%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT317+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 : n019.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 08:30:16 AM UTC 2026 % Result : Theorem 129.52s 129.74s % Output : Proof 129.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT317+1 : TPTP v9.2.1. Released v3.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n019.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 06:25:49 EDT 2026 % 0.15/0.34 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 129.52/129.74 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 129.52/129.74 --- Run --no-e-matching --full-saturate-quant at 6... % 129.52/129.74 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 129.52/129.74 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 129.52/129.74 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 129.52/129.74 --- Run --trigger-sel=max --full-saturate-quant at 15... % 129.52/129.74 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 129.52/129.74 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 129.52/129.74 --- Run --prenex-quant=none --full-saturate-quant at 30... % 129.52/129.74 % SZS status Theorem % 129.52/129.74 % SZS output start Proof % 129.52/129.74 ( % 129.52/129.74 (declare-sort $$unsorted 0) % 129.52/129.74 (declare-const tptp.v1_finset_1 (-> $$unsorted Bool)) % 129.52/129.74 (declare-const tptp.k1_xboole_0 $$unsorted) % 129.52/129.74 (declare-const tptp.m2_lattice4 (-> $$unsorted $$unsorted Bool)) % 129.52/129.74 (declare-const tptp.m1_filter_0 (-> $$unsorted $$unsorted Bool)) % 129.52/129.74 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 129.52/129.74 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 129.52/129.74 (declare-const tptp.k7_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 129.52/129.74 (declare-const tptp.k1_tarski (-> $$unsorted $$unsorted)) % 129.52/129.74 (declare-const tptp.k1_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 129.52/129.74 (declare-const tptp.k1_funct_1 (-> $$unsorted $$unsorted $$unsorted)) % 129.52/129.74 (declare-const tptp.k4_tarski (-> $$unsorted $$unsorted $$unsorted)) % 129.52/129.74 (declare-const tptp.a_3_0_filter_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 129.52/129.74 (declare-const tptp.k1_lattice2 (-> $$unsorted $$unsorted)) % 129.52/129.74 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 129.52/129.74 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 129.52/129.74 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 129.52/129.74 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 129.52/129.74 (declare-const tptp.k4_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 129.52/129.74 (declare-const tptp.v7_lattices (-> $$unsorted Bool)) % 129.52/129.74 (declare-const tptp.v10_lattices (-> $$unsorted Bool)) % 129.52/129.74 (declare-const tptp.m1_filter_2 (-> $$unsorted $$unsorted Bool)) % 129.52/129.74 (declare-const tptp.v9_lattices (-> $$unsorted Bool)) % 129.52/129.74 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 129.52/129.74 (declare-const tptp.u2_lattices (-> $$unsorted $$unsorted)) % 129.52/129.74 (declare-const tptp.k15_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 129.52/129.74 (declare-const tptp.v8_lattices (-> $$unsorted Bool)) % 129.52/129.74 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 129.52/129.74 (declare-const tptp.k1_binop_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 129.52/129.74 (declare-const tptp.v3_lattices (-> $$unsorted Bool)) % 129.52/129.74 (declare-const tptp.v2_binop_1 (-> $$unsorted $$unsorted Bool)) % 129.52/129.74 (declare-const tptp.k2_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 129.52/129.74 (declare-const tptp.v5_lattices (-> $$unsorted Bool)) % 129.52/129.74 (declare-const tptp.l3_lattices (-> $$unsorted Bool)) % 129.52/129.74 (declare-const tptp.k5_filter_0 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 129.52/129.74 (declare-const tptp.g3_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 129.52/129.74 (declare-const tptp.a_3_0_filter_0 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 129.52/129.74 (declare-const tptp.u1_lattices (-> $$unsorted $$unsorted)) % 129.52/129.74 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 129.52/129.74 (declare-const tptp.k2_binop_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 129.52/129.74 (declare-const tptp.m2_filter_2 (-> $$unsorted $$unsorted Bool)) % 129.52/129.74 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 129.52/129.74 (declare-const tptp.k2_tarski (-> $$unsorted $$unsorted $$unsorted)) % 129.52/129.74 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 129.52/129.74 (declare-const tptp.v1_binop_1 (-> $$unsorted $$unsorted Bool)) % 129.52/129.74 (declare-const tptp.k20_filter_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 129.52/129.74 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 129.52/129.74 (declare-const tptp.l1_lattices (-> $$unsorted Bool)) % 129.52/129.74 (declare-const tptp.v6_lattices (-> $$unsorted Bool)) % 129.52/129.74 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 129.52/129.74 (declare-const tptp.v4_lattices (-> $$unsorted Bool)) % 129.52/129.74 (declare-const tptp.v1_realset1 (-> $$unsorted Bool)) % 129.52/129.74 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 129.52/129.74 (declare-const tptp.k8_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 129.52/129.74 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 129.52/129.74 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 129.52/129.74 (declare-const tptp.k3_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 129.52/129.74 (declare-const tptp.l2_lattices (-> $$unsorted Bool)) % 129.52/129.74 (define @t1 () (@var "C" $$unsorted)) % 129.52/129.74 (define @t2 () (@var "B" $$unsorted)) % 129.52/129.74 (define @t3 () (@var "A" $$unsorted)) % 129.52/129.74 (define @t4 () (tptp.k20_filter_2 @t3 @t2 @t1)) % 129.52/129.74 (define @t5 () (and (tptp.r1_tarski @t2 @t4) (tptp.r1_tarski @t1 @t4))) % 129.52/129.74 (define @t6 () (tptp.m2_filter_2 @t1 @t3)) % 129.52/129.74 (define @t7 () (@list @t1)) % 129.52/129.74 (define @t8 () (forall @t7 (=> @t6 @t5))) % 129.52/129.74 (define @t9 () (tptp.m2_filter_2 @t2 @t3)) % 129.52/129.74 (define @t10 () (=> @t9 @t8)) % 129.52/129.74 (define @t11 () (@list @t2)) % 129.52/129.74 (define @t12 () (forall @t11 @t10)) % 129.52/129.74 (define @t13 () (tptp.l3_lattices @t3)) % 129.52/129.74 (define @t14 () (tptp.v10_lattices @t3)) % 129.52/129.74 (define @t15 () (tptp.v3_struct_0 @t3)) % 129.52/129.74 (define @t16 () (not @t15)) % 129.52/129.74 (define @t17 () (and @t16 @t14 @t13)) % 129.52/129.74 (define @t18 () (=> @t17 @t12)) % 129.52/129.74 (define @t19 () (@list @t3)) % 129.52/129.74 (define @t20 () (forall @t19 @t18)) % 129.52/129.74 (define @t21 () (not @t20)) % 129.52/129.74 (define @t22 () (tptp.u1_lattices @t3)) % 129.52/129.74 (define @t23 () (tptp.u2_lattices @t3)) % 129.52/129.74 (define @t24 () (tptp.u1_struct_0 @t3)) % 129.52/129.74 (define @t25 () (tptp.v3_lattices @t3)) % 129.52/129.74 (define @t26 () (tptp.r2_hidden @t3 @t2)) % 129.52/129.74 (define @t27 () (@list @t3 @t2)) % 129.52/129.74 (define @t28 () (tptp.v1_funct_1 @t3)) % 129.52/129.74 (define @t29 () (tptp.v1_xboole_0 @t3)) % 129.52/129.74 (define @t30 () (tptp.v9_lattices @t3)) % 129.52/129.74 (define @t31 () (tptp.v8_lattices @t3)) % 129.52/129.74 (define @t32 () (tptp.v7_lattices @t3)) % 129.52/129.74 (define @t33 () (tptp.v6_lattices @t3)) % 129.52/129.74 (define @t34 () (tptp.v5_lattices @t3)) % 129.52/129.74 (define @t35 () (tptp.v4_lattices @t3)) % 129.52/129.74 (define @t36 () (and @t16 @t35 @t34 @t33 @t32 @t31 @t30)) % 129.52/129.74 (define @t37 () (and @t16 @t14)) % 129.52/129.74 (define @t38 () (not @t29)) % 129.52/129.74 (define @t39 () (tptp.v1_realset1 @t3)) % 129.52/129.74 (define @t40 () (not @t39)) % 129.52/129.74 (define @t41 () (tptp.k2_zfmisc_1 @t3 @t2)) % 129.52/129.74 (define @t42 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t41))) % 129.52/129.74 (define @t43 () (@list @t3 @t2 @t1)) % 129.52/129.74 (define @t44 () (tptp.v1_relat_1 @t3)) % 129.52/129.74 (define @t45 () (and @t44 @t28 (tptp.v2_funct_1 @t3))) % 129.52/129.74 (define @t46 () (and @t44 @t29 @t28)) % 129.52/129.74 (define @t47 () (tptp.k2_tarski @t3 @t2)) % 129.52/129.74 (define @t48 () (tptp.k3_lattices @t3 @t2 @t1)) % 129.52/129.74 (define @t49 () (tptp.m1_subset_1 @t1 @t24)) % 129.52/129.74 (define @t50 () (tptp.m1_subset_1 @t2 @t24)) % 129.52/129.74 (define @t51 () (tptp.l2_lattices @t3)) % 129.52/129.74 (define @t52 () (and @t16 @t35 @t51 @t50 @t49)) % 129.52/129.74 (define @t53 () (tptp.k4_lattices @t3 @t2 @t1)) % 129.52/129.74 (define @t54 () (tptp.l1_lattices @t3)) % 129.52/129.74 (define @t55 () (and @t16 @t33 @t54 @t50 @t49)) % 129.52/129.74 (define @t56 () (tptp.k1_zfmisc_1 @t24)) % 129.52/129.74 (define @t57 () (tptp.m1_subset_1 @t1 @t56)) % 129.52/129.74 (define @t58 () (tptp.v1_xboole_0 @t1)) % 129.52/129.74 (define @t59 () (not @t58)) % 129.52/129.74 (define @t60 () (and @t59 @t57)) % 129.52/129.74 (define @t61 () (tptp.m1_subset_1 @t2 @t56)) % 129.52/129.74 (define @t62 () (tptp.v1_xboole_0 @t2)) % 129.52/129.74 (define @t63 () (not @t62)) % 129.52/129.74 (define @t64 () (and @t63 @t61)) % 129.52/129.74 (define @t65 () (and @t44 @t28)) % 129.52/129.74 (define @t66 () (tptp.k1_lattices @t3 @t2 @t1)) % 129.52/129.74 (define @t67 () (tptp.k1_lattice2 @t3)) % 129.52/129.74 (define @t68 () (tptp.k2_lattices @t3 @t2 @t1)) % 129.52/129.74 (define @t69 () (tptp.k1_tarski @t3)) % 129.52/129.74 (define @t70 () (tptp.k7_filter_2 @t3 @t2)) % 129.52/129.74 (define @t71 () (=> @t61 (= @t70 @t2))) % 129.52/129.74 (define @t72 () (forall @t11 @t71)) % 129.52/129.74 (define @t73 () (=> @t17 @t72)) % 129.52/129.74 (define @t74 () (forall @t19 @t73)) % 129.52/129.74 (define @t75 () (tptp.k8_filter_2 @t3 @t2)) % 129.52/129.74 (define @t76 () (tptp.k1_zfmisc_1 (tptp.u1_struct_0 @t67))) % 129.52/129.74 (define @t77 () (tptp.m1_subset_1 @t2 @t76)) % 129.52/129.74 (define @t78 () (=> @t77 (= @t75 @t2))) % 129.52/129.74 (define @t79 () (forall @t11 @t78)) % 129.52/129.74 (define @t80 () (=> @t17 @t79)) % 129.52/129.74 (define @t81 () (forall @t19 @t80)) % 129.52/129.74 (define @t82 () (tptp.k5_filter_0 @t3 @t2 @t1)) % 129.52/129.74 (define @t83 () (tptp.g3_lattices @t3 @t2 @t1)) % 129.52/129.74 (define @t84 () (tptp.v3_lattices @t83)) % 129.52/129.74 (define @t85 () (tptp.k2_zfmisc_1 @t3 @t3)) % 129.52/129.74 (define @t86 () (tptp.m1_relset_1 @t1 @t85 @t3)) % 129.52/129.74 (define @t87 () (tptp.v1_funct_2 @t1 @t85 @t3)) % 129.52/129.74 (define @t88 () (tptp.v1_funct_1 @t1)) % 129.52/129.74 (define @t89 () (tptp.m1_relset_1 @t2 @t85 @t3)) % 129.52/129.74 (define @t90 () (tptp.v1_funct_2 @t2 @t85 @t3)) % 129.52/129.74 (define @t91 () (tptp.v1_funct_1 @t2)) % 129.52/129.74 (define @t92 () (and @t91 @t90 @t89 @t88 @t87 @t86)) % 129.52/129.74 (define @t93 () (tptp.k15_filter_2 @t3 @t2)) % 129.52/129.74 (define @t94 () (tptp.m1_filter_2 @t93 @t67)) % 129.52/129.74 (define @t95 () (and @t16 @t14 @t13 @t9)) % 129.52/129.74 (define @t96 () (forall @t27 (=> @t95 @t94))) % 129.52/129.74 (define @t97 () (tptp.v3_lattices @t67)) % 129.52/129.74 (define @t98 () (and @t97 (tptp.l3_lattices @t67))) % 129.52/129.74 (define @t99 () (forall @t19 (=> @t13 @t98))) % 129.52/129.74 (define @t100 () (tptp.m1_subset_1 @t4 @t56)) % 129.52/129.74 (define @t101 () (and @t16 @t14 @t13 @t63 @t61 @t59 @t57)) % 129.52/129.74 (define @t102 () (forall @t43 (=> @t101 @t100))) % 129.52/129.74 (define @t103 () (@var "F" $$unsorted)) % 129.52/129.74 (define @t104 () (@var "E" $$unsorted)) % 129.52/129.74 (define @t105 () (@var "D" $$unsorted)) % 129.52/129.74 (define @t106 () (tptp.k2_binop_1 @t3 @t2 @t1 @t105 @t104 @t103)) % 129.52/129.74 (define @t107 () (and @t38 @t63 (tptp.v1_funct_1 @t105) (tptp.v1_funct_2 @t105 @t41 @t1) (tptp.m1_relset_1 @t105 @t41 @t1) (tptp.m1_subset_1 @t104 @t3) (tptp.m1_subset_1 @t103 @t2))) % 129.52/129.74 (define @t108 () (@list @t3 @t2 @t1 @t105 @t104 @t103)) % 129.52/129.74 (define @t109 () (tptp.m1_subset_1 @t70 @t76)) % 129.52/129.74 (define @t110 () (and @t16 @t14 @t13 @t61)) % 129.52/129.74 (define @t111 () (forall @t27 (=> @t110 @t109))) % 129.52/129.74 (define @t112 () (tptp.l1_struct_0 @t3)) % 129.52/129.74 (define @t113 () (tptp.m1_filter_0 @t2 @t3)) % 129.52/129.74 (define @t114 () (tptp.m2_lattice4 @t2 @t3)) % 129.52/129.74 (define @t115 () (and @t63 @t114)) % 129.52/129.74 (define @t116 () (tptp.m1_filter_2 @t2 @t3)) % 129.52/129.74 (define @t117 () (forall @t11 (=> @t9 @t115))) % 129.52/129.74 (define @t118 () (=> @t17 @t117)) % 129.52/129.74 (define @t119 () (forall @t19 @t118)) % 129.52/129.74 (define @t120 () (forall @t11 (=> @t114 @t61))) % 129.52/129.74 (define @t121 () (=> @t17 @t120)) % 129.52/129.74 (define @t122 () (forall @t19 @t121)) % 129.52/129.74 (define @t123 () (tptp.m2_relset_1 @t1 @t3 @t2)) % 129.52/129.74 (define @t124 () (tptp.k2_zfmisc_1 @t24 @t24)) % 129.52/129.74 (define @t125 () (tptp.v1_funct_2 @t22 @t124 @t24)) % 129.52/129.74 (define @t126 () (tptp.v1_funct_1 @t22)) % 129.52/129.74 (define @t127 () (tptp.v1_funct_2 @t23 @t124 @t24)) % 129.52/129.74 (define @t128 () (tptp.v1_funct_1 @t23)) % 129.52/129.74 (define @t129 () (tptp.m1_relset_1 @t1 @t3 @t2)) % 129.52/129.74 (define @t130 () (not (tptp.v3_struct_0 @t67))) % 129.52/129.74 (define @t131 () (and @t130 @t97)) % 129.52/129.74 (define @t132 () (and @t16 @t13)) % 129.52/129.74 (define @t133 () (forall @t19 (=> @t132 @t131))) % 129.52/129.74 (define @t134 () (and @t16 @t112)) % 129.52/129.74 (define @t135 () (tptp.k1_zfmisc_1 @t3)) % 129.52/129.74 (define @t136 () (tptp.v1_partfun1 @t23 @t124 @t24)) % 129.52/129.74 (define @t137 () (tptp.v1_relat_1 @t23)) % 129.52/129.74 (define @t138 () (not (tptp.v1_xboole_0 @t69))) % 129.52/129.74 (define @t139 () (not (tptp.v1_xboole_0 @t4))) % 129.52/129.74 (define @t140 () (forall @t43 (=> @t101 @t139))) % 129.52/129.74 (define @t141 () (tptp.v1_partfun1 @t22 @t124 @t24)) % 129.52/129.74 (define @t142 () (tptp.v1_relat_1 @t22)) % 129.52/129.74 (define @t143 () (and @t130 @t97 (tptp.v4_lattices @t67) (tptp.v5_lattices @t67) (tptp.v6_lattices @t67) (tptp.v7_lattices @t67) (tptp.v8_lattices @t67) (tptp.v9_lattices @t67) (tptp.v10_lattices @t67))) % 129.52/129.74 (define @t144 () (forall @t19 (=> @t17 @t143))) % 129.52/129.74 (define @t145 () (tptp.r2_hidden @t103 @t105)) % 129.52/129.74 (define @t146 () (tptp.r2_hidden @t104 @t1)) % 129.52/129.74 (define @t147 () (tptp.u1_struct_0 @t2)) % 129.52/129.74 (define @t148 () (tptp.m1_subset_1 @t103 @t147)) % 129.52/129.74 (define @t149 () (tptp.m1_subset_1 @t104 @t147)) % 129.52/129.74 (define @t150 () (@list @t104 @t103)) % 129.52/129.74 (define @t151 () (tptp.k1_zfmisc_1 @t147)) % 129.52/129.74 (define @t152 () (tptp.v1_xboole_0 @t105)) % 129.52/129.74 (define @t153 () (not @t152)) % 129.52/129.74 (define @t154 () (and (not (tptp.v3_struct_0 @t2)) (tptp.v10_lattices @t2) (tptp.l3_lattices @t2) @t59 (tptp.m1_subset_1 @t1 @t151) @t153 (tptp.m1_subset_1 @t105 @t151))) % 129.52/129.74 (define @t155 () (@list @t3 @t2 @t1 @t105)) % 129.52/129.74 (define @t156 () (tptp.m1_subset_1 @t2 @t135)) % 129.52/129.74 (define @t157 () (=> @t95 (= @t93 @t70))) % 129.52/129.74 (define @t158 () (forall @t27 @t157)) % 129.52/129.74 (define @t159 () (forall @t11 (= @t116 @t113))) % 129.52/129.74 (define @t160 () (=> @t17 @t159)) % 129.52/129.74 (define @t161 () (forall @t19 @t160)) % 129.52/129.74 (define @t162 () (tptp.m1_subset_1 @t3 @t2)) % 129.52/129.74 (define @t163 () (= @t3 @t2)) % 129.52/129.74 (define @t164 () (tptp.k8_filter_2 @t3 @t104)) % 129.52/129.74 (define @t165 () (tptp.k8_filter_2 @t3 @t105)) % 129.52/129.74 (define @t166 () (= (tptp.k20_filter_2 @t3 @t165 @t164) (tptp.k5_filter_0 @t67 @t105 @t104))) % 129.52/129.74 (define @t167 () (= (tptp.k20_filter_2 @t67 @t105 @t104) (tptp.k5_filter_0 @t3 @t165 @t164))) % 129.52/129.74 (define @t168 () (tptp.k7_filter_2 @t3 @t1)) % 129.52/129.74 (define @t169 () (tptp.k20_filter_2 @t67 @t70 @t168)) % 129.52/129.74 (define @t170 () (= @t4 (tptp.k5_filter_0 @t67 @t70 @t168))) % 129.52/129.74 (define @t171 () (and @t170 (= @t169 @t82) @t167 @t166)) % 129.52/129.74 (define @t172 () (tptp.m1_subset_1 @t104 @t76)) % 129.52/129.74 (define @t173 () (tptp.v1_xboole_0 @t104)) % 129.52/129.74 (define @t174 () (not @t173)) % 129.52/129.74 (define @t175 () (and @t174 @t172)) % 129.52/129.74 (define @t176 () (=> @t175 @t171)) % 129.52/129.74 (define @t177 () (@list @t104)) % 129.52/129.74 (define @t178 () (forall @t177 @t176)) % 129.52/129.74 (define @t179 () (tptp.m1_subset_1 @t105 @t76)) % 129.52/129.74 (define @t180 () (and @t153 @t179)) % 129.52/129.74 (define @t181 () (=> @t180 @t178)) % 129.52/129.74 (define @t182 () (@list @t105)) % 129.52/129.74 (define @t183 () (forall @t182 @t181)) % 129.52/129.74 (define @t184 () (=> @t60 @t183)) % 129.52/129.74 (define @t185 () (forall @t7 @t184)) % 129.52/129.74 (define @t186 () (=> @t64 @t185)) % 129.52/129.74 (define @t187 () (forall @t11 @t186)) % 129.52/129.74 (define @t188 () (=> @t17 @t187)) % 129.52/129.74 (define @t189 () (forall @t19 @t188)) % 129.52/129.74 (define @t190 () (and (tptp.r1_tarski @t2 @t82) (tptp.r1_tarski @t1 @t82))) % 129.52/129.74 (define @t191 () (tptp.m1_filter_0 @t1 @t3)) % 129.52/129.74 (define @t192 () (forall @t7 (=> @t191 @t190))) % 129.52/129.74 (define @t193 () (=> @t113 @t192)) % 129.52/129.74 (define @t194 () (forall @t11 @t193)) % 129.52/129.74 (define @t195 () (=> @t17 @t194)) % 129.52/129.74 (define @t196 () (forall @t19 @t195)) % 129.52/129.74 (define @t197 () (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t1))) % 129.52/129.74 (define @t198 () (forall @t7 (or (not @t6) @t5))) % 129.52/129.74 (define @t199 () (not @t9)) % 129.52/129.74 (define @t200 () (forall @t11 (or @t199 @t198))) % 129.52/129.74 (define @t201 () (not @t13)) % 129.52/129.74 (define @t202 () (not @t14)) % 129.52/129.74 (define @t203 () (or @t15 @t202 @t201 @t200)) % 129.52/129.74 (define @t204 () (or @t15 @t202 @t201)) % 129.52/129.74 (define @t205 () (not @t16)) % 129.52/129.74 (define @t206 () (or @t205 @t202 @t201)) % 129.52/129.74 (define @t207 () (not @t17)) % 129.52/129.74 (define @t208 () (@quantifiers_skolemize (forall @t19 @t203) 0)) % 129.52/129.74 (define @t209 () (tptp.k20_filter_2 @t208 @t2 @t1)) % 129.52/129.74 (define @t210 () (not (tptp.m2_filter_2 @t1 @t208))) % 129.52/129.74 (define @t211 () (not (tptp.m2_filter_2 @t2 @t208))) % 129.52/129.74 (define @t212 () (forall @t11 (or @t211 (forall @t7 (or @t210 (and (tptp.r1_tarski @t2 @t209) (tptp.r1_tarski @t1 @t209))))))) % 129.52/129.74 (define @t213 () (tptp.l3_lattices @t208)) % 129.52/129.74 (define @t214 () (not @t213)) % 129.52/129.74 (define @t215 () (tptp.v10_lattices @t208)) % 129.52/129.74 (define @t216 () (not @t215)) % 129.52/129.74 (define @t217 () (tptp.v3_struct_0 @t208)) % 129.52/129.74 (define @t218 () (or @t217 @t216 @t214 @t212)) % 129.52/129.74 (define @t219 () (@list true)) % 129.52/129.74 (define @t220 () (@list @t218)) % 129.52/129.74 (define @t221 () (@quantifiers_skolemize @t212 0)) % 129.52/129.74 (define @t222 () (tptp.k20_filter_2 @t208 @t221 @t1)) % 129.52/129.74 (define @t223 () (forall @t7 (or @t210 (and (tptp.r1_tarski @t221 @t222) (tptp.r1_tarski @t1 @t222))))) % 129.52/129.74 (define @t224 () (tptp.m2_filter_2 @t221 @t208)) % 129.52/129.74 (define @t225 () (not @t224)) % 129.52/129.74 (define @t226 () (or @t225 @t223)) % 129.52/129.74 (define @t227 () (@list @t226)) % 129.52/129.74 (define @t228 () (@quantifiers_skolemize @t223 0)) % 129.52/129.74 (define @t229 () (tptp.k20_filter_2 @t208 @t221 @t228)) % 129.52/129.74 (define @t230 () (tptp.r1_tarski @t228 @t229)) % 129.52/129.74 (define @t231 () (tptp.r1_tarski @t221 @t229)) % 129.52/129.74 (define @t232 () (and @t231 @t230)) % 129.52/129.74 (define @t233 () (tptp.m2_filter_2 @t228 @t208)) % 129.52/129.74 (define @t234 () (not @t233)) % 129.52/129.74 (define @t235 () (or @t234 @t232)) % 129.52/129.74 (define @t236 () (@list @t235)) % 129.52/129.74 (define @t237 () (forall @t7 (or (not @t191) @t190))) % 129.52/129.74 (define @t238 () (forall @t11 (or (not @t113) @t237))) % 129.52/129.74 (define @t239 () (tptp.k1_lattice2 @t208)) % 129.52/129.74 (define @t240 () (@list @t239)) % 129.52/129.74 (define @t241 () (@list @t208)) % 129.52/129.74 (define @t242 () (tptp.l3_lattices @t239)) % 129.52/129.74 (define @t243 () (tptp.v3_lattices @t239)) % 129.52/129.74 (define @t244 () (and @t243 @t242)) % 129.52/129.74 (define @t245 () (or @t214 @t244)) % 129.52/129.74 (define @t246 () (@list false false)) % 129.52/129.74 (define @t247 () (@list false)) % 129.52/129.74 (define @t248 () (tptp.v10_lattices @t239)) % 129.52/129.74 (define @t249 () (tptp.v3_struct_0 @t239)) % 129.52/129.74 (define @t250 () (not @t249)) % 129.52/129.74 (define @t251 () (and @t250 @t243 (tptp.v4_lattices @t239) (tptp.v5_lattices @t239) (tptp.v6_lattices @t239) (tptp.v7_lattices @t239) (tptp.v8_lattices @t239) (tptp.v9_lattices @t239) @t248)) % 129.52/129.74 (define @t252 () (or @t217 @t216 @t214 @t251)) % 129.52/129.74 (define @t253 () (@list true false false false)) % 129.52/129.74 (define @t254 () (and @t250 @t243)) % 129.52/129.74 (define @t255 () (or @t217 @t214 @t254)) % 129.52/129.74 (define @t256 () (@list true false false)) % 129.52/129.74 (define @t257 () (tptp.k5_filter_0 @t239 @t2 @t1)) % 129.52/129.74 (define @t258 () (not (tptp.m1_filter_0 @t1 @t239))) % 129.52/129.74 (define @t259 () (tptp.m1_filter_0 @t2 @t239)) % 129.52/129.74 (define @t260 () (forall @t11 (or (not @t259) (forall @t7 (or @t258 (and (tptp.r1_tarski @t2 @t257) (tptp.r1_tarski @t1 @t257))))))) % 129.52/129.74 (define @t261 () (not @t242)) % 129.52/129.74 (define @t262 () (not @t248)) % 129.52/129.74 (define @t263 () (or @t249 @t262 @t261 @t260)) % 129.52/129.74 (define @t264 () (tptp.k15_filter_2 @t208 @t221)) % 129.52/129.74 (define @t265 () (@list @t264)) % 129.52/129.74 (define @t266 () (forall @t11 (= @t113 @t116))) % 129.52/129.74 (define @t267 () (forall @t11 (= @t259 (tptp.m1_filter_2 @t2 @t239)))) % 129.52/129.74 (define @t268 () (or @t249 @t262 @t261 @t267)) % 129.52/129.74 (define @t269 () (tptp.m1_filter_0 @t264 @t239)) % 129.52/129.74 (define @t270 () (tptp.m1_filter_2 @t264 @t239)) % 129.52/129.74 (define @t271 () (= @t269 @t270)) % 129.52/129.74 (define @t272 () (= @t270 @t269)) % 129.52/129.74 (define @t273 () (@list @t267)) % 129.52/129.74 (define @t274 () (or @t15 @t202 @t201 @t199)) % 129.52/129.74 (define @t275 () (or @t205 @t202 @t201 @t199)) % 129.52/129.74 (define @t276 () (not @t95)) % 129.52/129.74 (define @t277 () (@list @t208 @t221)) % 129.52/129.74 (define @t278 () (or @t217 @t216 @t214 @t225 @t270)) % 129.52/129.74 (define @t279 () (@list true false false false false)) % 129.52/129.74 (define @t280 () (tptp.k5_filter_0 @t239 @t264 @t1)) % 129.52/129.74 (define @t281 () (forall @t7 (or @t258 (and (tptp.r1_tarski @t264 @t280) (tptp.r1_tarski @t1 @t280))))) % 129.52/129.74 (define @t282 () (not @t269)) % 129.52/129.74 (define @t283 () (or @t282 @t281)) % 129.52/129.74 (define @t284 () (tptp.k15_filter_2 @t208 @t228)) % 129.52/129.74 (define @t285 () (@list @t284)) % 129.52/129.74 (define @t286 () (tptp.m1_filter_0 @t284 @t239)) % 129.52/129.74 (define @t287 () (tptp.m1_filter_2 @t284 @t239)) % 129.52/129.74 (define @t288 () (= @t286 @t287)) % 129.52/129.74 (define @t289 () (= @t287 @t286)) % 129.52/129.74 (define @t290 () (@list @t208 @t228)) % 129.52/129.74 (define @t291 () (or @t217 @t216 @t214 @t234 @t287)) % 129.52/129.74 (define @t292 () (tptp.k5_filter_0 @t239 @t264 @t284)) % 129.52/129.74 (define @t293 () (tptp.r1_tarski @t284 @t292)) % 129.52/129.74 (define @t294 () (tptp.r1_tarski @t264 @t292)) % 129.52/129.74 (define @t295 () (and @t294 @t293)) % 129.52/129.74 (define @t296 () (not @t286)) % 129.52/129.74 (define @t297 () (or @t296 @t295)) % 129.52/129.74 (define @t298 () (not @t295)) % 129.52/129.74 (define @t299 () (@list @t295)) % 129.52/129.74 (define @t300 () (= @t70 @t93)) % 129.52/129.74 (define @t301 () (or @t15 @t202 @t201 @t199 @t300)) % 129.52/129.74 (define @t302 () (tptp.k7_filter_2 @t208 @t228)) % 129.52/129.74 (define @t303 () (or @t217 @t216 @t214 @t234 (= @t302 @t284))) % 129.52/129.74 (define @t304 () (forall @t27 @t301)) % 129.52/129.74 (define @t305 () (= @t284 @t302)) % 129.52/129.74 (define @t306 () (or @t217 @t216 @t214 @t234 @t305)) % 129.52/129.74 (define @t307 () (@list @t304)) % 129.52/129.74 (define @t308 () (= @t2 @t70)) % 129.52/129.74 (define @t309 () (not @t61)) % 129.52/129.74 (define @t310 () (forall @t11 (or @t309 @t308))) % 129.52/129.74 (define @t311 () (tptp.k7_filter_2 @t208 @t2)) % 129.52/129.74 (define @t312 () (tptp.k1_zfmisc_1 (tptp.u1_struct_0 @t208))) % 129.52/129.74 (define @t313 () (tptp.m1_subset_1 @t2 @t312)) % 129.52/129.74 (define @t314 () (not @t313)) % 129.52/129.74 (define @t315 () (forall @t11 (or @t314 (= @t2 @t311)))) % 129.52/129.74 (define @t316 () (or @t217 @t216 @t214 @t315)) % 129.52/129.74 (define @t317 () (@list @t228)) % 129.52/129.74 (define @t318 () (forall @t11 (or (not @t114) @t61))) % 129.52/129.74 (define @t319 () (tptp.m2_lattice4 @t2 @t208)) % 129.52/129.74 (define @t320 () (forall @t11 (or (not @t319) @t313))) % 129.52/129.74 (define @t321 () (or @t217 @t216 @t214 @t320)) % 129.52/129.74 (define @t322 () (forall @t11 (or @t199 @t115))) % 129.52/129.74 (define @t323 () (forall @t11 (or @t211 (and @t63 @t319)))) % 129.52/129.74 (define @t324 () (or @t217 @t216 @t214 @t323)) % 129.52/129.74 (define @t325 () (tptp.m2_lattice4 @t228 @t208)) % 129.52/129.74 (define @t326 () (tptp.v1_xboole_0 @t228)) % 129.52/129.74 (define @t327 () (not @t326)) % 129.52/129.74 (define @t328 () (and @t327 @t325)) % 129.52/129.74 (define @t329 () (or @t234 @t328)) % 129.52/129.74 (define @t330 () (not @t328)) % 129.52/129.74 (define @t331 () (@list @t328)) % 129.52/129.74 (define @t332 () (tptp.m1_subset_1 @t228 @t312)) % 129.52/129.74 (define @t333 () (not @t325)) % 129.52/129.74 (define @t334 () (or @t333 @t332)) % 129.52/129.74 (define @t335 () (= @t228 @t302)) % 129.52/129.74 (define @t336 () (not @t332)) % 129.52/129.74 (define @t337 () (or @t336 @t335)) % 129.52/129.74 (define @t338 () (tptp.k7_filter_2 @t208 @t221)) % 129.52/129.74 (define @t339 () (or @t217 @t216 @t214 @t225 (= @t338 @t264))) % 129.52/129.74 (define @t340 () (= @t264 @t338)) % 129.52/129.74 (define @t341 () (or @t217 @t216 @t214 @t225 @t340)) % 129.52/129.74 (define @t342 () (@list @t221)) % 129.52/129.74 (define @t343 () (tptp.m2_lattice4 @t221 @t208)) % 129.52/129.74 (define @t344 () (tptp.v1_xboole_0 @t221)) % 129.52/129.74 (define @t345 () (not @t344)) % 129.52/129.74 (define @t346 () (and @t345 @t343)) % 129.52/129.74 (define @t347 () (or @t225 @t346)) % 129.52/129.74 (define @t348 () (not @t346)) % 129.52/129.74 (define @t349 () (@list @t346)) % 129.52/129.74 (define @t350 () (tptp.m1_subset_1 @t221 @t312)) % 129.52/129.74 (define @t351 () (not @t343)) % 129.52/129.74 (define @t352 () (or @t351 @t350)) % 129.52/129.74 (define @t353 () (= @t221 @t338)) % 129.52/129.74 (define @t354 () (not @t350)) % 129.52/129.74 (define @t355 () (or @t354 @t353)) % 129.52/129.74 (define @t356 () (tptp.k5_filter_0 @t239 @t221 @t228)) % 129.52/129.74 (define @t357 () (and @t170 (= @t82 @t169) @t167 @t166)) % 129.52/129.74 (define @t358 () (not @t172)) % 129.52/129.74 (define @t359 () (or @t173 @t358 @t357)) % 129.52/129.74 (define @t360 () (forall @t177 @t359)) % 129.52/129.74 (define @t361 () (not @t179)) % 129.52/129.74 (define @t362 () (or @t152 @t361 @t360)) % 129.52/129.74 (define @t363 () (forall @t182 @t362)) % 129.52/129.74 (define @t364 () (not @t57)) % 129.52/129.74 (define @t365 () (or @t58 @t364 @t363)) % 129.52/129.74 (define @t366 () (forall @t7 @t365)) % 129.52/129.74 (define @t367 () (or @t62 @t309 @t366)) % 129.52/129.74 (define @t368 () (forall @t11 @t367)) % 129.52/129.74 (define @t369 () (not @t63)) % 129.52/129.74 (define @t370 () (not @t59)) % 129.52/129.74 (define @t371 () (or @t370 @t364)) % 129.52/129.74 (define @t372 () (not @t60)) % 129.52/129.74 (define @t373 () (tptp.k8_filter_2 @t208 @t104)) % 129.52/129.74 (define @t374 () (tptp.k8_filter_2 @t208 @t105)) % 129.52/129.74 (define @t375 () (= (tptp.k20_filter_2 @t208 @t374 @t373) (tptp.k5_filter_0 @t239 @t105 @t104))) % 129.52/129.74 (define @t376 () (= (tptp.k20_filter_2 @t239 @t105 @t104) (tptp.k5_filter_0 @t208 @t374 @t373))) % 129.52/129.74 (define @t377 () (tptp.k7_filter_2 @t208 @t1)) % 129.52/129.74 (define @t378 () (tptp.k1_zfmisc_1 (tptp.u1_struct_0 @t239))) % 129.52/129.74 (define @t379 () (not (tptp.m1_subset_1 @t104 @t378))) % 129.52/129.74 (define @t380 () (not (tptp.m1_subset_1 @t105 @t378))) % 129.52/129.74 (define @t381 () (not (tptp.m1_subset_1 @t1 @t312))) % 129.52/129.74 (define @t382 () (forall @t11 (or @t62 @t314 (forall @t7 (or @t58 @t381 (forall @t182 (or @t152 @t380 (forall @t177 (or @t173 @t379 (and (= @t209 (tptp.k5_filter_0 @t239 @t311 @t377)) (= (tptp.k5_filter_0 @t208 @t2 @t1) (tptp.k20_filter_2 @t239 @t311 @t377)) @t376 @t375)))))))))) % 129.52/129.74 (define @t383 () (or @t217 @t216 @t214 @t382)) % 129.52/129.74 (define @t384 () (@list @t229)) % 129.52/129.74 (define @t385 () (or @t15 @t202 @t201 @t62 @t309 @t58 @t364)) % 129.52/129.74 (define @t386 () (or @t205 @t202 @t201 @t369 @t309 @t370 @t364)) % 129.52/129.74 (define @t387 () (not @t101)) % 129.52/129.74 (define @t388 () (@list @t208 @t221 @t228)) % 129.52/129.74 (define @t389 () (tptp.m1_subset_1 @t229 @t312)) % 129.52/129.74 (define @t390 () (or @t217 @t216 @t214 @t344 @t354 @t326 @t336 @t389)) % 129.52/129.74 (define @t391 () (@list true false false true false true false false)) % 129.52/129.74 (define @t392 () (tptp.v1_xboole_0 @t229)) % 129.52/129.74 (define @t393 () (not @t392)) % 129.52/129.74 (define @t394 () (or @t217 @t216 @t214 @t344 @t354 @t326 @t336 @t393)) % 129.52/129.74 (define @t395 () (tptp.k7_filter_2 @t208 @t229)) % 129.52/129.74 (define @t396 () (forall @t7 (or @t58 @t381 (forall @t182 (or @t152 @t380 (forall @t177 (or @t173 @t379 (and (= (tptp.k20_filter_2 @t208 @t229 @t1) (tptp.k5_filter_0 @t239 @t395 @t377)) (= (tptp.k5_filter_0 @t208 @t229 @t1) (tptp.k20_filter_2 @t239 @t395 @t377)) @t376 @t375)))))))) % 129.52/129.74 (define @t397 () (not @t389)) % 129.52/129.74 (define @t398 () (or @t392 @t397 @t396)) % 129.52/129.74 (define @t399 () (= (tptp.k5_filter_0 @t208 @t229 @t229) (tptp.k20_filter_2 @t239 @t395 @t395))) % 129.52/129.74 (define @t400 () (= (tptp.k20_filter_2 @t208 @t229 @t229) (tptp.k5_filter_0 @t239 @t395 @t395))) % 129.52/129.74 (define @t401 () (forall @t182 (or @t152 @t380 (forall @t177 (or @t173 @t379 (and @t400 @t399 @t376 @t375)))))) % 129.52/129.74 (define @t402 () (or @t392 @t397 @t401)) % 129.52/129.74 (define @t403 () (or @t205 @t202 @t201 @t309)) % 129.52/129.74 (define @t404 () (tptp.m1_subset_1 @t338 @t378)) % 129.52/129.74 (define @t405 () (or @t217 @t216 @t214 @t354 @t404)) % 129.52/129.74 (define @t406 () (tptp.m1_subset_1 @t221 @t378)) % 129.52/129.74 (define @t407 () (tptp.k8_filter_2 @t208 @t221)) % 129.52/129.74 (define @t408 () (forall @t177 (or @t173 @t379 (and @t400 @t399 (= (tptp.k20_filter_2 @t239 @t221 @t104) (tptp.k5_filter_0 @t208 @t407 @t373)) (= (tptp.k20_filter_2 @t208 @t407 @t373) (tptp.k5_filter_0 @t239 @t221 @t104)))))) % 129.52/129.74 (define @t409 () (not @t406)) % 129.52/129.74 (define @t410 () (or @t344 @t409 @t408)) % 129.52/129.74 (define @t411 () (tptp.k8_filter_2 @t208 @t228)) % 129.52/129.74 (define @t412 () (tptp.k20_filter_2 @t208 @t407 @t411)) % 129.52/129.74 (define @t413 () (= (tptp.k20_filter_2 @t239 @t221 @t228) (tptp.k5_filter_0 @t208 @t407 @t411))) % 129.52/129.74 (define @t414 () (and @t400 @t399 @t413 (= @t412 @t356))) % 129.52/129.74 (define @t415 () (tptp.m1_subset_1 @t228 @t378)) % 129.52/129.74 (define @t416 () (not @t415)) % 129.52/129.74 (define @t417 () (or @t326 @t416 @t414)) % 129.52/129.74 (define @t418 () (= @t356 @t412)) % 129.52/129.74 (define @t419 () (and @t400 @t399 @t413 @t418)) % 129.52/129.74 (define @t420 () (or @t326 @t416 @t419)) % 129.52/129.74 (define @t421 () (tptp.m1_subset_1 @t302 @t378)) % 129.52/129.74 (define @t422 () (or @t217 @t216 @t214 @t336 @t421)) % 129.52/129.74 (define @t423 () (= @t2 @t75)) % 129.52/129.74 (define @t424 () (forall @t11 (or (not @t77) @t423))) % 129.52/129.74 (define @t425 () (forall @t11 (or (not (tptp.m1_subset_1 @t2 @t378)) (= @t2 (tptp.k8_filter_2 @t208 @t2))))) % 129.52/129.74 (define @t426 () (or @t217 @t216 @t214 @t425)) % 129.52/129.74 (define @t427 () (= @t228 @t411)) % 129.52/129.74 (define @t428 () (or @t416 @t427)) % 129.52/129.74 (define @t429 () (= @t221 @t407)) % 129.52/129.74 (define @t430 () (or @t409 @t429)) % 129.52/129.74 (assume @p1 @t21) % 129.52/129.74 (assume @p2 (forall @t19 (=> @t13 (=> @t25 (= @t3 (tptp.g3_lattices @t24 @t23 @t22)))))) % 129.52/129.74 (assume @p3 (forall @t27 (=> @t26 (not (tptp.r2_hidden @t2 @t3))))) % 129.52/129.74 (assume @p4 (forall @t19 (=> @t29 @t28))) % 129.52/129.74 (assume @p5 (forall @t19 (=> @t13 (=> @t37 @t36)))) % 129.52/129.74 (assume @p6 (forall @t19 (=> @t40 @t38))) % 129.52/129.74 (assume @p7 (forall @t43 (=> @t42 (tptp.v1_relat_1 @t1)))) % 129.52/129.74 (assume @p8 (forall @t19 (=> @t46 @t45))) % 129.52/129.74 (assume @p9 (forall @t19 (=> @t13 (=> @t36 @t37)))) % 129.52/129.74 (assume @p10 (forall @t27 (= @t47 (tptp.k2_tarski @t2 @t3)))) % 129.52/129.74 (assume @p11 (forall @t43 (=> @t52 (= @t48 (tptp.k3_lattices @t3 @t1 @t2))))) % 129.52/129.74 (assume @p12 (forall @t43 (=> @t55 (= @t53 (tptp.k4_lattices @t3 @t1 @t2))))) % 129.52/129.74 (assume @p13 (forall @t19 (=> @t17 (forall @t11 (=> @t64 (forall @t7 (=> @t60 (= @t4 (tptp.a_3_0_filter_2 @t3 @t2 @t1))))))))) % 129.52/129.74 (assume @p14 (forall @t19 (=> @t65 (forall (@list @t2 @t1) (= (tptp.k1_binop_1 @t3 @t2 @t1) (tptp.k1_funct_1 @t3 (tptp.k4_tarski @t2 @t1))))))) % 129.52/129.74 (assume @p15 (forall @t19 (=> (and @t16 @t51) (forall @t11 (=> @t50 (forall @t7 (=> @t49 (= @t66 (tptp.k2_binop_1 @t24 @t24 @t24 @t23 @t2 @t1))))))))) % 129.52/129.74 (assume @p16 (forall @t19 (=> @t13 (= @t67 (tptp.g3_lattices @t24 @t22 @t23))))) % 129.52/129.74 (assume @p17 (forall @t19 (=> (and @t16 @t54) (forall @t11 (=> @t50 (forall @t7 (=> @t49 (= @t68 (tptp.k2_binop_1 @t24 @t24 @t24 @t22 @t2 @t1))))))))) % 129.52/129.74 (assume @p18 (forall @t27 (= (tptp.k4_tarski @t3 @t2) (tptp.k2_tarski @t47 @t69)))) % 129.52/129.74 (assume @p19 @t74) % 129.52/129.74 (assume @p20 @t81) % 129.52/129.74 (assume @p21 (forall @t19 (=> @t17 (forall @t11 (=> @t64 (forall @t7 (=> @t60 (= @t82 (tptp.a_3_0_filter_0 @t3 @t2 @t1))))))))) % 129.52/129.74 (assume @p22 (forall @t43 (=> @t92 (and @t84 (tptp.l3_lattices @t83))))) % 129.52/129.74 (assume @p23 @t96) % 129.52/129.74 (assume @p24 true) % 129.52/129.74 (assume @p25 @t99) % 129.52/129.74 (assume @p26 (forall @t43 (=> (and @t16 @t51 @t50 @t49) (tptp.m1_subset_1 @t66 @t24)))) % 129.52/129.74 (assume @p27 @t102) % 129.52/129.74 (assume @p28 (forall @t108 (=> @t107 (tptp.m1_subset_1 @t106 @t1)))) % 129.52/129.74 (assume @p29 (forall @t43 (=> (and @t16 @t54 @t50 @t49) (tptp.m1_subset_1 @t68 @t24)))) % 129.52/129.74 (assume @p30 (forall @t43 (=> @t52 (tptp.m1_subset_1 @t48 @t24)))) % 129.52/129.74 (assume @p31 (forall @t43 (=> @t55 (tptp.m1_subset_1 @t53 @t24)))) % 129.52/129.74 (assume @p32 (forall @t43 (=> @t101 (tptp.m1_subset_1 @t82 @t56)))) % 129.52/129.74 (assume @p33 @t111) % 129.52/129.74 (assume @p34 (forall @t27 (=> (and @t16 @t14 @t13 @t77) (tptp.m1_subset_1 @t75 @t56)))) % 129.52/129.74 (assume @p35 (forall @t19 (=> @t54 @t112))) % 129.52/129.74 (assume @p36 (forall @t19 (=> @t51 @t112))) % 129.52/129.74 (assume @p37 (forall @t19 (=> @t13 (and @t54 @t51)))) % 129.52/129.74 (assume @p38 (forall @t19 (=> @t17 (forall @t11 (=> @t113 @t64))))) % 129.52/129.74 (assume @p39 (forall @t19 (=> @t17 (forall @t11 (=> @t116 @t115))))) % 129.52/129.74 (assume @p40 @t119) % 129.52/129.74 (assume @p41 @t122) % 129.52/129.74 (assume @p42 (forall @t43 (=> @t123 @t42))) % 129.52/129.74 (assume @p43 (forall @t19 (=> @t54 (and @t126 @t125 (tptp.m2_relset_1 @t22 @t124 @t24))))) % 129.52/129.74 (assume @p44 (forall @t19 (=> @t51 (and @t128 @t127 (tptp.m2_relset_1 @t23 @t124 @t24))))) % 129.52/129.74 (assume @p45 (exists @t19 @t54)) % 129.52/129.74 (assume @p46 (exists @t19 @t112)) % 129.52/129.74 (assume @p47 (exists @t19 @t51)) % 129.52/129.74 (assume @p48 (exists @t19 @t13)) % 129.52/129.74 (assume @p49 (forall @t19 (=> @t17 (exists @t11 @t113)))) % 129.52/129.74 (assume @p50 (forall @t19 (=> @t17 (exists @t11 @t116)))) % 129.52/129.74 (assume @p51 (forall @t27 (exists @t7 @t129))) % 129.52/129.74 (assume @p52 (forall @t19 (exists @t11 (tptp.m1_subset_1 @t2 @t3)))) % 129.52/129.74 (assume @p53 (forall @t19 (=> @t17 (exists @t11 @t9)))) % 129.52/129.74 (assume @p54 (forall @t19 (=> @t17 (exists @t11 @t114)))) % 129.52/129.74 (assume @p55 (forall @t27 (exists @t7 @t123))) % 129.52/129.74 (assume @p56 (forall @t43 (=> @t101 (not (tptp.v1_xboole_0 @t82))))) % 129.52/129.74 (assume @p57 (forall @t27 (=> (and @t16 @t14 @t13 @t63 @t61) (not (tptp.v1_xboole_0 @t70))))) % 129.52/129.74 (assume @p58 @t133) % 129.52/129.74 (assume @p59 (forall @t19 (=> @t134 (not (tptp.v1_xboole_0 @t24))))) % 129.52/129.74 (assume @p60 (forall @t19 (not (tptp.v1_xboole_0 @t135)))) % 129.52/129.74 (assume @p61 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 129.52/129.74 (assume @p62 (forall @t27 (=> (and @t16 @t14 @t13 @t63 @t77) (not (tptp.v1_xboole_0 @t75))))) % 129.52/129.74 (assume @p63 (forall @t19 (=> (and @t16 @t35 @t51) (and @t137 @t128 @t127 (tptp.v1_binop_1 @t23 @t24) @t136)))) % 129.52/129.74 (assume @p64 (forall @t19 @t138)) % 129.52/129.74 (assume @p65 @t140) % 129.52/129.74 (assume @p66 (forall @t19 (=> (and @t16 @t34 @t51) (and @t137 @t128 @t127 (tptp.v2_binop_1 @t23 @t24) @t136)))) % 129.52/129.74 (assume @p67 (forall @t43 (=> (and @t38 @t91 @t90 @t89 @t88 @t87 @t86) (and (not (tptp.v3_struct_0 @t83)) @t84)))) % 129.52/129.74 (assume @p68 (forall @t19 (and @t138 (tptp.v1_finset_1 @t69) (tptp.v1_realset1 @t69)))) % 129.52/129.74 (assume @p69 (forall @t27 (not (tptp.v1_xboole_0 @t47)))) % 129.52/129.74 (assume @p70 (forall @t19 (=> (and @t16 @t33 @t54) (and @t142 @t126 @t125 (tptp.v1_binop_1 @t22 @t24) @t141)))) % 129.52/129.74 (assume @p71 (forall @t27 (=> (and @t38 @t63) (not (tptp.v1_xboole_0 @t41))))) % 129.52/129.74 (assume @p72 (forall @t19 (=> (and @t16 @t32 @t54) (and @t142 @t126 @t125 (tptp.v2_binop_1 @t22 @t24) @t141)))) % 129.52/129.74 (assume @p73 @t144) % 129.52/129.74 (assume @p74 (forall @t155 (=> @t154 (= (tptp.r2_hidden @t3 (tptp.a_3_0_filter_0 @t2 @t1 @t105)) (exists @t150 (and @t149 @t148 (= @t3 (tptp.k4_lattices @t2 @t104 @t103)) @t146 @t145)))))) % 129.52/129.74 (assume @p75 (forall @t155 (=> @t154 (= (tptp.r2_hidden @t3 (tptp.a_3_0_filter_2 @t2 @t1 @t105)) (exists @t150 (and @t149 @t148 (= @t3 (tptp.k3_lattices @t2 @t104 @t103)) @t146 @t145)))))) % 129.52/129.74 (assume @p76 (forall @t43 (=> @t92 (forall (@list @t105 @t104 @t103) (=> (= @t83 (tptp.g3_lattices @t105 @t104 @t103)) (and (= @t3 @t105) (= @t2 @t104) (= @t1 @t103))))))) % 129.52/129.74 (assume @p77 (exists @t19 @t65)) % 129.52/129.74 (assume @p78 (forall @t19 (=> @t17 (exists @t11 (and @t114 @t63))))) % 129.52/129.74 (assume @p79 (exists @t19 (and @t38 @t39))) % 129.52/129.74 (assume @p80 (forall @t19 (=> @t38 (exists @t11 (and @t156 @t63))))) % 129.52/129.74 (assume @p81 (exists @t19 @t29)) % 129.52/129.74 (assume @p82 (exists @t19 @t46)) % 129.52/129.74 (assume @p83 (exists @t19 (and @t38 @t40))) % 129.52/129.74 (assume @p84 (forall @t19 (exists @t11 (and @t156 @t62)))) % 129.52/129.74 (assume @p85 (exists @t19 @t38)) % 129.52/129.74 (assume @p86 (exists @t19 @t45)) % 129.52/129.74 (assume @p87 (exists @t19 (and @t13 @t25))) % 129.52/129.74 (assume @p88 (exists @t19 (and @t112 @t16))) % 129.52/129.74 (assume @p89 (forall @t19 (=> @t134 (exists @t11 (and @t61 @t63))))) % 129.52/129.74 (assume @p90 (exists @t19 (and @t13 @t16 @t25))) % 129.52/129.74 (assume @p91 (exists @t19 (and @t13 @t16 @t25 @t35 @t34 @t33 @t32 @t31 @t30 @t14))) % 129.52/129.74 (assume @p92 @t158) % 129.52/129.74 (assume @p93 (forall @t108 (=> @t107 (= @t106 (tptp.k1_binop_1 @t105 @t104 @t103))))) % 129.52/129.74 (assume @p94 (forall @t43 (=> @t52 (= @t48 @t66)))) % 129.52/129.74 (assume @p95 (forall @t43 (=> @t55 (= @t53 @t68)))) % 129.52/129.74 (assume @p96 @t161) % 129.52/129.74 (assume @p97 (forall @t43 (= @t123 @t129))) % 129.52/129.74 (assume @p98 (forall @t27 (tptp.r1_tarski @t3 @t3))) % 129.52/129.74 (assume @p99 (forall @t27 (=> @t26 @t162))) % 129.52/129.74 (assume @p100 (forall @t27 (=> @t162 (or @t62 @t26)))) % 129.52/129.74 (assume @p101 (forall @t27 (=> (forall @t7 (= (tptp.r2_hidden @t1 @t3) (tptp.r2_hidden @t1 @t2))) @t163))) % 129.52/129.74 (assume @p102 (forall @t27 (= (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 @t2)) (tptp.r1_tarski @t3 @t2)))) % 129.52/129.74 (assume @p103 @t189) % 129.52/129.74 (assume @p104 @t196) % 129.52/129.74 (assume @p105 (forall @t43 (=> (and @t26 @t197) (tptp.m1_subset_1 @t3 @t1)))) % 129.52/129.74 (assume @p106 (forall @t43 (not (and @t26 @t197 @t58)))) % 129.52/129.74 (assume @p107 (forall @t19 (=> @t29 (= @t3 tptp.k1_xboole_0)))) % 129.52/129.74 (assume @p108 (forall @t27 (not (and @t26 @t62)))) % 129.52/129.74 (assume @p109 (forall @t27 (not (and @t29 (not @t163) @t62)))) % 129.52/129.74 (step @p110 :rule aci_norm :args ((= (or @t204 @t200) @t203))) % 129.52/129.74 (step @p111 :rule refl :args (@t200)) % 129.52/129.74 (step @p112 :rule refl :args (@t201)) % 129.52/129.74 (step @p113 :rule refl :args (@t202)) % 129.52/129.74 (step @p114 :rule bool-double-not-elim :args (@t15)) % 129.52/129.74 (step @p115 :rule nary_cong :premises (@p114 @p113 @p112) :args (@t206)) % 129.52/129.74 (step @p116 :rule aci_norm :args ((= (or @t205 (or @t202 @t201)) @t206))) % 129.52/129.74 (step @p117 :rule trans :premises (@p116 @p115)) % 129.52/129.74 (step @p118 :rule bool-and-de-morgan :args (@t14 @t13 true)) % 129.52/129.74 (step @p119 :rule refl :args (@t205)) % 129.52/129.74 (step @p120 :rule nary_cong :premises (@p119 @p118) :args ((or @t205 (not (and @t14 @t13))))) % 129.52/129.74 (step @p121 :rule bool-and-de-morgan :args (@t16 @t14 (and @t13))) % 129.52/129.74 (step @p122 :rule trans :premises (@p121 @p120)) % 129.52/129.74 (step @p123 :rule trans :premises (@p122 @p117)) % 129.52/129.74 (step @p124 :rule nary_cong :premises (@p123 @p111) :args ((or @t207 @t200))) % 129.52/129.74 (step @p125 :rule trans :premises (@p124 @p110)) % 129.52/129.74 (step @p126 :rule bool-impl-elim :args (@t17 @t200)) % 129.52/129.74 (step @p127 :rule trans :premises (@p126 @p125)) % 129.52/129.74 (step @p128 :rule cong :premises (@p127) :args ((forall @t19 (=> @t17 @t200)))) % 129.52/129.74 (step @p129 :rule bool-impl-elim :args (@t9 @t198)) % 129.52/129.74 (step @p130 :rule cong :premises (@p129) :args ((forall @t11 (=> @t9 @t198)))) % 129.52/129.74 (step @p131 :rule bool-impl-elim :args (@t6 @t5)) % 129.52/129.74 (step @p132 :rule cong :premises (@p131) :args (@t8)) % 129.52/129.74 (step @p133 :rule refl :args (@t9)) % 129.52/129.74 (step @p134 :rule cong :premises (@p133 @p132) :args (@t10)) % 129.52/129.74 (step @p135 :rule cong :premises (@p134) :args (@t12)) % 129.52/129.74 (step @p136 :rule trans :premises (@p135 @p130)) % 129.52/129.74 (step @p137 :rule refl :args (@t17)) % 129.52/129.74 (step @p138 :rule cong :premises (@p137 @p136) :args (@t18)) % 129.52/129.74 (step @p139 :rule cong :premises (@p138) :args (@t20)) % 129.52/129.74 (step @p140 :rule trans :premises (@p139 @p128)) % 129.52/129.74 (step @p141 :rule cong :premises (@p140) :args (@t21)) % 129.52/129.74 (step @p142 :rule eq_resolve :premises (@p1 @p141)) % 129.52/129.74 (step @p143 :rule skolemize :premises (@p142)) % 129.52/129.74 (step @p144 :rule cnf_or_neg :args (@t218 3)) % 129.52/129.74 (step @p145 :rule chain_m_resolution :premises (@p144 @p143) :args ((not @t212) @t219 @t220)) % 129.52/129.74 (step @p146 :rule skolemize :premises (@p145)) % 129.52/129.74 (step @p147 :rule cnf_or_neg :args (@t226 1)) % 129.52/129.74 (step @p148 :rule chain_m_resolution :premises (@p147 @p146) :args ((not @t223) @t219 @t227)) % 129.52/129.74 (step @p149 :rule skolemize :premises (@p148)) % 129.52/129.74 (step @p150 :rule cnf_or_neg :args (@t235 1)) % 129.52/129.74 (step @p151 :rule chain_m_resolution :premises (@p150 @p149) :args ((not @t232) @t219 @t236)) % 129.52/129.74 (step @p152 :rule aci_norm :args ((= (or @t204 @t238) (or @t15 @t202 @t201 @t238)))) % 129.52/129.74 (step @p153 :rule refl :args (@t238)) % 129.52/129.74 (step @p154 :rule nary_cong :premises (@p123 @p153) :args ((or @t207 @t238))) % 129.52/129.74 (step @p155 :rule trans :premises (@p154 @p152)) % 129.52/129.74 (step @p156 :rule bool-impl-elim :args (@t17 @t238)) % 129.52/129.74 (step @p157 :rule trans :premises (@p156 @p155)) % 129.52/129.74 (step @p158 :rule cong :premises (@p157) :args ((forall @t19 (=> @t17 @t238)))) % 129.52/129.74 (step @p159 :rule bool-impl-elim :args (@t113 @t237)) % 129.52/129.74 (step @p160 :rule cong :premises (@p159) :args ((forall @t11 (=> @t113 @t237)))) % 129.52/129.74 (step @p161 :rule bool-impl-elim :args (@t191 @t190)) % 129.52/129.74 (step @p162 :rule cong :premises (@p161) :args (@t192)) % 129.52/129.74 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@p562 :rule trans :premises (@p561 @p560)) % 129.52/129.74 (step @p563 :rule nary_cong :premises (@p112 @p562) :args ((or @t201 (not (and @t63 @t61 @t59 @t57))))) % 129.52/129.74 (step @p564 :rule bool-and-de-morgan :args (@t13 @t63 (and @t61 @t59 @t57))) % 129.52/129.74 (step @p565 :rule trans :premises (@p564 @p563)) % 129.52/129.74 (step @p566 :rule nary_cong :premises (@p113 @p565) :args ((or @t202 (not (and @t13 @t63 @t61 @t59 @t57))))) % 129.52/129.74 (step @p567 :rule bool-and-de-morgan :args (@t14 @t13 (and @t63 @t61 @t59 @t57))) % 129.52/129.74 (step @p568 :rule trans :premises (@p567 @p566)) % 129.52/129.74 (step @p569 :rule nary_cong :premises (@p119 @p568) :args ((or @t205 (not (and @t14 @t13 @t63 @t61 @t59 @t57))))) % 129.52/129.74 (step @p570 :rule bool-and-de-morgan :args (@t16 @t14 (and @t13 @t63 @t61 @t59 @t57))) % 129.52/129.74 (step @p571 :rule trans :premises (@p570 @p569)) % 129.52/129.74 (step @p572 :rule trans :premises (@p571 @p555)) % 129.52/129.74 (step @p573 :rule nary_cong :premises (@p572 @p552) :args ((or @t387 @t100))) % 129.52/129.74 (step @p574 :rule trans :premises (@p573 @p551)) % 129.52/129.74 (step @p575 :rule bool-impl-elim :args (@t101 @t100)) % 129.52/129.74 (step @p576 :rule trans :premises (@p575 @p574)) % 129.52/129.74 (step @p577 :rule cong :premises (@p576) :args (@t102)) % 129.52/129.74 (step @p578 :rule eq_resolve :premises (@p27 @p577)) % 129.52/129.74 (step @p579 :rule instantiate :premises (@p578) :args (@t388)) % 129.52/129.74 (step @p580 :rule cnf_and_pos :args (@t328 0)) % 129.52/129.74 (step @p581 :rule reordering :premises (@p580) :args ((or @t327 @t330))) % 129.52/129.74 (step @p582 :rule chain_m_resolution :premises (@p581 @p422) :args (@t327 @t247 @t331)) % 129.52/129.74 (step @p583 :rule cnf_and_pos :args (@t346 0)) % 129.52/129.74 (step @p584 :rule reordering :premises (@p583) :args ((or @t345 @t348))) % 129.52/129.74 (step @p585 :rule chain_m_resolution :premises (@p584 @p453) :args (@t345 @t247 @t349)) % 129.52/129.74 (step @p586 :rule cnf_or_pos :args (@t390)) % 129.52/129.74 (step @p587 :rule reordering :premises (@p586) :args ((or @t217 @t216 @t214 @t344 @t354 @t326 @t336 @t389 (not @t390)))) % 129.52/129.74 (step @p588 :rule chain_m_resolution :premises (@p587 @p205 @p203 @p182 @p585 @p459 @p582 @p428 @p579) :args (@t389 @t391 (@list @t217 @t215 @t213 @t344 @t350 @t326 @t332 @t390))) % 129.52/129.74 (step @p589 :rule aci_norm :args ((= (or @t385 @t139) (or @t15 @t202 @t201 @t62 @t309 @t58 @t364 @t139)))) % 129.52/129.74 (step @p590 :rule refl :args (@t139)) % 129.52/129.74 (step @p591 :rule nary_cong :premises (@p572 @p590) :args ((or @t387 @t139))) % 129.52/129.74 (step @p592 :rule trans :premises (@p591 @p589)) % 129.52/129.74 (step @p593 :rule bool-impl-elim :args (@t101 @t139)) % 129.52/129.74 (step @p594 :rule trans :premises (@p593 @p592)) % 129.52/129.74 (step @p595 :rule cong :premises (@p594) :args (@t140)) % 129.52/129.74 (step @p596 :rule eq_resolve :premises (@p65 @p595)) % 129.52/129.74 (step @p597 :rule instantiate :premises (@p596) :args (@t388)) % 129.52/129.74 (step @p598 :rule cnf_or_pos :args (@t394)) % 129.52/129.74 (step @p599 :rule reordering :premises (@p598) :args ((or @t217 @t216 @t214 @t344 @t354 @t326 @t336 @t393 (not @t394)))) % 129.52/129.74 (step @p600 :rule chain_m_resolution :premises (@p599 @p205 @p203 @p182 @p585 @p459 @p582 @p428 @p597) :args (@t393 @t391 (@list @t217 @t215 @t213 @t344 @t350 @t326 @t332 @t394))) % 129.52/129.74 (step @p601 :rule cnf_or_pos :args (@t398)) % 129.52/129.74 (step @p602 :rule reordering :premises (@p601) :args ((or @t392 @t397 @t396 (not @t398)))) % 129.52/129.74 (step @p603 :rule chain_m_resolution :premises (@p602 @p600 @p588 @p550) :args (@t396 @t256 (@list @t392 @t389 @t398))) % 129.52/129.74 (step @p604 :rule instantiate :premises (@p603) :args (@t384)) % 129.52/129.74 (step @p605 :rule cnf_or_pos :args (@t402)) % 129.52/129.74 (step @p606 :rule reordering :premises (@p605) :args ((or @t392 @t397 @t401 (not @t402)))) % 129.52/129.74 (step @p607 :rule chain_m_resolution :premises (@p606 @p600 @p588 @p604) :args (@t401 @t256 (@list @t392 @t389 @t402))) % 129.52/129.74 (step @p608 :rule instantiate :premises (@p607) :args (@t342)) % 129.52/129.74 (step @p609 :rule aci_norm :args ((= (or (or @t15 @t202 @t201 @t309) @t109) (or @t15 @t202 @t201 @t309 @t109)))) % 129.52/129.74 (step @p610 :rule refl :args (@t109)) % 129.52/129.74 (step @p611 :rule nary_cong :premises (@p114 @p113 @p112 @p475) :args (@t403)) % 129.52/129.74 (step @p612 :rule aci_norm :args ((= (or @t205 (or @t202 (or @t201 @t309))) @t403))) % 129.52/129.74 (step @p613 :rule trans :premises (@p612 @p611)) % 129.52/129.74 (step @p614 :rule bool-and-de-morgan :args (@t13 @t61 true)) % 129.52/129.74 (step @p615 :rule nary_cong :premises (@p113 @p614) :args ((or @t202 (not (and @t13 @t61))))) % 129.52/129.74 (step @p616 :rule bool-and-de-morgan :args (@t14 @t13 (and @t61))) % 129.52/129.74 (step @p617 :rule trans :premises (@p616 @p615)) % 129.52/129.74 (step @p618 :rule nary_cong :premises (@p119 @p617) :args ((or @t205 (not (and @t14 @t13 @t61))))) % 129.52/129.74 (step @p619 :rule bool-and-de-morgan :args (@t16 @t14 (and @t13 @t61))) % 129.52/129.74 (step @p620 :rule trans :premises (@p619 @p618)) % 129.52/129.74 (step @p621 :rule trans :premises (@p620 @p613)) % 129.52/129.74 (step @p622 :rule nary_cong :premises (@p621 @p610) :args ((or (not @t110) @t109))) % 129.52/129.74 (step @p623 :rule trans :premises (@p622 @p609)) % 129.52/129.74 (step @p624 :rule bool-impl-elim :args (@t110 @t109)) % 129.52/129.74 (step @p625 :rule trans :premises (@p624 @p623)) % 129.52/129.74 (step @p626 :rule cong :premises (@p625) :args (@t111)) % 129.52/129.74 (step @p627 :rule eq_resolve :premises (@p33 @p626)) % 129.52/129.74 (step @p628 :rule instantiate :premises (@p627) :args (@t277)) % 129.52/129.74 (step @p629 :rule cnf_or_pos :args (@t405)) % 129.52/129.74 (step @p630 :rule reordering :premises (@p629) :args ((or @t217 @t216 @t214 @t354 @t404 (not @t405)))) % 129.52/129.74 (step @p631 :rule chain_m_resolution :premises (@p630 @p205 @p203 @p182 @p459 @p628) :args (@t404 @t279 (@list @t217 @t215 @t213 @t350 @t405))) % 129.52/129.74 (step @p632 :rule true_intro :premises (@p631)) % 129.52/129.74 (step @p633 :rule refl :args (@t378)) % 129.52/129.74 (step @p634 :rule cong :premises (@p462 @p633) :args (@t406)) % 129.52/129.74 (step @p635 :rule trans :premises (@p634 @p632)) % 129.52/129.74 (step @p636 :rule true_elim :premises (@p635)) % 129.52/129.74 (step @p637 :rule cnf_or_pos :args (@t410)) % 129.52/129.74 (step @p638 :rule reordering :premises (@p637) :args ((or @t344 @t409 @t408 (not @t410)))) % 129.52/129.74 (step @p639 :rule chain_m_resolution :premises (@p638 @p585 @p636 @p608) :args (@t408 @t256 (@list @t344 @t406 @t410))) % 129.52/129.74 (step @p640 :rule eq-symm :args (@t412 @t356)) % 129.52/129.74 (step @p641 :rule refl :args (@t413)) % 129.52/129.74 (step @p642 :rule refl :args (@t399)) % 129.52/129.74 (step @p643 :rule refl :args (@t400)) % 129.52/129.74 (step @p644 :rule nary_cong :premises (@p643 @p642 @p641 @p640) :args (@t414)) % 129.52/129.74 (step @p645 :rule refl :args (@t416)) % 129.52/129.74 (step @p646 :rule refl :args (@t326)) % 129.52/129.74 (step @p647 :rule nary_cong :premises (@p646 @p645 @p644) :args (@t417)) % 129.52/129.74 (step @p648 :rule refl :args (@t408)) % 129.52/129.74 (step @p649 :rule cong :premises (@p648 @p647) :args ((=> @t408 @t417))) % 129.52/129.74 (assume-push @p725 @t408) % 129.52/129.74 (step @p651 :rule instantiate :premises (@p639) :args (@t317)) % 129.52/129.74 (step-pop @p726 :rule scope :premises (@p651)) % 129.52/129.74 (step @p652 :rule process_scope :premises (@p726) :args (@t417)) % 129.52/129.74 (step @p654 :rule eq_resolve :premises (@p652 @p649)) % 129.52/129.74 (step @p655 :rule implies_elim :premises (@p654)) % 129.52/129.74 (step @p656 :rule chain_m_resolution :premises (@p655 @p639) :args (@t420 @t247 (@list @t408))) % 129.52/129.74 (step @p657 :rule instantiate :premises (@p627) :args (@t290)) % 129.52/129.74 (step @p658 :rule cnf_or_pos :args (@t422)) % 129.52/129.74 (step @p659 :rule reordering :premises (@p658) :args ((or @t217 @t216 @t214 @t336 @t421 (not @t422)))) % 129.52/129.74 (step @p660 :rule chain_m_resolution :premises (@p659 @p205 @p203 @p182 @p428 @p657) :args (@t421 @t279 (@list @t217 @t215 @t213 @t332 @t422))) % 129.52/129.74 (step @p661 :rule true_intro :premises (@p660)) % 129.52/129.74 (step @p662 :rule cong :premises (@p431 @p633) :args (@t415)) % 129.52/129.74 (step @p663 :rule trans :premises (@p662 @p661)) % 129.52/129.74 (step @p664 :rule true_elim :premises (@p663)) % 129.52/129.74 (step @p665 :rule cnf_or_pos :args (@t420)) % 129.52/129.74 (step @p666 :rule reordering :premises (@p665) :args ((or @t326 @t416 @t419 (not @t420)))) % 129.52/129.74 (step @p667 :rule chain_m_resolution :premises (@p666 @p582 @p664 @p656) :args (@t419 @t256 (@list @t326 @t415 @t420))) % 129.52/129.74 (step @p668 :rule cnf_and_pos :args (@t419 3)) % 129.52/129.74 (step @p669 :rule reordering :premises (@p668) :args ((or @t418 (not @t419)))) % 129.52/129.74 (step @p670 :rule chain_m_resolution :premises (@p669 @p667) :args (@t418 @t247 (@list @t419))) % 129.52/129.74 (step @p671 :rule symm :premises (@p670)) % 129.52/129.74 (step @p672 :rule aci_norm :args ((= (or @t204 @t424) (or @t15 @t202 @t201 @t424)))) % 129.52/129.74 (step @p673 :rule refl :args (@t424)) % 129.52/129.74 (step @p674 :rule nary_cong :premises (@p123 @p673) :args ((or @t207 @t424))) % 129.52/129.74 (step @p675 :rule trans :premises (@p674 @p672)) % 129.52/129.74 (step @p676 :rule bool-impl-elim :args (@t17 @t424)) % 129.52/129.74 (step @p677 :rule trans :premises (@p676 @p675)) % 129.52/129.74 (step @p678 :rule cong :premises (@p677) :args ((forall @t19 (=> @t17 @t424)))) % 129.52/129.74 (step @p679 :rule bool-impl-elim :args (@t77 @t423)) % 129.52/129.74 (step @p680 :rule cong :premises (@p679) :args ((forall @t11 (=> @t77 @t423)))) % 129.52/129.74 (step @p681 :rule eq-symm :args (@t75 @t2)) % 129.52/129.74 (step @p682 :rule refl :args (@t77)) % 129.52/129.74 (step @p683 :rule cong :premises (@p682 @p681) :args (@t78)) % 129.52/129.74 (step @p684 :rule cong :premises (@p683) :args (@t79)) % 129.52/129.74 (step @p685 :rule trans :premises (@p684 @p680)) % 129.52/129.74 (step @p686 :rule cong :premises (@p137 @p685) :args (@t80)) % 129.52/129.74 (step @p687 :rule cong :premises (@p686) :args (@t81)) % 129.52/129.74 (step @p688 :rule trans :premises (@p687 @p678)) % 129.52/129.74 (step @p689 :rule eq_resolve :premises (@p20 @p688)) % 129.52/129.74 (step @p690 :rule instantiate :premises (@p689) :args (@t241)) % 129.52/129.74 (step @p691 :rule cnf_or_pos :args (@t426)) % 129.52/129.74 (step @p692 :rule reordering :premises (@p691) :args ((or @t217 @t216 @t214 @t425 (not @t426)))) % 129.52/129.74 (step @p693 :rule chain_m_resolution :premises (@p692 @p205 @p203 @p182 @p690) :args (@t425 @t253 (@list @t217 @t215 @t213 @t426))) % 129.52/129.74 (step @p694 :rule instantiate :premises (@p693) :args (@t317)) % 129.52/129.74 (step @p695 :rule cnf_or_pos :args (@t428)) % 129.52/129.74 (step @p696 :rule reordering :premises (@p695) :args ((or @t416 @t427 (not @t428)))) % 129.52/129.74 (step @p697 :rule chain_m_resolution :premises (@p696 @p664 @p694) :args (@t427 @t246 (@list @t415 @t428))) % 129.52/129.74 (step @p698 :rule instantiate :premises (@p693) :args (@t342)) % 129.52/129.74 (step @p699 :rule cnf_or_pos :args (@t430)) % 129.52/129.74 (step @p700 :rule reordering :premises (@p699) :args ((or @t409 @t429 (not @t430)))) % 129.52/129.75 (step @p701 :rule chain_m_resolution :premises (@p700 @p636 @p698) :args (@t429 @t246 (@list @t406 @t430))) % 129.52/129.75 (step @p702 :rule refl :args (@t208)) % 129.52/129.75 (step @p703 :rule cong :premises (@p702 @p701 @p697) :args (@t229)) % 129.52/129.75 (step @p704 :rule trans :premises (@p703 @p671 @p465)) % 129.52/129.75 (step @p705 :rule cong :premises (@p463 @p704) :args (@t231)) % 129.52/129.75 (step @p706 :rule trans :premises (@p705 @p328)) % 129.52/129.75 (step @p707 :rule true_elim :premises (@p706)) % 129.52/129.75 (step @p708 :rule cnf_and_pos :args (@t295 1)) % 129.52/129.75 (step @p709 :rule reordering :premises (@p708) :args ((or @t293 @t298))) % 129.52/129.75 (step @p710 :rule chain_m_resolution :premises (@p709 @p324) :args (@t293 @t247 @t299)) % 129.52/129.75 (step @p711 :rule true_intro :premises (@p710)) % 129.52/129.75 (step @p712 :rule cong :premises (@p432 @p704) :args (@t230)) % 129.52/129.75 (step @p713 :rule trans :premises (@p712 @p711)) % 129.52/129.75 (step @p714 :rule true_elim :premises (@p713)) % 129.52/129.75 (step @p715 :rule cnf_and_neg :args (@t232)) % 129.52/129.75 (step @p716 false :rule chain_m_resolution :premises (@p715 @p714 @p707 @p151) :args (false (@list false false true) (@list @t230 @t231 @t232))) % 129.52/129.75 ) % 129.52/129.75 % SZS output end Proof % 129.52/129.75 % cvc5 exiting %------------------------------------------------------------------------------