%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT322+1 : TPTP v9.2.1. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n006.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:30:18 AM UTC 2026 % Result : Theorem 34.14s 34.67s % Output : Proof 34.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT322+1 : TPTP v9.2.1. Released v3.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n006.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 06:27:49 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.52 %----Proving TF0_NAR, FOF, or CNF % 34.14/34.67 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.14/34.67 --- Run --no-e-matching --full-saturate-quant at 6... % 34.14/34.67 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.14/34.67 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.14/34.67 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.14/34.67 % SZS status Theorem % 34.14/34.67 % SZS output start Proof % 34.14/34.67 ( % 34.14/34.67 (declare-sort $$unsorted 0) % 34.14/34.67 (declare-const tptp.v1_filter_0 (-> $$unsorted $$unsorted Bool)) % 34.14/34.67 (declare-const tptp.v1_binop_1 (-> $$unsorted $$unsorted Bool)) % 34.14/34.67 (declare-const tptp.m2_lattice4 (-> $$unsorted $$unsorted Bool)) % 34.14/34.67 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 34.14/34.67 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.14/34.67 (declare-const tptp.k1_filter_2 (-> $$unsorted $$unsorted)) % 34.14/34.67 (declare-const tptp.m1_filter_0 (-> $$unsorted $$unsorted Bool)) % 34.14/34.67 (declare-const tptp.m1_filter_2 (-> $$unsorted $$unsorted Bool)) % 34.14/34.67 (declare-const tptp.k15_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 34.14/34.67 (declare-const tptp.l1_lattices (-> $$unsorted Bool)) % 34.14/34.67 (declare-const tptp.k7_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 34.14/34.67 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 34.14/34.67 (declare-const tptp.k1_filter_0 (-> $$unsorted $$unsorted)) % 34.14/34.67 (declare-const tptp.k1_xboole_0 $$unsorted) % 34.14/34.67 (declare-const tptp.v12_lattices (-> $$unsorted Bool)) % 34.14/34.67 (declare-const tptp.v16_lattices (-> $$unsorted Bool)) % 34.14/34.67 (declare-const tptp.l2_lattices (-> $$unsorted Bool)) % 34.14/34.67 (declare-const tptp.u2_lattices (-> $$unsorted $$unsorted)) % 34.14/34.67 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 34.14/34.67 (declare-const tptp.v7_lattices (-> $$unsorted Bool)) % 34.14/34.67 (declare-const tptp.v10_lattices (-> $$unsorted Bool)) % 34.14/34.67 (declare-const tptp.u1_lattices (-> $$unsorted $$unsorted)) % 34.14/34.67 (declare-const tptp.v8_lattices (-> $$unsorted Bool)) % 34.14/34.67 (declare-const tptp.v3_lattices (-> $$unsorted Bool)) % 34.14/34.67 (declare-const tptp.v5_lattices (-> $$unsorted Bool)) % 34.14/34.67 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 34.14/34.67 (declare-const tptp.v17_lattices (-> $$unsorted Bool)) % 34.14/34.67 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.14/34.67 (declare-const tptp.v9_lattices (-> $$unsorted Bool)) % 34.14/34.67 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 34.14/34.67 (declare-const tptp.v6_lattices (-> $$unsorted Bool)) % 34.14/34.67 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.14/34.67 (declare-const tptp.v13_lattices (-> $$unsorted Bool)) % 34.14/34.67 (declare-const tptp.l3_lattices (-> $$unsorted Bool)) % 34.14/34.67 (declare-const tptp.v2_filter_0 (-> $$unsorted $$unsorted Bool)) % 34.14/34.67 (declare-const tptp.g3_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.67 (declare-const tptp.k17_filter_2 (-> $$unsorted $$unsorted)) % 34.14/34.67 (declare-const tptp.v1_filter_2 (-> $$unsorted $$unsorted Bool)) % 34.14/34.67 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.14/34.67 (declare-const tptp.v14_lattices (-> $$unsorted Bool)) % 34.14/34.67 (declare-const tptp.r2_filter_2 (-> $$unsorted $$unsorted Bool)) % 34.14/34.67 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 34.14/34.67 (declare-const tptp.v11_lattices (-> $$unsorted Bool)) % 34.14/34.67 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 34.14/34.67 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 34.14/34.67 (declare-const tptp.v4_lattices (-> $$unsorted Bool)) % 34.14/34.67 (declare-const tptp.k1_lattice2 (-> $$unsorted $$unsorted)) % 34.14/34.67 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 34.14/34.67 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 34.14/34.67 (declare-const tptp.v2_binop_1 (-> $$unsorted $$unsorted Bool)) % 34.14/34.67 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 34.14/34.67 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 34.14/34.67 (declare-const tptp.m2_filter_2 (-> $$unsorted $$unsorted Bool)) % 34.14/34.67 (declare-const tptp.v15_lattices (-> $$unsorted Bool)) % 34.14/34.67 (define @t1 () (@var "B" $$unsorted)) % 34.14/34.67 (define @t2 () (@var "A" $$unsorted)) % 34.14/34.67 (define @t3 () (tptp.r2_filter_2 @t2 @t1)) % 34.14/34.67 (define @t4 () (tptp.v1_filter_2 @t1 @t2)) % 34.14/34.67 (define @t5 () (tptp.k17_filter_2 @t2)) % 34.14/34.67 (define @t6 () (= (and (not (= @t1 @t5)) @t4) @t3)) % 34.14/34.67 (define @t7 () (tptp.m2_filter_2 @t1 @t2)) % 34.14/34.67 (define @t8 () (@list @t1)) % 34.14/34.67 (define @t9 () (forall @t8 (=> @t7 @t6))) % 34.14/34.67 (define @t10 () (tptp.l3_lattices @t2)) % 34.14/34.67 (define @t11 () (tptp.v17_lattices @t2)) % 34.14/34.67 (define @t12 () (tptp.v10_lattices @t2)) % 34.14/34.67 (define @t13 () (tptp.v3_struct_0 @t2)) % 34.14/34.67 (define @t14 () (not @t13)) % 34.14/34.67 (define @t15 () (and @t14 @t12 @t11 @t10)) % 34.14/34.67 (define @t16 () (=> @t15 @t9)) % 34.14/34.67 (define @t17 () (@list @t2)) % 34.14/34.67 (define @t18 () (forall @t17 @t16)) % 34.14/34.67 (define @t19 () (not @t18)) % 34.14/34.67 (define @t20 () (tptp.u1_lattices @t2)) % 34.14/34.67 (define @t21 () (tptp.u2_lattices @t2)) % 34.14/34.67 (define @t22 () (tptp.u1_struct_0 @t2)) % 34.14/34.67 (define @t23 () (= @t2 (tptp.g3_lattices @t22 @t21 @t20))) % 34.14/34.67 (define @t24 () (tptp.v3_lattices @t2)) % 34.14/34.67 (define @t25 () (=> @t24 @t23)) % 34.14/34.67 (define @t26 () (forall @t17 (=> @t10 @t25))) % 34.14/34.67 (define @t27 () (tptp.r2_hidden @t2 @t1)) % 34.14/34.67 (define @t28 () (@list @t2 @t1)) % 34.14/34.67 (define @t29 () (tptp.v1_funct_1 @t2)) % 34.14/34.67 (define @t30 () (tptp.v1_xboole_0 @t2)) % 34.14/34.67 (define @t31 () (tptp.v9_lattices @t2)) % 34.14/34.67 (define @t32 () (tptp.v8_lattices @t2)) % 34.14/34.67 (define @t33 () (tptp.v7_lattices @t2)) % 34.14/34.67 (define @t34 () (tptp.v6_lattices @t2)) % 34.14/34.67 (define @t35 () (tptp.v5_lattices @t2)) % 34.14/34.67 (define @t36 () (tptp.v4_lattices @t2)) % 34.14/34.67 (define @t37 () (and @t14 @t36 @t35 @t34 @t33 @t32 @t31)) % 34.14/34.67 (define @t38 () (and @t14 @t12)) % 34.14/34.67 (define @t39 () (=> @t38 @t37)) % 34.14/34.67 (define @t40 () (forall @t17 (=> @t10 @t39))) % 34.14/34.67 (define @t41 () (@var "C" $$unsorted)) % 34.14/34.67 (define @t42 () (tptp.k2_zfmisc_1 @t2 @t1)) % 34.14/34.67 (define @t43 () (tptp.m1_subset_1 @t41 (tptp.k1_zfmisc_1 @t42))) % 34.14/34.67 (define @t44 () (@list @t2 @t1 @t41)) % 34.14/34.67 (define @t45 () (tptp.v1_relat_1 @t2)) % 34.14/34.67 (define @t46 () (and @t45 @t29 (tptp.v2_funct_1 @t2))) % 34.14/34.67 (define @t47 () (and @t45 @t30 @t29)) % 34.14/34.67 (define @t48 () (tptp.v15_lattices @t2)) % 34.14/34.67 (define @t49 () (and @t14 @t48)) % 34.14/34.67 (define @t50 () (tptp.v14_lattices @t2)) % 34.14/34.67 (define @t51 () (tptp.v13_lattices @t2)) % 34.14/34.67 (define @t52 () (and @t14 @t51 @t50)) % 34.14/34.67 (define @t53 () (tptp.v16_lattices @t2)) % 34.14/34.67 (define @t54 () (tptp.v11_lattices @t2)) % 34.14/34.67 (define @t55 () (and @t14 @t11)) % 34.14/34.67 (define @t56 () (tptp.v12_lattices @t2)) % 34.14/34.67 (define @t57 () (tptp.k1_filter_0 @t2)) % 34.14/34.67 (define @t58 () (and @t14 @t12 @t10)) % 34.14/34.67 (define @t59 () (=> @t58 (= @t57 @t22))) % 34.14/34.67 (define @t60 () (forall @t17 @t59)) % 34.14/34.67 (define @t61 () (tptp.k1_lattice2 @t2)) % 34.14/34.67 (define @t62 () (= @t61 (tptp.g3_lattices @t22 @t20 @t21))) % 34.14/34.67 (define @t63 () (forall @t17 (=> @t10 @t62))) % 34.14/34.67 (define @t64 () (tptp.k7_filter_2 @t2 @t1)) % 34.14/34.67 (define @t65 () (tptp.k1_zfmisc_1 @t22)) % 34.14/34.67 (define @t66 () (tptp.m1_subset_1 @t1 @t65)) % 34.14/34.67 (define @t67 () (=> @t66 (= @t64 @t1))) % 34.14/34.67 (define @t68 () (forall @t8 @t67)) % 34.14/34.67 (define @t69 () (=> @t58 @t68)) % 34.14/34.67 (define @t70 () (forall @t17 @t69)) % 34.14/34.67 (define @t71 () (= @t5 @t22)) % 34.14/34.67 (define @t72 () (forall @t17 (=> @t58 @t71))) % 34.14/34.67 (define @t73 () (tptp.g3_lattices @t2 @t1 @t41)) % 34.14/34.67 (define @t74 () (tptp.v3_lattices @t73)) % 34.14/34.67 (define @t75 () (tptp.k2_zfmisc_1 @t2 @t2)) % 34.14/34.67 (define @t76 () (tptp.m1_relset_1 @t41 @t75 @t2)) % 34.14/34.67 (define @t77 () (tptp.v1_funct_2 @t41 @t75 @t2)) % 34.14/34.67 (define @t78 () (tptp.v1_funct_1 @t41)) % 34.14/34.67 (define @t79 () (tptp.m1_relset_1 @t1 @t75 @t2)) % 34.14/34.67 (define @t80 () (tptp.v1_funct_2 @t1 @t75 @t2)) % 34.14/34.67 (define @t81 () (tptp.v1_funct_1 @t1)) % 34.14/34.67 (define @t82 () (and @t81 @t80 @t79 @t78 @t77 @t76)) % 34.14/34.67 (define @t83 () (tptp.k15_filter_2 @t2 @t1)) % 34.14/34.67 (define @t84 () (tptp.m1_filter_2 @t83 @t61)) % 34.14/34.67 (define @t85 () (and @t14 @t12 @t10 @t7)) % 34.14/34.67 (define @t86 () (forall @t28 (=> @t85 @t84))) % 34.14/34.67 (define @t87 () (tptp.k1_filter_2 @t2)) % 34.14/34.67 (define @t88 () (tptp.v3_lattices @t61)) % 34.14/34.67 (define @t89 () (and @t88 (tptp.l3_lattices @t61))) % 34.14/34.67 (define @t90 () (forall @t17 (=> @t10 @t89))) % 34.14/34.67 (define @t91 () (tptp.l1_struct_0 @t2)) % 34.14/34.67 (define @t92 () (tptp.l1_lattices @t2)) % 34.14/34.67 (define @t93 () (tptp.l2_lattices @t2)) % 34.14/34.67 (define @t94 () (and @t92 @t93)) % 34.14/34.67 (define @t95 () (forall @t17 (=> @t10 @t94))) % 34.14/34.67 (define @t96 () (tptp.v1_xboole_0 @t1)) % 34.14/34.67 (define @t97 () (not @t96)) % 34.14/34.67 (define @t98 () (tptp.m1_filter_0 @t1 @t2)) % 34.14/34.67 (define @t99 () (tptp.m2_lattice4 @t1 @t2)) % 34.14/34.67 (define @t100 () (and @t97 @t99)) % 34.14/34.67 (define @t101 () (tptp.m1_filter_2 @t1 @t2)) % 34.14/34.67 (define @t102 () (forall @t8 (=> @t7 @t100))) % 34.14/34.67 (define @t103 () (=> @t58 @t102)) % 34.14/34.67 (define @t104 () (forall @t17 @t103)) % 34.14/34.67 (define @t105 () (forall @t8 (=> @t99 @t66))) % 34.14/34.67 (define @t106 () (=> @t58 @t105)) % 34.14/34.67 (define @t107 () (forall @t17 @t106)) % 34.14/34.67 (define @t108 () (tptp.m2_relset_1 @t41 @t2 @t1)) % 34.14/34.67 (define @t109 () (tptp.k2_zfmisc_1 @t22 @t22)) % 34.14/34.67 (define @t110 () (tptp.v1_funct_2 @t20 @t109 @t22)) % 34.14/34.67 (define @t111 () (tptp.v1_funct_1 @t20)) % 34.14/34.67 (define @t112 () (and @t111 @t110 (tptp.m2_relset_1 @t20 @t109 @t22))) % 34.14/34.67 (define @t113 () (forall @t17 (=> @t92 @t112))) % 34.14/34.67 (define @t114 () (tptp.v1_funct_2 @t21 @t109 @t22)) % 34.14/34.67 (define @t115 () (tptp.v1_funct_1 @t21)) % 34.14/34.67 (define @t116 () (and @t115 @t114 (tptp.m2_relset_1 @t21 @t109 @t22))) % 34.14/34.67 (define @t117 () (forall @t17 (=> @t93 @t116))) % 34.14/34.67 (define @t118 () (tptp.m1_relset_1 @t41 @t2 @t1)) % 34.14/34.67 (define @t119 () (@list @t41)) % 34.14/34.67 (define @t120 () (not (tptp.v3_struct_0 @t61))) % 34.14/34.67 (define @t121 () (and @t120 @t88)) % 34.14/34.67 (define @t122 () (and @t14 @t10)) % 34.14/34.67 (define @t123 () (forall @t17 (=> @t122 @t121))) % 34.14/34.67 (define @t124 () (and @t14 @t91)) % 34.14/34.67 (define @t125 () (tptp.k1_zfmisc_1 @t2)) % 34.14/34.67 (define @t126 () (tptp.v1_partfun1 @t21 @t109 @t22)) % 34.14/34.67 (define @t127 () (tptp.v1_relat_1 @t21)) % 34.14/34.67 (define @t128 () (and @t127 @t115 @t114 (tptp.v1_binop_1 @t21 @t22) @t126)) % 34.14/34.67 (define @t129 () (and @t14 @t36 @t93)) % 34.14/34.67 (define @t130 () (forall @t17 (=> @t129 @t128))) % 34.14/34.67 (define @t131 () (not @t30)) % 34.14/34.67 (define @t132 () (tptp.v10_lattices @t61)) % 34.14/34.67 (define @t133 () (tptp.v9_lattices @t61)) % 34.14/34.67 (define @t134 () (tptp.v8_lattices @t61)) % 34.14/34.67 (define @t135 () (tptp.v7_lattices @t61)) % 34.14/34.67 (define @t136 () (tptp.v6_lattices @t61)) % 34.14/34.67 (define @t137 () (tptp.v5_lattices @t61)) % 34.14/34.67 (define @t138 () (tptp.v4_lattices @t61)) % 34.14/34.67 (define @t139 () (and @t120 @t88 @t138 @t137 @t136 @t135 @t134 @t133 @t132 (tptp.v11_lattices @t61) (tptp.v12_lattices @t61) (tptp.v13_lattices @t61) (tptp.v14_lattices @t61) (tptp.v15_lattices @t61) (tptp.v16_lattices @t61) (tptp.v17_lattices @t61))) % 34.14/34.67 (define @t140 () (forall @t17 (=> @t15 @t139))) % 34.14/34.67 (define @t141 () (tptp.v1_partfun1 @t20 @t109 @t22)) % 34.14/34.67 (define @t142 () (tptp.v1_relat_1 @t20)) % 34.14/34.67 (define @t143 () (and @t142 @t111 @t110 (tptp.v1_binop_1 @t20 @t22) @t141)) % 34.14/34.67 (define @t144 () (and @t14 @t34 @t92)) % 34.14/34.67 (define @t145 () (forall @t17 (=> @t144 @t143))) % 34.14/34.67 (define @t146 () (@var "F" $$unsorted)) % 34.14/34.67 (define @t147 () (@var "E" $$unsorted)) % 34.14/34.67 (define @t148 () (@var "D" $$unsorted)) % 34.14/34.67 (define @t149 () (and (= @t2 @t148) (= @t1 @t147) (= @t41 @t146))) % 34.14/34.67 (define @t150 () (= @t73 (tptp.g3_lattices @t148 @t147 @t146))) % 34.14/34.67 (define @t151 () (@list @t148 @t147 @t146)) % 34.14/34.67 (define @t152 () (forall @t151 (=> @t150 @t149))) % 34.14/34.67 (define @t153 () (=> @t82 @t152)) % 34.14/34.67 (define @t154 () (forall @t44 @t153)) % 34.14/34.67 (define @t155 () (tptp.m1_subset_1 @t1 @t125)) % 34.14/34.67 (define @t156 () (=> @t85 (= @t83 @t64))) % 34.14/34.67 (define @t157 () (forall @t28 @t156)) % 34.14/34.67 (define @t158 () (forall @t8 (= @t101 @t98))) % 34.14/34.67 (define @t159 () (=> @t58 @t158)) % 34.14/34.67 (define @t160 () (forall @t17 @t159)) % 34.14/34.67 (define @t161 () (forall @t44 (= @t108 @t118))) % 34.14/34.67 (define @t162 () (tptp.m1_subset_1 @t2 @t1)) % 34.14/34.67 (define @t163 () (= @t3 (tptp.v1_filter_0 @t83 @t61))) % 34.14/34.67 (define @t164 () (forall @t8 (=> @t7 @t163))) % 34.14/34.67 (define @t165 () (=> @t58 @t164)) % 34.14/34.67 (define @t166 () (forall @t17 @t165)) % 34.14/34.67 (define @t167 () (= @t4 (tptp.v2_filter_0 @t83 @t61))) % 34.14/34.67 (define @t168 () (forall @t8 (=> @t7 @t167))) % 34.14/34.67 (define @t169 () (=> @t58 @t168)) % 34.14/34.67 (define @t170 () (forall @t17 @t169)) % 34.14/34.67 (define @t171 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t41))) % 34.14/34.67 (define @t172 () (= (and (not (= @t1 @t57)) (tptp.v2_filter_0 @t1 @t2)) (tptp.v1_filter_0 @t1 @t2))) % 34.14/34.67 (define @t173 () (forall @t8 (=> @t98 @t172))) % 34.14/34.67 (define @t174 () (=> @t15 @t173)) % 34.14/34.67 (define @t175 () (forall @t17 @t174)) % 34.14/34.67 (define @t176 () (not @t10)) % 34.14/34.67 (define @t177 () (not @t12)) % 34.14/34.67 (define @t178 () (or @t13 @t177 @t176)) % 34.14/34.67 (define @t179 () (not @t14)) % 34.14/34.67 (define @t180 () (or @t179 @t177 @t176)) % 34.14/34.67 (define @t181 () (not @t58)) % 34.14/34.67 (define @t182 () (@var "BOUND_VARIABLE_7909" $$unsorted)) % 34.14/34.67 (define @t183 () (tptp.v1_filter_2 @t182 @t2)) % 34.14/34.67 (define @t184 () (and (not (= @t5 @t182)) @t183)) % 34.14/34.67 (define @t185 () (tptp.r2_filter_2 @t2 @t182)) % 34.14/34.67 (define @t186 () (not (tptp.m2_filter_2 @t182 @t2))) % 34.14/34.67 (define @t187 () (not @t11)) % 34.14/34.67 (define @t188 () (@list @t2 @t182)) % 34.14/34.67 (define @t189 () (forall @t188 (or @t13 @t177 @t187 @t176 @t186 (= @t185 @t184)))) % 34.14/34.67 (define @t190 () (@quantifiers_skolemize @t189 0)) % 34.14/34.67 (define @t191 () (@list @t190)) % 34.14/34.67 (define @t192 () (not (= @t182 @t5))) % 34.14/34.67 (define @t193 () (and @t192 @t183)) % 34.14/34.67 (define @t194 () (= @t193 @t185)) % 34.14/34.67 (define @t195 () (or @t13 @t177 @t187 @t176 @t186 @t194)) % 34.14/34.67 (define @t196 () (or @t186 @t194)) % 34.14/34.67 (define @t197 () (or @t13 @t177 @t187 @t176 @t196)) % 34.14/34.67 (define @t198 () (forall @t188 @t197)) % 34.14/34.67 (define @t199 () (@list @t182)) % 34.14/34.67 (define @t200 () (forall @t199 @t197)) % 34.14/34.67 (define @t201 () (forall @t199 @t196)) % 34.14/34.67 (define @t202 () (@list @t1)) % 34.14/34.67 (define @t203 () (or @t13 @t177 @t187 @t176 @t201)) % 34.14/34.67 (define @t204 () (not @t7)) % 34.14/34.67 (define @t205 () (forall @t8 (or @t204 @t6))) % 34.14/34.67 (define @t206 () (or @t13 @t177 @t187 @t176 @t205)) % 34.14/34.67 (define @t207 () (or @t13 @t177 @t187 @t176)) % 34.14/34.67 (define @t208 () (or @t179 @t177 @t187 @t176)) % 34.14/34.67 (define @t209 () (not @t15)) % 34.14/34.67 (define @t210 () (@quantifiers_skolemize @t189 1)) % 34.14/34.67 (define @t211 () (tptp.v1_filter_2 @t210 @t190)) % 34.14/34.67 (define @t212 () (tptp.k17_filter_2 @t190)) % 34.14/34.67 (define @t213 () (= @t210 @t212)) % 34.14/34.67 (define @t214 () (not @t213)) % 34.14/34.67 (define @t215 () (and @t214 @t211)) % 34.14/34.67 (define @t216 () (tptp.r2_filter_2 @t190 @t210)) % 34.14/34.67 (define @t217 () (= @t216 @t215)) % 34.14/34.67 (define @t218 () (tptp.m2_filter_2 @t210 @t190)) % 34.14/34.67 (define @t219 () (not @t218)) % 34.14/34.67 (define @t220 () (tptp.l3_lattices @t190)) % 34.14/34.67 (define @t221 () (not @t220)) % 34.14/34.67 (define @t222 () (tptp.v17_lattices @t190)) % 34.14/34.67 (define @t223 () (not @t222)) % 34.14/34.67 (define @t224 () (tptp.v10_lattices @t190)) % 34.14/34.67 (define @t225 () (not @t224)) % 34.14/34.67 (define @t226 () (tptp.v3_struct_0 @t190)) % 34.14/34.67 (define @t227 () (or @t226 @t225 @t223 @t221 @t219 @t217)) % 34.14/34.67 (define @t228 () (not @t227)) % 34.14/34.67 (define @t229 () (not @t189)) % 34.14/34.67 (define @t230 () (not (= @t212 @t210))) % 34.14/34.67 (define @t231 () (and @t230 @t211)) % 34.14/34.67 (define @t232 () (= @t216 @t231)) % 34.14/34.67 (define @t233 () (or @t226 @t225 @t223 @t221 @t219 @t232)) % 34.14/34.67 (define @t234 () (not @t233)) % 34.14/34.67 (define @t235 () (@list true)) % 34.14/34.67 (define @t236 () (@list @t227)) % 34.14/34.67 (define @t237 () (not @t226)) % 34.14/34.67 (define @t238 () (tptp.u1_struct_0 @t190)) % 34.14/34.67 (define @t239 () (= @t212 @t238)) % 34.14/34.67 (define @t240 () (or @t226 @t225 @t221 @t239)) % 34.14/34.67 (define @t241 () (@list true false false false)) % 34.14/34.67 (define @t242 () (= @t64 @t83)) % 34.14/34.67 (define @t243 () (or @t13 @t177 @t176 @t204 @t242)) % 34.14/34.67 (define @t244 () (or @t13 @t177 @t176 @t204)) % 34.14/34.67 (define @t245 () (or @t179 @t177 @t176 @t204)) % 34.14/34.67 (define @t246 () (not @t85)) % 34.14/34.67 (define @t247 () (tptp.k7_filter_2 @t190 @t210)) % 34.14/34.67 (define @t248 () (tptp.k15_filter_2 @t190 @t210)) % 34.14/34.67 (define @t249 () (or @t226 @t225 @t221 @t219 (= @t247 @t248))) % 34.14/34.67 (define @t250 () (forall @t28 @t243)) % 34.14/34.67 (define @t251 () (@list @t190 @t210)) % 34.14/34.67 (define @t252 () (= @t248 @t247)) % 34.14/34.67 (define @t253 () (or @t226 @t225 @t221 @t219 @t252)) % 34.14/34.67 (define @t254 () (@list false)) % 34.14/34.67 (define @t255 () (@list true false false false false)) % 34.14/34.67 (define @t256 () (@var "BOUND_VARIABLE_8030" $$unsorted)) % 34.14/34.67 (define @t257 () (= @t256 (tptp.k7_filter_2 @t2 @t256))) % 34.14/34.67 (define @t258 () (not (tptp.m1_subset_1 @t256 @t65))) % 34.14/34.67 (define @t259 () (or @t258 @t257)) % 34.14/34.67 (define @t260 () (or @t13 @t177 @t176 @t259)) % 34.14/34.67 (define @t261 () (forall (@list @t2 @t256) @t260)) % 34.14/34.67 (define @t262 () (@list @t256)) % 34.14/34.67 (define @t263 () (forall @t262 @t260)) % 34.14/34.67 (define @t264 () (forall @t262 @t259)) % 34.14/34.67 (define @t265 () (or @t13 @t177 @t176 @t264)) % 34.14/34.67 (define @t266 () (= @t1 @t64)) % 34.14/34.67 (define @t267 () (forall @t8 (or (not @t66) @t266))) % 34.14/34.67 (define @t268 () (or @t13 @t177 @t176 @t267)) % 34.14/34.67 (define @t269 () (@var "BOUND_VARIABLE_8162" $$unsorted)) % 34.14/34.67 (define @t270 () (tptp.m1_subset_1 @t269 @t65)) % 34.14/34.67 (define @t271 () (not (tptp.m2_lattice4 @t269 @t2))) % 34.14/34.67 (define @t272 () (or @t271 @t270)) % 34.14/34.67 (define @t273 () (or @t13 @t177 @t176 @t272)) % 34.14/34.67 (define @t274 () (forall (@list @t2 @t269) @t273)) % 34.14/34.67 (define @t275 () (@list @t269)) % 34.14/34.67 (define @t276 () (forall @t275 @t273)) % 34.14/34.67 (define @t277 () (forall @t275 @t272)) % 34.14/34.67 (define @t278 () (or @t13 @t177 @t176 @t277)) % 34.14/34.67 (define @t279 () (forall @t8 (or (not @t99) @t66))) % 34.14/34.67 (define @t280 () (or @t13 @t177 @t176 @t279)) % 34.14/34.67 (define @t281 () (@var "BOUND_VARIABLE_8140" $$unsorted)) % 34.14/34.67 (define @t282 () (and (not (tptp.v1_xboole_0 @t281)) (tptp.m2_lattice4 @t281 @t2))) % 34.14/34.67 (define @t283 () (not (tptp.m2_filter_2 @t281 @t2))) % 34.14/34.67 (define @t284 () (or @t283 @t282)) % 34.14/34.67 (define @t285 () (or @t13 @t177 @t176 @t284)) % 34.14/34.67 (define @t286 () (forall (@list @t2 @t281) @t285)) % 34.14/34.67 (define @t287 () (@list @t281)) % 34.14/34.67 (define @t288 () (forall @t287 @t285)) % 34.14/34.67 (define @t289 () (forall @t287 @t284)) % 34.14/34.67 (define @t290 () (or @t13 @t177 @t176 @t289)) % 34.14/34.67 (define @t291 () (forall @t8 (or @t204 @t100))) % 34.14/34.67 (define @t292 () (or @t13 @t177 @t176 @t291)) % 34.14/34.67 (define @t293 () (tptp.m2_lattice4 @t210 @t190)) % 34.14/34.67 (define @t294 () (and (not (tptp.v1_xboole_0 @t210)) @t293)) % 34.14/34.67 (define @t295 () (or @t226 @t225 @t221 @t219 @t294)) % 34.14/34.67 (define @t296 () (tptp.m1_subset_1 @t210 (tptp.k1_zfmisc_1 @t238))) % 34.14/34.67 (define @t297 () (not @t293)) % 34.14/34.67 (define @t298 () (or @t226 @t225 @t221 @t297 @t296)) % 34.14/34.67 (define @t299 () (= @t210 @t247)) % 34.14/34.67 (define @t300 () (not @t296)) % 34.14/34.67 (define @t301 () (or @t226 @t225 @t221 @t300 @t299)) % 34.14/34.67 (define @t302 () (= @t22 @t57)) % 34.14/34.67 (define @t303 () (tptp.k1_lattice2 @t190)) % 34.14/34.67 (define @t304 () (@list @t303)) % 34.14/34.67 (define @t305 () (tptp.l3_lattices @t303)) % 34.14/34.67 (define @t306 () (tptp.v3_lattices @t303)) % 34.14/34.67 (define @t307 () (and @t306 @t305)) % 34.14/34.67 (define @t308 () (or @t221 @t307)) % 34.14/34.67 (define @t309 () (@list false false)) % 34.14/34.67 (define @t310 () (tptp.v17_lattices @t303)) % 34.14/34.67 (define @t311 () (tptp.v10_lattices @t303)) % 34.14/34.67 (define @t312 () (tptp.v3_struct_0 @t303)) % 34.14/34.67 (define @t313 () (not @t312)) % 34.14/34.67 (define @t314 () (and @t313 @t306 (tptp.v4_lattices @t303) (tptp.v5_lattices @t303) (tptp.v6_lattices @t303) (tptp.v7_lattices @t303) (tptp.v8_lattices @t303) (tptp.v9_lattices @t303) @t311 (tptp.v11_lattices @t303) (tptp.v12_lattices @t303) (tptp.v13_lattices @t303) (tptp.v14_lattices @t303) (tptp.v15_lattices @t303) (tptp.v16_lattices @t303) @t310)) % 34.14/34.67 (define @t315 () (or @t226 @t225 @t223 @t221 @t314)) % 34.14/34.67 (define @t316 () (not @t314)) % 34.14/34.67 (define @t317 () (@list @t314)) % 34.14/34.67 (define @t318 () (and @t313 @t306)) % 34.14/34.67 (define @t319 () (or @t226 @t221 @t318)) % 34.14/34.67 (define @t320 () (not @t318)) % 34.14/34.67 (define @t321 () (@list @t318)) % 34.14/34.67 (define @t322 () (tptp.k1_filter_0 @t303)) % 34.14/34.67 (define @t323 () (tptp.u1_struct_0 @t303)) % 34.14/34.67 (define @t324 () (= @t323 @t322)) % 34.14/34.67 (define @t325 () (not @t305)) % 34.14/34.67 (define @t326 () (not @t311)) % 34.14/34.67 (define @t327 () (or @t312 @t326 @t325 @t324)) % 34.14/34.67 (define @t328 () (@var "BOUND_VARIABLE_8301" $$unsorted)) % 34.14/34.67 (define @t329 () (@var "BOUND_VARIABLE_8299" $$unsorted)) % 34.14/34.67 (define @t330 () (@var "BOUND_VARIABLE_8297" $$unsorted)) % 34.14/34.67 (define @t331 () (and (= @t2 @t330) (= @t1 @t329) (= @t41 @t328))) % 34.14/34.67 (define @t332 () (not (= @t73 (tptp.g3_lattices @t330 @t329 @t328)))) % 34.14/34.67 (define @t333 () (not @t76)) % 34.14/34.67 (define @t334 () (not @t77)) % 34.14/34.67 (define @t335 () (not @t78)) % 34.14/34.67 (define @t336 () (not @t79)) % 34.14/34.67 (define @t337 () (not @t80)) % 34.14/34.67 (define @t338 () (not @t81)) % 34.14/34.67 (define @t339 () (or @t332 @t331)) % 34.14/34.67 (define @t340 () (or @t338 @t337 @t336 @t335 @t334 @t333 @t339)) % 34.14/34.67 (define @t341 () (forall (@list @t2 @t1 @t41 @t330 @t329 @t328) @t340)) % 34.14/34.67 (define @t342 () (@list @t330 @t329 @t328)) % 34.14/34.67 (define @t343 () (forall @t342 @t340)) % 34.14/34.67 (define @t344 () (forall @t342 @t339)) % 34.14/34.67 (define @t345 () (or @t338 @t337 @t336 @t335 @t334 @t333 @t344)) % 34.14/34.67 (define @t346 () (forall @t151 (or (not @t150) @t149))) % 34.14/34.67 (define @t347 () (or @t338 @t337 @t336 @t335 @t334 @t333 @t346)) % 34.14/34.67 (define @t348 () (or @t338 @t337 @t336 @t335 @t334 @t333)) % 34.14/34.67 (define @t349 () (tptp.u1_lattices @t303)) % 34.14/34.67 (define @t350 () (tptp.u2_lattices @t303)) % 34.14/34.67 (define @t351 () (tptp.u2_lattices @t190)) % 34.14/34.67 (define @t352 () (tptp.u1_lattices @t190)) % 34.14/34.67 (define @t353 () (not @t24)) % 34.14/34.67 (define @t354 () (tptp.g3_lattices @t323 @t350 @t349)) % 34.14/34.67 (define @t355 () (= @t303 @t354)) % 34.14/34.67 (define @t356 () (not @t306)) % 34.14/34.67 (define @t357 () (or @t325 @t356 @t355)) % 34.14/34.67 (define @t358 () (tptp.g3_lattices @t238 @t352 @t351)) % 34.14/34.67 (define @t359 () (= @t303 @t358)) % 34.14/34.67 (define @t360 () (or @t221 @t359)) % 34.14/34.67 (define @t361 () (tptp.k2_zfmisc_1 @t238 @t238)) % 34.14/34.67 (define @t362 () (tptp.m2_relset_1 @t351 @t361 @t238)) % 34.14/34.67 (define @t363 () (tptp.m1_relset_1 @t351 @t361 @t238)) % 34.14/34.67 (define @t364 () (= @t362 @t363)) % 34.14/34.67 (define @t365 () (= @t363 @t362)) % 34.14/34.67 (define @t366 () (@list @t161)) % 34.14/34.67 (define @t367 () (tptp.l2_lattices @t190)) % 34.14/34.67 (define @t368 () (tptp.l1_lattices @t190)) % 34.14/34.67 (define @t369 () (and @t368 @t367)) % 34.14/34.67 (define @t370 () (or @t221 @t369)) % 34.14/34.67 (define @t371 () (not @t369)) % 34.14/34.67 (define @t372 () (@list @t369)) % 34.14/34.67 (define @t373 () (tptp.v1_funct_2 @t351 @t361 @t238)) % 34.14/34.67 (define @t374 () (tptp.v1_funct_1 @t351)) % 34.14/34.67 (define @t375 () (and @t374 @t373 @t362)) % 34.14/34.67 (define @t376 () (not @t367)) % 34.14/34.67 (define @t377 () (or @t376 @t375)) % 34.14/34.67 (define @t378 () (tptp.m2_relset_1 @t352 @t361 @t238)) % 34.14/34.67 (define @t379 () (tptp.m1_relset_1 @t352 @t361 @t238)) % 34.14/34.67 (define @t380 () (= @t378 @t379)) % 34.14/34.67 (define @t381 () (= @t379 @t378)) % 34.14/34.67 (define @t382 () (tptp.v1_funct_2 @t352 @t361 @t238)) % 34.14/34.67 (define @t383 () (tptp.v1_funct_1 @t352)) % 34.14/34.67 (define @t384 () (and @t383 @t382 @t378)) % 34.14/34.67 (define @t385 () (not @t368)) % 34.14/34.67 (define @t386 () (or @t385 @t384)) % 34.14/34.67 (define @t387 () (not @t92)) % 34.14/34.67 (define @t388 () (not @t34)) % 34.14/34.67 (define @t389 () (or @t179 @t388 @t387)) % 34.14/34.67 (define @t390 () (or @t13 @t177 @t37)) % 34.14/34.67 (define @t391 () (tptp.v6_lattices @t190)) % 34.14/34.67 (define @t392 () (tptp.v4_lattices @t190)) % 34.14/34.67 (define @t393 () (and @t237 @t392 (tptp.v5_lattices @t190) @t391 (tptp.v7_lattices @t190) (tptp.v8_lattices @t190) (tptp.v9_lattices @t190))) % 34.14/34.67 (define @t394 () (or @t221 @t226 @t225 @t393)) % 34.14/34.67 (define @t395 () (not @t393)) % 34.14/34.67 (define @t396 () (@list @t393)) % 34.14/34.67 (define @t397 () (and (tptp.v1_relat_1 @t352) @t383 @t382 (tptp.v1_binop_1 @t352 @t238) (tptp.v1_partfun1 @t352 @t361 @t238))) % 34.14/34.67 (define @t398 () (not @t391)) % 34.14/34.67 (define @t399 () (or @t226 @t398 @t385 @t397)) % 34.14/34.67 (define @t400 () (not @t397)) % 34.14/34.67 (define @t401 () (@list @t397)) % 34.14/34.67 (define @t402 () (not @t93)) % 34.14/34.67 (define @t403 () (not @t36)) % 34.14/34.67 (define @t404 () (or @t179 @t403 @t402)) % 34.14/34.67 (define @t405 () (and (tptp.v1_relat_1 @t351) @t374 @t373 (tptp.v1_binop_1 @t351 @t238) (tptp.v1_partfun1 @t351 @t361 @t238))) % 34.14/34.67 (define @t406 () (not @t392)) % 34.14/34.67 (define @t407 () (or @t226 @t406 @t376 @t405)) % 34.14/34.67 (define @t408 () (not @t405)) % 34.14/34.67 (define @t409 () (@list @t405)) % 34.14/34.67 (define @t410 () (= @t238 @t323)) % 34.14/34.67 (define @t411 () (and @t410 (= @t352 @t350) (= @t351 @t349))) % 34.14/34.67 (define @t412 () (= @t358 @t354)) % 34.14/34.67 (define @t413 () (not @t412)) % 34.14/34.67 (define @t414 () (not @t363)) % 34.14/34.67 (define @t415 () (not @t373)) % 34.14/34.67 (define @t416 () (not @t374)) % 34.14/34.67 (define @t417 () (not @t379)) % 34.14/34.67 (define @t418 () (not @t382)) % 34.14/34.67 (define @t419 () (not @t383)) % 34.14/34.67 (define @t420 () (or @t419 @t418 @t417 @t416 @t415 @t414 @t413 @t411)) % 34.14/34.67 (define @t421 () (@var "BOUND_VARIABLE_8487" $$unsorted)) % 34.14/34.67 (define @t422 () (= (tptp.r2_filter_2 @t2 @t421) (tptp.v1_filter_0 (tptp.k15_filter_2 @t2 @t421) @t61))) % 34.14/34.67 (define @t423 () (not (tptp.m2_filter_2 @t421 @t2))) % 34.14/34.67 (define @t424 () (or @t423 @t422)) % 34.14/34.67 (define @t425 () (or @t13 @t177 @t176 @t424)) % 34.14/34.67 (define @t426 () (forall (@list @t2 @t421) @t425)) % 34.14/34.67 (define @t427 () (@list @t421)) % 34.14/34.67 (define @t428 () (forall @t427 @t425)) % 34.14/34.67 (define @t429 () (forall @t427 @t424)) % 34.14/34.67 (define @t430 () (or @t13 @t177 @t176 @t429)) % 34.14/34.67 (define @t431 () (forall @t8 (or @t204 @t163))) % 34.14/34.67 (define @t432 () (or @t13 @t177 @t176 @t431)) % 34.14/34.67 (define @t433 () (tptp.v1_filter_0 @t248 @t303)) % 34.14/34.67 (define @t434 () (= @t216 @t433)) % 34.14/34.67 (define @t435 () (or @t226 @t225 @t221 @t219 @t434)) % 34.14/34.67 (define @t436 () (not @t434)) % 34.14/34.67 (define @t437 () (not @t216)) % 34.14/34.67 (define @t438 () (@var "BOUND_VARIABLE_8535" $$unsorted)) % 34.14/34.67 (define @t439 () (tptp.v2_filter_0 @t438 @t2)) % 34.14/34.67 (define @t440 () (and (not (= @t57 @t438)) @t439)) % 34.14/34.67 (define @t441 () (tptp.v1_filter_0 @t438 @t2)) % 34.14/34.67 (define @t442 () (not (= @t438 @t57))) % 34.14/34.67 (define @t443 () (and @t442 @t439)) % 34.14/34.67 (define @t444 () (= @t443 @t441)) % 34.14/34.67 (define @t445 () (not (tptp.m1_filter_0 @t438 @t2))) % 34.14/34.67 (define @t446 () (or @t13 @t177 @t187 @t176 @t445 @t444)) % 34.14/34.67 (define @t447 () (or @t445 @t444)) % 34.14/34.67 (define @t448 () (or @t13 @t177 @t187 @t176 @t447)) % 34.14/34.67 (define @t449 () (@list @t2 @t438)) % 34.14/34.67 (define @t450 () (forall @t449 @t448)) % 34.14/34.67 (define @t451 () (@list @t438)) % 34.14/34.67 (define @t452 () (forall @t451 @t448)) % 34.14/34.67 (define @t453 () (forall @t451 @t447)) % 34.14/34.67 (define @t454 () (or @t13 @t177 @t187 @t176 @t453)) % 34.14/34.67 (define @t455 () (forall @t8 (or (not @t98) @t172))) % 34.14/34.67 (define @t456 () (or @t13 @t177 @t187 @t176 @t455)) % 34.14/34.67 (define @t457 () (tptp.v2_filter_0 @t248 @t303)) % 34.14/34.67 (define @t458 () (not (= @t322 @t248))) % 34.14/34.67 (define @t459 () (and @t458 @t457)) % 34.14/34.67 (define @t460 () (= @t433 @t459)) % 34.14/34.67 (define @t461 () (tptp.m1_filter_0 @t248 @t303)) % 34.14/34.67 (define @t462 () (not @t461)) % 34.14/34.67 (define @t463 () (not @t310)) % 34.14/34.67 (define @t464 () (or @t312 @t326 @t463 @t325 @t462 @t460)) % 34.14/34.67 (define @t465 () (forall @t449 (or @t13 @t177 @t187 @t176 @t445 (= @t441 @t440)))) % 34.14/34.67 (define @t466 () (@list @t303 @t248)) % 34.14/34.67 (define @t467 () (= @t248 @t322)) % 34.14/34.67 (define @t468 () (not @t467)) % 34.14/34.67 (define @t469 () (and @t468 @t457)) % 34.14/34.67 (define @t470 () (= @t433 @t469)) % 34.14/34.67 (define @t471 () (or @t312 @t326 @t463 @t325 @t462 @t470)) % 34.14/34.67 (define @t472 () (@var "BOUND_VARIABLE_8463" $$unsorted)) % 34.14/34.67 (define @t473 () (= (tptp.m1_filter_0 @t472 @t2) (tptp.m1_filter_2 @t472 @t2))) % 34.14/34.67 (define @t474 () (or @t13 @t177 @t176 @t473)) % 34.14/34.67 (define @t475 () (forall (@list @t2 @t472) @t474)) % 34.14/34.67 (define @t476 () (@list @t472)) % 34.14/34.67 (define @t477 () (forall @t476 @t474)) % 34.14/34.67 (define @t478 () (forall @t476 @t473)) % 34.14/34.67 (define @t479 () (or @t13 @t177 @t176 @t478)) % 34.14/34.67 (define @t480 () (forall @t8 (= @t98 @t101))) % 34.14/34.67 (define @t481 () (or @t13 @t177 @t176 @t480)) % 34.14/34.67 (define @t482 () (tptp.m1_filter_2 @t248 @t303)) % 34.14/34.67 (define @t483 () (or @t312 @t326 @t325 (= @t461 @t482))) % 34.14/34.67 (define @t484 () (= @t482 @t461)) % 34.14/34.67 (define @t485 () (or @t312 @t326 @t325 @t484)) % 34.14/34.67 (define @t486 () (or @t226 @t225 @t221 @t219 @t482)) % 34.14/34.67 (define @t487 () (not @t470)) % 34.14/34.67 (define @t488 () (not @t433)) % 34.14/34.67 (define @t489 () (not @t469)) % 34.14/34.67 (define @t490 () (@var "BOUND_VARIABLE_8508" $$unsorted)) % 34.14/34.67 (define @t491 () (= (tptp.v1_filter_2 @t490 @t2) (tptp.v2_filter_0 (tptp.k15_filter_2 @t2 @t490) @t61))) % 34.14/34.67 (define @t492 () (not (tptp.m2_filter_2 @t490 @t2))) % 34.14/34.67 (define @t493 () (or @t492 @t491)) % 34.14/34.68 (define @t494 () (or @t13 @t177 @t176 @t493)) % 34.14/34.68 (define @t495 () (forall (@list @t2 @t490) @t494)) % 34.14/34.68 (define @t496 () (@list @t490)) % 34.14/34.68 (define @t497 () (forall @t496 @t494)) % 34.14/34.68 (define @t498 () (forall @t496 @t493)) % 34.14/34.68 (define @t499 () (or @t13 @t177 @t176 @t498)) % 34.14/34.68 (define @t500 () (forall @t8 (or @t204 @t167))) % 34.14/34.68 (define @t501 () (or @t13 @t177 @t176 @t500)) % 34.14/34.68 (define @t502 () (= @t211 @t457)) % 34.14/34.68 (define @t503 () (or @t226 @t225 @t221 @t219 @t502)) % 34.14/34.68 (define @t504 () (not @t502)) % 34.14/34.68 (define @t505 () (not @t457)) % 34.14/34.68 (define @t506 () (not @t211)) % 34.14/34.68 (define @t507 () (not @t214)) % 34.14/34.68 (define @t508 () (not @t410)) % 34.14/34.68 (define @t509 () (not @t299)) % 34.14/34.68 (define @t510 () (not @t324)) % 34.14/34.68 (define @t511 () (not @t252)) % 34.14/34.68 (define @t512 () (not @t239)) % 34.14/34.68 (define @t513 () (not @t468)) % 34.14/34.68 (define @t514 () (and @t239 @t252 @t324 @t299 @t468 @t410)) % 34.14/34.68 (define @t515 () (not @t215)) % 34.14/34.68 (define @t516 () (@list @t215)) % 34.14/34.68 (define @t517 () (@list true false)) % 34.14/34.68 (define @t518 () (and @t214 @t239 @t252 @t324 @t299 @t410)) % 34.14/34.68 (assume @p1 @t19) % 34.14/34.68 (assume @p2 @t26) % 34.14/34.68 (assume @p3 (forall @t28 (=> @t27 (not (tptp.r2_hidden @t1 @t2))))) % 34.14/34.68 (assume @p4 (forall @t17 (=> @t30 @t29))) % 34.14/34.68 (assume @p5 @t40) % 34.14/34.68 (assume @p6 (forall @t44 (=> @t43 (tptp.v1_relat_1 @t41)))) % 34.14/34.68 (assume @p7 (forall @t17 (=> @t47 @t46))) % 34.14/34.68 (assume @p8 (forall @t17 (=> @t10 (=> @t37 @t38)))) % 34.14/34.68 (assume @p9 (forall @t17 (=> @t10 (=> @t52 @t49)))) % 34.14/34.68 (assume @p10 (forall @t17 (=> @t10 (=> @t49 @t52)))) % 34.14/34.68 (assume @p11 (forall @t17 (=> @t10 (=> @t55 (and @t14 @t54 @t51 @t50 @t48 @t53))))) % 34.14/34.68 (assume @p12 (forall @t17 (=> @t10 (=> (and @t14 @t54 @t48 @t53) @t55)))) % 34.14/34.68 (assume @p13 (forall @t17 (=> @t10 (=> (and @t14 @t12 @t54) (and @t14 @t36 @t35 @t34 @t33 @t32 @t31 @t12 @t56))))) % 34.14/34.68 (assume @p14 @t60) % 34.14/34.68 (assume @p15 @t63) % 34.14/34.68 (assume @p16 @t70) % 34.14/34.68 (assume @p17 @t72) % 34.14/34.68 (assume @p18 (forall @t44 (=> @t82 (and @t74 (tptp.l3_lattices @t73))))) % 34.14/34.68 (assume @p19 @t86) % 34.14/34.68 (assume @p20 (forall @t17 (=> @t58 (tptp.m2_filter_2 @t5 @t2)))) % 34.14/34.68 (assume @p21 (forall @t17 (=> @t58 (tptp.m1_filter_0 @t57 @t2)))) % 34.14/34.68 (assume @p22 (forall @t17 (=> @t58 (tptp.m1_filter_2 @t87 @t2)))) % 34.14/34.68 (assume @p23 @t90) % 34.14/34.68 (assume @p24 true) % 34.14/34.68 (assume @p25 (forall @t28 (=> (and @t14 @t12 @t10 @t66) (tptp.m1_subset_1 @t64 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 @t61)))))) % 34.14/34.68 (assume @p26 (forall @t17 (=> @t92 @t91))) % 34.14/34.68 (assume @p27 (forall @t17 (=> @t93 @t91))) % 34.14/34.68 (assume @p28 @t95) % 34.14/34.68 (assume @p29 (forall @t17 (=> @t58 (forall @t8 (=> @t98 (and @t97 @t66)))))) % 34.14/34.68 (assume @p30 (forall @t17 (=> @t58 (forall @t8 (=> @t101 @t100))))) % 34.14/34.68 (assume @p31 @t104) % 34.14/34.68 (assume @p32 @t107) % 34.14/34.68 (assume @p33 (forall @t44 (=> @t108 @t43))) % 34.14/34.68 (assume @p34 @t113) % 34.14/34.68 (assume @p35 @t117) % 34.14/34.68 (assume @p36 (exists @t17 @t92)) % 34.14/34.68 (assume @p37 (exists @t17 @t91)) % 34.14/34.68 (assume @p38 (exists @t17 @t93)) % 34.14/34.68 (assume @p39 (exists @t17 @t10)) % 34.14/34.68 (assume @p40 (forall @t17 (=> @t58 (exists @t8 @t98)))) % 34.14/34.68 (assume @p41 (forall @t17 (=> @t58 (exists @t8 @t101)))) % 34.14/34.68 (assume @p42 (forall @t28 (exists @t119 @t118))) % 34.14/34.68 (assume @p43 (forall @t17 (exists @t8 (tptp.m1_subset_1 @t1 @t2)))) % 34.14/34.68 (assume @p44 (forall @t17 (=> @t58 (exists @t8 @t7)))) % 34.14/34.68 (assume @p45 (forall @t17 (=> @t58 (exists @t8 @t99)))) % 34.14/34.68 (assume @p46 (forall @t28 (exists @t119 @t108))) % 34.14/34.68 (assume @p47 (forall @t28 (=> (and @t14 @t12 @t10 @t97 @t66) (not (tptp.v1_xboole_0 @t64))))) % 34.14/34.68 (assume @p48 @t123) % 34.14/34.68 (assume @p49 (forall @t17 (=> @t124 (not (tptp.v1_xboole_0 @t22))))) % 34.14/34.68 (assume @p50 (forall @t17 (not (tptp.v1_xboole_0 @t125)))) % 34.14/34.68 (assume @p51 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 34.14/34.68 (assume @p52 @t130) % 34.14/34.68 (assume @p53 (forall @t17 (=> (and @t14 @t35 @t93) (and @t127 @t115 @t114 (tptp.v2_binop_1 @t21 @t22) @t126)))) % 34.14/34.68 (assume @p54 (forall @t44 (=> (and @t131 @t81 @t80 @t79 @t78 @t77 @t76) (and (not (tptp.v3_struct_0 @t73)) @t74)))) % 34.14/34.68 (assume @p55 @t140) % 34.14/34.68 (assume @p56 @t145) % 34.14/34.68 (assume @p57 (forall @t28 (=> (and @t131 @t97) (not (tptp.v1_xboole_0 @t42))))) % 34.14/34.68 (assume @p58 (forall @t17 (=> (and @t14 @t33 @t92) (and @t142 @t111 @t110 (tptp.v2_binop_1 @t20 @t22) @t141)))) % 34.14/34.68 (assume @p59 (forall @t17 (=> @t58 (and @t120 @t88 @t138 @t137 @t136 @t135 @t134 @t133 @t132)))) % 34.14/34.68 (assume @p60 @t154) % 34.14/34.68 (assume @p61 (exists @t17 (and @t10 @t14 @t24 @t36 @t35 @t34 @t33 @t32 @t31 @t12 @t54 @t56 @t51 @t50))) % 34.14/34.68 (assume @p62 (exists @t17 (and @t10 @t14 @t24 @t36 @t35 @t34 @t33 @t32 @t31 @t12 @t51 @t50 @t48))) % 34.14/34.68 (assume @p63 (exists @t17 (and @t10 @t14 @t24 @t36 @t35 @t34 @t33 @t32 @t31 @t12 @t51 @t50 @t48 @t53))) % 34.14/34.68 (assume @p64 (exists @t17 (and @t10 @t14 @t24 @t36 @t35 @t34 @t33 @t32 @t31 @t12 @t54 @t51 @t50 @t48 @t53 @t11))) % 34.14/34.68 (assume @p65 (exists @t17 (and @t45 @t29))) % 34.14/34.68 (assume @p66 (forall @t17 (=> @t58 (exists @t8 (and @t99 @t97))))) % 34.14/34.68 (assume @p67 (forall @t17 (=> @t131 (exists @t8 (and @t155 @t97))))) % 34.14/34.68 (assume @p68 (exists @t17 @t30)) % 34.14/34.68 (assume @p69 (exists @t17 @t47)) % 34.14/34.68 (assume @p70 (forall @t17 (exists @t8 (and @t155 @t96)))) % 34.14/34.68 (assume @p71 (exists @t17 @t131)) % 34.14/34.68 (assume @p72 (exists @t17 @t46)) % 34.14/34.68 (assume @p73 (exists @t17 (and @t10 @t24))) % 34.14/34.68 (assume @p74 (exists @t17 (and @t91 @t14))) % 34.14/34.68 (assume @p75 (forall @t17 (=> @t124 (exists @t8 (and @t66 @t97))))) % 34.14/34.68 (assume @p76 (exists @t17 (and @t10 @t14 @t24))) % 34.14/34.68 (assume @p77 (exists @t17 (and @t10 @t14 @t24 @t36 @t35 @t34 @t33 @t32 @t31 @t12))) % 34.14/34.68 (assume @p78 @t157) % 34.14/34.68 (assume @p79 (forall @t17 (=> @t58 (= @t87 @t57)))) % 34.14/34.68 (assume @p80 @t160) % 34.14/34.68 (assume @p81 @t161) % 34.14/34.68 (assume @p82 (forall @t28 (tptp.r1_tarski @t2 @t2))) % 34.14/34.68 (assume @p83 (forall @t28 (=> @t27 @t162))) % 34.14/34.68 (assume @p84 (forall @t28 (=> @t162 (or @t96 @t27)))) % 34.14/34.68 (assume @p85 @t166) % 34.14/34.68 (assume @p86 (forall @t28 (= (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t1)) (tptp.r1_tarski @t2 @t1)))) % 34.14/34.68 (assume @p87 @t170) % 34.14/34.68 (assume @p88 (forall @t44 (=> (and @t27 @t171) (tptp.m1_subset_1 @t2 @t41)))) % 34.14/34.68 (assume @p89 @t175) % 34.14/34.68 (assume @p90 (forall @t44 (not (and @t27 @t171 (tptp.v1_xboole_0 @t41))))) % 34.14/34.68 (assume @p91 (forall @t17 (=> @t30 (= @t2 tptp.k1_xboole_0)))) % 34.14/34.68 (assume @p92 (forall @t28 (not (and @t27 @t96)))) % 34.14/34.68 (assume @p93 (forall @t28 (not (and @t30 (not (= @t2 @t1)) @t96)))) % 34.14/34.68 (step @p94 :rule aci_norm :args ((= (or @t178 @t71) (or @t13 @t177 @t176 @t71)))) % 34.14/34.68 (step @p95 :rule refl :args (@t71)) % 34.14/34.68 (step @p96 :rule refl :args (@t176)) % 34.14/34.68 (step @p97 :rule refl :args (@t177)) % 34.14/34.68 (step @p98 :rule bool-double-not-elim :args (@t13)) % 34.14/34.68 (step @p99 :rule nary_cong :premises (@p98 @p97 @p96) :args (@t180)) % 34.14/34.68 (step @p100 :rule aci_norm :args ((= (or @t179 (or @t177 @t176)) @t180))) % 34.14/34.68 (step @p101 :rule trans :premises (@p100 @p99)) % 34.14/34.68 (step @p102 :rule bool-and-de-morgan :args (@t12 @t10 true)) % 34.14/34.68 (step @p103 :rule refl :args (@t179)) % 34.14/34.68 (step @p104 :rule nary_cong :premises (@p103 @p102) :args ((or @t179 (not (and @t12 @t10))))) % 34.14/34.68 (step @p105 :rule bool-and-de-morgan :args (@t14 @t12 (and @t10))) % 34.14/34.68 (step @p106 :rule trans :premises (@p105 @p104)) % 34.14/34.68 (step @p107 :rule trans :premises (@p106 @p101)) % 34.14/34.68 (step @p108 :rule nary_cong :premises (@p107 @p95) :args ((or @t181 @t71))) % 34.14/34.68 (step @p109 :rule trans :premises (@p108 @p94)) % 34.14/34.68 (step @p110 :rule bool-impl-elim :args (@t58 @t71)) % 34.14/34.68 (step @p111 :rule trans :premises (@p110 @p109)) % 34.14/34.68 (step @p112 :rule cong :premises (@p111) :args (@t72)) % 34.14/34.68 (step @p113 :rule eq_resolve :premises (@p17 @p112)) % 34.14/34.68 (step @p114 :rule instantiate :premises (@p113) :args (@t191)) % 34.14/34.68 (step @p115 :rule eq-symm :args (@t184 @t185)) % 34.14/34.68 (step @p116 :rule refl :args (@t185)) % 34.14/34.68 (step @p117 :rule refl :args (@t183)) % 34.14/34.68 (step @p118 :rule eq-symm :args (@t182 @t5)) % 34.14/34.68 (step @p119 :rule cong :premises (@p118) :args (@t192)) % 34.14/34.68 (step @p120 :rule nary_cong :premises (@p119 @p117) :args (@t193)) % 34.14/34.68 (step @p121 :rule cong :premises (@p120 @p116) :args (@t194)) % 34.14/34.68 (step @p122 :rule trans :premises (@p121 @p115)) % 34.14/34.68 (step @p123 :rule refl :args (@t186)) % 34.14/34.68 (step @p124 :rule refl :args (@t176)) % 34.14/34.68 (step @p125 :rule refl :args (@t187)) % 34.14/34.68 (step @p126 :rule refl :args (@t177)) % 34.14/34.68 (step @p127 :rule refl :args (@t13)) % 34.14/34.68 (step @p128 :rule nary_cong :premises (@p127 @p126 @p125 @p124 @p123 @p122) :args (@t195)) % 34.14/34.68 (step @p129 :rule aci_norm :args ((= @t197 @t195))) % 34.14/34.68 (step @p130 :rule trans :premises (@p129 @p128)) % 34.14/34.68 (step @p131 :rule cong :premises (@p130) :args (@t198)) % 34.14/34.68 (step @p132 :rule quant-merge-prenex :args ((= (forall @t17 @t200) @t198))) % 34.14/34.68 (step @p133 :rule alpha_equiv :args (@t201 (@list @t182) @t202)) % 34.14/34.68 (step @p134 :rule refl :args (@t187)) % 34.14/34.68 (step @p135 :rule refl :args (@t13)) % 34.14/34.68 (step @p136 :rule nary_cong :premises (@p135 @p97 @p134 @p96 @p133) :args (@t203)) % 34.14/34.68 (step @p137 :rule quant-miniscope-or :args ((= @t200 @t203))) % 34.14/34.68 (step @p138 :rule trans :premises (@p137 @p136)) % 34.14/34.68 (step @p139 :rule symm :premises (@p138)) % 34.14/34.68 (step @p140 :rule cong :premises (@p139) :args ((forall @t17 @t206))) % 34.14/34.68 (step @p141 :rule trans :premises (@p140 @p132)) % 34.14/34.68 (step @p142 :rule trans :premises (@p141 @p131)) % 34.14/34.68 (step @p143 :rule aci_norm :args ((= (or @t207 @t205) @t206))) % 34.14/34.68 (step @p144 :rule refl :args (@t205)) % 34.14/34.68 (step @p145 :rule nary_cong :premises (@p98 @p97 @p134 @p96) :args (@t208)) % 34.14/34.68 (step @p146 :rule aci_norm :args ((= (or @t179 (or @t177 (or @t187 @t176))) @t208))) % 34.14/34.68 (step @p147 :rule trans :premises (@p146 @p145)) % 34.14/34.68 (step @p148 :rule bool-and-de-morgan :args (@t11 @t10 true)) % 34.14/34.68 (step @p149 :rule nary_cong :premises (@p97 @p148) :args ((or @t177 (not (and @t11 @t10))))) % 34.14/34.68 (step @p150 :rule bool-and-de-morgan :args (@t12 @t11 (and @t10))) % 34.14/34.68 (step @p151 :rule trans :premises (@p150 @p149)) % 34.14/34.68 (step @p152 :rule nary_cong :premises (@p103 @p151) :args ((or @t179 (not (and @t12 @t11 @t10))))) % 34.14/34.68 (step @p153 :rule bool-and-de-morgan :args (@t14 @t12 (and @t11 @t10))) % 34.14/34.68 (step @p154 :rule trans :premises (@p153 @p152)) % 34.14/34.68 (step @p155 :rule trans :premises (@p154 @p147)) % 34.14/34.68 (step @p156 :rule nary_cong :premises (@p155 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34.14/34.68 (step @p753 :rule refl :args (@t475)) % 34.14/34.68 (step @p754 :rule cong :premises (@p753 @p752) :args ((=> @t475 @t483))) % 34.14/34.68 (assume-push @p960 @t475) % 34.14/34.68 (step @p756 :rule instantiate :premises (@p750) :args (@t466)) % 34.14/34.68 (step-pop @p961 :rule scope :premises (@p756)) % 34.14/34.68 (step @p757 :rule process_scope :premises (@p961) :args (@t483)) % 34.14/34.68 (step @p759 :rule eq_resolve :premises (@p757 @p754)) % 34.14/34.68 (step @p760 :rule implies_elim :premises (@p759)) % 34.14/34.68 (step @p761 :rule chain_m_resolution :premises (@p760 @p750) :args (@t485 @t254 (@list @t475))) % 34.14/34.68 (step @p762 :rule cnf_or_pos :args (@t485)) % 34.14/34.68 (step @p763 :rule reordering :premises (@p762) :args ((or @t312 @t326 @t325 @t484 (not @t485)))) % 34.14/34.68 (step @p764 :rule chain_m_resolution :premises (@p763 @p416 @p398 @p377 @p761) :args (@t484 @t241 (@list @t312 @t311 @t305 @t485))) % 34.14/34.68 (step @p765 :rule aci_norm :args ((= (or @t244 @t84) (or @t13 @t177 @t176 @t204 @t84)))) % 34.14/34.68 (step @p766 :rule refl :args (@t84)) % 34.14/34.68 (step @p767 :rule nary_cong :premises (@p227 @p766) :args ((or @t246 @t84))) % 34.14/34.68 (step @p768 :rule trans :premises (@p767 @p765)) % 34.14/34.68 (step @p769 :rule bool-impl-elim :args (@t85 @t84)) % 34.14/34.68 (step @p770 :rule trans :premises (@p769 @p768)) % 34.14/34.68 (step @p771 :rule cong :premises (@p770) :args (@t86)) % 34.14/34.68 (step @p772 :rule eq_resolve :premises (@p19 @p771)) % 34.14/34.68 (step @p773 :rule instantiate :premises (@p772) :args (@t251)) % 34.14/34.68 (step @p774 :rule cnf_or_pos :args (@t486)) % 34.14/34.68 (step @p775 :rule reordering :premises (@p774) :args ((or @t226 @t225 @t221 @t219 @t482 (not @t486)))) % 34.14/34.68 (step @p776 :rule chain_m_resolution :premises (@p775 @p210 @p208 @p202 @p255 @p773) :args (@t482 @t255 (@list @t226 @t224 @t220 @t218 @t486))) % 34.14/34.68 (step @p777 :rule cnf_equiv_pos1 :args (@t484)) % 34.14/34.68 (step @p778 :rule reordering :premises (@p777) :args ((or (not @t482) @t461 (not @t484)))) % 34.14/34.68 (step @p779 :rule chain_m_resolution :premises (@p778 @p776 @p764) :args (@t461 @t309 (@list @t482 @t484))) % 34.14/34.68 (step @p780 :rule cnf_and_pos :args (@t314 15)) % 34.14/34.68 (step @p781 :rule reordering :premises (@p780) :args ((or @t310 @t316))) % 34.14/34.68 (step @p782 :rule chain_m_resolution :premises (@p781 @p395) :args (@t310 @t254 @t317)) % 34.14/34.68 (step @p783 :rule cnf_or_pos :args (@t471)) % 34.14/34.68 (step @p784 :rule reordering :premises (@p783) :args ((or @t312 @t326 @t463 @t325 @t462 @t470 (not @t471)))) % 34.14/34.68 (step @p785 :rule chain_m_resolution :premises (@p784 @p416 @p398 @p782 @p377 @p779 @p728) :args (@t470 (@list true false false false false false) (@list @t312 @t311 @t310 @t305 @t461 @t471))) % 34.14/34.68 (step @p786 :rule cnf_equiv_pos1 :args (@t470)) % 34.14/34.68 (step @p787 :rule reordering :premises (@p786) :args ((or @t488 @t469 @t487))) % 34.14/34.68 (step @p788 :rule cnf_and_pos :args (@t469 0)) % 34.14/34.68 (step @p789 :rule reordering :premises (@p788) :args ((or @t468 @t489))) % 34.14/34.68 (step @p790 :rule cnf_and_pos :args (@t469 1)) % 34.14/34.68 (step @p791 :rule reordering :premises (@p790) :args ((or @t457 @t489))) % 34.14/34.68 (step @p792 :rule aci_norm :args ((= @t494 (or @t13 @t177 @t176 @t492 @t491)))) % 34.14/34.68 (step @p793 :rule cong :premises (@p792) :args (@t495)) % 34.14/34.68 (step @p794 :rule quant-merge-prenex :args ((= (forall @t17 @t497) @t495))) % 34.14/34.68 (step @p795 :rule alpha_equiv :args (@t498 (@list @t490) @t202)) % 34.14/34.68 (step @p796 :rule nary_cong :premises (@p135 @p97 @p96 @p795) :args (@t499)) % 34.14/34.68 (step @p797 :rule quant-miniscope-or :args ((= @t497 @t499))) % 34.14/34.68 (step @p798 :rule trans :premises (@p797 @p796)) % 34.14/34.68 (step @p799 :rule symm :premises (@p798)) % 34.14/34.68 (step @p800 :rule cong :premises (@p799) :args ((forall @t17 @t501))) % 34.14/34.68 (step @p801 :rule trans :premises (@p800 @p794)) % 34.14/34.68 (step @p802 :rule trans :premises (@p801 @p793)) % 34.14/34.68 (step @p803 :rule aci_norm :args ((= (or @t178 @t500) @t501))) % 34.14/34.68 (step @p804 :rule refl :args (@t500)) % 34.14/34.68 (step @p805 :rule nary_cong :premises (@p107 @p804) :args ((or @t181 @t500))) % 34.14/34.68 (step @p806 :rule trans :premises (@p805 @p803)) % 34.14/34.68 (step @p807 :rule bool-impl-elim :args (@t58 @t500)) % 34.14/34.68 (step @p808 :rule trans :premises (@p807 @p806)) % 34.14/34.68 (step @p809 :rule cong :premises (@p808) :args ((forall @t17 (=> @t58 @t500)))) % 34.14/34.68 (step @p810 :rule trans :premises (@p809 @p802)) % 34.14/34.68 (step @p811 :rule bool-impl-elim :args (@t7 @t167)) % 34.14/34.68 (step @p812 :rule cong :premises (@p811) :args (@t168)) % 34.14/34.68 (step @p813 :rule cong :premises (@p285 @p812) :args (@t169)) % 34.14/34.68 (step @p814 :rule cong :premises (@p813) :args (@t170)) % 34.14/34.68 (step @p815 :rule trans :premises (@p814 @p810)) % 34.14/34.68 (step @p816 :rule eq_resolve :premises (@p87 @p815)) % 34.14/34.68 (step @p817 :rule instantiate :premises (@p816) :args (@t251)) % 34.14/34.68 (step @p818 :rule cnf_or_pos :args (@t503)) % 34.14/34.68 (step @p819 :rule reordering :premises (@p818) :args ((or @t226 @t225 @t221 @t219 @t502 (not @t503)))) % 34.14/34.68 (step @p820 :rule chain_m_resolution :premises (@p819 @p210 @p208 @p202 @p255 @p817) :args (@t502 @t255 (@list @t226 @t224 @t220 @t218 @t503))) % 34.14/34.68 (step @p821 :rule cnf_equiv_pos2 :args (@t502)) % 34.14/34.68 (step @p822 :rule reordering :premises (@p821) :args ((or @t211 @t505 @t504))) % 34.14/34.68 (step @p823 :rule refl :args (@t506)) % 34.14/34.68 (step @p824 :rule bool-double-not-elim :args (@t213)) % 34.14/34.68 (step @p825 :rule refl :args (@t215)) % 34.14/34.68 (step @p826 :rule nary_cong :premises (@p825 @p824 @p823) :args ((or @t215 @t507 @t506))) % 34.14/34.68 (step @p827 :rule cnf_and_neg :args (@t215)) % 34.14/34.68 (step @p828 :rule eq_resolve :premises (@p827 @p826)) % 34.14/34.68 (step @p829 :rule reordering :premises (@p828) :args ((or @t213 @t215 @t506))) % 34.14/34.68 (step @p830 :rule refl :args (@t214)) % 34.14/34.68 (step @p831 :rule refl :args (@t508)) % 34.14/34.68 (step @p832 :rule bool-double-not-elim :args (@t467)) % 34.14/34.68 (step @p833 :rule refl :args (@t509)) % 34.14/34.68 (step @p834 :rule refl :args (@t510)) % 34.14/34.68 (step @p835 :rule refl :args (@t511)) % 34.14/34.68 (step @p836 :rule refl :args (@t512)) % 34.14/34.68 (step @p837 :rule nary_cong :premises (@p836 @p835 @p834 @p833 @p832 @p831 @p830) :args ((or @t512 @t511 @t510 @t509 @t513 @t508 @t214))) % 34.14/34.68 (assume-push @p962 @t239) % 34.14/34.68 (assume-push @p963 @t252) % 34.14/34.68 (assume-push @p964 @t324) % 34.14/34.68 (assume-push @p965 @t299) % 34.14/34.68 (assume-push @p966 @t468) % 34.14/34.68 (assume-push @p967 @t410) % 34.14/34.68 (assume-push @p968 @t468) % 34.14/34.68 (assume-push @p969 @t252) % 34.14/34.68 (assume-push @p970 @t299) % 34.14/34.68 (assume-push @p971 @t324) % 34.14/34.68 (assume-push @p972 @t410) % 34.14/34.68 (assume-push @p973 @t239) % 34.14/34.68 (step @p850 :rule false_intro :premises (@p966)) % 34.14/34.68 (step @p851 :rule trans :premises (@p213 @p637 @p419)) % 34.14/34.68 (step @p852 :rule symm :premises (@p258)) % 34.14/34.68 (step @p853 :rule trans :premises (@p354 @p852)) % 34.14/34.68 (step @p854 :rule cong :premises (@p853 @p851) :args (@t213)) % 34.14/34.68 (step @p855 :rule trans :premises (@p854 @p850)) % 34.14/34.68 (step @p856 :rule false_elim :premises (@p855)) % 34.14/34.68 (step-pop @p974 :rule scope :premises (@p856)) % 34.14/34.68 (step-pop @p975 :rule scope :premises (@p974)) % 34.14/34.68 (step-pop @p976 :rule scope :premises (@p975)) % 34.14/34.68 (step-pop @p977 :rule scope :premises (@p976)) % 34.14/34.68 (step-pop @p978 :rule scope :premises (@p977)) % 34.14/34.68 (step-pop @p979 :rule scope :premises (@p978)) % 34.14/34.68 (step @p857 :rule process_scope :premises (@p979) :args (@t214)) % 34.14/34.68 (step @p864 :rule and_intro :premises (@p966 @p258 @p354 @p419 @p637 @p213)) % 34.14/34.68 (step @p865 :rule modus_ponens :premises (@p864 @p857)) % 34.14/34.68 (step-pop @p980 :rule scope :premises (@p865)) % 34.14/34.68 (step-pop @p981 :rule scope :premises (@p980)) % 34.14/34.68 (step-pop @p982 :rule scope :premises (@p981)) % 34.14/34.68 (step-pop @p983 :rule scope :premises (@p982)) % 34.14/34.68 (step-pop @p984 :rule scope :premises (@p983)) % 34.14/34.68 (step-pop @p985 :rule scope :premises (@p984)) % 34.14/34.68 (step @p866 :rule process_scope :premises (@p985) :args (@t214)) % 34.14/34.68 (step @p873 :rule implies_elim :premises (@p866)) % 34.14/34.68 (step @p874 :rule cnf_and_neg :args (@t514)) % 34.14/34.68 (step @p875 :rule resolution :premises (@p874 @p873) :args (true @t514)) % 34.14/34.68 (step @p876 :rule eq_resolve :premises (@p875 @p837)) % 34.14/34.68 (step @p877 :rule reordering :premises (@p876) :args ((or @t214 @t512 @t511 @t467 @t510 @t509 @t508))) % 34.14/34.68 (step @p878 :rule chain_m_resolution :premises (@p877 @p637 @p419 @p354 @p258 @p213 @p829 @p822 @p820 @p791 @p789 @p787 @p785 @p671 @p669 @p640 @p639) :args (@t437 (@list false false false false false false false false false true false false false false true true) (@list @t410 @t324 @t299 @t252 @t239 @t213 @t211 @t502 @t457 @t467 @t469 @t470 @t433 @t434 @t215 @t217))) % 34.14/34.68 (step @p879 :rule cnf_equiv_neg1 :args (@t217)) % 34.14/34.68 (step @p880 :rule reordering :premises (@p879) :args ((or @t216 @t215 @t217))) % 34.14/34.68 (step @p881 :rule chain_m_resolution :premises (@p880 @p878 @p639) :args (@t215 (@list true true) (@list @t216 @t217))) % 34.14/34.68 (step @p882 :rule cnf_and_pos :args (@t215 0)) % 34.14/34.68 (step @p883 :rule reordering :premises (@p882) :args ((or @t214 @t515))) % 34.14/34.68 (step @p884 :rule chain_m_resolution :premises (@p883 @p881) :args (@t214 @t254 @t516)) % 34.14/34.68 (step @p885 :rule cnf_equiv_pos2 :args (@t434)) % 34.14/34.68 (step @p886 :rule reordering :premises (@p885) :args ((or @t216 @t488 @t436))) % 34.14/34.68 (step @p887 :rule chain_m_resolution :premises (@p886 @p878 @p669) :args (@t488 @t517 (@list @t216 @t434))) % 34.14/34.68 (step @p888 :rule cnf_equiv_pos2 :args (@t470)) % 34.14/34.68 (step @p889 :rule reordering :premises (@p888) :args ((or @t433 @t489 @t487))) % 34.14/34.68 (step @p890 :rule chain_m_resolution :premises (@p889 @p887 @p785) :args (@t489 @t517 (@list @t433 @t470))) % 34.14/34.68 (step @p891 :rule cnf_and_pos :args (@t215 1)) % 34.14/34.68 (step @p892 :rule reordering :premises (@p891) :args ((or @t211 @t515))) % 34.14/34.68 (step @p893 :rule chain_m_resolution :premises (@p892 @p881) :args (@t211 @t254 @t516)) % 34.14/34.68 (step @p894 :rule cnf_equiv_pos1 :args (@t502)) % 34.14/34.68 (step @p895 :rule reordering :premises (@p894) :args ((or @t506 @t457 @t504))) % 34.14/34.68 (step @p896 :rule chain_m_resolution :premises (@p895 @p893 @p820) :args (@t457 @t309 (@list @t211 @t502))) % 34.14/34.68 (step @p897 :rule refl :args (@t505)) % 34.14/34.68 (step @p898 :rule refl :args (@t469)) % 34.14/34.68 (step @p899 :rule nary_cong :premises (@p898 @p832 @p897) :args ((or @t469 @t513 @t505))) % 34.14/34.68 (step @p900 :rule cnf_and_neg :args (@t469)) % 34.14/34.68 (step @p901 :rule eq_resolve :premises (@p900 @p899)) % 34.14/34.68 (step @p902 :rule reordering :premises (@p901) :args ((or @t505 @t467 @t469))) % 34.14/34.68 (step @p903 :rule chain_m_resolution :premises (@p902 @p896 @p890) :args (@t467 (@list false true) (@list @t457 @t469))) % 34.14/34.68 (step @p904 :rule refl :args (@t468)) % 34.14/34.68 (step @p905 :rule nary_cong :premises (@p824 @p836 @p835 @p834 @p833 @p831 @p904) :args ((or @t507 @t512 @t511 @t510 @t509 @t508 @t468))) % 34.14/34.68 (assume-push @p986 @t214) % 34.14/34.68 (assume-push @p987 @t239) % 34.14/34.68 (assume-push @p988 @t252) % 34.14/34.68 (assume-push @p989 @t324) % 34.14/34.68 (assume-push @p990 @t299) % 34.14/34.68 (assume-push @p991 @t410) % 34.14/34.68 (assume-push @p992 @t214) % 34.14/34.68 (assume-push @p993 @t299) % 34.14/34.68 (assume-push @p994 @t252) % 34.14/34.68 (assume-push @p995 @t239) % 34.14/34.68 (assume-push @p996 @t410) % 34.14/34.68 (assume-push @p997 @t324) % 34.14/34.68 (step @p918 :rule false_intro :premises (@p986)) % 34.14/34.68 (step @p919 :rule symm :premises (@p213)) % 34.14/34.68 (step @p920 :rule symm :premises (@p637)) % 34.14/34.68 (step @p921 :rule symm :premises (@p419)) % 34.14/34.68 (step @p922 :rule trans :premises (@p921 @p920 @p919)) % 34.14/34.68 (step @p923 :rule symm :premises (@p354)) % 34.14/34.68 (step @p924 :rule trans :premises (@p258 @p923)) % 34.14/34.68 (step @p925 :rule cong :premises (@p924 @p922) :args (@t467)) % 34.14/34.68 (step @p926 :rule trans :premises (@p925 @p918)) % 34.14/34.68 (step @p927 :rule false_elim :premises (@p926)) % 34.14/34.68 (step-pop @p998 :rule scope :premises (@p927)) % 34.14/34.68 (step-pop @p999 :rule scope :premises (@p998)) % 34.14/34.68 (step-pop @p1000 :rule scope :premises (@p999)) % 34.14/34.68 (step-pop @p1001 :rule scope :premises (@p1000)) % 34.14/34.68 (step-pop @p1002 :rule scope :premises (@p1001)) % 34.14/34.68 (step-pop @p1003 :rule scope :premises (@p1002)) % 34.14/34.68 (step @p928 :rule process_scope :premises (@p1003) :args (@t468)) % 34.14/34.68 (step @p935 :rule and_intro :premises (@p986 @p354 @p258 @p213 @p637 @p419)) % 34.14/34.68 (step @p936 :rule modus_ponens :premises (@p935 @p928)) % 34.14/34.68 (step-pop @p1004 :rule scope :premises (@p936)) % 34.14/34.68 (step-pop @p1005 :rule scope :premises (@p1004)) % 34.14/34.68 (step-pop @p1006 :rule scope :premises (@p1005)) % 34.14/34.68 (step-pop @p1007 :rule scope :premises (@p1006)) % 34.14/34.68 (step-pop @p1008 :rule scope :premises (@p1007)) % 34.14/34.68 (step-pop @p1009 :rule scope :premises (@p1008)) % 34.14/34.68 (step @p937 :rule process_scope :premises (@p1009) :args (@t468)) % 34.14/34.68 (step @p944 :rule implies_elim :premises (@p937)) % 34.14/34.68 (step @p945 :rule cnf_and_neg :args (@t518)) % 34.14/34.68 (step @p946 :rule resolution :premises (@p945 @p944) :args (true @t518)) % 34.14/34.68 (step @p947 :rule eq_resolve :premises (@p946 @p905)) % 34.14/34.68 (step @p948 :rule reordering :premises (@p947) :args ((or @t213 @t512 @t511 @t468 @t510 @t509 @t508))) % 34.14/34.68 (step @p949 false :rule chain_m_resolution :premises (@p948 @p903 @p884 @p637 @p419 @p354 @p258 @p213) :args (false (@list false true false false false false false) (@list @t467 @t213 @t410 @t324 @t299 @t252 @t239))) % 34.14/34.68 ) % 34.14/34.68 % SZS output end Proof % 34.14/34.68 % cvc5 exiting %------------------------------------------------------------------------------