 35.76/35.93 (define @t392 () (tptp.v1_funct_2 @t46 @t50 @t21)) % 35.76/35.93 (define @t393 () (tptp.v1_funct_1 @t46)) % 35.76/35.93 (define @t394 () (not (tptp.m2_nat_lat @t385 @t1))) % 35.76/35.93 (define @t395 () (not @t70)) % 35.76/35.93 (define @t396 () (@list @t21 @t385)) % 35.76/35.93 (define @t397 () (forall @t396 (or @t71 @t395 @t394 (= (= @t63 @t385) (and @t393 @t392 @t391 @t390 @t389 @t388 (= @t387 @t385)))))) % 35.76/35.93 (define @t398 () (or @t13 @t182 @t181 @t397)) % 35.76/35.93 (define @t399 () (and @t393 @t392 @t391 @t390 @t389 @t388 (= @t385 @t387))) % 35.76/35.93 (define @t400 () (= (= @t385 @t63) @t399)) % 35.76/35.93 (define @t401 () (or @t71 @t395 @t394 @t400)) % 35.76/35.93 (define @t402 () (or @t394 @t400)) % 35.76/35.93 (define @t403 () (or @t71 @t395 @t402)) % 35.76/35.93 (define @t404 () (forall @t396 @t403)) % 35.76/35.93 (define @t405 () (@list @t385)) % 35.76/35.93 (define @t406 () (forall @t405 @t403)) % 35.76/35.93 (define @t407 () (forall @t405 @t402)) % 35.76/35.93 (define @t408 () (or @t71 @t395 @t407)) % 35.76/35.93 (define @t409 () (= @t36 @t387)) % 35.76/35.93 (define @t410 () (not @t66)) % 35.76/35.93 (define @t411 () (forall @t68 (or @t410 (= @t64 (and @t393 @t392 @t391 @t390 @t389 @t388 @t409))))) % 35.76/35.93 (define @t412 () (or @t71 @t395 @t411)) % 35.76/35.93 (define @t413 () (not @t72)) % 35.76/35.93 (define @t414 () (or @t413 @t395)) % 35.76/35.93 (define @t415 () (not @t73)) % 35.76/35.93 (define @t416 () (not @t409)) % 35.76/35.93 (define @t417 () (not @t416)) % 35.76/35.93 (define @t418 () (not @t388)) % 35.76/35.93 (define @t419 () (not @t418)) % 35.76/35.93 (define @t420 () (not @t389)) % 35.76/35.93 (define @t421 () (not @t420)) % 35.76/35.93 (define @t422 () (not @t390)) % 35.76/35.93 (define @t423 () (not @t422)) % 35.76/35.93 (define @t424 () (not @t391)) % 35.76/35.93 (define @t425 () (not @t424)) % 35.76/35.93 (define @t426 () (not @t392)) % 35.76/35.93 (define @t427 () (not @t426)) % 35.76/35.93 (define @t428 () (not @t393)) % 35.76/35.93 (define @t429 () (not @t428)) % 35.76/35.93 (define @t430 () (and @t429 @t427 @t425 @t423 @t421 @t419 @t417)) % 35.76/35.93 (define @t431 () (or @t422 @t420 @t418 @t416)) % 35.76/35.93 (define @t432 () (or @t428 @t426 @t424 @t422 @t420 @t418 @t416)) % 35.76/35.93 (define @t433 () (= @t64 (not @t432))) % 35.76/35.93 (define @t434 () (not (= @t48 @t48))) % 35.76/35.93 (define @t435 () (or @t422 @t420 @t418 @t434 @t416)) % 35.76/35.93 (define @t436 () (not (= @t36 (tptp.g3_lattices @t21 @t44 @t46)))) % 35.76/35.93 (define @t437 () (not @t49)) % 35.76/35.93 (define @t438 () (not @t57)) % 35.76/35.93 (define @t439 () (not @t58)) % 35.76/35.93 (define @t440 () (not @t59)) % 35.76/35.93 (define @t441 () (or @t437 @t440 @t439 @t438 @t437 @t436)) % 35.76/35.93 (define @t442 () (or @t440 @t439 @t438 @t437 @t436)) % 35.76/35.93 (define @t443 () (forall @t61 @t442)) % 35.76/35.93 (define @t444 () (or @t428 @t426 @t424 @t443)) % 35.76/35.93 (define @t445 () (or @t428 @t426 @t424 @t442)) % 35.76/35.93 (define @t446 () (or @t440 @t439 @t438 @t437 @t428 @t426 @t424 @t436)) % 35.76/35.93 (define @t447 () (or @t437 @t428 @t426 @t424 @t436)) % 35.76/35.93 (define @t448 () (not @t447)) % 35.76/35.93 (define @t449 () (not @t448)) % 35.76/35.93 (define @t450 () (or @t440 @t439 @t438 @t449)) % 35.76/35.93 (define @t451 () (and @t59 @t58 @t57 @t448)) % 35.76/35.93 (define @t452 () (forall @t61 (not @t451))) % 35.76/35.93 (define @t453 () (not @t452)) % 35.76/35.93 (define @t454 () (or @t428 @t426 @t424 @t436)) % 35.76/35.93 (define @t455 () (not (= @t46 @t46))) % 35.76/35.93 (define @t456 () (or @t428 @t426 @t424 @t455 @t436)) % 35.76/35.93 (define @t457 () (not @t45)) % 35.76/35.93 (define @t458 () (not @t47)) % 35.76/35.93 (define @t459 () (not @t51)) % 35.76/35.93 (define @t460 () (not @t52)) % 35.76/35.93 (define @t461 () (not @t53)) % 35.76/35.93 (define @t462 () (or @t458 @t461 @t460 @t459 @t458 @t457)) % 35.76/35.93 (define @t463 () (or @t461 @t460 @t459 @t458 @t457)) % 35.76/35.93 (define @t464 () (forall @t55 @t463)) % 35.76/35.93 (define @t465 () (or @t437 @t464)) % 35.76/35.93 (define @t466 () (or @t437 @t463)) % 35.76/35.93 (define @t467 () (or @t461 @t460 @t459 @t437 @t458 @t457)) % 35.76/35.93 (define @t468 () (forall @t55 (not @t54))) % 35.76/35.93 (define @t469 () (not @t468)) % 35.76/35.93 (define @t470 () (@var "BOUND_VARIABLE_8210" $$unsorted)) % 35.76/35.93 (define @t471 () (and (not (tptp.v1_xboole_0 @t470)) (tptp.m2_lattice4 @t470 @t1))) % 35.76/35.93 (define @t472 () (not (tptp.m1_filter_2 @t470 @t1))) % 35.76/35.93 (define @t473 () (or @t472 @t471)) % 35.76/35.93 (define @t474 () (or @t13 @t182 @t181 @t473)) % 35.76/35.93 (define @t475 () (forall (@list @t1 @t470) @t474)) % 35.76/35.93 (define @t476 () (@list @t470)) % 35.76/35.93 (define @t477 () (forall @t476 @t474)) % 35.76/35.93 (define @t478 () (forall @t476 @t473)) % 35.76/35.93 (define @t479 () (or @t13 @t182 @t181 @t478)) % 35.76/35.93 (define @t480 () (forall @t75 (or (not @t129) @t73))) % 35.76/35.93 (define @t481 () (or @t13 @t182 @t181 @t480)) % 35.76/35.93 (define @t482 () (tptp.m1_filter_2 @t189 @t188)) % 35.76/35.93 (define @t483 () (or @t203 @t202 @t200 @t482)) % 35.76/35.93 (define @t484 () (tptp.m2_lattice4 @t189 @t188)) % 35.76/35.93 (define @t485 () (and (not (tptp.v1_xboole_0 @t189)) @t484)) % 35.76/35.93 (define @t486 () (not @t482)) % 35.76/35.93 (define @t487 () (or @t203 @t202 @t200 @t486 @t485)) % 35.76/35.93 (define @t488 () (tptp.k1_filter_0 @t188)) % 35.76/35.93 (define @t489 () (= @t189 @t488)) % 35.76/35.93 (define @t490 () (or @t203 @t202 @t200 @t489)) % 35.76/35.93 (define @t491 () (= @t4 @t90)) % 35.76/35.93 (define @t492 () (= @t192 @t488)) % 35.76/35.93 (define @t493 () (or @t203 @t202 @t200 @t492)) % 35.76/35.93 (define @t494 () (= @t4 @t8)) % 35.76/35.93 (define @t495 () (= @t192 @t195)) % 35.76/35.93 (define @t496 () (or @t203 @t202 @t200 @t495)) % 35.76/35.93 (define @t497 () (tptp.m2_lattice4 @t192 @t188)) % 35.76/35.93 (define @t498 () (or @t185 @t182 @t181 @t413 @t395)) % 35.76/35.93 (define @t499 () (tptp.m2_lattice4 @t195 @t188)) % 35.76/35.93 (define @t500 () (tptp.v1_xboole_0 @t195)) % 35.76/35.93 (define @t501 () (tptp.m2_nat_lat @t196 @t188)) % 35.76/35.93 (define @t502 () (not @t499)) % 35.76/35.93 (define @t503 () (or @t203 @t202 @t200 @t500 @t502 @t501)) % 35.76/35.93 (define @t504 () (= @t196 (tptp.g3_lattices @t192 @t357 @t354))) % 35.76/35.93 (define @t505 () (and (tptp.v1_funct_1 @t354) (tptp.v1_funct_2 @t354 @t211 @t192) (tptp.m2_relset_1 @t354 @t211 @t192) (tptp.v1_funct_1 @t357) (tptp.v1_funct_2 @t357 @t211 @t192) (tptp.m2_relset_1 @t357 @t211 @t192) @t504)) % 35.76/35.93 (define @t506 () (= @t196 (tptp.k23_filter_2 @t188 @t192))) % 35.76/35.93 (define @t507 () (= @t506 @t505)) % 35.76/35.93 (define @t508 () (not @t501)) % 35.76/35.93 (define @t509 () (not @t497)) % 35.76/35.93 (define @t510 () (or @t203 @t202 @t200 @t290 @t509 @t508 @t507)) % 35.76/35.93 (define @t511 () (and @t495 @t492 @t489 @t504 @t358 @t355 @t341 @t327)) % 35.76/35.93 (define @t512 () (not @t327)) % 35.76/35.93 (define @t513 () (not @t341)) % 35.76/35.93 (define @t514 () (not @t355)) % 35.76/35.93 (define @t515 () (not @t358)) % 35.76/35.93 (define @t516 () (not @t504)) % 35.76/35.93 (define @t517 () (and @t504 @t358 @t355 @t341 @t327)) % 35.76/35.93 (assume @p1 @t19) % 35.76/35.93 (assume @p2 (forall @t17 (=> @t11 (=> @t20 (= @t1 @t5))))) % 35.76/35.93 (assume @p3 (forall @t23 (=> @t22 (not (tptp.r2_hidden @t21 @t1))))) % 35.76/35.93 (assume @p4 (forall @t17 (=> @t25 @t24))) % 35.76/35.93 (assume @p5 @t35) % 35.76/35.93 (assume @p6 (forall @t39 (=> @t38 (tptp.v1_relat_1 @t36)))) % 35.76/35.93 (assume @p7 (forall @t17 (=> @t42 @t41))) % 35.76/35.93 (assume @p8 (forall @t17 (=> @t11 (=> @t32 @t33)))) % 35.76/35.93 (assume @p9 @t78) % 35.76/35.93 (assume @p10 @t89) % 35.76/35.93 (assume @p11 @t92) % 35.76/35.93 (assume @p12 @t95) % 35.76/35.93 (assume @p13 @t97) % 35.76/35.93 (assume @p14 (forall @t39 (=> @t107 (and @t99 (tptp.l3_lattices @t98))))) % 35.76/35.93 (assume @p15 (forall @t17 (=> @t15 (tptp.m2_filter_2 @t8 @t1)))) % 35.76/35.93 (assume @p16 (forall @t17 (=> @t15 (tptp.m1_filter_0 @t90 @t1)))) % 35.76/35.93 (assume @p17 @t109) % 35.76/35.93 (assume @p18 true) % 35.76/35.93 (assume @p19 @t112) % 35.76/35.93 (assume @p20 @t116) % 35.76/35.93 (assume @p21 (forall @t23 (=> @t40 @t118))) % 35.76/35.93 (assume @p22 (forall @t120 (=> @t115 (tptp.m2_relset_1 @t119 @t1 @t21)))) % 35.76/35.93 (assume @p23 @t123) % 35.76/35.93 (assume @p24 (forall @t17 (=> @t124 @t121))) % 35.76/35.93 (assume @p25 @t126) % 35.76/35.93 (assume @p26 (forall @t17 (=> @t15 (forall @t75 (=> @t128 (and @t72 @t127)))))) % 35.76/35.93 (assume @p27 @t132) % 35.76/35.93 (assume @p28 (forall @t17 (=> @t15 (forall @t75 (=> @t133 @t73))))) % 35.76/35.93 (assume @p29 (forall @t17 (=> @t15 (forall @t75 (=> @t70 @t127))))) % 35.76/35.93 (assume @p30 (forall @t17 (=> @t15 (forall @t75 (=> @t136 (and @t135 @t134 (tptp.l3_lattices @t21))))))) % 35.76/35.93 (assume @p31 (forall @t39 (=> @t88 @t38))) % 35.76/35.93 (assume @p32 @t141) % 35.76/35.93 (assume @p33 @t145) % 35.76/35.93 (assume @p34 (exists @t17 @t122)) % 35.76/35.93 (assume @p35 (exists @t17 @t121)) % 35.76/35.93 (assume @p36 (exists @t17 @t124)) % 35.76/35.93 (assume @p37 (exists @t17 @t11)) % 35.76/35.93 (assume @p38 (forall @t17 (=> @t15 (exists @t75 @t128)))) % 35.76/35.93 (assume @p39 (forall @t17 (=> @t15 (exists @t75 @t129)))) % 35.76/35.93 (assume @p40 (forall @t23 (exists @t68 @t115))) % 35.76/35.93 (assume @p41 (forall @t17 (exists @t75 (tptp.m1_subset_1 @t21 @t1)))) % 35.76/35.93 (assume @p42 (forall @t17 (=> @t15 (exists @t75 @t133)))) % 35.76/35.93 (assume @p43 (forall @t17 (=> @t15 (exists @t75 @t70)))) % 35.76/35.93 (assume @p44 (forall @t17 (=> @t15 (exists @t75 @t136)))) % 35.76/35.93 (assume @p45 (forall @t23 (exists @t68 @t88))) % 35.76/35.93 (assume @p46 (forall @t23 (=> @t40 @t146))) % 35.76/35.93 (assume @p47 @t149) % 35.76/35.93 (assume @p48 (forall @t17 (not (tptp.v1_xboole_0 @t113)))) % 35.76/35.93 (assume @p49 @t150) % 35.76/35.93 (assume @p50 @t155) % 35.76/35.93 (assume @p51 (forall @t23 (=> @t156 (and @t146 (tptp.v1_funct_1 @t93))))) % 35.76/35.93 (assume @p52 (forall @t17 (=> (and @t14 @t30 @t124) (and @t152 @t143 @t142 (tptp.v2_binop_1 @t3 @t4) @t151)))) % 35.76/35.93 (assume @p53 (forall @t39 (=> (and @t157 @t106 @t105 @t104 @t103 @t102 @t101) (and (not (tptp.v3_struct_0 @t98)) @t99)))) % 35.76/35.93 (assume @p54 (forall @t23 (=> @t156 (and @t118 (tptp.v1_funct_1 @t117))))) % 35.76/35.93 (assume @p55 @t162) % 35.76/35.93 (assume @p56 (forall @t23 (=> (and @t157 @t72) (not (tptp.v1_xboole_0 @t37))))) % 35.76/35.93 (assume @p57 (forall @t23 (=> @t111 (and (not (tptp.v3_struct_0 @t63)) (tptp.v3_lattices @t63) (tptp.v4_lattices @t63) (tptp.v5_lattices @t63) (tptp.v6_lattices @t63) (tptp.v7_lattices @t63) (tptp.v8_lattices @t63) (tptp.v9_lattices @t63) (tptp.v10_lattices @t63))))) % 35.76/35.93 (assume @p58 (forall @t17 (=> (and @t14 @t28 @t122) (and @t159 @t139 @t138 (tptp.v2_binop_1 @t2 @t4) @t158)))) % 35.76/35.93 (assume @p59 (forall @t39 (=> @t107 (forall (@list @t44 @t43 @t163) (=> (= @t98 (tptp.g3_lattices @t44 @t43 @t163)) (and (= @t1 @t44) (= @t21 @t43) (= @t36 @t163))))))) % 35.76/35.93 (assume @p60 (exists @t17 @t156)) % 35.76/35.93 (assume @p61 (forall @t17 (=> @t15 (exists @t75 (and @t70 @t72))))) % 35.76/35.93 (assume @p62 (forall @t17 (=> @t15 (exists @t75 (and @t136 @t135 (tptp.v3_lattices @t21) (tptp.v4_lattices @t21) (tptp.v5_lattices @t21) (tptp.v6_lattices @t21) (tptp.v7_lattices @t21) (tptp.v8_lattices @t21) (tptp.v9_lattices @t21) @t134))))) % 35.76/35.93 (assume @p63 (forall @t17 (=> @t157 (exists @t75 (and @t164 @t72))))) % 35.76/35.93 (assume @p64 (exists @t17 @t25)) % 35.76/35.93 (assume @p65 (exists @t17 @t42)) % 35.76/35.93 (assume @p66 (forall @t17 (exists @t75 (and @t164 @t71)))) % 35.76/35.93 (assume @p67 (exists @t17 @t157)) % 35.76/35.93 (assume @p68 (exists @t17 @t41)) % 35.76/35.93 (assume @p69 (exists @t17 (and @t11 @t20))) % 35.76/35.93 (assume @p70 (exists @t17 (and @t121 @t14))) % 35.76/35.93 (assume @p71 (forall @t17 (=> @t148 (exists @t75 (and @t127 @t72))))) % 35.76/35.93 (assume @p72 (exists @t17 (and @t11 @t14 @t20))) % 35.76/35.93 (assume @p73 (exists @t17 (and @t11 @t14 @t20 @t31 @t30 @t29 @t28 @t27 @t26 @t12))) % 35.76/35.93 (assume @p74 @t166) % 35.76/35.93 (assume @p75 @t168) % 35.76/35.93 (assume @p76 (forall @t120 (=> @t115 (= @t119 (tptp.k7_relat_1 @t36 @t44))))) % 35.76/35.93 (assume @p77 (forall @t17 (=> @t15 (forall @t75 (= @t129 @t128))))) % 35.76/35.93 (assume @p78 @t169) % 35.76/35.93 (assume @p79 (forall @t39 (=> @t171 (= @t170 (= @t21 @t36))))) % 35.76/35.93 (assume @p80 (forall @t39 (=> @t171 (tptp.r1_filter_2 @t1 @t21 @t21)))) % 35.76/35.93 (assume @p81 (forall @t23 (tptp.r1_tarski @t1 @t1))) % 35.76/35.93 (assume @p82 (forall @t39 (=> @t171 (=> @t170 (tptp.r1_filter_2 @t1 @t36 @t21))))) % 35.76/35.93 (assume @p83 (forall @t23 (=> @t22 @t172))) % 35.76/35.93 (assume @p84 (forall @t23 (=> @t172 (or @t71 @t22)))) % 35.76/35.93 (assume @p85 (forall @t23 (= (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t21)) (tptp.r1_tarski @t1 @t21)))) % 35.76/35.93 (assume @p86 (forall @t39 (=> (and @t22 @t173) (tptp.m1_subset_1 @t1 @t36)))) % 35.76/35.93 (assume @p87 (forall @t39 (not (and @t22 @t173 (tptp.v1_xboole_0 @t36))))) % 35.76/35.93 (assume @p88 (forall @t17 (=> @t25 @t81))) % 35.76/35.93 (assume @p89 (forall @t23 (not (and @t22 @t71)))) % 35.76/35.93 (assume @p90 (forall @t23 (not (and @t25 (not (= @t1 @t21)) @t71)))) % 35.76/35.93 (assume @p91 @t179) % 35.76/35.93 (step @p92 :rule aci_norm :args ((= (or @t184 @t180) @t183))) % 35.76/35.93 (step @p93 :rule refl :args (@t180)) % 35.76/35.93 (step @p94 :rule refl :args (@t181)) % 35.76/35.93 (step @p95 :rule refl :args (@t182)) % 35.76/35.93 (step @p96 :rule bool-double-not-elim :args (@t13)) % 35.76/35.93 (step @p97 :rule nary_cong :premises (@p96 @p95 @p94) :args (@t186)) % 35.76/35.93 (step @p98 :rule aci_norm :args ((= (or @t185 (or @t182 @t181)) @t186))) % 35.76/35.93 (step @p99 :rule trans :premises (@p98 @p97)) % 35.76/35.93 (step @p100 :rule bool-and-de-morgan :args (@t12 @t11 true)) % 35.76/35.93 (step @p101 :rule refl :args (@t185)) % 35.76/35.93 (step @p102 :rule nary_cong :premises (@p101 @p100) :args ((or @t185 (not (and @t12 @t11))))) % 35.76/35.93 (step @p103 :rule bool-and-de-morgan :args (@t14 @t12 (and @t11))) % 35.76/35.93 (step @p104 :rule trans :premises (@p103 @p102)) % 35.76/35.93 (step @p105 :rule trans :premises (@p104 @p99)) % 35.76/35.93 (step @p106 :rule nary_cong :premises (@p105 @p93) :args ((or @t187 @t180))) % 35.76/35.93 (step @p107 :rule trans :premises (@p106 @p92)) % 35.76/35.93 (step @p108 :rule bool-impl-elim :args (@t15 @t180)) % 35.76/35.93 (step @p109 :rule trans :premises (@p108 @p107)) % 35.76/35.93 (step @p110 :rule cong :premises (@p109) :args ((forall @t17 (=> @t15 @t180)))) % 35.76/35.93 (step @p111 :rule eq-symm :args (@t7 @t5)) % 35.76/35.93 (step @p112 :rule eq-symm :args (@t9 @t5)) % 35.76/35.93 (step @p113 :rule nary_cong :premises (@p112 @p111) :args (@t10)) % 35.76/35.93 (step @p114 :rule refl :args (@t15)) % 35.76/35.93 (step @p115 :rule cong :premises (@p114 @p113) :args (@t16)) % 35.76/35.93 (step @p116 :rule cong :premises (@p115) :args (@t18)) % 35.76/35.93 (step @p117 :rule trans :premises (@p116 @p110)) % 35.76/35.93 (step @p118 :rule cong :premises (@p117) :args (@t19)) % 35.76/35.93 (step @p119 :rule eq_resolve :premises (@p1 @p118)) % 35.76/35.93 (step @p120 :rule skolemize :premises (@p119)) % 35.76/35.93 (step @p121 :rule cnf_or_neg :args (@t204 3)) % 35.76/35.93 (step @p122 :rule chain_m_resolution :premises (@p121 @p120) :args ((not @t198) @t205 @t206)) % 35.76/35.93 (step @p123 :rule aci_norm :args ((= (or @t209 (or @t208 @t207)) (or @t209 @t208 @t207)))) % 35.76/35.93 (step @p124 :rule bool-impl-elim :args (@t175 @t207)) % 35.76/35.93 (step @p125 :rule refl :args (@t209)) % 35.76/35.93 (step @p126 :rule nary_cong :premises (@p125 @p124) :args ((or @t209 @t210))) % 35.76/35.93 (step @p127 :rule trans :premises (@p126 @p123)) % 35.76/35.93 (step @p128 :rule bool-impl-elim :args (@t177 @t210)) % 35.76/35.93 (step @p129 :rule trans :premises (@p128 @p127)) % 35.76/35.93 (step @p130 :rule cong :premises (@p129) :args ((forall @t23 (=> @t177 @t210)))) % 35.76/35.93 (step @p131 :rule eq-symm :args (@t174 @t21)) % 35.76/35.93 (step @p132 :rule refl :args (@t175)) % 35.76/35.93 (step @p133 :rule cong :premises (@p132 @p131) :args (@t176)) % 35.76/35.93 (step @p134 :rule refl :args (@t177)) % 35.76/35.93 (step @p135 :rule cong :premises (@p134 @p133) :args (@t178)) % 35.76/35.93 (step @p136 :rule cong :premises (@p135) :args (@t179)) % 35.76/35.93 (step @p137 :rule trans :premises (@p136 @p130)) % 35.76/35.93 (step @p138 :rule eq_resolve :premises (@p91 @p137)) % 35.76/35.93 (step @p139 :rule instantiate :premises (@p138) :args ((@list @t211 @t191))) % 35.76/35.93 (step @p140 :rule instantiate :premises (@p85) :args ((@list @t212 @t211))) % 35.76/35.93 (step @p141 :rule bool-impl-elim :args (@t115 @t114)) % 35.76/35.93 (step @p142 :rule cong :premises (@p141) :args (@t116)) % 35.76/35.93 (step @p143 :rule eq_resolve :premises (@p20 @p142)) % 35.76/35.93 (step @p144 :rule instantiate :premises (@p143) :args (@t213)) % 35.76/35.93 (step @p145 :rule eq-symm :args (@t214 @t215)) % 35.76/35.93 (step @p146 :rule refl :args (@t169)) % 35.76/35.93 (step @p147 :rule cong :premises (@p146 @p145) :args ((=> @t169 @t216))) % 35.76/35.93 (assume-push @p976 @t169) % 35.76/35.93 (step @p149 :rule instantiate :premises (@p78) :args (@t213)) % 35.76/35.93 (step-pop @p977 :rule scope :premises (@p149)) % 35.76/35.93 (step @p150 :rule process_scope :premises (@p977) :args (@t216)) % 35.76/35.93 (step @p152 :rule eq_resolve :premises (@p150 @p147)) % 35.76/35.93 (step @p153 :rule implies_elim :premises (@p152)) % 35.76/35.93 (step @p154 :rule chain_m_resolution :premises (@p153 @p78) :args (@t217 @t218 @t219)) % 35.76/35.93 (step @p155 :rule bool-impl-elim :args (@t122 @t140)) % 35.76/35.93 (step @p156 :rule cong :premises (@p155) :args (@t141)) % 35.76/35.93 (step @p157 :rule eq_resolve :premises (@p32 @p156)) % 35.76/35.93 (step @p158 :rule instantiate :premises (@p157) :args (@t220)) % 35.76/35.93 (step @p159 :rule bool-impl-elim :args (@t11 @t125)) % 35.76/35.93 (step @p160 :rule cong :premises (@p159) :args (@t126)) % 35.76/35.93 (step @p161 :rule eq_resolve :premises (@p25 @p160)) % 35.76/35.93 (step @p162 :rule instantiate :premises (@p161) :args (@t220)) % 35.76/35.93 (step @p163 :rule bool-double-not-elim :args (@t199)) % 35.76/35.93 (step @p164 :rule refl :args 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(or @t13 @t182 @t181 @t491)))) % 35.76/35.93 (step @p814 :rule refl :args (@t491)) % 35.76/35.93 (step @p815 :rule nary_cong :premises (@p105 @p814) :args ((or @t187 @t491))) % 35.76/35.93 (step @p816 :rule trans :premises (@p815 @p813)) % 35.76/35.93 (step @p817 :rule bool-impl-elim :args (@t15 @t491)) % 35.76/35.93 (step @p818 :rule trans :premises (@p817 @p816)) % 35.76/35.93 (step @p819 :rule cong :premises (@p818) :args ((forall @t17 (=> @t15 @t491)))) % 35.76/35.93 (step @p820 :rule eq-symm :args (@t90 @t4)) % 35.76/35.93 (step @p821 :rule cong :premises (@p114 @p820) :args (@t91)) % 35.76/35.93 (step @p822 :rule cong :premises (@p821) :args (@t92)) % 35.76/35.93 (step @p823 :rule trans :premises (@p822 @p819)) % 35.76/35.93 (step @p824 :rule eq_resolve :premises (@p11 @p823)) % 35.76/35.93 (step @p825 :rule instantiate :premises (@p824) :args (@t220)) % 35.76/35.93 (step @p826 :rule cnf_or_pos :args (@t493)) % 35.76/35.93 (step @p827 :rule reordering :premises (@p826) :args ((or @t203 @t202 @t200 @t492 (not @t493)))) % 35.76/35.93 (step @p828 :rule chain_m_resolution :premises (@p827 @p292 @p450 @p169 @p825) :args (@t492 @t319 (@list @t203 @t201 @t199 @t493))) % 35.76/35.93 (step @p829 :rule aci_norm :args ((= (or @t184 @t494) (or @t13 @t182 @t181 @t494)))) % 35.76/35.93 (step @p830 :rule refl :args (@t494)) % 35.76/35.93 (step @p831 :rule nary_cong :premises (@p105 @p830) :args ((or @t187 @t494))) % 35.76/35.93 (step @p832 :rule trans :premises (@p831 @p829)) % 35.76/35.93 (step @p833 :rule bool-impl-elim :args (@t15 @t494)) % 35.76/35.93 (step @p834 :rule trans :premises (@p833 @p832)) % 35.76/35.93 (step @p835 :rule cong :premises (@p834) :args ((forall @t17 (=> @t15 @t494)))) % 35.76/35.93 (step @p836 :rule eq-symm :args (@t8 @t4)) % 35.76/35.93 (step @p837 :rule cong :premises (@p114 @p836) :args (@t96)) % 35.76/35.93 (step @p838 :rule cong :premises (@p837) :args (@t97)) % 35.76/35.93 (step @p839 :rule trans :premises (@p838 @p835)) % 35.76/35.93 (step @p840 :rule eq_resolve :premises (@p13 @p839)) % 35.76/35.93 (step @p841 :rule instantiate :premises (@p840) :args (@t220)) % 35.76/35.93 (step @p842 :rule cnf_or_pos :args (@t496)) % 35.76/35.93 (step @p843 :rule reordering :premises (@p842) :args ((or @t203 @t202 @t200 @t495 (not @t496)))) % 35.76/35.93 (step @p844 :rule chain_m_resolution :premises (@p843 @p292 @p450 @p169 @p841) :args (@t495 @t319 (@list @t203 @t201 @t199 @t496))) % 35.76/35.93 (step @p845 :rule symm :premises (@p844)) % 35.76/35.93 (step @p846 :rule trans :premises (@p845 @p828 @p812)) % 35.76/35.93 (step @p847 :rule trans :premises (@p844 @p846)) % 35.76/35.93 (step @p848 :rule cong :premises (@p847 @p799) :args (@t497)) % 35.76/35.93 (step @p849 :rule trans :premises (@p848 @p798)) % 35.76/35.93 (step @p850 :rule true_elim :premises (@p849)) % 35.76/35.93 (step @p851 :rule aci_norm :args ((= (or (or @t13 @t182 @t181 @t71 @t395) @t110) (or @t13 @t182 @t181 @t71 @t395 @t110)))) % 35.76/35.93 (step @p852 :rule refl :args (@t110)) % 35.76/35.93 (step @p853 :rule nary_cong :premises (@p96 @p95 @p94 @p590 @p579) :args (@t498)) % 35.76/35.93 (step @p854 :rule aci_norm :args ((= (or @t185 (or @t182 (or @t181 @t414))) @t498))) % 35.76/35.93 (step @p855 :rule trans :premises (@p854 @p853)) % 35.76/35.93 (step @p856 :rule nary_cong :premises (@p94 @p592) :args ((or @t181 @t415))) % 35.76/35.93 (step @p857 :rule bool-and-de-morgan :args (@t11 @t72 (and @t70))) % 35.76/35.93 (step @p858 :rule trans :premises (@p857 @p856)) % 35.76/35.93 (step @p859 :rule nary_cong :premises (@p95 @p858) :args ((or @t182 (not (and @t11 @t72 @t70))))) % 35.76/35.93 (step @p860 :rule bool-and-de-morgan :args (@t12 @t11 (and @t72 @t70))) % 35.76/35.93 (step @p861 :rule trans :premises (@p860 @p859)) % 35.76/35.93 (step @p862 :rule nary_cong :premises (@p101 @p861) :args ((or @t185 (not (and @t12 @t11 @t72 @t70))))) % 35.76/35.93 (step @p863 :rule bool-and-de-morgan :args (@t14 @t12 (and @t11 @t72 @t70))) % 35.76/35.93 (step @p864 :rule trans :premises (@p863 @p862)) % 35.76/35.93 (step @p865 :rule trans :premises (@p864 @p855)) % 35.76/35.93 (step @p866 :rule nary_cong :premises (@p865 @p852) :args ((or (not @t111) @t110))) % 35.76/35.93 (step @p867 :rule trans :premises (@p866 @p851)) % 35.76/35.93 (step @p868 :rule bool-impl-elim :args (@t111 @t110)) % 35.76/35.93 (step @p869 :rule trans :premises (@p868 @p867)) % 35.76/35.93 (step @p870 :rule cong :premises (@p869) :args (@t112)) % 35.76/35.93 (step @p871 :rule eq_resolve :premises (@p19 @p870)) % 35.76/35.93 (step @p872 :rule instantiate :premises (@p871) :args ((@list @t188 @t195))) % 35.76/35.93 (step @p873 :rule cong :premises (@p846 @p799) :args (@t499)) % 35.76/35.93 (step @p874 :rule trans :premises (@p873 @p798)) % 35.76/35.93 (step @p875 :rule true_elim :premises (@p874)) % 35.76/35.93 (step @p304 :rule false_intro :premises (@p295)) % 35.76/35.93 (step @p876 :rule cong :premises (@p845) :args (@t500)) % 35.76/35.93 (step @p877 :rule trans :premises (@p876 @p304)) % 35.76/35.93 (step @p878 :rule false_elim :premises (@p877)) % 35.76/35.93 (step @p879 :rule cnf_or_pos :args (@t503)) % 35.76/35.93 (step @p880 :rule reordering :premises (@p879) :args ((or @t203 @t202 @t200 @t500 @t502 @t501 (not @t503)))) % 35.76/35.93 (step @p881 :rule chain_m_resolution :premises (@p880 @p292 @p450 @p169 @p878 @p875 @p872) :args (@t501 (@list true false false true false false) (@list @t203 @t201 @t199 @t500 @t499 @t503))) % 35.76/35.93 (step @p882 :rule cnf_or_pos :args (@t510)) % 35.76/35.93 (step @p883 :rule reordering :premises (@p882) :args ((or @t203 @t202 @t200 @t290 @t508 @t509 @t507 (not @t510)))) % 35.76/35.93 (step @p884 :rule chain_m_resolution :premises (@p883 @p292 @p450 @p169 @p295 @p881 @p850 @p753) :args (@t507 (@list true false false true false false false) (@list @t203 @t201 @t199 @t290 @t501 @t497 @t510))) % 35.76/35.93 (step @p885 :rule cong :premises (@p799 @p845) :args (@t196)) % 35.76/35.93 (step @p886 :rule cnf_equiv_pos1 :args (@t507)) % 35.76/35.93 (step @p887 :rule reordering :premises (@p886) :args ((or @t505 (not @t506) (not @t507)))) % 35.76/35.93 (step @p888 :rule chain_m_resolution :premises (@p887 @p885 @p884) :args (@t505 @t225 (@list @t506 @t507))) % 35.76/35.93 (step @p889 :rule cnf_and_pos :args (@t505 6)) % 35.76/35.93 (step @p890 :rule reordering :premises (@p889) :args ((or @t504 (not @t505)))) % 35.76/35.93 (step @p891 :rule chain_m_resolution :premises (@p890 @p888) :args (@t504 @t218 (@list @t505))) % 35.76/35.93 (assume-push @p1016 @t495) % 35.76/35.93 (assume-push @p1017 @t492) % 35.76/35.93 (assume-push @p1018 @t489) % 35.76/35.93 (assume-push @p1019 @t504) % 35.76/35.93 (assume-push @p1020 @t358) % 35.76/35.93 (assume-push @p1021 @t355) % 35.76/35.93 (assume-push @p1022 @t341) % 35.76/35.93 (assume-push @p1023 @t327) % 35.76/35.93 (assume-push @p1024 @t489) % 35.76/35.93 (assume-push @p1025 @t492) % 35.76/35.93 (assume-push @p1026 @t495) % 35.76/35.93 (assume-push @p1027 @t504) % 35.76/35.93 (assume-push @p1028 @t358) % 35.76/35.93 (assume-push @p1029 @t327) % 35.76/35.93 (assume-push @p1030 @t355) % 35.76/35.93 (assume-push @p1031 @t341) % 35.76/35.93 (step @p908 :rule cong :premises (@p799 @p846) :args (@t196)) % 35.76/35.93 (step @p909 :rule symm :premises (@p891)) % 35.76/35.93 (step @p910 :rule symm :premises (@p517)) % 35.76/35.93 (step @p911 :rule trans :premises (@p500 @p910)) % 35.76/35.93 (step @p912 :rule symm :premises (@p521)) % 35.76/35.93 (step @p913 :rule trans :premises (@p1023 @p912)) % 35.76/35.93 (step @p914 :rule refl :args (@t192)) % 35.76/35.93 (step @p915 :rule cong :premises (@p914 @p913 @p911) :args (@t193)) % 35.76/35.93 (step @p916 :rule trans :premises (@p915 @p909 @p908)) % 35.76/35.93 (step-pop @p1032 :rule scope :premises (@p916)) % 35.76/35.93 (step-pop @p1033 :rule scope :premises (@p1032)) % 35.76/35.93 (step-pop @p1034 :rule scope :premises (@p1033)) % 35.76/35.93 (step-pop @p1035 :rule scope :premises (@p1034)) % 35.76/35.93 (step-pop @p1036 :rule scope :premises (@p1035)) % 35.76/35.93 (step-pop @p1037 :rule scope :premises (@p1036)) % 35.76/35.93 (step-pop @p1038 :rule scope :premises (@p1037)) % 35.76/35.93 (step-pop @p1039 :rule scope :premises (@p1038)) % 35.76/35.93 (step @p917 :rule process_scope :premises (@p1039) :args (@t194)) % 35.76/35.93 (step @p926 :rule and_intro :premises (@p811 @p828 @p844 @p891 @p521 @p1023 @p517 @p500)) % 35.76/35.93 (step @p927 :rule modus_ponens :premises (@p926 @p917)) % 35.76/35.93 (step-pop @p1040 :rule scope :premises (@p927)) % 35.76/35.93 (step-pop @p1041 :rule scope :premises (@p1040)) % 35.76/35.93 (step-pop @p1042 :rule scope :premises (@p1041)) % 35.76/35.93 (step-pop @p1043 :rule scope :premises (@p1042)) % 35.76/35.93 (step-pop @p1044 :rule scope :premises (@p1043)) % 35.76/35.93 (step-pop @p1045 :rule scope :premises (@p1044)) % 35.76/35.94 (step-pop @p1046 :rule scope :premises (@p1045)) % 35.76/35.94 (step-pop @p1047 :rule scope :premises (@p1046)) % 35.76/35.94 (step @p928 :rule process_scope :premises (@p1047) :args (@t194)) % 35.76/35.94 (step @p937 :rule implies_elim :premises (@p928)) % 35.76/35.94 (step @p938 :rule cnf_and_neg :args (@t511)) % 35.76/35.94 (step @p939 :rule resolution :premises (@p938 @p937) :args (true @t511)) % 35.76/35.94 (step @p940 :rule reordering :premises (@p939) :args ((or @t194 (not @t495) (not @t492) (not @t489) @t516 @t515 @t514 @t513 @t512))) % 35.76/35.94 (step @p941 :rule chain_m_resolution :premises (@p940 @p844 @p828 @p811 @p891 @p521 @p517 @p500 @p465) :args (@t194 (@list false false false false false false false false) (@list @t495 @t492 @t489 @t504 @t358 @t355 @t341 @t327))) % 35.76/35.94 (assume-push @p1048 @t504) % 35.76/35.94 (assume-push @p1049 @t358) % 35.76/35.94 (assume-push @p1050 @t355) % 35.76/35.94 (assume-push @p1051 @t341) % 35.76/35.94 (assume-push @p1052 @t327) % 35.76/35.94 (assume-push @p1053 @t504) % 35.76/35.94 (assume-push @p1054 @t358) % 35.76/35.94 (assume-push @p1055 @t327) % 35.76/35.94 (assume-push @p1056 @t355) % 35.76/35.94 (assume-push @p1057 @t341) % 35.76/35.94 (step @p909 :rule symm :premises (@p891)) % 35.76/35.94 (step @p910 :rule symm :premises (@p517)) % 35.76/35.94 (step @p911 :rule trans :premises (@p500 @p910)) % 35.76/35.94 (step @p912 :rule symm :premises (@p521)) % 35.76/35.94 (step @p952 :rule trans :premises (@p1052 @p912)) % 35.76/35.94 (step @p914 :rule refl :args (@t192)) % 35.76/35.94 (step @p953 :rule cong :premises (@p914 @p952 @p911) :args (@t193)) % 35.76/35.94 (step @p954 :rule trans :premises (@p953 @p909)) % 35.76/35.94 (step-pop @p1058 :rule scope :premises (@p954)) % 35.76/35.94 (step-pop @p1059 :rule scope :premises (@p1058)) % 35.76/35.94 (step-pop @p1060 :rule scope :premises (@p1059)) % 35.76/35.94 (step-pop @p1061 :rule scope :premises (@p1060)) % 35.76/35.94 (step-pop @p1062 :rule scope :premises (@p1061)) % 35.76/35.94 (step @p955 :rule process_scope :premises (@p1062) :args (@t197)) % 35.76/35.94 (step @p961 :rule and_intro :premises (@p891 @p521 @p1052 @p517 @p500)) % 35.76/35.94 (step @p962 :rule modus_ponens :premises (@p961 @p955)) % 35.76/35.94 (step-pop @p1063 :rule scope :premises (@p962)) % 35.76/35.94 (step-pop @p1064 :rule scope :premises (@p1063)) % 35.76/35.94 (step-pop @p1065 :rule scope :premises (@p1064)) % 35.76/35.94 (step-pop @p1066 :rule scope :premises (@p1065)) % 35.76/35.94 (step-pop @p1067 :rule scope :premises (@p1066)) % 35.76/35.94 (step @p963 :rule process_scope :premises (@p1067) :args (@t197)) % 35.76/35.94 (step @p969 :rule implies_elim :premises (@p963)) % 35.76/35.94 (step @p970 :rule cnf_and_neg :args (@t517)) % 35.76/35.94 (step @p971 :rule resolution :premises (@p970 @p969) :args (true @t517)) % 35.76/35.94 (step @p972 :rule reordering :premises (@p971) :args ((or @t197 @t516 @t515 @t514 @t513 @t512))) % 35.76/35.94 (step @p973 :rule chain_m_resolution :premises (@p972 @p891 @p521 @p517 @p500 @p465) :args (@t197 @t310 (@list @t504 @t358 @t355 @t341 @t327))) % 35.76/35.94 (step @p974 :rule cnf_and_neg :args (@t198)) % 35.76/35.94 (step @p975 false :rule chain_m_resolution :premises (@p974 @p973 @p941 @p122) :args (false (@list false false true) (@list @t197 @t194 @t198))) % 35.76/35.94 ) % 35.76/35.94 % SZS output end Proof % 35.76/35.94 % cvc5 exiting %------------------------------------------------------------------------------