%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT339+1 : TPTP v9.2.1. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n014.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 08:30:23 AM UTC 2026 % Result : Theorem 2.93s 3.15s % Output : Proof 2.93s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT339+1 : TPTP v9.2.1. Released v3.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n014.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 06:37:28 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 2.93/3.15 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 2.93/3.15 % SZS status Theorem % 2.93/3.15 % SZS output start Proof % 2.93/3.15 ( % 2.93/3.15 (declare-sort $$unsorted 0) % 2.93/3.15 (declare-const tptp.r2_conlat_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.93/3.15 (declare-const tptp.r3_lattices (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.93/3.15 (declare-const tptp.v2_binop_1 (-> $$unsorted $$unsorted Bool)) % 2.93/3.15 (declare-const tptp.v1_binop_1 (-> $$unsorted $$unsorted Bool)) % 2.93/3.15 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 2.93/3.15 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 2.93/3.15 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.93/3.15 (declare-const tptp.l2_lattices (-> $$unsorted Bool)) % 2.93/3.15 (declare-const tptp.v6_lattices (-> $$unsorted Bool)) % 2.93/3.15 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 2.93/3.15 (declare-const tptp.u1_lattices (-> $$unsorted $$unsorted)) % 2.93/3.15 (declare-const tptp.l1_conlat_1 (-> $$unsorted Bool)) % 2.93/3.15 (declare-const tptp.l3_conlat_1 (-> $$unsorted $$unsorted Bool)) % 2.93/3.15 (declare-const tptp.k5_conlat_1 (-> $$unsorted $$unsorted)) % 2.93/3.15 (declare-const tptp.r3_lattice3 (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.93/3.15 (declare-const tptp.v6_conlat_1 (-> $$unsorted $$unsorted Bool)) % 2.93/3.15 (declare-const tptp.r1_lattices (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.93/3.15 (declare-const tptp.g3_conlat_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.93/3.15 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 2.93/3.15 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 2.93/3.15 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 2.93/3.15 (declare-const tptp.u4_conlat_1 (-> $$unsorted $$unsorted $$unsorted)) % 2.93/3.15 (declare-const tptp.u5_conlat_1 (-> $$unsorted $$unsorted $$unsorted)) % 2.93/3.15 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 2.93/3.15 (declare-const tptp.l3_lattices (-> $$unsorted Bool)) % 2.93/3.15 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 2.93/3.15 (declare-const tptp.v14_lattices (-> $$unsorted Bool)) % 2.93/3.15 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.93/3.15 (declare-const tptp.k11_conlat_1 (-> $$unsorted $$unsorted)) % 2.93/3.15 (declare-const tptp.v7_lattices (-> $$unsorted Bool)) % 2.93/3.15 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 2.93/3.15 (declare-const tptp.g3_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.93/3.15 (declare-const tptp.v8_lattices (-> $$unsorted Bool)) % 2.93/3.15 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.93/3.15 (declare-const tptp.k1_pre_topc (-> $$unsorted $$unsorted)) % 2.93/3.15 (declare-const tptp.k6_lattices (-> $$unsorted $$unsorted)) % 2.93/3.15 (declare-const tptp.v11_conlat_1 (-> $$unsorted $$unsorted Bool)) % 2.93/3.15 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 2.93/3.15 (declare-const tptp.v15_lattices (-> $$unsorted Bool)) % 2.93/3.15 (declare-const tptp.k1_xboole_0 $$unsorted) % 2.93/3.15 (declare-const tptp.v10_conlat_1 (-> $$unsorted $$unsorted Bool)) % 2.93/3.15 (declare-const tptp.k6_conlat_1 (-> $$unsorted $$unsorted)) % 2.93/3.15 (declare-const tptp.k3_conlat_2 (-> $$unsorted $$unsorted $$unsorted)) % 2.93/3.15 (declare-const tptp.v9_lattices (-> $$unsorted Bool)) % 2.93/3.15 (declare-const tptp.u2_lattices (-> $$unsorted $$unsorted)) % 2.93/3.15 (declare-const tptp.v5_lattices (-> $$unsorted Bool)) % 2.93/3.15 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 2.93/3.15 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 2.93/3.15 (declare-const tptp.v4_lattices (-> $$unsorted Bool)) % 2.93/3.15 (declare-const tptp.k2_conlat_2 (-> $$unsorted $$unsorted $$unsorted)) % 2.93/3.15 (declare-const tptp.k12_conlat_1 (-> $$unsorted $$unsorted $$unsorted)) % 2.93/3.15 (declare-const tptp.v3_lattices (-> $$unsorted Bool)) % 2.93/3.15 (declare-const tptp.v10_lattices (-> $$unsorted Bool)) % 2.93/3.15 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 2.93/3.15 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 2.93/3.15 (declare-const tptp.v8_conlat_1 (-> $$unsorted $$unsorted Bool)) % 2.93/3.15 (declare-const tptp.v13_lattices (-> $$unsorted Bool)) % 2.93/3.15 (declare-const tptp.v4_lattice3 (-> $$unsorted Bool)) % 2.93/3.15 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 2.93/3.15 (declare-const tptp.k1_conlat_2 (-> $$unsorted $$unsorted $$unsorted)) % 2.93/3.15 (declare-const tptp.v9_conlat_1 (-> $$unsorted $$unsorted Bool)) % 2.93/3.15 (declare-const tptp.v7_conlat_1 (-> $$unsorted $$unsorted Bool)) % 2.93/3.15 (declare-const tptp.a_2_1_lattice3 (-> $$unsorted $$unsorted $$unsorted)) % 2.93/3.15 (declare-const tptp.v3_conlat_1 (-> $$unsorted Bool)) % 2.93/3.15 (declare-const tptp.k15_lattice3 (-> $$unsorted $$unsorted $$unsorted)) % 2.93/3.15 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.93/3.15 (declare-const tptp.l2_conlat_1 (-> $$unsorted Bool)) % 2.93/3.15 (declare-const tptp.k16_lattice3 (-> $$unsorted $$unsorted $$unsorted)) % 2.93/3.15 (declare-const tptp.u2_conlat_1 (-> $$unsorted $$unsorted)) % 2.93/3.15 (declare-const tptp.u1_conlat_1 (-> $$unsorted $$unsorted)) % 2.93/3.15 (declare-const tptp.k5_lattices (-> $$unsorted $$unsorted)) % 2.93/3.15 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 2.93/3.15 (declare-const tptp.l1_lattices (-> $$unsorted Bool)) % 2.93/3.15 (define @t1 () (@var "A" $$unsorted)) % 2.93/3.15 (define @t2 () (tptp.k5_conlat_1 @t1)) % 2.93/3.15 (define @t3 () (tptp.k11_conlat_1 @t1)) % 2.93/3.15 (define @t4 () (tptp.k1_pre_topc @t3)) % 2.93/3.15 (define @t5 () (tptp.k6_conlat_1 @t1)) % 2.93/3.15 (define @t6 () (and (= (tptp.k3_conlat_2 @t1 @t4) @t5) (= (tptp.k2_conlat_2 @t1 @t4) @t2))) % 2.93/3.15 (define @t7 () (tptp.l2_conlat_1 @t1)) % 2.93/3.15 (define @t8 () (tptp.v3_conlat_1 @t1)) % 2.93/3.15 (define @t9 () (not @t8)) % 2.93/3.15 (define @t10 () (and @t9 @t7)) % 2.93/3.15 (define @t11 () (@list @t1)) % 2.93/3.15 (define @t12 () (forall @t11 (=> @t10 @t6))) % 2.93/3.15 (define @t13 () (not @t12)) % 2.93/3.15 (define @t14 () (tptp.u1_lattices @t1)) % 2.93/3.15 (define @t15 () (tptp.u2_lattices @t1)) % 2.93/3.15 (define @t16 () (tptp.u1_struct_0 @t1)) % 2.93/3.15 (define @t17 () (tptp.v3_lattices @t1)) % 2.93/3.15 (define @t18 () (tptp.l3_lattices @t1)) % 2.93/3.15 (define @t19 () (@var "B" $$unsorted)) % 2.93/3.15 (define @t20 () (tptp.u5_conlat_1 @t1 @t19)) % 2.93/3.15 (define @t21 () (tptp.u4_conlat_1 @t1 @t19)) % 2.93/3.15 (define @t22 () (tptp.v6_conlat_1 @t19 @t1)) % 2.93/3.15 (define @t23 () (tptp.l3_conlat_1 @t19 @t1)) % 2.93/3.15 (define @t24 () (tptp.l1_conlat_1 @t1)) % 2.93/3.15 (define @t25 () (and @t24 @t23)) % 2.93/3.15 (define @t26 () (@list @t1 @t19)) % 2.93/3.15 (define @t27 () (tptp.r2_hidden @t1 @t19)) % 2.93/3.15 (define @t28 () (@var "C" $$unsorted)) % 2.93/3.15 (define @t29 () (tptp.v1_funct_2 @t28 @t1 @t19)) % 2.93/3.15 (define @t30 () (tptp.v1_funct_1 @t28)) % 2.93/3.15 (define @t31 () (and @t30 @t29)) % 2.93/3.15 (define @t32 () (tptp.v1_partfun1 @t28 @t1 @t19)) % 2.93/3.15 (define @t33 () (tptp.m1_relset_1 @t28 @t1 @t19)) % 2.93/3.15 (define @t34 () (@list @t1 @t19 @t28)) % 2.93/3.15 (define @t35 () (tptp.v9_lattices @t1)) % 2.93/3.15 (define @t36 () (tptp.v8_lattices @t1)) % 2.93/3.15 (define @t37 () (tptp.v7_lattices @t1)) % 2.93/3.15 (define @t38 () (tptp.v6_lattices @t1)) % 2.93/3.15 (define @t39 () (tptp.v5_lattices @t1)) % 2.93/3.15 (define @t40 () (tptp.v4_lattices @t1)) % 2.93/3.15 (define @t41 () (tptp.v3_struct_0 @t1)) % 2.93/3.15 (define @t42 () (not @t41)) % 2.93/3.15 (define @t43 () (and @t42 @t40 @t39 @t38 @t37 @t36 @t35)) % 2.93/3.15 (define @t44 () (tptp.v10_lattices @t1)) % 2.93/3.15 (define @t45 () (and @t42 @t44)) % 2.93/3.15 (define @t46 () (tptp.v1_relat_1 @t28)) % 2.93/3.15 (define @t47 () (tptp.k2_zfmisc_1 @t1 @t19)) % 2.93/3.15 (define @t48 () (tptp.m1_subset_1 @t28 (tptp.k1_zfmisc_1 @t47))) % 2.93/3.15 (define @t49 () (tptp.v8_conlat_1 @t19 @t1)) % 2.93/3.15 (define @t50 () (@list @t19)) % 2.93/3.15 (define @t51 () (tptp.v15_lattices @t1)) % 2.93/3.15 (define @t52 () (and @t42 @t51)) % 2.93/3.15 (define @t53 () (tptp.v14_lattices @t1)) % 2.93/3.15 (define @t54 () (tptp.v13_lattices @t1)) % 2.93/3.15 (define @t55 () (and @t42 @t54 @t53)) % 2.93/3.15 (define @t56 () (@list @t28)) % 2.93/3.15 (define @t57 () (tptp.v1_xboole_0 @t19)) % 2.93/3.15 (define @t58 () (not @t57)) % 2.93/3.15 (define @t59 () (tptp.v1_xboole_0 @t28)) % 2.93/3.15 (define @t60 () (tptp.v1_xboole_0 @t1)) % 2.93/3.15 (define @t61 () (not @t60)) % 2.93/3.15 (define @t62 () (and @t61 @t58)) % 2.93/3.15 (define @t63 () (@var "D" $$unsorted)) % 2.93/3.15 (define @t64 () (tptp.r1_lattices @t1 @t19 @t63)) % 2.93/3.15 (define @t65 () (tptp.r2_hidden @t63 @t28)) % 2.93/3.15 (define @t66 () (=> @t65 @t64)) % 2.93/3.15 (define @t67 () (tptp.m1_subset_1 @t63 @t16)) % 2.93/3.15 (define @t68 () (@list @t63)) % 2.93/3.15 (define @t69 () (forall @t68 (=> @t67 @t66))) % 2.93/3.15 (define @t70 () (tptp.r3_lattice3 @t1 @t19 @t28)) % 2.93/3.15 (define @t71 () (= @t70 @t69)) % 2.93/3.15 (define @t72 () (forall @t56 @t71)) % 2.93/3.15 (define @t73 () (tptp.m1_subset_1 @t19 @t16)) % 2.93/3.15 (define @t74 () (=> @t73 @t72)) % 2.93/3.15 (define @t75 () (forall @t50 @t74)) % 2.93/3.15 (define @t76 () (and @t42 @t18)) % 2.93/3.15 (define @t77 () (=> @t76 @t75)) % 2.93/3.15 (define @t78 () (forall @t11 @t77)) % 2.93/3.15 (define @t79 () (tptp.k1_conlat_2 @t1 @t19)) % 2.93/3.15 (define @t80 () (tptp.v9_conlat_1 @t19 @t1)) % 2.93/3.15 (define @t81 () (tptp.v7_conlat_1 @t19 @t1)) % 2.93/3.15 (define @t82 () (not @t81)) % 2.93/3.15 (define @t83 () (tptp.k16_lattice3 @t1 @t19)) % 2.93/3.15 (define @t84 () (tptp.k12_conlat_1 @t1 @t19)) % 2.93/3.15 (define @t85 () (tptp.u1_struct_0 @t3)) % 2.93/3.15 (define @t86 () (tptp.m1_subset_1 @t19 @t85)) % 2.93/3.15 (define @t87 () (=> @t86 (= @t84 @t19))) % 2.93/3.15 (define @t88 () (forall @t50 @t87)) % 2.93/3.15 (define @t89 () (=> @t10 @t88)) % 2.93/3.15 (define @t90 () (forall @t11 @t89)) % 2.93/3.15 (define @t91 () (tptp.k2_conlat_2 @t1 @t19)) % 2.93/3.15 (define @t92 () (= @t91 (tptp.k16_lattice3 @t3 @t19))) % 2.93/3.15 (define @t93 () (tptp.k1_zfmisc_1 @t85)) % 2.93/3.15 (define @t94 () (tptp.m1_subset_1 @t19 @t93)) % 2.93/3.15 (define @t95 () (forall @t50 (=> @t94 @t92))) % 2.93/3.15 (define @t96 () (=> @t10 @t95)) % 2.93/3.15 (define @t97 () (forall @t11 @t96)) % 2.93/3.15 (define @t98 () (tptp.k3_conlat_2 @t1 @t19)) % 2.93/3.15 (define @t99 () (= @t98 (tptp.k15_lattice3 @t3 @t19))) % 2.93/3.15 (define @t100 () (forall @t50 (=> @t94 @t99))) % 2.93/3.15 (define @t101 () (=> @t10 @t100)) % 2.93/3.15 (define @t102 () (forall @t11 @t101)) % 2.93/3.15 (define @t103 () (tptp.g3_conlat_1 @t1 @t19 @t28)) % 2.93/3.15 (define @t104 () (tptp.u2_conlat_1 @t1)) % 2.93/3.15 (define @t105 () (tptp.k1_zfmisc_1 @t104)) % 2.93/3.15 (define @t106 () (tptp.u1_conlat_1 @t1)) % 2.93/3.15 (define @t107 () (tptp.k1_zfmisc_1 @t106)) % 2.93/3.15 (define @t108 () (tptp.m1_subset_1 @t19 @t107)) % 2.93/3.15 (define @t109 () (and @t24 @t108 (tptp.m1_subset_1 @t28 @t105))) % 2.93/3.15 (define @t110 () (tptp.g3_lattices @t1 @t19 @t28)) % 2.93/3.15 (define @t111 () (tptp.v3_lattices @t110)) % 2.93/3.15 (define @t112 () (tptp.k2_zfmisc_1 @t1 @t1)) % 2.93/3.15 (define @t113 () (tptp.m1_relset_1 @t28 @t112 @t1)) % 2.93/3.15 (define @t114 () (tptp.v1_funct_2 @t28 @t112 @t1)) % 2.93/3.15 (define @t115 () (tptp.m1_relset_1 @t19 @t112 @t1)) % 2.93/3.15 (define @t116 () (tptp.v1_funct_2 @t19 @t112 @t1)) % 2.93/3.15 (define @t117 () (tptp.v1_funct_1 @t19)) % 2.93/3.15 (define @t118 () (and @t117 @t116 @t115 @t30 @t114 @t113)) % 2.93/3.15 (define @t119 () (tptp.v3_lattices @t3)) % 2.93/3.15 (define @t120 () (not (tptp.v3_struct_0 @t3))) % 2.93/3.15 (define @t121 () (and @t120 @t119 (tptp.l3_lattices @t3))) % 2.93/3.15 (define @t122 () (forall @t11 (=> @t10 @t121))) % 2.93/3.15 (define @t123 () (and (tptp.v6_conlat_1 @t84 @t1) (not (tptp.v7_conlat_1 @t84 @t1)) (tptp.v9_conlat_1 @t84 @t1) (tptp.l3_conlat_1 @t84 @t1))) % 2.93/3.15 (define @t124 () (and @t9 @t7 @t86)) % 2.93/3.15 (define @t125 () (forall @t26 (=> @t124 @t123))) % 2.93/3.15 (define @t126 () (tptp.k1_zfmisc_1 @t16)) % 2.93/3.15 (define @t127 () (tptp.k1_pre_topc @t1)) % 2.93/3.15 (define @t128 () (tptp.m1_subset_1 @t127 @t126)) % 2.93/3.15 (define @t129 () (tptp.l1_struct_0 @t1)) % 2.93/3.15 (define @t130 () (forall @t11 (=> @t129 @t128))) % 2.93/3.15 (define @t131 () (and @t9 @t7 @t94)) % 2.93/3.15 (define @t132 () (tptp.k5_lattices @t1)) % 2.93/3.15 (define @t133 () (tptp.l1_lattices @t1)) % 2.93/3.15 (define @t134 () (tptp.m1_subset_1 (tptp.k6_lattices @t1) @t16)) % 2.93/3.15 (define @t135 () (tptp.l2_lattices @t1)) % 2.93/3.15 (define @t136 () (and @t42 @t135)) % 2.93/3.15 (define @t137 () (forall @t11 (=> @t136 @t134))) % 2.93/3.15 (define @t138 () (forall @t11 (=> @t133 @t129))) % 2.93/3.15 (define @t139 () (and @t133 @t135)) % 2.93/3.15 (define @t140 () (forall @t11 (=> @t18 @t139))) % 2.93/3.15 (define @t141 () (tptp.m2_relset_1 @t28 @t1 @t19)) % 2.93/3.15 (define @t142 () (tptp.k2_zfmisc_1 @t16 @t16)) % 2.93/3.15 (define @t143 () (tptp.v1_funct_2 @t14 @t142 @t16)) % 2.93/3.15 (define @t144 () (tptp.v1_funct_1 @t14)) % 2.93/3.15 (define @t145 () (tptp.v1_funct_2 @t15 @t142 @t16)) % 2.93/3.15 (define @t146 () (tptp.v1_funct_1 @t15)) % 2.93/3.15 (define @t147 () (and @t9 @t24)) % 2.93/3.15 (define @t148 () (tptp.v4_lattice3 @t3)) % 2.93/3.15 (define @t149 () (tptp.v10_lattices @t3)) % 2.93/3.15 (define @t150 () (tptp.v9_lattices @t3)) % 2.93/3.15 (define @t151 () (tptp.v8_lattices @t3)) % 2.93/3.15 (define @t152 () (tptp.v7_lattices @t3)) % 2.93/3.15 (define @t153 () (tptp.v6_lattices @t3)) % 2.93/3.15 (define @t154 () (tptp.v5_lattices @t3)) % 2.93/3.15 (define @t155 () (tptp.v4_lattices @t3)) % 2.93/3.15 (define @t156 () (and @t120 @t119 @t155 @t154 @t153 @t152 @t151 @t150 @t149 (tptp.v13_lattices @t3) (tptp.v14_lattices @t3) (tptp.v15_lattices @t3) @t148)) % 2.93/3.15 (define @t157 () (forall @t11 (=> @t10 @t156))) % 2.93/3.15 (define @t158 () (and (tptp.v1_xboole_0 @t127) (tptp.v1_membered @t127) (tptp.v2_membered @t127) (tptp.v3_membered @t127) (tptp.v4_membered @t127) (tptp.v5_membered @t127))) % 2.93/3.15 (define @t159 () (forall @t11 (=> @t129 @t158))) % 2.93/3.15 (define @t160 () (and @t42 @t129)) % 2.93/3.15 (define @t161 () (tptp.k1_zfmisc_1 @t1)) % 2.93/3.15 (define @t162 () (tptp.v1_partfun1 @t15 @t142 @t16)) % 2.93/3.15 (define @t163 () (tptp.v1_relat_1 @t15)) % 2.93/3.15 (define @t164 () (tptp.v1_partfun1 @t14 @t142 @t16)) % 2.93/3.15 (define @t165 () (tptp.v1_relat_1 @t14)) % 2.93/3.15 (define @t166 () (= @t1 @t63)) % 2.93/3.15 (define @t167 () (@var "F" $$unsorted)) % 2.93/3.15 (define @t168 () (@var "E" $$unsorted)) % 2.93/3.15 (define @t169 () (and @t166 (= @t19 @t168) (= @t28 @t167))) % 2.93/3.15 (define @t170 () (@list @t63 @t168 @t167)) % 2.93/3.15 (define @t171 () (tptp.m1_subset_1 @t19 @t161)) % 2.93/3.15 (define @t172 () (and @t42 @t38 @t36 @t35 @t18 @t73 (tptp.m1_subset_1 @t28 @t16))) % 2.93/3.15 (define @t173 () (tptp.k6_lattices @t3)) % 2.93/3.15 (define @t174 () (tptp.k5_lattices @t3)) % 2.93/3.15 (define @t175 () (and (= @t174 @t5) (= @t173 @t2))) % 2.93/3.15 (define @t176 () (=> @t10 @t175)) % 2.93/3.15 (define @t177 () (forall @t11 @t176)) % 2.93/3.15 (define @t178 () (tptp.m1_subset_1 @t1 @t19)) % 2.93/3.15 (define @t179 () (= @t1 @t19)) % 2.93/3.15 (define @t180 () (and (tptp.r2_conlat_1 @t1 @t19 @t2) (tptp.r2_conlat_1 @t1 @t5 @t19))) % 2.93/3.15 (define @t181 () (and @t82 @t80 @t23)) % 2.93/3.15 (define @t182 () (forall @t50 (=> @t181 @t180))) % 2.93/3.15 (define @t183 () (=> @t10 @t182)) % 2.93/3.15 (define @t184 () (forall @t11 @t183)) % 2.93/3.15 (define @t185 () (tptp.r3_lattices @t1 @t63 @t19)) % 2.93/3.15 (define @t186 () (tptp.r3_lattice3 @t1 @t63 @t28)) % 2.93/3.15 (define @t187 () (=> @t186 @t185)) % 2.93/3.15 (define @t188 () (forall @t68 (=> @t67 @t187))) % 2.93/3.15 (define @t189 () (and @t70 @t188)) % 2.93/3.15 (define @t190 () (= @t19 (tptp.k16_lattice3 @t1 @t28))) % 2.93/3.15 (define @t191 () (= @t190 @t189)) % 2.93/3.15 (define @t192 () (forall @t56 @t191)) % 2.93/3.15 (define @t193 () (=> @t73 @t192)) % 2.93/3.15 (define @t194 () (forall @t50 @t193)) % 2.93/3.15 (define @t195 () (tptp.v4_lattice3 @t1)) % 2.93/3.15 (define @t196 () (and @t42 @t44 @t195 @t18)) % 2.93/3.15 (define @t197 () (=> @t196 @t194)) % 2.93/3.15 (define @t198 () (forall @t11 @t197)) % 2.93/3.15 (define @t199 () (= (tptp.r3_lattices @t3 @t19 @t28) (tptp.r2_conlat_1 @t1 @t84 (tptp.k12_conlat_1 @t1 @t28)))) % 2.93/3.15 (define @t200 () (tptp.m1_subset_1 @t28 @t85)) % 2.93/3.15 (define @t201 () (forall @t56 (=> @t200 @t199))) % 2.93/3.15 (define @t202 () (=> @t86 @t201)) % 2.93/3.15 (define @t203 () (forall @t50 @t202)) % 2.93/3.15 (define @t204 () (=> @t10 @t203)) % 2.93/3.15 (define @t205 () (forall @t11 @t204)) % 2.93/3.15 (define @t206 () (tptp.m1_subset_1 @t19 (tptp.k1_zfmisc_1 @t28))) % 2.93/3.15 (define @t207 () (and @t42 @t44 @t54 @t18 (= @t132 (tptp.k15_lattice3 @t1 tptp.k1_xboole_0)))) % 2.93/3.15 (define @t208 () (forall @t11 (=> @t196 @t207))) % 2.93/3.15 (define @t209 () (= @t1 tptp.k1_xboole_0)) % 2.93/3.15 (define @t210 () (forall @t11 (=> @t60 @t209))) % 2.93/3.15 (define @t211 () (forall @t26 (not (and @t27 @t57)))) % 2.93/3.15 (define @t212 () (and (= @t5 @t174) (= @t2 @t173))) % 2.93/3.15 (define @t213 () (not @t7)) % 2.93/3.15 (define @t214 () (or @t8 @t213)) % 2.93/3.15 (define @t215 () (not @t9)) % 2.93/3.15 (define @t216 () (not @t10)) % 2.93/3.15 (define @t217 () (or @t8 @t213 @t6)) % 2.93/3.15 (define @t218 () (@quantifiers_skolemize (forall @t11 @t217) 0)) % 2.93/3.15 (define @t219 () (@list @t218)) % 2.93/3.15 (define @t220 () (tptp.l2_conlat_1 @t218)) % 2.93/3.15 (define @t221 () (tptp.k5_conlat_1 @t218)) % 2.93/3.15 (define @t222 () (tptp.k11_conlat_1 @t218)) % 2.93/3.15 (define @t223 () (tptp.k1_pre_topc @t222)) % 2.93/3.15 (define @t224 () (tptp.k2_conlat_2 @t218 @t223)) % 2.93/3.15 (define @t225 () (= @t224 @t221)) % 2.93/3.15 (define @t226 () (tptp.k6_conlat_1 @t218)) % 2.93/3.15 (define @t227 () (tptp.k3_conlat_2 @t218 @t223)) % 2.93/3.15 (define @t228 () (= @t227 @t226)) % 2.93/3.15 (define @t229 () (and @t228 @t225)) % 2.93/3.15 (define @t230 () (not @t220)) % 2.93/3.15 (define @t231 () (tptp.v3_conlat_1 @t218)) % 2.93/3.15 (define @t232 () (or @t231 @t230 @t229)) % 2.93/3.15 (define @t233 () (@list true)) % 2.93/3.15 (define @t234 () (@list @t232)) % 2.93/3.15 (define @t235 () (tptp.k6_lattices @t222)) % 2.93/3.15 (define @t236 () (= @t221 @t235)) % 2.93/3.15 (define @t237 () (tptp.k5_lattices @t222)) % 2.93/3.15 (define @t238 () (= @t226 @t237)) % 2.93/3.15 (define @t239 () (and @t238 @t236)) % 2.93/3.15 (define @t240 () (or @t231 @t230 @t239)) % 2.93/3.15 (define @t241 () (@list true false false)) % 2.93/3.15 (define @t242 () (not @t239)) % 2.93/3.15 (define @t243 () (@list false)) % 2.93/3.15 (define @t244 () (@list @t239)) % 2.93/3.15 (define @t245 () (@var "BOUND_VARIABLE_8345" $$unsorted)) % 2.93/3.15 (define @t246 () (= @t245 (tptp.k12_conlat_1 @t1 @t245))) % 2.93/3.15 (define @t247 () (not (tptp.m1_subset_1 @t245 @t85))) % 2.93/3.15 (define @t248 () (or @t247 @t246)) % 2.93/3.15 (define @t249 () (or @t8 @t213 @t248)) % 2.93/3.15 (define @t250 () (forall (@list @t1 @t245) @t249)) % 2.93/3.15 (define @t251 () (@list @t245)) % 2.93/3.15 (define @t252 () (forall @t251 @t249)) % 2.93/3.15 (define @t253 () (forall @t251 @t248)) % 2.93/3.15 (define @t254 () (@list @t19)) % 2.93/3.15 (define @t255 () (or @t8 @t213 @t253)) % 2.93/3.15 (define @t256 () (= @t19 @t84)) % 2.93/3.15 (define @t257 () (not @t86)) % 2.93/3.15 (define @t258 () (forall @t50 (or @t257 @t256))) % 2.93/3.15 (define @t259 () (or @t8 @t213 @t258)) % 2.93/3.15 (define @t260 () (not @t135)) % 2.93/3.15 (define @t261 () (not @t42)) % 2.93/3.15 (define @t262 () (@list @t222)) % 2.93/3.15 (define @t263 () (tptp.l3_lattices @t222)) % 2.93/3.15 (define @t264 () (tptp.v3_lattices @t222)) % 2.93/3.15 (define @t265 () (tptp.v3_struct_0 @t222)) % 2.93/3.15 (define @t266 () (not @t265)) % 2.93/3.15 (define @t267 () (and @t266 @t264 @t263)) % 2.93/3.15 (define @t268 () (or @t231 @t230 @t267)) % 2.93/3.15 (define @t269 () (not @t267)) % 2.93/3.15 (define @t270 () (@list @t267)) % 2.93/3.15 (define @t271 () (tptp.l2_lattices @t222)) % 2.93/3.15 (define @t272 () (tptp.l1_lattices @t222)) % 2.93/3.15 (define @t273 () (and @t272 @t271)) % 2.93/3.15 (define @t274 () (not @t263)) % 2.93/3.15 (define @t275 () (or @t274 @t273)) % 2.93/3.15 (define @t276 () (@list false false)) % 2.93/3.15 (define @t277 () (not @t273)) % 2.93/3.15 (define @t278 () (@list @t273)) % 2.93/3.15 (define @t279 () (tptp.u1_struct_0 @t222)) % 2.93/3.15 (define @t280 () (tptp.m1_subset_1 @t235 @t279)) % 2.93/3.15 (define @t281 () (not @t271)) % 2.93/3.15 (define @t282 () (or @t265 @t281 @t280)) % 2.93/3.15 (define @t283 () (tptp.k12_conlat_1 @t218 @t235)) % 2.93/3.15 (define @t284 () (= @t235 @t283)) % 2.93/3.15 (define @t285 () (not @t280)) % 2.93/3.15 (define @t286 () (or @t231 @t230 @t285 @t284)) % 2.93/3.15 (define @t287 () (@list true false false false)) % 2.93/3.15 (define @t288 () (@var "BOUND_VARIABLE_9003" $$unsorted)) % 2.93/3.15 (define @t289 () (@var "BOUND_VARIABLE_9001" $$unsorted)) % 2.93/3.15 (define @t290 () (= (tptp.r3_lattices @t3 @t289 @t288) (tptp.r2_conlat_1 @t1 (tptp.k12_conlat_1 @t1 @t289) (tptp.k12_conlat_1 @t1 @t288)))) % 2.93/3.15 (define @t291 () (not (tptp.m1_subset_1 @t288 @t85))) % 2.93/3.15 (define @t292 () (not (tptp.m1_subset_1 @t289 @t85))) % 2.93/3.15 (define @t293 () (or @t292 @t291 @t290)) % 2.93/3.15 (define @t294 () (or @t8 @t213 @t293)) % 2.93/3.15 (define @t295 () (forall (@list @t1 @t289 @t288) @t294)) % 2.93/3.15 (define @t296 () (@list @t289 @t288)) % 2.93/3.15 (define @t297 () (forall @t296 @t294)) % 2.93/3.15 (define @t298 () (forall @t296 @t293)) % 2.93/3.15 (define @t299 () (@var "BOUND_VARIABLE_8983" $$unsorted)) % 2.93/3.15 (define @t300 () (or @t8 @t213 @t298)) % 2.93/3.15 (define @t301 () (= (tptp.r3_lattices @t3 @t19 @t299) (tptp.r2_conlat_1 @t1 @t84 (tptp.k12_conlat_1 @t1 @t299)))) % 2.93/3.15 (define @t302 () (not (tptp.m1_subset_1 @t299 @t85))) % 2.93/3.15 (define @t303 () (or @t257 @t302 @t301)) % 2.93/3.15 (define @t304 () (@list @t19 @t299)) % 2.93/3.15 (define @t305 () (forall @t304 @t303)) % 2.93/3.15 (define @t306 () (or @t8 @t213 @t305)) % 2.93/3.15 (define @t307 () (or @t302 @t301)) % 2.93/3.15 (define @t308 () (or @t257 @t307)) % 2.93/3.15 (define @t309 () (forall @t304 @t308)) % 2.93/3.15 (define @t310 () (@list @t299)) % 2.93/3.15 (define @t311 () (forall @t310 @t308)) % 2.93/3.15 (define @t312 () (forall @t310 @t307)) % 2.93/3.15 (define @t313 () (@list @t28)) % 2.93/3.15 (define @t314 () (or @t257 @t312)) % 2.93/3.15 (define @t315 () (forall @t56 (or (not @t200) @t199))) % 2.93/3.15 (define @t316 () (not (tptp.m1_subset_1 @t63 @t279))) % 2.93/3.15 (define @t317 () (forall @t68 (or @t316 (not (tptp.r3_lattice3 @t222 @t63 @t223)) (tptp.r3_lattices @t222 @t63 @t235)))) % 2.93/3.15 (define @t318 () (@quantifiers_skolemize @t317 0)) % 2.93/3.15 (define @t319 () (@var "BOUND_VARIABLE_8273" $$unsorted)) % 2.93/3.15 (define @t320 () (@var "BOUND_VARIABLE_8275" $$unsorted)) % 2.93/3.15 (define @t321 () (not @t67)) % 2.93/3.15 (define @t322 () (= (tptp.r3_lattice3 @t1 @t319 @t320) (forall @t68 (or @t321 (not (tptp.r2_hidden @t63 @t320)) (tptp.r1_lattices @t1 @t319 @t63))))) % 2.93/3.15 (define @t323 () (not (tptp.m1_subset_1 @t319 @t16))) % 2.93/3.15 (define @t324 () (not @t18)) % 2.93/3.15 (define @t325 () (or @t323 @t322)) % 2.93/3.15 (define @t326 () (or @t41 @t324 @t325)) % 2.93/3.15 (define @t327 () (forall (@list @t1 @t319 @t320) @t326)) % 2.93/3.15 (define @t328 () (@list @t319 @t320)) % 2.93/3.15 (define @t329 () (forall @t328 @t326)) % 2.93/3.15 (define @t330 () (forall @t328 @t325)) % 2.93/3.15 (define @t331 () (@var "BOUND_VARIABLE_8256" $$unsorted)) % 2.93/3.15 (define @t332 () (or @t41 @t324 @t330)) % 2.93/3.15 (define @t333 () (= (tptp.r3_lattice3 @t1 @t19 @t331) (forall @t68 (or @t321 (not (tptp.r2_hidden @t63 @t331)) @t64)))) % 2.93/3.15 (define @t334 () (not @t73)) % 2.93/3.15 (define @t335 () (or @t334 @t333)) % 2.93/3.15 (define @t336 () (forall (@list @t19 @t331) @t335)) % 2.93/3.15 (define @t337 () (or @t41 @t324 @t336)) % 2.93/3.15 (define @t338 () (@list @t331)) % 2.93/3.15 (define @t339 () (forall @t338 @t335)) % 2.93/3.15 (define @t340 () (forall @t338 @t333)) % 2.93/3.15 (define @t341 () (or @t334 @t340)) % 2.93/3.15 (define @t342 () (not @t65)) % 2.93/3.15 (define @t343 () (or @t321 @t342 @t64)) % 2.93/3.15 (define @t344 () (forall @t56 (= @t70 (forall @t68 @t343)))) % 2.93/3.15 (define @t345 () (@list @t222 @t235 @t223)) % 2.93/3.15 (define @t346 () (forall @t68 (or @t316 (not (tptp.r2_hidden @t63 @t223)) (tptp.r1_lattices @t222 @t235 @t63)))) % 2.93/3.15 (define @t347 () (tptp.r3_lattice3 @t222 @t235 @t223)) % 2.93/3.15 (define @t348 () (= @t347 @t346)) % 2.93/3.15 (define @t349 () (or @t265 @t274 @t285 @t348)) % 2.93/3.15 (define @t350 () (@quantifiers_skolemize @t346 0)) % 2.93/3.15 (define @t351 () (tptp.l1_struct_0 @t222)) % 2.93/3.15 (define @t352 () (not @t272)) % 2.93/3.15 (define @t353 () (or @t352 @t351)) % 2.93/3.15 (define @t354 () (tptp.v1_xboole_0 @t223)) % 2.93/3.15 (define @t355 () (and @t354 (tptp.v1_membered @t223) (tptp.v2_membered @t223) (tptp.v3_membered @t223) (tptp.v4_membered @t223) (tptp.v5_membered @t223))) % 2.93/3.15 (define @t356 () (not @t351)) % 2.93/3.15 (define @t357 () (or @t356 @t355)) % 2.93/3.15 (define @t358 () (not @t354)) % 2.93/3.15 (define @t359 () (tptp.r2_hidden @t350 @t223)) % 2.93/3.15 (define @t360 () (not @t359)) % 2.93/3.15 (define @t361 () (or @t360 @t358)) % 2.93/3.15 (define @t362 () (or (not (tptp.m1_subset_1 @t350 @t279)) @t360 (tptp.r1_lattices @t222 @t235 @t350))) % 2.93/3.15 (define @t363 () (not @t362)) % 2.93/3.15 (define @t364 () (not @t346)) % 2.93/3.15 (define @t365 () (@var "BOUND_VARIABLE_8953" $$unsorted)) % 2.93/3.15 (define @t366 () (@var "BOUND_VARIABLE_8955" $$unsorted)) % 2.93/3.15 (define @t367 () (= (= @t365 (tptp.k16_lattice3 @t1 @t366)) (and (tptp.r3_lattice3 @t1 @t365 @t366) (forall @t68 (or @t321 (not (tptp.r3_lattice3 @t1 @t63 @t366)) (tptp.r3_lattices @t1 @t63 @t365)))))) % 2.93/3.15 (define @t368 () (not (tptp.m1_subset_1 @t365 @t16))) % 2.93/3.15 (define @t369 () (not @t195)) % 2.93/3.15 (define @t370 () (not @t44)) % 2.93/3.15 (define @t371 () (or @t41 @t370 @t369 @t324 @t368 @t367)) % 2.93/3.15 (define @t372 () (or @t368 @t367)) % 2.93/3.15 (define @t373 () (or @t41 @t370 @t369 @t324 @t372)) % 2.93/3.15 (define @t374 () (@list @t1 @t365 @t366)) % 2.93/3.15 (define @t375 () (forall @t374 @t373)) % 2.93/3.15 (define @t376 () (@list @t365 @t366)) % 2.93/3.15 (define @t377 () (forall @t376 @t373)) % 2.93/3.15 (define @t378 () (forall @t376 @t372)) % 2.93/3.15 (define @t379 () (@var "BOUND_VARIABLE_8932" $$unsorted)) % 2.93/3.15 (define @t380 () (or @t41 @t370 @t369 @t324 @t378)) % 2.93/3.15 (define @t381 () (= (= @t19 (tptp.k16_lattice3 @t1 @t379)) (and (tptp.r3_lattice3 @t1 @t19 @t379) (forall @t68 (or @t321 (not (tptp.r3_lattice3 @t1 @t63 @t379)) @t185))))) % 2.93/3.15 (define @t382 () (or @t334 @t381)) % 2.93/3.15 (define @t383 () (forall (@list @t19 @t379) @t382)) % 2.93/3.15 (define @t384 () (or @t41 @t370 @t369 @t324 @t383)) % 2.93/3.15 (define @t385 () (or @t41 @t370 @t369 @t324)) % 2.93/3.15 (define @t386 () (or @t261 @t370 @t369 @t324)) % 2.93/3.15 (define @t387 () (not @t196)) % 2.93/3.15 (define @t388 () (@list @t379)) % 2.93/3.15 (define @t389 () (forall @t388 @t382)) % 2.93/3.15 (define @t390 () (forall @t388 @t381)) % 2.93/3.15 (define @t391 () (or @t334 @t390)) % 2.93/3.15 (define @t392 () (not @t186)) % 2.93/3.15 (define @t393 () (or @t321 @t392 @t185)) % 2.93/3.15 (define @t394 () (forall @t56 (= @t190 (and @t70 (forall @t68 @t393))))) % 2.93/3.15 (define @t395 () (tptp.k16_lattice3 @t222 @t223)) % 2.93/3.15 (define @t396 () (= @t395 @t235)) % 2.93/3.15 (define @t397 () (and @t347 @t317)) % 2.93/3.15 (define @t398 () (= (= @t235 @t395) @t397)) % 2.93/3.15 (define @t399 () (tptp.v4_lattice3 @t222)) % 2.93/3.15 (define @t400 () (not @t399)) % 2.93/3.15 (define @t401 () (tptp.v10_lattices @t222)) % 2.93/3.15 (define @t402 () (not @t401)) % 2.93/3.15 (define @t403 () (or @t265 @t402 @t400 @t274 @t285 @t398)) % 2.93/3.15 (define @t404 () (forall @t374 @t371)) % 2.93/3.15 (define @t405 () (= @t397 @t396)) % 2.93/3.15 (define @t406 () (or @t265 @t402 @t400 @t274 @t285 @t405)) % 2.93/3.15 (define @t407 () (tptp.v13_lattices @t222)) % 2.93/3.15 (define @t408 () (and @t266 @t264 (tptp.v4_lattices @t222) (tptp.v5_lattices @t222) (tptp.v6_lattices @t222) (tptp.v7_lattices @t222) (tptp.v8_lattices @t222) (tptp.v9_lattices @t222) @t401 @t407 (tptp.v14_lattices @t222) (tptp.v15_lattices @t222) @t399)) % 2.93/3.15 (define @t409 () (or @t231 @t230 @t408)) % 2.93/3.15 (define @t410 () (not @t408)) % 2.93/3.15 (define @t411 () (@list @t408)) % 2.93/3.15 (define @t412 () (= @t237 (tptp.k15_lattice3 @t222 tptp.k1_xboole_0))) % 2.93/3.15 (define @t413 () (and @t266 @t401 @t407 @t263 @t412)) % 2.93/3.15 (define @t414 () (or @t265 @t402 @t400 @t274 @t413)) % 2.93/3.15 (define @t415 () (@list true false false false false)) % 2.93/3.15 (define @t416 () (or @t358 (= @t223 tptp.k1_xboole_0))) % 2.93/3.15 (define @t417 () (forall @t11 (or @t61 @t209))) % 2.93/3.15 (define @t418 () (= tptp.k1_xboole_0 @t223)) % 2.93/3.15 (define @t419 () (or @t358 @t418)) % 2.93/3.15 (define @t420 () (tptp.k15_lattice3 @t222 @t223)) % 2.93/3.15 (define @t421 () (@var "BOUND_VARIABLE_8385" $$unsorted)) % 2.93/3.15 (define @t422 () (= (tptp.k3_conlat_2 @t1 @t421) (tptp.k15_lattice3 @t3 @t421))) % 2.93/3.15 (define @t423 () (not (tptp.m1_subset_1 @t421 @t93))) % 2.93/3.15 (define @t424 () (or @t423 @t422)) % 2.93/3.15 (define @t425 () (or @t8 @t213 @t424)) % 2.93/3.15 (define @t426 () (forall (@list @t1 @t421) @t425)) % 2.93/3.15 (define @t427 () (@list @t421)) % 2.93/3.15 (define @t428 () (forall @t427 @t425)) % 2.93/3.15 (define @t429 () (forall @t427 @t424)) % 2.93/3.15 (define @t430 () (or @t8 @t213 @t429)) % 2.93/3.15 (define @t431 () (not @t94)) % 2.93/3.15 (define @t432 () (forall @t50 (or @t431 @t99))) % 2.93/3.15 (define @t433 () (or @t8 @t213 @t432)) % 2.93/3.15 (define @t434 () (@list @t218 @t223)) % 2.93/3.15 (define @t435 () (tptp.m1_subset_1 @t223 (tptp.k1_zfmisc_1 @t279))) % 2.93/3.15 (define @t436 () (or @t356 @t435)) % 2.93/3.15 (define @t437 () (= @t227 @t420)) % 2.93/3.15 (define @t438 () (not @t435)) % 2.93/3.15 (define @t439 () (or @t231 @t230 @t438 @t437)) % 2.93/3.15 (define @t440 () (@list true false)) % 2.93/3.15 (define @t441 () (@var "BOUND_VARIABLE_8365" $$unsorted)) % 2.93/3.15 (define @t442 () (= (tptp.k2_conlat_2 @t1 @t441) (tptp.k16_lattice3 @t3 @t441))) % 2.93/3.15 (define @t443 () (not (tptp.m1_subset_1 @t441 @t93))) % 2.93/3.15 (define @t444 () (or @t443 @t442)) % 2.93/3.15 (define @t445 () (or @t8 @t213 @t444)) % 2.93/3.15 (define @t446 () (forall (@list @t1 @t441) @t445)) % 2.93/3.15 (define @t447 () (@list @t441)) % 2.93/3.15 (define @t448 () (forall @t447 @t445)) % 2.93/3.15 (define @t449 () (forall @t447 @t444)) % 2.93/3.15 (define @t450 () (or @t8 @t213 @t449)) % 2.93/3.15 (define @t451 () (forall @t50 (or @t431 @t92))) % 2.93/3.15 (define @t452 () (or @t8 @t213 @t451)) % 2.93/3.15 (define @t453 () (= @t224 @t395)) % 2.93/3.15 (define @t454 () (or @t231 @t230 @t438 @t453)) % 2.93/3.15 (define @t455 () (not @t397)) % 2.93/3.15 (define @t456 () (not @t317)) % 2.93/3.15 (define @t457 () (tptp.r3_lattices @t222 @t318 @t235)) % 2.93/3.15 (define @t458 () (tptp.m1_subset_1 @t318 @t279)) % 2.93/3.15 (define @t459 () (not @t458)) % 2.93/3.15 (define @t460 () (or @t459 (not (tptp.r3_lattice3 @t222 @t318 @t223)) @t457)) % 2.93/3.15 (define @t461 () (not @t460)) % 2.93/3.15 (define @t462 () (@list @t460)) % 2.93/3.15 (define @t463 () (tptp.k12_conlat_1 @t218 @t318)) % 2.93/3.15 (define @t464 () (tptp.r2_conlat_1 @t218 @t463 @t283)) % 2.93/3.15 (define @t465 () (= @t457 @t464)) % 2.93/3.15 (define @t466 () (or @t231 @t230 @t459 @t285 @t465)) % 2.93/3.15 (define @t467 () (not @t464)) % 2.93/3.15 (define @t468 () (@var "BOUND_VARIABLE_8904" $$unsorted)) % 2.93/3.15 (define @t469 () (and (tptp.r2_conlat_1 @t1 @t468 @t2) (tptp.r2_conlat_1 @t1 @t5 @t468))) % 2.93/3.15 (define @t470 () (not (tptp.l3_conlat_1 @t468 @t1))) % 2.93/3.15 (define @t471 () (not (tptp.v9_conlat_1 @t468 @t1))) % 2.93/3.15 (define @t472 () (tptp.v7_conlat_1 @t468 @t1)) % 2.93/3.15 (define @t473 () (or @t472 @t471 @t470 @t469)) % 2.93/3.15 (define @t474 () (or @t8 @t213 @t473)) % 2.93/3.15 (define @t475 () (forall (@list @t1 @t468) @t474)) % 2.93/3.15 (define @t476 () (@list @t468)) % 2.93/3.15 (define @t477 () (forall @t476 @t474)) % 2.93/3.15 (define @t478 () (forall @t476 @t473)) % 2.93/3.15 (define @t479 () (or @t8 @t213 @t478)) % 2.93/3.15 (define @t480 () (not @t23)) % 2.93/3.15 (define @t481 () (not @t80)) % 2.93/3.15 (define @t482 () (or @t81 @t481 @t480 @t180)) % 2.93/3.15 (define @t483 () (forall @t50 @t482)) % 2.93/3.15 (define @t484 () (or @t8 @t213 @t483)) % 2.93/3.15 (define @t485 () (not @t82)) % 2.93/3.15 (define @t486 () (or @t485 @t481 @t480)) % 2.93/3.15 (define @t487 () (or @t215 @t213 @t257)) % 2.93/3.15 (define @t488 () (tptp.l3_conlat_1 @t463 @t218)) % 2.93/3.15 (define @t489 () (tptp.v9_conlat_1 @t463 @t218)) % 2.93/3.15 (define @t490 () (tptp.v7_conlat_1 @t463 @t218)) % 2.93/3.15 (define @t491 () (not @t490)) % 2.93/3.15 (define @t492 () (and (tptp.v6_conlat_1 @t463 @t218) @t491 @t489 @t488)) % 2.93/3.15 (define @t493 () (or @t231 @t230 @t459 @t492)) % 2.93/3.15 (define @t494 () (not @t492)) % 2.93/3.15 (define @t495 () (@list @t492)) % 2.93/3.15 (define @t496 () (tptp.r2_conlat_1 @t218 @t463 @t221)) % 2.93/3.15 (define @t497 () (and @t496 (tptp.r2_conlat_1 @t218 @t226 @t463))) % 2.93/3.15 (define @t498 () (not @t488)) % 2.93/3.15 (define @t499 () (not @t489)) % 2.93/3.15 (define @t500 () (or @t231 @t230 @t490 @t499 @t498 @t497)) % 2.93/3.15 (define @t501 () (not @t496)) % 2.93/3.15 (define @t502 () (not @t284)) % 2.93/3.15 (define @t503 () (not @t236)) % 2.93/3.15 (define @t504 () (and @t236 @t284 @t467)) % 2.93/3.15 (assume @p1 @t13) % 2.93/3.15 (assume @p2 (forall @t11 (=> @t18 (=> @t17 (= @t1 (tptp.g3_lattices @t16 @t15 @t14)))))) % 2.93/3.15 (assume @p3 (forall @t26 (=> @t25 (=> @t22 (= @t19 (tptp.g3_conlat_1 @t1 @t21 @t20)))))) % 2.93/3.15 (assume @p4 (forall @t26 (=> @t27 (not (tptp.r2_hidden @t19 @t1))))) % 2.93/3.15 (assume @p5 (forall @t34 (=> @t33 (=> (and @t30 @t32) @t31)))) % 2.93/3.15 (assume @p6 (forall @t11 (=> @t18 (=> @t45 @t43)))) % 2.93/3.15 (assume @p7 (forall @t34 (=> @t48 @t46))) % 2.93/3.15 (assume @p8 (forall @t11 (=> (and @t8 @t24) (forall @t50 (=> @t23 @t49))))) % 2.93/3.15 (assume @p9 (forall @t11 (=> @t18 (=> @t43 @t45)))) % 2.93/3.15 (assume @p10 (forall @t11 (=> @t18 (=> @t55 @t52)))) % 2.93/3.15 (assume @p11 (forall @t11 (=> @t18 (=> @t52 @t55)))) % 2.93/3.15 (assume @p12 (forall @t26 (=> @t58 (forall @t56 (=> @t33 (=> @t31 (and @t30 @t32 @t29))))))) % 2.93/3.15 (assume @p13 (forall @t26 (=> @t62 (forall @t56 (=> @t33 (=> @t31 (and @t30 (not @t59) @t32 @t29))))))) % 2.93/3.15 (assume @p14 @t78) % 2.93/3.15 (assume @p15 (forall @t11 (=> @t10 (forall @t50 (=> (and @t22 @t82 @t80 @t23) (= @t79 @t19)))))) % 2.93/3.15 (assume @p16 (forall @t11 (=> @t76 (forall @t50 (= @t83 (tptp.k15_lattice3 @t1 (tptp.a_2_1_lattice3 @t1 @t19))))))) % 2.93/3.15 (assume @p17 @t90) % 2.93/3.15 (assume @p18 @t97) % 2.93/3.15 (assume @p19 @t102) % 2.93/3.15 (assume @p20 (forall @t34 (=> @t109 (and (tptp.v6_conlat_1 @t103 @t1) (tptp.l3_conlat_1 @t103 @t1))))) % 2.93/3.15 (assume @p21 (forall @t34 (=> @t118 (and @t111 (tptp.l3_lattices @t110))))) % 2.93/3.15 (assume @p22 @t122) % 2.93/3.15 (assume @p23 @t125) % 2.93/3.15 (assume @p24 (forall @t26 (=> @t76 (tptp.m1_subset_1 (tptp.k15_lattice3 @t1 @t19) @t16)))) % 2.93/3.15 (assume @p25 (forall @t26 (=> @t76 (tptp.m1_subset_1 @t83 @t16)))) % 2.93/3.15 (assume @p26 (forall @t26 (=> (and @t9 @t7 @t22 @t82 @t80 @t23) (tptp.m1_subset_1 @t79 @t85)))) % 2.93/3.15 (assume @p27 @t130) % 2.93/3.15 (assume @p28 true) % 2.93/3.15 (assume @p29 (forall @t26 (=> @t131 (and (not (tptp.v7_conlat_1 @t91 @t1)) (tptp.v9_conlat_1 @t91 @t1) (tptp.l3_conlat_1 @t91 @t1))))) % 2.93/3.15 (assume @p30 (forall @t26 (=> @t131 (and (not (tptp.v7_conlat_1 @t98 @t1)) (tptp.v9_conlat_1 @t98 @t1) (tptp.l3_conlat_1 @t98 @t1))))) % 2.93/3.15 (assume @p31 (forall @t11 (=> @t10 (and (tptp.v6_conlat_1 @t2 @t1) (not (tptp.v7_conlat_1 @t2 @t1)) (tptp.v9_conlat_1 @t2 @t1) (tptp.v10_conlat_1 @t2 @t1) (tptp.l3_conlat_1 @t2 @t1))))) % 2.93/3.15 (assume @p32 (forall @t11 (=> (and @t42 @t133) (tptp.m1_subset_1 @t132 @t16)))) % 2.93/3.15 (assume @p33 (forall @t11 (=> @t10 (and (tptp.v6_conlat_1 @t5 @t1) (not (tptp.v7_conlat_1 @t5 @t1)) (tptp.v9_conlat_1 @t5 @t1) (tptp.v11_conlat_1 @t5 @t1) (tptp.l3_conlat_1 @t5 @t1))))) % 2.93/3.15 (assume @p34 @t137) % 2.93/3.15 (assume @p35 @t138) % 2.93/3.15 (assume @p36 (forall @t11 (=> @t7 @t24))) % 2.93/3.15 (assume @p37 (forall @t11 (=> @t135 @t129))) % 2.93/3.15 (assume @p38 @t140) % 2.93/3.15 (assume @p39 (forall @t34 (=> @t141 @t48))) % 2.93/3.15 (assume @p40 (forall @t11 (=> @t133 (and @t144 @t143 (tptp.m2_relset_1 @t14 @t142 @t16))))) % 2.93/3.15 (assume @p41 (forall @t11 (=> @t135 (and @t146 @t145 (tptp.m2_relset_1 @t15 @t142 @t16))))) % 2.93/3.15 (assume @p42 (forall @t26 (=> @t25 (tptp.m1_subset_1 @t21 @t107)))) % 2.93/3.15 (assume @p43 (forall @t26 (=> @t25 (tptp.m1_subset_1 @t20 @t105)))) % 2.93/3.15 (assume @p44 (exists @t11 @t24)) % 2.93/3.15 (assume @p45 (exists @t11 @t133)) % 2.93/3.15 (assume @p46 (exists @t11 @t129)) % 2.93/3.15 (assume @p47 (exists @t11 @t7)) % 2.93/3.15 (assume @p48 (exists @t11 @t135)) % 2.93/3.15 (assume @p49 (forall @t11 (=> @t24 (exists @t50 @t23)))) % 2.93/3.15 (assume @p50 (exists @t11 @t18)) % 2.93/3.15 (assume @p51 (forall @t26 (exists @t56 @t33))) % 2.93/3.15 (assume @p52 (forall @t11 (exists @t50 (tptp.m1_subset_1 @t19 @t1)))) % 2.93/3.15 (assume @p53 (forall @t26 (exists @t56 @t141))) % 2.93/3.15 (assume @p54 (forall @t11 (=> @t147 (not (tptp.v1_xboole_0 @t104))))) % 2.93/3.15 (assume @p55 @t157) % 2.93/3.15 (assume @p56 @t159) % 2.93/3.15 (assume @p57 (forall @t11 (=> @t160 (not (tptp.v1_xboole_0 @t16))))) % 2.93/3.15 (assume @p58 (forall @t11 (not (tptp.v1_xboole_0 @t161)))) % 2.93/3.15 (assume @p59 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 2.93/3.15 (assume @p60 (forall @t11 (=> @t147 (not (tptp.v1_xboole_0 @t106))))) % 2.93/3.15 (assume @p61 (forall @t11 (=> (and @t42 @t40 @t135) (and @t163 @t146 @t145 (tptp.v1_binop_1 @t15 @t16) @t162)))) % 2.93/3.15 (assume @p62 (forall @t11 (=> (and @t42 @t39 @t135) (and @t163 @t146 @t145 (tptp.v2_binop_1 @t15 @t16) @t162)))) % 2.93/3.15 (assume @p63 (forall @t34 (=> (and @t61 @t117 @t116 @t115 @t30 @t114 @t113) (and (not (tptp.v3_struct_0 @t110)) @t111)))) % 2.93/3.15 (assume @p64 (forall @t11 (=> @t10 (and @t120 @t119 @t155 @t154 @t153 @t152 @t151 @t150 @t149)))) % 2.93/3.15 (assume @p65 (forall @t11 (=> (and @t42 @t38 @t133) (and @t165 @t144 @t143 (tptp.v1_binop_1 @t14 @t16) @t164)))) % 2.93/3.15 (assume @p66 (forall @t26 (=> @t62 (not (tptp.v1_xboole_0 @t47))))) % 2.93/3.15 (assume @p67 (forall @t11 (=> @t10 (and @t120 @t119 @t155 @t154 @t153 @t152 @t151 @t150 @t149 @t148)))) % 2.93/3.15 (assume @p68 (forall @t11 (=> (and @t42 @t37 @t133) (and @t165 @t144 @t143 (tptp.v2_binop_1 @t14 @t16) @t164)))) % 2.93/3.15 (assume @p69 (forall @t34 (=> (and (not (tptp.v3_struct_0 @t19)) (tptp.l3_lattices @t19)) (= (tptp.r2_hidden @t1 (tptp.a_2_1_lattice3 @t19 @t28)) (exists @t68 (and (tptp.m1_subset_1 @t63 (tptp.u1_struct_0 @t19)) @t166 (tptp.r3_lattice3 @t19 @t63 @t28))))))) % 2.93/3.15 (assume @p70 (forall @t34 (=> @t109 (forall @t170 (=> (= @t103 (tptp.g3_conlat_1 @t63 @t168 @t167)) @t169))))) % 2.93/3.15 (assume @p71 (forall @t34 (=> @t118 (forall @t170 (=> (= @t110 (tptp.g3_lattices @t63 @t168 @t167)) @t169))))) % 2.93/3.15 (assume @p72 (forall @t11 (=> @t24 (exists @t50 (and @t23 @t22))))) % 2.93/3.15 (assume @p73 (forall @t11 (=> @t147 (exists @t50 (and @t23 @t22 @t82))))) % 2.93/3.15 (assume @p74 (exists @t11 (and @t18 @t42 @t17 @t40 @t39 @t38 @t37 @t36 @t35 @t44 @t54 @t53 @t51))) % 2.93/3.15 (assume @p75 (forall @t11 (=> @t147 (exists @t50 (and @t23 @t22 @t49))))) % 2.93/3.15 (assume @p76 (forall @t11 (=> @t10 (exists @t50 (and @t23 @t82 @t80))))) % 2.93/3.15 (assume @p77 (forall @t11 (=> @t10 (exists @t50 (and @t23 @t22 @t82 @t80))))) % 2.93/3.15 (assume @p78 (forall @t11 (=> @t10 (exists @t50 (and @t23 @t22 @t82 @t80 (tptp.v10_conlat_1 @t19 @t1)))))) % 2.93/3.15 (assume @p79 (forall @t11 (=> @t10 (exists @t50 (and @t23 @t22 @t82 @t80 (tptp.v11_conlat_1 @t19 @t1)))))) % 2.93/3.15 (assume @p80 (forall @t26 (exists @t56 (and @t33 @t46 @t30 @t29)))) % 2.93/3.15 (assume @p81 (forall @t11 (=> @t61 (exists @t50 (and @t171 @t58))))) % 2.93/3.15 (assume @p82 (exists @t11 @t60)) % 2.93/3.15 (assume @p83 (forall @t26 (exists @t56 (and @t33 @t46 @t30)))) % 2.93/3.15 (assume @p84 (forall @t11 (exists @t50 (and @t171 @t57)))) % 2.93/3.15 (assume @p85 (exists @t11 @t61)) % 2.93/3.15 (assume @p86 (exists @t11 (and @t18 @t17))) % 2.93/3.15 (assume @p87 (exists @t11 (and @t129 @t42))) % 2.93/3.15 (assume @p88 (forall @t11 (=> @t160 (exists @t50 (and (tptp.m1_subset_1 @t19 @t126) @t58))))) % 2.93/3.15 (assume @p89 (exists @t11 (and @t18 @t42 @t17))) % 2.93/3.15 (assume @p90 (forall @t11 (=> @t147 (exists @t50 (and @t108 @t58))))) % 2.93/3.15 (assume @p91 (forall @t11 (=> @t147 (exists @t50 (and (tptp.m1_subset_1 @t19 @t105) @t58))))) % 2.93/3.15 (assume @p92 (exists @t11 (and @t18 @t42 @t17 @t40 @t39 @t38 @t37 @t36 @t35 @t44))) % 2.93/3.15 (assume @p93 (forall @t34 (= @t141 @t33))) % 2.93/3.15 (assume @p94 (forall @t34 (=> @t172 (= (tptp.r3_lattices @t1 @t19 @t28) (tptp.r1_lattices @t1 @t19 @t28))))) % 2.93/3.15 (assume @p95 (forall @t26 (tptp.r1_tarski @t1 @t1))) % 2.93/3.15 (assume @p96 (forall @t34 (=> @t172 (tptp.r3_lattices @t1 @t19 @t19)))) % 2.93/3.15 (assume @p97 @t177) % 2.93/3.15 (assume @p98 (forall @t26 (=> @t27 @t178))) % 2.93/3.15 (assume @p99 (forall @t26 (=> @t178 (or @t57 @t27)))) % 2.93/3.15 (assume @p100 (forall @t26 (=> (forall @t56 (= (tptp.r2_hidden @t28 @t1) (tptp.r2_hidden @t28 @t19))) @t179))) % 2.93/3.15 (assume @p101 @t184) % 2.93/3.15 (assume @p102 @t198) % 2.93/3.15 (assume @p103 (forall @t26 (= (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t19)) (tptp.r1_tarski @t1 @t19)))) % 2.93/3.15 (assume @p104 @t205) % 2.93/3.15 (assume @p105 (forall @t34 (=> (and @t27 @t206) (tptp.m1_subset_1 @t1 @t28)))) % 2.93/3.15 (assume @p106 @t208) % 2.93/3.15 (assume @p107 (forall @t34 (not (and @t27 @t206 @t59)))) % 2.93/3.15 (assume @p108 @t210) % 2.93/3.15 (assume @p109 @t211) % 2.93/3.15 (assume @p110 (forall @t26 (not (and @t60 (not @t179) @t57)))) % 2.93/3.15 (step @p111 :rule aci_norm :args ((= (or @t214 @t212) (or @t8 @t213 @t212)))) % 2.93/3.15 (step @p112 :rule refl :args (@t212)) % 2.93/3.15 (step @p113 :rule refl :args (@t213)) % 2.93/3.15 (step @p114 :rule bool-double-not-elim :args (@t8)) % 2.93/3.15 (step @p115 :rule nary_cong :premises (@p114 @p113) :args ((or @t215 @t213))) % 2.93/3.15 (step @p116 :rule bool-and-de-morgan :args (@t9 @t7 true)) % 2.93/3.15 (step @p117 :rule trans :premises (@p116 @p115)) % 2.93/3.15 (step @p118 :rule nary_cong :premises (@p117 @p112) :args ((or @t216 @t212))) % 2.93/3.15 (step @p119 :rule trans :premises (@p118 @p111)) % 2.93/3.15 (step @p120 :rule bool-impl-elim :args (@t10 @t212)) % 2.93/3.15 (step @p121 :rule trans :premises (@p120 @p119)) % 2.93/3.15 (step @p122 :rule cong :premises (@p121) :args ((forall @t11 (=> @t10 @t212)))) % 2.93/3.15 (step @p123 :rule eq-symm :args (@t173 @t2)) % 2.93/3.15 (step @p124 :rule eq-symm :args (@t174 @t5)) % 2.93/3.15 (step @p125 :rule nary_cong :premises (@p124 @p123) :args (@t175)) % 2.93/3.15 (step @p126 :rule refl :args (@t10)) % 2.93/3.15 (step @p127 :rule cong :premises (@p126 @p125) :args (@t176)) % 2.93/3.15 (step @p128 :rule cong :premises (@p127) :args (@t177)) % 2.93/3.15 (step @p129 :rule trans :premises (@p128 @p122)) % 2.93/3.15 (step @p130 :rule eq_resolve :premises (@p97 @p129)) % 2.93/3.15 (step @p131 :rule instantiate :premises (@p130) :args (@t219)) % 2.93/3.15 (step @p132 :rule aci_norm :args ((= (or @t214 @t6) @t217))) % 2.93/3.15 (step @p133 :rule refl :args (@t6)) % 2.93/3.15 (step @p134 :rule nary_cong :premises (@p117 @p133) :args ((or @t216 @t6))) % 2.93/3.15 (step @p135 :rule trans :premises (@p134 @p132)) % 2.93/3.15 (step @p136 :rule bool-impl-elim :args (@t10 @t6)) % 2.93/3.15 (step @p137 :rule trans :premises (@p136 @p135)) % 2.93/3.15 (step @p138 :rule cong :premises (@p137) :args (@t12)) % 2.93/3.15 (step @p139 :rule cong :premises (@p138) :args (@t13)) % 2.93/3.15 (step @p140 :rule eq_resolve :premises (@p1 @p139)) % 2.93/3.15 (step @p141 :rule skolemize :premises (@p140)) % 2.93/3.15 (step @p142 :rule bool-double-not-elim :args (@t220)) % 2.93/3.15 (step @p143 :rule refl :args (@t232)) % 2.93/3.15 (step @p144 :rule nary_cong :premises (@p143 @p142) :args ((or @t232 (not @t230)))) % 2.93/3.15 (step @p145 :rule cnf_or_neg :args (@t232 1)) % 2.93/3.15 (step @p146 :rule eq_resolve :premises (@p145 @p144)) % 2.93/3.15 (step @p147 :rule reordering :premises (@p146) :args ((or @t220 @t232))) % 2.93/3.15 (step @p148 :rule chain_m_resolution :premises (@p147 @p141) :args (@t220 @t233 @t234)) % 2.93/3.15 (step @p149 :rule cnf_or_neg :args (@t232 0)) % 2.93/3.15 (step @p150 :rule chain_m_resolution :premises (@p149 @p141) :args ((not @t231) @t233 @t234)) % 2.93/3.15 (step @p151 :rule cnf_or_pos :args (@t240)) % 2.93/3.15 (step @p152 :rule reordering :premises (@p151) :args ((or @t231 @t230 @t239 (not @t240)))) % 2.93/3.15 (step @p153 :rule chain_m_resolution :premises (@p152 @p150 @p148 @p131) :args (@t239 @t241 (@list @t231 @t220 @t240))) % 2.93/3.15 (step @p154 :rule cnf_and_pos :args (@t239 1)) % 2.93/3.15 (step @p155 :rule reordering :premises (@p154) :args ((or @t236 @t242))) % 2.93/3.15 (step @p156 :rule chain_m_resolution :premises (@p155 @p153) :args (@t236 @t243 @t244)) % 2.93/3.15 (step @p157 :rule aci_norm :args ((= @t249 (or @t8 @t213 @t247 @t246)))) % 2.93/3.15 (step @p158 :rule cong :premises (@p157) :args (@t250)) % 2.93/3.15 (step @p159 :rule quant-merge-prenex :args ((= (forall @t11 @t252) @t250))) % 2.93/3.15 (step @p160 :rule alpha_equiv :args (@t253 (@list @t245) @t254)) % 2.93/3.15 (step @p161 :rule refl :args (@t8)) % 2.93/3.15 (step @p162 :rule nary_cong :premises (@p161 @p113 @p160) :args (@t255)) % 2.93/3.15 (step @p163 :rule quant-miniscope-or :args ((= @t252 @t255))) % 2.93/3.15 (step @p164 :rule trans :premises (@p163 @p162)) % 2.93/3.15 (step @p165 :rule symm :premises (@p164)) % 2.93/3.15 (step @p166 :rule cong :premises (@p165) :args ((forall @t11 @t259))) % 2.93/3.15 (step @p167 :rule trans :premises (@p166 @p159)) % 2.93/3.15 (step @p168 :rule trans :premises (@p167 @p158)) % 2.93/3.15 (step @p169 :rule aci_norm :args ((= (or @t214 @t258) @t259))) % 2.93/3.15 (step @p170 :rule refl :args (@t258)) % 2.93/3.15 (step @p171 :rule nary_cong :premises (@p117 @p170) :args ((or @t216 @t258))) % 2.93/3.15 (step @p172 :rule trans :premises (@p171 @p169)) % 2.93/3.15 (step @p173 :rule bool-impl-elim :args (@t10 @t258)) % 2.93/3.15 (step @p174 :rule trans :premises (@p173 @p172)) % 2.93/3.15 (step @p175 :rule cong :premises (@p174) :args ((forall @t11 (=> @t10 @t258)))) % 2.93/3.15 (step @p176 :rule trans :premises (@p175 @p168)) % 2.93/3.15 (step @p177 :rule bool-impl-elim :args (@t86 @t256)) % 2.93/3.15 (step @p178 :rule cong :premises (@p177) :args ((forall @t50 (=> @t86 @t256)))) % 2.93/3.15 (step @p179 :rule eq-symm :args (@t84 @t19)) % 2.93/3.15 (step @p180 :rule refl :args (@t86)) % 2.93/3.15 (step @p181 :rule cong :premises (@p180 @p179) :args (@t87)) % 2.93/3.15 (step @p182 :rule cong :premises (@p181) :args (@t88)) % 2.93/3.15 (step @p183 :rule trans :premises (@p182 @p178)) % 2.93/3.15 (step @p184 :rule cong :premises (@p126 @p183) :args (@t89)) % 2.93/3.15 (step @p185 :rule cong :premises (@p184) :args (@t90)) % 2.93/3.15 (step @p186 :rule trans :premises (@p185 @p176)) % 2.93/3.15 (step @p187 :rule eq_resolve :premises (@p17 @p186)) % 2.93/3.15 (step @p188 :rule instantiate :premises (@p187) :args ((@list @t218 @t235))) % 2.93/3.15 (step @p189 :rule aci_norm :args ((= (or (or @t41 @t260) @t134) (or @t41 @t260 @t134)))) % 2.93/3.15 (step @p190 :rule refl :args (@t134)) % 2.93/3.15 (step @p191 :rule refl :args (@t260)) % 2.93/3.15 (step @p192 :rule bool-double-not-elim :args (@t41)) % 2.93/3.15 (step @p193 :rule nary_cong :premises (@p192 @p191) :args ((or @t261 @t260))) % 2.93/3.15 (step @p194 :rule bool-and-de-morgan :args (@t42 @t135 true)) % 2.93/3.15 (step @p195 :rule trans :premises (@p194 @p193)) % 2.93/3.15 (step @p196 :rule nary_cong :premises (@p195 @p190) :args ((or (not @t136) @t134))) % 2.93/3.15 (step @p197 :rule trans :premises (@p196 @p189)) % 2.93/3.15 (step @p198 :rule bool-impl-elim :args (@t136 @t134)) % 2.93/3.15 (step @p199 :rule trans :premises (@p198 @p197)) % 2.93/3.15 (step @p200 :rule cong :premises (@p199) :args (@t137)) % 2.93/3.15 (step @p201 :rule eq_resolve :premises (@p34 @p200)) % 2.93/3.15 (step @p202 :rule instantiate :premises (@p201) :args (@t262)) % 2.93/3.15 (step @p203 :rule bool-impl-elim :args (@t18 @t139)) % 2.93/3.15 (step @p204 :rule cong :premises (@p203) :args (@t140)) % 2.93/3.15 (step @p205 :rule eq_resolve :premises (@p38 @p204)) % 2.93/3.15 (step @p206 :rule instantiate :premises (@p205) :args (@t262)) % 2.93/3.15 (step @p207 :rule aci_norm :args ((= (or @t214 @t121) (or @t8 @t213 @t121)))) % 2.93/3.15 (step @p208 :rule refl :args (@t121)) % 2.93/3.15 (step @p209 :rule nary_cong :premises (@p117 @p208) :args ((or @t216 @t121))) % 2.93/3.15 (step @p210 :rule trans :premises (@p209 @p207)) % 2.93/3.15 (step @p211 :rule bool-impl-elim :args (@t10 @t121)) % 2.93/3.15 (step @p212 :rule trans :premises (@p211 @p210)) % 2.93/3.15 (step @p213 :rule cong :premises (@p212) :args (@t122)) % 2.93/3.15 (step @p214 :rule eq_resolve :premises (@p22 @p213)) % 2.93/3.15 (step @p215 :rule instantiate :premises (@p214) :args (@t219)) % 2.93/3.15 (step @p216 :rule cnf_or_pos :args (@t268)) % 2.93/3.15 (step @p217 :rule reordering :premises (@p216) :args ((or @t231 @t230 @t267 (not @t268)))) % 2.93/3.15 (step @p218 :rule chain_m_resolution :premises (@p217 @p150 @p148 @p215) :args (@t267 @t241 (@list @t231 @t220 @t268))) % 2.93/3.15 (step @p219 :rule cnf_and_pos :args (@t267 2)) % 2.93/3.15 (step @p220 :rule reordering :premises (@p219) :args ((or @t263 @t269))) % 2.93/3.15 (step @p221 :rule chain_m_resolution :premises (@p220 @p218) :args (@t263 @t243 @t270)) % 2.93/3.15 (step @p222 :rule cnf_or_pos :args (@t275)) % 2.93/3.15 (step @p223 :rule reordering :premises (@p222) :args ((or @t274 @t273 (not @t275)))) % 2.93/3.15 (step @p224 :rule chain_m_resolution :premises (@p223 @p221 @p206) :args (@t273 @t276 (@list @t263 @t275))) % 2.93/3.15 (step @p225 :rule cnf_and_pos :args (@t273 1)) % 2.93/3.15 (step @p226 :rule reordering :premises (@p225) :args ((or @t271 @t277))) % 2.93/3.15 (step @p227 :rule chain_m_resolution :premises (@p226 @p224) :args (@t271 @t243 @t278)) % 2.93/3.15 (step @p228 :rule cnf_and_pos :args (@t267 0)) % 2.93/3.15 (step @p229 :rule reordering :premises (@p228) :args ((or @t266 @t269))) % 2.93/3.15 (step @p230 :rule chain_m_resolution :premises (@p229 @p218) :args (@t266 @t243 @t270)) % 2.93/3.15 (step @p231 :rule cnf_or_pos :args (@t282)) % 2.93/3.15 (step @p232 :rule reordering :premises (@p231) :args ((or @t265 @t281 @t280 (not @t282)))) % 2.93/3.15 (step @p233 :rule chain_m_resolution :premises (@p232 @p230 @p227 @p202) :args (@t280 @t241 (@list @t265 @t271 @t282))) % 2.93/3.15 (step @p234 :rule cnf_or_pos :args (@t286)) % 2.93/3.15 (step @p235 :rule reordering :premises (@p234) :args ((or @t231 @t230 @t285 @t284 (not @t286)))) % 2.93/3.15 (step @p236 :rule chain_m_resolution :premises (@p235 @p150 @p148 @p233 @p188) :args (@t284 @t287 (@list @t231 @t220 @t280 @t286))) % 2.93/3.15 (step @p237 :rule aci_norm :args ((= @t294 (or @t8 @t213 @t292 @t291 @t290)))) % 2.93/3.15 (step @p238 :rule cong :premises (@p237) :args (@t295)) % 2.93/3.15 (step @p239 :rule quant-merge-prenex :args ((= (forall @t11 @t297) @t295))) % 2.93/3.15 (step @p240 :rule alpha_equiv :args (@t298 (@list @t289 @t288) (@list @t19 @t299))) % 2.93/3.15 (step @p241 :rule nary_cong :premises (@p161 @p113 @p240) :args (@t300)) % 2.93/3.15 (step @p242 :rule quant-miniscope-or :args ((= @t297 @t300))) % 2.93/3.15 (step @p243 :rule trans :premises (@p242 @p241)) % 2.93/3.15 (step @p244 :rule symm :premises (@p243)) % 2.93/3.15 (step @p245 :rule cong :premises (@p244) :args ((forall @t11 @t306))) % 2.93/3.15 (step @p246 :rule trans :premises (@p245 @p239)) % 2.93/3.15 (step @p247 :rule trans :premises (@p246 @p238)) % 2.93/3.15 (step @p248 :rule aci_norm :args ((= (or @t214 @t305) @t306))) % 2.93/3.15 (step @p249 :rule refl :args (@t305)) % 2.93/3.15 (step @p250 :rule nary_cong :premises (@p117 @p249) :args ((or @t216 @t305))) % 2.93/3.15 (step @p251 :rule trans :premises (@p250 @p248)) % 2.93/3.15 (step @p252 :rule bool-impl-elim :args (@t10 @t305)) % 2.93/3.15 (step @p253 :rule trans :premises (@p252 @p251)) % 2.93/3.15 (step @p254 :rule cong :premises (@p253) :args ((forall @t11 (=> @t10 @t305)))) % 2.93/3.15 (step @p255 :rule trans :premises (@p254 @p247)) % 2.93/3.15 (step @p256 :rule aci_norm :args ((= @t308 @t303))) % 2.93/3.15 (step @p257 :rule cong :premises (@p256) :args (@t309)) % 2.93/3.15 (step @p258 :rule quant-merge-prenex :args ((= (forall @t50 @t311) @t309))) % 2.93/3.15 (step @p259 :rule alpha_equiv :args (@t312 (@list @t299) @t313)) % 2.93/3.15 (step @p260 :rule refl :args (@t257)) % 2.93/3.15 (step @p261 :rule nary_cong :premises (@p260 @p259) :args (@t314)) % 2.93/3.15 (step @p262 :rule quant-miniscope-or :args ((= @t311 @t314))) % 2.93/3.15 (step @p263 :rule trans :premises (@p262 @p261)) % 2.93/3.15 (step @p264 :rule symm :premises (@p263)) % 2.93/3.15 (step @p265 :rule cong :premises (@p264) :args ((forall @t50 (or @t257 @t315)))) % 2.93/3.15 (step @p266 :rule trans :premises (@p265 @p258)) % 2.93/3.15 (step @p267 :rule trans :premises (@p266 @p257)) % 2.93/3.15 (step @p268 :rule bool-impl-elim :args (@t86 @t315)) % 2.93/3.15 (step @p269 :rule cong :premises (@p268) :args ((forall @t50 (=> @t86 @t315)))) % 2.93/3.15 (step @p270 :rule trans :premises (@p269 @p267)) % 2.93/3.15 (step @p271 :rule bool-impl-elim :args (@t200 @t199)) % 2.93/3.15 (step @p272 :rule cong :premises (@p271) :args (@t201)) % 2.93/3.15 (step @p273 :rule cong :premises (@p180 @p272) :args (@t202)) % 2.93/3.15 (step @p274 :rule cong :premises (@p273) :args (@t203)) % 2.93/3.15 (step @p275 :rule trans :premises (@p274 @p270)) % 2.93/3.15 (step @p276 :rule cong :premises (@p126 @p275) :args (@t204)) % 2.93/3.15 (step @p277 :rule cong :premises (@p276) :args (@t205)) % 2.93/3.15 (step @p278 :rule trans :premises (@p277 @p255)) % 2.93/3.15 (step @p279 :rule eq_resolve :premises (@p104 @p278)) % 2.93/3.15 (step @p280 :rule instantiate :premises (@p279) :args ((@list @t218 @t318 @t235))) % 2.93/3.15 (step @p281 :rule aci_norm :args ((= @t326 (or @t41 @t324 @t323 @t322)))) % 2.93/3.15 (step @p282 :rule cong :premises (@p281) :args (@t327)) % 2.93/3.15 (step @p283 :rule quant-merge-prenex :args ((= (forall @t11 @t329) @t327))) % 2.93/3.15 (step @p284 :rule alpha_equiv :args (@t330 (@list @t319 @t320) (@list @t19 @t331))) % 2.93/3.15 (step @p285 :rule refl :args (@t324)) % 2.93/3.15 (step @p286 :rule refl :args (@t41)) % 2.93/3.15 (step @p287 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refl :args (@t222)) % 2.93/3.15 (step @p532 :rule cong :premises (@p531 @p530) :args (@t420)) % 2.93/3.15 (step @p533 :rule aci_norm :args ((= @t425 (or @t8 @t213 @t423 @t422)))) % 2.93/3.15 (step @p534 :rule cong :premises (@p533) :args (@t426)) % 2.93/3.15 (step @p535 :rule quant-merge-prenex :args ((= (forall @t11 @t428) @t426))) % 2.93/3.15 (step @p536 :rule alpha_equiv :args (@t429 (@list @t421) @t254)) % 2.93/3.15 (step @p537 :rule nary_cong :premises (@p161 @p113 @p536) :args (@t430)) % 2.93/3.15 (step @p538 :rule quant-miniscope-or :args ((= @t428 @t430))) % 2.93/3.15 (step @p539 :rule trans :premises (@p538 @p537)) % 2.93/3.15 (step @p540 :rule symm :premises (@p539)) % 2.93/3.15 (step @p541 :rule cong :premises (@p540) :args ((forall @t11 @t433))) % 2.93/3.15 (step @p542 :rule trans :premises (@p541 @p535)) % 2.93/3.15 (step @p543 :rule trans :premises (@p542 @p534)) % 2.93/3.15 (step @p544 :rule aci_norm :args ((= (or @t214 @t432) @t433))) % 2.93/3.15 (step @p545 :rule refl :args (@t432)) % 2.93/3.15 (step @p546 :rule nary_cong :premises (@p117 @p545) :args ((or @t216 @t432))) % 2.93/3.15 (step @p547 :rule trans :premises (@p546 @p544)) % 2.93/3.15 (step @p548 :rule bool-impl-elim :args (@t10 @t432)) % 2.93/3.15 (step @p549 :rule trans :premises (@p548 @p547)) % 2.93/3.15 (step @p550 :rule cong :premises (@p549) :args ((forall @t11 (=> @t10 @t432)))) % 2.93/3.15 (step @p551 :rule trans :premises (@p550 @p543)) % 2.93/3.15 (step @p552 :rule bool-impl-elim :args (@t94 @t99)) % 2.93/3.15 (step @p553 :rule cong :premises (@p552) :args (@t100)) % 2.93/3.15 (step @p554 :rule cong :premises (@p126 @p553) :args (@t101)) % 2.93/3.15 (step @p555 :rule cong :premises (@p554) :args (@t102)) % 2.93/3.15 (step @p556 :rule trans :premises (@p555 @p551)) % 2.93/3.15 (step @p557 :rule eq_resolve :premises (@p19 @p556)) % 2.93/3.15 (step @p558 :rule instantiate :premises (@p557) :args (@t434)) % 2.93/3.15 (step @p559 :rule bool-impl-elim :args (@t129 @t128)) % 2.93/3.15 (step @p560 :rule cong :premises (@p559) :args (@t130)) % 2.93/3.15 (step @p561 :rule eq_resolve :premises (@p27 @p560)) % 2.93/3.15 (step @p562 :rule instantiate :premises (@p561) :args (@t262)) % 2.93/3.15 (step @p563 :rule cnf_or_pos :args (@t436)) % 2.93/3.15 (step @p564 :rule reordering :premises (@p563) :args ((or @t435 @t356 (not @t436)))) % 2.93/3.15 (step @p565 :rule chain_m_resolution :premises (@p564 @p358 @p562) :args (@t435 @t276 (@list @t351 @t436))) % 2.93/3.15 (step @p566 :rule cnf_or_pos :args (@t439)) % 2.93/3.15 (step @p567 :rule reordering :premises (@p566) :args ((or @t231 @t230 @t438 @t437 (not @t439)))) % 2.93/3.15 (step @p568 :rule chain_m_resolution :premises (@p567 @p150 @p148 @p565 @p558) :args (@t437 @t287 (@list @t231 @t220 @t435 @t439))) % 2.93/3.15 (step @p569 :rule trans :premises (@p568 @p532 @p511 @p495)) % 2.93/3.15 (step @p570 :rule cnf_or_neg :args (@t232 2)) % 2.93/3.15 (step @p571 :rule chain_m_resolution :premises (@p570 @p141) :args ((not @t229) @t233 @t234)) % 2.93/3.15 (step @p572 :rule cnf_and_neg :args (@t229)) % 2.93/3.15 (step @p573 :rule chain_m_resolution :premises (@p572 @p571 @p569) :args ((not @t225) @t440 (@list @t229 @t228))) % 2.93/3.15 (step @p574 :rule false_intro :premises (@p573)) % 2.93/3.15 (step @p575 :rule symm :premises (@p156)) % 2.93/3.15 (step @p576 :rule aci_norm :args ((= @t445 (or @t8 @t213 @t443 @t442)))) % 2.93/3.15 (step @p577 :rule cong :premises (@p576) :args (@t446)) % 2.93/3.15 (step @p578 :rule quant-merge-prenex :args ((= (forall @t11 @t448) @t446))) % 2.93/3.15 (step @p579 :rule alpha_equiv :args (@t449 (@list @t441) @t254)) % 2.93/3.15 (step @p580 :rule nary_cong :premises (@p161 @p113 @p579) :args (@t450)) % 2.93/3.15 (step @p581 :rule quant-miniscope-or :args ((= @t448 @t450))) % 2.93/3.15 (step @p582 :rule trans :premises (@p581 @p580)) % 2.93/3.15 (step @p583 :rule symm :premises (@p582)) % 2.93/3.15 (step @p584 :rule cong :premises (@p583) :args ((forall @t11 @t452))) % 2.93/3.15 (step @p585 :rule trans :premises (@p584 @p578)) % 2.93/3.15 (step @p586 :rule trans :premises (@p585 @p577)) % 2.93/3.15 (step @p587 :rule aci_norm :args ((= (or @t214 @t451) @t452))) % 2.93/3.15 (step @p588 :rule refl :args (@t451)) % 2.93/3.15 (step @p589 :rule nary_cong :premises (@p117 @p588) :args ((or @t216 @t451))) % 2.93/3.15 (step @p590 :rule trans :premises (@p589 @p587)) % 2.93/3.15 (step @p591 :rule bool-impl-elim :args (@t10 @t451)) % 2.93/3.15 (step @p592 :rule trans :premises (@p591 @p590)) % 2.93/3.15 (step @p593 :rule cong :premises (@p592) :args ((forall @t11 (=> @t10 @t451)))) % 2.93/3.15 (step @p594 :rule trans :premises (@p593 @p586)) % 2.93/3.15 (step @p595 :rule bool-impl-elim :args (@t94 @t92)) % 2.93/3.15 (step @p596 :rule cong :premises (@p595) :args (@t95)) % 2.93/3.15 (step @p597 :rule cong :premises (@p126 @p596) :args (@t96)) % 2.93/3.15 (step @p598 :rule cong :premises (@p597) :args (@t97)) % 2.93/3.15 (step @p599 :rule trans :premises (@p598 @p594)) % 2.93/3.15 (step @p600 :rule eq_resolve :premises (@p18 @p599)) % 2.93/3.15 (step @p601 :rule instantiate :premises (@p600) :args (@t434)) % 2.93/3.15 (step @p602 :rule cnf_or_pos :args (@t454)) % 2.93/3.15 (step @p603 :rule reordering :premises (@p602) :args ((or @t231 @t230 @t438 @t453 (not @t454)))) % 2.93/3.15 (step @p604 :rule chain_m_resolution :premises (@p603 @p150 @p148 @p565 @p601) :args (@t453 @t287 (@list @t231 @t220 @t435 @t454))) % 2.93/3.15 (step @p605 :rule symm :premises (@p604)) % 2.93/3.15 (step @p606 :rule cong :premises (@p605 @p575) :args (@t396)) % 2.93/3.15 (step @p607 :rule trans :premises (@p606 @p574)) % 2.93/3.15 (step @p608 :rule false_elim :premises (@p607)) % 2.93/3.15 (step @p609 :rule cnf_equiv_pos1 :args (@t405)) % 2.93/3.15 (step @p610 :rule reordering :premises (@p609) :args ((or @t396 @t455 (not @t405)))) % 2.93/3.15 (step @p611 :rule chain_m_resolution :premises (@p610 @p608 @p491) :args (@t455 @t440 (@list @t396 @t405))) % 2.93/3.15 (step @p612 :rule cnf_and_neg :args (@t397)) % 2.93/3.15 (step @p613 :rule chain_m_resolution :premises (@p612 @p611 @p387) :args (@t456 @t440 (@list @t397 @t347))) % 2.93/3.15 (step @p614 :rule refl :args (@t461)) % 2.93/3.15 (step @p615 :rule bool-double-not-elim :args (@t317)) % 2.93/3.15 (step @p616 :rule nary_cong :premises (@p615 @p614) :args ((or (not @t456) @t461))) % 2.93/3.15 (assume-push @p757 @t456) % 2.93/3.15 (step @p618 :rule skolemize :premises (@p757)) % 2.93/3.15 (step-pop @p758 :rule scope :premises (@p618)) % 2.93/3.15 (step @p619 :rule process_scope :premises (@p758) :args (@t461)) % 2.93/3.15 (step @p621 :rule implies_elim :premises (@p619)) % 2.93/3.15 (step @p622 :rule eq_resolve :premises (@p621 @p616)) % 2.93/3.15 (step @p623 :rule chain_m_resolution :premises (@p622 @p613) :args (@t461 @t233 (@list @t317))) % 2.93/3.15 (step @p624 :rule bool-double-not-elim :args (@t458)) % 2.93/3.15 (step @p625 :rule refl :args (@t460)) % 2.93/3.15 (step @p626 :rule nary_cong :premises (@p625 @p624) :args ((or @t460 (not @t459)))) % 2.93/3.15 (step @p627 :rule cnf_or_neg :args (@t460 0)) % 2.93/3.15 (step @p628 :rule eq_resolve :premises (@p627 @p626)) % 2.93/3.15 (step @p629 :rule reordering :premises (@p628) :args ((or @t458 @t460))) % 2.93/3.15 (step @p630 :rule chain_m_resolution :premises (@p629 @p623) :args (@t458 @t233 @t462)) % 2.93/3.15 (step @p631 :rule cnf_or_pos :args (@t466)) % 2.93/3.15 (step @p632 :rule reordering :premises (@p631) :args ((or @t231 @t230 @t285 @t459 @t465 (not @t466)))) % 2.93/3.15 (step @p633 :rule chain_m_resolution :premises (@p632 @p150 @p148 @p233 @p630 @p280) :args (@t465 @t415 (@list @t231 @t220 @t280 @t458 @t466))) % 2.93/3.15 (step @p634 :rule cnf_or_neg :args (@t460 2)) % 2.93/3.15 (step @p635 :rule chain_m_resolution :premises (@p634 @p623) :args ((not @t457) @t233 @t462)) % 2.93/3.15 (step @p636 :rule cnf_equiv_pos2 :args (@t465)) % 2.93/3.15 (step @p637 :rule reordering :premises (@p636) :args ((or @t457 @t467 (not @t465)))) % 2.93/3.15 (step @p638 :rule chain_m_resolution :premises (@p637 @p635 @p633) :args (@t467 @t440 (@list @t457 @t465))) % 2.93/3.15 (step @p639 :rule aci_norm :args ((= @t474 (or @t8 @t213 @t472 @t471 @t470 @t469)))) % 2.93/3.15 (step @p640 :rule cong :premises (@p639) :args (@t475)) % 2.93/3.15 (step @p641 :rule quant-merge-prenex :args ((= (forall @t11 @t477) @t475))) % 2.93/3.15 (step @p642 :rule alpha_equiv :args (@t478 (@list @t468) @t254)) % 2.93/3.15 (step @p643 :rule nary_cong :premises (@p161 @p113 @p642) :args (@t479)) % 2.93/3.15 (step @p644 :rule quant-miniscope-or :args ((= @t477 @t479))) % 2.93/3.15 (step @p645 :rule trans :premises (@p644 @p643)) % 2.93/3.15 (step @p646 :rule symm :premises (@p645)) % 2.93/3.15 (step @p647 :rule cong :premises (@p646) :args ((forall @t11 @t484))) % 2.93/3.15 (step @p648 :rule trans :premises (@p647 @p641)) % 2.93/3.15 (step @p649 :rule trans :premises (@p648 @p640)) % 2.93/3.15 (step @p650 :rule aci_norm :args ((= (or @t214 @t483) @t484))) % 2.93/3.15 (step @p651 :rule refl :args (@t483)) % 2.93/3.15 (step @p652 :rule nary_cong :premises (@p117 @p651) :args ((or @t216 @t483))) % 2.93/3.15 (step @p653 :rule trans :premises (@p652 @p650)) % 2.93/3.15 (step @p654 :rule bool-impl-elim :args (@t10 @t483)) % 2.93/3.15 (step @p655 :rule trans :premises (@p654 @p653)) % 2.93/3.15 (step @p656 :rule cong :premises (@p655) :args ((forall @t11 (=> @t10 @t483)))) % 2.93/3.15 (step @p657 :rule trans :premises (@p656 @p649)) % 2.93/3.15 (step @p658 :rule aci_norm :args ((= (or (or @t81 @t481 @t480) @t180) @t482))) % 2.93/3.15 (step @p659 :rule refl :args (@t180)) % 2.93/3.15 (step @p660 :rule refl :args (@t480)) % 2.93/3.15 (step @p661 :rule refl :args (@t481)) % 2.93/3.15 (step @p662 :rule bool-double-not-elim :args (@t81)) % 2.93/3.15 (step @p663 :rule nary_cong :premises (@p662 @p661 @p660) :args (@t486)) % 2.93/3.15 (step @p664 :rule aci_norm :args ((= (or @t485 (or @t481 @t480)) @t486))) % 2.93/3.15 (step @p665 :rule trans :premises (@p664 @p663)) % 2.93/3.15 (step @p666 :rule bool-and-de-morgan :args (@t80 @t23 true)) % 2.93/3.15 (step @p667 :rule refl :args (@t485)) % 2.93/3.15 (step @p668 :rule nary_cong :premises (@p667 @p666) :args ((or @t485 (not (and @t80 @t23))))) % 2.93/3.15 (step @p669 :rule bool-and-de-morgan :args (@t82 @t80 (and @t23))) % 2.93/3.15 (step @p670 :rule trans :premises (@p669 @p668)) % 2.93/3.15 (step @p671 :rule trans :premises (@p670 @p665)) % 2.93/3.15 (step @p672 :rule nary_cong :premises (@p671 @p659) :args ((or (not @t181) @t180))) % 2.93/3.15 (step @p673 :rule trans :premises (@p672 @p658)) % 2.93/3.15 (step @p674 :rule bool-impl-elim :args (@t181 @t180)) % 2.93/3.15 (step @p675 :rule trans :premises (@p674 @p673)) % 2.93/3.15 (step @p676 :rule cong :premises (@p675) :args (@t182)) % 2.93/3.15 (step @p677 :rule cong :premises (@p126 @p676) :args (@t183)) % 2.93/3.15 (step @p678 :rule cong :premises (@p677) :args (@t184)) % 2.93/3.15 (step @p679 :rule trans :premises (@p678 @p657)) % 2.93/3.15 (step @p680 :rule eq_resolve :premises (@p101 @p679)) % 2.93/3.15 (step @p681 :rule instantiate :premises (@p680) :args ((@list @t218 @t463))) % 2.93/3.15 (step @p682 :rule aci_norm :args ((= (or (or @t8 @t213 @t257) @t123) (or @t8 @t213 @t257 @t123)))) % 2.93/3.15 (step @p683 :rule refl :args (@t123)) % 2.93/3.15 (step @p684 :rule nary_cong :premises (@p114 @p113 @p260) :args (@t487)) % 2.93/3.15 (step @p685 :rule aci_norm :args ((= (or @t215 (or @t213 @t257)) @t487))) % 2.93/3.15 (step @p686 :rule trans :premises (@p685 @p684)) % 2.93/3.15 (step @p687 :rule bool-and-de-morgan :args (@t7 @t86 true)) % 2.93/3.15 (step @p688 :rule refl :args (@t215)) % 2.93/3.15 (step @p689 :rule nary_cong :premises (@p688 @p687) :args ((or @t215 (not (and @t7 @t86))))) % 2.93/3.15 (step @p690 :rule bool-and-de-morgan :args (@t9 @t7 (and @t86))) % 2.93/3.15 (step @p691 :rule trans :premises (@p690 @p689)) % 2.93/3.15 (step @p692 :rule trans :premises (@p691 @p686)) % 2.93/3.15 (step @p693 :rule nary_cong :premises (@p692 @p683) :args ((or (not @t124) @t123))) % 2.93/3.15 (step @p694 :rule trans :premises (@p693 @p682)) % 2.93/3.15 (step @p695 :rule bool-impl-elim :args (@t124 @t123)) % 2.93/3.15 (step @p696 :rule trans :premises (@p695 @p694)) % 2.93/3.15 (step @p697 :rule cong :premises (@p696) :args (@t125)) % 2.93/3.15 (step @p698 :rule eq_resolve :premises (@p23 @p697)) % 2.93/3.15 (step @p699 :rule instantiate :premises (@p698) :args ((@list @t218 @t318))) % 2.93/3.15 (step @p700 :rule cnf_or_pos :args (@t493)) % 2.93/3.15 (step @p701 :rule reordering :premises (@p700) :args ((or @t231 @t230 @t459 @t492 (not @t493)))) % 2.93/3.15 (step @p702 :rule chain_m_resolution :premises (@p701 @p150 @p148 @p630 @p699) :args (@t492 @t287 (@list @t231 @t220 @t458 @t493))) % 2.93/3.15 (step @p703 :rule cnf_and_pos :args (@t492 3)) % 2.93/3.15 (step @p704 :rule reordering :premises (@p703) :args ((or @t488 @t494))) % 2.93/3.15 (step @p705 :rule chain_m_resolution :premises (@p704 @p702) :args (@t488 @t243 @t495)) % 2.93/3.15 (step @p706 :rule cnf_and_pos :args (@t492 2)) % 2.93/3.15 (step @p707 :rule reordering :premises (@p706) :args ((or @t489 @t494))) % 2.93/3.15 (step @p708 :rule chain_m_resolution :premises (@p707 @p702) :args (@t489 @t243 @t495)) % 2.93/3.15 (step @p709 :rule cnf_and_pos :args (@t492 1)) % 2.93/3.15 (step @p710 :rule reordering :premises (@p709) :args ((or @t491 @t494))) % 2.93/3.15 (step @p711 :rule chain_m_resolution :premises (@p710 @p702) :args (@t491 @t243 @t495)) % 2.93/3.15 (step @p712 :rule cnf_or_pos :args (@t500)) % 2.93/3.15 (step @p713 :rule reordering :premises (@p712) :args ((or @t231 @t230 @t490 @t499 @t498 @t497 (not @t500)))) % 2.93/3.15 (step @p714 :rule chain_m_resolution :premises (@p713 @p150 @p148 @p711 @p708 @p705 @p681) :args (@t497 (@list true false true false false false) (@list @t231 @t220 @t490 @t489 @t488 @t500))) % 2.93/3.15 (step @p715 :rule cnf_and_pos :args (@t497 0)) % 2.93/3.15 (step @p716 :rule reordering :premises (@p715) :args ((or @t496 (not @t497)))) % 2.93/3.15 (step @p717 :rule chain_m_resolution :premises (@p716 @p714) :args (@t496 @t243 (@list @t497))) % 2.93/3.15 (step @p718 :rule refl :args (@t501)) % 2.93/3.15 (step @p719 :rule bool-double-not-elim :args (@t464)) % 2.93/3.15 (step @p720 :rule refl :args (@t502)) % 2.93/3.15 (step @p721 :rule refl :args (@t503)) % 2.93/3.15 (step @p722 :rule nary_cong :premises (@p721 @p720 @p719 @p718) :args ((or @t503 @t502 (not @t467) @t501))) % 2.93/3.15 (assume-push @p759 @t236) % 2.93/3.15 (assume-push @p760 @t284) % 2.93/3.15 (assume-push @p761 @t467) % 2.93/3.15 (assume-push @p762 @t467) % 2.93/3.15 (assume-push @p763 @t284) % 2.93/3.15 (assume-push @p764 @t236) % 2.93/3.15 (step @p729 :rule false_intro :premises (@p761)) % 2.93/3.15 (step @p730 :rule trans :premises (@p156 @p236)) % 2.93/3.15 (step @p731 :rule refl :args (@t463)) % 2.93/3.15 (step @p732 :rule refl :args (@t218)) % 2.93/3.15 (step @p733 :rule cong :premises (@p732 @p731 @p730) :args (@t496)) % 2.93/3.15 (step @p734 :rule trans :premises (@p733 @p729)) % 2.93/3.15 (step @p735 :rule false_elim :premises (@p734)) % 2.93/3.15 (step-pop @p765 :rule scope :premises (@p735)) % 2.93/3.15 (step-pop @p766 :rule scope :premises (@p765)) % 2.93/3.15 (step-pop @p767 :rule scope :premises (@p766)) % 2.93/3.16 (step @p736 :rule process_scope :premises (@p767) :args (@t501)) % 2.93/3.16 (step @p740 :rule and_intro :premises (@p761 @p236 @p156)) % 2.93/3.16 (step @p741 :rule modus_ponens :premises (@p740 @p736)) % 2.93/3.16 (step-pop @p768 :rule scope :premises (@p741)) % 2.93/3.16 (step-pop @p769 :rule scope :premises (@p768)) % 2.93/3.16 (step-pop @p770 :rule scope :premises (@p769)) % 2.93/3.16 (step @p742 :rule process_scope :premises (@p770) :args (@t501)) % 2.93/3.16 (step @p746 :rule implies_elim :premises (@p742)) % 2.93/3.16 (step @p747 :rule cnf_and_neg :args (@t504)) % 2.93/3.16 (step @p748 :rule resolution :premises (@p747 @p746) :args (true @t504)) % 2.93/3.16 (step @p749 :rule eq_resolve :premises (@p748 @p722)) % 2.93/3.16 (step @p750 false :rule chain_m_resolution :premises (@p749 @p717 @p638 @p236 @p156) :args (false (@list false true false false) (@list @t496 @t464 @t284 @t236))) % 2.93/3.16 ) % 2.93/3.16 % SZS output end Proof % 2.93/3.16 % cvc5 exiting %------------------------------------------------------------------------------