%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT338+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 : n016.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 08:30:22 AM UTC 2026 % Result : Theorem 24.72s 24.91s % Output : Proof 24.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT338+1 : TPTP v9.2.1. Released v3.4.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n016.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 06:37:09 EDT 2026 % 0.18/0.34 % CPUTime : % 0.29/0.52 %----Proving TF0_NAR, FOF, or CNF % 24.72/24.91 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 24.72/24.91 --- Run --no-e-matching --full-saturate-quant at 6... % 24.72/24.91 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 24.72/24.91 % SZS status Theorem % 24.72/24.91 % SZS output start Proof % 24.72/24.91 ( % 24.72/24.91 (declare-sort $$unsorted 0) % 24.72/24.91 (declare-const tptp.v2_binop_1 (-> $$unsorted $$unsorted Bool)) % 24.72/24.91 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 24.72/24.91 (declare-const tptp.v4_lattice3 (-> $$unsorted Bool)) % 24.72/24.91 (declare-const tptp.l2_lattices (-> $$unsorted Bool)) % 24.72/24.91 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 24.72/24.91 (declare-const tptp.m1_conlat_1 (-> $$unsorted $$unsorted Bool)) % 24.72/24.91 (declare-const tptp.u1_conlat_1 (-> $$unsorted $$unsorted)) % 24.72/24.91 (declare-const tptp.u2_conlat_1 (-> $$unsorted $$unsorted)) % 24.72/24.91 (declare-const tptp.k8_conlat_1 (-> $$unsorted $$unsorted)) % 24.72/24.91 (declare-const tptp.k7_conlat_1 (-> $$unsorted $$unsorted)) % 24.72/24.91 (declare-const tptp.k10_conlat_1 (-> $$unsorted $$unsorted)) % 24.72/24.91 (declare-const tptp.k9_conlat_1 (-> $$unsorted $$unsorted)) % 24.72/24.91 (declare-const tptp.a_2_1_lattice3 (-> $$unsorted $$unsorted $$unsorted)) % 24.72/24.91 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 24.72/24.91 (declare-const tptp.v13_lattices (-> $$unsorted Bool)) % 24.72/24.91 (declare-const tptp.v14_lattices (-> $$unsorted Bool)) % 24.72/24.91 (declare-const tptp.l1_lattices (-> $$unsorted Bool)) % 24.72/24.91 (declare-const tptp.v15_lattices (-> $$unsorted Bool)) % 24.72/24.91 (declare-const tptp.v8_conlat_1 (-> $$unsorted $$unsorted Bool)) % 24.72/24.91 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 24.72/24.91 (declare-const tptp.r3_lattice3 (-> $$unsorted $$unsorted $$unsorted Bool)) % 24.72/24.91 (declare-const tptp.v5_lattices (-> $$unsorted Bool)) % 24.72/24.91 (declare-const tptp.v7_conlat_1 (-> $$unsorted $$unsorted Bool)) % 24.72/24.91 (declare-const tptp.v4_lattices (-> $$unsorted Bool)) % 24.72/24.91 (declare-const tptp.l2_conlat_1 (-> $$unsorted Bool)) % 24.72/24.91 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 24.72/24.91 (declare-const tptp.k16_lattice3 (-> $$unsorted $$unsorted $$unsorted)) % 24.72/24.91 (declare-const tptp.v8_lattices (-> $$unsorted Bool)) % 24.72/24.91 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 24.72/24.91 (declare-const tptp.u2_lattices (-> $$unsorted $$unsorted)) % 24.72/24.91 (declare-const tptp.v9_conlat_1 (-> $$unsorted $$unsorted Bool)) % 24.72/24.91 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 24.72/24.91 (declare-const tptp.u1_lattices (-> $$unsorted $$unsorted)) % 24.72/24.91 (declare-const tptp.v9_lattices (-> $$unsorted Bool)) % 24.72/24.91 (declare-const tptp.l3_conlat_1 (-> $$unsorted $$unsorted Bool)) % 24.72/24.91 (declare-const tptp.g3_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 24.72/24.91 (declare-const tptp.v10_lattices (-> $$unsorted Bool)) % 24.72/24.91 (declare-const tptp.v3_conlat_1 (-> $$unsorted Bool)) % 24.72/24.91 (declare-const tptp.k1_xboole_0 $$unsorted) % 24.72/24.91 (declare-const tptp.k15_lattice3 (-> $$unsorted $$unsorted $$unsorted)) % 24.72/24.91 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 24.72/24.91 (declare-const tptp.v6_lattices (-> $$unsorted Bool)) % 24.72/24.91 (declare-const tptp.l3_lattices (-> $$unsorted Bool)) % 24.72/24.91 (declare-const tptp.k11_conlat_1 (-> $$unsorted $$unsorted)) % 24.72/24.91 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 24.72/24.91 (declare-const tptp.v7_lattices (-> $$unsorted Bool)) % 24.72/24.91 (declare-const tptp.v3_lattices (-> $$unsorted Bool)) % 24.72/24.91 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 24.72/24.91 (declare-const tptp.u5_conlat_1 (-> $$unsorted $$unsorted $$unsorted)) % 24.72/24.91 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 24.72/24.91 (declare-const tptp.u4_conlat_1 (-> $$unsorted $$unsorted $$unsorted)) % 24.72/24.91 (declare-const tptp.g3_conlat_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 24.72/24.91 (declare-const tptp.v6_conlat_1 (-> $$unsorted $$unsorted Bool)) % 24.72/24.91 (declare-const tptp.v1_binop_1 (-> $$unsorted $$unsorted Bool)) % 24.72/24.91 (declare-const tptp.l1_conlat_1 (-> $$unsorted Bool)) % 24.72/24.91 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 24.72/24.91 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 24.72/24.91 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 24.72/24.91 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 24.72/24.91 (define @t1 () (@var "A" $$unsorted)) % 24.72/24.91 (define @t2 () (@var "B" $$unsorted)) % 24.72/24.91 (define @t3 () (tptp.k11_conlat_1 @t1)) % 24.72/24.91 (define @t4 () (tptp.k15_lattice3 @t3 @t2)) % 24.72/24.91 (define @t5 () (tptp.k16_lattice3 @t3 @t2)) % 24.72/24.91 (define @t6 () (and (not (tptp.v7_conlat_1 @t5 @t1)) (tptp.v9_conlat_1 @t5 @t1) (tptp.l3_conlat_1 @t5 @t1) (not (tptp.v7_conlat_1 @t4 @t1)) (tptp.v9_conlat_1 @t4 @t1) (tptp.l3_conlat_1 @t4 @t1))) % 24.72/24.91 (define @t7 () (tptp.k1_zfmisc_1 (tptp.u1_struct_0 @t3))) % 24.72/24.91 (define @t8 () (tptp.m1_subset_1 @t2 @t7)) % 24.72/24.91 (define @t9 () (@list @t2)) % 24.72/24.91 (define @t10 () (forall @t9 (=> @t8 @t6))) % 24.72/24.91 (define @t11 () (tptp.l2_conlat_1 @t1)) % 24.72/24.91 (define @t12 () (tptp.v3_conlat_1 @t1)) % 24.72/24.91 (define @t13 () (not @t12)) % 24.72/24.91 (define @t14 () (and @t13 @t11)) % 24.72/24.91 (define @t15 () (=> @t14 @t10)) % 24.72/24.91 (define @t16 () (@list @t1)) % 24.72/24.91 (define @t17 () (forall @t16 @t15)) % 24.72/24.91 (define @t18 () (not @t17)) % 24.72/24.91 (define @t19 () (tptp.u1_lattices @t1)) % 24.72/24.91 (define @t20 () (tptp.u2_lattices @t1)) % 24.72/24.91 (define @t21 () (tptp.u1_struct_0 @t1)) % 24.72/24.91 (define @t22 () (= @t1 (tptp.g3_lattices @t21 @t20 @t19))) % 24.72/24.91 (define @t23 () (tptp.v3_lattices @t1)) % 24.72/24.91 (define @t24 () (=> @t23 @t22)) % 24.72/24.91 (define @t25 () (tptp.l3_lattices @t1)) % 24.72/24.91 (define @t26 () (forall @t16 (=> @t25 @t24))) % 24.72/24.91 (define @t27 () (tptp.u5_conlat_1 @t1 @t2)) % 24.72/24.91 (define @t28 () (tptp.u4_conlat_1 @t1 @t2)) % 24.72/24.91 (define @t29 () (tptp.v6_conlat_1 @t2 @t1)) % 24.72/24.91 (define @t30 () (tptp.l3_conlat_1 @t2 @t1)) % 24.72/24.91 (define @t31 () (tptp.l1_conlat_1 @t1)) % 24.72/24.91 (define @t32 () (and @t31 @t30)) % 24.72/24.91 (define @t33 () (@list @t1 @t2)) % 24.72/24.91 (define @t34 () (tptp.r2_hidden @t1 @t2)) % 24.72/24.91 (define @t35 () (@var "C" $$unsorted)) % 24.72/24.91 (define @t36 () (tptp.v1_funct_2 @t35 @t1 @t2)) % 24.72/24.91 (define @t37 () (tptp.v1_funct_1 @t35)) % 24.72/24.91 (define @t38 () (and @t37 @t36)) % 24.72/24.91 (define @t39 () (tptp.v1_partfun1 @t35 @t1 @t2)) % 24.72/24.91 (define @t40 () (tptp.m1_relset_1 @t35 @t1 @t2)) % 24.72/24.91 (define @t41 () (@list @t1 @t2 @t35)) % 24.72/24.91 (define @t42 () (tptp.v9_lattices @t1)) % 24.72/24.91 (define @t43 () (tptp.v8_lattices @t1)) % 24.72/24.91 (define @t44 () (tptp.v7_lattices @t1)) % 24.72/24.91 (define @t45 () (tptp.v6_lattices @t1)) % 24.72/24.91 (define @t46 () (tptp.v5_lattices @t1)) % 24.72/24.91 (define @t47 () (tptp.v4_lattices @t1)) % 24.72/24.91 (define @t48 () (tptp.v3_struct_0 @t1)) % 24.72/24.91 (define @t49 () (not @t48)) % 24.72/24.91 (define @t50 () (and @t49 @t47 @t46 @t45 @t44 @t43 @t42)) % 24.72/24.91 (define @t51 () (tptp.v10_lattices @t1)) % 24.72/24.91 (define @t52 () (and @t49 @t51)) % 24.72/24.91 (define @t53 () (tptp.v1_relat_1 @t35)) % 24.72/24.91 (define @t54 () (tptp.k2_zfmisc_1 @t1 @t2)) % 24.72/24.91 (define @t55 () (tptp.m1_subset_1 @t35 (tptp.k1_zfmisc_1 @t54))) % 24.72/24.91 (define @t56 () (tptp.v8_conlat_1 @t2 @t1)) % 24.72/24.91 (define @t57 () (tptp.v15_lattices @t1)) % 24.72/24.91 (define @t58 () (and @t49 @t57)) % 24.72/24.91 (define @t59 () (tptp.v14_lattices @t1)) % 24.72/24.91 (define @t60 () (tptp.v13_lattices @t1)) % 24.72/24.91 (define @t61 () (and @t49 @t60 @t59)) % 24.72/24.91 (define @t62 () (@list @t35)) % 24.72/24.91 (define @t63 () (tptp.v1_xboole_0 @t2)) % 24.72/24.91 (define @t64 () (not @t63)) % 24.72/24.91 (define @t65 () (tptp.v1_xboole_0 @t35)) % 24.72/24.91 (define @t66 () (tptp.v1_xboole_0 @t1)) % 24.72/24.91 (define @t67 () (not @t66)) % 24.72/24.91 (define @t68 () (and @t67 @t64)) % 24.72/24.91 (define @t69 () (tptp.k16_lattice3 @t1 @t2)) % 24.72/24.91 (define @t70 () (and @t49 @t25)) % 24.72/24.91 (define @t71 () (tptp.k9_conlat_1 @t1)) % 24.72/24.91 (define @t72 () (tptp.k10_conlat_1 @t1)) % 24.72/24.91 (define @t73 () (tptp.k8_conlat_1 @t1)) % 24.72/24.91 (define @t74 () (= @t3 (tptp.g3_lattices @t73 @t72 @t71))) % 24.72/24.91 (define @t75 () (forall @t16 (=> @t14 @t74))) % 24.72/24.91 (define @t76 () (tptp.g3_conlat_1 @t1 @t2 @t35)) % 24.72/24.91 (define @t77 () (tptp.u2_conlat_1 @t1)) % 24.72/24.91 (define @t78 () (tptp.k1_zfmisc_1 @t77)) % 24.72/24.91 (define @t79 () (tptp.u1_conlat_1 @t1)) % 24.72/24.91 (define @t80 () (tptp.k1_zfmisc_1 @t79)) % 24.72/24.91 (define @t81 () (tptp.m1_subset_1 @t2 @t80)) % 24.72/24.91 (define @t82 () (and @t31 @t81 (tptp.m1_subset_1 @t35 @t78))) % 24.72/24.91 (define @t83 () (tptp.g3_lattices @t1 @t2 @t35)) % 24.72/24.91 (define @t84 () (tptp.v3_lattices @t83)) % 24.72/24.91 (define @t85 () (tptp.k2_zfmisc_1 @t1 @t1)) % 24.72/24.91 (define @t86 () (tptp.m1_relset_1 @t35 @t85 @t1)) % 24.72/24.91 (define @t87 () (tptp.v1_funct_2 @t35 @t85 @t1)) % 24.72/24.91 (define @t88 () (tptp.m1_relset_1 @t2 @t85 @t1)) % 24.72/24.91 (define @t89 () (tptp.v1_funct_2 @t2 @t85 @t1)) % 24.72/24.91 (define @t90 () (tptp.v1_funct_1 @t2)) % 24.72/24.91 (define @t91 () (and @t90 @t89 @t88 @t37 @t87 @t86)) % 24.72/24.91 (define @t92 () (tptp.k2_zfmisc_1 @t73 @t73)) % 24.72/24.91 (define @t93 () (tptp.v3_lattices @t3)) % 24.72/24.91 (define @t94 () (not (tptp.v3_struct_0 @t3))) % 24.72/24.91 (define @t95 () (and @t94 @t93 (tptp.l3_lattices @t3))) % 24.72/24.91 (define @t96 () (forall @t16 (=> @t14 @t95))) % 24.72/24.91 (define @t97 () (tptp.m1_subset_1 (tptp.k15_lattice3 @t1 @t2) @t21)) % 24.72/24.91 (define @t98 () (forall @t33 (=> @t70 @t97))) % 24.72/24.91 (define @t99 () (tptp.m1_subset_1 @t69 @t21)) % 24.72/24.91 (define @t100 () (forall @t33 (=> @t70 @t99))) % 24.72/24.91 (define @t101 () (tptp.k7_conlat_1 @t1)) % 24.72/24.91 (define @t102 () (tptp.l1_struct_0 @t1)) % 24.72/24.91 (define @t103 () (tptp.l1_lattices @t1)) % 24.72/24.91 (define @t104 () (forall @t16 (=> @t103 @t102))) % 24.72/24.91 (define @t105 () (tptp.l2_lattices @t1)) % 24.72/24.91 (define @t106 () (and @t103 @t105)) % 24.72/24.91 (define @t107 () (forall @t16 (=> @t25 @t106))) % 24.72/24.91 (define @t108 () (tptp.m1_conlat_1 @t2 @t1)) % 24.72/24.91 (define @t109 () (tptp.m2_relset_1 @t35 @t1 @t2)) % 24.72/24.91 (define @t110 () (tptp.k2_zfmisc_1 @t21 @t21)) % 24.72/24.91 (define @t111 () (tptp.v1_funct_2 @t19 @t110 @t21)) % 24.72/24.91 (define @t112 () (tptp.v1_funct_1 @t19)) % 24.72/24.91 (define @t113 () (and @t112 @t111 (tptp.m2_relset_1 @t19 @t110 @t21))) % 24.72/24.91 (define @t114 () (forall @t16 (=> @t103 @t113))) % 24.72/24.91 (define @t115 () (tptp.v1_funct_2 @t20 @t110 @t21)) % 24.72/24.91 (define @t116 () (tptp.v1_funct_1 @t20)) % 24.72/24.91 (define @t117 () (and @t116 @t115 (tptp.m2_relset_1 @t20 @t110 @t21))) % 24.72/24.91 (define @t118 () (forall @t16 (=> @t105 @t117))) % 24.72/24.91 (define @t119 () (and @t13 @t31)) % 24.72/24.91 (define @t120 () (tptp.v4_lattice3 @t3)) % 24.72/24.91 (define @t121 () (tptp.v10_lattices @t3)) % 24.72/24.91 (define @t122 () (tptp.v9_lattices @t3)) % 24.72/24.91 (define @t123 () (tptp.v8_lattices @t3)) % 24.72/24.91 (define @t124 () (tptp.v7_lattices @t3)) % 24.72/24.91 (define @t125 () (tptp.v6_lattices @t3)) % 24.72/24.91 (define @t126 () (tptp.v5_lattices @t3)) % 24.72/24.91 (define @t127 () (tptp.v4_lattices @t3)) % 24.72/24.91 (define @t128 () (not (tptp.v1_xboole_0 @t21))) % 24.72/24.91 (define @t129 () (and @t49 @t102)) % 24.72/24.91 (define @t130 () (forall @t16 (=> @t129 @t128))) % 24.72/24.91 (define @t131 () (tptp.k1_zfmisc_1 @t1)) % 24.72/24.91 (define @t132 () (tptp.v1_partfun1 @t20 @t110 @t21)) % 24.72/24.91 (define @t133 () (tptp.v1_relat_1 @t20)) % 24.72/24.91 (define @t134 () (tptp.v1_partfun1 @t19 @t110 @t21)) % 24.72/24.91 (define @t135 () (tptp.v1_relat_1 @t19)) % 24.72/24.91 (define @t136 () (@var "D" $$unsorted)) % 24.72/24.91 (define @t137 () (= @t1 @t136)) % 24.72/24.91 (define @t138 () (@var "F" $$unsorted)) % 24.72/24.91 (define @t139 () (@var "E" $$unsorted)) % 24.72/24.91 (define @t140 () (and @t137 (= @t2 @t139) (= @t35 @t138))) % 24.72/24.91 (define @t141 () (@list @t136 @t139 @t138)) % 24.72/24.91 (define @t142 () (= @t83 (tptp.g3_lattices @t136 @t139 @t138))) % 24.72/24.91 (define @t143 () (forall @t141 (=> @t142 @t140))) % 24.72/24.91 (define @t144 () (=> @t91 @t143)) % 24.72/24.91 (define @t145 () (forall @t41 @t144)) % 24.72/24.91 (define @t146 () (not (tptp.v7_conlat_1 @t2 @t1))) % 24.72/24.91 (define @t147 () (tptp.v9_conlat_1 @t2 @t1)) % 24.72/24.91 (define @t148 () (tptp.m1_subset_1 @t2 @t131)) % 24.72/24.91 (define @t149 () (forall @t41 (= @t109 @t40))) % 24.72/24.91 (define @t150 () (tptp.m1_subset_1 @t1 @t2)) % 24.72/24.91 (define @t151 () (or @t63 @t34)) % 24.72/24.91 (define @t152 () (forall @t33 (=> @t150 @t151))) % 24.72/24.91 (define @t153 () (= @t1 @t2)) % 24.72/24.91 (define @t154 () (forall @t9 (= (tptp.r2_hidden @t2 @t73) (and @t29 @t146 @t147 @t30)))) % 24.72/24.91 (define @t155 () (forall @t16 (=> @t14 @t154))) % 24.72/24.91 (define @t156 () (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t35))) % 24.72/24.91 (define @t157 () (@var "BOUND_VARIABLE_7964" $$unsorted)) % 24.72/24.91 (define @t158 () (tptp.k15_lattice3 @t3 @t157)) % 24.72/24.91 (define @t159 () (tptp.k16_lattice3 @t3 @t157)) % 24.72/24.91 (define @t160 () (and (not (tptp.v7_conlat_1 @t159 @t1)) (tptp.v9_conlat_1 @t159 @t1) (tptp.l3_conlat_1 @t159 @t1) (not (tptp.v7_conlat_1 @t158 @t1)) (tptp.v9_conlat_1 @t158 @t1) (tptp.l3_conlat_1 @t158 @t1))) % 24.72/24.91 (define @t161 () (not (tptp.m1_subset_1 @t157 @t7))) % 24.72/24.91 (define @t162 () (not @t11)) % 24.72/24.91 (define @t163 () (or @t12 @t162 @t161 @t160)) % 24.72/24.91 (define @t164 () (or @t161 @t160)) % 24.72/24.91 (define @t165 () (or @t12 @t162 @t164)) % 24.72/24.91 (define @t166 () (@list @t1 @t157)) % 24.72/24.91 (define @t167 () (forall @t166 @t165)) % 24.72/24.91 (define @t168 () (@list @t157)) % 24.72/24.91 (define @t169 () (forall @t168 @t165)) % 24.72/24.91 (define @t170 () (forall @t168 @t164)) % 24.72/24.91 (define @t171 () (@list @t2)) % 24.72/24.91 (define @t172 () (or @t12 @t162 @t170)) % 24.72/24.91 (define @t173 () (forall @t9 (or (not @t8) @t6))) % 24.72/24.91 (define @t174 () (or @t12 @t162 @t173)) % 24.72/24.91 (define @t175 () (or @t12 @t162)) % 24.72/24.91 (define @t176 () (not @t14)) % 24.72/24.91 (define @t177 () (forall @t166 @t163)) % 24.72/24.91 (define @t178 () (@quantifiers_skolemize @t177 0)) % 24.72/24.91 (define @t179 () (@quantifiers_skolemize @t177 1)) % 24.72/24.91 (define @t180 () (tptp.k11_conlat_1 @t178)) % 24.72/24.91 (define @t181 () (tptp.k15_lattice3 @t180 @t179)) % 24.72/24.91 (define @t182 () (tptp.l3_conlat_1 @t181 @t178)) % 24.72/24.91 (define @t183 () (tptp.v9_conlat_1 @t181 @t178)) % 24.72/24.91 (define @t184 () (tptp.v7_conlat_1 @t181 @t178)) % 24.72/24.91 (define @t185 () (not @t184)) % 24.72/24.91 (define @t186 () (tptp.k16_lattice3 @t180 @t179)) % 24.72/24.91 (define @t187 () (tptp.l3_conlat_1 @t186 @t178)) % 24.72/24.91 (define @t188 () (tptp.v9_conlat_1 @t186 @t178)) % 24.72/24.91 (define @t189 () (tptp.v7_conlat_1 @t186 @t178)) % 24.72/24.91 (define @t190 () (not @t189)) % 24.72/24.91 (define @t191 () (and @t190 @t188 @t187 @t185 @t183 @t182)) % 24.72/24.91 (define @t192 () (tptp.u1_struct_0 @t180)) % 24.72/24.91 (define @t193 () (tptp.l2_conlat_1 @t178)) % 24.72/24.91 (define @t194 () (not @t193)) % 24.72/24.91 (define @t195 () (tptp.v3_conlat_1 @t178)) % 24.72/24.91 (define @t196 () (or @t195 @t194 (not (tptp.m1_subset_1 @t179 (tptp.k1_zfmisc_1 @t192))) @t191)) % 24.72/24.91 (define @t197 () (@list true)) % 24.72/24.91 (define @t198 () (@list @t196)) % 24.72/24.91 (define @t199 () (@var "BOUND_VARIABLE_8606" $$unsorted)) % 24.72/24.91 (define @t200 () (= (tptp.r2_hidden @t199 @t73) (and (tptp.v6_conlat_1 @t199 @t1) (not (tptp.v7_conlat_1 @t199 @t1)) (tptp.v9_conlat_1 @t199 @t1) (tptp.l3_conlat_1 @t199 @t1)))) % 24.72/24.91 (define @t201 () (or @t12 @t162 @t200)) % 24.72/24.91 (define @t202 () (@list @t199)) % 24.72/24.91 (define @t203 () (forall @t202 @t201)) % 24.72/24.91 (define @t204 () (forall @t202 @t200)) % 24.72/24.91 (define @t205 () (or @t12 @t162 @t204)) % 24.72/24.91 (define @t206 () (or @t12 @t162 @t154)) % 24.72/24.91 (define @t207 () (and (tptp.v6_conlat_1 @t181 @t178) @t185 @t183 @t182)) % 24.72/24.91 (define @t208 () (tptp.k8_conlat_1 @t178)) % 24.72/24.91 (define @t209 () (tptp.r2_hidden @t181 @t208)) % 24.72/24.91 (define @t210 () (= @t209 @t207)) % 24.72/24.91 (define @t211 () (or @t195 @t194 @t210)) % 24.72/24.91 (define @t212 () (@list true false false)) % 24.72/24.91 (define @t213 () (not @t150)) % 24.72/24.91 (define @t214 () (not @t25)) % 24.72/24.91 (define @t215 () (or @t48 @t214)) % 24.72/24.91 (define @t216 () (not @t49)) % 24.72/24.91 (define @t217 () (not @t70)) % 24.72/24.91 (define @t218 () (@list @t180 @t179)) % 24.72/24.91 (define @t219 () (@list @t178)) % 24.72/24.91 (define @t220 () (tptp.l3_lattices @t180)) % 24.72/24.91 (define @t221 () (tptp.v3_lattices @t180)) % 24.72/24.91 (define @t222 () (tptp.v3_struct_0 @t180)) % 24.72/24.91 (define @t223 () (not @t222)) % 24.72/24.91 (define @t224 () (and @t223 @t221 @t220)) % 24.72/24.91 (define @t225 () (or @t195 @t194 @t224)) % 24.72/24.91 (define @t226 () (not @t224)) % 24.72/24.91 (define @t227 () (@list false)) % 24.72/24.91 (define @t228 () (@list @t224)) % 24.72/24.91 (define @t229 () (tptp.m1_subset_1 @t181 @t192)) % 24.72/24.91 (define @t230 () (not @t220)) % 24.72/24.91 (define @t231 () (or @t222 @t230 @t229)) % 24.72/24.91 (define @t232 () (@list false true false)) % 24.72/24.91 (define @t233 () (not @t102)) % 24.72/24.91 (define @t234 () (@list @t180)) % 24.72/24.91 (define @t235 () (tptp.l2_lattices @t180)) % 24.72/24.91 (define @t236 () (tptp.l1_lattices @t180)) % 24.72/24.91 (define @t237 () (and @t236 @t235)) % 24.72/24.91 (define @t238 () (or @t230 @t237)) % 24.72/24.91 (define @t239 () (@list false false)) % 24.72/24.91 (define @t240 () (not @t237)) % 24.72/24.91 (define @t241 () (@list @t237)) % 24.72/24.91 (define @t242 () (tptp.l1_struct_0 @t180)) % 24.72/24.91 (define @t243 () (not @t236)) % 24.72/24.91 (define @t244 () (or @t243 @t242)) % 24.72/24.91 (define @t245 () (tptp.v1_xboole_0 @t192)) % 24.72/24.91 (define @t246 () (not @t245)) % 24.72/24.91 (define @t247 () (not @t242)) % 24.72/24.91 (define @t248 () (or @t222 @t247 @t246)) % 24.72/24.91 (define @t249 () (tptp.r2_hidden @t181 @t192)) % 24.72/24.91 (define @t250 () (not @t229)) % 24.72/24.91 (define @t251 () (or @t250 @t245 @t249)) % 24.72/24.91 (define @t252 () (@var "BOUND_VARIABLE_8396" $$unsorted)) % 24.72/24.91 (define @t253 () (@var "BOUND_VARIABLE_8394" $$unsorted)) % 24.72/24.91 (define @t254 () (@var "BOUND_VARIABLE_8392" $$unsorted)) % 24.72/24.91 (define @t255 () (and (= @t1 @t254) (= @t2 @t253) (= @t35 @t252))) % 24.72/24.91 (define @t256 () (not (= @t83 (tptp.g3_lattices @t254 @t253 @t252)))) % 24.72/24.91 (define @t257 () (not @t86)) % 24.72/24.91 (define @t258 () (not @t87)) % 24.72/24.91 (define @t259 () (not @t37)) % 24.72/24.91 (define @t260 () (not @t88)) % 24.72/24.91 (define @t261 () (not @t89)) % 24.72/24.91 (define @t262 () (not @t90)) % 24.72/24.91 (define @t263 () (or @t256 @t255)) % 24.72/24.91 (define @t264 () (or @t262 @t261 @t260 @t259 @t258 @t257 @t263)) % 24.72/24.91 (define @t265 () (forall (@list @t1 @t2 @t35 @t254 @t253 @t252) @t264)) % 24.72/24.91 (define @t266 () (@list @t254 @t253 @t252)) % 24.72/24.91 (define @t267 () (forall @t266 @t264)) % 24.72/24.91 (define @t268 () (forall @t266 @t263)) % 24.72/24.91 (define @t269 () (or @t262 @t261 @t260 @t259 @t258 @t257 @t268)) % 24.72/24.91 (define @t270 () (forall @t141 (or (not @t142) @t140))) % 24.72/24.91 (define @t271 () (or @t262 @t261 @t260 @t259 @t258 @t257 @t270)) % 24.72/24.91 (define @t272 () (or @t262 @t261 @t260 @t259 @t258 @t257)) % 24.72/24.91 (define @t273 () (tptp.k9_conlat_1 @t178)) % 24.72/24.91 (define @t274 () (tptp.k10_conlat_1 @t178)) % 24.72/24.91 (define @t275 () (tptp.u1_lattices @t180)) % 24.72/24.91 (define @t276 () (tptp.u2_lattices @t180)) % 24.72/24.91 (define @t277 () (tptp.g3_lattices @t208 @t274 @t273)) % 24.72/24.91 (define @t278 () (= @t180 @t277)) % 24.72/24.91 (define @t279 () (or @t195 @t194 @t278)) % 24.72/24.91 (define @t280 () (not @t23)) % 24.72/24.91 (define @t281 () (tptp.g3_lattices @t192 @t276 @t275)) % 24.72/24.91 (define @t282 () (= @t180 @t281)) % 24.72/24.91 (define @t283 () (not @t221)) % 24.72/24.91 (define @t284 () (or @t230 @t283 @t282)) % 24.72/24.91 (define @t285 () (tptp.k2_zfmisc_1 @t192 @t192)) % 24.72/24.91 (define @t286 () (tptp.m1_relset_1 @t275 @t285 @t192)) % 24.72/24.91 (define @t287 () (tptp.m2_relset_1 @t275 @t285 @t192)) % 24.72/24.91 (define @t288 () (forall @t41 (= @t40 @t109))) % 24.72/24.91 (define @t289 () (= @t286 @t287)) % 24.72/24.91 (define @t290 () (= @t287 @t286)) % 24.72/24.91 (define @t291 () (@list @t288)) % 24.72/24.91 (define @t292 () (tptp.v1_funct_2 @t275 @t285 @t192)) % 24.72/24.91 (define @t293 () (tptp.v1_funct_1 @t275)) % 24.72/24.91 (define @t294 () (and @t293 @t292 @t287)) % 24.72/24.91 (define @t295 () (or @t243 @t294)) % 24.72/24.91 (define @t296 () (not @t294)) % 24.72/24.91 (define @t297 () (@list @t294)) % 24.72/24.91 (define @t298 () (tptp.m1_relset_1 @t276 @t285 @t192)) % 24.72/24.91 (define @t299 () (tptp.m2_relset_1 @t276 @t285 @t192)) % 24.72/24.91 (define @t300 () (= @t298 @t299)) % 24.72/24.91 (define @t301 () (= @t299 @t298)) % 24.72/24.91 (define @t302 () (tptp.v1_funct_2 @t276 @t285 @t192)) % 24.72/24.91 (define @t303 () (tptp.v1_funct_1 @t276)) % 24.72/24.91 (define @t304 () (and @t303 @t302 @t299)) % 24.72/24.91 (define @t305 () (not @t235)) % 24.72/24.91 (define @t306 () (or @t305 @t304)) % 24.72/24.91 (define @t307 () (not @t304)) % 24.72/24.91 (define @t308 () (@list @t304)) % 24.72/24.91 (define @t309 () (= @t192 @t208)) % 24.72/24.91 (define @t310 () (and @t309 (= @t276 @t274) (= @t275 @t273))) % 24.72/24.91 (define @t311 () (= @t281 @t277)) % 24.72/24.91 (define @t312 () (not @t311)) % 24.72/24.91 (define @t313 () (not @t286)) % 24.72/24.91 (define @t314 () (not @t292)) % 24.72/24.91 (define @t315 () (not @t293)) % 24.72/24.91 (define @t316 () (not @t298)) % 24.72/24.91 (define @t317 () (not @t302)) % 24.72/24.91 (define @t318 () (not @t303)) % 24.72/24.91 (define @t319 () (or @t318 @t317 @t316 @t315 @t314 @t313 @t312 @t310)) % 24.72/24.91 (define @t320 () (not @t207)) % 24.72/24.91 (define @t321 () (@list @t207)) % 24.72/24.91 (define @t322 () (and (tptp.v6_conlat_1 @t186 @t178) @t190 @t188 @t187)) % 24.72/24.91 (define @t323 () (tptp.r2_hidden @t186 @t208)) % 24.72/24.91 (define @t324 () (= @t323 @t322)) % 24.72/24.91 (define @t325 () (or @t195 @t194 @t324)) % 24.72/24.91 (define @t326 () (tptp.m1_subset_1 @t186 @t192)) % 24.72/24.91 (define @t327 () (or @t222 @t230 @t326)) % 24.72/24.91 (define @t328 () (tptp.r2_hidden @t186 @t192)) % 24.72/24.91 (define @t329 () (not @t326)) % 24.72/24.91 (define @t330 () (or @t329 @t245 @t328)) % 24.72/24.91 (define @t331 () (not @t322)) % 24.72/24.91 (define @t332 () (@list @t322)) % 24.72/24.91 (define @t333 () (not @t182)) % 24.72/24.91 (define @t334 () (not @t183)) % 24.72/24.91 (define @t335 () (not @t187)) % 24.72/24.91 (define @t336 () (not @t188)) % 24.72/24.91 (assume @p1 @t18) % 24.72/24.91 (assume @p2 @t26) % 24.72/24.91 (assume @p3 (forall @t33 (=> @t32 (=> @t29 (= @t2 (tptp.g3_conlat_1 @t1 @t28 @t27)))))) % 24.72/24.91 (assume @p4 (forall @t33 (=> @t34 (not (tptp.r2_hidden @t2 @t1))))) % 24.72/24.91 (assume @p5 (forall @t41 (=> @t40 (=> (and @t37 @t39) @t38)))) % 24.72/24.91 (assume @p6 (forall @t16 (=> @t25 (=> @t52 @t50)))) % 24.72/24.91 (assume @p7 (forall @t41 (=> @t55 @t53))) % 24.72/24.91 (assume @p8 (forall @t16 (=> (and @t12 @t31) (forall @t9 (=> @t30 @t56))))) % 24.72/24.91 (assume @p9 (forall @t16 (=> @t25 (=> @t50 @t52)))) % 24.72/24.91 (assume @p10 (forall @t16 (=> @t25 (=> @t61 @t58)))) % 24.72/24.91 (assume @p11 (forall @t16 (=> @t25 (=> @t58 @t61)))) % 24.72/24.91 (assume @p12 (forall @t33 (=> @t64 (forall @t62 (=> @t40 (=> @t38 (and @t37 @t39 @t36))))))) % 24.72/24.91 (assume @p13 (forall @t33 (=> @t68 (forall @t62 (=> @t40 (=> @t38 (and @t37 (not @t65) @t39 @t36))))))) % 24.72/24.91 (assume @p14 (forall @t16 (=> @t70 (forall @t9 (= @t69 (tptp.k15_lattice3 @t1 (tptp.a_2_1_lattice3 @t1 @t2))))))) % 24.72/24.91 (assume @p15 @t75) % 24.72/24.91 (assume @p16 (forall @t41 (=> @t82 (and (tptp.v6_conlat_1 @t76 @t1) (tptp.l3_conlat_1 @t76 @t1))))) % 24.72/24.91 (assume @p17 (forall @t41 (=> @t91 (and @t84 (tptp.l3_lattices @t83))))) % 24.72/24.91 (assume @p18 (forall @t16 (=> @t14 (and (tptp.v1_funct_1 @t72) (tptp.v1_funct_2 @t72 @t92 @t73) (tptp.m2_relset_1 @t72 @t92 @t73))))) % 24.72/24.91 (assume @p19 @t96) % 24.72/24.91 (assume @p20 @t98) % 24.72/24.91 (assume @p21 @t100) % 24.72/24.91 (assume @p22 true) % 24.72/24.91 (assume @p23 (forall @t16 (=> @t14 (not (tptp.v1_xboole_0 @t101))))) % 24.72/24.91 (assume @p24 (forall @t16 (=> @t14 (tptp.m1_conlat_1 @t73 @t1)))) % 24.72/24.91 (assume @p25 (forall @t16 (=> @t14 (and (tptp.v1_funct_1 @t71) (tptp.v1_funct_2 @t71 @t92 @t73) (tptp.m2_relset_1 @t71 @t92 @t73))))) % 24.72/24.91 (assume @p26 @t104) % 24.72/24.91 (assume @p27 (forall @t16 (=> @t11 @t31))) % 24.72/24.91 (assume @p28 (forall @t16 (=> @t105 @t102))) % 24.72/24.91 (assume @p29 @t107) % 24.72/24.91 (assume @p30 (forall @t16 (=> @t14 (forall @t9 (=> @t108 @t64))))) % 24.72/24.91 (assume @p31 (forall @t41 (=> @t109 @t55))) % 24.72/24.91 (assume @p32 @t114) % 24.72/24.91 (assume @p33 @t118) % 24.72/24.91 (assume @p34 (forall @t33 (=> @t32 (tptp.m1_subset_1 @t28 @t80)))) % 24.72/24.91 (assume @p35 (forall @t33 (=> @t32 (tptp.m1_subset_1 @t27 @t78)))) % 24.72/24.91 (assume @p36 (exists @t16 @t31)) % 24.72/24.91 (assume @p37 (exists @t16 @t103)) % 24.72/24.91 (assume @p38 (exists @t16 @t102)) % 24.72/24.91 (assume @p39 (exists @t16 @t11)) % 24.72/24.91 (assume @p40 (exists @t16 @t105)) % 24.72/24.91 (assume @p41 (forall @t16 (=> @t31 (exists @t9 @t30)))) % 24.72/24.91 (assume @p42 (exists @t16 @t25)) % 24.72/24.91 (assume @p43 (forall @t16 (=> @t14 (exists @t9 @t108)))) % 24.72/24.91 (assume @p44 (forall @t33 (exists @t62 @t40))) % 24.72/24.91 (assume @p45 (forall @t16 (exists @t9 (tptp.m1_subset_1 @t2 @t1)))) % 24.72/24.91 (assume @p46 (forall @t33 (exists @t62 @t109))) % 24.72/24.91 (assume @p47 (forall @t16 (=> @t119 (not (tptp.v1_xboole_0 @t77))))) % 24.72/24.91 (assume @p48 (forall @t16 (=> @t14 (and @t94 @t93 @t127 @t126 @t125 @t124 @t123 @t122 @t121 (tptp.v13_lattices @t3) (tptp.v14_lattices @t3) (tptp.v15_lattices @t3) @t120)))) % 24.72/24.91 (assume @p49 @t130) % 24.72/24.91 (assume @p50 (forall @t16 (not (tptp.v1_xboole_0 @t131)))) % 24.72/24.91 (assume @p51 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 24.72/24.91 (assume @p52 (forall @t16 (=> @t119 (not (tptp.v1_xboole_0 @t79))))) % 24.72/24.91 (assume @p53 (forall @t16 (=> (and @t49 @t47 @t105) (and @t133 @t116 @t115 (tptp.v1_binop_1 @t20 @t21) @t132)))) % 24.72/24.91 (assume @p54 (forall @t16 (=> (and @t49 @t46 @t105) (and @t133 @t116 @t115 (tptp.v2_binop_1 @t20 @t21) @t132)))) % 24.72/24.91 (assume @p55 (forall @t41 (=> (and @t67 @t90 @t89 @t88 @t37 @t87 @t86) (and (not (tptp.v3_struct_0 @t83)) @t84)))) % 24.72/24.91 (assume @p56 (forall @t16 (=> @t14 (and @t94 @t93 @t127 @t126 @t125 @t124 @t123 @t122 @t121)))) % 24.72/24.91 (assume @p57 (forall @t16 (=> (and @t49 @t45 @t103) (and @t135 @t112 @t111 (tptp.v1_binop_1 @t19 @t21) @t134)))) % 24.72/24.91 (assume @p58 (forall @t33 (=> @t68 (not (tptp.v1_xboole_0 @t54))))) % 24.72/24.91 (assume @p59 (forall @t16 (=> @t14 (and @t94 @t93 @t127 @t126 @t125 @t124 @t123 @t122 @t121 @t120)))) % 24.72/24.91 (assume @p60 (forall @t16 (=> (and @t49 @t44 @t103) (and @t135 @t112 @t111 (tptp.v2_binop_1 @t19 @t21) @t134)))) % 24.72/24.91 (assume @p61 (forall @t41 (=> (and (not (tptp.v3_struct_0 @t2)) (tptp.l3_lattices @t2)) (= (tptp.r2_hidden @t1 (tptp.a_2_1_lattice3 @t2 @t35)) (exists (@list @t136) (and (tptp.m1_subset_1 @t136 (tptp.u1_struct_0 @t2)) @t137 (tptp.r3_lattice3 @t2 @t136 @t35))))))) % 24.72/24.91 (assume @p62 (forall @t41 (=> @t82 (forall @t141 (=> (= @t76 (tptp.g3_conlat_1 @t136 @t139 @t138)) @t140))))) % 24.72/24.91 (assume @p63 @t145) % 24.72/24.91 (assume @p64 (forall @t16 (=> @t31 (exists @t9 (and @t30 @t29))))) % 24.72/24.91 (assume @p65 (forall @t16 (=> @t119 (exists @t9 (and @t30 @t29 @t146))))) % 24.72/24.91 (assume @p66 (exists @t16 (and @t25 @t49 @t23 @t47 @t46 @t45 @t44 @t43 @t42 @t51 @t60 @t59 @t57))) % 24.72/24.91 (assume @p67 (forall @t16 (=> @t119 (exists @t9 (and @t30 @t29 @t56))))) % 24.72/24.91 (assume @p68 (forall @t16 (=> @t14 (exists @t9 (and @t30 @t146 @t147))))) % 24.72/24.91 (assume @p69 (forall @t16 (=> @t14 (exists @t9 (and @t30 @t29 @t146 @t147))))) % 24.72/24.91 (assume @p70 (forall @t33 (exists @t62 (and @t40 @t53 @t37 @t36)))) % 24.72/24.91 (assume @p71 (forall @t16 (=> @t67 (exists @t9 (and @t148 @t64))))) % 24.72/24.91 (assume @p72 (exists @t16 @t66)) % 24.72/24.91 (assume @p73 (forall @t33 (exists @t62 (and @t40 @t53 @t37)))) % 24.72/24.91 (assume @p74 (forall @t16 (exists @t9 (and @t148 @t63)))) % 24.72/24.91 (assume @p75 (exists @t16 @t67)) % 24.72/24.91 (assume @p76 (exists @t16 (and @t25 @t23))) % 24.72/24.91 (assume @p77 (exists @t16 (and @t102 @t49))) % 24.72/24.91 (assume @p78 (forall @t16 (=> @t129 (exists @t9 (and (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t21)) @t64))))) % 24.72/24.91 (assume @p79 (exists @t16 (and @t25 @t49 @t23))) % 24.72/24.91 (assume @p80 (forall @t16 (=> @t119 (exists @t9 (and @t81 @t64))))) % 24.72/24.91 (assume @p81 (forall @t16 (=> @t119 (exists @t9 (and (tptp.m1_subset_1 @t2 @t78) @t64))))) % 24.72/24.91 (assume @p82 (exists @t16 (and @t25 @t49 @t23 @t47 @t46 @t45 @t44 @t43 @t42 @t51))) % 24.72/24.91 (assume @p83 (forall @t16 (=> @t14 (= @t73 @t101)))) % 24.72/24.91 (assume @p84 @t149) % 24.72/24.91 (assume @p85 (forall @t33 (tptp.r1_tarski @t1 @t1))) % 24.72/24.91 (assume @p86 (forall @t33 (=> @t34 @t150))) % 24.72/24.91 (assume @p87 @t152) % 24.72/24.91 (assume @p88 (forall @t33 (=> (forall @t62 (= (tptp.r2_hidden @t35 @t1) (tptp.r2_hidden @t35 @t2))) @t153))) % 24.72/24.91 (assume @p89 @t155) % 24.72/24.91 (assume @p90 (forall @t33 (= (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t2)) (tptp.r1_tarski @t1 @t2)))) % 24.72/24.91 (assume @p91 (forall @t41 (=> (and @t34 @t156) (tptp.m1_subset_1 @t1 @t35)))) % 24.72/24.91 (assume @p92 (forall @t41 (not (and @t34 @t156 @t65)))) % 24.72/24.91 (assume @p93 (forall @t16 (=> @t66 (= @t1 tptp.k1_xboole_0)))) % 24.72/24.91 (assume @p94 (forall @t33 (not (and @t34 @t63)))) % 24.72/24.91 (assume @p95 (forall @t33 (not (and @t66 (not @t153) @t63)))) % 24.72/24.91 (step @p96 :rule aci_norm :args ((= @t165 @t163))) % 24.72/24.91 (step @p97 :rule cong :premises (@p96) :args (@t167)) % 24.72/24.91 (step @p98 :rule quant-merge-prenex :args ((= (forall @t16 @t169) @t167))) % 24.72/24.91 (step @p99 :rule alpha_equiv :args (@t170 (@list @t157) @t171)) % 24.72/24.91 (step @p100 :rule refl :args (@t162)) % 24.72/24.91 (step @p101 :rule refl :args (@t12)) % 24.72/24.91 (step @p102 :rule nary_cong :premises (@p101 @p100 @p99) :args (@t172)) % 24.72/24.91 (step @p103 :rule quant-miniscope-or :args ((= @t169 @t172))) % 24.72/24.91 (step @p104 :rule trans :premises (@p103 @p102)) % 24.72/24.91 (step @p105 :rule symm :premises (@p104)) % 24.72/24.91 (step @p106 :rule cong :premises (@p105) :args ((forall @t16 @t174))) % 24.72/24.91 (step @p107 :rule trans :premises (@p106 @p98)) % 24.72/24.91 (step @p108 :rule trans :premises (@p107 @p97)) % 24.72/24.91 (step @p109 :rule aci_norm :args ((= (or @t175 @t173) @t174))) % 24.72/24.91 (step @p110 :rule refl :args (@t173)) % 24.72/24.91 (step @p111 :rule bool-double-not-elim :args (@t12)) % 24.72/24.91 (step @p112 :rule nary_cong :premises (@p111 @p100) :args ((or (not @t13) @t162))) % 24.72/24.91 (step @p113 :rule bool-and-de-morgan :args (@t13 @t11 true)) % 24.72/24.91 (step @p114 :rule trans :premises (@p113 @p112)) % 24.72/24.91 (step @p115 :rule nary_cong :premises (@p114 @p110) :args ((or @t176 @t173))) % 24.72/24.91 (step @p116 :rule trans :premises (@p115 @p109)) % 24.72/24.91 (step @p117 :rule bool-impl-elim :args (@t14 @t173)) % 24.72/24.91 (step @p118 :rule trans :premises (@p117 @p116)) % 24.72/24.91 (step @p119 :rule cong :premises (@p118) :args ((forall @t16 (=> @t14 @t173)))) % 24.72/24.91 (step @p120 :rule trans :premises (@p119 @p108)) % 24.72/24.91 (step @p121 :rule bool-impl-elim :args (@t8 @t6)) % 24.72/24.91 (step @p122 :rule cong :premises (@p121) :args (@t10)) % 24.72/24.91 (step @p123 :rule refl :args (@t14)) % 24.72/24.91 (step @p124 :rule cong :premises (@p123 @p122) :args (@t15)) % 24.72/24.91 (step @p125 :rule cong :premises (@p124) :args (@t17)) % 24.72/24.91 (step @p126 :rule trans :premises (@p125 @p120)) % 24.72/24.91 (step @p127 :rule cong :premises (@p126) :args (@t18)) % 24.72/24.91 (step @p128 :rule eq_resolve :premises (@p1 @p127)) % 24.72/24.91 (step @p129 :rule skolemize :premises (@p128)) % 24.72/24.91 (step @p130 :rule cnf_or_neg :args (@t196 3)) % 24.72/24.91 (step @p131 :rule chain_m_resolution :premises (@p130 @p129) :args ((not @t191) @t197 @t198)) % 24.72/24.91 (step @p132 :rule quant-merge-prenex :args ((= (forall @t16 @t203) (forall (@list @t1 @t199) @t201)))) % 24.72/24.91 (step @p133 :rule alpha_equiv :args (@t204 (@list @t199) @t171)) % 24.72/24.91 (step @p134 :rule nary_cong :premises (@p101 @p100 @p133) :args (@t205)) % 24.72/24.91 (step @p135 :rule quant-miniscope-or :args ((= @t203 @t205))) % 24.72/24.91 (step @p136 :rule trans :premises (@p135 @p134)) % 24.72/24.91 (step @p137 :rule symm :premises (@p136)) % 24.72/24.91 (step @p138 :rule cong :premises (@p137) :args ((forall @t16 @t206))) % 24.72/24.91 (step @p139 :rule trans :premises (@p138 @p132)) % 24.72/24.91 (step @p140 :rule aci_norm :args ((= (or @t175 @t154) @t206))) % 24.72/24.91 (step @p141 :rule refl :args (@t154)) % 24.72/24.91 (step @p142 :rule nary_cong :premises (@p114 @p141) :args ((or @t176 @t154))) % 24.72/24.91 (step @p143 :rule trans :premises (@p142 @p140)) % 24.72/24.91 (step @p144 :rule bool-impl-elim :args (@t14 @t154)) % 24.72/24.91 (step @p145 :rule trans :premises (@p144 @p143)) % 24.72/24.91 (step @p146 :rule cong :premises (@p145) :args (@t155)) % 24.72/24.91 (step @p147 :rule trans :premises (@p146 @p139)) % 24.72/24.91 (step @p148 :rule eq_resolve :premises (@p89 @p147)) % 24.72/24.91 (step @p149 :rule instantiate :premises (@p148) :args ((@list @t178 @t181))) % 24.72/24.91 (step @p150 :rule bool-double-not-elim :args (@t193)) % 24.72/24.91 (step @p151 :rule refl :args (@t196)) % 24.72/24.91 (step @p152 :rule nary_cong :premises (@p151 @p150) :args ((or @t196 (not @t194)))) % 24.72/24.91 (step @p153 :rule cnf_or_neg :args (@t196 1)) % 24.72/24.91 (step @p154 :rule eq_resolve :premises (@p153 @p152)) % 24.72/24.91 (step @p155 :rule reordering :premises (@p154) :args ((or @t193 @t196))) % 24.72/24.91 (step @p156 :rule chain_m_resolution :premises (@p155 @p129) :args (@t193 @t197 @t198)) % 24.72/24.91 (step @p157 :rule cnf_or_neg :args (@t196 0)) % 24.72/24.91 (step @p158 :rule chain_m_resolution :premises (@p157 @p129) :args ((not @t195) @t197 @t198)) % 24.72/24.91 (step @p159 :rule cnf_or_pos :args (@t211)) % 24.72/24.91 (step @p160 :rule reordering :premises (@p159) :args ((or @t195 @t194 @t210 (not @t211)))) % 24.72/24.91 (step @p161 :rule chain_m_resolution :premises (@p160 @p158 @p156 @p149) :args (@t210 @t212 (@list @t195 @t193 @t211))) % 24.72/24.91 (step @p162 :rule aci_norm :args ((= (or @t213 @t151) (or @t213 @t63 @t34)))) % 24.72/24.91 (step @p163 :rule bool-impl-elim :args (@t150 @t151)) % 24.72/24.91 (step @p164 :rule trans :premises (@p163 @p162)) % 24.72/24.91 (step @p165 :rule cong :premises (@p164) :args (@t152)) % 24.72/24.91 (step @p166 :rule eq_resolve :premises (@p87 @p165)) % 24.72/24.91 (step @p167 :rule instantiate :premises (@p166) :args ((@list @t181 @t192))) % 24.72/24.91 (step @p168 :rule aci_norm :args ((= (or @t215 @t97) (or @t48 @t214 @t97)))) % 24.72/24.91 (step @p169 :rule refl :args (@t97)) % 24.72/24.91 (step @p170 :rule refl :args (@t214)) % 24.72/24.91 (step @p171 :rule bool-double-not-elim :args (@t48)) % 24.72/24.91 (step @p172 :rule nary_cong :premises (@p171 @p170) :args ((or @t216 @t214))) % 24.72/24.91 (step @p173 :rule bool-and-de-morgan :args (@t49 @t25 true)) % 24.72/24.91 (step @p174 :rule trans :premises (@p173 @p172)) % 24.72/24.91 (step @p175 :rule nary_cong :premises (@p174 @p169) :args ((or @t217 @t97))) % 24.72/24.91 (step @p176 :rule trans :premises (@p175 @p168)) % 24.72/24.91 (step @p177 :rule bool-impl-elim :args (@t70 @t97)) % 24.72/24.91 (step @p178 :rule trans :premises (@p177 @p176)) % 24.72/24.91 (step @p179 :rule cong :premises (@p178) :args (@t98)) % 24.72/24.91 (step @p180 :rule eq_resolve :premises (@p20 @p179)) % 24.72/24.91 (step @p181 :rule instantiate :premises (@p180) :args (@t218)) % 24.72/24.91 (step @p182 :rule aci_norm :args ((= (or @t175 @t95) (or @t12 @t162 @t95)))) % 24.72/24.91 (step @p183 :rule refl :args (@t95)) % 24.72/24.91 (step @p184 :rule nary_cong :premises (@p114 @p183) :args ((or @t176 @t95))) % 24.72/24.91 (step @p185 :rule trans :premises (@p184 @p182)) % 24.72/24.91 (step @p186 :rule bool-impl-elim :args (@t14 @t95)) % 24.72/24.91 (step @p187 :rule trans :premises (@p186 @p185)) % 24.72/24.91 (step @p188 :rule cong :premises (@p187) :args (@t96)) % 24.72/24.91 (step @p189 :rule eq_resolve :premises (@p19 @p188)) % 24.72/24.91 (step @p190 :rule instantiate :premises (@p189) :args (@t219)) % 24.72/24.91 (step @p191 :rule cnf_or_pos :args (@t225)) % 24.72/24.91 (step @p192 :rule reordering :premises (@p191) :args ((or @t195 @t194 @t224 (not @t225)))) % 24.72/24.91 (step @p193 :rule chain_m_resolution :premises (@p192 @p158 @p156 @p190) :args (@t224 @t212 (@list @t195 @t193 @t225))) % 24.72/24.91 (step @p194 :rule cnf_and_pos :args (@t224 0)) % 24.72/24.91 (step @p195 :rule reordering :premises (@p194) :args ((or @t223 @t226))) % 24.72/24.91 (step @p196 :rule chain_m_resolution :premises (@p195 @p193) :args (@t223 @t227 @t228)) % 24.72/24.91 (step @p197 :rule cnf_and_pos :args (@t224 2)) % 24.72/24.91 (step @p198 :rule reordering :premises (@p197) :args ((or @t220 @t226))) % 24.72/24.91 (step @p199 :rule chain_m_resolution :premises (@p198 @p193) :args (@t220 @t227 @t228)) % 24.72/24.91 (step @p200 :rule cnf_or_pos :args (@t231)) % 24.72/24.91 (step @p201 :rule reordering :premises (@p200) :args ((or @t230 @t222 @t229 (not @t231)))) % 24.72/24.91 (step @p202 :rule chain_m_resolution :premises (@p201 @p199 @p196 @p181) :args (@t229 @t232 (@list @t220 @t222 @t231))) % 24.72/24.91 (step @p203 :rule aci_norm :args ((= (or (or @t48 @t233) @t128) (or @t48 @t233 @t128)))) % 24.72/24.91 (step @p204 :rule refl :args (@t128)) % 24.72/24.91 (step @p205 :rule refl :args (@t233)) % 24.72/24.91 (step @p206 :rule nary_cong :premises (@p171 @p205) :args ((or @t216 @t233))) % 24.72/24.91 (step @p207 :rule bool-and-de-morgan :args (@t49 @t102 true)) % 24.72/24.91 (step @p208 :rule trans :premises (@p207 @p206)) % 24.72/24.91 (step @p209 :rule nary_cong :premises (@p208 @p204) :args ((or (not @t129) @t128))) % 24.72/24.91 (step @p210 :rule trans :premises (@p209 @p203)) % 24.72/24.91 (step @p211 :rule bool-impl-elim :args (@t129 @t128)) % 24.72/24.91 (step @p212 :rule trans :premises (@p211 @p210)) % 24.72/24.91 (step @p213 :rule cong :premises (@p212) :args (@t130)) % 24.72/24.91 (step @p214 :rule eq_resolve :premises (@p49 @p213)) % 24.72/24.91 (step @p215 :rule instantiate :premises (@p214) :args (@t234)) % 24.72/24.91 (step @p216 :rule bool-impl-elim :args (@t103 @t102)) % 24.72/24.91 (step @p217 :rule cong :premises (@p216) :args (@t104)) % 24.72/24.91 (step @p218 :rule eq_resolve :premises (@p26 @p217)) % 24.72/24.91 (step @p219 :rule instantiate :premises (@p218) :args (@t234)) % 24.72/24.91 (step @p220 :rule bool-impl-elim :args (@t25 @t106)) % 24.72/24.91 (step @p221 :rule cong :premises (@p220) :args (@t107)) % 24.72/24.91 (step @p222 :rule eq_resolve :premises (@p29 @p221)) % 24.72/24.91 (step @p223 :rule instantiate :premises (@p222) :args (@t234)) % 24.72/24.91 (step @p224 :rule cnf_or_pos :args (@t238)) % 24.72/24.91 (step @p225 :rule reordering :premises (@p224) :args ((or @t230 @t237 (not @t238)))) % 24.72/24.91 (step @p226 :rule chain_m_resolution :premises (@p225 @p199 @p223) :args (@t237 @t239 (@list @t220 @t238))) % 24.72/24.91 (step @p227 :rule cnf_and_pos :args (@t237 0)) % 24.72/24.91 (step @p228 :rule reordering :premises (@p227) :args ((or @t236 @t240))) % 24.72/24.91 (step @p229 :rule chain_m_resolution :premises (@p228 @p226) :args (@t236 @t227 @t241)) % 24.72/24.91 (step @p230 :rule cnf_or_pos :args (@t244)) % 24.72/24.91 (step @p231 :rule reordering :premises (@p230) :args ((or @t243 @t242 (not @t244)))) % 24.72/24.91 (step @p232 :rule chain_m_resolution :premises (@p231 @p229 @p219) :args (@t242 @t239 (@list @t236 @t244))) % 24.72/24.91 (step @p233 :rule cnf_or_pos :args (@t248)) % 24.72/24.91 (step @p234 :rule reordering :premises (@p233) :args ((or @t222 @t247 @t246 (not @t248)))) % 24.72/24.91 (step @p235 :rule chain_m_resolution :premises (@p234 @p196 @p232 @p215) :args (@t246 @t212 (@list @t222 @t242 @t248))) % 24.72/24.91 (step @p236 :rule cnf_or_pos :args (@t251)) % 24.72/24.91 (step @p237 :rule reordering :premises (@p236) :args ((or @t245 @t250 @t249 (not @t251)))) % 24.72/24.91 (step @p238 :rule chain_m_resolution :premises (@p237 @p235 @p202 @p167) :args (@t249 @t212 (@list @t245 @t229 @t251))) % 24.72/24.91 (step @p239 :rule true_intro :premises (@p238)) % 24.72/24.91 (step @p240 :rule aci_norm :args ((= @t264 (or @t262 @t261 @t260 @t259 @t258 @t257 @t256 @t255)))) % 24.72/24.91 (step @p241 :rule cong :premises (@p240) :args (@t265)) % 24.72/24.91 (step @p242 :rule quant-merge-prenex :args ((= (forall @t41 @t267) @t265))) % 24.72/24.91 (step @p243 :rule alpha_equiv :args (@t268 (@list @t254 @t253 @t252) (@list @t136 @t139 @t138))) % 24.72/24.91 (step @p244 :rule refl :args (@t257)) % 24.72/24.91 (step @p245 :rule refl :args (@t258)) % 24.72/24.91 (step @p246 :rule refl :args (@t259)) % 24.72/24.91 (step @p247 :rule refl :args (@t260)) % 24.72/24.91 (step @p248 :rule refl :args (@t261)) % 24.72/24.91 (step @p249 :rule refl :args (@t262)) % 24.72/24.91 (step @p250 :rule nary_cong :premises (@p249 @p248 @p247 @p246 @p245 @p244 @p243) :args (@t269)) % 24.72/24.91 (step @p251 :rule quant-miniscope-or :args ((= @t267 @t269))) % 24.72/24.91 (step @p252 :rule trans :premises (@p251 @p250)) % 24.72/24.91 (step @p253 :rule symm :premises (@p252)) % 24.72/24.91 (step @p254 :rule cong :premises (@p253) :args ((forall @t41 @t271))) % 24.72/24.91 (step @p255 :rule trans :premises (@p254 @p242)) % 24.72/24.91 (step @p256 :rule trans :premises (@p255 @p241)) % 24.72/24.91 (step @p257 :rule aci_norm :args ((= (or @t272 @t270) @t271))) % 24.72/24.91 (step @p258 :rule refl :args (@t270)) % 24.72/24.91 (step @p259 :rule aci_norm :args ((= (or @t262 (or @t261 (or @t260 (or @t259 (or @t258 @t257))))) @t272))) % 24.72/24.91 (step @p260 :rule bool-and-de-morgan :args (@t87 @t86 true)) % 24.72/24.91 (step @p261 :rule nary_cong :premises (@p246 @p260) :args ((or @t259 (not (and @t87 @t86))))) % 24.72/24.91 (step @p262 :rule bool-and-de-morgan :args (@t37 @t87 (and @t86))) % 24.72/24.91 (step @p263 :rule trans :premises (@p262 @p261)) % 24.72/24.91 (step @p264 :rule nary_cong :premises (@p247 @p263) :args ((or @t260 (not (and @t37 @t87 @t86))))) % 24.72/24.91 (step @p265 :rule bool-and-de-morgan :args (@t88 @t37 (and @t87 @t86))) % 24.72/24.91 (step @p266 :rule trans :premises (@p265 @p264)) % 24.72/24.91 (step @p267 :rule nary_cong :premises (@p248 @p266) :args ((or @t261 (not (and @t88 @t37 @t87 @t86))))) % 24.72/24.91 (step @p268 :rule bool-and-de-morgan :args (@t89 @t88 (and @t37 @t87 @t86))) % 24.72/24.91 (step @p269 :rule trans :premises (@p268 @p267)) % 24.72/24.91 (step @p270 :rule nary_cong :premises (@p249 @p269) :args ((or @t262 (not (and @t89 @t88 @t37 @t87 @t86))))) % 24.72/24.91 (step @p271 :rule bool-and-de-morgan :args (@t90 @t89 (and @t88 @t37 @t87 @t86))) % 24.72/24.91 (step @p272 :rule trans :premises (@p271 @p270)) % 24.72/24.91 (step @p273 :rule trans :premises (@p272 @p259)) % 24.72/24.91 (step @p274 :rule nary_cong :premises (@p273 @p258) :args ((or (not @t91) @t270))) % 24.72/24.91 (step @p275 :rule trans :premises (@p274 @p257)) % 24.72/24.91 (step @p276 :rule bool-impl-elim :args (@t91 @t270)) % 24.72/24.91 (step @p277 :rule trans :premises (@p276 @p275)) % 24.72/24.91 (step @p278 :rule cong :premises (@p277) :args ((forall @t41 (=> @t91 @t270)))) % 24.72/24.91 (step @p279 :rule trans :premises (@p278 @p256)) % 24.72/24.91 (step @p280 :rule bool-impl-elim :args (@t142 @t140)) % 24.72/24.91 (step @p281 :rule cong :premises (@p280) :args (@t143)) % 24.72/24.91 (step @p282 :rule refl :args (@t91)) % 24.72/24.91 (step @p283 :rule cong :premises (@p282 @p281) :args (@t144)) % 24.72/24.91 (step @p284 :rule cong :premises (@p283) :args (@t145)) % 24.72/24.91 (step @p285 :rule trans :premises (@p284 @p279)) % 24.72/24.91 (step @p286 :rule eq_resolve :premises (@p63 @p285)) % 24.72/24.91 (step @p287 :rule instantiate :premises (@p286) :args ((@list @t192 @t276 @t275 @t208 @t274 @t273))) % 24.72/24.91 (step @p288 :rule aci_norm :args ((= (or @t175 @t74) (or @t12 @t162 @t74)))) % 24.72/24.91 (step @p289 :rule refl :args (@t74)) % 24.72/24.91 (step @p290 :rule nary_cong :premises (@p114 @p289) :args ((or @t176 @t74))) % 24.72/24.91 (step @p291 :rule trans :premises (@p290 @p288)) % 24.72/24.91 (step @p292 :rule bool-impl-elim :args (@t14 @t74)) % 24.72/24.91 (step @p293 :rule trans :premises (@p292 @p291)) % 24.72/24.91 (step @p294 :rule cong :premises (@p293) :args (@t75)) % 24.72/24.91 (step @p295 :rule eq_resolve :premises (@p15 @p294)) % 24.72/24.91 (step @p296 :rule instantiate :premises (@p295) :args (@t219)) % 24.72/24.91 (step @p297 :rule cnf_or_pos :args (@t279)) % 24.72/24.91 (step @p298 :rule reordering :premises (@p297) :args ((or @t195 @t194 @t278 (not @t279)))) % 24.72/24.91 (step @p299 :rule chain_m_resolution :premises (@p298 @p158 @p156 @p296) :args (@t278 @t212 (@list @t195 @t193 @t279))) % 24.72/24.91 (step @p300 :rule aci_norm :args ((= (or @t214 (or @t280 @t22)) (or @t214 @t280 @t22)))) % 24.72/24.91 (step @p301 :rule bool-impl-elim :args (@t23 @t22)) % 24.72/24.91 (step @p302 :rule nary_cong :premises (@p170 @p301) :args ((or @t214 @t24))) % 24.72/24.91 (step @p303 :rule trans :premises (@p302 @p300)) % 24.72/24.91 (step @p304 :rule bool-impl-elim :args (@t25 @t24)) % 24.72/24.91 (step @p305 :rule trans :premises (@p304 @p303)) % 24.72/24.91 (step @p306 :rule cong :premises (@p305) :args (@t26)) % 24.72/24.91 (step @p307 :rule eq_resolve :premises (@p2 @p306)) % 24.72/24.91 (step @p308 :rule instantiate :premises (@p307) :args (@t234)) % 24.72/24.91 (step @p309 :rule cnf_and_pos :args (@t224 1)) % 24.72/24.91 (step @p310 :rule reordering :premises (@p309) :args ((or @t221 @t226))) % 24.72/24.91 (step @p311 :rule chain_m_resolution :premises (@p310 @p193) :args (@t221 @t227 @t228)) % 24.72/24.91 (step @p312 :rule cnf_or_pos :args (@t284)) % 24.72/24.91 (step @p313 :rule reordering :premises (@p312) :args ((or @t230 @t283 @t282 (not @t284)))) % 24.72/24.91 (step @p314 :rule chain_m_resolution :premises (@p313 @p199 @p311 @p308) :args (@t282 (@list false false false) (@list @t220 @t221 @t284))) % 24.72/24.91 (step @p315 :rule symm :premises (@p314)) % 24.72/24.91 (step @p316 :rule trans :premises (@p315 @p299)) % 24.72/24.91 (step @p317 :rule eq-symm :args (@t109 @t40)) % 24.72/24.91 (step @p318 :rule cong :premises (@p317) :args (@t149)) % 24.72/24.91 (step @p319 :rule eq_resolve :premises (@p84 @p318)) % 24.72/24.91 (step @p320 :rule eq-symm :args (@t286 @t287)) % 24.72/24.91 (step @p321 :rule refl :args (@t288)) % 24.72/24.91 (step @p322 :rule cong :premises (@p321 @p320) :args ((=> @t288 @t289))) % 24.72/24.91 (assume-push @p452 @t288) % 24.72/24.91 (step @p324 :rule instantiate :premises (@p319) :args ((@list @t285 @t192 @t275))) % 24.72/24.91 (step-pop @p453 :rule scope :premises (@p324)) % 24.72/24.91 (step @p325 :rule process_scope :premises (@p453) :args (@t289)) % 24.72/24.91 (step @p327 :rule eq_resolve :premises (@p325 @p322)) % 24.72/24.91 (step @p328 :rule implies_elim :premises (@p327)) % 24.72/24.91 (step @p329 :rule chain_m_resolution :premises (@p328 @p319) :args (@t290 @t227 @t291)) % 24.72/24.91 (step @p330 :rule bool-impl-elim :args (@t103 @t113)) % 24.72/24.91 (step @p331 :rule cong :premises (@p330) :args (@t114)) % 24.72/24.91 (step @p332 :rule eq_resolve :premises (@p32 @p331)) % 24.72/24.91 (step @p333 :rule instantiate :premises (@p332) :args (@t234)) % 24.72/24.91 (step @p334 :rule cnf_or_pos :args (@t295)) % 24.72/24.91 (step @p335 :rule reordering :premises (@p334) :args ((or @t243 @t294 (not @t295)))) % 24.72/24.91 (step @p336 :rule chain_m_resolution :premises (@p335 @p229 @p333) :args (@t294 @t239 (@list @t236 @t295))) % 24.72/24.91 (step @p337 :rule cnf_and_pos :args (@t294 2)) % 24.72/24.91 (step @p338 :rule reordering :premises (@p337) :args ((or @t287 @t296))) % 24.72/24.91 (step @p339 :rule chain_m_resolution :premises (@p338 @p336) :args (@t287 @t227 @t297)) % 24.72/24.91 (step @p340 :rule cnf_equiv_pos1 :args (@t290)) % 24.72/24.91 (step @p341 :rule reordering :premises (@p340) :args ((or (not @t287) @t286 (not @t290)))) % 24.72/24.91 (step @p342 :rule chain_m_resolution :premises (@p341 @p339 @p329) :args (@t286 @t239 (@list @t287 @t290))) % 24.72/24.91 (step @p343 :rule eq-symm :args (@t298 @t299)) % 24.72/24.91 (step @p344 :rule cong :premises (@p321 @p343) :args ((=> @t288 @t300))) % 24.72/24.91 (assume-push @p454 @t288) % 24.72/24.91 (step @p346 :rule instantiate :premises (@p319) :args ((@list @t285 @t192 @t276))) % 24.72/24.91 (step-pop @p455 :rule scope :premises (@p346)) % 24.72/24.91 (step @p347 :rule process_scope :premises (@p455) :args (@t300)) % 24.72/24.91 (step @p349 :rule eq_resolve :premises (@p347 @p344)) % 24.72/24.91 (step @p350 :rule implies_elim :premises (@p349)) % 24.72/24.91 (step @p351 :rule chain_m_resolution :premises (@p350 @p319) :args (@t301 @t227 @t291)) % 24.72/24.91 (step @p352 :rule bool-impl-elim :args (@t105 @t117)) % 24.72/24.91 (step @p353 :rule cong :premises (@p352) :args (@t118)) % 24.72/24.91 (step @p354 :rule eq_resolve :premises (@p33 @p353)) % 24.72/24.91 (step @p355 :rule instantiate :premises (@p354) :args (@t234)) % 24.72/24.91 (step @p356 :rule cnf_and_pos :args (@t237 1)) % 24.72/24.91 (step @p357 :rule reordering :premises (@p356) :args ((or @t235 @t240))) % 24.72/24.91 (step @p358 :rule chain_m_resolution :premises (@p357 @p226) :args (@t235 @t227 @t241)) % 24.72/24.91 (step @p359 :rule cnf_or_pos :args (@t306)) % 24.72/24.91 (step @p360 :rule reordering :premises (@p359) :args ((or @t305 @t304 (not @t306)))) % 24.72/24.91 (step @p361 :rule chain_m_resolution :premises (@p360 @p358 @p355) :args (@t304 @t239 (@list @t235 @t306))) % 24.72/24.91 (step @p362 :rule cnf_and_pos :args (@t304 2)) % 24.72/24.91 (step @p363 :rule reordering :premises (@p362) :args ((or @t299 @t307))) % 24.72/24.91 (step @p364 :rule chain_m_resolution :premises (@p363 @p361) :args (@t299 @t227 @t308)) % 24.72/24.91 (step @p365 :rule cnf_equiv_pos1 :args (@t301)) % 24.72/24.91 (step @p366 :rule reordering :premises (@p365) :args ((or (not @t299) @t298 (not @t301)))) % 24.72/24.91 (step @p367 :rule chain_m_resolution :premises (@p366 @p364 @p351) :args (@t298 @t239 (@list @t299 @t301))) % 24.72/24.91 (step @p368 :rule cnf_and_pos :args (@t304 1)) % 24.72/24.91 (step @p369 :rule reordering :premises (@p368) :args ((or @t302 @t307))) % 24.72/24.91 (step @p370 :rule chain_m_resolution :premises (@p369 @p361) :args (@t302 @t227 @t308)) % 24.72/24.91 (step @p371 :rule cnf_and_pos :args (@t304 0)) % 24.72/24.91 (step @p372 :rule reordering :premises (@p371) :args ((or @t303 @t307))) % 24.72/24.91 (step @p373 :rule chain_m_resolution :premises (@p372 @p361) :args (@t303 @t227 @t308)) % 24.72/24.91 (step @p374 :rule cnf_and_pos :args (@t294 1)) % 24.72/24.91 (step @p375 :rule reordering :premises (@p374) :args ((or @t292 @t296))) % 24.72/24.91 (step @p376 :rule chain_m_resolution :premises (@p375 @p336) :args (@t292 @t227 @t297)) % 24.72/24.91 (step @p377 :rule cnf_and_pos :args (@t294 0)) % 24.72/24.91 (step @p378 :rule reordering :premises (@p377) :args ((or @t293 @t296))) % 24.72/24.91 (step @p379 :rule chain_m_resolution :premises (@p378 @p336) :args (@t293 @t227 @t297)) % 24.72/24.91 (step @p380 :rule cnf_or_pos :args (@t319)) % 24.72/24.91 (step @p381 :rule reordering :premises (@p380) :args ((or @t315 @t314 @t318 @t317 @t316 @t313 @t312 @t310 (not @t319)))) % 24.72/24.91 (step @p382 :rule chain_m_resolution :premises (@p381 @p379 @p376 @p373 @p370 @p367 @p342 @p316 @p287) :args (@t310 (@list false false false false false false false false) (@list @t293 @t292 @t303 @t302 @t298 @t286 @t311 @t319))) % 24.72/24.91 (step @p383 :rule cnf_and_pos :args (@t310 0)) % 24.72/24.91 (step @p384 :rule reordering :premises (@p383) :args ((or @t309 (not @t310)))) % 24.72/24.91 (step @p385 :rule chain_m_resolution :premises (@p384 @p382) :args (@t309 @t227 (@list @t310))) % 24.72/24.91 (step @p386 :rule symm :premises (@p385)) % 24.72/24.91 (step @p387 :rule refl :args (@t181)) % 24.72/24.91 (step @p388 :rule cong :premises (@p387 @p386) :args (@t209)) % 24.72/24.91 (step @p389 :rule trans :premises (@p388 @p239)) % 24.72/24.91 (step @p390 :rule true_elim :premises (@p389)) % 24.72/24.91 (step @p391 :rule cnf_equiv_pos1 :args (@t210)) % 24.72/24.91 (step @p392 :rule reordering :premises (@p391) :args ((or @t207 (not @t209) (not @t210)))) % 24.72/24.91 (step @p393 :rule chain_m_resolution :premises (@p392 @p390 @p161) :args (@t207 @t239 (@list @t209 @t210))) % 24.72/24.91 (step @p394 :rule cnf_and_pos :args (@t207 3)) % 24.72/24.91 (step @p395 :rule reordering :premises (@p394) :args ((or @t182 @t320))) % 24.72/24.91 (step @p396 :rule chain_m_resolution :premises (@p395 @p393) :args (@t182 @t227 @t321)) % 24.72/24.91 (step @p397 :rule instantiate :premises (@p148) :args ((@list @t178 @t186))) % 24.72/24.91 (step @p398 :rule cnf_or_pos :args (@t325)) % 24.72/24.91 (step @p399 :rule reordering :premises (@p398) :args ((or @t195 @t194 @t324 (not @t325)))) % 24.72/24.91 (step @p400 :rule chain_m_resolution :premises (@p399 @p158 @p156 @p397) :args (@t324 @t212 (@list @t195 @t193 @t325))) % 24.72/24.91 (step @p401 :rule instantiate :premises (@p166) :args ((@list @t186 @t192))) % 24.72/24.91 (step @p402 :rule aci_norm :args ((= (or @t215 @t99) (or @t48 @t214 @t99)))) % 24.72/24.91 (step @p403 :rule refl :args (@t99)) % 24.72/24.91 (step @p404 :rule nary_cong :premises (@p174 @p403) :args ((or @t217 @t99))) % 24.72/24.91 (step @p405 :rule trans :premises (@p404 @p402)) % 24.72/24.91 (step @p406 :rule bool-impl-elim :args (@t70 @t99)) % 24.72/24.91 (step @p407 :rule trans :premises (@p406 @p405)) % 24.72/24.91 (step @p408 :rule cong :premises (@p407) :args (@t100)) % 24.72/24.91 (step @p409 :rule eq_resolve :premises (@p21 @p408)) % 24.72/24.91 (step @p410 :rule instantiate :premises (@p409) :args (@t218)) % 24.72/24.91 (step @p411 :rule cnf_or_pos :args (@t327)) % 24.72/24.91 (step @p412 :rule reordering :premises (@p411) :args ((or @t230 @t222 @t326 (not @t327)))) % 24.72/24.91 (step @p413 :rule chain_m_resolution :premises (@p412 @p199 @p196 @p410) :args (@t326 @t232 (@list @t220 @t222 @t327))) % 24.72/24.91 (step @p414 :rule cnf_or_pos :args (@t330)) % 24.72/24.91 (step @p415 :rule reordering :premises (@p414) :args ((or @t245 @t329 @t328 (not @t330)))) % 24.72/24.91 (step @p416 :rule chain_m_resolution :premises (@p415 @p235 @p413 @p401) :args (@t328 @t212 (@list @t245 @t326 @t330))) % 24.72/24.91 (step @p417 :rule true_intro :premises (@p416)) % 24.72/24.91 (step @p418 :rule refl :args (@t186)) % 24.72/24.91 (step @p419 :rule cong :premises (@p418 @p386) :args (@t323)) % 24.72/24.91 (step @p420 :rule trans :premises (@p419 @p417)) % 24.72/24.91 (step @p421 :rule true_elim :premises (@p420)) % 24.72/24.91 (step @p422 :rule cnf_equiv_pos1 :args (@t324)) % 24.72/24.91 (step @p423 :rule reordering :premises (@p422) :args ((or @t322 (not @t323) (not @t324)))) % 24.72/24.91 (step @p424 :rule chain_m_resolution :premises (@p423 @p421 @p400) :args (@t322 @t239 (@list @t323 @t324))) % 24.72/24.91 (step @p425 :rule cnf_and_pos :args (@t322 2)) % 24.72/24.91 (step @p426 :rule reordering :premises (@p425) :args ((or @t188 @t331))) % 24.72/24.91 (step @p427 :rule chain_m_resolution :premises (@p426 @p424) :args (@t188 @t227 @t332)) % 24.72/24.91 (step @p428 :rule cnf_and_pos :args (@t322 1)) % 24.72/24.91 (step @p429 :rule reordering :premises (@p428) :args ((or @t190 @t331))) % 24.72/24.91 (step @p430 :rule chain_m_resolution :premises (@p429 @p424) :args (@t190 @t227 @t332)) % 24.72/24.91 (step @p431 :rule cnf_and_pos :args (@t322 3)) % 24.72/24.91 (step @p432 :rule reordering :premises (@p431) :args ((or @t187 @t331))) % 24.72/24.91 (step @p433 :rule chain_m_resolution :premises (@p432 @p424) :args (@t187 @t227 @t332)) % 24.72/24.91 (step @p434 :rule cnf_and_pos :args (@t207 1)) % 24.72/24.91 (step @p435 :rule reordering :premises (@p434) :args ((or @t185 @t320))) % 24.72/24.91 (step @p436 :rule chain_m_resolution :premises (@p435 @p393) :args (@t185 @t227 @t321)) % 24.72/24.91 (step @p437 :rule cnf_and_pos :args (@t207 2)) % 24.72/24.91 (step @p438 :rule reordering :premises (@p437) :args ((or @t183 @t320))) % 24.72/24.91 (step @p439 :rule chain_m_resolution :premises (@p438 @p393) :args (@t183 @t227 @t321)) % 24.72/24.91 (step @p440 :rule refl :args (@t333)) % 24.72/24.91 (step @p441 :rule refl :args (@t334)) % 24.72/24.91 (step @p442 :rule bool-double-not-elim :args (@t184)) % 24.72/24.91 (step @p443 :rule refl :args (@t335)) % 24.72/24.91 (step @p444 :rule refl :args (@t336)) % 24.72/24.91 (step @p445 :rule bool-double-not-elim :args (@t189)) % 24.72/24.91 (step @p446 :rule refl :args (@t191)) % 24.72/24.91 (step @p447 :rule nary_cong :premises (@p446 @p445 @p444 @p443 @p442 @p441 @p440) :args ((or @t191 (not @t190) @t336 @t335 (not @t185) @t334 @t333))) % 24.72/24.91 (step @p448 :rule cnf_and_neg :args (@t191)) % 24.72/24.91 (step @p449 :rule eq_resolve :premises (@p448 @p447)) % 24.72/24.91 (step @p450 :rule reordering :premises (@p449) :args ((or @t189 @t184 @t191 @t336 @t335 @t334 @t333))) % 24.72/24.91 (step @p451 false :rule chain_m_resolution :premises (@p450 @p439 @p436 @p433 @p430 @p427 @p396 @p131) :args (false (@list false true false true false false true) (@list @t183 @t184 @t187 @t189 @t188 @t182 @t191))) % 24.72/24.91 ) % 24.72/24.91 % SZS output end Proof % 24.72/24.91 % cvc5 exiting %------------------------------------------------------------------------------