%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT346+1 : TPTP v9.2.1. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n001.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 08:30:25 AM UTC 2026 % Result : Theorem 0.37s 0.94s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT346+1 : TPTP v9.2.1. Released v3.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n001.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 06:41:50 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.94 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.94 % SZS status Theorem % 0.37/0.94 % SZS output start Proof % 0.37/0.94 ( % 0.37/0.94 (declare-sort $$unsorted 0) % 0.37/0.94 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.37/0.94 (declare-const tptp.v1_binop_1 (-> $$unsorted $$unsorted Bool)) % 0.37/0.94 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.37/0.94 (declare-const tptp.v4_lattice3 (-> $$unsorted Bool)) % 0.37/0.94 (declare-const tptp.l2_lattices (-> $$unsorted Bool)) % 0.37/0.94 (declare-const tptp.l1_conlat_1 (-> $$unsorted Bool)) % 0.37/0.94 (declare-const tptp.l1_lattices (-> $$unsorted Bool)) % 0.37/0.94 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 0.37/0.94 (declare-const tptp.k4_relat_1 (-> $$unsorted $$unsorted)) % 0.37/0.94 (declare-const tptp.k10_conlat_2 (-> $$unsorted $$unsorted)) % 0.37/0.94 (declare-const tptp.k6_relset_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.94 (declare-const tptp.m1_lattice4 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.94 (declare-const tptp.v3_lattice4 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.94 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.37/0.94 (declare-const tptp.v13_lattices (-> $$unsorted Bool)) % 0.37/0.94 (declare-const tptp.v14_lattices (-> $$unsorted Bool)) % 0.37/0.94 (declare-const tptp.v2_binop_1 (-> $$unsorted $$unsorted Bool)) % 0.37/0.94 (declare-const tptp.v15_lattices (-> $$unsorted Bool)) % 0.37/0.94 (declare-const tptp.v10_lattices (-> $$unsorted Bool)) % 0.37/0.94 (declare-const tptp.r1_filter_1 (-> $$unsorted $$unsorted Bool)) % 0.37/0.94 (declare-const tptp.g3_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.94 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.37/0.94 (declare-const tptp.u1_lattices (-> $$unsorted $$unsorted)) % 0.37/0.94 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.94 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.94 (declare-const tptp.v9_lattices (-> $$unsorted Bool)) % 0.37/0.94 (declare-const tptp.u2_lattices (-> $$unsorted $$unsorted)) % 0.37/0.94 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 0.37/0.94 (declare-const tptp.v8_lattices (-> $$unsorted Bool)) % 0.37/0.94 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.37/0.94 (declare-const tptp.u3_conlat_1 (-> $$unsorted $$unsorted)) % 0.37/0.94 (declare-const tptp.k7_conlat_2 (-> $$unsorted $$unsorted)) % 0.37/0.94 (declare-const tptp.v7_lattices (-> $$unsorted Bool)) % 0.37/0.94 (declare-const tptp.v3_lattices (-> $$unsorted Bool)) % 0.37/0.94 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 0.37/0.94 (declare-const tptp.k1_lattice2 (-> $$unsorted $$unsorted)) % 0.37/0.94 (declare-const tptp.l2_conlat_1 (-> $$unsorted Bool)) % 0.37/0.94 (declare-const tptp.u1_conlat_1 (-> $$unsorted $$unsorted)) % 0.37/0.94 (declare-const tptp.v6_lattices (-> $$unsorted Bool)) % 0.37/0.94 (declare-const tptp.l3_lattices (-> $$unsorted Bool)) % 0.37/0.94 (declare-const tptp.v5_lattices (-> $$unsorted Bool)) % 0.37/0.94 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.94 (declare-const tptp.v3_conlat_1 (-> $$unsorted Bool)) % 0.37/0.94 (declare-const tptp.v4_conlat_1 (-> $$unsorted Bool)) % 0.37/0.94 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.94 (declare-const tptp.u2_conlat_1 (-> $$unsorted $$unsorted)) % 0.37/0.94 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.37/0.94 (declare-const tptp.k11_conlat_1 (-> $$unsorted $$unsorted)) % 0.37/0.94 (declare-const tptp.g2_conlat_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.94 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 0.37/0.94 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.94 (declare-const tptp.v4_lattices (-> $$unsorted Bool)) % 0.37/0.94 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 0.37/0.94 (define @t1 () (@var "A" $$unsorted)) % 0.37/0.94 (define @t2 () (tptp.k11_conlat_1 @t1)) % 0.37/0.94 (define @t3 () (tptp.k1_lattice2 @t2)) % 0.37/0.94 (define @t4 () (tptp.k7_conlat_2 @t1)) % 0.37/0.94 (define @t5 () (tptp.k11_conlat_1 @t4)) % 0.37/0.94 (define @t6 () (tptp.r1_filter_1 @t5 @t3)) % 0.37/0.94 (define @t7 () (tptp.l2_conlat_1 @t1)) % 0.37/0.94 (define @t8 () (tptp.v3_conlat_1 @t1)) % 0.37/0.94 (define @t9 () (not @t8)) % 0.37/0.94 (define @t10 () (and @t9 @t7)) % 0.37/0.94 (define @t11 () (@list @t1)) % 0.37/0.94 (define @t12 () (forall @t11 (=> @t10 @t6))) % 0.37/0.94 (define @t13 () (not @t12)) % 0.37/0.94 (define @t14 () (tptp.u1_lattices @t1)) % 0.37/0.94 (define @t15 () (tptp.u2_lattices @t1)) % 0.37/0.94 (define @t16 () (tptp.u1_struct_0 @t1)) % 0.37/0.94 (define @t17 () (tptp.v3_lattices @t1)) % 0.37/0.94 (define @t18 () (tptp.l3_lattices @t1)) % 0.37/0.94 (define @t19 () (tptp.u3_conlat_1 @t1)) % 0.37/0.94 (define @t20 () (tptp.u2_conlat_1 @t1)) % 0.37/0.94 (define @t21 () (tptp.u1_conlat_1 @t1)) % 0.37/0.94 (define @t22 () (tptp.v4_conlat_1 @t1)) % 0.37/0.94 (define @t23 () (@var "B" $$unsorted)) % 0.37/0.94 (define @t24 () (tptp.r2_hidden @t1 @t23)) % 0.37/0.94 (define @t25 () (@list @t1 @t23)) % 0.37/0.94 (define @t26 () (@var "C" $$unsorted)) % 0.37/0.94 (define @t27 () (tptp.v1_funct_2 @t26 @t1 @t23)) % 0.37/0.94 (define @t28 () (tptp.v1_funct_1 @t26)) % 0.37/0.94 (define @t29 () (and @t28 @t27)) % 0.37/0.94 (define @t30 () (tptp.v1_partfun1 @t26 @t1 @t23)) % 0.37/0.94 (define @t31 () (tptp.m1_relset_1 @t26 @t1 @t23)) % 0.37/0.94 (define @t32 () (@list @t1 @t23 @t26)) % 0.37/0.94 (define @t33 () (tptp.v9_lattices @t1)) % 0.37/0.94 (define @t34 () (tptp.v8_lattices @t1)) % 0.37/0.94 (define @t35 () (tptp.v7_lattices @t1)) % 0.37/0.94 (define @t36 () (tptp.v6_lattices @t1)) % 0.37/0.94 (define @t37 () (tptp.v5_lattices @t1)) % 0.37/0.94 (define @t38 () (tptp.v4_lattices @t1)) % 0.37/0.94 (define @t39 () (tptp.v3_struct_0 @t1)) % 0.37/0.94 (define @t40 () (not @t39)) % 0.37/0.94 (define @t41 () (and @t40 @t38 @t37 @t36 @t35 @t34 @t33)) % 0.37/0.94 (define @t42 () (tptp.v10_lattices @t1)) % 0.37/0.94 (define @t43 () (and @t40 @t42)) % 0.37/0.94 (define @t44 () (tptp.v1_relat_1 @t26)) % 0.37/0.94 (define @t45 () (tptp.k2_zfmisc_1 @t1 @t23)) % 0.37/0.94 (define @t46 () (tptp.m1_subset_1 @t26 (tptp.k1_zfmisc_1 @t45))) % 0.37/0.94 (define @t47 () (tptp.v15_lattices @t1)) % 0.37/0.94 (define @t48 () (and @t40 @t47)) % 0.37/0.94 (define @t49 () (tptp.v14_lattices @t1)) % 0.37/0.94 (define @t50 () (tptp.v13_lattices @t1)) % 0.37/0.94 (define @t51 () (and @t40 @t50 @t49)) % 0.37/0.94 (define @t52 () (@list @t26)) % 0.37/0.94 (define @t53 () (tptp.v1_xboole_0 @t23)) % 0.37/0.94 (define @t54 () (not @t53)) % 0.37/0.94 (define @t55 () (tptp.v1_xboole_0 @t26)) % 0.37/0.94 (define @t56 () (tptp.v1_xboole_0 @t1)) % 0.37/0.94 (define @t57 () (not @t56)) % 0.37/0.94 (define @t58 () (and @t57 @t54)) % 0.37/0.94 (define @t59 () (tptp.v3_lattice4 @t26 @t1 @t23)) % 0.37/0.94 (define @t60 () (tptp.m1_lattice4 @t26 @t1 @t23)) % 0.37/0.94 (define @t61 () (and @t60 @t59)) % 0.37/0.94 (define @t62 () (exists @t52 @t61)) % 0.37/0.94 (define @t63 () (tptp.r1_filter_1 @t1 @t23)) % 0.37/0.94 (define @t64 () (= @t63 @t62)) % 0.37/0.94 (define @t65 () (tptp.l3_lattices @t23)) % 0.37/0.94 (define @t66 () (tptp.v10_lattices @t23)) % 0.37/0.94 (define @t67 () (tptp.v3_struct_0 @t23)) % 0.37/0.94 (define @t68 () (not @t67)) % 0.37/0.94 (define @t69 () (and @t68 @t66 @t65)) % 0.37/0.94 (define @t70 () (=> @t69 @t64)) % 0.37/0.94 (define @t71 () (@list @t23)) % 0.37/0.94 (define @t72 () (forall @t71 @t70)) % 0.37/0.94 (define @t73 () (and @t40 @t42 @t18)) % 0.37/0.94 (define @t74 () (=> @t73 @t72)) % 0.37/0.94 (define @t75 () (forall @t11 @t74)) % 0.37/0.94 (define @t76 () (tptp.g2_conlat_1 @t1 @t23 @t26)) % 0.37/0.94 (define @t77 () (tptp.g3_lattices @t1 @t23 @t26)) % 0.37/0.94 (define @t78 () (tptp.v3_lattices @t77)) % 0.37/0.94 (define @t79 () (tptp.k2_zfmisc_1 @t1 @t1)) % 0.37/0.94 (define @t80 () (tptp.m1_relset_1 @t26 @t79 @t1)) % 0.37/0.94 (define @t81 () (tptp.v1_funct_2 @t26 @t79 @t1)) % 0.37/0.94 (define @t82 () (tptp.m1_relset_1 @t23 @t79 @t1)) % 0.37/0.94 (define @t83 () (tptp.v1_funct_2 @t23 @t79 @t1)) % 0.37/0.94 (define @t84 () (tptp.v1_funct_1 @t23)) % 0.37/0.94 (define @t85 () (and @t84 @t83 @t82 @t28 @t81 @t80)) % 0.37/0.94 (define @t86 () (tptp.k10_conlat_2 @t1)) % 0.37/0.94 (define @t87 () (tptp.m1_lattice4 @t86 @t3 @t5)) % 0.37/0.94 (define @t88 () (forall @t11 (=> @t10 @t87))) % 0.37/0.94 (define @t89 () (tptp.v3_lattices @t2)) % 0.37/0.94 (define @t90 () (not (tptp.v3_struct_0 @t2))) % 0.37/0.94 (define @t91 () (and @t90 @t89 (tptp.l3_lattices @t2))) % 0.37/0.94 (define @t92 () (forall @t11 (=> @t10 @t91))) % 0.37/0.94 (define @t93 () (tptp.k1_lattice2 @t1)) % 0.37/0.94 (define @t94 () (tptp.v3_lattices @t93)) % 0.37/0.94 (define @t95 () (and @t94 (tptp.l3_lattices @t93))) % 0.37/0.94 (define @t96 () (forall @t11 (=> @t18 @t95))) % 0.37/0.94 (define @t97 () (tptp.k4_relat_1 @t1)) % 0.37/0.94 (define @t98 () (tptp.v1_relat_1 @t1)) % 0.37/0.94 (define @t99 () (tptp.k6_relset_1 @t1 @t23 @t26)) % 0.37/0.94 (define @t100 () (and (not (tptp.v3_conlat_1 @t4)) (tptp.v4_conlat_1 @t4) (tptp.l2_conlat_1 @t4))) % 0.37/0.94 (define @t101 () (forall @t11 (=> @t10 @t100))) % 0.37/0.94 (define @t102 () (tptp.l1_struct_0 @t1)) % 0.37/0.94 (define @t103 () (tptp.l1_lattices @t1)) % 0.37/0.94 (define @t104 () (tptp.l1_conlat_1 @t1)) % 0.37/0.94 (define @t105 () (tptp.l2_lattices @t1)) % 0.37/0.94 (define @t106 () (tptp.u1_struct_0 @t23)) % 0.37/0.94 (define @t107 () (and @t40 @t42 @t18 @t68 @t66 @t65)) % 0.37/0.94 (define @t108 () (tptp.m2_relset_1 @t26 @t1 @t23)) % 0.37/0.94 (define @t109 () (tptp.k2_zfmisc_1 @t16 @t16)) % 0.37/0.94 (define @t110 () (tptp.v1_funct_2 @t14 @t109 @t16)) % 0.37/0.94 (define @t111 () (tptp.v1_funct_1 @t14)) % 0.37/0.94 (define @t112 () (tptp.v1_funct_2 @t15 @t109 @t16)) % 0.37/0.94 (define @t113 () (tptp.v1_funct_1 @t15)) % 0.37/0.94 (define @t114 () (and @t9 @t104)) % 0.37/0.94 (define @t115 () (tptp.v4_lattice3 @t2)) % 0.37/0.94 (define @t116 () (tptp.v10_lattices @t2)) % 0.37/0.94 (define @t117 () (tptp.v9_lattices @t2)) % 0.37/0.94 (define @t118 () (tptp.v8_lattices @t2)) % 0.37/0.94 (define @t119 () (tptp.v7_lattices @t2)) % 0.37/0.94 (define @t120 () (tptp.v6_lattices @t2)) % 0.37/0.94 (define @t121 () (tptp.v5_lattices @t2)) % 0.37/0.94 (define @t122 () (tptp.v4_lattices @t2)) % 0.37/0.94 (define @t123 () (and @t90 @t89 @t122 @t121 @t120 @t119 @t118 @t117 @t116 (tptp.v13_lattices @t2) (tptp.v14_lattices @t2) (tptp.v15_lattices @t2) @t115)) % 0.37/0.94 (define @t124 () (forall @t11 (=> @t10 @t123))) % 0.37/0.94 (define @t125 () (not (tptp.v3_struct_0 @t93))) % 0.37/0.94 (define @t126 () (and @t125 @t94)) % 0.37/0.94 (define @t127 () (and @t40 @t18)) % 0.37/0.94 (define @t128 () (forall @t11 (=> @t127 @t126))) % 0.37/0.94 (define @t129 () (and @t40 @t102)) % 0.37/0.94 (define @t130 () (tptp.k1_zfmisc_1 @t1)) % 0.37/0.94 (define @t131 () (tptp.v10_lattices @t93)) % 0.37/0.94 (define @t132 () (tptp.v9_lattices @t93)) % 0.37/0.94 (define @t133 () (tptp.v8_lattices @t93)) % 0.37/0.94 (define @t134 () (tptp.v7_lattices @t93)) % 0.37/0.94 (define @t135 () (tptp.v6_lattices @t93)) % 0.37/0.94 (define @t136 () (tptp.v5_lattices @t93)) % 0.37/0.94 (define @t137 () (tptp.v4_lattices @t93)) % 0.37/0.94 (define @t138 () (and @t125 @t94 @t137 @t136 @t135 @t134 @t133 @t132 @t131 (tptp.v4_lattice3 @t93))) % 0.37/0.94 (define @t139 () (tptp.v4_lattice3 @t1)) % 0.37/0.94 (define @t140 () (and @t40 @t42 @t139 @t18)) % 0.37/0.94 (define @t141 () (forall @t11 (=> @t140 @t138))) % 0.37/0.94 (define @t142 () (tptp.v1_partfun1 @t15 @t109 @t16)) % 0.37/0.94 (define @t143 () (tptp.v1_relat_1 @t15)) % 0.37/0.94 (define @t144 () (tptp.v1_partfun1 @t14 @t109 @t16)) % 0.37/0.94 (define @t145 () (tptp.v1_relat_1 @t14)) % 0.37/0.94 (define @t146 () (@var "F" $$unsorted)) % 0.37/0.94 (define @t147 () (@var "E" $$unsorted)) % 0.37/0.94 (define @t148 () (@var "D" $$unsorted)) % 0.37/0.94 (define @t149 () (and (= @t1 @t148) (= @t23 @t147) (= @t26 @t146))) % 0.37/0.94 (define @t150 () (@list @t148 @t147 @t146)) % 0.37/0.94 (define @t151 () (tptp.m1_subset_1 @t23 @t130)) % 0.37/0.94 (define @t152 () (tptp.r1_filter_1 @t23 @t1)) % 0.37/0.94 (define @t153 () (=> @t63 @t152)) % 0.37/0.94 (define @t154 () (forall @t25 (=> @t107 @t153))) % 0.37/0.94 (define @t155 () (tptp.m1_subset_1 @t1 @t23)) % 0.37/0.94 (define @t156 () (tptp.v3_lattice4 @t86 @t3 @t5)) % 0.37/0.94 (define @t157 () (forall @t11 (=> @t10 @t156))) % 0.37/0.94 (define @t158 () (tptp.m1_subset_1 @t23 (tptp.k1_zfmisc_1 @t26))) % 0.37/0.94 (define @t159 () (@var "BOUND_VARIABLE_8069" $$unsorted)) % 0.37/0.94 (define @t160 () (= (tptp.r1_filter_1 @t1 @t159) (not (forall @t52 (or (not (tptp.m1_lattice4 @t26 @t1 @t159)) (not (tptp.v3_lattice4 @t26 @t1 @t159))))))) % 0.37/0.94 (define @t161 () (not (tptp.l3_lattices @t159))) % 0.37/0.94 (define @t162 () (not (tptp.v10_lattices @t159))) % 0.37/0.94 (define @t163 () (tptp.v3_struct_0 @t159)) % 0.37/0.94 (define @t164 () (not @t18)) % 0.37/0.94 (define @t165 () (not @t42)) % 0.37/0.94 (define @t166 () (or @t163 @t162 @t161 @t160)) % 0.37/0.94 (define @t167 () (or @t39 @t165 @t164 @t166)) % 0.37/0.94 (define @t168 () (forall (@list @t1 @t159) @t167)) % 0.37/0.94 (define @t169 () (@list @t159)) % 0.37/0.94 (define @t170 () (forall @t169 @t167)) % 0.37/0.94 (define @t171 () (forall @t169 @t166)) % 0.37/0.94 (define @t172 () (or @t39 @t165 @t164 @t171)) % 0.37/0.94 (define @t173 () (= @t63 (not (forall @t52 (or (not @t60) (not @t59)))))) % 0.37/0.94 (define @t174 () (not @t65)) % 0.37/0.94 (define @t175 () (not @t66)) % 0.37/0.94 (define @t176 () (or @t67 @t175 @t174 @t173)) % 0.37/0.94 (define @t177 () (forall @t71 @t176)) % 0.37/0.94 (define @t178 () (or @t39 @t165 @t164 @t177)) % 0.37/0.94 (define @t179 () (not @t40)) % 0.37/0.94 (define @t180 () (or @t179 @t165 @t164)) % 0.37/0.94 (define @t181 () (not @t68)) % 0.37/0.94 (define @t182 () (or @t181 @t175 @t174)) % 0.37/0.94 (define @t183 () (or @t181 (or @t175 @t174))) % 0.37/0.94 (define @t184 () (not @t69)) % 0.37/0.94 (define @t185 () (forall @t52 (not @t61))) % 0.37/0.94 (define @t186 () (not @t185)) % 0.37/0.94 (define @t187 () (not @t7)) % 0.37/0.94 (define @t188 () (or @t8 @t187 @t6)) % 0.37/0.94 (define @t189 () (@quantifiers_skolemize (forall @t11 @t188) 0)) % 0.37/0.94 (define @t190 () (tptp.k7_conlat_2 @t189)) % 0.37/0.94 (define @t191 () (tptp.k11_conlat_1 @t190)) % 0.37/0.94 (define @t192 () (tptp.k11_conlat_1 @t189)) % 0.37/0.94 (define @t193 () (tptp.k1_lattice2 @t192)) % 0.37/0.94 (define @t194 () (@list @t193 @t191)) % 0.37/0.94 (define @t195 () (@list @t192)) % 0.37/0.94 (define @t196 () (or @t8 @t187)) % 0.37/0.94 (define @t197 () (not @t10)) % 0.37/0.94 (define @t198 () (@list @t189)) % 0.37/0.94 (define @t199 () (tptp.l2_conlat_1 @t189)) % 0.37/0.94 (define @t200 () (tptp.r1_filter_1 @t191 @t193)) % 0.37/0.94 (define @t201 () (not @t199)) % 0.37/0.94 (define @t202 () (tptp.v3_conlat_1 @t189)) % 0.37/0.94 (define @t203 () (or @t202 @t201 @t200)) % 0.37/0.94 (define @t204 () (@list true)) % 0.37/0.94 (define @t205 () (@list @t203)) % 0.37/0.94 (define @t206 () (tptp.l3_lattices @t192)) % 0.37/0.94 (define @t207 () (tptp.v3_lattices @t192)) % 0.37/0.94 (define @t208 () (tptp.v3_struct_0 @t192)) % 0.37/0.94 (define @t209 () (not @t208)) % 0.37/0.94 (define @t210 () (and @t209 @t207 @t206)) % 0.37/0.94 (define @t211 () (or @t202 @t201 @t210)) % 0.37/0.94 (define @t212 () (@list true false false)) % 0.37/0.94 (define @t213 () (not @t210)) % 0.37/0.94 (define @t214 () (@list false)) % 0.37/0.94 (define @t215 () (@list @t210)) % 0.37/0.94 (define @t216 () (tptp.l3_lattices @t193)) % 0.37/0.94 (define @t217 () (tptp.v3_lattices @t193)) % 0.37/0.94 (define @t218 () (and @t217 @t216)) % 0.37/0.94 (define @t219 () (not @t206)) % 0.37/0.94 (define @t220 () (or @t219 @t218)) % 0.37/0.94 (define @t221 () (@list false false)) % 0.37/0.94 (define @t222 () (not @t139)) % 0.37/0.94 (define @t223 () (or @t179 @t165 @t222 @t164)) % 0.37/0.94 (define @t224 () (tptp.v4_lattice3 @t192)) % 0.37/0.94 (define @t225 () (tptp.v10_lattices @t192)) % 0.37/0.94 (define @t226 () (and @t209 @t207 (tptp.v4_lattices @t192) (tptp.v5_lattices @t192) (tptp.v6_lattices @t192) (tptp.v7_lattices @t192) (tptp.v8_lattices @t192) (tptp.v9_lattices @t192) @t225 (tptp.v13_lattices @t192) (tptp.v14_lattices @t192) (tptp.v15_lattices @t192) @t224)) % 0.37/0.94 (define @t227 () (or @t202 @t201 @t226)) % 0.37/0.94 (define @t228 () (not @t226)) % 0.37/0.94 (define @t229 () (@list @t226)) % 0.37/0.94 (define @t230 () (tptp.v10_lattices @t193)) % 0.37/0.94 (define @t231 () (tptp.v3_struct_0 @t193)) % 0.37/0.94 (define @t232 () (not @t231)) % 0.37/0.94 (define @t233 () (and @t232 @t217 (tptp.v4_lattices @t193) (tptp.v5_lattices @t193) (tptp.v6_lattices @t193) (tptp.v7_lattices @t193) (tptp.v8_lattices @t193) (tptp.v9_lattices @t193) @t230 (tptp.v4_lattice3 @t193))) % 0.37/0.94 (define @t234 () (not @t224)) % 0.37/0.94 (define @t235 () (not @t225)) % 0.37/0.94 (define @t236 () (or @t208 @t235 @t234 @t219 @t233)) % 0.37/0.94 (define @t237 () (and @t232 @t217)) % 0.37/0.94 (define @t238 () (or @t208 @t219 @t237)) % 0.37/0.94 (define @t239 () (@list @t190)) % 0.37/0.94 (define @t240 () (tptp.l2_conlat_1 @t190)) % 0.37/0.94 (define @t241 () (tptp.v3_conlat_1 @t190)) % 0.37/0.94 (define @t242 () (not @t241)) % 0.37/0.94 (define @t243 () (and @t242 (tptp.v4_conlat_1 @t190) @t240)) % 0.37/0.94 (define @t244 () (or @t202 @t201 @t243)) % 0.37/0.94 (define @t245 () (not @t243)) % 0.37/0.94 (define @t246 () (@list @t243)) % 0.37/0.94 (define @t247 () (tptp.l3_lattices @t191)) % 0.37/0.94 (define @t248 () (tptp.v3_lattices @t191)) % 0.37/0.94 (define @t249 () (tptp.v3_struct_0 @t191)) % 0.37/0.94 (define @t250 () (not @t249)) % 0.37/0.94 (define @t251 () (and @t250 @t248 @t247)) % 0.37/0.94 (define @t252 () (not @t240)) % 0.37/0.94 (define @t253 () (or @t241 @t252 @t251)) % 0.37/0.94 (define @t254 () (not @t251)) % 0.37/0.94 (define @t255 () (@list @t251)) % 0.37/0.94 (define @t256 () (tptp.v10_lattices @t191)) % 0.37/0.94 (define @t257 () (and @t250 @t248 (tptp.v4_lattices @t191) (tptp.v5_lattices @t191) (tptp.v6_lattices @t191) (tptp.v7_lattices @t191) (tptp.v8_lattices @t191) (tptp.v9_lattices @t191) @t256 (tptp.v13_lattices @t191) (tptp.v14_lattices @t191) (tptp.v15_lattices @t191) (tptp.v4_lattice3 @t191))) % 0.37/0.94 (define @t258 () (or @t241 @t252 @t257)) % 0.37/0.94 (define @t259 () (forall @t52 (or (not (tptp.m1_lattice4 @t26 @t193 @t191)) (not (tptp.v3_lattice4 @t26 @t193 @t191))))) % 0.37/0.94 (define @t260 () (not @t259)) % 0.37/0.94 (define @t261 () (tptp.r1_filter_1 @t193 @t191)) % 0.37/0.94 (define @t262 () (= @t261 @t260)) % 0.37/0.94 (define @t263 () (not @t247)) % 0.37/0.94 (define @t264 () (not @t256)) % 0.37/0.94 (define @t265 () (not @t216)) % 0.37/0.94 (define @t266 () (not @t230)) % 0.37/0.94 (define @t267 () (or @t231 @t266 @t265 @t249 @t264 @t263 @t262)) % 0.37/0.94 (define @t268 () (not @t63)) % 0.37/0.94 (define @t269 () (or @t179 @t165 @t164 @t181 @t175 @t174)) % 0.37/0.94 (define @t270 () (not @t261)) % 0.37/0.94 (define @t271 () (or @t231 @t266 @t265 @t249 @t264 @t263 @t270 @t200)) % 0.37/0.94 (define @t272 () (not @t262)) % 0.37/0.94 (define @t273 () (@list true false)) % 0.37/0.94 (define @t274 () (tptp.k10_conlat_2 @t189)) % 0.37/0.94 (define @t275 () (tptp.v3_lattice4 @t274 @t193 @t191)) % 0.37/0.94 (define @t276 () (or @t202 @t201 @t275)) % 0.37/0.94 (define @t277 () (tptp.m1_lattice4 @t274 @t193 @t191)) % 0.37/0.94 (define @t278 () (or @t202 @t201 @t277)) % 0.37/0.94 (define @t279 () (not @t275)) % 0.37/0.94 (define @t280 () (not @t277)) % 0.37/0.94 (define @t281 () (or @t280 @t279)) % 0.37/0.94 (define @t282 () (not @t281)) % 0.37/0.94 (assume @p1 @t13) % 0.37/0.94 (assume @p2 (forall @t11 (=> @t18 (=> @t17 (= @t1 (tptp.g3_lattices @t16 @t15 @t14)))))) % 0.37/0.94 (assume @p3 (forall @t11 (=> @t7 (=> @t22 (= @t1 (tptp.g2_conlat_1 @t21 @t20 @t19)))))) % 0.37/0.94 (assume @p4 (forall @t25 (=> @t24 (not (tptp.r2_hidden @t23 @t1))))) % 0.37/0.94 (assume @p5 (forall @t32 (=> @t31 (=> (and @t28 @t30) @t29)))) % 0.37/0.94 (assume @p6 (forall @t11 (=> @t18 (=> @t43 @t41)))) % 0.37/0.94 (assume @p7 (forall @t32 (=> @t46 @t44))) % 0.37/0.94 (assume @p8 (forall @t11 (=> @t18 (=> @t41 @t43)))) % 0.37/0.94 (assume @p9 (forall @t11 (=> @t18 (=> @t51 @t48)))) % 0.37/0.94 (assume @p10 (forall @t11 (=> @t18 (=> @t48 @t51)))) % 0.37/0.94 (assume @p11 (forall @t25 (=> @t54 (forall @t52 (=> @t31 (=> @t29 (and @t28 @t30 @t27))))))) % 0.37/0.94 (assume @p12 (forall @t25 (=> @t58 (forall @t52 (=> @t31 (=> @t29 (and @t28 (not @t55) @t30 @t27))))))) % 0.37/0.94 (assume @p13 @t75) % 0.37/0.94 (assume @p14 (forall @t11 (=> @t10 (= @t4 (tptp.g2_conlat_1 @t20 @t21 (tptp.k6_relset_1 @t21 @t20 @t19)))))) % 0.37/0.94 (assume @p15 (forall @t32 (=> @t31 (and (tptp.v4_conlat_1 @t76) (tptp.l2_conlat_1 @t76))))) % 0.37/0.94 (assume @p16 (forall @t32 (=> @t85 (and @t78 (tptp.l3_lattices @t77))))) % 0.37/0.94 (assume @p17 @t88) % 0.37/0.94 (assume @p18 @t92) % 0.37/0.94 (assume @p19 @t96) % 0.37/0.94 (assume @p20 true) % 0.37/0.94 (assume @p21 (forall @t11 (=> @t98 (tptp.v1_relat_1 @t97)))) % 0.37/0.94 (assume @p22 (forall @t32 (=> @t31 (tptp.m2_relset_1 @t99 @t23 @t1)))) % 0.37/0.94 (assume @p23 @t101) % 0.37/0.94 (assume @p24 (forall @t11 (=> @t103 @t102))) % 0.37/0.94 (assume @p25 (forall @t11 (=> @t7 @t104))) % 0.37/0.94 (assume @p26 (forall @t11 (=> @t105 @t102))) % 0.37/0.94 (assume @p27 (forall @t11 (=> @t18 (and @t103 @t105)))) % 0.37/0.94 (assume @p28 (forall @t25 (=> @t107 (forall @t52 (=> @t60 (and @t28 (tptp.v1_funct_2 @t26 @t16 @t106) (tptp.m2_relset_1 @t26 @t16 @t106))))))) % 0.37/0.94 (assume @p29 (forall @t32 (=> @t108 @t46))) % 0.37/0.94 (assume @p30 (forall @t11 (=> @t103 (and @t111 @t110 (tptp.m2_relset_1 @t14 @t109 @t16))))) % 0.37/0.94 (assume @p31 (forall @t11 (=> @t105 (and @t113 @t112 (tptp.m2_relset_1 @t15 @t109 @t16))))) % 0.37/0.94 (assume @p32 (forall @t11 (=> @t7 (tptp.m2_relset_1 @t19 @t21 @t20)))) % 0.37/0.94 (assume @p33 (exists @t11 @t104)) % 0.37/0.94 (assume @p34 (exists @t11 @t103)) % 0.37/0.94 (assume @p35 (exists @t11 @t102)) % 0.37/0.94 (assume @p36 (exists @t11 @t7)) % 0.37/0.94 (assume @p37 (exists @t11 @t105)) % 0.37/0.94 (assume @p38 (exists @t11 @t18)) % 0.37/0.94 (assume @p39 (forall @t25 (=> @t107 (exists @t52 @t60)))) % 0.37/0.94 (assume @p40 (forall @t25 (exists @t52 @t31))) % 0.37/0.94 (assume @p41 (forall @t11 (exists @t71 (tptp.m1_subset_1 @t23 @t1)))) % 0.37/0.94 (assume @p42 (forall @t25 (exists @t52 @t108))) % 0.37/0.94 (assume @p43 (forall @t11 (=> @t114 (not (tptp.v1_xboole_0 @t20))))) % 0.37/0.94 (assume @p44 @t124) % 0.37/0.94 (assume @p45 @t128) % 0.37/0.94 (assume @p46 (forall @t11 (=> @t129 (not (tptp.v1_xboole_0 @t16))))) % 0.37/0.94 (assume @p47 (forall @t11 (not (tptp.v1_xboole_0 @t130)))) % 0.37/0.94 (assume @p48 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 0.37/0.94 (assume @p49 (forall @t11 (=> @t114 (not (tptp.v1_xboole_0 @t21))))) % 0.37/0.94 (assume @p50 @t141) % 0.37/0.94 (assume @p51 (forall @t11 (=> (and @t40 @t38 @t105) (and @t143 @t113 @t112 (tptp.v1_binop_1 @t15 @t16) @t142)))) % 0.37/0.94 (assume @p52 (forall @t11 (=> (and @t40 @t37 @t105) (and @t143 @t113 @t112 (tptp.v2_binop_1 @t15 @t16) @t142)))) % 0.37/0.94 (assume @p53 (forall @t32 (=> (and @t57 @t84 @t83 @t82 @t28 @t81 @t80) (and (not (tptp.v3_struct_0 @t77)) @t78)))) % 0.37/0.94 (assume @p54 (forall @t11 (=> @t10 (and @t90 @t89 @t122 @t121 @t120 @t119 @t118 @t117 @t116)))) % 0.37/0.94 (assume @p55 (forall @t11 (=> (and @t40 @t36 @t103) (and @t145 @t111 @t110 (tptp.v1_binop_1 @t14 @t16) @t144)))) % 0.37/0.94 (assume @p56 (forall @t25 (=> @t58 (not (tptp.v1_xboole_0 @t45))))) % 0.37/0.94 (assume @p57 (forall @t11 (=> @t10 (and @t90 @t89 @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t115)))) % 0.37/0.94 (assume @p58 (forall @t11 (=> (and @t40 @t35 @t103) (and @t145 @t111 @t110 (tptp.v2_binop_1 @t14 @t16) @t144)))) % 0.37/0.94 (assume @p59 (forall @t11 (=> @t73 (and @t125 @t94 @t137 @t136 @t135 @t134 @t133 @t132 @t131)))) % 0.37/0.94 (assume @p60 (forall @t32 (=> @t31 (forall @t150 (=> (= @t76 (tptp.g2_conlat_1 @t148 @t147 @t146)) @t149))))) % 0.37/0.94 (assume @p61 (forall @t32 (=> @t85 (forall @t150 (=> (= @t77 (tptp.g3_lattices @t148 @t147 @t146)) @t149))))) % 0.37/0.94 (assume @p62 (forall @t11 (=> @t98 (= (tptp.k4_relat_1 @t97) @t1)))) % 0.37/0.94 (assume @p63 (forall @t32 (=> @t31 (= (tptp.k6_relset_1 @t1 @t23 @t99) @t26)))) % 0.37/0.94 (assume @p64 (exists @t11 (and @t18 @t40 @t17 @t38 @t37 @t36 @t35 @t34 @t33 @t42 @t50 @t49 @t47))) % 0.37/0.94 (assume @p65 (forall @t25 (exists @t52 (and @t31 @t44 @t28 @t27)))) % 0.37/0.94 (assume @p66 (forall @t11 (=> @t57 (exists @t71 (and @t151 @t54))))) % 0.37/0.94 (assume @p67 (exists @t11 @t56)) % 0.37/0.94 (assume @p68 (forall @t25 (exists @t52 (and @t31 @t44 @t28)))) % 0.37/0.94 (assume @p69 (forall @t11 (exists @t71 (and @t151 @t53)))) % 0.37/0.94 (assume @p70 (exists @t11 @t57)) % 0.37/0.94 (assume @p71 (exists @t11 (and @t18 @t17))) % 0.37/0.94 (assume @p72 (exists @t11 (and @t102 @t40))) % 0.37/0.94 (assume @p73 (exists @t11 (and @t7 @t22))) % 0.37/0.94 (assume @p74 (forall @t11 (=> @t129 (exists @t71 (and (tptp.m1_subset_1 @t23 (tptp.k1_zfmisc_1 @t16)) @t54))))) % 0.37/0.94 (assume @p75 (exists @t11 (and @t18 @t40 @t17))) % 0.37/0.94 (assume @p76 (exists @t11 (and @t7 @t9 @t22))) % 0.37/0.94 (assume @p77 (forall @t11 (=> @t114 (exists @t71 (and (tptp.m1_subset_1 @t23 (tptp.k1_zfmisc_1 @t21)) @t54))))) % 0.37/0.94 (assume @p78 (forall @t11 (=> @t114 (exists @t71 (and (tptp.m1_subset_1 @t23 (tptp.k1_zfmisc_1 @t20)) @t54))))) % 0.37/0.94 (assume @p79 (exists @t11 (and @t18 @t40 @t17 @t38 @t37 @t36 @t35 @t34 @t33 @t42))) % 0.37/0.94 (assume @p80 (forall @t32 (=> @t31 (= @t99 (tptp.k4_relat_1 @t26))))) % 0.37/0.94 (assume @p81 (forall @t32 (= @t108 @t31))) % 0.37/0.94 (assume @p82 (forall @t25 (=> @t107 (tptp.r1_filter_1 @t1 @t1)))) % 0.37/0.94 (assume @p83 (forall @t25 (tptp.r1_tarski @t1 @t1))) % 0.37/0.94 (assume @p84 @t154) % 0.37/0.94 (assume @p85 (forall @t25 (=> @t24 @t155))) % 0.37/0.94 (assume @p86 @t157) % 0.37/0.94 (assume @p87 (forall @t25 (=> @t155 (or @t53 @t24)))) % 0.37/0.94 (assume @p88 (forall @t25 (= (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t23)) (tptp.r1_tarski @t1 @t23)))) % 0.37/0.94 (assume @p89 (forall @t32 (=> (and @t24 @t158) (tptp.m1_subset_1 @t1 @t26)))) % 0.37/0.94 (assume @p90 (forall @t32 (not (and @t24 @t158 @t55)))) % 0.37/0.94 (assume @p91 (forall @t11 (=> @t56 (= @t1 tptp.k1_xboole_0)))) % 0.37/0.94 (assume @p92 (forall @t25 (not (and @t24 @t53)))) % 0.37/0.94 (assume @p93 (forall @t25 (not (and @t56 (not (= @t1 @t23)) @t53)))) % 0.37/0.94 (step @p94 :rule aci_norm :args ((= @t167 (or @t39 @t165 @t164 @t163 @t162 @t161 @t160)))) % 0.37/0.94 (step @p95 :rule cong :premises (@p94) :args (@t168)) % 0.37/0.94 (step @p96 :rule quant-merge-prenex :args ((= (forall @t11 @t170) @t168))) % 0.37/0.94 (step @p97 :rule alpha_equiv :args (@t171 (@list @t159) (@list @t23))) % 0.37/0.94 (step @p98 :rule refl :args (@t164)) % 0.37/0.94 (step @p99 :rule refl :args (@t165)) % 0.37/0.94 (step @p100 :rule refl :args (@t39)) % 0.37/0.94 (step @p101 :rule nary_cong :premises (@p100 @p99 @p98 @p97) :args (@t172)) % 0.37/0.94 (step @p102 :rule quant-miniscope-or :args ((= @t170 @t172))) % 0.37/0.94 (step @p103 :rule trans :premises (@p102 @p101)) % 0.37/0.94 (step @p104 :rule symm :premises (@p103)) % 0.37/0.94 (step @p105 :rule cong :premises (@p104) :args ((forall @t11 @t178))) % 0.37/0.94 (step @p106 :rule trans :premises (@p105 @p96)) % 0.37/0.94 (step @p107 :rule trans :premises (@p106 @p95)) % 0.37/0.94 (step @p108 :rule aci_norm :args ((= (or (or @t39 @t165 @t164) @t177) @t178))) % 0.37/0.94 (step @p109 :rule refl :args (@t177)) % 0.37/0.94 (step @p110 :rule bool-double-not-elim :args (@t39)) % 0.37/0.94 (step @p111 :rule nary_cong :premises (@p110 @p99 @p98) :args (@t180)) % 0.37/0.94 (step @p112 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@p318 :rule aci_norm :args ((= (or @t179 (or @t165 (or @t164 @t183))) @t269))) % 0.37/0.94 (step @p319 :rule trans :premises (@p318 @p317)) % 0.37/0.94 (step @p320 :rule nary_cong :premises (@p98 @p138) :args ((or @t164 @t184))) % 0.37/0.94 (step @p321 :rule bool-and-de-morgan :args (@t18 @t68 (and @t66 @t65))) % 0.37/0.94 (step @p322 :rule trans :premises (@p321 @p320)) % 0.37/0.94 (step @p323 :rule nary_cong :premises (@p99 @p322) :args ((or @t165 (not (and @t18 @t68 @t66 @t65))))) % 0.37/0.94 (step @p324 :rule bool-and-de-morgan :args (@t42 @t18 (and @t68 @t66 @t65))) % 0.37/0.95 (step @p325 :rule trans :premises (@p324 @p323)) % 0.37/0.95 (step @p326 :rule nary_cong :premises (@p115 @p325) :args ((or @t179 (not (and @t42 @t18 @t68 @t66 @t65))))) % 0.37/0.95 (step @p327 :rule bool-and-de-morgan :args (@t40 @t42 (and @t18 @t68 @t66 @t65))) % 0.37/0.95 (step @p328 :rule trans :premises (@p327 @p326)) % 0.37/0.95 (step @p329 :rule trans :premises (@p328 @p319)) % 0.37/0.95 (step @p330 :rule nary_cong :premises (@p329 @p316) :args ((or (not @t107) @t153))) % 0.37/0.95 (step @p331 :rule trans :premises (@p330 @p315)) % 0.37/0.95 (step @p332 :rule bool-impl-elim :args (@t107 @t153)) % 0.37/0.95 (step @p333 :rule trans :premises (@p332 @p331)) % 0.37/0.95 (step @p334 :rule cong :premises (@p333) :args (@t154)) % 0.37/0.95 (step @p335 :rule eq_resolve :premises (@p84 @p334)) % 0.37/0.95 (step @p336 :rule instantiate :premises (@p335) :args (@t194)) % 0.37/0.95 (step @p337 :rule cnf_or_neg :args (@t203 2)) % 0.37/0.95 (step @p338 :rule chain_m_resolution :premises (@p337 @p189) :args ((not @t200) @t204 @t205)) % 0.37/0.95 (step @p339 :rule cnf_or_pos :args (@t271)) % 0.37/0.95 (step @p340 :rule reordering :premises (@p339) :args ((or @t200 @t249 @t264 @t263 @t231 @t266 @t265 @t270 (not @t271)))) % 0.37/0.95 (step @p341 :rule chain_m_resolution :premises (@p340 @p338 @p311 @p308 @p301 @p276 @p258 @p210 @p336) :args (@t270 (@list true true false false true false false false) (@list @t200 @t249 @t256 @t247 @t231 @t230 @t216 @t271))) % 0.37/0.95 (step @p342 :rule bool-double-not-elim :args (@t259)) % 0.37/0.95 (step @p343 :rule refl :args (@t261)) % 0.37/0.95 (step @p344 :rule refl :args (@t272)) % 0.37/0.95 (step @p345 :rule nary_cong :premises (@p344 @p343 @p342) :args ((or @t272 @t261 (not @t260)))) % 0.37/0.95 (step @p346 :rule cnf_equiv_pos2 :args (@t262)) % 0.37/0.95 (step @p347 :rule eq_resolve :premises (@p346 @p345)) % 0.37/0.95 (step @p348 :rule reordering :premises (@p347) :args ((or @t261 @t259 @t272))) % 0.37/0.95 (step @p349 :rule chain_m_resolution :premises (@p348 @p341 @p314) :args (@t259 @t273 (@list @t261 @t262))) % 0.37/0.95 (step @p350 :rule aci_norm :args ((= (or @t196 @t156) (or @t8 @t187 @t156)))) % 0.37/0.95 (step @p351 :rule refl :args (@t156)) % 0.37/0.95 (step @p352 :rule nary_cong :premises (@p172 @p351) :args ((or @t197 @t156))) % 0.37/0.95 (step @p353 :rule trans :premises (@p352 @p350)) % 0.37/0.95 (step @p354 :rule bool-impl-elim :args (@t10 @t156)) % 0.37/0.95 (step @p355 :rule trans :premises (@p354 @p353)) % 0.37/0.95 (step @p356 :rule cong :premises (@p355) :args (@t157)) % 0.37/0.95 (step @p357 :rule eq_resolve :premises (@p86 @p356)) % 0.37/0.95 (step @p358 :rule instantiate :premises (@p357) :args (@t198)) % 0.37/0.95 (step @p359 :rule cnf_or_pos :args (@t276)) % 0.37/0.95 (step @p360 :rule reordering :premises (@p359) :args ((or @t202 @t201 @t275 (not @t276)))) % 0.37/0.95 (step @p361 :rule chain_m_resolution :premises (@p360 @p198 @p196 @p358) :args (@t275 @t212 (@list @t202 @t199 @t276))) % 0.37/0.95 (step @p362 :rule aci_norm :args ((= (or @t196 @t87) (or @t8 @t187 @t87)))) % 0.37/0.95 (step @p363 :rule refl :args (@t87)) % 0.37/0.95 (step @p364 :rule nary_cong :premises (@p172 @p363) :args ((or @t197 @t87))) % 0.37/0.95 (step @p365 :rule trans :premises (@p364 @p362)) % 0.37/0.95 (step @p366 :rule bool-impl-elim :args (@t10 @t87)) % 0.37/0.95 (step @p367 :rule trans :premises (@p366 @p365)) % 0.37/0.95 (step @p368 :rule cong :premises (@p367) :args (@t88)) % 0.37/0.95 (step @p369 :rule eq_resolve :premises (@p17 @p368)) % 0.37/0.95 (step @p370 :rule instantiate :premises (@p369) :args (@t198)) % 0.37/0.95 (step @p371 :rule cnf_or_pos :args (@t278)) % 0.37/0.95 (step @p372 :rule reordering :premises (@p371) :args ((or @t202 @t201 @t277 (not @t278)))) % 0.37/0.95 (step @p373 :rule chain_m_resolution :premises (@p372 @p198 @p196 @p370) :args (@t277 @t212 (@list @t202 @t199 @t278))) % 0.37/0.95 (step @p374 :rule cnf_or_pos :args (@t281)) % 0.37/0.95 (step @p375 :rule reordering :premises (@p374) :args ((or @t280 @t279 @t282))) % 0.37/0.95 (step @p376 :rule chain_m_resolution :premises (@p375 @p373 @p361) :args (@t282 @t221 (@list @t277 @t275))) % 0.37/0.95 (assume-push @p383 @t259) % 0.37/0.95 (step @p378 :rule instantiate :premises (@p349) :args ((@list @t274))) % 0.37/0.95 (step-pop @p384 :rule scope :premises (@p378)) % 0.37/0.95 (step @p379 :rule process_scope :premises (@p384) :args (@t281)) % 0.37/0.95 (step @p381 :rule implies_elim :premises (@p379)) % 0.37/0.95 (step @p382 false :rule chain_m_resolution :premises (@p381 @p376 @p349) :args (false @t273 (@list @t281 @t259))) % 0.37/0.95 ) % 0.37/0.95 % SZS output end Proof % 0.37/0.95 % cvc5 exiting %------------------------------------------------------------------------------