%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT284+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 : n026.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 08:30:06 AM UTC 2026 % Result : Theorem 14.80s 15.07s % Output : Proof 14.80s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT284+1 : TPTP v9.2.1. Released v3.4.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n026.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Tue Jun 2 06:08:40 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 14.80/15.07 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 14.80/15.07 % SZS status Theorem % 14.80/15.07 % SZS output start Proof % 14.80/15.07 ( % 14.80/15.07 (declare-sort $$unsorted 0) % 14.80/15.07 (declare-const tptp.k5_lopclset (-> $$unsorted $$unsorted)) % 14.80/15.07 (declare-const tptp.k2_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 14.80/15.07 (declare-const tptp.k1_lopclset (-> $$unsorted $$unsorted)) % 14.80/15.07 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 14.80/15.07 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 14.80/15.07 (declare-const tptp.v6_lattices (-> $$unsorted Bool)) % 14.80/15.07 (declare-const tptp.u2_lattices (-> $$unsorted $$unsorted)) % 14.80/15.07 (declare-const tptp.k4_lopclset (-> $$unsorted $$unsorted)) % 14.80/15.07 (declare-const tptp.k4_tarski (-> $$unsorted $$unsorted $$unsorted)) % 14.80/15.07 (declare-const tptp.k1_binop_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 14.80/15.07 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 14.80/15.07 (declare-const tptp.l3_lattices (-> $$unsorted Bool)) % 14.80/15.07 (declare-const tptp.v3_lattices (-> $$unsorted Bool)) % 14.80/15.07 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 14.80/15.07 (declare-const tptp.v4_lattices (-> $$unsorted Bool)) % 14.80/15.07 (declare-const tptp.v1_finset_1 (-> $$unsorted Bool)) % 14.80/15.07 (declare-const tptp.l2_lattices (-> $$unsorted Bool)) % 14.80/15.07 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 14.80/15.07 (declare-const tptp.k6_lopclset (-> $$unsorted $$unsorted)) % 14.80/15.07 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 14.80/15.07 (declare-const tptp.l1_lattices (-> $$unsorted Bool)) % 14.80/15.07 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 14.80/15.07 (declare-const tptp.v4_pre_topc (-> $$unsorted $$unsorted Bool)) % 14.80/15.07 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 14.80/15.07 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 14.80/15.07 (declare-const tptp.k3_xboole_0 (-> $$unsorted $$unsorted $$unsorted)) % 14.80/15.07 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 14.80/15.07 (declare-const tptp.k1_tarski (-> $$unsorted $$unsorted)) % 14.80/15.07 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 14.80/15.07 (declare-const tptp.l1_pre_topc (-> $$unsorted Bool)) % 14.80/15.07 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 14.80/15.07 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 14.80/15.07 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 14.80/15.07 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 14.80/15.07 (declare-const tptp.v10_lattices (-> $$unsorted Bool)) % 14.80/15.07 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 14.80/15.07 (declare-const tptp.v2_pre_topc (-> $$unsorted Bool)) % 14.80/15.07 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 14.80/15.07 (declare-const tptp.k2_tarski (-> $$unsorted $$unsorted $$unsorted)) % 14.80/15.07 (declare-const tptp.v1_finsub_1 (-> $$unsorted Bool)) % 14.80/15.07 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 14.80/15.07 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 14.80/15.07 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 14.80/15.07 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 14.80/15.07 (declare-const tptp.m2_subset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 14.80/15.07 (declare-const tptp.k4_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 14.80/15.07 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 14.80/15.07 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 14.80/15.07 (declare-const tptp.v9_lattices (-> $$unsorted Bool)) % 14.80/15.07 (declare-const tptp.v8_lattices (-> $$unsorted Bool)) % 14.80/15.07 (declare-const tptp.v7_lattices (-> $$unsorted Bool)) % 14.80/15.07 (declare-const tptp.v5_lattices (-> $$unsorted Bool)) % 14.80/15.07 (declare-const tptp.v4_ordinal2 (-> $$unsorted Bool)) % 14.80/15.07 (declare-const tptp.k1_xboole_0 $$unsorted) % 14.80/15.07 (declare-const tptp.k3_lopclset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 14.80/15.07 (declare-const tptp.k1_funct_1 (-> $$unsorted $$unsorted $$unsorted)) % 14.80/15.07 (declare-const tptp.u1_lattices (-> $$unsorted $$unsorted)) % 14.80/15.07 (declare-const tptp.g3_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 14.80/15.07 (declare-const tptp.v4_finsub_1 (-> $$unsorted Bool)) % 14.80/15.07 (declare-const tptp.k2_binop_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 14.80/15.07 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 14.80/15.07 (declare-const tptp.v3_finsub_1 (-> $$unsorted Bool)) % 14.80/15.07 (declare-const tptp.v3_pre_topc (-> $$unsorted $$unsorted Bool)) % 14.80/15.07 (declare-const tptp.a_1_0_lopclset (-> $$unsorted $$unsorted)) % 14.80/15.07 (define @t1 () (@var "C" $$unsorted)) % 14.80/15.07 (define @t2 () (@var "B" $$unsorted)) % 14.80/15.07 (define @t3 () (tptp.k3_xboole_0 @t2 @t1)) % 14.80/15.07 (define @t4 () (@var "A" $$unsorted)) % 14.80/15.07 (define @t5 () (tptp.k6_lopclset @t4)) % 14.80/15.07 (define @t6 () (= (tptp.k4_lattices @t5 @t2 @t1) @t3)) % 14.80/15.07 (define @t7 () (tptp.u1_struct_0 @t5)) % 14.80/15.07 (define @t8 () (tptp.m1_subset_1 @t1 @t7)) % 14.80/15.07 (define @t9 () (@list @t1)) % 14.80/15.07 (define @t10 () (forall @t9 (=> @t8 @t6))) % 14.80/15.07 (define @t11 () (tptp.m1_subset_1 @t2 @t7)) % 14.80/15.07 (define @t12 () (=> @t11 @t10)) % 14.80/15.07 (define @t13 () (@list @t2)) % 14.80/15.07 (define @t14 () (forall @t13 @t12)) % 14.80/15.07 (define @t15 () (tptp.l1_pre_topc @t4)) % 14.80/15.07 (define @t16 () (tptp.v2_pre_topc @t4)) % 14.80/15.07 (define @t17 () (tptp.v3_struct_0 @t4)) % 14.80/15.07 (define @t18 () (not @t17)) % 14.80/15.07 (define @t19 () (and @t18 @t16 @t15)) % 14.80/15.07 (define @t20 () (=> @t19 @t14)) % 14.80/15.07 (define @t21 () (@list @t4)) % 14.80/15.07 (define @t22 () (forall @t21 @t20)) % 14.80/15.07 (define @t23 () (not @t22)) % 14.80/15.07 (define @t24 () (tptp.k2_tarski @t4 @t2)) % 14.80/15.07 (define @t25 () (@list @t4 @t2)) % 14.80/15.07 (define @t26 () (tptp.k1_tarski @t4)) % 14.80/15.07 (define @t27 () (tptp.v4_membered @t26)) % 14.80/15.07 (define @t28 () (tptp.v3_membered @t26)) % 14.80/15.07 (define @t29 () (tptp.v2_membered @t26)) % 14.80/15.07 (define @t30 () (tptp.v1_membered @t26)) % 14.80/15.07 (define @t31 () (tptp.v1_int_1 @t4)) % 14.80/15.07 (define @t32 () (tptp.v4_ordinal2 @t4)) % 14.80/15.07 (define @t33 () (tptp.v1_membered @t24)) % 14.80/15.07 (define @t34 () (tptp.v1_xcmplx_0 @t2)) % 14.80/15.07 (define @t35 () (tptp.v1_xcmplx_0 @t4)) % 14.80/15.07 (define @t36 () (tptp.v2_membered @t24)) % 14.80/15.07 (define @t37 () (tptp.v1_xreal_0 @t2)) % 14.80/15.07 (define @t38 () (tptp.v1_xreal_0 @t4)) % 14.80/15.07 (define @t39 () (tptp.v3_membered @t24)) % 14.80/15.07 (define @t40 () (tptp.v1_rat_1 @t2)) % 14.80/15.07 (define @t41 () (tptp.v1_rat_1 @t4)) % 14.80/15.07 (define @t42 () (tptp.v4_membered @t24)) % 14.80/15.07 (define @t43 () (tptp.v1_int_1 @t2)) % 14.80/15.07 (define @t44 () (tptp.v4_ordinal2 @t2)) % 14.80/15.07 (define @t45 () (tptp.r2_hidden @t4 @t2)) % 14.80/15.07 (define @t46 () (tptp.l2_lattices @t4)) % 14.80/15.07 (define @t47 () (tptp.l1_struct_0 @t4)) % 14.80/15.07 (define @t48 () (tptp.u1_struct_0 @t4)) % 14.80/15.07 (define @t49 () (tptp.k2_zfmisc_1 @t48 @t48)) % 14.80/15.07 (define @t50 () (tptp.u2_lattices @t4)) % 14.80/15.07 (define @t51 () (and (tptp.v1_funct_1 @t50) (tptp.v1_funct_2 @t50 @t49 @t48) (tptp.m2_relset_1 @t50 @t49 @t48))) % 14.80/15.07 (define @t52 () (forall @t21 (=> @t46 @t51))) % 14.80/15.07 (define @t53 () (tptp.m1_subset_1 @t2 @t4)) % 14.80/15.07 (define @t54 () (tptp.v1_membered @t4)) % 14.80/15.07 (define @t55 () (tptp.v2_membered @t4)) % 14.80/15.07 (define @t56 () (tptp.v3_membered @t4)) % 14.80/15.07 (define @t57 () (tptp.v4_membered @t4)) % 14.80/15.07 (define @t58 () (tptp.v5_membered @t4)) % 14.80/15.07 (define @t59 () (tptp.v1_membered @t2)) % 14.80/15.07 (define @t60 () (tptp.k1_zfmisc_1 @t4)) % 14.80/15.07 (define @t61 () (tptp.m1_subset_1 @t2 @t60)) % 14.80/15.07 (define @t62 () (tptp.v2_membered @t2)) % 14.80/15.07 (define @t63 () (tptp.v3_membered @t2)) % 14.80/15.07 (define @t64 () (tptp.v4_membered @t2)) % 14.80/15.07 (define @t65 () (tptp.v1_funct_2 @t1 @t4 @t2)) % 14.80/15.07 (define @t66 () (tptp.v1_funct_1 @t1)) % 14.80/15.07 (define @t67 () (and @t66 @t65)) % 14.80/15.07 (define @t68 () (tptp.v1_partfun1 @t1 @t4 @t2)) % 14.80/15.07 (define @t69 () (tptp.m1_relset_1 @t1 @t4 @t2)) % 14.80/15.07 (define @t70 () (@list @t4 @t2 @t1)) % 14.80/15.07 (define @t71 () (tptp.v1_finset_1 @t2)) % 14.80/15.07 (define @t72 () (tptp.v1_finset_1 @t4)) % 14.80/15.07 (define @t73 () (tptp.v10_lattices @t4)) % 14.80/15.07 (define @t74 () (and @t18 @t73)) % 14.80/15.07 (define @t75 () (tptp.v9_lattices @t4)) % 14.80/15.07 (define @t76 () (tptp.v8_lattices @t4)) % 14.80/15.07 (define @t77 () (tptp.v7_lattices @t4)) % 14.80/15.07 (define @t78 () (tptp.v6_lattices @t4)) % 14.80/15.07 (define @t79 () (tptp.v5_lattices @t4)) % 14.80/15.07 (define @t80 () (tptp.v4_lattices @t4)) % 14.80/15.07 (define @t81 () (and @t18 @t80 @t79 @t78 @t77 @t76 @t75)) % 14.80/15.07 (define @t82 () (tptp.l3_lattices @t4)) % 14.80/15.07 (define @t83 () (tptp.k3_xboole_0 @t4 @t2)) % 14.80/15.07 (define @t84 () (tptp.v1_finset_1 @t83)) % 14.80/15.07 (define @t85 () (tptp.k2_zfmisc_1 @t4 @t2)) % 14.80/15.07 (define @t86 () (tptp.v1_membered @t83)) % 14.80/15.07 (define @t87 () (tptp.k3_xboole_0 @t2 @t4)) % 14.80/15.07 (define @t88 () (tptp.v1_membered @t87)) % 14.80/15.07 (define @t89 () (tptp.v2_membered @t83)) % 14.80/15.07 (define @t90 () (tptp.v2_membered @t87)) % 14.80/15.07 (define @t91 () (tptp.v3_membered @t83)) % 14.80/15.07 (define @t92 () (tptp.v3_membered @t87)) % 14.80/15.07 (define @t93 () (tptp.v4_membered @t83)) % 14.80/15.07 (define @t94 () (tptp.v4_membered @t87)) % 14.80/15.07 (define @t95 () (tptp.v1_xboole_0 @t4)) % 14.80/15.07 (define @t96 () (not @t95)) % 14.80/15.07 (define @t97 () (tptp.v1_relat_1 @t1)) % 14.80/15.07 (define @t98 () (tptp.v1_xboole_0 @t2)) % 14.80/15.07 (define @t99 () (not @t98)) % 14.80/15.07 (define @t100 () (tptp.v4_pre_topc @t2 @t4)) % 14.80/15.07 (define @t101 () (tptp.k1_zfmisc_1 @t48)) % 14.80/15.07 (define @t102 () (tptp.m1_subset_1 @t2 @t101)) % 14.80/15.07 (define @t103 () (and @t16 @t15)) % 14.80/15.07 (define @t104 () (tptp.v3_lattices @t4)) % 14.80/15.07 (define @t105 () (tptp.m1_subset_1 @t4 @t2)) % 14.80/15.07 (define @t106 () (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t1))) % 14.80/15.07 (define @t107 () (tptp.v1_xboole_0 @t1)) % 14.80/15.07 (define @t108 () (tptp.u1_lattices @t4)) % 14.80/15.07 (define @t109 () (= @t4 (tptp.g3_lattices @t48 @t50 @t108))) % 14.80/15.07 (define @t110 () (=> @t104 @t109)) % 14.80/15.07 (define @t111 () (forall @t21 (=> @t82 @t110))) % 14.80/15.07 (define @t112 () (tptp.l1_lattices @t4)) % 14.80/15.07 (define @t113 () (tptp.m2_relset_1 @t1 @t4 @t2)) % 14.80/15.07 (define @t114 () (@var "F" $$unsorted)) % 14.80/15.07 (define @t115 () (@var "E" $$unsorted)) % 14.80/15.07 (define @t116 () (@var "D" $$unsorted)) % 14.80/15.07 (define @t117 () (tptp.k2_binop_1 @t4 @t2 @t1 @t116 @t115 @t114)) % 14.80/15.07 (define @t118 () (and @t96 @t99 (tptp.v1_funct_1 @t116) (tptp.v1_funct_2 @t116 @t85 @t1) (tptp.m1_relset_1 @t116 @t85 @t1) (tptp.m1_subset_1 @t115 @t4) (tptp.m1_subset_1 @t114 @t2))) % 14.80/15.07 (define @t119 () (@list @t4 @t2 @t1 @t116 @t115 @t114)) % 14.80/15.07 (define @t120 () (forall @t70 (= @t113 @t69))) % 14.80/15.07 (define @t121 () (and @t112 @t46)) % 14.80/15.07 (define @t122 () (forall @t21 (=> @t82 @t121))) % 14.80/15.07 (define @t123 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t85))) % 14.80/15.07 (define @t124 () (and (tptp.v1_funct_1 @t108) (tptp.v1_funct_2 @t108 @t49 @t48) (tptp.m2_relset_1 @t108 @t49 @t48))) % 14.80/15.07 (define @t125 () (forall @t21 (=> @t112 @t124))) % 14.80/15.07 (define @t126 () (and (tptp.v1_finsub_1 @t4) (tptp.v3_finsub_1 @t4))) % 14.80/15.07 (define @t127 () (tptp.v4_finsub_1 @t4)) % 14.80/15.07 (define @t128 () (=> @t74 @t81)) % 14.80/15.07 (define @t129 () (forall @t21 (=> @t82 @t128))) % 14.80/15.07 (define @t130 () (and @t18 @t47)) % 14.80/15.07 (define @t131 () (tptp.g3_lattices @t4 @t2 @t1)) % 14.80/15.07 (define @t132 () (tptp.v3_lattices @t131)) % 14.80/15.07 (define @t133 () (and (not (tptp.v3_struct_0 @t131)) @t132)) % 14.80/15.07 (define @t134 () (tptp.k2_zfmisc_1 @t4 @t4)) % 14.80/15.07 (define @t135 () (tptp.m1_relset_1 @t1 @t134 @t4)) % 14.80/15.07 (define @t136 () (tptp.v1_funct_2 @t1 @t134 @t4)) % 14.80/15.07 (define @t137 () (tptp.m1_relset_1 @t2 @t134 @t4)) % 14.80/15.07 (define @t138 () (tptp.v1_funct_2 @t2 @t134 @t4)) % 14.80/15.07 (define @t139 () (tptp.v1_funct_1 @t2)) % 14.80/15.07 (define @t140 () (and @t96 @t139 @t138 @t137 @t66 @t136 @t135)) % 14.80/15.07 (define @t141 () (forall @t70 (=> @t140 @t133))) % 14.80/15.07 (define @t142 () (= @t4 @t2)) % 14.80/15.07 (define @t143 () (and (= @t4 @t116) (= @t2 @t115) (= @t1 @t114))) % 14.80/15.07 (define @t144 () (= @t131 (tptp.g3_lattices @t116 @t115 @t114))) % 14.80/15.07 (define @t145 () (@list @t116 @t115 @t114)) % 14.80/15.07 (define @t146 () (forall @t145 (=> @t144 @t143))) % 14.80/15.07 (define @t147 () (and @t139 @t138 @t137 @t66 @t136 @t135)) % 14.80/15.07 (define @t148 () (=> @t147 @t146)) % 14.80/15.07 (define @t149 () (forall @t70 @t148)) % 14.80/15.07 (define @t150 () (tptp.k3_lopclset @t4 @t2 @t1)) % 14.80/15.07 (define @t151 () (tptp.k1_lopclset @t4)) % 14.80/15.07 (define @t152 () (tptp.m1_subset_1 @t1 @t151)) % 14.80/15.07 (define @t153 () (tptp.m1_subset_1 @t2 @t151)) % 14.80/15.07 (define @t154 () (and @t18 @t16 @t15 @t153 @t152)) % 14.80/15.07 (define @t155 () (tptp.k4_lattices @t4 @t2 @t1)) % 14.80/15.07 (define @t156 () (tptp.m1_subset_1 @t1 @t48)) % 14.80/15.07 (define @t157 () (tptp.m1_subset_1 @t2 @t48)) % 14.80/15.07 (define @t158 () (and @t18 @t78 @t112 @t157 @t156)) % 14.80/15.07 (define @t159 () (tptp.m2_subset_1 @t1 @t4 @t2)) % 14.80/15.07 (define @t160 () (and @t96 @t99 @t61)) % 14.80/15.07 (define @t161 () (=> @t154 (= @t150 @t3))) % 14.80/15.07 (define @t162 () (forall @t70 @t161)) % 14.80/15.07 (define @t163 () (tptp.k2_lattices @t4 @t2 @t1)) % 14.80/15.07 (define @t164 () (= @t155 @t163)) % 14.80/15.07 (define @t165 () (forall @t70 (=> @t158 @t164))) % 14.80/15.07 (define @t166 () (forall @t9 (= @t159 (tptp.m1_subset_1 @t1 @t2)))) % 14.80/15.07 (define @t167 () (forall @t25 (=> @t160 @t166))) % 14.80/15.07 (define @t168 () (tptp.m1_subset_1 @t151 (tptp.k1_zfmisc_1 @t101))) % 14.80/15.07 (define @t169 () (and @t18 @t15)) % 14.80/15.07 (define @t170 () (forall @t21 (=> @t169 @t168))) % 14.80/15.07 (define @t171 () (tptp.k2_zfmisc_1 @t151 @t151)) % 14.80/15.07 (define @t172 () (tptp.k4_lopclset @t4)) % 14.80/15.07 (define @t173 () (and (tptp.v1_funct_1 @t172) (tptp.v1_funct_2 @t172 @t171 @t151) (tptp.m2_relset_1 @t172 @t171 @t151))) % 14.80/15.07 (define @t174 () (forall @t21 (=> @t19 @t173))) % 14.80/15.07 (define @t175 () (tptp.k5_lopclset @t4)) % 14.80/15.07 (define @t176 () (and (tptp.v1_funct_1 @t175) (tptp.v1_funct_2 @t175 @t171 @t151) (tptp.m2_relset_1 @t175 @t171 @t151))) % 14.80/15.07 (define @t177 () (forall @t21 (=> @t19 @t176))) % 14.80/15.07 (define @t178 () (and (not (tptp.v3_struct_0 @t5)) (tptp.v10_lattices @t5) (tptp.l3_lattices @t5))) % 14.80/15.07 (define @t179 () (forall @t21 (=> @t19 @t178))) % 14.80/15.07 (define @t180 () (tptp.v4_finsub_1 @t60)) % 14.80/15.07 (define @t181 () (tptp.v3_finsub_1 @t60)) % 14.80/15.07 (define @t182 () (tptp.v1_finsub_1 @t60)) % 14.80/15.07 (define @t183 () (not (tptp.v1_xboole_0 @t60))) % 14.80/15.07 (define @t184 () (forall @t21 (and @t183 @t182 @t181 @t180))) % 14.80/15.07 (define @t185 () (not (tptp.v1_xboole_0 @t151))) % 14.80/15.07 (define @t186 () (forall @t21 (=> @t19 @t185))) % 14.80/15.07 (define @t187 () (tptp.g3_lattices @t151 @t172 @t175)) % 14.80/15.07 (define @t188 () (= @t5 @t187)) % 14.80/15.07 (define @t189 () (forall @t21 (=> @t19 @t188))) % 14.80/15.07 (define @t190 () (tptp.k2_lattices @t187 @t2 @t1)) % 14.80/15.07 (define @t191 () (= @t190 (tptp.k3_lopclset @t4 @t116 @t115))) % 14.80/15.07 (define @t192 () (= @t1 @t115)) % 14.80/15.07 (define @t193 () (= @t2 @t116)) % 14.80/15.07 (define @t194 () (and @t193 @t192)) % 14.80/15.07 (define @t195 () (=> @t194 @t191)) % 14.80/15.07 (define @t196 () (tptp.m2_subset_1 @t115 @t101 @t151)) % 14.80/15.07 (define @t197 () (@list @t115)) % 14.80/15.07 (define @t198 () (forall @t197 (=> @t196 @t195))) % 14.80/15.07 (define @t199 () (tptp.m2_subset_1 @t116 @t101 @t151)) % 14.80/15.07 (define @t200 () (=> @t199 @t198)) % 14.80/15.07 (define @t201 () (@list @t116)) % 14.80/15.07 (define @t202 () (forall @t201 @t200)) % 14.80/15.07 (define @t203 () (tptp.u1_struct_0 @t187)) % 14.80/15.07 (define @t204 () (tptp.m1_subset_1 @t1 @t203)) % 14.80/15.07 (define @t205 () (=> @t204 @t202)) % 14.80/15.07 (define @t206 () (forall @t9 @t205)) % 14.80/15.07 (define @t207 () (tptp.m1_subset_1 @t2 @t203)) % 14.80/15.07 (define @t208 () (=> @t207 @t206)) % 14.80/15.07 (define @t209 () (forall @t13 @t208)) % 14.80/15.07 (define @t210 () (=> @t19 @t209)) % 14.80/15.07 (define @t211 () (forall @t21 @t210)) % 14.80/15.07 (define @t212 () (@var "BOUND_VARIABLE_8158" $$unsorted)) % 14.80/15.07 (define @t213 () (@var "BOUND_VARIABLE_8156" $$unsorted)) % 14.80/15.07 (define @t214 () (= (tptp.k4_lattices @t5 @t213 @t212) (tptp.k3_xboole_0 @t213 @t212))) % 14.80/15.07 (define @t215 () (not (tptp.m1_subset_1 @t212 @t7))) % 14.80/15.07 (define @t216 () (not (tptp.m1_subset_1 @t213 @t7))) % 14.80/15.07 (define @t217 () (not @t15)) % 14.80/15.07 (define @t218 () (not @t16)) % 14.80/15.07 (define @t219 () (or @t17 @t218 @t217 @t216 @t215 @t214)) % 14.80/15.07 (define @t220 () (or @t216 @t215 @t214)) % 14.80/15.07 (define @t221 () (or @t17 @t218 @t217 @t220)) % 14.80/15.07 (define @t222 () (@list @t4 @t213 @t212)) % 14.80/15.07 (define @t223 () (forall @t222 @t221)) % 14.80/15.07 (define @t224 () (@list @t213 @t212)) % 14.80/15.07 (define @t225 () (forall @t224 @t221)) % 14.80/15.07 (define @t226 () (forall @t224 @t220)) % 14.80/15.07 (define @t227 () (@var "BOUND_VARIABLE_8135" $$unsorted)) % 14.80/15.07 (define @t228 () (or @t17 @t218 @t217 @t226)) % 14.80/15.07 (define @t229 () (= (tptp.k4_lattices @t5 @t2 @t227) (tptp.k3_xboole_0 @t2 @t227))) % 14.80/15.07 (define @t230 () (not (tptp.m1_subset_1 @t227 @t7))) % 14.80/15.07 (define @t231 () (not @t11)) % 14.80/15.07 (define @t232 () (or @t231 @t230 @t229)) % 14.80/15.07 (define @t233 () (@list @t2 @t227)) % 14.80/15.07 (define @t234 () (forall @t233 @t232)) % 14.80/15.07 (define @t235 () (or @t17 @t218 @t217 @t234)) % 14.80/15.07 (define @t236 () (or @t17 @t218 @t217)) % 14.80/15.07 (define @t237 () (not @t18)) % 14.80/15.07 (define @t238 () (or @t237 @t218 @t217)) % 14.80/15.07 (define @t239 () (not @t19)) % 14.80/15.07 (define @t240 () (or @t230 @t229)) % 14.80/15.07 (define @t241 () (or @t231 @t240)) % 14.80/15.07 (define @t242 () (forall @t233 @t241)) % 14.80/15.07 (define @t243 () (@list @t227)) % 14.80/15.07 (define @t244 () (forall @t243 @t241)) % 14.80/15.07 (define @t245 () (forall @t243 @t240)) % 14.80/15.07 (define @t246 () (@list @t1)) % 14.80/15.07 (define @t247 () (or @t231 @t245)) % 14.80/15.07 (define @t248 () (forall @t9 (or (not @t8) @t6))) % 14.80/15.07 (define @t249 () (forall @t222 @t219)) % 14.80/15.07 (define @t250 () (@quantifiers_skolemize @t249 2)) % 14.80/15.07 (define @t251 () (@quantifiers_skolemize @t249 1)) % 14.80/15.07 (define @t252 () (tptp.k3_xboole_0 @t251 @t250)) % 14.80/15.07 (define @t253 () (@quantifiers_skolemize @t249 0)) % 14.80/15.07 (define @t254 () (tptp.k6_lopclset @t253)) % 14.80/15.07 (define @t255 () (tptp.k4_lattices @t254 @t251 @t250)) % 14.80/15.07 (define @t256 () (= @t255 @t252)) % 14.80/15.07 (define @t257 () (tptp.u1_struct_0 @t254)) % 14.80/15.07 (define @t258 () (tptp.m1_subset_1 @t250 @t257)) % 14.80/15.07 (define @t259 () (not @t258)) % 14.80/15.07 (define @t260 () (tptp.m1_subset_1 @t251 @t257)) % 14.80/15.07 (define @t261 () (not @t260)) % 14.80/15.07 (define @t262 () (tptp.l1_pre_topc @t253)) % 14.80/15.07 (define @t263 () (not @t262)) % 14.80/15.07 (define @t264 () (tptp.v2_pre_topc @t253)) % 14.80/15.07 (define @t265 () (not @t264)) % 14.80/15.07 (define @t266 () (tptp.v3_struct_0 @t253)) % 14.80/15.07 (define @t267 () (or @t266 @t265 @t263 @t261 @t259 @t256)) % 14.80/15.07 (define @t268 () (@list true)) % 14.80/15.07 (define @t269 () (@list @t267)) % 14.80/15.07 (define @t270 () (@list @t253)) % 14.80/15.07 (define @t271 () (tptp.k5_lopclset @t253)) % 14.80/15.07 (define @t272 () (tptp.k4_lopclset @t253)) % 14.80/15.07 (define @t273 () (tptp.k1_lopclset @t253)) % 14.80/15.07 (define @t274 () (tptp.g3_lattices @t273 @t272 @t271)) % 14.80/15.07 (define @t275 () (= @t254 @t274)) % 14.80/15.07 (define @t276 () (or @t266 @t265 @t263 @t275)) % 14.80/15.07 (define @t277 () (@list true false false false)) % 14.80/15.07 (define @t278 () (not @t156)) % 14.80/15.07 (define @t279 () (not @t157)) % 14.80/15.07 (define @t280 () (not @t112)) % 14.80/15.07 (define @t281 () (not @t78)) % 14.80/15.07 (define @t282 () (or @t237 @t281 @t280 @t279 @t278)) % 14.80/15.07 (define @t283 () (not @t73)) % 14.80/15.07 (define @t284 () (not @t82)) % 14.80/15.07 (define @t285 () (or @t17 @t283 @t81)) % 14.80/15.07 (define @t286 () (@list @t254)) % 14.80/15.07 (define @t287 () (tptp.l3_lattices @t254)) % 14.80/15.07 (define @t288 () (tptp.v10_lattices @t254)) % 14.80/15.07 (define @t289 () (tptp.v3_struct_0 @t254)) % 14.80/15.07 (define @t290 () (not @t289)) % 14.80/15.07 (define @t291 () (and @t290 @t288 @t287)) % 14.80/15.07 (define @t292 () (or @t266 @t265 @t263 @t291)) % 14.80/15.07 (define @t293 () (not @t291)) % 14.80/15.07 (define @t294 () (@list false)) % 14.80/15.07 (define @t295 () (@list @t291)) % 14.80/15.07 (define @t296 () (tptp.v6_lattices @t254)) % 14.80/15.07 (define @t297 () (and @t290 (tptp.v4_lattices @t254) (tptp.v5_lattices @t254) @t296 (tptp.v7_lattices @t254) (tptp.v8_lattices @t254) (tptp.v9_lattices @t254))) % 14.80/15.07 (define @t298 () (not @t288)) % 14.80/15.07 (define @t299 () (not @t287)) % 14.80/15.07 (define @t300 () (or @t299 @t289 @t298 @t297)) % 14.80/15.07 (define @t301 () (tptp.l2_lattices @t254)) % 14.80/15.07 (define @t302 () (tptp.l1_lattices @t254)) % 14.80/15.07 (define @t303 () (and @t302 @t301)) % 14.80/15.07 (define @t304 () (or @t299 @t303)) % 14.80/15.07 (define @t305 () (@list false false)) % 14.80/15.07 (define @t306 () (not @t303)) % 14.80/15.07 (define @t307 () (@list @t303)) % 14.80/15.07 (define @t308 () (tptp.k2_lattices @t254 @t251 @t250)) % 14.80/15.07 (define @t309 () (= @t255 @t308)) % 14.80/15.07 (define @t310 () (not @t302)) % 14.80/15.07 (define @t311 () (not @t296)) % 14.80/15.07 (define @t312 () (or @t289 @t311 @t310 @t261 @t259 @t309)) % 14.80/15.07 (define @t313 () (= @t3 @t150)) % 14.80/15.07 (define @t314 () (not @t152)) % 14.80/15.07 (define @t315 () (not @t153)) % 14.80/15.07 (define @t316 () (or @t237 @t218 @t217 @t315 @t314)) % 14.80/15.07 (define @t317 () (@list @t253 @t251 @t250)) % 14.80/15.07 (define @t318 () (tptp.u1_struct_0 @t274)) % 14.80/15.07 (define @t319 () (tptp.m1_subset_1 @t250 @t318)) % 14.80/15.07 (define @t320 () (@var "BOUND_VARIABLE_8938" $$unsorted)) % 14.80/15.07 (define @t321 () (@var "BOUND_VARIABLE_8936" $$unsorted)) % 14.80/15.07 (define @t322 () (@var "BOUND_VARIABLE_8934" $$unsorted)) % 14.80/15.07 (define @t323 () (and (= @t4 @t322) (= @t2 @t321) (= @t1 @t320))) % 14.80/15.07 (define @t324 () (not (= @t131 (tptp.g3_lattices @t322 @t321 @t320)))) % 14.80/15.07 (define @t325 () (not @t135)) % 14.80/15.07 (define @t326 () (not @t136)) % 14.80/15.07 (define @t327 () (not @t66)) % 14.80/15.07 (define @t328 () (not @t137)) % 14.80/15.07 (define @t329 () (not @t138)) % 14.80/15.07 (define @t330 () (not @t139)) % 14.80/15.07 (define @t331 () (or @t324 @t323)) % 14.80/15.07 (define @t332 () (or @t330 @t329 @t328 @t327 @t326 @t325 @t331)) % 14.80/15.07 (define @t333 () (forall (@list @t4 @t2 @t1 @t322 @t321 @t320) @t332)) % 14.80/15.07 (define @t334 () (@list @t322 @t321 @t320)) % 14.80/15.07 (define @t335 () (forall @t334 @t332)) % 14.80/15.07 (define @t336 () (forall @t334 @t331)) % 14.80/15.07 (define @t337 () (or @t330 @t329 @t328 @t327 @t326 @t325 @t336)) % 14.80/15.07 (define @t338 () (forall @t145 (or (not @t144) @t143))) % 14.80/15.07 (define @t339 () (or @t330 @t329 @t328 @t327 @t326 @t325 @t338)) % 14.80/15.07 (define @t340 () (or @t330 @t329 @t328 @t327 @t326 @t325)) % 14.80/15.07 (define @t341 () (or @t330 (or @t329 (or @t328 (or @t327 (or @t326 @t325)))))) % 14.80/15.07 (define @t342 () (not @t147)) % 14.80/15.07 (define @t343 () (tptp.u1_lattices @t254)) % 14.80/15.07 (define @t344 () (tptp.u2_lattices @t254)) % 14.80/15.07 (define @t345 () (not @t104)) % 14.80/15.07 (define @t346 () (not @t96)) % 14.80/15.07 (define @t347 () (or @t346 @t330 @t329 @t328 @t327 @t326 @t325)) % 14.80/15.07 (define @t348 () (tptp.k2_zfmisc_1 @t273 @t273)) % 14.80/15.07 (define @t349 () (tptp.m1_relset_1 @t271 @t348 @t273)) % 14.80/15.07 (define @t350 () (tptp.m2_relset_1 @t271 @t348 @t273)) % 14.80/15.07 (define @t351 () (forall @t70 (= @t69 @t113))) % 14.80/15.07 (define @t352 () (= @t349 @t350)) % 14.80/15.07 (define @t353 () (= @t350 @t349)) % 14.80/15.07 (define @t354 () (@list @t351)) % 14.80/15.07 (define @t355 () (tptp.v1_funct_2 @t271 @t348 @t273)) % 14.80/15.07 (define @t356 () (tptp.v1_funct_1 @t271)) % 14.80/15.07 (define @t357 () (and @t356 @t355 @t350)) % 14.80/15.07 (define @t358 () (or @t266 @t265 @t263 @t357)) % 14.80/15.07 (define @t359 () (not @t357)) % 14.80/15.07 (define @t360 () (@list @t357)) % 14.80/15.07 (define @t361 () (tptp.m1_relset_1 @t272 @t348 @t273)) % 14.80/15.07 (define @t362 () (tptp.m2_relset_1 @t272 @t348 @t273)) % 14.80/15.07 (define @t363 () (= @t361 @t362)) % 14.80/15.07 (define @t364 () (= @t362 @t361)) % 14.80/15.07 (define @t365 () (tptp.v1_funct_2 @t272 @t348 @t273)) % 14.80/15.07 (define @t366 () (tptp.v1_funct_1 @t272)) % 14.80/15.07 (define @t367 () (and @t366 @t365 @t362)) % 14.80/15.07 (define @t368 () (or @t266 @t265 @t263 @t367)) % 14.80/15.07 (define @t369 () (not @t367)) % 14.80/15.07 (define @t370 () (@list @t367)) % 14.80/15.07 (define @t371 () (tptp.v1_xboole_0 @t273)) % 14.80/15.07 (define @t372 () (not @t371)) % 14.80/15.07 (define @t373 () (or @t266 @t265 @t263 @t372)) % 14.80/15.07 (define @t374 () (tptp.v3_lattices @t274)) % 14.80/15.07 (define @t375 () (and (not (tptp.v3_struct_0 @t274)) @t374)) % 14.80/15.07 (define @t376 () (not @t349)) % 14.80/15.07 (define @t377 () (not @t355)) % 14.80/15.07 (define @t378 () (not @t356)) % 14.80/15.07 (define @t379 () (not @t361)) % 14.80/15.07 (define @t380 () (not @t365)) % 14.80/15.07 (define @t381 () (not @t366)) % 14.80/15.07 (define @t382 () (or @t371 @t381 @t380 @t379 @t378 @t377 @t376 @t375)) % 14.80/15.07 (define @t383 () (@list true false false false false false false false)) % 14.80/15.07 (define @t384 () (tptp.v3_lattices @t254)) % 14.80/15.07 (define @t385 () (tptp.g3_lattices @t257 @t344 @t343)) % 14.80/15.07 (define @t386 () (= @t254 @t385)) % 14.80/15.07 (define @t387 () (not @t384)) % 14.80/15.07 (define @t388 () (or @t299 @t387 @t386)) % 14.80/15.07 (define @t389 () (tptp.k2_zfmisc_1 @t257 @t257)) % 14.80/15.07 (define @t390 () (tptp.m1_relset_1 @t343 @t389 @t257)) % 14.80/15.07 (define @t391 () (tptp.m2_relset_1 @t343 @t389 @t257)) % 14.80/15.07 (define @t392 () (= @t390 @t391)) % 14.80/15.07 (define @t393 () (= @t391 @t390)) % 14.80/15.07 (define @t394 () (tptp.v1_funct_2 @t343 @t389 @t257)) % 14.80/15.07 (define @t395 () (tptp.v1_funct_1 @t343)) % 14.80/15.07 (define @t396 () (and @t395 @t394 @t391)) % 14.80/15.07 (define @t397 () (or @t310 @t396)) % 14.80/15.07 (define @t398 () (not @t396)) % 14.80/15.07 (define @t399 () (@list @t396)) % 14.80/15.07 (define @t400 () (tptp.m1_relset_1 @t344 @t389 @t257)) % 14.80/15.07 (define @t401 () (tptp.m2_relset_1 @t344 @t389 @t257)) % 14.80/15.07 (define @t402 () (= @t400 @t401)) % 14.80/15.07 (define @t403 () (= @t401 @t400)) % 14.80/15.07 (define @t404 () (tptp.v1_funct_2 @t344 @t389 @t257)) % 14.80/15.07 (define @t405 () (tptp.v1_funct_1 @t344)) % 14.80/15.07 (define @t406 () (and @t405 @t404 @t401)) % 14.80/15.07 (define @t407 () (not @t301)) % 14.80/15.07 (define @t408 () (or @t407 @t406)) % 14.80/15.07 (define @t409 () (not @t406)) % 14.80/15.07 (define @t410 () (@list @t406)) % 14.80/15.07 (define @t411 () (= @t257 @t273)) % 14.80/15.07 (define @t412 () (and @t411 (= @t344 @t272) (= @t343 @t271))) % 14.80/15.07 (define @t413 () (= @t385 @t274)) % 14.80/15.07 (define @t414 () (not @t413)) % 14.80/15.07 (define @t415 () (not @t390)) % 14.80/15.07 (define @t416 () (not @t394)) % 14.80/15.07 (define @t417 () (not @t395)) % 14.80/15.07 (define @t418 () (not @t400)) % 14.80/15.07 (define @t419 () (not @t404)) % 14.80/15.07 (define @t420 () (not @t405)) % 14.80/15.07 (define @t421 () (or @t420 @t419 @t418 @t417 @t416 @t415 @t414 @t412)) % 14.80/15.07 (define @t422 () (tptp.m1_subset_1 @t250 @t273)) % 14.80/15.07 (define @t423 () (tptp.m1_subset_1 @t251 @t318)) % 14.80/15.07 (define @t424 () (tptp.m1_subset_1 @t251 @t273)) % 14.80/15.07 (define @t425 () (tptp.k3_lopclset @t253 @t251 @t250)) % 14.80/15.07 (define @t426 () (= @t252 @t425)) % 14.80/15.07 (define @t427 () (not @t422)) % 14.80/15.07 (define @t428 () (not @t424)) % 14.80/15.07 (define @t429 () (or @t266 @t265 @t263 @t428 @t427 @t426)) % 14.80/15.07 (define @t430 () (@var "BOUND_VARIABLE_9218" $$unsorted)) % 14.80/15.07 (define @t431 () (@var "BOUND_VARIABLE_9216" $$unsorted)) % 14.80/15.07 (define @t432 () (= (tptp.k3_lopclset @t4 @t431 @t430) (tptp.k2_lattices @t187 @t431 @t430))) % 14.80/15.07 (define @t433 () (not (tptp.m2_subset_1 @t430 @t101 @t151))) % 14.80/15.07 (define @t434 () (not (tptp.m1_subset_1 @t430 @t203))) % 14.80/15.07 (define @t435 () (not (tptp.m2_subset_1 @t431 @t101 @t151))) % 14.80/15.07 (define @t436 () (not (tptp.m1_subset_1 @t431 @t203))) % 14.80/15.07 (define @t437 () (or @t436 @t435 @t434 @t433 @t432)) % 14.80/15.07 (define @t438 () (or @t17 @t218 @t217 @t437)) % 14.80/15.07 (define @t439 () (forall (@list @t4 @t431 @t430) @t438)) % 14.80/15.07 (define @t440 () (@list @t431 @t430)) % 14.80/15.07 (define @t441 () (forall @t440 @t438)) % 14.80/15.07 (define @t442 () (forall @t440 @t437)) % 14.80/15.07 (define @t443 () (@var "BOUND_VARIABLE_9197" $$unsorted)) % 14.80/15.07 (define @t444 () (or @t17 @t218 @t217 @t442)) % 14.80/15.07 (define @t445 () (= (tptp.k3_lopclset @t4 @t2 @t443) (tptp.k2_lattices @t187 @t2 @t443))) % 14.80/15.07 (define @t446 () (not (tptp.m2_subset_1 @t443 @t101 @t151))) % 14.80/15.07 (define @t447 () (not (tptp.m1_subset_1 @t443 @t203))) % 14.80/15.07 (define @t448 () (not (tptp.m2_subset_1 @t2 @t101 @t151))) % 14.80/15.07 (define @t449 () (not @t207)) % 14.80/15.07 (define @t450 () (or @t449 @t448 @t447 @t446 @t445)) % 14.80/15.07 (define @t451 () (@list @t2 @t443)) % 14.80/15.07 (define @t452 () (forall @t451 @t450)) % 14.80/15.07 (define @t453 () (or @t17 @t218 @t217 @t452)) % 14.80/15.07 (define @t454 () (or @t447 @t446 @t445)) % 14.80/15.07 (define @t455 () (or @t449 @t448 @t454)) % 14.80/15.07 (define @t456 () (forall @t451 @t455)) % 14.80/15.07 (define @t457 () (@list @t443)) % 14.80/15.07 (define @t458 () (forall @t457 @t455)) % 14.80/15.07 (define @t459 () (forall @t457 @t454)) % 14.80/15.07 (define @t460 () (or @t449 @t448 @t459)) % 14.80/15.07 (define @t461 () (= @t150 @t190)) % 14.80/15.07 (define @t462 () (not (tptp.m2_subset_1 @t1 @t101 @t151))) % 14.80/15.07 (define @t463 () (not @t204)) % 14.80/15.07 (define @t464 () (or @t463 @t462 @t461)) % 14.80/15.07 (define @t465 () (forall @t9 @t464)) % 14.80/15.07 (define @t466 () (or @t449 @t448 @t465)) % 14.80/15.07 (define @t467 () (or @t448 @t465)) % 14.80/15.07 (define @t468 () (or @t448 @t464)) % 14.80/15.07 (define @t469 () (or @t463 @t462 @t448 @t461)) % 14.80/15.07 (define @t470 () (or @t462 @t448 @t461)) % 14.80/15.07 (define @t471 () (or @t448 @t461)) % 14.80/15.07 (define @t472 () (not (= @t2 @t2))) % 14.80/15.07 (define @t473 () (or @t448 @t472 (= @t190 @t150))) % 14.80/15.07 (define @t474 () (= @t190 (tptp.k3_lopclset @t4 @t116 @t1))) % 14.80/15.07 (define @t475 () (not @t193)) % 14.80/15.07 (define @t476 () (not @t199)) % 14.80/15.07 (define @t477 () (or @t475 @t476 @t475 @t474)) % 14.80/15.07 (define @t478 () (or @t476 @t475 @t474)) % 14.80/15.07 (define @t479 () (forall @t201 @t478)) % 14.80/15.07 (define @t480 () (or @t462 @t479)) % 14.80/15.07 (define @t481 () (or @t462 @t478)) % 14.80/15.07 (define @t482 () (or @t476 @t475 @t462 @t474)) % 14.80/15.07 (define @t483 () (or @t475 @t462 @t474)) % 14.80/15.07 (define @t484 () (or @t462 @t474)) % 14.80/15.07 (define @t485 () (not (= @t1 @t1))) % 14.80/15.07 (define @t486 () (or @t462 @t485 @t474)) % 14.80/15.07 (define @t487 () (not @t192)) % 14.80/15.07 (define @t488 () (not @t196)) % 14.80/15.07 (define @t489 () (or @t487 @t488 @t487 @t191)) % 14.80/15.07 (define @t490 () (or @t488 @t487 @t191)) % 14.80/15.07 (define @t491 () (forall @t197 @t490)) % 14.80/15.07 (define @t492 () (or @t475 @t491)) % 14.80/15.07 (define @t493 () (or @t475 @t490)) % 14.80/15.07 (define @t494 () (or @t488 @t475 @t487 @t191)) % 14.80/15.07 (define @t495 () (or @t475 @t487 @t191)) % 14.80/15.07 (define @t496 () (@var "BOUND_VARIABLE_9006" $$unsorted)) % 14.80/15.07 (define @t497 () (= (tptp.m2_subset_1 @t496 @t4 @t2) (tptp.m1_subset_1 @t496 @t2))) % 14.80/15.07 (define @t498 () (not @t61)) % 14.80/15.07 (define @t499 () (or @t95 @t98 @t498 @t497)) % 14.80/15.07 (define @t500 () (@list @t496)) % 14.80/15.07 (define @t501 () (forall @t500 @t499)) % 14.80/15.07 (define @t502 () (forall @t500 @t497)) % 14.80/15.07 (define @t503 () (or @t95 @t98 @t498 @t502)) % 14.80/15.07 (define @t504 () (or @t95 @t98 @t498 @t166)) % 14.80/15.07 (define @t505 () (not @t99)) % 14.80/15.07 (define @t506 () (or @t346 @t505 @t498)) % 14.80/15.07 (define @t507 () (tptp.u1_struct_0 @t253)) % 14.80/15.07 (define @t508 () (tptp.k1_zfmisc_1 @t507)) % 14.80/15.07 (define @t509 () (forall @t21 @t180)) % 14.80/15.07 (define @t510 () (@list @t4)) % 14.80/15.07 (define @t511 () (forall @t21 @t181)) % 14.80/15.07 (define @t512 () (forall @t21 @t182)) % 14.80/15.07 (define @t513 () (forall @t21 @t183)) % 14.80/15.07 (define @t514 () (and @t513 @t512 @t511 @t509)) % 14.80/15.07 (define @t515 () (tptp.m1_subset_1 @t273 (tptp.k1_zfmisc_1 @t508))) % 14.80/15.07 (define @t516 () (or @t266 @t263 @t515)) % 14.80/15.07 (define @t517 () (tptp.m2_subset_1 @t250 @t508 @t273)) % 14.80/15.07 (define @t518 () (= @t517 @t422)) % 14.80/15.07 (define @t519 () (not @t515)) % 14.80/15.07 (define @t520 () (tptp.v1_xboole_0 @t508)) % 14.80/15.07 (define @t521 () (or @t520 @t371 @t519 @t518)) % 14.80/15.07 (define @t522 () (@list true false true false)) % 14.80/15.07 (define @t523 () (tptp.m2_subset_1 @t251 @t508 @t273)) % 14.80/15.07 (define @t524 () (= @t523 @t424)) % 14.80/15.07 (define @t525 () (or @t520 @t371 @t519 @t524)) % 14.80/15.07 (define @t526 () (= @t425 (tptp.k2_lattices @t274 @t251 @t250))) % 14.80/15.07 (define @t527 () (not @t517)) % 14.80/15.07 (define @t528 () (not @t319)) % 14.80/15.07 (define @t529 () (not @t523)) % 14.80/15.07 (define @t530 () (not @t423)) % 14.80/15.07 (define @t531 () (or @t266 @t265 @t263 @t530 @t529 @t528 @t527 @t526)) % 14.80/15.07 (define @t532 () (and @t309 @t275 @t526 @t426)) % 14.80/15.07 (assume @p1 @t23) % 14.80/15.07 (assume @p2 (forall @t25 (= @t24 (tptp.k2_tarski @t2 @t4)))) % 14.80/15.07 (assume @p3 true) % 14.80/15.07 (assume @p4 (forall @t21 (=> @t31 (and @t30 @t29 @t28 @t27)))) % 14.80/15.07 (assume @p5 (forall @t21 (=> @t32 (and @t30 @t29 @t28 @t27 (tptp.v5_membered @t26))))) % 14.80/15.07 (assume @p6 (forall @t25 (=> (and @t35 @t34) @t33))) % 14.80/15.07 (assume @p7 (forall @t25 (=> (and @t38 @t37) (and @t33 @t36)))) % 14.80/15.07 (assume @p8 (forall @t25 (=> (and @t41 @t40) (and @t33 @t36 @t39)))) % 14.80/15.07 (assume @p9 (forall @t25 (=> (and @t31 @t43) (and @t33 @t36 @t39 @t42)))) % 14.80/15.07 (assume @p10 (forall @t25 (=> (and @t32 @t44) (and @t33 @t36 @t39 @t42 (tptp.v5_membered @t24))))) % 14.80/15.07 (assume @p11 (forall @t21 (and (not (tptp.v1_xboole_0 @t26)) (tptp.v1_finset_1 @t26)))) % 14.80/15.07 (assume @p12 (forall @t25 (and (not (tptp.v1_xboole_0 @t24)) (tptp.v1_finset_1 @t24)))) % 14.80/15.07 (assume @p13 (forall @t21 (=> @t35 @t30))) % 14.80/15.07 (assume @p14 (forall @t21 (=> @t38 (and @t30 @t29)))) % 14.80/15.07 (assume @p15 (forall @t21 (=> @t41 (and @t30 @t29 @t28)))) % 14.80/15.07 (assume @p16 (forall @t25 (= (tptp.k4_tarski @t4 @t2) (tptp.k2_tarski @t24 @t26)))) % 14.80/15.07 (assume @p17 (forall @t25 (=> @t45 (not (tptp.r2_hidden @t2 @t4))))) % 14.80/15.07 (assume @p18 (exists @t21 @t46)) % 14.80/15.07 (assume @p19 (forall @t21 (=> @t46 @t47))) % 14.80/15.07 (assume @p20 @t52) % 14.80/15.07 (assume @p21 (forall @t21 (=> @t54 (forall @t13 (=> @t53 @t34))))) % 14.80/15.07 (assume @p22 (forall @t21 (=> @t55 (forall @t13 (=> @t53 (and @t34 @t37)))))) % 14.80/15.07 (assume @p23 (forall @t21 (=> @t56 (forall @t13 (=> @t53 (and @t34 @t37 @t40)))))) % 14.80/15.07 (assume @p24 (forall @t21 (=> @t57 (forall @t13 (=> @t53 (and @t34 @t37 @t43 @t40)))))) % 14.80/15.07 (assume @p25 (forall @t21 (=> @t58 (forall @t13 (=> @t53 (and @t34 @t44 @t37 @t43 @t40)))))) % 14.80/15.07 (assume @p26 (forall @t21 (=> @t54 (forall @t13 (=> @t61 @t59))))) % 14.80/15.07 (assume @p27 (forall @t21 (=> @t55 (forall @t13 (=> @t61 (and @t59 @t62)))))) % 14.80/15.07 (assume @p28 (forall @t21 (=> @t56 (forall @t13 (=> @t61 (and @t59 @t62 @t63)))))) % 14.80/15.07 (assume @p29 (forall @t21 (=> @t57 (forall @t13 (=> @t61 (and @t59 @t62 @t63 @t64)))))) % 14.80/15.07 (assume @p30 (forall @t70 (=> @t69 (=> (and @t66 @t68) @t67)))) % 14.80/15.07 (assume @p31 (forall @t21 (=> @t58 @t57))) % 14.80/15.07 (assume @p32 (forall @t21 (=> @t58 (forall @t13 (=> @t61 (and @t59 @t62 @t63 @t64 (tptp.v5_membered @t2))))))) % 14.80/15.07 (assume @p33 (forall @t21 (=> @t72 (forall @t13 (=> @t61 @t71))))) % 14.80/15.07 (assume @p34 (forall @t21 (=> @t82 (=> @t81 @t74)))) % 14.80/15.07 (assume @p35 (forall @t21 (=> @t57 @t56))) % 14.80/15.07 (assume @p36 (forall @t21 (=> @t56 @t55))) % 14.80/15.07 (assume @p37 (forall @t21 (=> @t55 @t54))) % 14.80/15.07 (assume @p38 (forall @t25 (=> @t71 @t84))) % 14.80/15.07 (assume @p39 (forall @t25 (=> @t72 @t84))) % 14.80/15.07 (assume @p40 (forall @t25 (=> (and @t72 @t71) (tptp.v1_finset_1 @t85)))) % 14.80/15.07 (assume @p41 (forall @t25 (=> @t54 @t86))) % 14.80/15.07 (assume @p42 (forall @t25 (=> @t54 @t88))) % 14.80/15.07 (assume @p43 (forall @t25 (=> @t55 (and @t86 @t89)))) % 14.80/15.07 (assume @p44 (forall @t25 (=> @t55 (and @t88 @t90)))) % 14.80/15.07 (assume @p45 (forall @t25 (=> @t56 (and @t86 @t89 @t91)))) % 14.80/15.07 (assume @p46 (forall @t25 (=> @t56 (and @t88 @t90 @t92)))) % 14.80/15.07 (assume @p47 (forall @t25 (=> @t57 (and @t86 @t89 @t91 @t93)))) % 14.80/15.07 (assume @p48 (forall @t25 (=> @t57 (and @t88 @t90 @t92 @t94)))) % 14.80/15.07 (assume @p49 (forall @t25 (=> @t58 (and @t86 @t89 @t91 @t93 (tptp.v5_membered @t83))))) % 14.80/15.07 (assume @p50 (forall @t25 (=> @t58 (and @t88 @t90 @t92 @t94 (tptp.v5_membered @t87))))) % 14.80/15.07 (assume @p51 (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))) % 14.80/15.07 (assume @p52 (exists @t21 (and @t96 @t72))) % 14.80/15.07 (assume @p53 (forall @t25 (exists @t9 (and @t69 @t97 @t66 @t65)))) % 14.80/15.07 (assume @p54 (exists @t21 (and @t96 @t54 @t55 @t56 @t57 @t58))) % 14.80/15.07 (assume @p55 (forall @t25 (exists @t9 (and @t69 @t97 @t66)))) % 14.80/15.07 (assume @p56 (forall @t21 (=> @t96 (exists @t13 (and @t61 @t99 @t71))))) % 14.80/15.07 (assume @p57 (forall @t21 (=> @t103 (exists @t13 (and @t102 @t100))))) % 14.80/15.07 (assume @p58 (forall @t21 (=> @t19 (exists @t13 (and @t102 @t99 @t100))))) % 14.80/15.07 (assume @p59 (exists @t21 (and @t82 @t18 @t104 @t80 @t79 @t78 @t77 @t76 @t75 @t73))) % 14.80/15.07 (assume @p60 (forall @t25 (=> @t45 @t105))) % 14.80/15.07 (assume @p61 (forall @t21 (= (tptp.k3_xboole_0 @t4 tptp.k1_xboole_0) tptp.k1_xboole_0))) % 14.80/15.07 (assume @p62 (forall @t70 (=> (and @t45 @t106) (tptp.m1_subset_1 @t4 @t1)))) % 14.80/15.07 (assume @p63 (forall @t70 (not (and @t45 @t106 @t107)))) % 14.80/15.07 (assume @p64 (forall @t21 (=> (and (tptp.v1_relat_1 @t4) (tptp.v1_funct_1 @t4)) (forall (@list @t2 @t1) (= (tptp.k1_binop_1 @t4 @t2 @t1) (tptp.k1_funct_1 @t4 (tptp.k4_tarski @t2 @t1))))))) % 14.80/15.07 (assume @p65 (forall @t25 (tptp.r1_tarski @t4 @t4))) % 14.80/15.07 (assume @p66 @t111) % 14.80/15.07 (assume @p67 (exists @t21 @t112)) % 14.80/15.07 (assume @p68 (exists @t21 @t47)) % 14.80/15.07 (assume @p69 (exists @t21 @t82)) % 14.80/15.07 (assume @p70 (forall @t25 (exists @t9 @t69))) % 14.80/15.07 (assume @p71 (forall @t25 (exists @t9 @t113))) % 14.80/15.07 (assume @p72 (forall @t119 (=> @t118 (= @t117 (tptp.k1_binop_1 @t116 @t115 @t114))))) % 14.80/15.07 (assume @p73 @t120) % 14.80/15.07 (assume @p74 (forall @t119 (=> @t118 (tptp.m1_subset_1 @t117 @t1)))) % 14.80/15.07 (assume @p75 (forall @t21 (=> @t112 @t47))) % 14.80/15.07 (assume @p76 @t122) % 14.80/15.07 (assume @p77 (forall @t70 (=> @t113 @t123))) % 14.80/15.07 (assume @p78 @t125) % 14.80/15.07 (assume @p79 (forall @t21 (=> @t95 (and @t54 @t55 @t56 @t57 @t58)))) % 14.80/15.07 (assume @p80 (forall @t21 (=> @t95 @t72))) % 14.80/15.07 (assume @p81 (forall @t21 (=> @t127 @t126))) % 14.80/15.07 (assume @p82 @t129) % 14.80/15.07 (assume @p83 (forall @t70 (=> @t123 @t97))) % 14.80/15.07 (assume @p84 (forall @t21 (=> @t126 @t127))) % 14.80/15.07 (assume @p85 (forall @t25 (=> @t99 (forall @t9 (=> @t69 (=> @t67 (and @t66 @t68 @t65))))))) % 14.80/15.07 (assume @p86 (forall @t25 (=> (and @t96 @t99) (forall @t9 (=> @t69 (=> @t67 (and @t66 (not @t107) @t68 @t65))))))) % 14.80/15.07 (assume @p87 (forall @t21 (=> @t130 (not (tptp.v1_xboole_0 @t48))))) % 14.80/15.07 (assume @p88 @t141) % 14.80/15.07 (assume @p89 (exists @t21 (and @t82 @t104))) % 14.80/15.07 (assume @p90 (exists @t21 (and @t47 @t18))) % 14.80/15.07 (assume @p91 (forall @t21 (=> @t130 (exists @t13 (and @t102 @t99))))) % 14.80/15.07 (assume @p92 (exists @t21 (and @t82 @t18 @t104))) % 14.80/15.07 (assume @p93 (forall @t25 (=> @t105 (or @t98 @t45)))) % 14.80/15.07 (assume @p94 (forall @t21 (=> @t95 (= @t4 tptp.k1_xboole_0)))) % 14.80/15.07 (assume @p95 (forall @t25 (not (and @t45 @t98)))) % 14.80/15.07 (assume @p96 (forall @t25 (not (and @t95 (not @t142) @t98)))) % 14.80/15.07 (assume @p97 (forall @t25 (=> (forall @t9 (= (tptp.r2_hidden @t1 @t4) (tptp.r2_hidden @t1 @t2))) @t142))) % 14.80/15.07 (assume @p98 (forall @t25 (=> (and (not (tptp.v3_struct_0 @t2)) (tptp.l1_pre_topc @t2)) (= (tptp.r2_hidden @t4 (tptp.a_1_0_lopclset @t2)) (exists @t9 (and (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 @t2))) (= @t4 @t1) (tptp.v3_pre_topc @t1 @t2) (tptp.v4_pre_topc @t1 @t2))))))) % 14.80/15.07 (assume @p99 @t149) % 14.80/15.07 (assume @p100 (forall @t70 (=> @t154 (= @t150 (tptp.k3_lopclset @t4 @t1 @t2))))) % 14.80/15.07 (assume @p101 (forall @t70 (=> @t154 (= (tptp.k3_lopclset @t4 @t2 @t2) @t2)))) % 14.80/15.07 (assume @p102 (forall @t25 (= @t83 @t87))) % 14.80/15.07 (assume @p103 (forall @t25 (= (tptp.k3_xboole_0 @t4 @t4) @t4))) % 14.80/15.07 (assume @p104 (forall @t70 (=> @t158 (= @t155 (tptp.k4_lattices @t4 @t1 @t2))))) % 14.80/15.07 (assume @p105 (exists @t21 @t15)) % 14.80/15.07 (assume @p106 (forall @t21 (exists @t13 @t53))) % 14.80/15.07 (assume @p107 (forall @t25 (=> @t160 (exists @t9 @t159)))) % 14.80/15.07 (assume @p108 @t162) % 14.80/15.07 (assume @p109 @t165) % 14.80/15.07 (assume @p110 @t167) % 14.80/15.07 (assume @p111 (forall @t70 (=> @t147 (and @t132 (tptp.l3_lattices @t131))))) % 14.80/15.07 (assume @p112 @t170) % 14.80/15.07 (assume @p113 (forall @t70 (=> (and @t18 @t112 @t157 @t156) (tptp.m1_subset_1 @t163 @t48)))) % 14.80/15.07 (assume @p114 (forall @t70 (=> @t154 (tptp.m2_subset_1 @t150 @t101 @t151)))) % 14.80/15.07 (assume @p115 (forall @t70 (=> @t158 (tptp.m1_subset_1 @t155 @t48)))) % 14.80/15.07 (assume @p116 @t174) % 14.80/15.07 (assume @p117 @t177) % 14.80/15.07 (assume @p118 @t179) % 14.80/15.07 (assume @p119 (forall @t21 (=> @t15 @t47))) % 14.80/15.07 (assume @p120 (forall @t25 (=> @t160 (forall @t9 (=> @t159 (tptp.m1_subset_1 @t1 @t4)))))) % 14.80/15.07 (assume @p121 @t184) % 14.80/15.07 (assume @p122 @t186) % 14.80/15.07 (assume @p123 (forall @t25 (= (tptp.m1_subset_1 @t4 (tptp.k1_zfmisc_1 @t2)) (tptp.r1_tarski @t4 @t2)))) % 14.80/15.07 (assume @p124 (forall @t21 (=> @t169 (= @t151 (tptp.a_1_0_lopclset @t4))))) % 14.80/15.07 (assume @p125 (forall @t21 (=> (and @t18 @t112) (forall @t13 (=> @t157 (forall @t9 (=> @t156 (= @t163 (tptp.k2_binop_1 @t48 @t48 @t48 @t108 @t2 @t1))))))))) % 14.80/15.07 (assume @p126 @t189) % 14.80/15.07 (assume @p127 @t211) % 14.80/15.07 (step @p128 :rule aci_norm :args ((= @t221 @t219))) % 14.80/15.07 (step @p129 :rule cong :premises (@p128) :args (@t223)) % 14.80/15.07 (step @p130 :rule quant-merge-prenex :args ((= (forall @t21 @t225) @t223))) % 14.80/15.07 (step @p131 :rule alpha_equiv :args (@t226 (@list @t213 @t212) (@list @t2 @t227))) % 14.80/15.07 (step @p132 :rule refl :args (@t217)) % 14.80/15.07 (step @p133 :rule refl :args (@t218)) % 14.80/15.07 (step @p134 :rule refl :args (@t17)) % 14.80/15.07 (step @p135 :rule nary_cong :premises (@p134 @p133 @p132 @p131) :args (@t228)) % 14.80/15.07 (step @p136 :rule quant-miniscope-or :args ((= @t225 @t228))) % 14.80/15.07 (step @p137 :rule trans :premises (@p136 @p135)) % 14.80/15.07 (step @p138 :rule symm :premises (@p137)) % 14.80/15.07 (step @p139 :rule cong :premises (@p138) :args ((forall @t21 @t235))) % 14.80/15.07 (step @p140 :rule trans :premises (@p139 @p130)) % 14.80/15.07 (step @p141 :rule trans :premises (@p140 @p129)) % 14.80/15.07 (step @p142 :rule aci_norm :args ((= (or @t236 @t234) @t235))) % 14.80/15.07 (step @p143 :rule refl :args (@t234)) % 14.80/15.07 (step @p144 :rule bool-double-not-elim :args (@t17)) % 14.80/15.07 (step @p145 :rule nary_cong :premises (@p144 @p133 @p132) :args (@t238)) % 14.80/15.07 (step @p146 :rule aci_norm :args ((= (or @t237 (or @t218 @t217)) @t238))) % 14.80/15.07 (step @p147 :rule trans :premises (@p146 @p145)) % 14.80/15.07 (step @p148 :rule bool-and-de-morgan :args (@t16 @t15 true)) % 14.80/15.07 (step @p149 :rule refl :args (@t237)) % 14.80/15.07 (step @p150 :rule nary_cong :premises (@p149 @p148) :args ((or @t237 (not @t103)))) % 14.80/15.07 (step @p151 :rule bool-and-de-morgan :args (@t18 @t16 (and @t15))) % 14.80/15.07 (step @p152 :rule trans :premises (@p151 @p150)) % 14.80/15.07 (step @p153 :rule trans :premises (@p152 @p147)) % 14.80/15.07 (step @p154 :rule nary_cong :premises (@p153 @p143) :args ((or @t239 @t234))) % 14.80/15.07 (step @p155 :rule trans :premises (@p154 @p142)) % 14.80/15.07 (step @p156 :rule bool-impl-elim :args (@t19 @t234)) % 14.80/15.07 (step @p157 :rule trans :premises (@p156 @p155)) % 14.80/15.07 (step @p158 :rule cong :premises (@p157) :args ((forall @t21 (=> @t19 @t234)))) % 14.80/15.07 (step @p159 :rule trans :premises (@p158 @p141)) % 14.80/15.07 (step @p160 :rule aci_norm :args ((= @t241 @t232))) % 14.80/15.07 (step @p161 :rule cong :premises (@p160) :args (@t242)) % 14.80/15.07 (step @p162 :rule quant-merge-prenex :args ((= (forall @t13 @t244) @t242))) % 14.80/15.07 (step @p163 :rule alpha_equiv :args (@t245 (@list @t227) @t246)) % 14.80/15.07 (step @p164 :rule refl :args (@t231)) % 14.80/15.07 (step @p165 :rule nary_cong :premises (@p164 @p163) :args (@t247)) % 14.80/15.07 (step @p166 :rule quant-miniscope-or :args ((= @t244 @t247))) % 14.80/15.07 (step @p167 :rule trans :premises (@p166 @p165)) % 14.80/15.07 (step @p168 :rule symm :premises (@p167)) % 14.80/15.07 (step @p169 :rule cong :premises (@p168) :args ((forall @t13 (or @t231 @t248)))) % 14.80/15.07 (step @p170 :rule trans :premises (@p169 @p162)) % 14.80/15.07 (step @p171 :rule trans :premises (@p170 @p161)) % 14.80/15.07 (step @p172 :rule bool-impl-elim :args (@t11 @t248)) % 14.80/15.07 (step @p173 :rule cong :premises (@p172) :args ((forall @t13 (=> @t11 @t248)))) % 14.80/15.07 (step @p174 :rule trans :premises (@p173 @p171)) % 14.80/15.07 (step @p175 :rule bool-impl-elim :args (@t8 @t6)) % 14.80/15.07 (step @p176 :rule cong :premises (@p175) :args (@t10)) % 14.80/15.07 (step @p177 :rule refl :args (@t11)) % 14.80/15.07 (step @p178 :rule cong :premises (@p177 @p176) :args (@t12)) % 14.80/15.07 (step @p179 :rule cong :premises (@p178) :args (@t14)) % 14.80/15.07 (step @p180 :rule trans :premises (@p179 @p174)) % 14.80/15.07 (step @p181 :rule refl :args (@t19)) % 14.80/15.07 (step @p182 :rule cong :premises (@p181 @p180) :args (@t20)) % 14.80/15.07 (step @p183 :rule cong :premises (@p182) :args (@t22)) % 14.80/15.07 (step @p184 :rule trans :premises (@p183 @p159)) % 14.80/15.07 (step @p185 :rule cong :premises (@p184) :args (@t23)) % 14.80/15.07 (step @p186 :rule eq_resolve :premises (@p1 @p185)) % 14.80/15.07 (step @p187 :rule skolemize :premises (@p186)) % 14.80/15.07 (step @p188 :rule cnf_or_neg :args (@t267 5)) % 14.80/15.07 (step @p189 :rule chain_m_resolution :premises (@p188 @p187) :args ((not @t256) @t268 @t269)) % 14.80/15.07 (step @p190 :rule aci_norm :args ((= (or @t236 @t188) (or @t17 @t218 @t217 @t188)))) % 14.80/15.07 (step @p191 :rule refl :args (@t188)) % 14.80/15.07 (step @p192 :rule nary_cong :premises (@p153 @p191) :args ((or @t239 @t188))) % 14.80/15.07 (step @p193 :rule trans :premises (@p192 @p190)) % 14.80/15.07 (step @p194 :rule bool-impl-elim :args (@t19 @t188)) % 14.80/15.07 (step @p195 :rule trans :premises (@p194 @p193)) % 14.80/15.07 (step @p196 :rule cong :premises (@p195) :args (@t189)) % 14.80/15.07 (step @p197 :rule eq_resolve :premises (@p126 @p196)) % 14.80/15.07 (step @p198 :rule instantiate :premises (@p197) :args (@t270)) % 14.80/15.07 (step @p199 :rule bool-double-not-elim :args (@t262)) % 14.80/15.07 (step @p200 :rule refl :args (@t267)) % 14.80/15.07 (step @p201 :rule nary_cong :premises (@p200 @p199) :args ((or @t267 (not @t263)))) % 14.80/15.07 (step @p202 :rule cnf_or_neg :args (@t267 2)) % 14.80/15.07 (step @p203 :rule eq_resolve :premises (@p202 @p201)) % 14.80/15.07 (step @p204 :rule reordering :premises (@p203) :args ((or @t262 @t267))) % 14.80/15.07 (step @p205 :rule chain_m_resolution :premises (@p204 @p187) :args (@t262 @t268 @t269)) % 14.80/15.07 (step @p206 :rule bool-double-not-elim :args (@t264)) % 14.80/15.07 (step @p207 :rule nary_cong :premises (@p200 @p206) :args ((or @t267 (not @t265)))) % 14.80/15.07 (step @p208 :rule cnf_or_neg :args (@t267 1)) % 14.80/15.07 (step @p209 :rule eq_resolve :premises (@p208 @p207)) % 14.80/15.07 (step @p210 :rule reordering :premises (@p209) :args ((or @t264 @t267))) % 14.80/15.07 (step @p211 :rule chain_m_resolution :premises (@p210 @p187) :args (@t264 @t268 @t269)) % 14.80/15.07 (step @p212 :rule cnf_or_neg :args (@t267 0)) % 14.80/15.07 (step @p213 :rule chain_m_resolution :premises (@p212 @p187) :args ((not @t266) @t268 @t269)) % 14.80/15.07 (step @p214 :rule cnf_or_pos :args (@t276)) % 14.80/15.07 (step @p215 :rule reordering :premises (@p214) :args ((or @t266 @t265 @t263 @t275 (not @t276)))) % 14.80/15.07 (step @p216 :rule chain_m_resolution :premises (@p215 @p213 @p211 @p205 @p198) :args (@t275 @t277 (@list @t266 @t264 @t262 @t276))) % 14.80/15.07 (step @p217 :rule aci_norm :args ((= (or (or @t17 @t281 @t280 @t279 @t278) @t164) (or @t17 @t281 @t280 @t279 @t278 @t164)))) % 14.80/15.07 (step @p218 :rule refl :args (@t164)) % 14.80/15.07 (step @p219 :rule refl :args (@t278)) % 14.80/15.07 (step @p220 :rule refl :args (@t279)) % 14.80/15.07 (step @p221 :rule refl :args (@t280)) % 14.80/15.07 (step @p222 :rule refl :args (@t281)) % 14.80/15.07 (step @p223 :rule nary_cong :premises (@p144 @p222 @p221 @p220 @p219) :args (@t282)) % 14.80/15.07 (step @p224 :rule aci_norm :args ((= (or @t237 (or @t281 (or @t280 (or @t279 @t278)))) @t282))) % 14.80/15.07 (step @p225 :rule trans :premises (@p224 @p223)) % 14.80/15.07 (step @p226 :rule bool-and-de-morgan :args (@t157 @t156 true)) % 14.80/15.07 (step @p227 :rule nary_cong :premises (@p221 @p226) :args ((or @t280 (not (and @t157 @t156))))) % 14.80/15.07 (step @p228 :rule bool-and-de-morgan :args (@t112 @t157 (and @t156))) % 14.80/15.07 (step @p229 :rule trans :premises (@p228 @p227)) % 14.80/15.07 (step @p230 :rule nary_cong :premises (@p222 @p229) :args ((or @t281 (not (and @t112 @t157 @t156))))) % 14.80/15.07 (step @p231 :rule bool-and-de-morgan :args (@t78 @t112 (and @t157 @t156))) % 14.80/15.07 (step @p232 :rule trans :premises (@p231 @p230)) % 14.80/15.07 (step @p233 :rule nary_cong :premises (@p149 @p232) :args ((or @t237 (not (and @t78 @t112 @t157 @t156))))) % 14.80/15.07 (step @p234 :rule bool-and-de-morgan :args (@t18 @t78 (and @t112 @t157 @t156))) % 14.80/15.07 (step @p235 :rule trans :premises (@p234 @p233)) % 14.80/15.07 (step @p236 :rule trans :premises (@p235 @p225)) % 14.80/15.07 (step @p237 :rule nary_cong :premises (@p236 @p218) :args ((or (not @t158) @t164))) % 14.80/15.07 (step @p238 :rule trans :premises (@p237 @p217)) % 14.80/15.07 (step @p239 :rule bool-impl-elim :args (@t158 @t164)) % 14.80/15.07 (step @p240 :rule trans :premises (@p239 @p238)) % 14.80/15.07 (step @p241 :rule cong :premises (@p240) :args (@t165)) % 14.80/15.07 (step @p242 :rule eq_resolve :premises (@p109 @p241)) % 14.80/15.07 (step @p243 :rule instantiate :premises (@p242) :args ((@list @t254 @t251 @t250))) % 14.80/15.07 (step @p244 :rule aci_norm :args ((= (or @t284 @t285) (or @t284 @t17 @t283 @t81)))) % 14.80/15.07 (step @p245 :rule aci_norm :args ((= (or (or @t17 @t283) @t81) @t285))) % 14.80/15.07 (step @p246 :rule refl :args (@t81)) % 14.80/15.07 (step @p247 :rule refl :args (@t283)) % 14.80/15.07 (step @p248 :rule nary_cong :premises (@p144 @p247) :args ((or @t237 @t283))) % 14.80/15.07 (step @p249 :rule bool-and-de-morgan :args (@t18 @t73 true)) % 14.80/15.07 (step @p250 :rule trans :premises (@p249 @p248)) % 14.80/15.07 (step @p251 :rule nary_cong :premises (@p250 @p246) :args ((or (not @t74) @t81))) % 14.80/15.07 (step @p252 :rule trans :premises (@p251 @p245)) % 14.80/15.07 (step @p253 :rule bool-impl-elim :args (@t74 @t81)) % 14.80/15.07 (step @p254 :rule trans :premises (@p253 @p252)) % 14.80/15.07 (step @p255 :rule refl :args (@t284)) % 14.80/15.07 (step @p256 :rule nary_cong :premises (@p255 @p254) :args ((or @t284 @t128))) % 14.80/15.07 (step @p257 :rule trans :premises (@p256 @p244)) % 14.80/15.07 (step @p258 :rule bool-impl-elim :args (@t82 @t128)) % 14.80/15.07 (step @p259 :rule trans :premises (@p258 @p257)) % 14.80/15.07 (step @p260 :rule cong :premises (@p259) :args (@t129)) % 14.80/15.07 (step @p261 :rule eq_resolve :premises (@p82 @p260)) % 14.80/15.07 (step @p262 :rule instantiate :premises (@p261) :args (@t286)) % 14.80/15.07 (step @p263 :rule aci_norm :args ((= (or @t236 @t178) (or @t17 @t218 @t217 @t178)))) % 14.80/15.07 (step @p264 :rule refl :args (@t178)) % 14.80/15.07 (step @p265 :rule nary_cong :premises (@p153 @p264) :args ((or @t239 @t178))) % 14.80/15.07 (step @p266 :rule trans :premises (@p265 @p263)) % 14.80/15.07 (step @p267 :rule bool-impl-elim :args (@t19 @t178)) % 14.80/15.07 (step @p268 :rule trans :premises (@p267 @p266)) % 14.80/15.07 (step @p269 :rule cong :premises (@p268) :args (@t179)) % 14.80/15.07 (step @p270 :rule eq_resolve :premises (@p118 @p269)) % 14.80/15.07 (step @p271 :rule instantiate :premises (@p270) :args (@t270)) % 14.80/15.07 (step @p272 :rule cnf_or_pos :args (@t292)) % 14.80/15.07 (step @p273 :rule reordering :premises (@p272) :args ((or @t266 @t265 @t263 @t291 (not @t292)))) % 14.80/15.07 (step @p274 :rule chain_m_resolution :premises (@p273 @p213 @p211 @p205 @p271) :args (@t291 @t277 (@list @t266 @t264 @t262 @t292))) % 14.80/15.07 (step @p275 :rule cnf_and_pos :args (@t291 1)) % 14.80/15.07 (step @p276 :rule reordering :premises (@p275) :args ((or @t288 @t293))) % 14.80/15.07 (step @p277 :rule chain_m_resolution :premises (@p276 @p274) :args (@t288 @t294 @t295)) % 14.80/15.07 (step @p278 :rule cnf_and_pos :args (@t291 0)) % 14.80/15.07 (step @p279 :rule reordering :premises (@p278) :args ((or @t290 @t293))) % 14.80/15.07 (step @p280 :rule chain_m_resolution :premises (@p279 @p274) :args (@t290 @t294 @t295)) % 14.80/15.07 (step @p281 :rule cnf_and_pos :args (@t291 2)) % 14.80/15.07 (step @p282 :rule reordering :premises (@p281) :args ((or @t287 @t293))) % 14.80/15.07 (step @p283 :rule chain_m_resolution :premises (@p282 @p274) :args (@t287 @t294 @t295)) % 14.80/15.07 (step @p284 :rule cnf_or_pos :args (@t300)) % 14.80/15.07 (step @p285 :rule reordering :premises (@p284) :args ((or @t299 @t289 @t298 @t297 (not @t300)))) % 14.80/15.07 (step @p286 :rule chain_m_resolution :premises (@p285 @p283 @p280 @p277 @p262) :args (@t297 (@list false true false false) (@list @t287 @t289 @t288 @t300))) % 14.80/15.07 (step @p287 :rule cnf_and_pos :args (@t297 3)) % 14.80/15.07 (step @p288 :rule reordering :premises (@p287) :args ((or @t296 (not @t297)))) % 14.80/15.07 (step @p289 :rule chain_m_resolution :premises (@p288 @p286) :args (@t296 @t294 (@list @t297))) % 14.80/15.07 (step @p290 :rule bool-impl-elim :args (@t82 @t121)) % 14.80/15.07 (step @p291 :rule cong :premises (@p290) :args (@t122)) % 14.80/15.07 (step @p292 :rule eq_resolve :premises (@p76 @p291)) % 14.80/15.07 (step @p293 :rule instantiate :premises (@p292) :args (@t286)) % 14.80/15.07 (step @p294 :rule cnf_or_pos :args (@t304)) % 14.80/15.07 (step @p295 :rule reordering :premises (@p294) :args ((or @t299 @t303 (not @t304)))) % 14.80/15.07 (step @p296 :rule chain_m_resolution :premises (@p295 @p283 @p293) :args (@t303 @t305 (@list @t287 @t304))) % 14.80/15.07 (step @p297 :rule cnf_and_pos :args (@t303 0)) % 14.80/15.07 (step @p298 :rule reordering :premises (@p297) :args ((or @t302 @t306))) % 14.80/15.07 (step @p299 :rule chain_m_resolution :premises (@p298 @p296) :args (@t302 @t294 @t307)) % 14.80/15.07 (step @p300 :rule bool-double-not-elim :args (@t258)) % 14.80/15.07 (step @p301 :rule nary_cong :premises (@p200 @p300) :args ((or @t267 (not @t259)))) % 14.80/15.07 (step @p302 :rule cnf_or_neg :args (@t267 4)) % 14.80/15.07 (step @p303 :rule eq_resolve :premises (@p302 @p301)) % 14.80/15.07 (step @p304 :rule reordering :premises (@p303) :args ((or @t258 @t267))) % 14.80/15.07 (step @p305 :rule chain_m_resolution :premises (@p304 @p187) :args (@t258 @t268 @t269)) % 14.80/15.07 (step @p306 :rule bool-double-not-elim :args (@t260)) % 14.80/15.07 (step @p307 :rule nary_cong :premises (@p200 @p306) :args ((or @t267 (not @t261)))) % 14.80/15.07 (step @p308 :rule cnf_or_neg :args (@t267 3)) % 14.80/15.07 (step @p309 :rule eq_resolve :premises (@p308 @p307)) % 14.80/15.07 (step @p310 :rule reordering :premises (@p309) :args ((or @t260 @t267))) % 14.80/15.07 (step @p311 :rule chain_m_resolution :premises (@p310 @p187) :args (@t260 @t268 @t269)) % 14.80/15.07 (step @p312 :rule cnf_or_pos :args (@t312)) % 14.80/15.07 (step @p313 :rule reordering :premises (@p312) :args ((or @t261 @t259 @t310 @t289 @t311 @t309 (not @t312)))) % 14.80/15.07 (step @p314 :rule chain_m_resolution :premises (@p313 @p311 @p305 @p299 @p280 @p289 @p243) :args (@t309 (@list false false false true false false) (@list @t260 @t258 @t302 @t289 @t296 @t312))) % 14.80/15.07 (step @p315 :rule aci_norm :args ((= (or (or @t17 @t218 @t217 @t315 @t314) @t313) (or @t17 @t218 @t217 @t315 @t314 @t313)))) % 14.80/15.07 (step @p316 :rule refl :args (@t313)) % 14.80/15.07 (step @p317 :rule refl :args (@t314)) % 14.80/15.07 (step @p318 :rule refl :args (@t315)) % 14.80/15.07 (step @p319 :rule nary_cong :premises (@p144 @p133 @p132 @p318 @p317) :args (@t316)) % 14.80/15.07 (step @p320 :rule aci_norm :args ((= (or @t237 (or @t218 (or @t217 (or @t315 @t314)))) @t316))) % 14.80/15.07 (step @p321 :rule trans :premises (@p320 @p319)) % 14.80/15.07 (step @p322 :rule bool-and-de-morgan :args (@t153 @t152 true)) % 14.80/15.07 (step @p323 :rule nary_cong :premises (@p132 @p322) :args ((or @t217 (not (and @t153 @t152))))) % 14.80/15.07 (step @p324 :rule bool-and-de-morgan :args (@t15 @t153 (and @t152))) % 14.80/15.07 (step @p325 :rule trans :premises (@p324 @p323)) % 14.80/15.07 (step @p326 :rule nary_cong :premises (@p133 @p325) :args ((or @t218 (not (and @t15 @t153 @t152))))) % 14.80/15.07 (step @p327 :rule bool-and-de-morgan :args (@t16 @t15 (and @t153 @t152))) % 14.80/15.07 (step @p328 :rule trans 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(@t162)) % 14.80/15.07 (step @p342 :rule trans :premises (@p341 @p337)) % 14.80/15.07 (step @p343 :rule eq_resolve :premises (@p108 @p342)) % 14.80/15.07 (step @p344 :rule instantiate :premises (@p343) :args (@t317)) % 14.80/15.07 (step @p345 :rule true_intro :premises (@p305)) % 14.80/15.07 (step @p346 :rule symm :premises (@p216)) % 14.80/15.07 (step @p347 :rule cong :premises (@p346) :args (@t318)) % 14.80/15.07 (step @p348 :rule refl :args (@t250)) % 14.80/15.07 (step @p349 :rule cong :premises (@p348 @p347) :args (@t319)) % 14.80/15.07 (step @p350 :rule symm :premises (@p347)) % 14.80/15.07 (step @p351 :rule aci_norm :args ((= @t332 (or @t330 @t329 @t328 @t327 @t326 @t325 @t324 @t323)))) % 14.80/15.07 (step @p352 :rule cong :premises (@p351) :args (@t333)) % 14.80/15.07 (step @p353 :rule quant-merge-prenex :args ((= (forall @t70 @t335) @t333))) % 14.80/15.07 (step @p354 :rule alpha_equiv :args (@t336 (@list @t322 @t321 @t320) (@list @t116 @t115 @t114))) % 14.80/15.07 (step @p355 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@t135))))) % 14.80/15.07 (step @p382 :rule bool-and-de-morgan :args (@t139 @t138 (and @t137 @t66 @t136 @t135))) % 14.80/15.07 (step @p383 :rule trans :premises (@p382 @p381)) % 14.80/15.07 (step @p384 :rule trans :premises (@p383 @p370)) % 14.80/15.07 (step @p385 :rule nary_cong :premises (@p384 @p369) :args ((or @t342 @t338))) % 14.80/15.07 (step @p386 :rule trans :premises (@p385 @p368)) % 14.80/15.07 (step @p387 :rule bool-impl-elim :args (@t147 @t338)) % 14.80/15.07 (step @p388 :rule trans :premises (@p387 @p386)) % 14.80/15.07 (step @p389 :rule cong :premises (@p388) :args ((forall @t70 (=> @t147 @t338)))) % 14.80/15.07 (step @p390 :rule trans :premises (@p389 @p367)) % 14.80/15.07 (step @p391 :rule bool-impl-elim :args (@t144 @t143)) % 14.80/15.07 (step @p392 :rule cong :premises (@p391) :args (@t146)) % 14.80/15.07 (step @p393 :rule refl :args (@t147)) % 14.80/15.07 (step @p394 :rule cong :premises (@p393 @p392) :args (@t148)) % 14.80/15.07 (step @p395 :rule cong :premises 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@t95 @t330 @t329 @t328 @t327 @t326 @t325) @t133) (or @t95 @t330 @t329 @t328 @t327 @t326 @t325 @t133)))) % 14.80/15.07 (step @p409 :rule refl :args (@t133)) % 14.80/15.07 (step @p410 :rule bool-double-not-elim :args (@t95)) % 14.80/15.07 (step @p411 :rule nary_cong :premises (@p410 @p360 @p359 @p358 @p357 @p356 @p355) :args (@t347)) % 14.80/15.07 (step @p412 :rule aci_norm :args ((= (or @t346 @t341) @t347))) % 14.80/15.07 (step @p413 :rule trans :premises (@p412 @p411)) % 14.80/15.07 (step @p414 :rule refl :args (@t346)) % 14.80/15.07 (step @p415 :rule nary_cong :premises (@p414 @p383) :args ((or @t346 @t342))) % 14.80/15.07 (step @p416 :rule bool-and-de-morgan :args (@t96 @t139 (and @t138 @t137 @t66 @t136 @t135))) % 14.80/15.07 (step @p417 :rule trans :premises (@p416 @p415)) % 14.80/15.07 (step @p418 :rule trans :premises (@p417 @p413)) % 14.80/15.07 (step @p419 :rule nary_cong :premises (@p418 @p409) :args ((or (not @t140) @t133))) % 14.80/15.07 (step @p420 :rule trans :premises (@p419 @p408)) % 14.80/15.07 (step @p421 :rule bool-impl-elim :args (@t140 @t133)) % 14.80/15.07 (step @p422 :rule trans :premises (@p421 @p420)) % 14.80/15.07 (step @p423 :rule cong :premises (@p422) :args (@t141)) % 14.80/15.07 (step @p424 :rule eq_resolve :premises (@p88 @p423)) % 14.80/15.07 (step @p425 :rule instantiate :premises (@p424) :args ((@list @t273 @t272 @t271))) % 14.80/15.07 (step @p426 :rule eq-symm :args (@t113 @t69)) % 14.80/15.07 (step @p427 :rule cong :premises (@p426) :args (@t120)) % 14.80/15.07 (step @p428 :rule eq_resolve :premises (@p73 @p427)) % 14.80/15.07 (step @p429 :rule eq-symm :args (@t349 @t350)) % 14.80/15.07 (step @p430 :rule refl :args (@t351)) % 14.80/15.07 (step @p431 :rule cong :premises (@p430 @p429) :args ((=> @t351 @t352))) % 14.80/15.07 (assume-push @p834 @t351) % 14.80/15.07 (step @p433 :rule instantiate :premises (@p428) :args ((@list @t348 @t273 @t271))) % 14.80/15.07 (step-pop @p835 :rule scope :premises (@p433)) % 14.80/15.07 (step @p434 :rule process_scope :premises (@p835) :args (@t352)) % 14.80/15.07 (step @p436 :rule eq_resolve :premises (@p434 @p431)) % 14.80/15.07 (step @p437 :rule implies_elim :premises (@p436)) % 14.80/15.07 (step @p438 :rule chain_m_resolution :premises (@p437 @p428) :args (@t353 @t294 @t354)) % 14.80/15.07 (step @p439 :rule aci_norm :args ((= (or @t236 @t176) (or @t17 @t218 @t217 @t176)))) % 14.80/15.07 (step @p440 :rule refl :args (@t176)) % 14.80/15.07 (step @p441 :rule nary_cong :premises (@p153 @p440) :args ((or @t239 @t176))) % 14.80/15.07 (step @p442 :rule trans :premises (@p441 @p439)) % 14.80/15.07 (step @p443 :rule bool-impl-elim :args (@t19 @t176)) % 14.80/15.07 (step @p444 :rule trans :premises (@p443 @p442)) % 14.80/15.07 (step @p445 :rule cong :premises (@p444) :args (@t177)) % 14.80/15.07 (step @p446 :rule eq_resolve :premises (@p117 @p445)) % 14.80/15.07 (step @p447 :rule instantiate :premises (@p446) :args (@t270)) % 14.80/15.07 (step @p448 :rule cnf_or_pos :args (@t358)) % 14.80/15.07 (step @p449 :rule reordering :premises (@p448) :args ((or @t266 @t265 @t263 @t357 (not @t358)))) % 14.80/15.07 (step @p450 :rule chain_m_resolution :premises (@p449 @p213 @p211 @p205 @p447) :args (@t357 @t277 (@list @t266 @t264 @t262 @t358))) % 14.80/15.07 (step @p451 :rule cnf_and_pos :args (@t357 2)) % 14.80/15.07 (step @p452 :rule reordering :premises (@p451) :args ((or @t350 @t359))) % 14.80/15.07 (step @p453 :rule chain_m_resolution :premises (@p452 @p450) :args (@t350 @t294 @t360)) % 14.80/15.07 (step @p454 :rule cnf_equiv_pos1 :args (@t353)) % 14.80/15.07 (step @p455 :rule reordering :premises (@p454) :args ((or (not @t350) @t349 (not @t353)))) % 14.80/15.07 (step @p456 :rule chain_m_resolution :premises (@p455 @p453 @p438) :args (@t349 @t305 (@list @t350 @t353))) % 14.80/15.07 (step @p457 :rule eq-symm :args (@t361 @t362)) % 14.80/15.07 (step @p458 :rule cong :premises (@p430 @p457) :args ((=> @t351 @t363))) % 14.80/15.07 (assume-push @p836 @t351) % 14.80/15.07 (step @p460 :rule instantiate :premises (@p428) :args ((@list @t348 @t273 @t272))) % 14.80/15.07 (step-pop @p837 :rule scope :premises (@p460)) % 14.80/15.07 (step @p461 :rule process_scope :premises (@p837) :args (@t363)) % 14.80/15.07 (step @p463 :rule eq_resolve :premises (@p461 @p458)) % 14.80/15.07 (step @p464 :rule implies_elim :premises (@p463)) % 14.80/15.07 (step @p465 :rule chain_m_resolution :premises (@p464 @p428) :args (@t364 @t294 @t354)) % 14.80/15.07 (step @p466 :rule aci_norm :args ((= (or @t236 @t173) (or @t17 @t218 @t217 @t173)))) % 14.80/15.07 (step @p467 :rule refl :args (@t173)) % 14.80/15.07 (step @p468 :rule nary_cong :premises (@p153 @p467) :args ((or @t239 @t173))) % 14.80/15.07 (step @p469 :rule trans :premises (@p468 @p466)) % 14.80/15.07 (step @p470 :rule bool-impl-elim :args (@t19 @t173)) % 14.80/15.07 (step @p471 :rule trans :premises (@p470 @p469)) % 14.80/15.07 (step @p472 :rule cong :premises (@p471) :args (@t174)) % 14.80/15.07 (step @p473 :rule eq_resolve :premises (@p116 @p472)) % 14.80/15.07 (step @p474 :rule instantiate :premises (@p473) :args (@t270)) % 14.80/15.07 (step @p475 :rule cnf_or_pos :args (@t368)) % 14.80/15.07 (step @p476 :rule reordering :premises (@p475) :args ((or @t266 @t265 @t263 @t367 (not @t368)))) % 14.80/15.07 (step @p477 :rule chain_m_resolution :premises (@p476 @p213 @p211 @p205 @p474) :args (@t367 @t277 (@list @t266 @t264 @t262 @t368))) % 14.80/15.07 (step @p478 :rule cnf_and_pos :args (@t367 2)) % 14.80/15.07 (step @p479 :rule reordering :premises (@p478) :args ((or @t362 @t369))) % 14.80/15.07 (step @p480 :rule chain_m_resolution :premises (@p479 @p477) :args (@t362 @t294 @t370)) % 14.80/15.07 (step @p481 :rule cnf_equiv_pos1 :args (@t364)) % 14.80/15.07 (step @p482 :rule reordering :premises (@p481) :args ((or (not @t362) @t361 (not @t364)))) % 14.80/15.07 (step @p483 :rule chain_m_resolution :premises (@p482 @p480 @p465) :args (@t361 @t305 (@list @t362 @t364))) % 14.80/15.07 (step @p484 :rule 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aci_norm :args ((= (or @t236 @t185) (or @t17 @t218 @t217 @t185)))) % 14.80/15.07 (step @p497 :rule refl :args (@t185)) % 14.80/15.07 (step @p498 :rule nary_cong :premises (@p153 @p497) :args ((or @t239 @t185))) % 14.80/15.07 (step @p499 :rule trans :premises (@p498 @p496)) % 14.80/15.07 (step @p500 :rule bool-impl-elim :args (@t19 @t185)) % 14.80/15.07 (step @p501 :rule trans :premises (@p500 @p499)) % 14.80/15.07 (step @p502 :rule cong :premises (@p501) :args (@t186)) % 14.80/15.07 (step @p503 :rule eq_resolve :premises (@p122 @p502)) % 14.80/15.07 (step @p504 :rule instantiate :premises (@p503) :args (@t270)) % 14.80/15.07 (step @p505 :rule cnf_or_pos :args (@t373)) % 14.80/15.07 (step @p506 :rule reordering :premises (@p505) :args ((or @t266 @t265 @t263 @t372 (not @t373)))) % 14.80/15.07 (step @p507 :rule chain_m_resolution :premises (@p506 @p213 @p211 @p205 @p504) :args (@t372 @t277 (@list @t266 @t264 @t262 @t373))) % 14.80/15.07 (step @p508 :rule cnf_or_pos :args (@t382)) % 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(step @p558 :rule cnf_and_pos :args (@t303 1)) % 14.80/15.07 (step @p559 :rule reordering :premises (@p558) :args ((or @t301 @t306))) % 14.80/15.07 (step @p560 :rule chain_m_resolution :premises (@p559 @p296) :args (@t301 @t294 @t307)) % 14.80/15.07 (step @p561 :rule cnf_or_pos :args (@t408)) % 14.80/15.07 (step @p562 :rule reordering :premises (@p561) :args ((or @t407 @t406 (not @t408)))) % 14.80/15.07 (step @p563 :rule chain_m_resolution :premises (@p562 @p560 @p557) :args (@t406 @t305 (@list @t301 @t408))) % 14.80/15.07 (step @p564 :rule cnf_and_pos :args (@t406 2)) % 14.80/15.07 (step @p565 :rule reordering :premises (@p564) :args ((or @t401 @t409))) % 14.80/15.07 (step @p566 :rule chain_m_resolution :premises (@p565 @p563) :args (@t401 @t294 @t410)) % 14.80/15.07 (step @p567 :rule cnf_equiv_pos1 :args (@t403)) % 14.80/15.07 (step @p568 :rule reordering :premises (@p567) :args ((or (not @t401) @t400 (not @t403)))) % 14.80/15.07 (step @p569 :rule chain_m_resolution :premises (@p568 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:rule trans :premises (@p615 @p613)) % 14.80/15.07 (step @p617 :rule bool-impl-elim :args (@t19 @t452)) % 14.80/15.07 (step @p618 :rule trans :premises (@p617 @p616)) % 14.80/15.07 (step @p619 :rule cong :premises (@p618) :args ((forall @t21 (=> @t19 @t452)))) % 14.80/15.07 (step @p620 :rule trans :premises (@p619 @p612)) % 14.80/15.07 (step @p621 :rule aci_norm :args ((= @t455 @t450))) % 14.80/15.07 (step @p622 :rule cong :premises (@p621) :args (@t456)) % 14.80/15.07 (step @p623 :rule quant-merge-prenex :args ((= (forall @t13 @t458) @t456))) % 14.80/15.07 (step @p624 :rule alpha_equiv :args (@t459 (@list @t443) @t246)) % 14.80/15.07 (step @p625 :rule refl :args (@t448)) % 14.80/15.07 (step @p626 :rule refl :args (@t449)) % 14.80/15.07 (step @p627 :rule nary_cong :premises (@p626 @p625 @p624) :args (@t460)) % 14.80/15.07 (step @p628 :rule quant-miniscope-or :args ((= @t458 @t460))) % 14.80/15.07 (step @p629 :rule trans :premises (@p628 @p627)) % 14.80/15.07 (step @p630 :rule symm 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14.80/15.07 (step @p715 :rule trans :premises (@p714 @p712)) % 14.80/15.07 (step @p716 :rule bool-impl-elim :args (@t194 @t191)) % 14.80/15.07 (step @p717 :rule trans :premises (@p716 @p715)) % 14.80/15.07 (step @p718 :rule nary_cong :premises (@p694 @p717) :args ((or @t488 @t195))) % 14.80/15.07 (step @p719 :rule trans :premises (@p718 @p711)) % 14.80/15.07 (step @p720 :rule bool-impl-elim :args (@t196 @t195)) % 14.80/15.07 (step @p721 :rule trans :premises (@p720 @p719)) % 14.80/15.07 (step @p722 :rule cong :premises (@p721) :args (@t198)) % 14.80/15.07 (step @p723 :rule trans :premises (@p722 @p710)) % 14.80/15.07 (step @p724 :rule refl :args (@t199)) % 14.80/15.07 (step @p725 :rule cong :premises (@p724 @p723) :args (@t200)) % 14.80/15.07 (step @p726 :rule cong :premises (@p725) :args (@t202)) % 14.80/15.07 (step @p727 :rule trans :premises (@p726 @p682)) % 14.80/15.07 (step @p728 :rule refl :args (@t204)) % 14.80/15.07 (step @p729 :rule cong :premises (@p728 @p727) :args (@t205)) % 14.80/15.07 (step @p730 :rule cong :premises (@p729) :args (@t206)) % 14.80/15.07 (step @p731 :rule trans :premises (@p730 @p647)) % 14.80/15.07 (step @p732 :rule refl :args (@t207)) % 14.80/15.07 (step @p733 :rule cong :premises (@p732 @p731) :args (@t208)) % 14.80/15.07 (step @p734 :rule cong :premises (@p733) :args (@t209)) % 14.80/15.07 (step @p735 :rule trans :premises (@p734 @p638)) % 14.80/15.07 (step @p736 :rule cong :premises (@p181 @p735) :args (@t210)) % 14.80/15.07 (step @p737 :rule cong :premises (@p736) :args (@t211)) % 14.80/15.07 (step @p738 :rule trans :premises (@p737 @p620)) % 14.80/15.07 (step @p739 :rule eq_resolve :premises (@p127 @p738)) % 14.80/15.07 (step @p740 :rule instantiate :premises (@p739) :args (@t317)) % 14.80/15.07 (step @p741 :rule quant-merge-prenex :args ((= (forall @t25 @t501) (forall (@list @t4 @t2 @t496) @t499)))) % 14.80/15.07 (step @p742 :rule alpha_equiv :args (@t502 (@list @t496) @t246)) % 14.80/15.07 (step @p743 :rule refl :args (@t498)) % 14.80/15.07 (step @p744 :rule refl :args (@t98)) % 14.80/15.07 (step @p745 :rule refl :args (@t95)) % 14.80/15.07 (step @p746 :rule nary_cong :premises (@p745 @p744 @p743 @p742) :args (@t503)) % 14.80/15.07 (step @p747 :rule quant-miniscope-or :args ((= @t501 @t503))) % 14.80/15.07 (step @p748 :rule trans :premises (@p747 @p746)) % 14.80/15.07 (step @p749 :rule symm :premises (@p748)) % 14.80/15.07 (step @p750 :rule cong :premises (@p749) :args ((forall @t25 @t504))) % 14.80/15.07 (step @p751 :rule trans :premises (@p750 @p741)) % 14.80/15.07 (step @p752 :rule aci_norm :args ((= (or (or @t95 @t98 @t498) @t166) @t504))) % 14.80/15.07 (step @p753 :rule refl :args (@t166)) % 14.80/15.07 (step @p754 :rule bool-double-not-elim :args (@t98)) % 14.80/15.07 (step @p755 :rule nary_cong :premises (@p410 @p754 @p743) :args (@t506)) % 14.80/15.07 (step @p756 :rule aci_norm :args ((= (or @t346 (or @t505 @t498)) @t506))) % 14.80/15.07 (step @p757 :rule trans :premises (@p756 @p755)) % 14.80/15.07 (step @p758 :rule bool-and-de-morgan :args (@t99 @t61 true)) % 14.80/15.07 (step @p759 :rule nary_cong :premises (@p414 @p758) :args ((or @t346 (not (and @t99 @t61))))) % 14.80/15.07 (step @p760 :rule bool-and-de-morgan :args (@t96 @t99 (and @t61))) % 14.80/15.07 (step @p761 :rule trans :premises (@p760 @p759)) % 14.80/15.07 (step @p762 :rule trans :premises (@p761 @p757)) % 14.80/15.07 (step @p763 :rule nary_cong :premises (@p762 @p753) :args ((or (not @t160) @t166))) % 14.80/15.07 (step @p764 :rule trans :premises (@p763 @p752)) % 14.80/15.07 (step @p765 :rule bool-impl-elim :args (@t160 @t166)) % 14.80/15.07 (step @p766 :rule trans :premises (@p765 @p764)) % 14.80/15.07 (step @p767 :rule cong :premises (@p766) :args (@t167)) % 14.80/15.07 (step @p768 :rule trans :premises (@p767 @p751)) % 14.80/15.07 (step @p769 :rule eq_resolve :premises (@p110 @p768)) % 14.80/15.07 (step @p770 :rule instantiate :premises (@p769) :args ((@list @t508 @t273 @t250))) % 14.80/15.07 (step @p771 :rule alpha_equiv :args (@t509 @t510 (@list (@var "BOUND_VARIABLE_9083" $$unsorted)))) % 14.80/15.07 (step @p772 :rule alpha_equiv :args (@t511 @t510 (@list (@var "BOUND_VARIABLE_9077" $$unsorted)))) % 14.80/15.07 (step @p773 :rule alpha_equiv :args (@t512 @t510 (@list (@var "BOUND_VARIABLE_9071" $$unsorted)))) % 14.80/15.07 (step @p774 :rule alpha_equiv :args (@t513 @t510 (@list (@var "BOUND_VARIABLE_9064" $$unsorted)))) % 14.80/15.07 (step @p775 :rule nary_cong :premises (@p774 @p773 @p772 @p771) :args (@t514)) % 14.80/15.07 (step @p776 :rule quant-miniscope-and :args ((= @t184 @t514))) % 14.80/15.07 (step @p777 :rule trans :premises (@p776 @p775)) % 14.80/15.07 (step @p778 :rule eq_resolve :premises (@p121 @p777)) % 14.80/15.07 (step @p779 :rule and_elim :premises (@p778) :args (0)) % 14.80/15.07 (step @p780 :rule instantiate :premises (@p779) :args ((@list @t507))) % 14.80/15.07 (step @p781 :rule aci_norm :args ((= (or (or @t17 @t217) @t168) (or @t17 @t217 @t168)))) % 14.80/15.07 (step @p782 :rule refl :args (@t168)) % 14.80/15.07 (step @p783 :rule nary_cong :premises (@p144 @p132) :args ((or @t237 @t217))) % 14.80/15.07 (step @p784 :rule bool-and-de-morgan :args (@t18 @t15 true)) % 14.80/15.07 (step @p785 :rule trans :premises (@p784 @p783)) % 14.80/15.07 (step @p786 :rule nary_cong :premises (@p785 @p782) :args ((or (not @t169) @t168))) % 14.80/15.07 (step @p787 :rule trans :premises (@p786 @p781)) % 14.80/15.07 (step @p788 :rule bool-impl-elim :args (@t169 @t168)) % 14.80/15.07 (step @p789 :rule trans :premises (@p788 @p787)) % 14.80/15.07 (step @p790 :rule cong :premises (@p789) :args (@t170)) % 14.80/15.07 (step @p791 :rule eq_resolve :premises (@p112 @p790)) % 14.80/15.07 (step @p792 :rule instantiate :premises (@p791) :args (@t270)) % 14.80/15.07 (step @p793 :rule cnf_or_pos :args (@t516)) % 14.80/15.07 (step @p794 :rule reordering :premises (@p793) :args ((or @t266 @t263 @t515 (not @t516)))) % 14.80/15.07 (step @p795 :rule chain_m_resolution :premises (@p794 @p213 @p205 @p792) :args (@t515 (@list true false false) (@list @t266 @t262 @t516))) % 14.80/15.07 (step @p796 :rule cnf_or_pos :args (@t521)) % 14.80/15.07 (step @p797 :rule reordering :premises (@p796) :args ((or @t371 @t519 @t520 @t518 (not @t521)))) % 14.80/15.12 (step @p798 :rule chain_m_resolution :premises (@p797 @p507 @p795 @p780 @p770) :args (@t518 @t522 (@list @t371 @t515 @t520 @t521))) % 14.80/15.12 (step @p799 :rule cnf_equiv_pos2 :args (@t518)) % 14.80/15.12 (step @p800 :rule reordering :premises (@p799) :args ((or @t517 @t427 (not @t518)))) % 14.80/15.12 (step @p801 :rule chain_m_resolution :premises (@p800 @p592 @p798) :args (@t517 @t305 (@list @t422 @t518))) % 14.80/15.12 (step @p802 :rule trans :premises (@p349 @p345)) % 14.80/15.12 (step @p803 :rule true_elim :premises (@p802)) % 14.80/15.12 (step @p804 :rule instantiate :premises (@p769) :args ((@list @t508 @t273 @t251))) % 14.80/15.12 (step @p805 :rule cnf_or_pos :args (@t525)) % 14.80/15.12 (step @p806 :rule reordering :premises (@p805) :args ((or @t371 @t519 @t520 @t524 (not @t525)))) % 14.80/15.12 (step @p807 :rule chain_m_resolution :premises (@p806 @p507 @p795 @p780 @p804) :args (@t524 @t522 (@list @t371 @t515 @t520 @t525))) % 14.80/15.12 (step @p808 :rule cnf_equiv_pos2 :args (@t524)) % 14.80/15.12 (step @p809 :rule reordering :premises (@p808) :args ((or @t523 @t428 (not @t524)))) % 14.80/15.12 (step @p810 :rule chain_m_resolution :premises (@p809 @p598 @p807) :args (@t523 @t305 (@list @t424 @t524))) % 14.80/15.12 (step @p811 :rule trans :premises (@p595 @p593)) % 14.80/15.12 (step @p812 :rule true_elim :premises (@p811)) % 14.80/15.12 (step @p813 :rule cnf_or_pos :args (@t531)) % 14.80/15.12 (step @p814 :rule reordering :premises (@p813) :args ((or @t266 @t265 @t263 @t530 @t529 @t528 @t527 @t526 (not @t531)))) % 14.80/15.12 (step @p815 :rule chain_m_resolution :premises (@p814 @p213 @p211 @p205 @p812 @p810 @p803 @p801 @p740) :args (@t526 @t383 (@list @t266 @t264 @t262 @t423 @t523 @t319 @t517 @t531))) % 14.80/15.12 (assume-push @p842 @t309) % 14.80/15.12 (assume-push @p843 @t275) % 14.80/15.12 (assume-push @p844 @t526) % 14.80/15.12 (assume-push @p845 @t426) % 14.80/15.12 (step @p820 :rule symm :premises (@p601)) % 14.80/15.12 (step @p821 :rule symm :premises (@p815)) % 14.80/15.12 (step @p822 :rule cong :premises (@p216 @p594 @p348) :args (@t308)) % 14.80/15.12 (step @p823 :rule trans :premises (@p314 @p822 @p821 @p820)) % 14.80/15.12 (step-pop @p846 :rule scope :premises (@p823)) % 14.80/15.12 (step-pop @p847 :rule scope :premises (@p846)) % 14.80/15.12 (step-pop @p848 :rule scope :premises (@p847)) % 14.80/15.12 (step-pop @p849 :rule scope :premises (@p848)) % 14.80/15.12 (step @p824 :rule process_scope :premises (@p849) :args (@t256)) % 14.80/15.12 (step @p829 :rule implies_elim :premises (@p824)) % 14.80/15.12 (step @p830 :rule cnf_and_neg :args (@t532)) % 14.80/15.12 (step @p831 :rule resolution :premises (@p830 @p829) :args (true @t532)) % 14.80/15.12 (step @p832 :rule reordering :premises (@p831) :args ((or @t256 (not @t309) (not @t275) (not @t526) (not @t426)))) % 14.80/15.12 (step @p833 false :rule chain_m_resolution :premises (@p832 @p815 @p601 @p314 @p216 @p189) :args (false (@list false false false false true) (@list @t526 @t426 @t309 @t275 @t256))) % 14.80/15.12 ) % 14.80/15.12 % SZS output end Proof % 14.80/15.12 % cvc5 exiting %------------------------------------------------------------------------------