%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT334+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 : n023.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 08:30:21 AM UTC 2026 % Result : Theorem 35.15s 35.38s % Output : Proof 35.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT334+1 : TPTP v9.2.1. Released v3.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n023.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 06:34:58 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 35.15/35.38 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 35.15/35.38 --- Run --no-e-matching --full-saturate-quant at 6... % 35.15/35.38 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 35.15/35.38 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 35.15/35.38 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 35.15/35.38 % SZS status Theorem % 35.15/35.38 % SZS output start Proof % 35.15/35.38 ( % 35.15/35.38 (declare-sort $$unsorted 0) % 35.15/35.38 (declare-const tptp.r3_lattices (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.15/35.38 (declare-const tptp.v2_binop_1 (-> $$unsorted $$unsorted Bool)) % 35.15/35.38 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.15/35.38 (declare-const tptp.k1_xboole_0 $$unsorted) % 35.15/35.38 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.15/35.38 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.15/35.38 (declare-const tptp.k1_tarski (-> $$unsorted $$unsorted)) % 35.15/35.38 (declare-const tptp.k2_binop_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.15/35.38 (declare-const tptp.k1_binop_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.15/35.38 (declare-const tptp.m2_nat_lat (-> $$unsorted $$unsorted Bool)) % 35.15/35.38 (declare-const tptp.k4_tarski (-> $$unsorted $$unsorted $$unsorted)) % 35.15/35.38 (declare-const tptp.r1_lattices (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.15/35.38 (declare-const tptp.k2_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.15/35.38 (declare-const tptp.k1_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.15/35.38 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 35.15/35.38 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 35.15/35.38 (declare-const tptp.v9_lattices (-> $$unsorted Bool)) % 35.15/35.38 (declare-const tptp.v3_lattices (-> $$unsorted Bool)) % 35.15/35.38 (declare-const tptp.v5_lattices (-> $$unsorted Bool)) % 35.15/35.38 (declare-const tptp.v10_lattices (-> $$unsorted Bool)) % 35.15/35.38 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 35.15/35.38 (declare-const tptp.u1_lattices (-> $$unsorted $$unsorted)) % 35.15/35.38 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 35.15/35.38 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 35.15/35.38 (declare-const tptp.k4_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.15/35.38 (declare-const tptp.v7_lattices (-> $$unsorted Bool)) % 35.15/35.38 (declare-const tptp.v1_finset_1 (-> $$unsorted Bool)) % 35.15/35.38 (declare-const tptp.l3_lattices (-> $$unsorted Bool)) % 35.15/35.38 (declare-const tptp.k1_funct_1 (-> $$unsorted $$unsorted $$unsorted)) % 35.15/35.38 (declare-const tptp.g3_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.15/35.38 (declare-const tptp.v1_binop_1 (-> $$unsorted $$unsorted Bool)) % 35.15/35.38 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.15/35.38 (declare-const tptp.v1_realset1 (-> $$unsorted Bool)) % 35.15/35.38 (declare-const tptp.u2_lattices (-> $$unsorted $$unsorted)) % 35.15/35.38 (declare-const tptp.v8_lattices (-> $$unsorted Bool)) % 35.15/35.38 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 35.15/35.38 (declare-const tptp.m2_lattice4 (-> $$unsorted $$unsorted Bool)) % 35.15/35.38 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 35.15/35.38 (declare-const tptp.k23_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 35.15/35.38 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 35.15/35.38 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 35.15/35.38 (declare-const tptp.l1_lattices (-> $$unsorted Bool)) % 35.15/35.38 (declare-const tptp.v6_lattices (-> $$unsorted Bool)) % 35.15/35.38 (declare-const tptp.v4_lattices (-> $$unsorted Bool)) % 35.15/35.38 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 35.15/35.38 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 35.15/35.38 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 35.15/35.38 (declare-const tptp.v12_lattices (-> $$unsorted Bool)) % 35.15/35.38 (declare-const tptp.k2_tarski (-> $$unsorted $$unsorted $$unsorted)) % 35.15/35.38 (declare-const tptp.k3_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.15/35.38 (declare-const tptp.l2_lattices (-> $$unsorted Bool)) % 35.15/35.38 (define @t1 () (@var "B" $$unsorted)) % 35.15/35.38 (define @t2 () (@var "A" $$unsorted)) % 35.15/35.38 (define @t3 () (tptp.k23_filter_2 @t2 @t1)) % 35.15/35.38 (define @t4 () (tptp.v12_lattices @t3)) % 35.15/35.38 (define @t5 () (tptp.v12_lattices @t2)) % 35.15/35.38 (define @t6 () (=> @t5 @t4)) % 35.15/35.38 (define @t7 () (tptp.m2_lattice4 @t1 @t2)) % 35.15/35.38 (define @t8 () (tptp.v1_xboole_0 @t1)) % 35.15/35.38 (define @t9 () (not @t8)) % 35.15/35.38 (define @t10 () (and @t9 @t7)) % 35.15/35.38 (define @t11 () (@list @t1)) % 35.15/35.38 (define @t12 () (forall @t11 (=> @t10 @t6))) % 35.15/35.38 (define @t13 () (tptp.l3_lattices @t2)) % 35.15/35.38 (define @t14 () (tptp.v10_lattices @t2)) % 35.15/35.38 (define @t15 () (tptp.v3_struct_0 @t2)) % 35.15/35.38 (define @t16 () (not @t15)) % 35.15/35.38 (define @t17 () (and @t16 @t14 @t13)) % 35.15/35.38 (define @t18 () (=> @t17 @t12)) % 35.15/35.38 (define @t19 () (@list @t2)) % 35.15/35.38 (define @t20 () (forall @t19 @t18)) % 35.15/35.38 (define @t21 () (not @t20)) % 35.15/35.38 (define @t22 () (tptp.u1_lattices @t2)) % 35.15/35.38 (define @t23 () (tptp.u2_lattices @t2)) % 35.15/35.38 (define @t24 () (tptp.u1_struct_0 @t2)) % 35.15/35.38 (define @t25 () (tptp.v3_lattices @t2)) % 35.15/35.38 (define @t26 () (tptp.r2_hidden @t2 @t1)) % 35.15/35.38 (define @t27 () (@list @t2 @t1)) % 35.15/35.38 (define @t28 () (tptp.v1_funct_1 @t2)) % 35.15/35.38 (define @t29 () (tptp.v1_xboole_0 @t2)) % 35.15/35.38 (define @t30 () (tptp.v9_lattices @t2)) % 35.15/35.38 (define @t31 () (tptp.v8_lattices @t2)) % 35.15/35.38 (define @t32 () (tptp.v7_lattices @t2)) % 35.15/35.38 (define @t33 () (tptp.v6_lattices @t2)) % 35.15/35.38 (define @t34 () (tptp.v5_lattices @t2)) % 35.15/35.38 (define @t35 () (tptp.v4_lattices @t2)) % 35.15/35.38 (define @t36 () (and @t16 @t35 @t34 @t33 @t32 @t31 @t30)) % 35.15/35.38 (define @t37 () (and @t16 @t14)) % 35.15/35.38 (define @t38 () (=> @t37 @t36)) % 35.15/35.38 (define @t39 () (forall @t19 (=> @t13 @t38))) % 35.15/35.38 (define @t40 () (not @t29)) % 35.15/35.38 (define @t41 () (tptp.v1_realset1 @t2)) % 35.15/35.38 (define @t42 () (not @t41)) % 35.15/35.38 (define @t43 () (@var "C" $$unsorted)) % 35.15/35.38 (define @t44 () (tptp.k2_zfmisc_1 @t2 @t1)) % 35.15/35.38 (define @t45 () (tptp.m1_subset_1 @t43 (tptp.k1_zfmisc_1 @t44))) % 35.15/35.38 (define @t46 () (@list @t2 @t1 @t43)) % 35.15/35.38 (define @t47 () (tptp.v1_relat_1 @t2)) % 35.15/35.38 (define @t48 () (and @t47 @t28 (tptp.v2_funct_1 @t2))) % 35.15/35.38 (define @t49 () (and @t47 @t29 @t28)) % 35.15/35.38 (define @t50 () (tptp.k2_tarski @t2 @t1)) % 35.15/35.38 (define @t51 () (tptp.k3_lattices @t2 @t1 @t43)) % 35.15/35.38 (define @t52 () (tptp.m1_subset_1 @t43 @t24)) % 35.15/35.38 (define @t53 () (tptp.m1_subset_1 @t1 @t24)) % 35.15/35.38 (define @t54 () (tptp.l2_lattices @t2)) % 35.15/35.38 (define @t55 () (and @t16 @t35 @t54 @t53 @t52)) % 35.15/35.38 (define @t56 () (tptp.k4_lattices @t2 @t1 @t43)) % 35.15/35.38 (define @t57 () (tptp.l1_lattices @t2)) % 35.15/35.38 (define @t58 () (and @t16 @t33 @t57 @t53 @t52)) % 35.15/35.38 (define @t59 () (@var "D" $$unsorted)) % 35.15/35.38 (define @t60 () (tptp.k1_lattices @t2 @t1 @t43)) % 35.15/35.38 (define @t61 () (= (tptp.k1_lattices @t2 @t1 (tptp.k2_lattices @t2 @t43 @t59)) (tptp.k2_lattices @t2 @t60 @t59))) % 35.15/35.38 (define @t62 () (tptp.r1_lattices @t2 @t1 @t59)) % 35.15/35.38 (define @t63 () (=> @t62 @t61)) % 35.15/35.38 (define @t64 () (tptp.m1_subset_1 @t59 @t24)) % 35.15/35.38 (define @t65 () (@list @t59)) % 35.15/35.38 (define @t66 () (forall @t65 (=> @t64 @t63))) % 35.15/35.38 (define @t67 () (=> @t52 @t66)) % 35.15/35.38 (define @t68 () (@list @t43)) % 35.15/35.38 (define @t69 () (forall @t68 @t67)) % 35.15/35.38 (define @t70 () (=> @t53 @t69)) % 35.15/35.38 (define @t71 () (forall @t11 @t70)) % 35.15/35.38 (define @t72 () (= @t5 @t71)) % 35.15/35.38 (define @t73 () (and @t16 @t13)) % 35.15/35.38 (define @t74 () (=> @t73 @t72)) % 35.15/35.38 (define @t75 () (forall @t19 @t74)) % 35.15/35.38 (define @t76 () (and @t47 @t28)) % 35.15/35.38 (define @t77 () (tptp.k2_lattices @t2 @t1 @t43)) % 35.15/35.38 (define @t78 () (tptp.k1_tarski @t2)) % 35.15/35.38 (define @t79 () (tptp.g3_lattices @t2 @t1 @t43)) % 35.15/35.38 (define @t80 () (tptp.v3_lattices @t79)) % 35.15/35.38 (define @t81 () (tptp.k2_zfmisc_1 @t2 @t2)) % 35.15/35.38 (define @t82 () (tptp.m1_relset_1 @t43 @t81 @t2)) % 35.15/35.38 (define @t83 () (tptp.v1_funct_2 @t43 @t81 @t2)) % 35.15/35.38 (define @t84 () (tptp.v1_funct_1 @t43)) % 35.15/35.38 (define @t85 () (tptp.m1_relset_1 @t1 @t81 @t2)) % 35.15/35.38 (define @t86 () (tptp.v1_funct_2 @t1 @t81 @t2)) % 35.15/35.38 (define @t87 () (tptp.v1_funct_1 @t1)) % 35.15/35.38 (define @t88 () (and @t87 @t86 @t85 @t84 @t83 @t82)) % 35.15/35.38 (define @t89 () (tptp.m1_subset_1 @t60 @t24)) % 35.15/35.38 (define @t90 () (and @t16 @t54 @t53 @t52)) % 35.15/35.38 (define @t91 () (forall @t46 (=> @t90 @t89))) % 35.15/35.38 (define @t92 () (tptp.m2_nat_lat @t3 @t2)) % 35.15/35.38 (define @t93 () (and @t16 @t14 @t13 @t9 @t7)) % 35.15/35.38 (define @t94 () (forall @t27 (=> @t93 @t92))) % 35.15/35.38 (define @t95 () (@var "F" $$unsorted)) % 35.15/35.38 (define @t96 () (@var "E" $$unsorted)) % 35.15/35.38 (define @t97 () (tptp.k2_binop_1 @t2 @t1 @t43 @t59 @t96 @t95)) % 35.15/35.38 (define @t98 () (and @t40 @t9 (tptp.v1_funct_1 @t59) (tptp.v1_funct_2 @t59 @t44 @t43) (tptp.m1_relset_1 @t59 @t44 @t43) (tptp.m1_subset_1 @t96 @t2) (tptp.m1_subset_1 @t95 @t1))) % 35.15/35.38 (define @t99 () (@list @t2 @t1 @t43 @t59 @t96 @t95)) % 35.15/35.38 (define @t100 () (tptp.m1_subset_1 @t77 @t24)) % 35.15/35.38 (define @t101 () (and @t16 @t57 @t53 @t52)) % 35.15/35.38 (define @t102 () (forall @t46 (=> @t101 @t100))) % 35.15/35.38 (define @t103 () (tptp.l1_struct_0 @t2)) % 35.15/35.38 (define @t104 () (and @t57 @t54)) % 35.15/35.38 (define @t105 () (forall @t19 (=> @t13 @t104))) % 35.15/35.38 (define @t106 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t24))) % 35.15/35.38 (define @t107 () (tptp.v10_lattices @t1)) % 35.15/35.38 (define @t108 () (not (tptp.v3_struct_0 @t1))) % 35.15/35.38 (define @t109 () (and @t108 @t107 (tptp.l3_lattices @t1))) % 35.15/35.38 (define @t110 () (tptp.m2_nat_lat @t1 @t2)) % 35.15/35.38 (define @t111 () (forall @t11 (=> @t110 @t109))) % 35.15/35.38 (define @t112 () (=> @t17 @t111)) % 35.15/35.38 (define @t113 () (forall @t19 @t112)) % 35.15/35.38 (define @t114 () (tptp.m2_relset_1 @t43 @t2 @t1)) % 35.15/35.38 (define @t115 () (tptp.k2_zfmisc_1 @t24 @t24)) % 35.15/35.38 (define @t116 () (tptp.v1_funct_2 @t22 @t115 @t24)) % 35.15/35.38 (define @t117 () (tptp.v1_funct_1 @t22)) % 35.15/35.38 (define @t118 () (tptp.v1_funct_2 @t23 @t115 @t24)) % 35.15/35.38 (define @t119 () (tptp.v1_funct_1 @t23)) % 35.15/35.38 (define @t120 () (tptp.m1_relset_1 @t43 @t2 @t1)) % 35.15/35.38 (define @t121 () (and @t16 @t103)) % 35.15/35.38 (define @t122 () (tptp.k1_zfmisc_1 @t2)) % 35.15/35.38 (define @t123 () (tptp.v1_partfun1 @t23 @t115 @t24)) % 35.15/35.38 (define @t124 () (tptp.v1_relat_1 @t23)) % 35.15/35.38 (define @t125 () (not (tptp.v1_xboole_0 @t78))) % 35.15/35.38 (define @t126 () (tptp.v1_partfun1 @t22 @t115 @t24)) % 35.15/35.38 (define @t127 () (tptp.v1_relat_1 @t22)) % 35.15/35.38 (define @t128 () (and (not (tptp.v3_struct_0 @t3)) (tptp.v3_lattices @t3) (tptp.v4_lattices @t3) (tptp.v5_lattices @t3) (tptp.v6_lattices @t3) (tptp.v7_lattices @t3) (tptp.v8_lattices @t3) (tptp.v9_lattices @t3) (tptp.v10_lattices @t3))) % 35.15/35.38 (define @t129 () (forall @t27 (=> @t93 @t128))) % 35.15/35.38 (define @t130 () (tptp.m1_subset_1 @t1 @t122)) % 35.15/35.38 (define @t131 () (= @t51 @t60)) % 35.15/35.38 (define @t132 () (forall @t46 (=> @t55 @t131))) % 35.15/35.38 (define @t133 () (= @t56 @t77)) % 35.15/35.38 (define @t134 () (forall @t46 (=> @t58 @t133))) % 35.15/35.38 (define @t135 () (= (tptp.r3_lattices @t2 @t1 @t43) (tptp.r1_lattices @t2 @t1 @t43))) % 35.15/35.38 (define @t136 () (and @t16 @t33 @t31 @t30 @t13 @t53 @t52)) % 35.15/35.38 (define @t137 () (forall @t46 (=> @t136 @t135))) % 35.15/35.38 (define @t138 () (tptp.m1_subset_1 @t2 @t1)) % 35.15/35.38 (define @t139 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t43))) % 35.15/35.38 (define @t140 () (tptp.u1_struct_0 @t1)) % 35.15/35.38 (define @t141 () (tptp.m1_subset_1 @t43 @t140)) % 35.15/35.38 (define @t142 () (forall @t68 (=> @t141 @t52))) % 35.15/35.38 (define @t143 () (=> @t110 @t142)) % 35.15/35.38 (define @t144 () (forall @t11 @t143)) % 35.15/35.38 (define @t145 () (=> @t17 @t144)) % 35.15/35.38 (define @t146 () (forall @t19 @t145)) % 35.15/35.38 (define @t147 () (tptp.k4_lattices @t2 @t43 @t59)) % 35.15/35.38 (define @t148 () (tptp.k3_lattices @t2 @t43 @t59)) % 35.15/35.38 (define @t149 () (and (= @t148 (tptp.k3_lattices @t3 @t96 @t95)) (= @t147 (tptp.k4_lattices @t3 @t96 @t95)))) % 35.15/35.38 (define @t150 () (= @t59 @t95)) % 35.15/35.38 (define @t151 () (= @t43 @t96)) % 35.15/35.38 (define @t152 () (and @t151 @t150)) % 35.15/35.38 (define @t153 () (=> @t152 @t149)) % 35.15/35.38 (define @t154 () (tptp.u1_struct_0 @t3)) % 35.15/35.38 (define @t155 () (tptp.m1_subset_1 @t95 @t154)) % 35.15/35.38 (define @t156 () (@list @t95)) % 35.15/35.38 (define @t157 () (forall @t156 (=> @t155 @t153))) % 35.15/35.38 (define @t158 () (tptp.m1_subset_1 @t96 @t154)) % 35.15/35.38 (define @t159 () (=> @t158 @t157)) % 35.15/35.38 (define @t160 () (@list @t96)) % 35.15/35.38 (define @t161 () (forall @t160 @t159)) % 35.15/35.38 (define @t162 () (=> @t64 @t161)) % 35.15/35.38 (define @t163 () (forall @t65 @t162)) % 35.15/35.38 (define @t164 () (=> @t52 @t163)) % 35.15/35.38 (define @t165 () (forall @t68 @t164)) % 35.15/35.38 (define @t166 () (=> @t10 @t165)) % 35.15/35.38 (define @t167 () (forall @t11 @t166)) % 35.15/35.38 (define @t168 () (=> @t17 @t167)) % 35.15/35.38 (define @t169 () (forall @t19 @t168)) % 35.15/35.38 (define @t170 () (tptp.r3_lattices @t2 @t43 @t59)) % 35.15/35.38 (define @t171 () (= @t170 (tptp.r3_lattices @t3 @t96 @t95))) % 35.15/35.38 (define @t172 () (=> @t152 @t171)) % 35.15/35.38 (define @t173 () (forall @t156 (=> @t155 @t172))) % 35.15/35.38 (define @t174 () (=> @t158 @t173)) % 35.15/35.38 (define @t175 () (forall @t160 @t174)) % 35.15/35.38 (define @t176 () (=> @t64 @t175)) % 35.15/35.38 (define @t177 () (forall @t65 @t176)) % 35.15/35.38 (define @t178 () (=> @t52 @t177)) % 35.15/35.38 (define @t179 () (forall @t68 @t178)) % 35.15/35.38 (define @t180 () (=> @t10 @t179)) % 35.15/35.38 (define @t181 () (forall @t11 @t180)) % 35.15/35.38 (define @t182 () (=> @t17 @t181)) % 35.15/35.38 (define @t183 () (forall @t19 @t182)) % 35.15/35.38 (define @t184 () (@var "BOUND_VARIABLE_8068" $$unsorted)) % 35.15/35.38 (define @t185 () (@var "BOUND_VARIABLE_8066" $$unsorted)) % 35.15/35.38 (define @t186 () (= (tptp.k1_lattices @t2 @t1 (tptp.k2_lattices @t2 @t185 @t184)) (tptp.k2_lattices @t2 (tptp.k1_lattices @t2 @t1 @t185) @t184))) % 35.15/35.38 (define @t187 () (not (tptp.r1_lattices @t2 @t1 @t184))) % 35.15/35.38 (define @t188 () (not (tptp.m1_subset_1 @t184 @t24))) % 35.15/35.38 (define @t189 () (not (tptp.m1_subset_1 @t185 @t24))) % 35.15/35.38 (define @t190 () (not @t53)) % 35.15/35.38 (define @t191 () (or @t190 @t189 @t188 @t187 @t186)) % 35.15/35.38 (define @t192 () (@list @t1 @t185 @t184)) % 35.15/35.38 (define @t193 () (= @t5 (forall @t192 @t191))) % 35.15/35.38 (define @t194 () (not @t13)) % 35.15/35.38 (define @t195 () (not @t16)) % 35.15/35.38 (define @t196 () (or @t189 @t188 @t187 @t186)) % 35.15/35.38 (define @t197 () (or @t190 @t196)) % 35.15/35.38 (define @t198 () (forall @t192 @t197)) % 35.15/35.38 (define @t199 () (@list @t185 @t184)) % 35.15/35.38 (define @t200 () (forall @t199 @t197)) % 35.15/35.38 (define @t201 () (forall @t199 @t196)) % 35.15/35.38 (define @t202 () (@var "BOUND_VARIABLE_8046" $$unsorted)) % 35.15/35.38 (define @t203 () (or @t190 @t201)) % 35.15/35.38 (define @t204 () (= (tptp.k1_lattices @t2 @t1 (tptp.k2_lattices @t2 @t43 @t202)) (tptp.k2_lattices @t2 @t60 @t202))) % 35.15/35.38 (define @t205 () (not (tptp.r1_lattices @t2 @t1 @t202))) % 35.15/35.38 (define @t206 () (not (tptp.m1_subset_1 @t202 @t24))) % 35.15/35.38 (define @t207 () (not @t52)) % 35.15/35.38 (define @t208 () (or @t207 @t206 @t205 @t204)) % 35.15/35.38 (define @t209 () (@list @t43 @t202)) % 35.15/35.38 (define @t210 () (forall @t209 @t208)) % 35.15/35.38 (define @t211 () (or @t206 @t205 @t204)) % 35.15/35.38 (define @t212 () (or @t207 @t211)) % 35.15/35.38 (define @t213 () (forall @t209 @t212)) % 35.15/35.38 (define @t214 () (@list @t202)) % 35.15/35.38 (define @t215 () (forall @t214 @t212)) % 35.15/35.38 (define @t216 () (forall @t214 @t211)) % 35.15/35.38 (define @t217 () (@list @t59)) % 35.15/35.38 (define @t218 () (or @t207 @t216)) % 35.15/35.38 (define @t219 () (not @t62)) % 35.15/35.38 (define @t220 () (not @t64)) % 35.15/35.38 (define @t221 () (or @t220 @t219 @t61)) % 35.15/35.38 (define @t222 () (forall @t65 @t221)) % 35.15/35.38 (define @t223 () (@var "BOUND_VARIABLE_7964" $$unsorted)) % 35.15/35.38 (define @t224 () (tptp.v12_lattices (tptp.k23_filter_2 @t2 @t223))) % 35.15/35.38 (define @t225 () (not (tptp.m2_lattice4 @t223 @t2))) % 35.15/35.38 (define @t226 () (tptp.v1_xboole_0 @t223)) % 35.15/35.38 (define @t227 () (not @t5)) % 35.15/35.38 (define @t228 () (not @t14)) % 35.15/35.38 (define @t229 () (or @t15 @t228 @t194 @t227 @t226 @t225 @t224)) % 35.15/35.38 (define @t230 () (@list @t2 @t223)) % 35.15/35.38 (define @t231 () (forall @t230 @t229)) % 35.15/35.38 (define @t232 () (@quantifiers_skolemize @t231 1)) % 35.15/35.38 (define @t233 () (@quantifiers_skolemize @t231 0)) % 35.15/35.38 (define @t234 () (tptp.k23_filter_2 @t233 @t232)) % 35.15/35.38 (define @t235 () (@list @t234)) % 35.15/35.38 (define @t236 () (@var "BOUND_VARIABLE_8273" $$unsorted)) % 35.15/35.38 (define @t237 () (and (not (tptp.v3_struct_0 @t236)) (tptp.v10_lattices @t236) (tptp.l3_lattices @t236))) % 35.15/35.38 (define @t238 () (not (tptp.m2_nat_lat @t236 @t2))) % 35.15/35.38 (define @t239 () (or @t238 @t237)) % 35.15/35.38 (define @t240 () (or @t15 @t228 @t194 @t239)) % 35.15/35.38 (define @t241 () (forall (@list @t2 @t236) @t240)) % 35.15/35.38 (define @t242 () (@list @t236)) % 35.15/35.38 (define @t243 () (forall @t242 @t240)) % 35.15/35.38 (define @t244 () (forall @t242 @t239)) % 35.15/35.38 (define @t245 () (@list @t1)) % 35.15/35.38 (define @t246 () (or @t15 @t228 @t194 @t244)) % 35.15/35.38 (define @t247 () (not @t110)) % 35.15/35.38 (define @t248 () (forall @t11 (or @t247 @t109))) % 35.15/35.38 (define @t249 () (or @t15 @t228 @t194 @t248)) % 35.15/35.38 (define @t250 () (or @t15 @t228 @t194)) % 35.15/35.38 (define @t251 () (or @t195 @t228 @t194)) % 35.15/35.38 (define @t252 () (not @t17)) % 35.15/35.38 (define @t253 () (not @t7)) % 35.15/35.38 (define @t254 () (or @t15 @t228 @t194 @t8 @t253)) % 35.15/35.38 (define @t255 () (not @t9)) % 35.15/35.38 (define @t256 () (or @t195 @t228 @t194 @t255 @t253)) % 35.15/35.38 (define @t257 () (or @t255 @t253)) % 35.15/35.38 (define @t258 () (not @t10)) % 35.15/35.38 (define @t259 () (not @t93)) % 35.15/35.38 (define @t260 () (@list @t233 @t232)) % 35.15/35.38 (define @t261 () (or @t226 @t225 @t224)) % 35.15/35.38 (define @t262 () (or @t15 @t228 @t194 @t227 @t261)) % 35.15/35.38 (define @t263 () (forall @t230 @t262)) % 35.15/35.38 (define @t264 () (@list @t223)) % 35.15/35.38 (define @t265 () (forall @t264 @t262)) % 35.15/35.38 (define @t266 () (forall @t264 @t261)) % 35.15/35.38 (define @t267 () (or @t15 @t228 @t194 @t227 @t266)) % 35.15/35.38 (define @t268 () (or @t8 @t253 @t4)) % 35.15/35.38 (define @t269 () (forall @t11 @t268)) % 35.15/35.38 (define @t270 () (or @t15 @t228 @t194 @t227 @t269)) % 35.15/35.38 (define @t271 () (or @t227 @t269)) % 35.15/35.38 (define @t272 () (or @t227 @t268)) % 35.15/35.38 (define @t273 () (or @t8 @t253 @t227 @t4)) % 35.15/35.38 (define @t274 () (or @t8 @t253)) % 35.15/35.38 (define @t275 () (tptp.m2_lattice4 @t232 @t233)) % 35.15/35.38 (define @t276 () (tptp.v12_lattices @t234)) % 35.15/35.38 (define @t277 () (not @t275)) % 35.15/35.38 (define @t278 () (tptp.v1_xboole_0 @t232)) % 35.15/35.38 (define @t279 () (tptp.v12_lattices @t233)) % 35.15/35.38 (define @t280 () (not @t279)) % 35.15/35.38 (define @t281 () (tptp.l3_lattices @t233)) % 35.15/35.38 (define @t282 () (not @t281)) % 35.15/35.38 (define @t283 () (tptp.v10_lattices @t233)) % 35.15/35.38 (define @t284 () (not @t283)) % 35.15/35.38 (define @t285 () (tptp.v3_struct_0 @t233)) % 35.15/35.38 (define @t286 () (or @t285 @t284 @t282 @t280 @t278 @t277 @t276)) % 35.15/35.38 (define @t287 () (@list true)) % 35.15/35.38 (define @t288 () (@list @t286)) % 35.15/35.38 (define @t289 () (not @t285)) % 35.15/35.38 (define @t290 () (tptp.m2_nat_lat @t234 @t233)) % 35.15/35.38 (define @t291 () (or @t285 @t284 @t282 @t278 @t277 @t290)) % 35.15/35.38 (define @t292 () (@list true false false true false false)) % 35.15/35.38 (define @t293 () (tptp.l3_lattices @t234)) % 35.15/35.38 (define @t294 () (tptp.v10_lattices @t234)) % 35.15/35.38 (define @t295 () (tptp.v3_struct_0 @t234)) % 35.15/35.38 (define @t296 () (not @t295)) % 35.15/35.38 (define @t297 () (and @t296 @t294 @t293)) % 35.15/35.38 (define @t298 () (not @t290)) % 35.15/35.38 (define @t299 () (or @t285 @t284 @t282 @t298 @t297)) % 35.15/35.38 (define @t300 () (@list true false false false false)) % 35.15/35.38 (define @t301 () (@list false)) % 35.15/35.38 (define @t302 () (tptp.v9_lattices @t234)) % 35.15/35.38 (define @t303 () (tptp.v8_lattices @t234)) % 35.15/35.38 (define @t304 () (tptp.v6_lattices @t234)) % 35.15/35.38 (define @t305 () (tptp.v4_lattices @t234)) % 35.15/35.38 (define @t306 () (and @t296 (tptp.v3_lattices @t234) @t305 (tptp.v5_lattices @t234) @t304 (tptp.v7_lattices @t234) @t303 @t302 @t294)) % 35.15/35.38 (define @t307 () (or @t285 @t284 @t282 @t278 @t277 @t306)) % 35.15/35.38 (define @t308 () (not @t306)) % 35.15/35.38 (define @t309 () (@list @t306)) % 35.15/35.38 (define @t310 () (tptp.u1_struct_0 @t234)) % 35.15/35.38 (define @t311 () (forall @t192 (or (not (tptp.m1_subset_1 @t1 @t310)) (not (tptp.m1_subset_1 @t185 @t310)) (not (tptp.m1_subset_1 @t184 @t310)) (not (tptp.r1_lattices @t234 @t1 @t184)) (= (tptp.k1_lattices @t234 @t1 (tptp.k2_lattices @t234 @t185 @t184)) (tptp.k2_lattices @t234 (tptp.k1_lattices @t234 @t1 @t185) @t184))))) % 35.15/35.38 (define @t312 () (= @t276 @t311)) % 35.15/35.38 (define @t313 () (not @t293)) % 35.15/35.38 (define @t314 () (or @t295 @t313 @t312)) % 35.15/35.38 (define @t315 () (@list true false false)) % 35.15/35.38 (define @t316 () (not @t311)) % 35.15/35.38 (define @t317 () (@quantifiers_skolemize @t311 2)) % 35.15/35.38 (define @t318 () (@quantifiers_skolemize @t311 1)) % 35.15/35.38 (define @t319 () (@quantifiers_skolemize @t311 0)) % 35.15/35.38 (define @t320 () (tptp.k1_lattices @t234 @t319 @t318)) % 35.15/35.38 (define @t321 () (tptp.k2_lattices @t234 @t320 @t317)) % 35.15/35.38 (define @t322 () (tptp.k2_lattices @t234 @t318 @t317)) % 35.15/35.38 (define @t323 () (tptp.k1_lattices @t234 @t319 @t322)) % 35.15/35.38 (define @t324 () (= @t323 @t321)) % 35.15/35.38 (define @t325 () (tptp.r1_lattices @t234 @t319 @t317)) % 35.15/35.38 (define @t326 () (not @t325)) % 35.15/35.38 (define @t327 () (tptp.m1_subset_1 @t317 @t310)) % 35.15/35.38 (define @t328 () (not @t327)) % 35.15/35.38 (define @t329 () (tptp.m1_subset_1 @t318 @t310)) % 35.15/35.38 (define @t330 () (not @t329)) % 35.15/35.38 (define @t331 () (tptp.m1_subset_1 @t319 @t310)) % 35.15/35.38 (define @t332 () (not @t331)) % 35.15/35.38 (define @t333 () (or @t332 @t330 @t328 @t326 @t324)) % 35.15/35.38 (define @t334 () (not @t324)) % 35.15/35.38 (define @t335 () (@list @t333)) % 35.15/35.38 (define @t336 () (not @t57)) % 35.15/35.38 (define @t337 () (not @t33)) % 35.15/35.38 (define @t338 () (or @t15 @t337 @t336 @t190 @t207 @t133)) % 35.15/35.38 (define @t339 () (or @t195 @t337 @t336 @t190 @t207)) % 35.15/35.38 (define @t340 () (or @t190 @t207)) % 35.15/35.38 (define @t341 () (or @t336 @t340)) % 35.15/35.38 (define @t342 () (not (and @t53 @t52))) % 35.15/35.38 (define @t343 () (not (and @t57 @t53 @t52))) % 35.15/35.38 (define @t344 () (tptp.k4_lattices @t234 @t318 @t317)) % 35.15/35.38 (define @t345 () (tptp.l1_lattices @t234)) % 35.15/35.38 (define @t346 () (not @t345)) % 35.15/35.38 (define @t347 () (not @t304)) % 35.15/35.38 (define @t348 () (or @t295 @t347 @t346 @t330 @t328 (= @t344 @t322))) % 35.15/35.38 (define @t349 () (forall @t46 @t338)) % 35.15/35.38 (define @t350 () (@list @t234 @t318 @t317)) % 35.15/35.38 (define @t351 () (= @t322 @t344)) % 35.15/35.38 (define @t352 () (or @t295 @t347 @t346 @t330 @t328 @t351)) % 35.15/35.38 (define @t353 () (@list @t349)) % 35.15/35.38 (define @t354 () (tptp.l2_lattices @t234)) % 35.15/35.38 (define @t355 () (and @t345 @t354)) % 35.15/35.38 (define @t356 () (or @t313 @t355)) % 35.15/35.38 (define @t357 () (@list false false)) % 35.15/35.38 (define @t358 () (not @t355)) % 35.15/35.38 (define @t359 () (@list @t355)) % 35.15/35.38 (define @t360 () (@list true false false false false false)) % 35.15/35.38 (define @t361 () (not @t54)) % 35.15/35.38 (define @t362 () (not @t35)) % 35.15/35.38 (define @t363 () (or @t15 @t362 @t361 @t190 @t207 @t131)) % 35.15/35.38 (define @t364 () (or @t195 @t362 @t361 @t190 @t207)) % 35.15/35.38 (define @t365 () (or @t361 @t340)) % 35.15/35.38 (define @t366 () (not (and @t54 @t53 @t52))) % 35.15/35.38 (define @t367 () (tptp.k3_lattices @t234 @t319 @t318)) % 35.15/35.38 (define @t368 () (not @t354)) % 35.15/35.38 (define @t369 () (not @t305)) % 35.15/35.38 (define @t370 () (or @t295 @t369 @t368 @t332 @t330 (= @t367 @t320))) % 35.15/35.38 (define @t371 () (forall @t46 @t363)) % 35.15/35.38 (define @t372 () (@list @t234 @t319 @t318)) % 35.15/35.38 (define @t373 () (= @t320 @t367)) % 35.15/35.38 (define @t374 () (or @t295 @t369 @t368 @t332 @t330 @t373)) % 35.15/35.38 (define @t375 () (@list @t371)) % 35.15/35.38 (define @t376 () (tptp.k3_lattices @t234 @t319 @t322)) % 35.15/35.38 (define @t377 () (tptp.m1_subset_1 @t322 @t310)) % 35.15/35.38 (define @t378 () (not @t377)) % 35.15/35.38 (define @t379 () (or @t295 @t369 @t368 @t332 @t378 (= @t376 @t323))) % 35.15/35.38 (define @t380 () (= @t323 @t376)) % 35.15/35.38 (define @t381 () (or @t295 @t369 @t368 @t332 @t378 @t380)) % 35.15/35.38 (define @t382 () (or @t195 @t336 @t190 @t207)) % 35.15/35.38 (define @t383 () (or @t295 @t346 @t330 @t328 @t377)) % 35.15/35.38 (define @t384 () (tptp.k4_lattices @t234 @t320 @t317)) % 35.15/35.38 (define @t385 () (tptp.m1_subset_1 @t320 @t310)) % 35.15/35.38 (define @t386 () (not @t385)) % 35.15/35.38 (define @t387 () (or @t295 @t347 @t346 @t386 @t328 (= @t384 @t321))) % 35.15/35.38 (define @t388 () (= @t321 @t384)) % 35.15/35.38 (define @t389 () (or @t295 @t347 @t346 @t386 @t328 @t388)) % 35.15/35.38 (define @t390 () (or @t195 @t361 @t190 @t207)) % 35.15/35.38 (define @t391 () (or @t295 @t368 @t332 @t330 @t385)) % 35.15/35.38 (define @t392 () (@var "BOUND_VARIABLE_8617" $$unsorted)) % 35.15/35.38 (define @t393 () (tptp.m1_subset_1 @t392 @t24)) % 35.15/35.38 (define @t394 () (@var "BOUND_VARIABLE_8615" $$unsorted)) % 35.15/35.38 (define @t395 () (not (tptp.m1_subset_1 @t392 (tptp.u1_struct_0 @t394)))) % 35.15/35.38 (define @t396 () (not (tptp.m2_nat_lat @t394 @t2))) % 35.15/35.38 (define @t397 () (or @t396 @t395 @t393)) % 35.15/35.38 (define @t398 () (or @t15 @t228 @t194 @t397)) % 35.15/35.38 (define @t399 () (forall (@list @t2 @t394 @t392) @t398)) % 35.15/35.38 (define @t400 () (@list @t394 @t392)) % 35.15/35.38 (define @t401 () (forall @t400 @t398)) % 35.15/35.38 (define @t402 () (forall @t400 @t397)) % 35.15/35.38 (define @t403 () (@var "BOUND_VARIABLE_8600" $$unsorted)) % 35.15/35.38 (define @t404 () (or @t15 @t228 @t194 @t402)) % 35.15/35.38 (define @t405 () (tptp.m1_subset_1 @t403 @t24)) % 35.15/35.38 (define @t406 () (not (tptp.m1_subset_1 @t403 @t140))) % 35.15/35.38 (define @t407 () (or @t247 @t406 @t405)) % 35.15/35.38 (define @t408 () (@list @t1 @t403)) % 35.15/35.38 (define @t409 () (forall @t408 @t407)) % 35.15/35.38 (define @t410 () (or @t15 @t228 @t194 @t409)) % 35.15/35.38 (define @t411 () (or @t406 @t405)) % 35.15/35.38 (define @t412 () (or @t247 @t411)) % 35.15/35.38 (define @t413 () (forall @t408 @t412)) % 35.15/35.38 (define @t414 () (@list @t403)) % 35.15/35.38 (define @t415 () (forall @t414 @t412)) % 35.15/35.38 (define @t416 () (forall @t414 @t411)) % 35.15/35.38 (define @t417 () (or @t247 @t416)) % 35.15/35.38 (define @t418 () (forall @t68 (or (not @t141) @t52))) % 35.15/35.38 (define @t419 () (tptp.u1_struct_0 @t233)) % 35.15/35.38 (define @t420 () (tptp.m1_subset_1 @t317 @t419)) % 35.15/35.38 (define @t421 () (or @t285 @t284 @t282 @t298 @t328 @t420)) % 35.15/35.38 (define @t422 () (tptp.m1_subset_1 @t318 @t419)) % 35.15/35.38 (define @t423 () (or @t285 @t284 @t282 @t298 @t330 @t422)) % 35.15/35.38 (define @t424 () (@list @t233)) % 35.15/35.38 (define @t425 () (tptp.l2_lattices @t233)) % 35.15/35.38 (define @t426 () (tptp.l1_lattices @t233)) % 35.15/35.38 (define @t427 () (and @t426 @t425)) % 35.15/35.38 (define @t428 () (or @t282 @t427)) % 35.15/35.38 (define @t429 () (not @t427)) % 35.15/35.38 (define @t430 () (@list @t427)) % 35.15/35.38 (define @t431 () (or @t15 @t228 @t36)) % 35.15/35.38 (define @t432 () (tptp.v9_lattices @t233)) % 35.15/35.38 (define @t433 () (tptp.v8_lattices @t233)) % 35.15/35.38 (define @t434 () (tptp.v6_lattices @t233)) % 35.15/35.38 (define @t435 () (tptp.v4_lattices @t233)) % 35.15/35.38 (define @t436 () (and @t289 @t435 (tptp.v5_lattices @t233) @t434 (tptp.v7_lattices @t233) @t433 @t432)) % 35.15/35.38 (define @t437 () (or @t282 @t285 @t284 @t436)) % 35.15/35.38 (define @t438 () (not @t436)) % 35.15/35.38 (define @t439 () (@list @t436)) % 35.15/35.38 (define @t440 () (tptp.k2_lattices @t233 @t318 @t317)) % 35.15/35.38 (define @t441 () (tptp.k4_lattices @t233 @t318 @t317)) % 35.15/35.38 (define @t442 () (= @t441 @t440)) % 35.15/35.38 (define @t443 () (not @t420)) % 35.15/35.38 (define @t444 () (not @t422)) % 35.15/35.38 (define @t445 () (not @t426)) % 35.15/35.38 (define @t446 () (not @t434)) % 35.15/35.38 (define @t447 () (or @t285 @t446 @t445 @t444 @t443 @t442)) % 35.15/35.38 (define @t448 () (@var "BOUND_VARIABLE_8749" $$unsorted)) % 35.15/35.38 (define @t449 () (@var "BOUND_VARIABLE_8747" $$unsorted)) % 35.15/35.38 (define @t450 () (@var "BOUND_VARIABLE_8745" $$unsorted)) % 35.15/35.38 (define @t451 () (tptp.k23_filter_2 @t2 @t450)) % 35.15/35.38 (define @t452 () (and (= (tptp.k3_lattices @t2 @t449 @t448) (tptp.k3_lattices @t451 @t449 @t448)) (= (tptp.k4_lattices @t2 @t449 @t448) (tptp.k4_lattices @t451 @t449 @t448)))) % 35.15/35.38 (define @t453 () (tptp.u1_struct_0 @t451)) % 35.15/35.38 (define @t454 () (not (tptp.m1_subset_1 @t448 @t453))) % 35.15/35.38 (define @t455 () (not (tptp.m1_subset_1 @t448 @t24))) % 35.15/35.38 (define @t456 () (not (tptp.m1_subset_1 @t449 @t453))) % 35.15/35.38 (define @t457 () (not (tptp.m1_subset_1 @t449 @t24))) % 35.15/35.38 (define @t458 () (not (tptp.m2_lattice4 @t450 @t2))) % 35.15/35.38 (define @t459 () (tptp.v1_xboole_0 @t450)) % 35.15/35.38 (define @t460 () (or @t15 @t228 @t194 @t459 @t458 @t457 @t456 @t455 @t454 @t452)) % 35.15/35.38 (define @t461 () (or @t459 @t458 @t457 @t456 @t455 @t454 @t452)) % 35.15/35.38 (define @t462 () (or @t15 @t228 @t194 @t461)) % 35.15/35.38 (define @t463 () (@list @t2 @t450 @t449 @t448)) % 35.15/35.38 (define @t464 () (forall @t463 @t462)) % 35.15/35.38 (define @t465 () (@list @t450 @t449 @t448)) % 35.15/35.38 (define @t466 () (forall @t465 @t462)) % 35.15/35.38 (define @t467 () (forall @t465 @t461)) % 35.15/35.38 (define @t468 () (@var "BOUND_VARIABLE_8718" $$unsorted)) % 35.15/35.38 (define @t469 () (@var "BOUND_VARIABLE_8716" $$unsorted)) % 35.15/35.38 (define @t470 () (or @t15 @t228 @t194 @t467)) % 35.15/35.38 (define @t471 () (and (= (tptp.k3_lattices @t2 @t469 @t468) (tptp.k3_lattices @t3 @t469 @t468)) (= (tptp.k4_lattices @t2 @t469 @t468) (tptp.k4_lattices @t3 @t469 @t468)))) % 35.15/35.38 (define @t472 () (not (tptp.m1_subset_1 @t468 @t154))) % 35.15/35.38 (define @t473 () (not (tptp.m1_subset_1 @t468 @t24))) % 35.15/35.38 (define @t474 () (not (tptp.m1_subset_1 @t469 @t154))) % 35.15/35.38 (define @t475 () (not (tptp.m1_subset_1 @t469 @t24))) % 35.15/35.38 (define @t476 () (or @t8 @t253 @t475 @t474 @t473 @t472 @t471)) % 35.15/35.38 (define @t477 () (@list @t1 @t469 @t468)) % 35.15/35.38 (define @t478 () (forall @t477 @t476)) % 35.15/35.38 (define @t479 () (or @t15 @t228 @t194 @t478)) % 35.15/35.38 (define @t480 () (or @t475 @t474 @t473 @t472 @t471)) % 35.15/35.38 (define @t481 () (or @t8 @t253 @t480)) % 35.15/35.38 (define @t482 () (forall @t477 @t481)) % 35.15/35.38 (define @t483 () (@list @t469 @t468)) % 35.15/35.38 (define @t484 () (forall @t483 @t481)) % 35.15/35.38 (define @t485 () (forall @t483 @t480)) % 35.15/35.38 (define @t486 () (@var "BOUND_VARIABLE_8693" $$unsorted)) % 35.15/35.38 (define @t487 () (or @t8 @t253 @t485)) % 35.15/35.38 (define @t488 () (and (= (tptp.k3_lattices @t2 @t43 @t486) (tptp.k3_lattices @t3 @t43 @t486)) (= (tptp.k4_lattices @t2 @t43 @t486) (tptp.k4_lattices @t3 @t43 @t486)))) % 35.15/35.38 (define @t489 () (not (tptp.m1_subset_1 @t486 @t154))) % 35.15/35.38 (define @t490 () (not (tptp.m1_subset_1 @t486 @t24))) % 35.15/35.38 (define @t491 () (not (tptp.m1_subset_1 @t43 @t154))) % 35.15/35.38 (define @t492 () (or @t207 @t491 @t490 @t489 @t488)) % 35.15/35.38 (define @t493 () (@list @t43 @t486)) % 35.15/35.38 (define @t494 () (forall @t493 @t492)) % 35.15/35.38 (define @t495 () (or @t8 @t253 @t494)) % 35.15/35.38 (define @t496 () (or @t490 @t489 @t488)) % 35.15/35.38 (define @t497 () (or @t207 @t491 @t496)) % 35.15/35.38 (define @t498 () (forall @t493 @t497)) % 35.15/35.38 (define @t499 () (@list @t486)) % 35.15/35.38 (define @t500 () (forall @t499 @t497)) % 35.15/35.38 (define @t501 () (forall @t499 @t496)) % 35.15/35.38 (define @t502 () (or @t207 @t491 @t501)) % 35.15/35.38 (define @t503 () (and (= @t148 (tptp.k3_lattices @t3 @t43 @t59)) (= @t147 (tptp.k4_lattices @t3 @t43 @t59)))) % 35.15/35.38 (define @t504 () (not (tptp.m1_subset_1 @t59 @t154))) % 35.15/35.38 (define @t505 () (or @t220 @t504 @t503)) % 35.15/35.38 (define @t506 () (forall @t65 @t505)) % 35.15/35.38 (define @t507 () (or @t207 @t491 @t506)) % 35.15/35.38 (define @t508 () (or @t491 @t506)) % 35.15/35.38 (define @t509 () (or @t491 @t505)) % 35.15/35.38 (define @t510 () (or @t220 @t504 @t491 @t503)) % 35.15/35.38 (define @t511 () (or @t504 @t491 @t503)) % 35.15/35.38 (define @t512 () (or @t491 @t503)) % 35.15/35.38 (define @t513 () (not (= @t43 @t43))) % 35.15/35.38 (define @t514 () (or @t491 @t513 @t503)) % 35.15/35.38 (define @t515 () (and (= @t148 (tptp.k3_lattices @t3 @t96 @t59)) (= @t147 (tptp.k4_lattices @t3 @t96 @t59)))) % 35.15/35.38 (define @t516 () (not @t151)) % 35.15/35.38 (define @t517 () (not @t158)) % 35.15/35.38 (define @t518 () (not (= @t96 @t43))) % 35.15/35.38 (define @t519 () (or @t516 @t517 @t516 @t515)) % 35.15/35.38 (define @t520 () (or @t517 @t516 @t515)) % 35.15/35.38 (define @t521 () (forall @t160 @t520)) % 35.15/35.38 (define @t522 () (or @t504 @t521)) % 35.15/35.38 (define @t523 () (or @t504 @t520)) % 35.15/35.38 (define @t524 () (or @t517 @t516 @t504 @t515)) % 35.15/35.38 (define @t525 () (or @t516 @t504 @t515)) % 35.15/35.38 (define @t526 () (or @t504 @t515)) % 35.15/35.38 (define @t527 () (not (= @t59 @t59))) % 35.15/35.38 (define @t528 () (or @t504 @t527 @t515)) % 35.15/35.38 (define @t529 () (not @t150)) % 35.15/35.38 (define @t530 () (not @t155)) % 35.15/35.38 (define @t531 () (not (= @t95 @t59))) % 35.15/35.38 (define @t532 () (or @t529 @t530 @t529 @t149)) % 35.15/35.38 (define @t533 () (or @t530 @t529 @t149)) % 35.15/35.38 (define @t534 () (forall @t156 @t533)) % 35.15/35.38 (define @t535 () (or @t516 @t534)) % 35.15/35.38 (define @t536 () (or @t516 @t533)) % 35.15/35.38 (define @t537 () (or @t530 @t516 @t529 @t149)) % 35.15/35.38 (define @t538 () (or @t516 @t529 @t149)) % 35.15/35.38 (define @t539 () (or @t516 @t529)) % 35.15/35.38 (define @t540 () (not @t152)) % 35.15/35.38 (define @t541 () (tptp.k4_lattices @t233 @t319 @t318)) % 35.15/35.38 (define @t542 () (tptp.k4_lattices @t234 @t319 @t318)) % 35.15/35.38 (define @t543 () (tptp.k3_lattices @t233 @t319 @t318)) % 35.15/35.38 (define @t544 () (and (= @t543 @t367) (= @t541 @t542))) % 35.15/35.38 (define @t545 () (tptp.m1_subset_1 @t319 @t419)) % 35.15/35.38 (define @t546 () (not @t545)) % 35.15/35.38 (define @t547 () (or @t285 @t284 @t282 @t278 @t277 @t546 @t332 @t444 @t330 @t544)) % 35.15/35.38 (define @t548 () (forall @t463 @t460)) % 35.15/35.38 (define @t549 () (= @t367 @t543)) % 35.15/35.38 (define @t550 () (and @t549 (= @t542 @t541))) % 35.15/35.38 (define @t551 () (or @t285 @t284 @t282 @t278 @t277 @t546 @t332 @t444 @t330 @t550)) % 35.15/35.38 (define @t552 () (@list @t548)) % 35.15/35.38 (define @t553 () (or @t285 @t284 @t282 @t298 @t332 @t545)) % 35.15/35.38 (define @t554 () (@list true false false true false false false false false false)) % 35.15/35.38 (define @t555 () (= (tptp.k3_lattices @t233 @t318 @t317) (tptp.k3_lattices @t234 @t318 @t317))) % 35.15/35.38 (define @t556 () (and @t555 (= @t441 @t344))) % 35.15/35.38 (define @t557 () (or @t285 @t284 @t282 @t278 @t277 @t444 @t330 @t443 @t328 @t556)) % 35.15/35.38 (define @t558 () (= @t344 @t441)) % 35.15/35.38 (define @t559 () (and @t555 @t558)) % 35.15/35.38 (define @t560 () (or @t285 @t284 @t282 @t278 @t277 @t444 @t330 @t443 @t328 @t559)) % 35.15/35.38 (define @t561 () (= (tptp.k4_lattices @t233 @t319 @t322) (tptp.k4_lattices @t234 @t319 @t322))) % 35.15/35.38 (define @t562 () (tptp.k3_lattices @t233 @t319 @t322)) % 35.15/35.38 (define @t563 () (and (= @t562 @t376) @t561)) % 35.15/35.38 (define @t564 () (tptp.m1_subset_1 @t322 @t419)) % 35.15/35.38 (define @t565 () (not @t564)) % 35.15/35.38 (define @t566 () (or @t285 @t284 @t282 @t278 @t277 @t546 @t332 @t565 @t378 @t563)) % 35.15/35.38 (define @t567 () (= @t376 @t562)) % 35.15/35.38 (define @t568 () (and @t567 @t561)) % 35.15/35.38 (define @t569 () (or @t285 @t284 @t282 @t278 @t277 @t546 @t332 @t565 @t378 @t568)) % 35.15/35.38 (define @t570 () (or @t285 @t284 @t282 @t298 @t378 @t564)) % 35.15/35.38 (define @t571 () (tptp.k4_lattices @t233 @t320 @t317)) % 35.15/35.38 (define @t572 () (= (tptp.k3_lattices @t233 @t320 @t317) (tptp.k3_lattices @t234 @t320 @t317))) % 35.15/35.38 (define @t573 () (and @t572 (= @t571 @t384))) % 35.15/35.38 (define @t574 () (tptp.m1_subset_1 @t320 @t419)) % 35.15/35.38 (define @t575 () (not @t574)) % 35.15/35.38 (define @t576 () (or @t285 @t284 @t282 @t278 @t277 @t575 @t386 @t443 @t328 @t573)) % 35.15/35.38 (define @t577 () (= @t384 @t571)) % 35.15/35.38 (define @t578 () (and @t572 @t577)) % 35.15/35.38 (define @t579 () (or @t285 @t284 @t282 @t278 @t277 @t575 @t386 @t443 @t328 @t578)) % 35.15/35.38 (define @t580 () (or @t285 @t284 @t282 @t298 @t386 @t574)) % 35.15/35.38 (define @t581 () (tptp.k1_lattices @t233 @t319 @t318)) % 35.15/35.38 (define @t582 () (= @t543 @t581)) % 35.15/35.38 (define @t583 () (not @t425)) % 35.15/35.38 (define @t584 () (not @t435)) % 35.15/35.38 (define @t585 () (or @t285 @t584 @t583 @t546 @t444 @t582)) % 35.15/35.38 (define @t586 () (= @t562 (tptp.k1_lattices @t233 @t319 @t322))) % 35.15/35.38 (define @t587 () (or @t285 @t584 @t583 @t546 @t565 @t586)) % 35.15/35.38 (define @t588 () (= @t571 (tptp.k2_lattices @t233 @t320 @t317))) % 35.15/35.38 (define @t589 () (or @t285 @t446 @t445 @t575 @t443 @t588)) % 35.15/35.38 (define @t590 () (forall @t192 (or (not (tptp.m1_subset_1 @t1 @t419)) (not (tptp.m1_subset_1 @t185 @t419)) (not (tptp.m1_subset_1 @t184 @t419)) (not (tptp.r1_lattices @t233 @t1 @t184)) (= (tptp.k1_lattices @t233 @t1 (tptp.k2_lattices @t233 @t185 @t184)) (tptp.k2_lattices @t233 (tptp.k1_lattices @t233 @t1 @t185) @t184))))) % 35.15/35.38 (define @t591 () (= @t279 @t590)) % 35.15/35.38 (define @t592 () (or @t285 @t282 @t591)) % 35.15/35.38 (define @t593 () (not @t30)) % 35.15/35.38 (define @t594 () (not @t31)) % 35.15/35.38 (define @t595 () (or @t15 @t337 @t594 @t593 @t194 @t190 @t207 @t135)) % 35.15/35.38 (define @t596 () (or @t195 @t337 @t594 @t593 @t194 @t190 @t207)) % 35.15/35.38 (define @t597 () (tptp.r1_lattices @t233 @t319 @t317)) % 35.15/35.38 (define @t598 () (tptp.r3_lattices @t233 @t319 @t317)) % 35.15/35.38 (define @t599 () (= @t598 @t597)) % 35.15/35.38 (define @t600 () (not @t432)) % 35.15/35.38 (define @t601 () (not @t433)) % 35.15/35.38 (define @t602 () (or @t285 @t446 @t601 @t600 @t282 @t546 @t443 @t599)) % 35.15/35.38 (define @t603 () (@list true false false false false false false false)) % 35.15/35.38 (define @t604 () (@var "BOUND_VARIABLE_8864" $$unsorted)) % 35.15/35.38 (define @t605 () (@var "BOUND_VARIABLE_8862" $$unsorted)) % 35.15/35.38 (define @t606 () (@var "BOUND_VARIABLE_8860" $$unsorted)) % 35.15/35.38 (define @t607 () (tptp.k23_filter_2 @t2 @t606)) % 35.15/35.38 (define @t608 () (= (tptp.r3_lattices @t2 @t605 @t604) (tptp.r3_lattices @t607 @t605 @t604))) % 35.15/35.38 (define @t609 () (tptp.u1_struct_0 @t607)) % 35.15/35.38 (define @t610 () (not (tptp.m1_subset_1 @t604 @t609))) % 35.15/35.38 (define @t611 () (not (tptp.m1_subset_1 @t604 @t24))) % 35.15/35.38 (define @t612 () (not (tptp.m1_subset_1 @t605 @t609))) % 35.15/35.38 (define @t613 () (not (tptp.m1_subset_1 @t605 @t24))) % 35.15/35.38 (define @t614 () (not (tptp.m2_lattice4 @t606 @t2))) % 35.15/35.38 (define @t615 () (tptp.v1_xboole_0 @t606)) % 35.15/35.38 (define @t616 () (or @t15 @t228 @t194 @t615 @t614 @t613 @t612 @t611 @t610 @t608)) % 35.15/35.38 (define @t617 () (or @t615 @t614 @t613 @t612 @t611 @t610 @t608)) % 35.15/35.38 (define @t618 () (or @t15 @t228 @t194 @t617)) % 35.15/35.38 (define @t619 () (@list @t2 @t606 @t605 @t604)) % 35.15/35.38 (define @t620 () (forall @t619 @t618)) % 35.15/35.38 (define @t621 () (@list @t606 @t605 @t604)) % 35.15/35.38 (define @t622 () (forall @t621 @t618)) % 35.15/35.38 (define @t623 () (forall @t621 @t617)) % 35.15/35.38 (define @t624 () (@var "BOUND_VARIABLE_8837" $$unsorted)) % 35.15/35.38 (define @t625 () (@var "BOUND_VARIABLE_8835" $$unsorted)) % 35.15/35.38 (define @t626 () (or @t15 @t228 @t194 @t623)) % 35.15/35.38 (define @t627 () (= (tptp.r3_lattices @t2 @t625 @t624) (tptp.r3_lattices @t3 @t625 @t624))) % 35.15/35.38 (define @t628 () (not (tptp.m1_subset_1 @t624 @t154))) % 35.15/35.38 (define @t629 () (not (tptp.m1_subset_1 @t624 @t24))) % 35.15/35.38 (define @t630 () (not (tptp.m1_subset_1 @t625 @t154))) % 35.15/35.38 (define @t631 () (not (tptp.m1_subset_1 @t625 @t24))) % 35.15/35.38 (define @t632 () (or @t8 @t253 @t631 @t630 @t629 @t628 @t627)) % 35.15/35.38 (define @t633 () (@list @t1 @t625 @t624)) % 35.15/35.38 (define @t634 () (forall @t633 @t632)) % 35.15/35.38 (define @t635 () (or @t15 @t228 @t194 @t634)) % 35.15/35.38 (define @t636 () (or @t631 @t630 @t629 @t628 @t627)) % 35.15/35.38 (define @t637 () (or @t8 @t253 @t636)) % 35.15/35.38 (define @t638 () (forall @t633 @t637)) % 35.15/35.38 (define @t639 () (@list @t625 @t624)) % 35.15/35.38 (define @t640 () (forall @t639 @t637)) % 35.15/35.38 (define @t641 () (forall @t639 @t636)) % 35.15/35.38 (define @t642 () (@var "BOUND_VARIABLE_8816" $$unsorted)) % 35.15/35.38 (define @t643 () (or @t8 @t253 @t641)) % 35.15/35.38 (define @t644 () (= (tptp.r3_lattices @t2 @t43 @t642) (tptp.r3_lattices @t3 @t43 @t642))) % 35.15/35.38 (define @t645 () (not (tptp.m1_subset_1 @t642 @t154))) % 35.15/35.38 (define @t646 () (not (tptp.m1_subset_1 @t642 @t24))) % 35.15/35.38 (define @t647 () (or @t207 @t491 @t646 @t645 @t644)) % 35.15/35.38 (define @t648 () (@list @t43 @t642)) % 35.15/35.38 (define @t649 () (forall @t648 @t647)) % 35.15/35.38 (define @t650 () (or @t8 @t253 @t649)) % 35.15/35.38 (define @t651 () (or @t646 @t645 @t644)) % 35.15/35.38 (define @t652 () (or @t207 @t491 @t651)) % 35.15/35.38 (define @t653 () (forall @t648 @t652)) % 35.15/35.38 (define @t654 () (@list @t642)) % 35.15/35.38 (define @t655 () (forall @t654 @t652)) % 35.15/35.38 (define @t656 () (forall @t654 @t651)) % 35.15/35.38 (define @t657 () (or @t207 @t491 @t656)) % 35.15/35.38 (define @t658 () (= @t170 (tptp.r3_lattices @t3 @t43 @t59))) % 35.15/35.38 (define @t659 () (or @t220 @t504 @t658)) % 35.15/35.38 (define @t660 () (forall @t65 @t659)) % 35.15/35.38 (define @t661 () (or @t207 @t491 @t660)) % 35.15/35.38 (define @t662 () (or @t491 @t660)) % 35.15/35.38 (define @t663 () (or @t491 @t659)) % 35.15/35.38 (define @t664 () (or @t220 @t504 @t491 @t658)) % 35.15/35.38 (define @t665 () (or @t504 @t491 @t658)) % 35.15/35.38 (define @t666 () (or @t491 @t658)) % 35.15/35.38 (define @t667 () (or @t491 @t513 @t658)) % 35.15/35.38 (define @t668 () (= @t170 (tptp.r3_lattices @t3 @t96 @t59))) % 35.15/35.38 (define @t669 () (or @t516 @t517 @t516 @t668)) % 35.15/35.38 (define @t670 () (or @t517 @t516 @t668)) % 35.15/35.38 (define @t671 () (forall @t160 @t670)) % 35.15/35.38 (define @t672 () (or @t504 @t671)) % 35.15/35.38 (define @t673 () (or @t504 @t670)) % 35.15/35.38 (define @t674 () (or @t517 @t516 @t504 @t668)) % 35.15/35.38 (define @t675 () (or @t516 @t504 @t668)) % 35.15/35.38 (define @t676 () (or @t504 @t668)) % 35.15/35.38 (define @t677 () (or @t504 @t527 @t668)) % 35.15/35.38 (define @t678 () (or @t529 @t530 @t529 @t171)) % 35.15/35.38 (define @t679 () (or @t530 @t529 @t171)) % 35.15/35.38 (define @t680 () (forall @t156 @t679)) % 35.15/35.38 (define @t681 () (or @t516 @t680)) % 35.15/35.38 (define @t682 () (or @t516 @t679)) % 35.15/35.38 (define @t683 () (or @t530 @t516 @t529 @t171)) % 35.15/35.38 (define @t684 () (or @t516 @t529 @t171)) % 35.15/35.38 (define @t685 () (tptp.r3_lattices @t234 @t319 @t317)) % 35.15/35.38 (define @t686 () (or @t285 @t284 @t282 @t278 @t277 @t546 @t332 @t443 @t328 (= @t598 @t685))) % 35.15/35.38 (define @t687 () (forall @t619 @t616)) % 35.15/35.38 (define @t688 () (= @t685 @t598)) % 35.15/35.38 (define @t689 () (or @t285 @t284 @t282 @t278 @t277 @t546 @t332 @t443 @t328 @t688)) % 35.15/35.38 (define @t690 () (not @t302)) % 35.15/35.38 (define @t691 () (not @t303)) % 35.15/35.38 (define @t692 () (or @t295 @t347 @t691 @t690 @t313 @t332 @t328 (= @t685 @t325))) % 35.15/35.38 (define @t693 () (forall @t46 @t595)) % 35.15/35.38 (define @t694 () (= @t325 @t685)) % 35.15/35.38 (define @t695 () (or @t295 @t347 @t691 @t690 @t313 @t332 @t328 @t694)) % 35.15/35.38 (define @t696 () (tptp.k2_lattices @t233 @t581 @t317)) % 35.15/35.38 (define @t697 () (tptp.k1_lattices @t233 @t319 @t440)) % 35.15/35.38 (define @t698 () (= @t697 @t696)) % 35.15/35.38 (define @t699 () (not @t597)) % 35.15/35.38 (define @t700 () (or @t546 @t444 @t443 @t699 @t698)) % 35.15/35.38 (define @t701 () (not @t698)) % 35.15/35.38 (define @t702 () (not @t588)) % 35.15/35.38 (define @t703 () (not @t586)) % 35.15/35.38 (define @t704 () (not @t582)) % 35.15/35.38 (define @t705 () (not @t558)) % 35.15/35.38 (define @t706 () (not @t577)) % 35.15/35.38 (define @t707 () (not @t549)) % 35.15/35.38 (define @t708 () (not @t567)) % 35.15/35.38 (define @t709 () (not @t442)) % 35.15/35.38 (define @t710 () (not @t388)) % 35.15/35.38 (define @t711 () (not @t351)) % 35.15/35.38 (define @t712 () (not @t380)) % 35.15/35.38 (define @t713 () (not @t373)) % 35.15/35.38 (define @t714 () (and @t698 @t701)) % 35.15/35.38 (assume @p1 @t21) % 35.15/35.38 (assume @p2 (forall @t19 (=> @t13 (=> @t25 (= @t2 (tptp.g3_lattices @t24 @t23 @t22)))))) % 35.15/35.38 (assume @p3 (forall @t27 (=> @t26 (not (tptp.r2_hidden @t1 @t2))))) % 35.15/35.38 (assume @p4 (forall @t19 (=> @t29 @t28))) % 35.15/35.38 (assume @p5 @t39) % 35.15/35.38 (assume @p6 (forall @t19 (=> @t42 @t40))) % 35.15/35.38 (assume @p7 (forall @t46 (=> @t45 (tptp.v1_relat_1 @t43)))) % 35.15/35.38 (assume @p8 (forall @t19 (=> @t49 @t48))) % 35.15/35.38 (assume @p9 (forall @t19 (=> @t13 (=> @t36 @t37)))) % 35.15/35.38 (assume @p10 (forall @t27 (= @t50 (tptp.k2_tarski @t1 @t2)))) % 35.15/35.38 (assume @p11 (forall @t46 (=> @t55 (= @t51 (tptp.k3_lattices @t2 @t43 @t1))))) % 35.15/35.38 (assume @p12 (forall @t46 (=> @t58 (= @t56 (tptp.k4_lattices @t2 @t43 @t1))))) % 35.15/35.38 (assume @p13 @t75) % 35.15/35.38 (assume @p14 (forall @t19 (=> @t76 (forall (@list @t1 @t43) (= (tptp.k1_binop_1 @t2 @t1 @t43) (tptp.k1_funct_1 @t2 (tptp.k4_tarski @t1 @t43))))))) % 35.15/35.38 (assume @p15 (forall @t19 (=> (and @t16 @t54) (forall @t11 (=> @t53 (forall @t68 (=> @t52 (= @t60 (tptp.k2_binop_1 @t24 @t24 @t24 @t23 @t1 @t43))))))))) % 35.15/35.38 (assume @p16 (forall @t19 (=> (and @t16 @t57) (forall @t11 (=> @t53 (forall @t68 (=> @t52 (= @t77 (tptp.k2_binop_1 @t24 @t24 @t24 @t22 @t1 @t43))))))))) % 35.15/35.38 (assume @p17 (forall @t27 (= (tptp.k4_tarski @t2 @t1) (tptp.k2_tarski @t50 @t78)))) % 35.15/35.38 (assume @p18 (forall @t46 (=> @t88 (and @t80 (tptp.l3_lattices @t79))))) % 35.15/35.38 (assume @p19 true) % 35.15/35.38 (assume @p20 @t91) % 35.15/35.38 (assume @p21 @t94) % 35.15/35.38 (assume @p22 (forall @t99 (=> @t98 (tptp.m1_subset_1 @t97 @t43)))) % 35.15/35.38 (assume @p23 @t102) % 35.15/35.38 (assume @p24 (forall @t46 (=> @t55 (tptp.m1_subset_1 @t51 @t24)))) % 35.15/35.38 (assume @p25 (forall @t46 (=> @t58 (tptp.m1_subset_1 @t56 @t24)))) % 35.15/35.38 (assume @p26 (forall @t19 (=> @t57 @t103))) % 35.15/35.38 (assume @p27 (forall @t19 (=> @t54 @t103))) % 35.15/35.38 (assume @p28 @t105) % 35.15/35.38 (assume @p29 (forall @t19 (=> @t17 (forall @t11 (=> @t7 @t106))))) % 35.15/35.38 (assume @p30 @t113) % 35.15/35.38 (assume @p31 (forall @t46 (=> @t114 @t45))) % 35.15/35.38 (assume @p32 (forall @t19 (=> @t57 (and @t117 @t116 (tptp.m2_relset_1 @t22 @t115 @t24))))) % 35.15/35.38 (assume @p33 (forall @t19 (=> @t54 (and @t119 @t118 (tptp.m2_relset_1 @t23 @t115 @t24))))) % 35.15/35.38 (assume @p34 (exists @t19 @t57)) % 35.15/35.38 (assume @p35 (exists @t19 @t103)) % 35.15/35.38 (assume @p36 (exists @t19 @t54)) % 35.15/35.38 (assume @p37 (exists @t19 @t13)) % 35.15/35.38 (assume @p38 (forall @t27 (exists @t68 @t120))) % 35.15/35.38 (assume @p39 (forall @t19 (exists @t11 (tptp.m1_subset_1 @t1 @t2)))) % 35.15/35.38 (assume @p40 (forall @t19 (=> @t17 (exists @t11 @t7)))) % 35.15/35.38 (assume @p41 (forall @t19 (=> @t17 (exists @t11 @t110)))) % 35.15/35.38 (assume @p42 (forall @t27 (exists @t68 @t114))) % 35.15/35.38 (assume @p43 (forall @t19 (=> @t121 (not (tptp.v1_xboole_0 @t24))))) % 35.15/35.38 (assume @p44 (forall @t19 (not (tptp.v1_xboole_0 @t122)))) % 35.15/35.38 (assume @p45 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 35.15/35.38 (assume @p46 (forall @t19 (=> (and @t16 @t35 @t54) (and @t124 @t119 @t118 (tptp.v1_binop_1 @t23 @t24) @t123)))) % 35.15/35.38 (assume @p47 (forall @t19 @t125)) % 35.15/35.38 (assume @p48 (forall @t19 (=> (and @t16 @t34 @t54) (and @t124 @t119 @t118 (tptp.v2_binop_1 @t23 @t24) @t123)))) % 35.15/35.38 (assume @p49 (forall @t46 (=> (and @t40 @t87 @t86 @t85 @t84 @t83 @t82) (and (not (tptp.v3_struct_0 @t79)) @t80)))) % 35.15/35.38 (assume @p50 (forall @t19 (and @t125 (tptp.v1_finset_1 @t78) (tptp.v1_realset1 @t78)))) % 35.15/35.38 (assume @p51 (forall @t27 (not (tptp.v1_xboole_0 @t50)))) % 35.15/35.38 (assume @p52 (forall @t19 (=> (and @t16 @t33 @t57) (and @t127 @t117 @t116 (tptp.v1_binop_1 @t22 @t24) @t126)))) % 35.15/35.38 (assume @p53 (forall @t27 (=> (and @t40 @t9) (not (tptp.v1_xboole_0 @t44))))) % 35.15/35.38 (assume @p54 @t129) % 35.15/35.38 (assume @p55 (forall @t19 (=> (and @t16 @t32 @t57) (and @t127 @t117 @t116 (tptp.v2_binop_1 @t22 @t24) @t126)))) % 35.15/35.38 (assume @p56 (forall @t46 (=> @t88 (forall (@list @t59 @t96 @t95) (=> (= @t79 (tptp.g3_lattices @t59 @t96 @t95)) (and (= @t2 @t59) (= @t1 @t96) (= @t43 @t95))))))) % 35.15/35.38 (assume @p57 (exists @t19 @t76)) % 35.15/35.38 (assume @p58 (forall @t19 (=> @t17 (exists @t11 (and @t7 @t9))))) % 35.15/35.38 (assume @p59 (forall @t19 (=> @t17 (exists @t11 (and @t110 @t108 (tptp.v3_lattices @t1) (tptp.v4_lattices @t1) (tptp.v5_lattices @t1) (tptp.v6_lattices @t1) (tptp.v7_lattices @t1) (tptp.v8_lattices @t1) (tptp.v9_lattices @t1) @t107))))) % 35.15/35.38 (assume @p60 (exists @t19 (and @t40 @t41))) % 35.15/35.38 (assume @p61 (forall @t19 (=> @t40 (exists @t11 (and @t130 @t9))))) % 35.15/35.38 (assume @p62 (exists @t19 @t29)) % 35.15/35.38 (assume @p63 (exists @t19 @t49)) % 35.15/35.38 (assume @p64 (exists @t19 (and @t40 @t42))) % 35.15/35.38 (assume @p65 (forall @t19 (exists @t11 (and @t130 @t8)))) % 35.15/35.38 (assume @p66 (exists @t19 @t40)) % 35.15/35.38 (assume @p67 (exists @t19 @t48)) % 35.15/35.38 (assume @p68 (exists @t19 (and @t13 @t25))) % 35.15/35.38 (assume @p69 (exists @t19 (and @t103 @t16))) % 35.15/35.38 (assume @p70 (forall @t19 (=> @t121 (exists @t11 (and @t106 @t9))))) % 35.15/35.38 (assume @p71 (exists @t19 (and @t13 @t16 @t25))) % 35.15/35.38 (assume @p72 (exists @t19 (and @t13 @t16 @t25 @t35 @t34 @t33 @t32 @t31 @t30 @t14))) % 35.15/35.38 (assume @p73 (forall @t99 (=> @t98 (= @t97 (tptp.k1_binop_1 @t59 @t96 @t95))))) % 35.15/35.38 (assume @p74 @t132) % 35.15/35.38 (assume @p75 @t134) % 35.15/35.38 (assume @p76 (forall @t46 (= @t114 @t120))) % 35.15/35.38 (assume @p77 @t137) % 35.15/35.38 (assume @p78 (forall @t27 (tptp.r1_tarski @t2 @t2))) % 35.15/35.38 (assume @p79 (forall @t46 (=> @t136 (tptp.r3_lattices @t2 @t1 @t1)))) % 35.15/35.38 (assume @p80 (forall @t27 (=> @t26 @t138))) % 35.15/35.38 (assume @p81 (forall @t27 (=> @t138 (or @t8 @t26)))) % 35.15/35.38 (assume @p82 (forall @t27 (= (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t1)) (tptp.r1_tarski @t2 @t1)))) % 35.15/35.38 (assume @p83 (forall @t46 (=> (and @t26 @t139) (tptp.m1_subset_1 @t2 @t43)))) % 35.15/35.38 (assume @p84 (forall @t46 (not (and @t26 @t139 (tptp.v1_xboole_0 @t43))))) % 35.15/35.38 (assume @p85 @t146) % 35.15/35.38 (assume @p86 (forall @t19 (=> @t29 (= @t2 tptp.k1_xboole_0)))) % 35.15/35.38 (assume @p87 @t169) % 35.15/35.38 (assume @p88 @t183) % 35.15/35.38 (assume @p89 (forall @t27 (not (and @t26 @t8)))) % 35.15/35.38 (assume @p90 (forall @t27 (not (and @t29 (not (= @t2 @t1)) @t8)))) % 35.15/35.38 (step @p91 :rule aci_norm :args ((= (or (or @t15 @t194) @t193) (or @t15 @t194 @t193)))) % 35.15/35.38 (step @p92 :rule refl :args (@t193)) % 35.15/35.38 (step @p93 :rule refl :args (@t194)) % 35.15/35.38 (step @p94 :rule bool-double-not-elim :args (@t15)) % 35.15/35.38 (step @p95 :rule nary_cong :premises (@p94 @p93) :args ((or @t195 @t194))) % 35.15/35.38 (step @p96 :rule bool-and-de-morgan :args (@t16 @t13 true)) % 35.15/35.38 (step @p97 :rule trans :premises (@p96 @p95)) % 35.15/35.38 (step @p98 :rule nary_cong :premises (@p97 @p92) :args ((or (not @t73) @t193))) % 35.15/35.38 (step @p99 :rule trans :premises (@p98 @p91)) % 35.15/35.38 (step @p100 :rule bool-impl-elim :args (@t73 @t193)) % 35.15/35.38 (step @p101 :rule trans :premises (@p100 @p99)) % 35.15/35.38 (step @p102 :rule cong :premises (@p101) :args ((forall @t19 (=> @t73 @t193)))) % 35.15/35.38 (step @p103 :rule aci_norm :args ((= @t197 @t191))) % 35.15/35.38 (step @p104 :rule cong :premises (@p103) :args (@t198)) % 35.15/35.38 (step @p105 :rule quant-merge-prenex :args ((= (forall @t11 @t200) @t198))) % 35.15/35.38 (step @p106 :rule alpha_equiv :args (@t201 (@list @t185 @t184) (@list @t43 @t202))) % 35.15/35.38 (step @p107 :rule refl :args (@t190)) % 35.15/35.38 (step @p108 :rule nary_cong :premises (@p107 @p106) :args (@t203)) % 35.15/35.38 (step @p109 :rule quant-miniscope-or :args ((= @t200 @t203))) % 35.15/35.38 (step @p110 :rule trans :premises (@p109 @p108)) % 35.15/35.38 (step @p111 :rule symm :premises (@p110)) % 35.15/35.38 (step @p112 :rule cong :premises (@p111) :args ((forall @t11 (or @t190 @t210)))) % 35.15/35.38 (step @p113 :rule trans :premises (@p112 @p105)) % 35.15/35.38 (step @p114 :rule trans :premises (@p113 @p104)) % 35.15/35.38 (step @p115 :rule bool-impl-elim :args (@t53 @t210)) % 35.15/35.38 (step @p116 :rule cong :premises (@p115) :args ((forall @t11 (=> @t53 @t210)))) % 35.15/35.38 (step @p117 :rule trans :premises (@p116 @p114)) % 35.15/35.38 (step @p118 :rule aci_norm :args ((= @t212 @t208))) % 35.15/35.38 (step @p119 :rule cong :premises (@p118) :args (@t213)) % 35.15/35.38 (step @p120 :rule quant-merge-prenex :args ((= (forall @t68 @t215) @t213))) % 35.15/35.38 (step @p121 :rule alpha_equiv :args (@t216 (@list @t202) @t217)) % 35.15/35.38 (step @p122 :rule refl :args (@t207)) % 35.15/35.38 (step @p123 :rule nary_cong :premises (@p122 @p121) :args (@t218)) % 35.15/35.38 (step @p124 :rule quant-miniscope-or :args ((= @t215 @t218))) % 35.15/35.38 (step @p125 :rule trans :premises (@p124 @p123)) % 35.15/35.38 (step @p126 :rule symm :premises (@p125)) % 35.15/35.38 (step @p127 :rule cong :premises (@p126) :args ((forall @t68 (or @t207 @t222)))) % 35.15/35.38 (step @p128 :rule trans :premises (@p127 @p120)) % 35.15/35.38 (step @p129 :rule trans :premises (@p128 @p119)) % 35.15/35.38 (step @p130 :rule bool-impl-elim :args (@t52 @t222)) % 35.15/35.38 (step @p131 :rule cong :premises (@p130) :args ((forall @t68 (=> @t52 @t222)))) % 35.15/35.38 (step @p132 :rule trans :premises (@p131 @p129)) % 35.15/35.38 (step @p133 :rule aci_norm :args ((= (or @t220 (or @t219 @t61)) @t221))) % 35.15/35.38 (step @p134 :rule bool-impl-elim :args (@t62 @t61)) % 35.15/35.38 (step @p135 :rule refl :args (@t220)) % 35.15/35.38 (step @p136 :rule nary_cong :premises (@p135 @p134) :args ((or @t220 @t63))) % 35.15/35.38 (step @p137 :rule trans :premises (@p136 @p133)) % 35.15/35.38 (step @p138 :rule bool-impl-elim :args (@t64 @t63)) % 35.15/35.38 (step @p139 :rule trans :premises (@p138 @p137)) % 35.15/35.38 (step @p140 :rule cong :premises (@p139) :args (@t66)) % 35.15/35.38 (step @p141 :rule refl :args (@t52)) % 35.15/35.38 (step @p142 :rule cong :premises (@p141 @p140) :args (@t67)) % 35.15/35.38 (step @p143 :rule cong :premises (@p142) :args (@t69)) % 35.15/35.38 (step @p144 :rule trans :premises (@p143 @p132)) % 35.15/35.38 (step @p145 :rule refl :args (@t53)) % 35.15/35.38 (step @p146 :rule cong :premises (@p145 @p144) :args (@t70)) % 35.15/35.38 (step @p147 :rule cong :premises (@p146) :args (@t71)) % 35.15/35.38 (step @p148 :rule trans :premises (@p147 @p117)) % 35.15/35.38 (step @p149 :rule refl :args (@t5)) % 35.15/35.38 (step @p150 :rule cong :premises (@p149 @p148) :args (@t72)) % 35.15/35.38 (step @p151 :rule refl :args (@t73)) % 35.15/35.38 (step @p152 :rule cong :premises (@p151 @p150) :args (@t74)) % 35.15/35.38 (step @p153 :rule cong :premises (@p152) :args (@t75)) % 35.15/35.38 (step @p154 :rule trans :premises (@p153 @p102)) % 35.15/35.38 (step @p155 :rule eq_resolve :premises (@p13 @p154)) % 35.15/35.38 (step @p156 :rule instantiate :premises (@p155) :args (@t235)) % 35.15/35.38 (step @p157 :rule aci_norm :args ((= @t240 (or @t15 @t228 @t194 @t238 @t237)))) % 35.15/35.38 (step @p158 :rule cong :premises (@p157) :args (@t241)) % 35.15/35.38 (step @p159 :rule quant-merge-prenex :args ((= (forall @t19 @t243) @t241))) % 35.15/35.38 (step @p160 :rule alpha_equiv :args (@t244 (@list @t236) @t245)) % 35.15/35.38 (step @p161 :rule refl :args (@t228)) % 35.15/35.38 (step @p162 :rule refl :args (@t15)) % 35.15/35.38 (step @p163 :rule nary_cong :premises (@p162 @p161 @p93 @p160) :args (@t246)) % 35.15/35.38 (step @p164 :rule quant-miniscope-or :args ((= @t243 @t246))) % 35.15/35.38 (step @p165 :rule trans :premises (@p164 @p163)) % 35.15/35.38 (step @p166 :rule symm :premises (@p165)) % 35.15/35.38 (step @p167 :rule cong :premises (@p166) :args ((forall @t19 @t249))) % 35.15/35.38 (step @p168 :rule trans :premises (@p167 @p159)) % 35.15/35.38 (step @p169 :rule trans :premises (@p168 @p158)) % 35.15/35.38 (step 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(step @p323 :rule aci_norm :args ((= (or @t195 (or @t337 @t341)) @t339))) % 35.15/35.38 (step @p324 :rule trans :premises (@p323 @p322)) % 35.15/35.38 (step @p325 :rule bool-and-de-morgan :args (@t53 @t52 true)) % 35.15/35.38 (step @p326 :rule nary_cong :premises (@p320 @p325) :args ((or @t336 @t342))) % 35.15/35.38 (step @p327 :rule bool-and-de-morgan :args (@t57 @t53 (and @t52))) % 35.15/35.38 (step @p328 :rule trans :premises (@p327 @p326)) % 35.15/35.38 (step @p329 :rule nary_cong :premises (@p321 @p328) :args ((or @t337 @t343))) % 35.15/35.38 (step @p330 :rule bool-and-de-morgan :args (@t33 @t57 (and @t53 @t52))) % 35.15/35.38 (step @p331 :rule trans :premises (@p330 @p329)) % 35.15/35.38 (step @p332 :rule nary_cong :premises (@p176 @p331) :args ((or @t195 (not (and @t33 @t57 @t53 @t52))))) % 35.15/35.38 (step @p333 :rule bool-and-de-morgan :args (@t16 @t33 (and @t57 @t53 @t52))) % 35.15/35.38 (step @p334 :rule trans :premises (@p333 @p332)) % 35.15/35.38 (step @p335 :rule trans 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35.15/35.38 (step @p428 :rule nary_cong :premises (@p369 @p427) :args ((or @t333 (not @t332)))) % 35.15/35.38 (step @p429 :rule cnf_or_neg :args (@t333 0)) % 35.15/35.38 (step @p430 :rule eq_resolve :premises (@p429 @p428)) % 35.15/35.38 (step @p431 :rule reordering :premises (@p430) :args ((or @t331 @t333))) % 35.15/35.38 (step @p432 :rule chain_m_resolution :premises (@p431 @p315) :args (@t331 @t287 @t335)) % 35.15/35.38 (step @p433 :rule cnf_and_pos :args (@t306 2)) % 35.15/35.38 (step @p434 :rule reordering :premises (@p433) :args ((or @t305 @t308))) % 35.15/35.38 (step @p435 :rule chain_m_resolution :premises (@p434 @p303) :args (@t305 @t301 @t309)) % 35.15/35.38 (step @p436 :rule cnf_or_pos :args (@t374)) % 35.15/35.38 (step @p437 :rule reordering :premises (@p436) :args ((or @t295 @t369 @t332 @t330 @t368 @t373 (not @t374)))) % 35.15/35.38 (step @p438 :rule chain_m_resolution :premises (@p437 @p306 @p435 @p432 @p380 @p426 @p423) :args (@t373 @t360 (@list @t295 @t305 @t331 @t329 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@p465 :rule instantiate :premises (@p464) :args (@t350)) % 35.15/35.38 (step @p466 :rule cnf_or_pos :args (@t383)) % 35.15/35.38 (step @p467 :rule reordering :premises (@p466) :args ((or @t295 @t330 @t328 @t346 @t377 (not @t383)))) % 35.15/35.38 (step @p468 :rule chain_m_resolution :premises (@p467 @p306 @p380 @p374 @p367 @p465) :args (@t377 @t300 (@list @t295 @t329 @t327 @t345 @t383))) % 35.15/35.38 (step @p469 :rule cnf_or_pos :args (@t381)) % 35.15/35.38 (step @p470 :rule reordering :premises (@p469) :args ((or @t295 @t369 @t332 @t368 @t378 @t380 (not @t381)))) % 35.15/35.38 (step @p471 :rule chain_m_resolution :premises (@p470 @p306 @p435 @p432 @p426 @p468 @p449) :args (@t380 @t360 (@list @t295 @t305 @t331 @t354 @t377 @t381))) % 35.15/35.38 (step @p472 :rule eq-symm :args (@t384 @t321)) % 35.15/35.38 (step @p473 :rule refl :args (@t386)) % 35.15/35.38 (step @p474 :rule nary_cong :premises (@p347 @p346 @p345 @p473 @p343 @p472) :args (@t387)) % 35.15/35.38 (step @p475 :rule cong 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:rule nary_cong :premises (@p176 @p396) :args ((or @t195 @t366))) % 35.15/35.38 (step @p489 :rule bool-and-de-morgan :args (@t16 @t54 (and @t53 @t52))) % 35.15/35.38 (step @p490 :rule trans :premises (@p489 @p488)) % 35.15/35.38 (step @p491 :rule trans :premises (@p490 @p487)) % 35.15/35.38 (step @p492 :rule nary_cong :premises (@p491 @p484) :args ((or (not @t90) @t89))) % 35.15/35.38 (step @p493 :rule trans :premises (@p492 @p483)) % 35.15/35.38 (step @p494 :rule bool-impl-elim :args (@t90 @t89)) % 35.15/35.38 (step @p495 :rule trans :premises (@p494 @p493)) % 35.15/35.38 (step @p496 :rule cong :premises (@p495) :args (@t91)) % 35.15/35.38 (step @p497 :rule eq_resolve :premises (@p20 @p496)) % 35.15/35.38 (step @p498 :rule instantiate :premises (@p497) :args (@t372)) % 35.15/35.38 (step @p499 :rule cnf_or_pos :args (@t391)) % 35.15/35.38 (step @p500 :rule reordering :premises (@p499) :args ((or @t295 @t332 @t330 @t368 @t385 (not @t391)))) % 35.15/35.38 (step @p501 :rule chain_m_resolution :premises (@p500 @p306 @p432 @p380 @p426 @p498) :args (@t385 @t300 (@list @t295 @t331 @t329 @t354 @t391))) % 35.15/35.38 (step @p502 :rule cnf_or_pos :args (@t389)) % 35.15/35.38 (step @p503 :rule reordering :premises (@p502) :args ((or @t295 @t347 @t328 @t346 @t386 @t388 (not @t389)))) % 35.15/35.38 (step @p504 :rule chain_m_resolution :premises (@p503 @p306 @p383 @p374 @p367 @p501 @p482) :args (@t388 @t360 (@list @t295 @t304 @t327 @t345 @t385 @t389))) % 35.15/35.38 (step @p505 :rule instantiate :premises (@p341) :args ((@list @t233 @t318 @t317))) % 35.15/35.38 (step @p506 :rule aci_norm :args ((= @t398 (or @t15 @t228 @t194 @t396 @t395 @t393)))) % 35.15/35.38 (step @p507 :rule cong :premises (@p506) :args (@t399)) % 35.15/35.38 (step @p508 :rule quant-merge-prenex :args ((= (forall @t19 @t401) @t399))) % 35.15/35.38 (step @p509 :rule alpha_equiv :args (@t402 (@list @t394 @t392) (@list @t1 @t403))) % 35.15/35.38 (step @p510 :rule nary_cong :premises (@p162 @p161 @p93 @p509) :args (@t404)) % 35.15/35.38 (step @p511 :rule quant-miniscope-or :args ((= @t401 @t404))) % 35.15/35.38 (step @p512 :rule trans :premises (@p511 @p510)) % 35.15/35.38 (step @p513 :rule symm :premises (@p512)) % 35.15/35.38 (step @p514 :rule cong :premises (@p513) :args ((forall @t19 @t410))) % 35.15/35.38 (step @p515 :rule trans :premises (@p514 @p508)) % 35.15/35.38 (step @p516 :rule trans :premises (@p515 @p507)) % 35.15/35.38 (step @p517 :rule aci_norm :args ((= (or @t250 @t409) @t410))) % 35.15/35.38 (step @p518 :rule refl :args (@t409)) % 35.15/35.38 (step @p519 :rule nary_cong :premises (@p180 @p518) :args ((or @t252 @t409))) % 35.15/35.38 (step @p520 :rule trans :premises (@p519 @p517)) % 35.15/35.38 (step @p521 :rule bool-impl-elim :args (@t17 @t409)) % 35.15/35.38 (step @p522 :rule trans :premises (@p521 @p520)) % 35.15/35.38 (step @p523 :rule cong :premises (@p522) :args ((forall @t19 (=> @t17 @t409)))) % 35.15/35.38 (step @p524 :rule trans :premises (@p523 @p516)) % 35.15/35.38 (step @p525 :rule aci_norm :args ((= @t412 @t407))) % 35.15/35.38 (step @p526 :rule cong :premises (@p525) :args (@t413)) % 35.15/35.38 (step @p527 :rule quant-merge-prenex :args ((= (forall @t11 @t415) @t413))) % 35.15/35.38 (step @p528 :rule alpha_equiv :args (@t416 (@list @t403) (@list @t43))) % 35.15/35.38 (step @p529 :rule refl :args (@t247)) % 35.15/35.38 (step @p530 :rule nary_cong :premises (@p529 @p528) :args (@t417)) % 35.15/35.38 (step @p531 :rule quant-miniscope-or :args ((= @t415 @t417))) % 35.15/35.38 (step @p532 :rule trans :premises (@p531 @p530)) % 35.15/35.38 (step @p533 :rule symm :premises (@p532)) % 35.15/35.38 (step @p534 :rule cong :premises (@p533) :args ((forall @t11 (or @t247 @t418)))) % 35.15/35.38 (step @p535 :rule trans :premises (@p534 @p527)) % 35.15/35.38 (step @p536 :rule trans :premises (@p535 @p526)) % 35.15/35.38 (step @p537 :rule bool-impl-elim :args (@t110 @t418)) % 35.15/35.38 (step @p538 :rule cong :premises (@p537) :args ((forall @t11 (=> @t110 @t418)))) % 35.15/35.38 (step @p539 :rule trans :premises (@p538 @p536)) % 35.15/35.38 (step @p540 :rule bool-impl-elim :args (@t141 @t52)) % 35.15/35.38 (step @p541 :rule cong :premises (@p540) :args (@t142)) % 35.15/35.38 (step @p542 :rule refl :args (@t110)) % 35.15/35.38 (step @p543 :rule cong :premises (@p542 @p541) :args (@t143)) % 35.15/35.38 (step @p544 :rule cong :premises (@p543) :args (@t144)) % 35.15/35.38 (step @p545 :rule trans :premises (@p544 @p539)) % 35.15/35.38 (step @p546 :rule cong :premises (@p189 @p545) :args (@t145)) % 35.15/35.38 (step @p547 :rule cong :premises (@p546) :args (@t146)) % 35.15/35.38 (step @p548 :rule trans :premises (@p547 @p524)) % 35.15/35.38 (step @p549 :rule eq_resolve :premises (@p85 @p548)) % 35.15/35.38 (step @p550 :rule instantiate :premises (@p549) :args ((@list @t233 @t234 @t317))) % 35.15/35.38 (step @p551 :rule cnf_or_pos :args (@t421)) % 35.15/35.38 (step @p552 :rule reordering :premises (@p551) :args ((or @t285 @t284 @t282 @t298 @t328 @t420 (not @t421)))) % 35.15/35.38 (step @p553 :rule chain_m_resolution :premises (@p552 @p282 @p280 @p274 @p285 @p374 @p550) :args (@t420 @t360 (@list @t285 @t283 @t281 @t290 @t327 @t421))) % 35.15/35.38 (step @p554 :rule instantiate :premises (@p549) :args ((@list @t233 @t234 @t318))) % 35.15/35.38 (step @p555 :rule cnf_or_pos :args (@t423)) % 35.15/35.38 (step @p556 :rule reordering :premises (@p555) :args ((or @t285 @t284 @t282 @t298 @t330 @t422 (not @t423)))) % 35.15/35.38 (step @p557 :rule chain_m_resolution :premises (@p556 @p282 @p280 @p274 @p285 @p380 @p554) :args (@t422 @t360 (@list @t285 @t283 @t281 @t290 @t329 @t423))) % 35.15/35.38 (step @p558 :rule instantiate :premises (@p360) :args (@t424)) % 35.15/35.38 (step @p559 :rule cnf_or_pos :args (@t428)) % 35.15/35.38 (step @p560 :rule reordering :premises (@p559) :args ((or @t282 @t427 (not @t428)))) % 35.15/35.38 (step @p561 :rule chain_m_resolution :premises (@p560 @p274 @p558) :args (@t427 @t357 (@list @t281 @t428))) % 35.15/35.38 (step @p562 :rule cnf_and_pos :args (@t427 0)) % 35.15/35.38 (step @p563 :rule reordering :premises (@p562) :args ((or @t426 @t429))) % 35.15/35.38 (step @p564 :rule chain_m_resolution :premises (@p563 @p561) :args (@t426 @t301 @t430)) % 35.15/35.38 (step @p565 :rule aci_norm :args ((= (or @t194 @t431) (or @t194 @t15 @t228 @t36)))) % 35.15/35.38 (step @p566 :rule aci_norm :args ((= (or (or @t15 @t228) @t36) @t431))) % 35.15/35.38 (step @p567 :rule refl :args (@t36)) % 35.15/35.38 (step @p568 :rule nary_cong :premises (@p94 @p161) :args ((or @t195 @t228))) % 35.15/35.38 (step @p569 :rule bool-and-de-morgan :args (@t16 @t14 true)) % 35.15/35.38 (step @p570 :rule trans :premises (@p569 @p568)) % 35.15/35.38 (step @p571 :rule nary_cong :premises (@p570 @p567) :args ((or (not @t37) @t36))) % 35.15/35.38 (step @p572 :rule trans :premises (@p571 @p566)) % 35.15/35.38 (step @p573 :rule bool-impl-elim :args (@t37 @t36)) % 35.15/35.38 (step @p574 :rule trans :premises (@p573 @p572)) % 35.15/35.38 (step @p575 :rule nary_cong :premises (@p93 @p574) :args ((or @t194 @t38))) % 35.15/35.38 (step @p576 :rule trans :premises (@p575 @p565)) % 35.15/35.38 (step @p577 :rule bool-impl-elim :args (@t13 @t38)) % 35.15/35.38 (step @p578 :rule trans :premises (@p577 @p576)) % 35.15/35.38 (step @p579 :rule cong :premises (@p578) :args (@t39)) % 35.15/35.38 (step @p580 :rule eq_resolve :premises (@p5 @p579)) % 35.15/35.38 (step @p581 :rule instantiate :premises (@p580) :args (@t424)) % 35.15/35.38 (step @p582 :rule cnf_or_pos :args (@t437)) % 35.15/35.39 (step @p583 :rule reordering :premises (@p582) :args ((or @t285 @t284 @t282 @t436 (not @t437)))) % 35.15/35.39 (step @p584 :rule chain_m_resolution :premises (@p583 @p282 @p280 @p274 @p581) :args (@t436 (@list true false false false) (@list @t285 @t283 @t281 @t437))) % 35.15/35.39 (step @p585 :rule cnf_and_pos :args (@t436 3)) % 35.15/35.39 (step @p586 :rule reordering :premises (@p585) :args ((or @t434 @t438))) % 35.15/35.39 (step @p587 :rule chain_m_resolution :premises (@p586 @p584) :args (@t434 @t301 @t439)) % 35.15/35.39 (step @p588 :rule cnf_or_pos :args (@t447)) % 35.15/35.39 (step @p589 :rule reordering :premises (@p588) :args ((or @t285 @t446 @t445 @t444 @t443 @t442 (not @t447)))) % 35.15/35.39 (step @p590 :rule chain_m_resolution :premises (@p589 @p282 @p587 @p564 @p557 @p553 @p505) :args (@t442 @t360 (@list @t285 @t434 @t426 @t422 @t420 @t447))) % 35.15/35.39 (step @p591 :rule aci_norm :args ((= @t462 @t460))) % 35.15/35.39 (step @p592 :rule cong :premises (@p591) :args (@t464)) % 35.15/35.39 (step @p593 :rule quant-merge-prenex :args ((= (forall @t19 @t466) @t464))) % 35.15/35.39 (step @p594 :rule alpha_equiv :args (@t467 (@list @t450 @t449 @t448) (@list @t1 @t469 @t468))) % 35.15/35.39 (step @p595 :rule nary_cong :premises (@p162 @p161 @p93 @p594) :args (@t470)) % 35.15/35.39 (step @p596 :rule quant-miniscope-or :args ((= @t466 @t470))) % 35.15/35.39 (step @p597 :rule trans :premises (@p596 @p595)) % 35.15/35.39 (step @p598 :rule symm :premises (@p597)) % 35.15/35.39 (step @p599 :rule cong :premises (@p598) :args ((forall @t19 @t479))) % 35.15/35.39 (step @p600 :rule trans :premises (@p599 @p593)) % 35.15/35.39 (step @p601 :rule trans :premises (@p600 @p592)) % 35.15/35.39 (step @p602 :rule aci_norm :args ((= (or @t250 @t478) @t479))) % 35.15/35.39 (step @p603 :rule refl :args (@t478)) % 35.15/35.39 (step @p604 :rule nary_cong :premises (@p180 @p603) :args ((or @t252 @t478))) % 35.15/35.39 (step @p605 :rule trans :premises (@p604 @p602)) % 35.15/35.39 (step @p606 :rule bool-impl-elim :args (@t17 @t478)) % 35.15/35.39 (step @p607 :rule trans :premises (@p606 @p605)) % 35.15/35.39 (step @p608 :rule cong :premises (@p607) :args ((forall @t19 (=> @t17 @t478)))) % 35.15/35.39 (step @p609 :rule trans :premises (@p608 @p601)) % 35.15/35.39 (step @p610 :rule aci_norm :args ((= @t481 @t476))) % 35.15/35.39 (step @p611 :rule cong :premises (@p610) :args (@t482)) % 35.15/35.39 (step @p612 :rule quant-merge-prenex :args ((= (forall @t11 @t484) @t482))) % 35.15/35.39 (step @p613 :rule alpha_equiv :args (@t485 (@list @t469 @t468) (@list @t43 @t486))) % 35.15/35.39 (step @p614 :rule refl :args (@t8)) % 35.15/35.39 (step @p615 :rule nary_cong :premises (@p614 @p197 @p613) :args (@t487)) % 35.15/35.39 (step @p616 :rule quant-miniscope-or :args ((= @t484 @t487))) % 35.15/35.39 (step @p617 :rule trans :premises (@p616 @p615)) % 35.15/35.39 (step @p618 :rule symm :premises (@p617)) % 35.15/35.39 (step @p619 :rule cong :premises (@p618) :args ((forall @t11 @t495))) % 35.15/35.39 (step @p620 :rule trans :premises (@p619 @p612)) % 35.15/35.39 (step @p621 :rule trans :premises (@p620 @p611)) % 35.15/35.39 (step @p622 :rule aci_norm :args ((= (or @t274 @t494) @t495))) % 35.15/35.39 (step @p623 :rule refl :args (@t494)) % 35.15/35.39 (step @p624 :rule nary_cong :premises (@p247 @p623) :args ((or @t258 @t494))) % 35.15/35.39 (step @p625 :rule trans 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(@p638) :args ((forall @t68 @t507))) % 35.15/35.39 (step @p640 :rule trans :premises (@p639 @p632)) % 35.15/35.39 (step @p641 :rule trans :premises (@p640 @p631)) % 35.15/35.39 (step @p642 :rule aci_norm :args ((= (or @t207 @t508) @t507))) % 35.15/35.39 (step @p643 :rule bool-impl-elim :args (@t52 @t508)) % 35.15/35.39 (step @p644 :rule trans :premises (@p643 @p642)) % 35.15/35.39 (step @p645 :rule cong :premises (@p644) :args ((forall @t68 (=> @t52 @t508)))) % 35.15/35.39 (step @p646 :rule trans :premises (@p645 @p641)) % 35.15/35.39 (step @p647 :rule quant-miniscope-or :args ((= (forall @t65 @t509) @t508))) % 35.15/35.39 (step @p648 :rule aci_norm :args ((= @t510 @t509))) % 35.15/35.39 (step @p649 :rule cong :premises (@p648) :args ((forall @t65 @t510))) % 35.15/35.39 (step @p650 :rule trans :premises (@p649 @p647)) % 35.15/35.39 (step @p651 :rule aci_norm :args ((= (or @t220 @t511) @t510))) % 35.15/35.39 (step @p652 :rule bool-impl-elim :args (@t64 @t511)) % 35.15/35.39 (step @p653 :rule trans :premises (@p652 @p651)) % 35.15/35.39 (step @p654 :rule cong :premises (@p653) :args ((forall @t65 (=> @t64 @t511)))) % 35.15/35.39 (step @p655 :rule trans :premises (@p654 @p650)) % 35.15/35.39 (step @p656 :rule aci_norm :args ((= (or @t504 @t512) @t511))) % 35.15/35.39 (step @p657 :rule aci_norm :args ((= (or @t491 false @t503) @t512))) % 35.15/35.39 (step @p658 :rule refl :args (@t503)) % 35.15/35.39 (step @p659 :rule evaluate :args ((not true))) % 35.15/35.39 (step @p660 :rule eq-refl :args (@t43)) % 35.15/35.39 (step @p661 :rule cong :premises (@p660) :args (@t513)) % 35.15/35.39 (step @p662 :rule trans :premises (@p661 @p659)) % 35.15/35.39 (step @p663 :rule refl :args (@t491)) % 35.15/35.39 (step @p664 :rule nary_cong :premises (@p663 @p662 @p658) :args (@t514)) % 35.15/35.39 (step @p665 :rule trans :premises (@p664 @p657)) % 35.15/35.39 (step @p666 :rule quant-var-elim-eq :args ((= (forall @t160 (or @t518 @t517 @t516 @t515)) @t514))) % 35.15/35.39 (step @p667 :rule 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@p659)) % 35.15/35.39 (step @p697 :rule nary_cong :premises (@p678 @p696 @p693) :args (@t528)) % 35.15/35.39 (step @p698 :rule trans :premises (@p697 @p692)) % 35.15/35.39 (step @p699 :rule quant-var-elim-eq :args ((= (forall @t156 (or @t531 @t530 @t529 @t149)) @t528))) % 35.15/35.39 (step @p700 :rule refl :args (@t149)) % 35.15/35.39 (step @p701 :rule refl :args (@t529)) % 35.15/35.39 (step @p702 :rule refl :args (@t530)) % 35.15/35.39 (step @p703 :rule eq-symm :args (@t59 @t95)) % 35.15/35.39 (step @p704 :rule cong :premises (@p703) :args (@t529)) % 35.15/35.39 (step @p705 :rule nary_cong :premises (@p704 @p702 @p701 @p700) :args (@t532)) % 35.15/35.39 (step @p706 :rule aci_norm :args ((= @t533 @t532))) % 35.15/35.39 (step @p707 :rule trans :premises (@p706 @p705)) % 35.15/35.39 (step @p708 :rule cong :premises (@p707) :args (@t534)) % 35.15/35.39 (step @p709 :rule trans :premises (@p708 @p699)) % 35.15/35.39 (step @p710 :rule trans :premises (@p709 @p698)) % 35.15/35.39 (step @p711 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35.15/35.39 (step @p725 :rule trans :premises (@p724 @p723)) % 35.15/35.39 (step @p726 :rule nary_cong :premises (@p702 @p725) :args ((or @t530 @t153))) % 35.15/35.39 (step @p727 :rule trans :premises (@p726 @p719)) % 35.15/35.39 (step @p728 :rule bool-impl-elim :args (@t155 @t153)) % 35.15/35.39 (step @p729 :rule trans :premises (@p728 @p727)) % 35.15/35.39 (step @p730 :rule cong :premises (@p729) :args (@t157)) % 35.15/35.39 (step @p731 :rule trans :premises (@p730 @p718)) % 35.15/35.39 (step @p732 :rule refl :args (@t158)) % 35.15/35.39 (step @p733 :rule cong :premises (@p732 @p731) :args (@t159)) % 35.15/35.39 (step @p734 :rule cong :premises (@p733) :args (@t161)) % 35.15/35.39 (step @p735 :rule trans :premises (@p734 @p690)) % 35.15/35.39 (step @p736 :rule refl :args (@t64)) % 35.15/35.39 (step @p737 :rule cong :premises (@p736 @p735) :args (@t162)) % 35.15/35.39 (step @p738 :rule cong :premises (@p737) :args (@t163)) % 35.15/35.39 (step @p739 :rule trans :premises (@p738 @p655)) % 35.15/35.39 (step @p740 :rule cong :premises (@p141 @p739) :args (@t164)) % 35.15/35.39 (step @p741 :rule cong :premises (@p740) :args (@t165)) % 35.15/35.39 (step @p742 :rule trans :premises (@p741 @p646)) % 35.15/35.39 (step @p743 :rule refl :args (@t10)) % 35.15/35.39 (step @p744 :rule cong :premises (@p743 @p742) :args (@t166)) % 35.15/35.39 (step @p745 :rule cong :premises (@p744) :args (@t167)) % 35.15/35.39 (step @p746 :rule trans :premises (@p745 @p629)) % 35.15/35.39 (step @p747 :rule cong :premises (@p189 @p746) :args (@t168)) % 35.15/35.39 (step @p748 :rule cong :premises (@p747) :args (@t169)) % 35.15/35.39 (step @p749 :rule trans :premises (@p748 @p609)) % 35.15/35.39 (step @p750 :rule eq_resolve :premises (@p87 @p749)) % 35.15/35.39 (step @p751 :rule eq-symm :args (@t541 @t542)) % 35.15/35.39 (step @p752 :rule eq-symm :args (@t543 @t367)) % 35.15/35.39 (step @p753 :rule nary_cong :premises (@p752 @p751) :args (@t544)) % 35.15/35.39 (step @p754 :rule refl :args (@t444)) % 35.15/35.39 (step @p755 :rule refl :args (@t546)) % 35.15/35.39 (step @p756 :rule refl :args (@t277)) % 35.15/35.39 (step @p757 :rule refl :args (@t278)) % 35.15/35.39 (step @p758 :rule refl :args (@t282)) % 35.15/35.39 (step @p759 :rule refl :args (@t284)) % 35.15/35.39 (step @p760 :rule refl :args (@t285)) % 35.15/35.39 (step @p761 :rule nary_cong :premises (@p760 @p759 @p758 @p757 @p756 @p755 @p411 @p754 @p344 @p753) :args (@t547)) % 35.15/35.39 (step @p762 :rule refl :args (@t548)) % 35.15/35.39 (step @p763 :rule cong :premises (@p762 @p761) :args ((=> @t548 @t547))) % 35.15/35.39 (assume-push @p1202 @t548) % 35.15/35.39 (step @p765 :rule instantiate :premises (@p750) :args ((@list @t233 @t232 @t319 @t318))) % 35.15/35.39 (step-pop @p1203 :rule scope :premises (@p765)) % 35.15/35.39 (step @p766 :rule process_scope :premises (@p1203) :args (@t547)) % 35.15/35.39 (step @p768 :rule eq_resolve :premises (@p766 @p763)) % 35.15/35.39 (step @p769 :rule implies_elim :premises (@p768)) % 35.15/35.39 (step @p770 :rule chain_m_resolution :premises (@p769 @p750) :args (@t551 @t301 @t552)) % 35.15/35.39 (step @p771 :rule instantiate :premises (@p549) :args ((@list @t233 @t234 @t319))) % 35.15/35.39 (step @p772 :rule cnf_or_pos :args (@t553)) % 35.15/35.39 (step @p773 :rule reordering :premises (@p772) :args ((or @t285 @t284 @t282 @t298 @t332 @t545 (not @t553)))) % 35.15/35.39 (step @p774 :rule chain_m_resolution :premises (@p773 @p282 @p280 @p274 @p285 @p432 @p771) :args (@t545 @t360 (@list @t285 @t283 @t281 @t290 @t331 @t553))) % 35.15/35.39 (step @p775 :rule cnf_or_pos :args (@t551)) % 35.15/35.39 (step @p776 :rule reordering :premises (@p775) :args ((or @t285 @t284 @t282 @t278 @t277 @t332 @t330 @t546 @t444 @t550 (not @t551)))) % 35.15/35.39 (step @p777 :rule chain_m_resolution :premises (@p776 @p282 @p280 @p274 @p268 @p266 @p432 @p380 @p774 @p557 @p770) :args (@t550 @t554 (@list @t285 @t283 @t281 @t278 @t275 @t331 @t329 @t545 @t422 @t551))) % 35.15/35.39 (step @p778 :rule cnf_and_pos :args (@t550 0)) % 35.15/35.39 (step @p779 :rule reordering :premises (@p778) :args ((or @t549 (not @t550)))) % 35.15/35.39 (step @p780 :rule chain_m_resolution :premises (@p779 @p777) :args (@t549 @t301 (@list @t550))) % 35.15/35.39 (step @p781 :rule eq-symm :args (@t441 @t344)) % 35.15/35.39 (step @p782 :rule refl :args (@t555)) % 35.15/35.39 (step @p783 :rule nary_cong :premises (@p782 @p781) :args (@t556)) % 35.15/35.39 (step @p784 :rule refl :args (@t443)) % 35.15/35.39 (step @p785 :rule nary_cong :premises (@p760 @p759 @p758 @p757 @p756 @p754 @p344 @p784 @p343 @p783) :args (@t557)) % 35.15/35.39 (step @p786 :rule cong :premises (@p762 @p785) :args ((=> @t548 @t557))) % 35.15/35.39 (assume-push @p1204 @t548) % 35.15/35.39 (step @p788 :rule instantiate :premises (@p750) :args ((@list @t233 @t232 @t318 @t317))) % 35.15/35.39 (step-pop @p1205 :rule scope :premises (@p788)) % 35.15/35.39 (step @p789 :rule process_scope :premises (@p1205) :args (@t557)) % 35.15/35.39 (step @p791 :rule eq_resolve :premises (@p789 @p786)) % 35.15/35.39 (step @p792 :rule implies_elim :premises (@p791)) % 35.15/35.39 (step @p793 :rule chain_m_resolution :premises (@p792 @p750) :args (@t560 @t301 @t552)) % 35.15/35.39 (step @p794 :rule cnf_or_pos :args (@t560)) % 35.15/35.39 (step @p795 :rule reordering :premises (@p794) :args ((or @t285 @t284 @t282 @t278 @t277 @t330 @t328 @t444 @t443 @t559 (not @t560)))) % 35.15/35.39 (step @p796 :rule chain_m_resolution :premises (@p795 @p282 @p280 @p274 @p268 @p266 @p380 @p374 @p557 @p553 @p793) :args (@t559 @t554 (@list @t285 @t283 @t281 @t278 @t275 @t329 @t327 @t422 @t420 @t560))) % 35.15/35.39 (step @p797 :rule cnf_and_pos :args (@t559 1)) % 35.15/35.39 (step @p798 :rule reordering :premises (@p797) :args ((or @t558 (not @t559)))) % 35.15/35.39 (step @p799 :rule chain_m_resolution :premises (@p798 @p796) :args (@t558 @t301 (@list @t559))) % 35.15/35.39 (step @p800 :rule refl :args (@t561)) % 35.15/35.39 (step @p801 :rule eq-symm 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(step @p814 :rule cnf_or_pos :args (@t570)) % 35.15/35.39 (step @p815 :rule reordering :premises (@p814) :args ((or @t285 @t284 @t282 @t298 @t378 @t564 (not @t570)))) % 35.15/35.39 (step @p816 :rule chain_m_resolution :premises (@p815 @p282 @p280 @p274 @p285 @p468 @p813) :args (@t564 @t360 (@list @t285 @t283 @t281 @t290 @t377 @t570))) % 35.15/35.39 (step @p817 :rule cnf_or_pos :args (@t569)) % 35.15/35.39 (step @p818 :rule reordering :premises (@p817) :args ((or @t285 @t284 @t282 @t278 @t277 @t332 @t378 @t546 @t565 @t568 (not @t569)))) % 35.15/35.39 (step @p819 :rule chain_m_resolution :premises (@p818 @p282 @p280 @p274 @p268 @p266 @p432 @p468 @p774 @p816 @p812) :args (@t568 @t554 (@list @t285 @t283 @t281 @t278 @t275 @t331 @t377 @t545 @t564 @t569))) % 35.15/35.39 (step @p820 :rule cnf_and_pos :args (@t568 0)) % 35.15/35.39 (step @p821 :rule reordering :premises (@p820) :args ((or @t567 (not @t568)))) % 35.15/35.39 (step @p822 :rule chain_m_resolution :premises (@p821 @p819) :args 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(@p843) :args ((or @t577 (not @t578)))) % 35.15/35.39 (step @p845 :rule chain_m_resolution :premises (@p844 @p842) :args (@t577 @t301 (@list @t578))) % 35.15/35.39 (step @p846 :rule instantiate :premises (@p409) :args ((@list @t233 @t319 @t318))) % 35.15/35.39 (step @p847 :rule cnf_and_pos :args (@t427 1)) % 35.15/35.39 (step @p848 :rule reordering :premises (@p847) :args ((or @t425 @t429))) % 35.15/35.39 (step @p849 :rule chain_m_resolution :premises (@p848 @p561) :args (@t425 @t301 @t430)) % 35.15/35.39 (step @p850 :rule cnf_and_pos :args (@t436 1)) % 35.15/35.39 (step @p851 :rule reordering :premises (@p850) :args ((or @t435 @t438))) % 35.15/35.39 (step @p852 :rule chain_m_resolution :premises (@p851 @p584) :args (@t435 @t301 @t439)) % 35.15/35.39 (step @p853 :rule cnf_or_pos :args (@t585)) % 35.15/35.39 (step @p854 :rule reordering :premises (@p853) :args ((or @t285 @t584 @t583 @t546 @t444 @t582 (not @t585)))) % 35.15/35.39 (step @p855 :rule chain_m_resolution :premises (@p854 @p282 @p852 @p849 @p774 @p557 @p846) :args (@t582 @t360 (@list @t285 @t435 @t425 @t545 @t422 @t585))) % 35.15/35.39 (step @p856 :rule instantiate :premises (@p409) :args ((@list @t233 @t319 @t322))) % 35.15/35.39 (step @p857 :rule cnf_or_pos :args (@t587)) % 35.15/35.39 (step @p858 :rule reordering :premises (@p857) :args ((or @t285 @t584 @t583 @t546 @t565 @t586 (not @t587)))) % 35.15/35.39 (step @p859 :rule chain_m_resolution :premises (@p858 @p282 @p852 @p849 @p774 @p816 @p856) :args (@t586 @t360 (@list @t285 @t435 @t425 @t545 @t564 @t587))) % 35.15/35.39 (step @p860 :rule instantiate :premises (@p341) :args ((@list @t233 @t320 @t317))) % 35.15/35.39 (step @p861 :rule cnf_or_pos :args (@t589)) % 35.15/35.39 (step @p862 :rule reordering :premises (@p861) :args ((or @t285 @t446 @t445 @t443 @t575 @t588 (not @t589)))) % 35.15/35.39 (step @p863 :rule chain_m_resolution :premises (@p862 @p282 @p587 @p564 @p553 @p839 @p860) :args (@t588 @t360 (@list @t285 @t434 @t426 @t420 @t574 @t589))) % 35.15/35.39 (step @p864 :rule instantiate :premises (@p155) :args (@t424)) % 35.15/35.39 (step @p865 :rule cnf_or_pos :args (@t592)) % 35.15/35.39 (step @p866 :rule reordering :premises (@p865) :args ((or @t285 @t282 @t591 (not @t592)))) % 35.15/35.39 (step @p867 :rule chain_m_resolution :premises (@p866 @p282 @p274 @p864) :args (@t591 @t315 (@list @t285 @t281 @t592))) % 35.15/35.39 (step @p868 :rule bool-double-not-elim :args (@t279)) % 35.15/35.39 (step @p869 :rule nary_cong :premises (@p261 @p868) :args ((or @t286 (not @t280)))) % 35.15/35.39 (step @p870 :rule cnf_or_neg :args (@t286 3)) % 35.15/35.39 (step @p871 :rule eq_resolve :premises (@p870 @p869)) % 35.15/35.39 (step @p872 :rule reordering :premises (@p871) :args ((or @t279 @t286))) % 35.15/35.39 (step @p873 :rule chain_m_resolution :premises (@p872 @p259) :args (@t279 @t287 @t288)) % 35.15/35.39 (step @p874 :rule cnf_equiv_pos1 :args (@t591)) % 35.15/35.39 (step @p875 :rule reordering :premises (@p874) :args ((or @t280 @t590 (not @t591)))) % 35.15/35.39 (step @p876 :rule chain_m_resolution :premises (@p875 @p873 @p867) :args (@t590 @t357 (@list @t279 @t591))) % 35.15/35.39 (step @p877 :rule instantiate :premises (@p876) :args ((@list @t319 @t318 @t317))) % 35.15/35.39 (step @p878 :rule aci_norm :args ((= (or (or @t15 @t337 @t594 @t593 @t194 @t190 @t207) @t135) @t595))) % 35.15/35.39 (step @p879 :rule refl :args (@t135)) % 35.15/35.39 (step @p880 :rule refl :args (@t593)) % 35.15/35.39 (step @p881 :rule refl :args (@t594)) % 35.15/35.39 (step @p882 :rule nary_cong :premises (@p94 @p321 @p881 @p880 @p93 @p107 @p122) :args (@t596)) % 35.15/35.39 (step @p883 :rule aci_norm :args ((= (or @t195 (or @t337 (or @t594 (or @t593 (or @t194 @t340))))) @t596))) % 35.15/35.39 (step @p884 :rule trans :premises (@p883 @p882)) % 35.15/35.39 (step @p885 :rule nary_cong :premises (@p93 @p325) :args ((or @t194 @t342))) % 35.15/35.39 (step @p886 :rule bool-and-de-morgan :args (@t13 @t53 (and @t52))) % 35.15/35.39 (step @p887 :rule trans :premises (@p886 @p885)) % 35.15/35.39 (step @p888 :rule nary_cong :premises (@p880 @p887) :args ((or @t593 (not (and @t13 @t53 @t52))))) % 35.15/35.39 (step @p889 :rule bool-and-de-morgan :args (@t30 @t13 (and @t53 @t52))) % 35.15/35.39 (step @p890 :rule trans :premises (@p889 @p888)) % 35.15/35.39 (step @p891 :rule nary_cong :premises (@p881 @p890) :args ((or @t594 (not (and @t30 @t13 @t53 @t52))))) % 35.15/35.39 (step @p892 :rule bool-and-de-morgan :args (@t31 @t30 (and @t13 @t53 @t52))) % 35.15/35.39 (step @p893 :rule trans :premises (@p892 @p891)) % 35.15/35.39 (step @p894 :rule nary_cong :premises (@p321 @p893) :args ((or @t337 (not (and @t31 @t30 @t13 @t53 @t52))))) % 35.15/35.39 (step @p895 :rule bool-and-de-morgan :args (@t33 @t31 (and @t30 @t13 @t53 @t52))) % 35.15/35.39 (step @p896 :rule trans :premises (@p895 @p894)) % 35.15/35.39 (step @p897 :rule nary_cong :premises (@p176 @p896) :args ((or @t195 (not (and @t33 @t31 @t30 @t13 @t53 @t52))))) % 35.15/35.39 (step @p898 :rule bool-and-de-morgan :args (@t16 @t33 (and @t31 @t30 @t13 @t53 @t52))) % 35.15/35.39 (step @p899 :rule trans :premises (@p898 @p897)) % 35.15/35.39 (step @p900 :rule trans :premises (@p899 @p884)) % 35.15/35.39 (step @p901 :rule nary_cong :premises (@p900 @p879) :args ((or (not @t136) @t135))) % 35.15/35.39 (step @p902 :rule trans :premises (@p901 @p878)) % 35.15/35.39 (step @p903 :rule bool-impl-elim :args (@t136 @t135)) % 35.15/35.39 (step @p904 :rule trans :premises (@p903 @p902)) % 35.15/35.39 (step @p905 :rule cong :premises (@p904) :args (@t137)) % 35.15/35.39 (step @p906 :rule eq_resolve :premises (@p77 @p905)) % 35.15/35.39 (step @p907 :rule instantiate :premises (@p906) :args ((@list @t233 @t319 @t317))) % 35.15/35.39 (step @p908 :rule cnf_and_pos :args (@t436 6)) % 35.15/35.39 (step @p909 :rule reordering :premises (@p908) :args ((or @t432 @t438))) % 35.15/35.39 (step @p910 :rule chain_m_resolution :premises (@p909 @p584) :args (@t432 @t301 @t439)) % 35.15/35.39 (step @p911 :rule cnf_and_pos :args (@t436 5)) % 35.15/35.39 (step @p912 :rule reordering :premises (@p911) :args ((or @t433 @t438))) % 35.15/35.39 (step @p913 :rule chain_m_resolution :premises (@p912 @p584) :args (@t433 @t301 @t439)) % 35.15/35.39 (step @p914 :rule cnf_or_pos :args (@t602)) % 35.15/35.39 (step @p915 :rule reordering :premises (@p914) :args ((or @t285 @t282 @t446 @t601 @t600 @t546 @t443 @t599 (not @t602)))) % 35.15/35.39 (step @p916 :rule chain_m_resolution :premises (@p915 @p282 @p274 @p587 @p913 @p910 @p774 @p553 @p907) :args (@t599 @t603 (@list @t285 @t281 @t434 @t433 @t432 @t545 @t420 @t602))) % 35.15/35.39 (step @p917 :rule aci_norm :args ((= @t618 @t616))) % 35.15/35.39 (step @p918 :rule cong :premises (@p917) :args (@t620)) % 35.15/35.39 (step @p919 :rule quant-merge-prenex :args ((= (forall @t19 @t622) @t620))) % 35.15/35.39 (step @p920 :rule alpha_equiv :args (@t623 (@list @t606 @t605 @t604) (@list @t1 @t625 @t624))) % 35.15/35.39 (step @p921 :rule nary_cong :premises (@p162 @p161 @p93 @p920) :args (@t626)) % 35.15/35.39 (step @p922 :rule quant-miniscope-or :args ((= @t622 @t626))) % 35.15/35.39 (step @p923 :rule trans :premises (@p922 @p921)) % 35.15/35.39 (step @p924 :rule symm :premises (@p923)) % 35.15/35.39 (step @p925 :rule cong :premises (@p924) :args ((forall @t19 @t635))) % 35.15/35.39 (step @p926 :rule trans :premises (@p925 @p919)) % 35.15/35.39 (step @p927 :rule trans :premises (@p926 @p918)) % 35.15/35.39 (step @p928 :rule aci_norm :args ((= (or @t250 @t634) @t635))) % 35.15/35.39 (step @p929 :rule refl :args (@t634)) % 35.15/35.39 (step @p930 :rule nary_cong :premises (@p180 @p929) :args ((or @t252 @t634))) % 35.15/35.39 (step @p931 :rule trans :premises (@p930 @p928)) % 35.15/35.39 (step @p932 :rule bool-impl-elim :args (@t17 @t634)) % 35.15/35.39 (step @p933 :rule trans :premises (@p932 @p931)) % 35.15/35.39 (step @p934 :rule cong :premises (@p933) :args ((forall @t19 (=> @t17 @t634)))) % 35.15/35.39 (step @p935 :rule trans :premises (@p934 @p927)) % 35.15/35.39 (step @p936 :rule aci_norm :args ((= @t637 @t632))) % 35.15/35.39 (step @p937 :rule cong :premises (@p936) :args (@t638)) % 35.15/35.39 (step @p938 :rule quant-merge-prenex :args ((= (forall @t11 @t640) @t638))) % 35.15/35.39 (step @p939 :rule alpha_equiv :args (@t641 (@list @t625 @t624) (@list @t43 @t642))) % 35.15/35.39 (step @p940 :rule nary_cong :premises (@p614 @p197 @p939) :args (@t643)) % 35.15/35.39 (step @p941 :rule quant-miniscope-or :args ((= @t640 @t643))) % 35.15/35.39 (step @p942 :rule trans :premises (@p941 @p940)) % 35.15/35.39 (step @p943 :rule symm :premises (@p942)) % 35.15/35.39 (step @p944 :rule cong :premises (@p943) :args ((forall @t11 @t650))) % 35.15/35.39 (step @p945 :rule trans :premises (@p944 @p938)) % 35.15/35.39 (step @p946 :rule trans :premises (@p945 @p937)) % 35.15/35.39 (step @p947 :rule aci_norm :args ((= (or @t274 @t649) @t650))) % 35.15/35.39 (step @p948 :rule refl :args (@t649)) % 35.15/35.39 (step @p949 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35.15/35.39 (step @p1115 :rule refl :args (@t708)) % 35.15/35.39 (step @p1116 :rule refl :args (@t709)) % 35.15/35.39 (step @p1117 :rule refl :args (@t710)) % 35.15/35.39 (step @p1118 :rule refl :args (@t711)) % 35.15/35.39 (step @p1119 :rule refl :args (@t712)) % 35.15/35.39 (step @p1120 :rule refl :args (@t713)) % 35.15/35.39 (step @p1121 :rule bool-double-not-elim :args (@t324)) % 35.15/35.39 (step @p1122 :rule nary_cong :premises (@p1121 @p1120 @p1119 @p1118 @p1117 @p1116 @p1115 @p1114 @p1113 @p1112 @p1111 @p1110 @p1109 @p1108) :args ((or (not @t334) @t713 @t712 @t711 @t710 @t709 @t708 @t707 @t706 @t705 @t704 @t703 @t702 @t701))) % 35.15/35.39 (assume-push @p1214 @t698) % 35.15/35.39 (assume-push @p1215 @t701) % 35.15/35.39 (step @p1125 :rule evaluate :args ((= false true))) % 35.15/35.39 (step @p1126 :rule true_intro :premises (@p1107)) % 35.15/35.39 (step @p1127 :rule false_intro :premises (@p317)) % 35.15/35.39 (step @p1128 :rule symm :premises (@p504)) % 35.15/35.39 (step @p1129 :rule symm :premises (@p845)) % 35.15/35.39 (step @p1130 :rule symm :premises (@p863)) % 35.15/35.39 (step @p1131 :rule refl :args (@t317)) % 35.15/35.39 (step @p1132 :rule symm :premises (@p438)) % 35.15/35.39 (step @p1133 :rule symm :premises (@p780)) % 35.15/35.39 (step @p1134 :rule symm :premises (@p855)) % 35.15/35.39 (step @p1135 :rule trans :premises (@p1134 @p1133 @p1132)) % 35.15/35.39 (step @p1136 :rule refl :args (@t233)) % 35.15/35.39 (step @p1137 :rule cong :premises (@p1136 @p1135 @p1131) :args (@t696)) % 35.15/35.39 (step @p1138 :rule trans :premises (@p1137 @p1130 @p1129 @p1128)) % 35.15/35.39 (step @p1139 :rule symm :premises (@p471)) % 35.15/35.39 (step @p1140 :rule symm :premises (@p822)) % 35.15/35.39 (step @p1141 :rule symm :premises (@p859)) % 35.15/35.39 (step @p1142 :rule symm :premises (@p386)) % 35.15/35.39 (step @p1143 :rule symm :premises (@p799)) % 35.15/35.39 (step @p1144 :rule symm :premises (@p590)) % 35.15/35.39 (step @p1145 :rule trans :premises 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:premises (@p1136 @p1135 @p1131) :args (@t696)) % 35.15/35.39 (step @p1138 :rule trans :premises (@p1137 @p1130 @p1129 @p1128)) % 35.15/35.39 (step @p1139 :rule symm :premises (@p471)) % 35.15/35.39 (step @p1140 :rule symm :premises (@p822)) % 35.15/35.39 (step @p1141 :rule symm :premises (@p859)) % 35.15/35.39 (step @p1142 :rule symm :premises (@p386)) % 35.15/35.39 (step @p1143 :rule symm :premises (@p799)) % 35.15/35.39 (step @p1144 :rule symm :premises (@p590)) % 35.15/35.39 (step @p1145 :rule trans :premises (@p1144 @p1143 @p1142)) % 35.15/35.39 (step @p1146 :rule refl :args (@t319)) % 35.15/35.39 (step @p1147 :rule cong :premises (@p1136 @p1146 @p1145) :args (@t697)) % 35.15/35.39 (step @p1148 :rule trans :premises (@p1147 @p1141 @p1140 @p1139)) % 35.15/35.39 (step @p1149 :rule cong :premises (@p1148 @p1138) :args (@t698)) % 35.15/35.39 (step @p1171 :rule trans :premises (@p1149 @p1127)) % 35.15/35.39 (step @p1172 :rule false_elim :premises (@p1171)) % 35.15/35.39 (step @p1173 :rule and_intro :premises (@p1107 @p1172)) % 35.15/35.39 (step-pop @p1232 :rule scope :premises (@p1173)) % 35.15/35.39 (step-pop @p1233 :rule scope :premises (@p1232)) % 35.15/35.39 (step-pop @p1234 :rule scope :premises (@p1233)) % 35.15/35.39 (step-pop @p1235 :rule scope :premises (@p1234)) % 35.15/35.39 (step-pop @p1236 :rule scope :premises (@p1235)) % 35.15/35.39 (step-pop @p1237 :rule scope :premises (@p1236)) % 35.15/35.39 (step-pop @p1238 :rule scope :premises (@p1237)) % 35.15/35.39 (step-pop @p1239 :rule scope :premises (@p1238)) % 35.15/35.39 (step-pop @p1240 :rule scope :premises (@p1239)) % 35.15/35.39 (step-pop @p1241 :rule scope :premises (@p1240)) % 35.15/35.39 (step-pop @p1242 :rule scope :premises (@p1241)) % 35.15/35.39 (step-pop @p1243 :rule scope :premises (@p1242)) % 35.15/35.39 (step-pop @p1244 :rule scope :premises (@p1243)) % 35.15/35.39 (step-pop @p1245 :rule scope :premises (@p1244)) % 35.15/35.39 (step @p1174 :rule process_scope :premises (@p1245) :args (@t714)) % 35.15/35.39 (step @p1189 :rule implies_elim :premises (@p1174)) % 35.15/35.39 (step @p1190 :rule resolution :premises (@p1189 @p1154) :args (true @t714)) % 35.15/35.39 (step @p1191 :rule not_and :premises (@p1190)) % 35.15/35.39 (step @p1192 :rule eq_resolve :premises (@p1191 @p1122)) % 35.15/35.39 (step @p1193 false :rule chain_m_resolution :premises (@p1192 @p1107 @p863 @p859 @p855 @p845 @p822 @p799 @p780 @p590 @p504 @p471 @p438 @p386 @p317) :args (false (@list false false false false false false false false false false false false false true) (@list @t698 @t588 @t586 @t582 @t577 @t567 @t558 @t549 @t442 @t388 @t380 @t373 @t351 @t324))) % 35.15/35.39 ) % 35.15/35.39 % SZS output end Proof % 35.15/35.39 % cvc5 exiting %------------------------------------------------------------------------------