%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT287+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 : n012.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:30:07 AM UTC 2026 % Result : Theorem 34.17s 34.54s % Output : Proof 34.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : LAT287+1 : TPTP v9.2.1. Released v3.4.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.06/0.25 % Computer : n012.cluster.edu % 0.06/0.25 % Model : x86_64 x86_64 % 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.25 % Memory : 8042.1875MB % 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.06/0.25 % CPULimit : 300 % 0.06/0.25 % WCLimit : 300 % 0.06/0.25 % DateTime : Tue Jun 2 06:09:33 EDT 2026 % 0.06/0.25 % CPUTime : % 0.15/0.34 %----Proving TF0_NAR, FOF, or CNF % 34.17/34.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.17/34.54 --- Run --no-e-matching --full-saturate-quant at 6... % 34.17/34.54 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.17/34.54 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.17/34.54 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.17/34.54 % SZS status Theorem % 34.17/34.54 % SZS output start Proof % 34.17/34.54 ( % 34.17/34.54 (declare-sort $$unsorted 0) % 34.17/34.54 (declare-const tptp.a_1_0_lopclset (-> $$unsorted $$unsorted)) % 34.17/34.54 (declare-const tptp.v3_pre_topc (-> $$unsorted $$unsorted Bool)) % 34.17/34.54 (declare-const tptp.v4_finsub_1 (-> $$unsorted Bool)) % 34.17/34.54 (declare-const tptp.v1_finsub_1 (-> $$unsorted Bool)) % 34.17/34.54 (declare-const tptp.v3_finsub_1 (-> $$unsorted Bool)) % 34.17/34.54 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 34.17/34.54 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 34.17/34.54 (declare-const tptp.v6_lattices (-> $$unsorted Bool)) % 34.17/34.54 (declare-const tptp.k1_xboole_0 $$unsorted) % 34.17/34.54 (declare-const tptp.v8_lattices (-> $$unsorted Bool)) % 34.17/34.54 (declare-const tptp.v1_finset_1 (-> $$unsorted Bool)) % 34.17/34.54 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 34.17/34.54 (declare-const tptp.v4_ordinal2 (-> $$unsorted Bool)) % 34.17/34.54 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 34.17/34.54 (declare-const tptp.v9_lattices (-> $$unsorted Bool)) % 34.17/34.54 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.17/34.54 (declare-const tptp.v10_lattices (-> $$unsorted Bool)) % 34.17/34.54 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.17/34.54 (declare-const tptp.v7_lattices (-> $$unsorted Bool)) % 34.17/34.54 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 34.17/34.54 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 34.17/34.54 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 34.17/34.54 (declare-const tptp.k4_lopclset (-> $$unsorted $$unsorted)) % 34.17/34.54 (declare-const tptp.v2_pre_topc (-> $$unsorted Bool)) % 34.17/34.54 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 34.17/34.54 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 34.17/34.54 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 34.17/34.54 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 34.17/34.54 (declare-const tptp.k1_pre_topc (-> $$unsorted $$unsorted)) % 34.17/34.54 (declare-const tptp.v4_lattices (-> $$unsorted Bool)) % 34.17/34.54 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 34.17/34.54 (declare-const tptp.u1_lattices (-> $$unsorted $$unsorted)) % 34.17/34.54 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 34.17/34.54 (declare-const tptp.k1_lopclset (-> $$unsorted $$unsorted)) % 34.17/34.54 (declare-const tptp.l1_pre_topc (-> $$unsorted Bool)) % 34.17/34.54 (declare-const tptp.l2_lattices (-> $$unsorted Bool)) % 34.17/34.54 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 34.17/34.54 (declare-const tptp.v3_lattices (-> $$unsorted Bool)) % 34.17/34.54 (declare-const tptp.l1_lattices (-> $$unsorted Bool)) % 34.17/34.54 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.17/34.54 (declare-const tptp.l3_lattices (-> $$unsorted Bool)) % 34.17/34.54 (declare-const tptp.k6_lopclset (-> $$unsorted $$unsorted)) % 34.17/34.54 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 34.17/34.54 (declare-const tptp.u2_lattices (-> $$unsorted $$unsorted)) % 34.17/34.54 (declare-const tptp.k5_lopclset (-> $$unsorted $$unsorted)) % 34.17/34.54 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.17/34.54 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 34.17/34.54 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 34.17/34.54 (declare-const tptp.m2_subset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.17/34.54 (declare-const tptp.v5_lattices (-> $$unsorted Bool)) % 34.17/34.54 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 34.17/34.54 (declare-const tptp.g3_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.17/34.54 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 34.17/34.54 (declare-const tptp.v4_pre_topc (-> $$unsorted $$unsorted Bool)) % 34.17/34.54 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 34.17/34.54 (define @t1 () (@var "A" $$unsorted)) % 34.17/34.54 (define @t2 () (tptp.k6_lopclset @t1)) % 34.17/34.54 (define @t3 () (tptp.k1_pre_topc @t1)) % 34.17/34.54 (define @t4 () (tptp.m1_subset_1 @t3 (tptp.u1_struct_0 @t2))) % 34.17/34.54 (define @t5 () (tptp.l1_pre_topc @t1)) % 34.17/34.54 (define @t6 () (tptp.v2_pre_topc @t1)) % 34.17/34.54 (define @t7 () (tptp.v3_struct_0 @t1)) % 34.17/34.54 (define @t8 () (not @t7)) % 34.17/34.54 (define @t9 () (and @t8 @t6 @t5)) % 34.17/34.54 (define @t10 () (@list @t1)) % 34.17/34.54 (define @t11 () (forall @t10 (=> @t9 @t4))) % 34.17/34.54 (define @t12 () (not @t11)) % 34.17/34.54 (define @t13 () (tptp.u1_struct_0 @t1)) % 34.17/34.54 (define @t14 () (tptp.k2_zfmisc_1 @t13 @t13)) % 34.17/34.54 (define @t15 () (tptp.u1_lattices @t1)) % 34.17/34.54 (define @t16 () (and (tptp.v1_funct_1 @t15) (tptp.v1_funct_2 @t15 @t14 @t13) (tptp.m2_relset_1 @t15 @t14 @t13))) % 34.17/34.54 (define @t17 () (tptp.l1_lattices @t1)) % 34.17/34.54 (define @t18 () (forall @t10 (=> @t17 @t16))) % 34.17/34.54 (define @t19 () (tptp.u2_lattices @t1)) % 34.17/34.54 (define @t20 () (and (tptp.v1_funct_1 @t19) (tptp.v1_funct_2 @t19 @t14 @t13) (tptp.m2_relset_1 @t19 @t14 @t13))) % 34.17/34.54 (define @t21 () (tptp.l2_lattices @t1)) % 34.17/34.54 (define @t22 () (forall @t10 (=> @t21 @t20))) % 34.17/34.54 (define @t23 () (@var "B" $$unsorted)) % 34.17/34.54 (define @t24 () (@var "C" $$unsorted)) % 34.17/34.54 (define @t25 () (tptp.v1_funct_2 @t24 @t1 @t23)) % 34.17/34.54 (define @t26 () (tptp.v1_funct_1 @t24)) % 34.17/34.54 (define @t27 () (and @t26 @t25)) % 34.17/34.54 (define @t28 () (tptp.v1_partfun1 @t24 @t1 @t23)) % 34.17/34.54 (define @t29 () (tptp.m1_relset_1 @t24 @t1 @t23)) % 34.17/34.54 (define @t30 () (@list @t1 @t23 @t24)) % 34.17/34.54 (define @t31 () (tptp.v1_relat_1 @t24)) % 34.17/34.54 (define @t32 () (@list @t24)) % 34.17/34.54 (define @t33 () (@list @t1 @t23)) % 34.17/34.54 (define @t34 () (tptp.r2_hidden @t1 @t23)) % 34.17/34.54 (define @t35 () (= @t1 (tptp.g3_lattices @t13 @t19 @t15))) % 34.17/34.54 (define @t36 () (tptp.v3_lattices @t1)) % 34.17/34.54 (define @t37 () (=> @t36 @t35)) % 34.17/34.54 (define @t38 () (tptp.l3_lattices @t1)) % 34.17/34.54 (define @t39 () (forall @t10 (=> @t38 @t37))) % 34.17/34.54 (define @t40 () (tptp.m2_relset_1 @t24 @t1 @t23)) % 34.17/34.54 (define @t41 () (forall @t30 (= @t40 @t29))) % 34.17/34.54 (define @t42 () (tptp.l1_struct_0 @t1)) % 34.17/34.54 (define @t43 () (tptp.k2_zfmisc_1 @t1 @t23)) % 34.17/34.54 (define @t44 () (tptp.m1_subset_1 @t24 (tptp.k1_zfmisc_1 @t43))) % 34.17/34.54 (define @t45 () (tptp.v1_xcmplx_0 @t23)) % 34.17/34.54 (define @t46 () (tptp.m1_subset_1 @t23 @t1)) % 34.17/34.54 (define @t47 () (@list @t23)) % 34.17/34.54 (define @t48 () (tptp.v1_membered @t1)) % 34.17/34.54 (define @t49 () (tptp.v1_xreal_0 @t23)) % 34.17/34.54 (define @t50 () (tptp.v2_membered @t1)) % 34.17/34.54 (define @t51 () (tptp.v1_rat_1 @t23)) % 34.17/34.54 (define @t52 () (tptp.v3_membered @t1)) % 34.17/34.54 (define @t53 () (tptp.v1_int_1 @t23)) % 34.17/34.54 (define @t54 () (tptp.v4_membered @t1)) % 34.17/34.54 (define @t55 () (tptp.v5_membered @t1)) % 34.17/34.54 (define @t56 () (tptp.v1_membered @t23)) % 34.17/34.54 (define @t57 () (tptp.k1_zfmisc_1 @t1)) % 34.17/34.54 (define @t58 () (tptp.m1_subset_1 @t23 @t57)) % 34.17/34.54 (define @t59 () (tptp.v2_membered @t23)) % 34.17/34.54 (define @t60 () (tptp.v3_membered @t23)) % 34.17/34.54 (define @t61 () (tptp.v4_membered @t23)) % 34.17/34.54 (define @t62 () (tptp.v1_finset_1 @t23)) % 34.17/34.54 (define @t63 () (tptp.v1_finset_1 @t1)) % 34.17/34.54 (define @t64 () (tptp.v10_lattices @t1)) % 34.17/34.54 (define @t65 () (and @t8 @t64)) % 34.17/34.54 (define @t66 () (tptp.v9_lattices @t1)) % 34.17/34.54 (define @t67 () (tptp.v8_lattices @t1)) % 34.17/34.54 (define @t68 () (tptp.v7_lattices @t1)) % 34.17/34.54 (define @t69 () (tptp.v6_lattices @t1)) % 34.17/34.54 (define @t70 () (tptp.v5_lattices @t1)) % 34.17/34.54 (define @t71 () (tptp.v4_lattices @t1)) % 34.17/34.54 (define @t72 () (and @t8 @t71 @t70 @t69 @t68 @t67 @t66)) % 34.17/34.54 (define @t73 () (tptp.v1_xboole_0 @t23)) % 34.17/34.54 (define @t74 () (not @t73)) % 34.17/34.54 (define @t75 () (tptp.v1_xboole_0 @t24)) % 34.17/34.54 (define @t76 () (tptp.v1_xboole_0 @t1)) % 34.17/34.54 (define @t77 () (not @t76)) % 34.17/34.54 (define @t78 () (tptp.g3_lattices @t1 @t23 @t24)) % 34.17/34.54 (define @t79 () (tptp.v3_lattices @t78)) % 34.17/34.54 (define @t80 () (and (not (tptp.v3_struct_0 @t78)) @t79)) % 34.17/34.54 (define @t81 () (tptp.k2_zfmisc_1 @t1 @t1)) % 34.17/34.54 (define @t82 () (tptp.m1_relset_1 @t24 @t81 @t1)) % 34.17/34.54 (define @t83 () (tptp.v1_funct_2 @t24 @t81 @t1)) % 34.17/34.54 (define @t84 () (tptp.m1_relset_1 @t23 @t81 @t1)) % 34.17/34.54 (define @t85 () (tptp.v1_funct_2 @t23 @t81 @t1)) % 34.17/34.54 (define @t86 () (tptp.v1_funct_1 @t23)) % 34.17/34.54 (define @t87 () (and @t77 @t86 @t85 @t84 @t26 @t83 @t82)) % 34.17/34.54 (define @t88 () (forall @t30 (=> @t87 @t80))) % 34.17/34.54 (define @t89 () (tptp.v4_pre_topc @t23 @t1)) % 34.17/34.54 (define @t90 () (tptp.k1_zfmisc_1 @t13)) % 34.17/34.54 (define @t91 () (tptp.m1_subset_1 @t23 @t90)) % 34.17/34.54 (define @t92 () (and @t6 @t5)) % 34.17/34.54 (define @t93 () (tptp.m1_subset_1 @t1 @t23)) % 34.17/34.54 (define @t94 () (tptp.m1_subset_1 @t23 (tptp.k1_zfmisc_1 @t24))) % 34.17/34.54 (define @t95 () (@var "F" $$unsorted)) % 34.17/34.54 (define @t96 () (@var "E" $$unsorted)) % 34.17/34.54 (define @t97 () (@var "D" $$unsorted)) % 34.17/34.54 (define @t98 () (and (= @t1 @t97) (= @t23 @t96) (= @t24 @t95))) % 34.17/34.54 (define @t99 () (= @t78 (tptp.g3_lattices @t97 @t96 @t95))) % 34.17/34.54 (define @t100 () (@list @t97 @t96 @t95)) % 34.17/34.54 (define @t101 () (forall @t100 (=> @t99 @t98))) % 34.17/34.54 (define @t102 () (and @t86 @t85 @t84 @t26 @t83 @t82)) % 34.17/34.54 (define @t103 () (=> @t102 @t101)) % 34.17/34.54 (define @t104 () (forall @t30 @t103)) % 34.17/34.54 (define @t105 () (tptp.k1_lopclset @t1)) % 34.17/34.54 (define @t106 () (tptp.k2_zfmisc_1 @t105 @t105)) % 34.17/34.54 (define @t107 () (tptp.k4_lopclset @t1)) % 34.17/34.54 (define @t108 () (and (tptp.v1_funct_1 @t107) (tptp.v1_funct_2 @t107 @t106 @t105) (tptp.m2_relset_1 @t107 @t106 @t105))) % 34.17/34.54 (define @t109 () (forall @t10 (=> @t9 @t108))) % 34.17/34.54 (define @t110 () (tptp.k5_lopclset @t1)) % 34.17/34.54 (define @t111 () (and (tptp.v1_funct_1 @t110) (tptp.v1_funct_2 @t110 @t106 @t105) (tptp.m2_relset_1 @t110 @t106 @t105))) % 34.17/34.54 (define @t112 () (forall @t10 (=> @t9 @t111))) % 34.17/34.54 (define @t113 () (and @t17 @t21)) % 34.17/34.54 (define @t114 () (forall @t10 (=> @t38 @t113))) % 34.17/34.54 (define @t115 () (and (tptp.v1_finsub_1 @t1) (tptp.v3_finsub_1 @t1))) % 34.17/34.54 (define @t116 () (tptp.v4_finsub_1 @t1)) % 34.17/34.54 (define @t117 () (and @t8 @t42)) % 34.17/34.54 (define @t118 () (= @t1 @t23)) % 34.17/34.54 (define @t119 () (tptp.m2_subset_1 @t24 @t1 @t23)) % 34.17/34.54 (define @t120 () (and @t77 @t74 @t58)) % 34.17/34.54 (define @t121 () (forall @t32 (= @t119 (tptp.m1_subset_1 @t24 @t23)))) % 34.17/34.54 (define @t122 () (forall @t33 (=> @t120 @t121))) % 34.17/34.54 (define @t123 () (tptp.m1_subset_1 @t105 (tptp.k1_zfmisc_1 @t90))) % 34.17/34.54 (define @t124 () (and @t8 @t5)) % 34.17/34.54 (define @t125 () (forall @t10 (=> @t124 @t123))) % 34.17/34.54 (define @t126 () (and (not (tptp.v3_struct_0 @t2)) (tptp.v10_lattices @t2) (tptp.l3_lattices @t2))) % 34.17/34.54 (define @t127 () (forall @t10 (=> @t9 @t126))) % 34.17/34.54 (define @t128 () (tptp.v4_finsub_1 @t57)) % 34.17/34.54 (define @t129 () (tptp.v3_finsub_1 @t57)) % 34.17/34.54 (define @t130 () (tptp.v1_finsub_1 @t57)) % 34.17/34.54 (define @t131 () (not (tptp.v1_xboole_0 @t57))) % 34.17/34.54 (define @t132 () (forall @t10 (and @t131 @t130 @t129 @t128))) % 34.17/34.54 (define @t133 () (not (tptp.v1_xboole_0 @t105))) % 34.17/34.54 (define @t134 () (forall @t10 (=> @t9 @t133))) % 34.17/34.54 (define @t135 () (= @t2 (tptp.g3_lattices @t105 @t107 @t110))) % 34.17/34.54 (define @t136 () (forall @t10 (=> @t9 @t135))) % 34.17/34.54 (define @t137 () (tptp.m2_subset_1 @t3 @t90 @t105)) % 34.17/34.54 (define @t138 () (forall @t10 (=> @t9 @t137))) % 34.17/34.54 (define @t139 () (@var "BOUND_VARIABLE_8573" $$unsorted)) % 34.17/34.54 (define @t140 () (= (tptp.m2_subset_1 @t139 @t1 @t23) (tptp.m1_subset_1 @t139 @t23))) % 34.17/34.54 (define @t141 () (not @t58)) % 34.17/34.54 (define @t142 () (or @t76 @t73 @t141 @t140)) % 34.17/34.54 (define @t143 () (@list @t139)) % 34.17/34.54 (define @t144 () (forall @t143 @t142)) % 34.17/34.54 (define @t145 () (forall @t143 @t140)) % 34.17/34.54 (define @t146 () (or @t76 @t73 @t141 @t145)) % 34.17/34.54 (define @t147 () (or @t76 @t73 @t141 @t121)) % 34.17/34.54 (define @t148 () (not @t74)) % 34.17/34.54 (define @t149 () (not @t77)) % 34.17/34.54 (define @t150 () (or @t149 @t148 @t141)) % 34.17/34.54 (define @t151 () (not @t5)) % 34.17/34.54 (define @t152 () (not @t6)) % 34.17/34.54 (define @t153 () (or @t7 @t152 @t151 @t4)) % 34.17/34.54 (define @t154 () (@quantifiers_skolemize (forall @t10 @t153) 0)) % 34.17/34.54 (define @t155 () (tptp.k1_pre_topc @t154)) % 34.17/34.54 (define @t156 () (tptp.k1_lopclset @t154)) % 34.17/34.54 (define @t157 () (tptp.u1_struct_0 @t154)) % 34.17/34.54 (define @t158 () (tptp.k1_zfmisc_1 @t157)) % 34.17/34.54 (define @t159 () (forall @t10 @t128)) % 34.17/34.54 (define @t160 () (@list @t1)) % 34.17/34.54 (define @t161 () (forall @t10 @t129)) % 34.17/34.54 (define @t162 () (forall @t10 @t130)) % 34.17/34.54 (define @t163 () (forall @t10 @t131)) % 34.17/34.54 (define @t164 () (and @t163 @t162 @t161 @t159)) % 34.17/34.54 (define @t165 () (not @t8)) % 34.17/34.54 (define @t166 () (@list @t154)) % 34.17/34.54 (define @t167 () (or @t7 @t152 @t151)) % 34.17/34.54 (define @t168 () (or @t165 @t152 @t151)) % 34.17/34.54 (define @t169 () (not @t9)) % 34.17/34.54 (define @t170 () (tptp.l1_pre_topc @t154)) % 34.17/34.54 (define @t171 () (tptp.k6_lopclset @t154)) % 34.17/34.54 (define @t172 () (tptp.u1_struct_0 @t171)) % 34.17/34.54 (define @t173 () (tptp.m1_subset_1 @t155 @t172)) % 34.17/34.54 (define @t174 () (not @t170)) % 34.17/34.54 (define @t175 () (tptp.v2_pre_topc @t154)) % 34.17/34.54 (define @t176 () (not @t175)) % 34.17/34.54 (define @t177 () (tptp.v3_struct_0 @t154)) % 34.17/34.54 (define @t178 () (or @t177 @t176 @t174 @t173)) % 34.17/34.54 (define @t179 () (@list true)) % 34.17/34.54 (define @t180 () (@list @t178)) % 34.17/34.54 (define @t181 () (tptp.m1_subset_1 @t156 (tptp.k1_zfmisc_1 @t158))) % 34.17/34.54 (define @t182 () (or @t177 @t174 @t181)) % 34.17/34.54 (define @t183 () (tptp.v1_xboole_0 @t156)) % 34.17/34.54 (define @t184 () (not @t183)) % 34.17/34.54 (define @t185 () (or @t177 @t176 @t174 @t184)) % 34.17/34.54 (define @t186 () (@list true false false false)) % 34.17/34.54 (define @t187 () (tptp.m1_subset_1 @t155 @t156)) % 34.17/34.54 (define @t188 () (tptp.m2_subset_1 @t155 @t158 @t156)) % 34.17/34.54 (define @t189 () (= @t188 @t187)) % 34.17/34.54 (define @t190 () (not @t181)) % 34.17/34.54 (define @t191 () (tptp.v1_xboole_0 @t158)) % 34.17/34.54 (define @t192 () (or @t191 @t183 @t190 @t189)) % 34.17/34.54 (define @t193 () (or @t177 @t176 @t174 @t188)) % 34.17/34.54 (define @t194 () (@list false false)) % 34.17/34.54 (define @t195 () (@var "BOUND_VARIABLE_8419" $$unsorted)) % 34.17/34.54 (define @t196 () (@var "BOUND_VARIABLE_8417" $$unsorted)) % 34.17/34.54 (define @t197 () (@var "BOUND_VARIABLE_8415" $$unsorted)) % 34.17/34.54 (define @t198 () (and (= @t1 @t197) (= @t23 @t196) (= @t24 @t195))) % 34.17/34.54 (define @t199 () (not (= @t78 (tptp.g3_lattices @t197 @t196 @t195)))) % 34.17/34.54 (define @t200 () (not @t82)) % 34.17/34.54 (define @t201 () (not @t83)) % 34.17/34.54 (define @t202 () (not @t26)) % 34.17/34.54 (define @t203 () (not @t84)) % 34.17/34.54 (define @t204 () (not @t85)) % 34.17/34.54 (define @t205 () (not @t86)) % 34.17/34.54 (define @t206 () (or @t199 @t198)) % 34.17/34.54 (define @t207 () (or @t205 @t204 @t203 @t202 @t201 @t200 @t206)) % 34.17/34.54 (define @t208 () (forall (@list @t1 @t23 @t24 @t197 @t196 @t195) @t207)) % 34.17/34.54 (define @t209 () (@list @t197 @t196 @t195)) % 34.17/34.54 (define @t210 () (forall @t209 @t207)) % 34.17/34.54 (define @t211 () (forall @t209 @t206)) % 34.17/34.54 (define @t212 () (or @t205 @t204 @t203 @t202 @t201 @t200 @t211)) % 34.17/34.54 (define @t213 () (forall @t100 (or (not @t99) @t98))) % 34.17/34.54 (define @t214 () (or @t205 @t204 @t203 @t202 @t201 @t200 @t213)) % 34.17/34.54 (define @t215 () (or @t205 @t204 @t203 @t202 @t201 @t200)) % 34.17/34.54 (define @t216 () (or @t205 (or @t204 (or @t203 (or @t202 (or @t201 @t200)))))) % 34.17/34.54 (define @t217 () (not @t102)) % 34.17/34.54 (define @t218 () (tptp.k5_lopclset @t154)) % 34.17/34.54 (define @t219 () (tptp.k4_lopclset @t154)) % 34.17/34.54 (define @t220 () (tptp.u1_lattices @t171)) % 34.17/34.54 (define @t221 () (tptp.u2_lattices @t171)) % 34.17/34.54 (define @t222 () (tptp.g3_lattices @t156 @t219 @t218)) % 34.17/34.54 (define @t223 () (= @t171 @t222)) % 34.17/34.54 (define @t224 () (or @t177 @t176 @t174 @t223)) % 34.17/34.54 (define @t225 () (not @t36)) % 34.17/34.54 (define @t226 () (not @t38)) % 34.17/34.54 (define @t227 () (@list @t171)) % 34.17/34.54 (define @t228 () (or @t149 @t205 @t204 @t203 @t202 @t201 @t200)) % 34.17/34.54 (define @t229 () (tptp.k2_zfmisc_1 @t156 @t156)) % 34.17/34.54 (define @t230 () (tptp.m1_relset_1 @t218 @t229 @t156)) % 34.17/34.54 (define @t231 () (tptp.m2_relset_1 @t218 @t229 @t156)) % 34.17/34.54 (define @t232 () (forall @t30 (= @t29 @t40))) % 34.17/34.54 (define @t233 () (= @t230 @t231)) % 34.17/34.54 (define @t234 () (= @t231 @t230)) % 34.17/34.54 (define @t235 () (@list false)) % 34.17/34.54 (define @t236 () (@list @t232)) % 34.17/34.54 (define @t237 () (tptp.v1_funct_2 @t218 @t229 @t156)) % 34.17/34.54 (define @t238 () (tptp.v1_funct_1 @t218)) % 34.17/34.54 (define @t239 () (and @t238 @t237 @t231)) % 34.17/34.54 (define @t240 () (or @t177 @t176 @t174 @t239)) % 34.17/34.54 (define @t241 () (not @t239)) % 34.17/34.54 (define @t242 () (@list @t239)) % 34.17/34.54 (define @t243 () (tptp.m1_relset_1 @t219 @t229 @t156)) % 34.17/34.54 (define @t244 () (tptp.m2_relset_1 @t219 @t229 @t156)) % 34.17/34.54 (define @t245 () (= @t243 @t244)) % 34.17/34.54 (define @t246 () (= @t244 @t243)) % 34.17/34.54 (define @t247 () (tptp.v1_funct_2 @t219 @t229 @t156)) % 34.17/34.54 (define @t248 () (tptp.v1_funct_1 @t219)) % 34.17/34.54 (define @t249 () (and @t248 @t247 @t244)) % 34.17/34.54 (define @t250 () (or @t177 @t176 @t174 @t249)) % 34.17/34.54 (define @t251 () (not @t249)) % 34.17/34.54 (define @t252 () (@list @t249)) % 34.17/34.54 (define @t253 () (tptp.v3_lattices @t222)) % 34.17/34.54 (define @t254 () (and (not (tptp.v3_struct_0 @t222)) @t253)) % 34.17/34.54 (define @t255 () (not @t230)) % 34.17/34.54 (define @t256 () (not @t237)) % 34.17/34.54 (define @t257 () (not @t238)) % 34.17/34.54 (define @t258 () (not @t243)) % 34.17/34.54 (define @t259 () (not @t247)) % 34.17/34.54 (define @t260 () (not @t248)) % 34.17/34.54 (define @t261 () (or @t183 @t260 @t259 @t258 @t257 @t256 @t255 @t254)) % 34.17/34.54 (define @t262 () (tptp.v3_lattices @t171)) % 34.17/34.54 (define @t263 () (tptp.l3_lattices @t171)) % 34.17/34.54 (define @t264 () (and (not (tptp.v3_struct_0 @t171)) (tptp.v10_lattices @t171) @t263)) % 34.17/34.54 (define @t265 () (or @t177 @t176 @t174 @t264)) % 34.17/34.54 (define @t266 () (tptp.g3_lattices @t172 @t221 @t220)) % 34.17/34.54 (define @t267 () (= @t171 @t266)) % 34.17/34.54 (define @t268 () (not @t262)) % 34.17/34.54 (define @t269 () (not @t263)) % 34.17/34.54 (define @t270 () (or @t269 @t268 @t267)) % 34.17/34.54 (define @t271 () (tptp.k2_zfmisc_1 @t172 @t172)) % 34.17/34.54 (define @t272 () (tptp.m1_relset_1 @t221 @t271 @t172)) % 34.17/34.54 (define @t273 () (tptp.m2_relset_1 @t221 @t271 @t172)) % 34.17/34.54 (define @t274 () (= @t272 @t273)) % 34.17/34.54 (define @t275 () (= @t273 @t272)) % 34.17/34.54 (define @t276 () (tptp.l2_lattices @t171)) % 34.17/34.54 (define @t277 () (tptp.l1_lattices @t171)) % 34.17/34.54 (define @t278 () (and @t277 @t276)) % 34.17/34.54 (define @t279 () (or @t269 @t278)) % 34.17/34.54 (define @t280 () (not @t278)) % 34.17/34.54 (define @t281 () (@list @t278)) % 34.17/34.54 (define @t282 () (tptp.v1_funct_2 @t221 @t271 @t172)) % 34.17/34.54 (define @t283 () (tptp.v1_funct_1 @t221)) % 34.17/34.54 (define @t284 () (and @t283 @t282 @t273)) % 34.17/34.54 (define @t285 () (not @t276)) % 34.17/34.54 (define @t286 () (or @t285 @t284)) % 34.17/34.54 (define @t287 () (not @t284)) % 34.17/34.54 (define @t288 () (@list @t284)) % 34.17/34.54 (define @t289 () (tptp.m1_relset_1 @t220 @t271 @t172)) % 34.17/34.54 (define @t290 () (tptp.m2_relset_1 @t220 @t271 @t172)) % 34.17/34.54 (define @t291 () (= @t289 @t290)) % 34.17/34.54 (define @t292 () (= @t290 @t289)) % 34.17/34.54 (define @t293 () (tptp.v1_funct_2 @t220 @t271 @t172)) % 34.17/34.54 (define @t294 () (tptp.v1_funct_1 @t220)) % 34.17/34.54 (define @t295 () (and @t294 @t293 @t290)) % 34.17/34.54 (define @t296 () (not @t277)) % 34.17/34.54 (define @t297 () (or @t296 @t295)) % 34.17/34.54 (define @t298 () (not @t295)) % 34.17/34.54 (define @t299 () (@list @t295)) % 34.17/34.54 (define @t300 () (= @t172 @t156)) % 34.17/34.54 (define @t301 () (and @t300 (= @t221 @t219) (= @t220 @t218))) % 34.17/34.54 (define @t302 () (= @t266 @t222)) % 34.17/34.54 (define @t303 () (not @t302)) % 34.17/34.54 (define @t304 () (not @t289)) % 34.17/34.54 (define @t305 () (not @t293)) % 34.17/34.54 (define @t306 () (not @t294)) % 34.17/34.54 (define @t307 () (not @t272)) % 34.17/34.54 (define @t308 () (not @t282)) % 34.17/34.54 (define @t309 () (not @t283)) % 34.17/34.54 (define @t310 () (or @t309 @t308 @t307 @t306 @t305 @t304 @t303 @t301)) % 34.17/34.54 (assume @p1 @t12) % 34.17/34.54 (assume @p2 @t18) % 34.17/34.54 (assume @p3 @t22) % 34.17/34.54 (assume @p4 (forall @t30 (=> @t29 (=> (and @t26 @t28) @t27)))) % 34.17/34.54 (assume @p5 (forall @t33 (exists @t32 (and @t29 @t31 @t26 @t25)))) % 34.17/34.54 (assume @p6 (forall @t33 (exists @t32 (and @t29 @t31 @t26)))) % 34.17/34.54 (assume @p7 (forall @t33 (=> @t34 (not (tptp.r2_hidden @t23 @t1))))) % 34.17/34.54 (assume @p8 @t39) % 34.17/34.54 (assume @p9 (exists @t10 @t17)) % 34.17/34.54 (assume @p10 (exists @t10 @t21)) % 34.17/34.54 (assume @p11 (forall @t33 (exists @t32 @t29))) % 34.17/34.54 (assume @p12 (forall @t33 (exists @t32 @t40))) % 34.17/34.54 (assume @p13 @t41) % 34.17/34.54 (assume @p14 true) % 34.17/34.54 (assume @p15 (forall @t10 (=> @t17 @t42))) % 34.17/34.54 (assume @p16 (forall @t10 (=> @t21 @t42))) % 34.17/34.54 (assume @p17 (forall @t30 (=> @t40 @t44))) % 34.17/34.54 (assume @p18 (forall @t10 (=> @t48 (forall @t47 (=> @t46 @t45))))) % 34.17/34.54 (assume @p19 (forall @t10 (=> @t50 (forall @t47 (=> @t46 (and @t45 @t49)))))) % 34.17/34.54 (assume @p20 (forall @t10 (=> @t52 (forall @t47 (=> @t46 (and @t45 @t49 @t51)))))) % 34.17/34.54 (assume @p21 (forall @t10 (=> @t54 (forall @t47 (=> @t46 (and @t45 @t49 @t53 @t51)))))) % 34.17/34.54 (assume @p22 (forall @t10 (=> @t55 (forall @t47 (=> @t46 (and @t45 (tptp.v4_ordinal2 @t23) @t49 @t53 @t51)))))) % 34.17/34.54 (assume @p23 (forall @t10 (=> @t48 (forall @t47 (=> @t58 @t56))))) % 34.17/34.54 (assume @p24 (forall @t10 (=> @t50 (forall @t47 (=> @t58 (and @t56 @t59)))))) % 34.17/34.54 (assume @p25 (forall @t10 (=> @t52 (forall @t47 (=> @t58 (and @t56 @t59 @t60)))))) % 34.17/34.54 (assume @p26 (forall @t10 (=> @t54 (forall @t47 (=> @t58 (and @t56 @t59 @t60 @t61)))))) % 34.17/34.54 (assume @p27 (forall @t10 (=> @t55 @t54))) % 34.17/34.54 (assume @p28 (forall @t30 (=> @t44 @t31))) % 34.17/34.54 (assume @p29 (forall @t10 (=> @t55 (forall @t47 (=> @t58 (and @t56 @t59 @t60 @t61 (tptp.v5_membered @t23))))))) % 34.17/34.54 (assume @p30 (forall @t10 (=> @t63 (forall @t47 (=> @t58 @t62))))) % 34.17/34.54 (assume @p31 (forall @t10 (=> @t38 (=> @t72 @t65)))) % 34.17/34.54 (assume @p32 (forall @t10 (=> @t54 @t52))) % 34.17/34.54 (assume @p33 (forall @t10 (=> @t52 @t50))) % 34.17/34.54 (assume @p34 (forall @t10 (=> @t50 @t48))) % 34.17/34.54 (assume @p35 (forall @t33 (=> @t74 (forall @t32 (=> @t29 (=> @t27 (and @t26 @t28 @t25))))))) % 34.17/34.54 (assume @p36 (forall @t33 (=> (and @t77 @t74) (forall @t32 (=> @t29 (=> @t27 (and @t26 (not @t75) @t28 @t25))))))) % 34.17/34.54 (assume @p37 (forall @t33 (=> (and @t63 @t62) (tptp.v1_finset_1 @t43)))) % 34.17/34.54 (assume @p38 @t88) % 34.17/34.54 (assume @p39 (and (tptp.v1_xboole_0 tptp.k1_xboole_0) (tptp.v1_membered tptp.k1_xboole_0) (tptp.v2_membered tptp.k1_xboole_0) (tptp.v3_membered tptp.k1_xboole_0) (tptp.v4_membered tptp.k1_xboole_0) (tptp.v5_membered tptp.k1_xboole_0))) % 34.17/34.54 (assume @p40 (exists @t10 (and @t77 @t63))) % 34.17/34.54 (assume @p41 (exists @t10 (and @t77 @t48 @t50 @t52 @t54 @t55))) % 34.17/34.54 (assume @p42 (forall @t10 (=> @t77 (exists @t47 (and @t58 @t74 @t62))))) % 34.17/34.54 (assume @p43 (exists @t10 (and @t38 @t36))) % 34.17/34.54 (assume @p44 (exists @t10 (and @t38 @t8 @t36))) % 34.17/34.54 (assume @p45 (forall @t10 (=> @t92 (exists @t47 (and @t91 @t89))))) % 34.17/34.54 (assume @p46 (forall @t10 (=> @t9 (exists @t47 (and @t91 @t74 @t89))))) % 34.17/34.54 (assume @p47 (exists @t10 (and @t38 @t8 @t36 @t71 @t70 @t69 @t68 @t67 @t66 @t64))) % 34.17/34.54 (assume @p48 (forall @t33 (=> @t34 @t93))) % 34.17/34.54 (assume @p49 (forall @t30 (=> (and @t34 @t94) (tptp.m1_subset_1 @t1 @t24)))) % 34.17/34.54 (assume @p50 (forall @t30 (not (and @t34 @t94 @t75)))) % 34.17/34.54 (assume @p51 @t104) % 34.17/34.54 (assume @p52 (forall @t33 (tptp.r1_tarski @t1 @t1))) % 34.17/34.54 (assume @p53 (exists @t10 @t42)) % 34.17/34.54 (assume @p54 (exists @t10 @t38)) % 34.17/34.54 (assume @p55 (forall @t30 (=> @t102 (and @t79 (tptp.l3_lattices @t78))))) % 34.17/34.54 (assume @p56 @t109) % 34.17/34.54 (assume @p57 @t112) % 34.17/34.54 (assume @p58 @t114) % 34.17/34.54 (assume @p59 (forall @t10 (=> @t76 (and @t48 @t50 @t52 @t54 @t55)))) % 34.17/34.54 (assume @p60 (forall @t10 (=> @t76 @t63))) % 34.17/34.54 (assume @p61 (forall @t10 (=> @t116 @t115))) % 34.17/34.54 (assume @p62 (forall @t10 (=> @t38 (=> @t65 @t72)))) % 34.17/34.54 (assume @p63 (forall @t10 (=> @t115 @t116))) % 34.17/34.54 (assume @p64 (forall @t10 (=> @t42 (and (tptp.v1_xboole_0 @t3) (tptp.v1_membered @t3) (tptp.v2_membered @t3) (tptp.v3_membered @t3) (tptp.v4_membered @t3) (tptp.v5_membered @t3))))) % 34.17/34.54 (assume @p65 (forall @t10 (=> @t117 (not (tptp.v1_xboole_0 @t13))))) % 34.17/34.54 (assume @p66 (exists @t10 (and @t42 @t8))) % 34.17/34.54 (assume @p67 (forall @t10 (=> @t117 (exists @t47 (and @t91 @t74))))) % 34.17/34.54 (assume @p68 (forall @t33 (=> @t93 (or @t73 @t34)))) % 34.17/34.54 (assume @p69 (forall @t10 (=> @t76 (= @t1 tptp.k1_xboole_0)))) % 34.17/34.54 (assume @p70 (forall @t33 (not (and @t34 @t73)))) % 34.17/34.54 (assume @p71 (forall @t33 (not (and @t76 (not @t118) @t73)))) % 34.17/34.54 (assume @p72 (forall @t33 (=> (forall @t32 (= (tptp.r2_hidden @t24 @t1) (tptp.r2_hidden @t24 @t23))) @t118))) % 34.17/34.54 (assume @p73 (forall @t33 (=> (and (not (tptp.v3_struct_0 @t23)) (tptp.l1_pre_topc @t23)) (= (tptp.r2_hidden @t1 (tptp.a_1_0_lopclset @t23)) (exists @t32 (and (tptp.m1_subset_1 @t24 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 @t23))) (= @t1 @t24) (tptp.v3_pre_topc @t24 @t23) (tptp.v4_pre_topc @t24 @t23))))))) % 34.17/34.54 (assume @p74 (exists @t10 @t5)) % 34.17/34.54 (assume @p75 (forall @t10 (exists @t47 @t46))) % 34.17/34.54 (assume @p76 (forall @t33 (=> @t120 (exists @t32 @t119)))) % 34.17/34.54 (assume @p77 @t122) % 34.17/34.54 (assume @p78 @t125) % 34.17/34.54 (assume @p79 (forall @t10 (=> @t42 (tptp.m1_subset_1 @t3 @t90)))) % 34.17/34.54 (assume @p80 @t127) % 34.17/34.54 (assume @p81 (forall @t10 (=> @t5 @t42))) % 34.17/34.54 (assume @p82 (forall @t33 (=> @t120 (forall @t32 (=> @t119 (tptp.m1_subset_1 @t24 @t1)))))) % 34.17/34.54 (assume @p83 @t132) % 34.17/34.54 (assume @p84 @t134) % 34.17/34.54 (assume @p85 (forall @t33 (= (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t23)) (tptp.r1_tarski @t1 @t23)))) % 34.17/34.54 (assume @p86 (forall @t10 (=> @t124 (= @t105 (tptp.a_1_0_lopclset @t1))))) % 34.17/34.54 (assume @p87 @t136) % 34.17/34.54 (assume @p88 @t138) % 34.17/34.54 (step @p89 :rule evaluate :args ((= false true))) % 34.17/34.54 (step @p90 :rule quant-merge-prenex :args ((= (forall @t33 @t144) (forall (@list @t1 @t23 @t139) @t142)))) % 34.17/34.54 (step @p91 :rule alpha_equiv :args (@t145 (@list @t139) (@list @t24))) % 34.17/34.54 (step @p92 :rule refl :args (@t141)) % 34.17/34.54 (step @p93 :rule refl :args (@t73)) % 34.17/34.54 (step @p94 :rule refl :args (@t76)) % 34.17/34.54 (step @p95 :rule nary_cong :premises (@p94 @p93 @p92 @p91) :args (@t146)) % 34.17/34.54 (step @p96 :rule quant-miniscope-or :args ((= @t144 @t146))) % 34.17/34.54 (step @p97 :rule trans :premises (@p96 @p95)) % 34.17/34.54 (step @p98 :rule symm :premises (@p97)) % 34.17/34.54 (step @p99 :rule cong :premises (@p98) :args ((forall @t33 @t147))) % 34.17/34.54 (step @p100 :rule trans :premises (@p99 @p90)) % 34.17/34.54 (step @p101 :rule aci_norm :args ((= (or (or @t76 @t73 @t141) @t121) @t147))) % 34.17/34.54 (step @p102 :rule refl :args (@t121)) % 34.17/34.54 (step @p103 :rule bool-double-not-elim :args (@t73)) % 34.17/34.54 (step @p104 :rule bool-double-not-elim :args (@t76)) % 34.17/34.54 (step @p105 :rule nary_cong :premises (@p104 @p103 @p92) :args (@t150)) % 34.17/34.54 (step @p106 :rule aci_norm :args ((= (or @t149 (or @t148 @t141)) @t150))) % 34.17/34.54 (step @p107 :rule trans :premises (@p106 @p105)) % 34.17/34.54 (step @p108 :rule bool-and-de-morgan :args (@t74 @t58 true)) % 34.17/34.54 (step @p109 :rule refl :args (@t149)) % 34.17/34.54 (step @p110 :rule nary_cong :premises (@p109 @p108) :args ((or @t149 (not (and @t74 @t58))))) % 34.17/34.54 (step @p111 :rule bool-and-de-morgan :args (@t77 @t74 (and @t58))) % 34.17/34.54 (step @p112 :rule trans :premises (@p111 @p110)) % 34.17/34.54 (step @p113 :rule trans :premises (@p112 @p107)) % 34.17/34.54 (step @p114 :rule nary_cong :premises (@p113 @p102) :args ((or (not @t120) @t121))) % 34.17/34.54 (step @p115 :rule trans :premises (@p114 @p101)) % 34.17/34.54 (step @p116 :rule bool-impl-elim :args (@t120 @t121)) % 34.17/34.54 (step @p117 :rule trans :premises (@p116 @p115)) % 34.17/34.54 (step @p118 :rule cong :premises (@p117) :args (@t122)) % 34.17/34.54 (step @p119 :rule trans :premises (@p118 @p100)) % 34.17/34.54 (step @p120 :rule eq_resolve :premises (@p77 @p119)) % 34.17/34.54 (step @p121 :rule instantiate :premises (@p120) :args ((@list @t158 @t156 @t155))) % 34.17/34.54 (step @p122 :rule alpha_equiv :args (@t159 @t160 (@list (@var "BOUND_VARIABLE_8633" $$unsorted)))) % 34.17/34.54 (step @p123 :rule alpha_equiv :args (@t161 @t160 (@list (@var "BOUND_VARIABLE_8627" $$unsorted)))) % 34.17/34.54 (step @p124 :rule alpha_equiv :args (@t162 @t160 (@list (@var "BOUND_VARIABLE_8621" $$unsorted)))) % 34.17/34.54 (step @p125 :rule alpha_equiv :args (@t163 @t160 (@list (@var "BOUND_VARIABLE_8614" $$unsorted)))) % 34.17/34.54 (step @p126 :rule nary_cong :premises (@p125 @p124 @p123 @p122) :args (@t164)) % 34.17/34.54 (step @p127 :rule quant-miniscope-and :args ((= @t132 @t164))) % 34.17/34.54 (step @p128 :rule trans :premises (@p127 @p126)) % 34.17/34.54 (step @p129 :rule eq_resolve :premises (@p83 @p128)) % 34.17/34.54 (step @p130 :rule and_elim :premises (@p129) :args (0)) % 34.17/34.54 (step @p131 :rule instantiate :premises (@p130) :args ((@list @t157))) % 34.17/34.54 (step @p132 :rule aci_norm :args ((= (or (or @t7 @t151) @t123) (or @t7 @t151 @t123)))) % 34.17/34.54 (step @p133 :rule refl :args (@t123)) % 34.17/34.54 (step @p134 :rule refl :args (@t151)) % 34.17/34.54 (step @p135 :rule bool-double-not-elim :args (@t7)) % 34.17/34.54 (step @p136 :rule nary_cong :premises (@p135 @p134) :args ((or @t165 @t151))) % 34.17/34.54 (step @p137 :rule bool-and-de-morgan :args (@t8 @t5 true)) % 34.17/34.54 (step @p138 :rule trans :premises (@p137 @p136)) % 34.17/34.54 (step @p139 :rule nary_cong :premises (@p138 @p133) :args ((or (not @t124) @t123))) % 34.17/34.54 (step @p140 :rule trans :premises (@p139 @p132)) % 34.17/34.54 (step @p141 :rule bool-impl-elim :args (@t124 @t123)) % 34.17/34.54 (step @p142 :rule trans :premises (@p141 @p140)) % 34.17/34.54 (step @p143 :rule cong :premises (@p142) :args (@t125)) % 34.17/34.54 (step @p144 :rule eq_resolve :premises (@p78 @p143)) % 34.17/34.54 (step @p145 :rule instantiate :premises (@p144) :args (@t166)) % 34.17/34.54 (step @p146 :rule aci_norm :args ((= (or @t167 @t4) @t153))) % 34.17/34.54 (step @p147 :rule refl :args (@t4)) % 34.17/34.54 (step @p148 :rule refl :args (@t152)) % 34.17/34.54 (step @p149 :rule nary_cong :premises (@p135 @p148 @p134) :args (@t168)) % 34.17/34.54 (step @p150 :rule aci_norm :args ((= (or @t165 (or @t152 @t151)) @t168))) % 34.17/34.54 (step @p151 :rule trans :premises (@p150 @p149)) % 34.17/34.54 (step @p152 :rule bool-and-de-morgan :args (@t6 @t5 true)) % 34.17/34.54 (step @p153 :rule refl :args (@t165)) % 34.17/34.54 (step @p154 :rule nary_cong :premises (@p153 @p152) :args ((or @t165 (not @t92)))) % 34.17/34.54 (step @p155 :rule bool-and-de-morgan :args (@t8 @t6 (and @t5))) % 34.17/34.54 (step @p156 :rule trans :premises (@p155 @p154)) % 34.17/34.54 (step @p157 :rule trans :premises (@p156 @p151)) % 34.17/34.54 (step @p158 :rule nary_cong :premises (@p157 @p147) :args ((or @t169 @t4))) % 34.17/34.54 (step @p159 :rule trans :premises (@p158 @p146)) % 34.17/34.54 (step @p160 :rule bool-impl-elim :args (@t9 @t4)) % 34.17/34.54 (step @p161 :rule trans :premises (@p160 @p159)) % 34.17/34.54 (step @p162 :rule cong :premises (@p161) :args (@t11)) % 34.17/34.54 (step @p163 :rule cong :premises (@p162) :args (@t12)) % 34.17/34.54 (step @p164 :rule eq_resolve :premises (@p1 @p163)) % 34.17/34.54 (step @p165 :rule skolemize :premises (@p164)) % 34.17/34.54 (step @p166 :rule bool-double-not-elim :args (@t170)) % 34.17/34.54 (step @p167 :rule refl :args (@t178)) % 34.17/34.54 (step @p168 :rule nary_cong :premises (@p167 @p166) :args ((or @t178 (not @t174)))) % 34.17/34.54 (step @p169 :rule cnf_or_neg :args (@t178 2)) % 34.17/34.54 (step @p170 :rule eq_resolve :premises (@p169 @p168)) % 34.17/34.54 (step @p171 :rule reordering :premises (@p170) :args ((or @t170 @t178))) % 34.17/34.54 (step @p172 :rule chain_m_resolution :premises (@p171 @p165) :args (@t170 @t179 @t180)) % 34.17/34.54 (step @p173 :rule cnf_or_neg :args (@t178 0)) % 34.17/34.54 (step @p174 :rule chain_m_resolution :premises (@p173 @p165) :args ((not @t177) @t179 @t180)) % 34.17/34.54 (step @p175 :rule cnf_or_pos :args (@t182)) % 34.17/34.54 (step @p176 :rule reordering :premises (@p175) :args ((or @t177 @t174 @t181 (not @t182)))) % 34.17/34.54 (step @p177 :rule chain_m_resolution :premises (@p176 @p174 @p172 @p145) :args (@t181 (@list true false false) (@list @t177 @t170 @t182))) % 34.17/34.54 (step @p178 :rule aci_norm :args ((= (or @t167 @t133) (or @t7 @t152 @t151 @t133)))) % 34.17/34.54 (step @p179 :rule refl :args (@t133)) % 34.17/34.54 (step @p180 :rule nary_cong :premises (@p157 @p179) :args ((or @t169 @t133))) % 34.17/34.54 (step @p181 :rule trans :premises (@p180 @p178)) % 34.17/34.54 (step @p182 :rule bool-impl-elim :args (@t9 @t133)) % 34.17/34.54 (step @p183 :rule trans :premises (@p182 @p181)) % 34.17/34.54 (step @p184 :rule cong :premises (@p183) :args (@t134)) % 34.17/34.54 (step @p185 :rule eq_resolve :premises (@p84 @p184)) % 34.17/34.54 (step @p186 :rule instantiate :premises (@p185) :args (@t166)) % 34.17/34.54 (step @p187 :rule bool-double-not-elim :args (@t175)) % 34.17/34.54 (step @p188 :rule nary_cong :premises (@p167 @p187) :args ((or @t178 (not @t176)))) % 34.17/34.54 (step @p189 :rule cnf_or_neg :args (@t178 1)) % 34.17/34.54 (step @p190 :rule eq_resolve :premises (@p189 @p188)) % 34.17/34.54 (step @p191 :rule reordering :premises (@p190) :args ((or @t175 @t178))) % 34.17/34.54 (step @p192 :rule chain_m_resolution :premises (@p191 @p165) :args (@t175 @t179 @t180)) % 34.17/34.54 (step @p193 :rule cnf_or_pos :args (@t185)) % 34.17/34.54 (step @p194 :rule reordering :premises (@p193) :args ((or @t177 @t176 @t174 @t184 (not @t185)))) % 34.17/34.54 (step @p195 :rule chain_m_resolution :premises (@p194 @p174 @p192 @p172 @p186) :args (@t184 @t186 (@list @t177 @t175 @t170 @t185))) % 34.17/34.54 (step @p196 :rule cnf_or_pos :args (@t192)) % 34.17/34.54 (step @p197 :rule reordering :premises (@p196) :args ((or @t183 @t190 @t191 @t189 (not @t192)))) % 34.17/34.54 (step @p198 :rule chain_m_resolution :premises (@p197 @p195 @p177 @p131 @p121) :args (@t189 (@list true false true false) (@list @t183 @t181 @t191 @t192))) % 34.17/34.54 (step @p199 :rule aci_norm :args ((= (or @t167 @t137) (or @t7 @t152 @t151 @t137)))) % 34.17/34.54 (step @p200 :rule refl :args (@t137)) % 34.17/34.54 (step @p201 :rule nary_cong :premises (@p157 @p200) :args ((or @t169 @t137))) % 34.17/34.54 (step @p202 :rule trans :premises (@p201 @p199)) % 34.17/34.54 (step @p203 :rule bool-impl-elim :args (@t9 @t137)) % 34.17/34.54 (step @p204 :rule trans :premises (@p203 @p202)) % 34.17/34.54 (step @p205 :rule cong :premises (@p204) :args (@t138)) % 34.17/34.54 (step @p206 :rule eq_resolve :premises (@p88 @p205)) % 34.17/34.54 (step @p207 :rule instantiate :premises (@p206) :args (@t166)) % 34.17/34.54 (step @p208 :rule cnf_or_pos :args (@t193)) % 34.17/34.54 (step @p209 :rule reordering :premises (@p208) :args ((or @t177 @t176 @t174 @t188 (not @t193)))) % 34.17/34.54 (step @p210 :rule chain_m_resolution :premises (@p209 @p174 @p192 @p172 @p207) :args (@t188 @t186 (@list @t177 @t175 @t170 @t193))) % 34.17/34.54 (step @p211 :rule cnf_equiv_pos1 :args (@t189)) % 34.17/34.54 (step @p212 :rule reordering :premises (@p211) :args ((or (not @t188) @t187 (not @t189)))) % 34.17/34.54 (step @p213 :rule chain_m_resolution :premises (@p212 @p210 @p198) :args (@t187 @t194 (@list @t188 @t189))) % 34.17/34.54 (step @p214 :rule true_intro :premises (@p213)) % 34.17/34.54 (step @p215 :rule aci_norm :args ((= @t207 (or @t205 @t204 @t203 @t202 @t201 @t200 @t199 @t198)))) % 34.17/34.54 (step @p216 :rule cong :premises (@p215) :args (@t208)) % 34.17/34.54 (step @p217 :rule quant-merge-prenex :args ((= (forall @t30 @t210) @t208))) % 34.17/34.54 (step @p218 :rule alpha_equiv :args (@t211 (@list @t197 @t196 @t195) (@list @t97 @t96 @t95))) % 34.17/34.54 (step @p219 :rule refl :args (@t200)) % 34.17/34.54 (step @p220 :rule refl :args (@t201)) % 34.17/34.54 (step @p221 :rule refl :args (@t202)) % 34.17/34.54 (step @p222 :rule refl :args (@t203)) % 34.17/34.54 (step @p223 :rule refl :args (@t204)) % 34.17/34.54 (step @p224 :rule refl :args (@t205)) % 34.17/34.54 (step @p225 :rule nary_cong :premises (@p224 @p223 @p222 @p221 @p220 @p219 @p218) :args (@t212)) % 34.17/34.54 (step @p226 :rule quant-miniscope-or :args ((= @t210 @t212))) % 34.17/34.54 (step @p227 :rule trans :premises (@p226 @p225)) % 34.17/34.54 (step @p228 :rule symm :premises (@p227)) % 34.17/34.54 (step @p229 :rule cong :premises (@p228) :args ((forall @t30 @t214))) % 34.17/34.54 (step @p230 :rule trans :premises (@p229 @p217)) % 34.17/34.54 (step @p231 :rule trans :premises (@p230 @p216)) % 34.17/34.54 (step @p232 :rule aci_norm :args ((= (or @t215 @t213) @t214))) % 34.17/34.54 (step @p233 :rule refl :args (@t213)) % 34.17/34.54 (step @p234 :rule aci_norm :args ((= @t216 @t215))) % 34.17/34.54 (step @p235 :rule bool-and-de-morgan :args (@t83 @t82 true)) % 34.17/34.54 (step @p236 :rule nary_cong :premises (@p221 @p235) :args ((or @t202 (not (and @t83 @t82))))) % 34.17/34.54 (step @p237 :rule bool-and-de-morgan :args (@t26 @t83 (and @t82))) % 34.17/34.54 (step @p238 :rule trans :premises (@p237 @p236)) % 34.17/34.54 (step @p239 :rule nary_cong :premises (@p222 @p238) :args ((or @t203 (not (and @t26 @t83 @t82))))) % 34.17/34.54 (step @p240 :rule bool-and-de-morgan :args (@t84 @t26 (and @t83 @t82))) % 34.17/34.54 (step @p241 :rule trans :premises (@p240 @p239)) % 34.17/34.54 (step @p242 :rule nary_cong :premises (@p223 @p241) :args ((or @t204 (not (and @t84 @t26 @t83 @t82))))) % 34.17/34.54 (step @p243 :rule bool-and-de-morgan :args (@t85 @t84 (and @t26 @t83 @t82))) % 34.17/34.54 (step @p244 :rule trans :premises (@p243 @p242)) % 34.17/34.54 (step @p245 :rule nary_cong :premises (@p224 @p244) :args ((or @t205 (not (and @t85 @t84 @t26 @t83 @t82))))) % 34.17/34.54 (step @p246 :rule bool-and-de-morgan :args (@t86 @t85 (and @t84 @t26 @t83 @t82))) % 34.17/34.54 (step @p247 :rule trans :premises (@p246 @p245)) % 34.17/34.54 (step @p248 :rule trans :premises (@p247 @p234)) % 34.17/34.54 (step @p249 :rule nary_cong :premises (@p248 @p233) :args ((or @t217 @t213))) % 34.17/34.54 (step @p250 :rule trans :premises (@p249 @p232)) % 34.17/34.54 (step @p251 :rule bool-impl-elim :args (@t102 @t213)) % 34.17/34.54 (step @p252 :rule trans :premises (@p251 @p250)) % 34.17/34.54 (step @p253 :rule cong :premises (@p252) :args ((forall @t30 (=> @t102 @t213)))) % 34.17/34.54 (step @p254 :rule trans :premises (@p253 @p231)) % 34.17/34.54 (step @p255 :rule bool-impl-elim :args (@t99 @t98)) % 34.17/34.54 (step @p256 :rule cong :premises (@p255) :args (@t101)) % 34.17/34.54 (step @p257 :rule refl :args (@t102)) % 34.17/34.54 (step @p258 :rule cong :premises (@p257 @p256) :args (@t103)) % 34.17/34.54 (step @p259 :rule cong :premises (@p258) :args (@t104)) % 34.17/34.54 (step @p260 :rule trans :premises (@p259 @p254)) % 34.17/34.54 (step @p261 :rule eq_resolve :premises (@p51 @p260)) % 34.17/34.54 (step @p262 :rule instantiate :premises (@p261) :args ((@list @t172 @t221 @t220 @t156 @t219 @t218))) % 34.17/34.54 (step @p263 :rule aci_norm :args ((= (or @t167 @t135) (or @t7 @t152 @t151 @t135)))) % 34.17/34.54 (step @p264 :rule refl :args (@t135)) % 34.17/34.54 (step @p265 :rule nary_cong :premises (@p157 @p264) :args ((or @t169 @t135))) % 34.17/34.54 (step @p266 :rule trans :premises (@p265 @p263)) % 34.17/34.54 (step @p267 :rule bool-impl-elim :args (@t9 @t135)) % 34.17/34.54 (step @p268 :rule trans :premises (@p267 @p266)) % 34.17/34.54 (step @p269 :rule cong :premises (@p268) :args (@t136)) % 34.17/34.54 (step @p270 :rule eq_resolve :premises (@p87 @p269)) % 34.17/34.54 (step @p271 :rule instantiate :premises (@p270) :args (@t166)) % 34.17/34.54 (step @p272 :rule cnf_or_pos :args (@t224)) % 34.17/34.54 (step @p273 :rule reordering :premises (@p272) :args ((or @t177 @t176 @t174 @t223 (not @t224)))) % 34.17/34.54 (step @p274 :rule chain_m_resolution :premises (@p273 @p174 @p192 @p172 @p271) :args (@t223 @t186 (@list @t177 @t175 @t170 @t224))) % 34.17/34.54 (step @p275 :rule aci_norm :args ((= (or @t226 (or @t225 @t35)) (or @t226 @t225 @t35)))) % 34.17/34.54 (step @p276 :rule bool-impl-elim :args (@t36 @t35)) % 34.17/34.54 (step @p277 :rule refl :args (@t226)) % 34.17/34.54 (step @p278 :rule nary_cong :premises (@p277 @p276) :args ((or @t226 @t37))) % 34.17/34.54 (step @p279 :rule trans :premises (@p278 @p275)) % 34.17/34.54 (step @p280 :rule bool-impl-elim :args (@t38 @t37)) % 34.17/34.54 (step @p281 :rule trans :premises (@p280 @p279)) % 34.17/34.54 (step @p282 :rule cong :premises (@p281) :args (@t39)) % 34.17/34.54 (step @p283 :rule eq_resolve :premises (@p8 @p282)) % 34.17/34.54 (step @p284 :rule instantiate :premises (@p283) :args (@t227)) % 34.17/34.54 (step @p285 :rule aci_norm :args ((= (or (or @t76 @t205 @t204 @t203 @t202 @t201 @t200) @t80) (or @t76 @t205 @t204 @t203 @t202 @t201 @t200 @t80)))) % 34.17/34.54 (step @p286 :rule refl :args (@t80)) % 34.17/34.54 (step @p287 :rule nary_cong :premises (@p104 @p224 @p223 @p222 @p221 @p220 @p219) :args (@t228)) % 34.17/34.54 (step @p288 :rule aci_norm :args ((= (or @t149 @t216) @t228))) % 34.17/34.54 (step @p289 :rule trans :premises (@p288 @p287)) % 34.17/34.54 (step @p290 :rule nary_cong :premises (@p109 @p247) :args ((or @t149 @t217))) % 34.17/34.54 (step @p291 :rule bool-and-de-morgan :args (@t77 @t86 (and @t85 @t84 @t26 @t83 @t82))) % 34.17/34.54 (step @p292 :rule trans :premises (@p291 @p290)) % 34.17/34.54 (step @p293 :rule trans :premises (@p292 @p289)) % 34.17/34.54 (step @p294 :rule nary_cong :premises (@p293 @p286) :args ((or (not @t87) @t80))) % 34.17/34.54 (step @p295 :rule trans :premises (@p294 @p285)) % 34.17/34.54 (step @p296 :rule bool-impl-elim :args (@t87 @t80)) % 34.17/34.54 (step @p297 :rule trans :premises (@p296 @p295)) % 34.17/34.54 (step @p298 :rule cong :premises (@p297) :args (@t88)) % 34.17/34.54 (step @p299 :rule eq_resolve :premises (@p38 @p298)) % 34.17/34.54 (step @p300 :rule instantiate :premises (@p299) :args ((@list @t156 @t219 @t218))) % 34.17/34.54 (step @p301 :rule eq-symm :args (@t40 @t29)) % 34.17/34.54 (step @p302 :rule cong :premises (@p301) :args (@t41)) % 34.17/34.54 (step @p303 :rule eq_resolve :premises (@p13 @p302)) % 34.17/34.54 (step @p304 :rule eq-symm :args (@t230 @t231)) % 34.17/34.54 (step @p305 :rule refl :args (@t232)) % 34.17/34.54 (step @p306 :rule cong :premises (@p305 @p304) :args ((=> @t232 @t233))) % 34.17/34.54 (assume-push @p484 @t232) % 34.17/34.54 (step @p308 :rule instantiate :premises (@p303) :args ((@list @t229 @t156 @t218))) % 34.17/34.54 (step-pop @p485 :rule scope :premises (@p308)) % 34.17/34.54 (step @p309 :rule process_scope :premises (@p485) :args (@t233)) % 34.17/34.54 (step @p311 :rule eq_resolve :premises (@p309 @p306)) % 34.17/34.54 (step @p312 :rule implies_elim :premises (@p311)) % 34.17/34.54 (step @p313 :rule chain_m_resolution :premises (@p312 @p303) :args (@t234 @t235 @t236)) % 34.17/34.54 (step @p314 :rule aci_norm :args ((= (or @t167 @t111) (or @t7 @t152 @t151 @t111)))) % 34.17/34.54 (step @p315 :rule refl :args (@t111)) % 34.17/34.54 (step @p316 :rule nary_cong :premises (@p157 @p315) :args ((or @t169 @t111))) % 34.17/34.54 (step @p317 :rule trans :premises (@p316 @p314)) % 34.17/34.54 (step @p318 :rule bool-impl-elim :args (@t9 @t111)) % 34.17/34.54 (step @p319 :rule trans :premises (@p318 @p317)) % 34.17/34.54 (step @p320 :rule cong :premises (@p319) :args (@t112)) % 34.17/34.54 (step @p321 :rule eq_resolve :premises (@p57 @p320)) % 34.17/34.54 (step @p322 :rule instantiate :premises (@p321) :args (@t166)) % 34.17/34.54 (step @p323 :rule cnf_or_pos :args (@t240)) % 34.17/34.54 (step @p324 :rule reordering :premises (@p323) :args ((or @t177 @t176 @t174 @t239 (not @t240)))) % 34.17/34.54 (step @p325 :rule chain_m_resolution :premises (@p324 @p174 @p192 @p172 @p322) :args (@t239 @t186 (@list @t177 @t175 @t170 @t240))) % 34.17/34.54 (step @p326 :rule cnf_and_pos :args (@t239 2)) % 34.17/34.54 (step @p327 :rule reordering :premises (@p326) :args ((or @t231 @t241))) % 34.17/34.54 (step @p328 :rule chain_m_resolution :premises (@p327 @p325) :args (@t231 @t235 @t242)) % 34.17/34.54 (step @p329 :rule cnf_equiv_pos1 :args (@t234)) % 34.17/34.54 (step @p330 :rule reordering :premises (@p329) :args ((or (not @t231) @t230 (not @t234)))) % 34.17/34.54 (step @p331 :rule chain_m_resolution :premises (@p330 @p328 @p313) :args (@t230 @t194 (@list @t231 @t234))) % 34.17/34.54 (step @p332 :rule eq-symm :args (@t243 @t244)) % 34.17/34.54 (step @p333 :rule cong :premises (@p305 @p332) :args ((=> @t232 @t245))) % 34.17/34.54 (assume-push @p486 @t232) % 34.17/34.54 (step @p335 :rule instantiate :premises (@p303) :args ((@list @t229 @t156 @t219))) % 34.17/34.54 (step-pop @p487 :rule scope :premises (@p335)) % 34.17/34.54 (step @p336 :rule process_scope :premises (@p487) :args (@t245)) % 34.17/34.54 (step @p338 :rule eq_resolve :premises (@p336 @p333)) % 34.17/34.54 (step @p339 :rule implies_elim :premises (@p338)) % 34.17/34.54 (step @p340 :rule chain_m_resolution :premises (@p339 @p303) :args (@t246 @t235 @t236)) % 34.17/34.54 (step @p341 :rule aci_norm :args ((= (or @t167 @t108) (or @t7 @t152 @t151 @t108)))) % 34.17/34.54 (step @p342 :rule refl :args (@t108)) % 34.17/34.54 (step @p343 :rule nary_cong :premises (@p157 @p342) :args ((or @t169 @t108))) % 34.17/34.54 (step @p344 :rule trans :premises (@p343 @p341)) % 34.17/34.54 (step @p345 :rule bool-impl-elim :args (@t9 @t108)) % 34.17/34.54 (step @p346 :rule trans :premises (@p345 @p344)) % 34.17/34.54 (step @p347 :rule cong :premises (@p346) :args (@t109)) % 34.17/34.54 (step @p348 :rule eq_resolve :premises (@p56 @p347)) % 34.17/34.54 (step @p349 :rule instantiate :premises (@p348) :args (@t166)) % 34.17/34.54 (step @p350 :rule cnf_or_pos :args (@t250)) % 34.17/34.54 (step @p351 :rule reordering :premises (@p350) :args ((or @t177 @t176 @t174 @t249 (not @t250)))) % 34.17/34.54 (step @p352 :rule chain_m_resolution :premises (@p351 @p174 @p192 @p172 @p349) :args (@t249 @t186 (@list @t177 @t175 @t170 @t250))) % 34.17/34.54 (step @p353 :rule cnf_and_pos :args (@t249 2)) % 34.17/34.54 (step @p354 :rule reordering :premises (@p353) :args ((or @t244 @t251))) % 34.17/34.54 (step @p355 :rule chain_m_resolution :premises (@p354 @p352) :args (@t244 @t235 @t252)) % 34.17/34.54 (step @p356 :rule cnf_equiv_pos1 :args (@t246)) % 34.17/34.54 (step @p357 :rule reordering :premises (@p356) :args ((or (not @t244) @t243 (not @t246)))) % 34.17/34.54 (step @p358 :rule chain_m_resolution :premises (@p357 @p355 @p340) :args (@t243 @t194 (@list @t244 @t246))) % 34.17/34.54 (step @p359 :rule cnf_and_pos :args (@t239 1)) % 34.17/34.54 (step @p360 :rule reordering :premises (@p359) :args ((or @t237 @t241))) % 34.17/34.54 (step @p361 :rule chain_m_resolution :premises (@p360 @p325) :args (@t237 @t235 @t242)) % 34.17/34.54 (step @p362 :rule cnf_and_pos :args (@t239 0)) % 34.17/34.54 (step @p363 :rule reordering :premises (@p362) :args ((or @t238 @t241))) % 34.17/34.54 (step @p364 :rule chain_m_resolution :premises (@p363 @p325) :args (@t238 @t235 @t242)) % 34.17/34.54 (step @p365 :rule cnf_and_pos :args (@t249 1)) % 34.17/34.54 (step @p366 :rule reordering :premises (@p365) :args ((or @t247 @t251))) % 34.17/34.54 (step @p367 :rule chain_m_resolution :premises (@p366 @p352) :args (@t247 @t235 @t252)) % 34.17/34.54 (step @p368 :rule cnf_and_pos :args (@t249 0)) % 34.17/34.54 (step @p369 :rule reordering :premises (@p368) :args ((or @t248 @t251))) % 34.17/34.54 (step @p370 :rule chain_m_resolution :premises (@p369 @p352) :args (@t248 @t235 @t252)) % 34.17/34.54 (step @p371 :rule cnf_or_pos :args (@t261)) % 34.17/34.54 (step @p372 :rule reordering :premises (@p371) :args ((or @t183 @t260 @t259 @t257 @t256 @t258 @t255 @t254 (not @t261)))) % 34.17/34.54 (step @p373 :rule chain_m_resolution :premises (@p372 @p195 @p370 @p367 @p364 @p361 @p358 @p331 @p300) :args (@t254 (@list true false false false false false false false) (@list @t183 @t248 @t247 @t238 @t237 @t243 @t230 @t261))) % 34.17/34.54 (step @p374 :rule cnf_and_pos :args (@t254 1)) % 34.17/34.54 (step @p375 :rule reordering :premises (@p374) :args ((or @t253 (not @t254)))) % 34.17/34.54 (step @p376 :rule chain_m_resolution :premises (@p375 @p373) :args (@t253 @t235 (@list @t254))) % 34.17/34.54 (step @p377 :rule true_intro :premises (@p376)) % 34.17/34.54 (step @p378 :rule cong :premises (@p274) :args (@t262)) % 34.17/34.54 (step @p379 :rule trans :premises (@p378 @p377)) % 34.17/34.54 (step @p380 :rule true_elim :premises (@p379)) % 34.17/34.54 (step @p381 :rule aci_norm :args ((= (or @t167 @t126) (or @t7 @t152 @t151 @t126)))) % 34.17/34.54 (step @p382 :rule refl :args (@t126)) % 34.17/34.54 (step @p383 :rule nary_cong :premises (@p157 @p382) :args ((or @t169 @t126))) % 34.17/34.54 (step @p384 :rule trans :premises (@p383 @p381)) % 34.17/34.54 (step @p385 :rule bool-impl-elim :args (@t9 @t126)) % 34.17/34.54 (step @p386 :rule trans :premises (@p385 @p384)) % 34.17/34.54 (step @p387 :rule cong :premises (@p386) :args (@t127)) % 34.17/34.54 (step @p388 :rule eq_resolve :premises (@p80 @p387)) % 34.17/34.54 (step @p389 :rule instantiate :premises (@p388) :args (@t166)) % 34.17/34.54 (step @p390 :rule cnf_or_pos :args (@t265)) % 34.17/34.54 (step @p391 :rule reordering :premises (@p390) :args ((or @t177 @t176 @t174 @t264 (not @t265)))) % 34.17/34.54 (step @p392 :rule chain_m_resolution :premises (@p391 @p174 @p192 @p172 @p389) :args (@t264 @t186 (@list @t177 @t175 @t170 @t265))) % 34.17/34.54 (step @p393 :rule cnf_and_pos :args (@t264 2)) % 34.17/34.54 (step @p394 :rule reordering :premises (@p393) :args ((or @t263 (not @t264)))) % 34.17/34.54 (step @p395 :rule chain_m_resolution :premises (@p394 @p392) :args (@t263 @t235 (@list @t264))) % 34.17/34.54 (step @p396 :rule cnf_or_pos :args (@t270)) % 34.17/34.54 (step @p397 :rule reordering :premises (@p396) :args ((or @t269 @t268 @t267 (not @t270)))) % 34.17/34.54 (step @p398 :rule chain_m_resolution :premises (@p397 @p395 @p380 @p284) :args (@t267 (@list false false false) (@list @t263 @t262 @t270))) % 34.17/34.54 (step @p399 :rule symm :premises (@p398)) % 34.17/34.54 (step @p400 :rule trans :premises (@p399 @p274)) % 34.17/34.54 (step @p401 :rule eq-symm :args (@t272 @t273)) % 34.17/34.54 (step @p402 :rule cong :premises (@p305 @p401) :args ((=> @t232 @t274))) % 34.17/34.54 (assume-push @p488 @t232) % 34.17/34.54 (step @p404 :rule instantiate :premises (@p303) :args ((@list @t271 @t172 @t221))) % 34.17/34.54 (step-pop @p489 :rule scope :premises (@p404)) % 34.17/34.54 (step @p405 :rule process_scope :premises (@p489) :args (@t274)) % 34.17/34.54 (step @p407 :rule eq_resolve :premises (@p405 @p402)) % 34.17/34.54 (step @p408 :rule implies_elim :premises (@p407)) % 34.17/34.54 (step @p409 :rule chain_m_resolution :premises (@p408 @p303) :args (@t275 @t235 @t236)) % 34.17/34.54 (step @p410 :rule bool-impl-elim :args (@t21 @t20)) % 34.17/34.54 (step @p411 :rule cong :premises (@p410) :args (@t22)) % 34.17/34.54 (step @p412 :rule eq_resolve :premises (@p3 @p411)) % 34.17/34.54 (step @p413 :rule instantiate :premises (@p412) :args (@t227)) % 34.17/34.54 (step @p414 :rule bool-impl-elim :args (@t38 @t113)) % 34.17/34.54 (step @p415 :rule cong :premises (@p414) :args (@t114)) % 34.17/34.54 (step @p416 :rule eq_resolve :premises (@p58 @p415)) % 34.17/34.54 (step @p417 :rule instantiate :premises (@p416) :args (@t227)) % 34.17/34.54 (step @p418 :rule cnf_or_pos :args (@t279)) % 34.17/34.54 (step @p419 :rule reordering :premises (@p418) :args ((or @t269 @t278 (not @t279)))) % 34.17/34.54 (step @p420 :rule chain_m_resolution :premises (@p419 @p395 @p417) :args (@t278 @t194 (@list @t263 @t279))) % 34.17/34.54 (step @p421 :rule cnf_and_pos :args (@t278 1)) % 34.17/34.54 (step @p422 :rule reordering :premises (@p421) :args ((or @t276 @t280))) % 34.17/34.54 (step @p423 :rule chain_m_resolution :premises (@p422 @p420) :args (@t276 @t235 @t281)) % 34.17/34.54 (step @p424 :rule cnf_or_pos :args (@t286)) % 34.17/34.54 (step @p425 :rule reordering :premises (@p424) :args ((or @t285 @t284 (not @t286)))) % 34.17/34.54 (step @p426 :rule chain_m_resolution :premises (@p425 @p423 @p413) :args (@t284 @t194 (@list @t276 @t286))) % 34.17/34.54 (step @p427 :rule cnf_and_pos :args (@t284 2)) % 34.17/34.54 (step @p428 :rule reordering :premises (@p427) :args ((or @t273 @t287))) % 34.17/34.54 (step @p429 :rule chain_m_resolution :premises (@p428 @p426) :args (@t273 @t235 @t288)) % 34.17/34.54 (step @p430 :rule cnf_equiv_pos1 :args (@t275)) % 34.17/34.54 (step @p431 :rule reordering :premises (@p430) :args ((or (not @t273) @t272 (not @t275)))) % 34.17/34.54 (step @p432 :rule chain_m_resolution :premises (@p431 @p429 @p409) :args (@t272 @t194 (@list @t273 @t275))) % 34.17/34.54 (step @p433 :rule eq-symm :args (@t289 @t290)) % 34.17/34.54 (step @p434 :rule cong :premises (@p305 @p433) :args ((=> @t232 @t291))) % 34.17/34.54 (assume-push @p490 @t232) % 34.17/34.54 (step @p436 :rule instantiate :premises (@p303) :args ((@list @t271 @t172 @t220))) % 34.17/34.55 (step-pop @p491 :rule scope :premises (@p436)) % 34.17/34.55 (step @p437 :rule process_scope :premises (@p491) :args (@t291)) % 34.17/34.55 (step @p439 :rule eq_resolve :premises (@p437 @p434)) % 34.17/34.55 (step @p440 :rule implies_elim :premises (@p439)) % 34.17/34.55 (step @p441 :rule chain_m_resolution :premises (@p440 @p303) :args (@t292 @t235 @t236)) % 34.17/34.55 (step @p442 :rule bool-impl-elim :args (@t17 @t16)) % 34.17/34.55 (step @p443 :rule cong :premises (@p442) :args (@t18)) % 34.17/34.55 (step @p444 :rule eq_resolve :premises (@p2 @p443)) % 34.17/34.55 (step @p445 :rule instantiate :premises (@p444) :args (@t227)) % 34.17/34.55 (step @p446 :rule cnf_and_pos :args (@t278 0)) % 34.17/34.55 (step @p447 :rule reordering :premises (@p446) :args ((or @t277 @t280))) % 34.17/34.55 (step @p448 :rule chain_m_resolution :premises (@p447 @p420) :args (@t277 @t235 @t281)) % 34.17/34.55 (step @p449 :rule cnf_or_pos :args (@t297)) % 34.17/34.55 (step @p450 :rule reordering :premises (@p449) :args ((or @t296 @t295 (not @t297)))) % 34.17/34.55 (step @p451 :rule chain_m_resolution :premises (@p450 @p448 @p445) :args (@t295 @t194 (@list @t277 @t297))) % 34.17/34.55 (step @p452 :rule cnf_and_pos :args (@t295 2)) % 34.17/34.55 (step @p453 :rule reordering :premises (@p452) :args ((or @t290 @t298))) % 34.17/34.55 (step @p454 :rule chain_m_resolution :premises (@p453 @p451) :args (@t290 @t235 @t299)) % 34.17/34.55 (step @p455 :rule cnf_equiv_pos1 :args (@t292)) % 34.17/34.55 (step @p456 :rule reordering :premises (@p455) :args ((or (not @t290) @t289 (not @t292)))) % 34.17/34.55 (step @p457 :rule chain_m_resolution :premises (@p456 @p454 @p441) :args (@t289 @t194 (@list @t290 @t292))) % 34.17/34.55 (step @p458 :rule cnf_and_pos :args (@t284 1)) % 34.17/34.55 (step @p459 :rule reordering :premises (@p458) :args ((or @t282 @t287))) % 34.17/34.55 (step @p460 :rule chain_m_resolution :premises (@p459 @p426) :args (@t282 @t235 @t288)) % 34.17/34.55 (step @p461 :rule cnf_and_pos :args (@t284 0)) % 34.17/34.55 (step @p462 :rule reordering :premises (@p461) :args ((or @t283 @t287))) % 34.17/34.55 (step @p463 :rule chain_m_resolution :premises (@p462 @p426) :args (@t283 @t235 @t288)) % 34.17/34.55 (step @p464 :rule cnf_and_pos :args (@t295 1)) % 34.17/34.55 (step @p465 :rule reordering :premises (@p464) :args ((or @t293 @t298))) % 34.17/34.55 (step @p466 :rule chain_m_resolution :premises (@p465 @p451) :args (@t293 @t235 @t299)) % 34.17/34.55 (step @p467 :rule cnf_and_pos :args (@t295 0)) % 34.17/34.55 (step @p468 :rule reordering :premises (@p467) :args ((or @t294 @t298))) % 34.17/34.55 (step @p469 :rule chain_m_resolution :premises (@p468 @p451) :args (@t294 @t235 @t299)) % 34.17/34.55 (step @p470 :rule cnf_or_pos :args (@t310)) % 34.17/34.55 (step @p471 :rule reordering :premises (@p470) :args ((or @t306 @t305 @t309 @t308 @t304 @t307 @t303 @t301 (not @t310)))) % 34.17/34.55 (step @p472 :rule chain_m_resolution :premises (@p471 @p469 @p466 @p463 @p460 @p457 @p432 @p400 @p262) :args (@t301 (@list false false false false false false false false) (@list @t294 @t293 @t283 @t282 @t289 @t272 @t302 @t310))) % 34.17/34.55 (step @p473 :rule cnf_and_pos :args (@t301 0)) % 34.17/34.55 (step @p474 :rule reordering :premises (@p473) :args ((or @t300 (not @t301)))) % 34.17/34.55 (step @p475 :rule chain_m_resolution :premises (@p474 @p472) :args (@t300 @t235 (@list @t301))) % 34.17/34.55 (step @p476 :rule refl :args (@t155)) % 34.17/34.55 (step @p477 :rule cong :premises (@p476 @p475) :args (@t173)) % 34.17/34.55 (step @p478 :rule cnf_or_neg :args (@t178 3)) % 34.17/34.55 (step @p479 :rule chain_m_resolution :premises (@p478 @p165) :args ((not @t173) @t179 @t180)) % 34.17/34.55 (step @p480 :rule false_intro :premises (@p479)) % 34.17/34.55 (step @p481 :rule symm :premises (@p480)) % 34.17/34.55 (step @p482 :rule trans :premises (@p481 @p477 @p214)) % 34.17/34.55 (step @p483 false :rule eq_resolve :premises (@p482 @p89)) % 34.17/34.55 ) % 34.17/34.55 % SZS output end Proof % 34.17/34.55 % cvc5 exiting %------------------------------------------------------------------------------