%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT301+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 : 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 08:30:12 AM UTC 2026 % Result : Theorem 0.37s 0.73s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT301+1 : TPTP v9.2.1. Released v3.4.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 06:18:05 EDT 2026 % 0.17/0.35 % CPUTime : % 0.31/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.73 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.73 % SZS status Theorem % 0.37/0.73 % SZS output start Proof % 0.37/0.73 ( % 0.37/0.73 (declare-sort $$unsorted 0) % 0.37/0.73 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.37/0.73 (declare-const tptp.v2_binop_1 (-> $$unsorted $$unsorted Bool)) % 0.37/0.73 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.73 (declare-const tptp.m2_lattice4 (-> $$unsorted $$unsorted Bool)) % 0.37/0.73 (declare-const tptp.m1_filter_0 (-> $$unsorted $$unsorted Bool)) % 0.37/0.73 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 0.37/0.73 (declare-const tptp.m1_filter_2 (-> $$unsorted $$unsorted Bool)) % 0.37/0.73 (declare-const tptp.k15_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.73 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.73 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.73 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 0.37/0.73 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.73 (declare-const tptp.v3_lattices (-> $$unsorted Bool)) % 0.37/0.73 (declare-const tptp.v6_lattices (-> $$unsorted Bool)) % 0.37/0.73 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 0.37/0.73 (declare-const tptp.v7_lattices (-> $$unsorted Bool)) % 0.37/0.73 (declare-const tptp.u2_lattices (-> $$unsorted $$unsorted)) % 0.37/0.73 (declare-const tptp.v8_lattices (-> $$unsorted Bool)) % 0.37/0.73 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.37/0.73 (declare-const tptp.u1_lattices (-> $$unsorted $$unsorted)) % 0.37/0.73 (declare-const tptp.v9_lattices (-> $$unsorted Bool)) % 0.37/0.73 (declare-const tptp.l2_lattices (-> $$unsorted Bool)) % 0.37/0.73 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 0.37/0.73 (declare-const tptp.k6_lattices (-> $$unsorted $$unsorted)) % 0.37/0.73 (declare-const tptp.v10_lattices (-> $$unsorted Bool)) % 0.37/0.73 (declare-const tptp.v1_binop_1 (-> $$unsorted $$unsorted Bool)) % 0.37/0.73 (declare-const tptp.l1_lattices (-> $$unsorted Bool)) % 0.37/0.73 (declare-const tptp.g3_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.73 (declare-const tptp.l3_lattices (-> $$unsorted Bool)) % 0.37/0.73 (declare-const tptp.v14_lattices (-> $$unsorted Bool)) % 0.37/0.73 (declare-const tptp.m2_filter_2 (-> $$unsorted $$unsorted Bool)) % 0.37/0.73 (declare-const tptp.v13_lattices (-> $$unsorted Bool)) % 0.37/0.73 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.37/0.73 (declare-const tptp.k5_lattices (-> $$unsorted $$unsorted)) % 0.37/0.73 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.37/0.73 (declare-const tptp.k1_lattice2 (-> $$unsorted $$unsorted)) % 0.37/0.73 (declare-const tptp.v5_lattices (-> $$unsorted Bool)) % 0.37/0.73 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 0.37/0.73 (declare-const tptp.v4_lattices (-> $$unsorted Bool)) % 0.37/0.73 (declare-const tptp.k7_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.73 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 0.37/0.73 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.73 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.37/0.73 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.37/0.73 (declare-const tptp.v15_lattices (-> $$unsorted Bool)) % 0.37/0.73 (define @t1 () (@var "B" $$unsorted)) % 0.37/0.73 (define @t2 () (@var "A" $$unsorted)) % 0.37/0.73 (define @t3 () (tptp.k5_lattices @t2)) % 0.37/0.73 (define @t4 () (tptp.r2_hidden @t3 @t1)) % 0.37/0.73 (define @t5 () (tptp.v13_lattices @t2)) % 0.37/0.73 (define @t6 () (=> @t5 @t4)) % 0.37/0.73 (define @t7 () (tptp.m2_filter_2 @t1 @t2)) % 0.37/0.73 (define @t8 () (@list @t1)) % 0.37/0.73 (define @t9 () (forall @t8 (=> @t7 @t6))) % 0.37/0.73 (define @t10 () (tptp.l3_lattices @t2)) % 0.37/0.73 (define @t11 () (tptp.v10_lattices @t2)) % 0.37/0.73 (define @t12 () (tptp.v3_struct_0 @t2)) % 0.37/0.73 (define @t13 () (not @t12)) % 0.37/0.73 (define @t14 () (and @t13 @t11 @t10)) % 0.37/0.73 (define @t15 () (=> @t14 @t9)) % 0.37/0.73 (define @t16 () (@list @t2)) % 0.37/0.73 (define @t17 () (forall @t16 @t15)) % 0.37/0.73 (define @t18 () (not @t17)) % 0.37/0.73 (define @t19 () (tptp.u1_lattices @t2)) % 0.37/0.73 (define @t20 () (tptp.u2_lattices @t2)) % 0.37/0.73 (define @t21 () (tptp.u1_struct_0 @t2)) % 0.37/0.73 (define @t22 () (tptp.v3_lattices @t2)) % 0.37/0.73 (define @t23 () (tptp.r2_hidden @t2 @t1)) % 0.37/0.73 (define @t24 () (@list @t2 @t1)) % 0.37/0.73 (define @t25 () (tptp.v1_funct_1 @t2)) % 0.37/0.73 (define @t26 () (tptp.v1_xboole_0 @t2)) % 0.37/0.73 (define @t27 () (tptp.v9_lattices @t2)) % 0.37/0.73 (define @t28 () (tptp.v8_lattices @t2)) % 0.37/0.73 (define @t29 () (tptp.v7_lattices @t2)) % 0.37/0.73 (define @t30 () (tptp.v6_lattices @t2)) % 0.37/0.73 (define @t31 () (tptp.v5_lattices @t2)) % 0.37/0.73 (define @t32 () (tptp.v4_lattices @t2)) % 0.37/0.73 (define @t33 () (and @t13 @t32 @t31 @t30 @t29 @t28 @t27)) % 0.37/0.73 (define @t34 () (and @t13 @t11)) % 0.37/0.73 (define @t35 () (@var "C" $$unsorted)) % 0.37/0.73 (define @t36 () (tptp.k2_zfmisc_1 @t2 @t1)) % 0.37/0.73 (define @t37 () (tptp.m1_subset_1 @t35 (tptp.k1_zfmisc_1 @t36))) % 0.37/0.73 (define @t38 () (@list @t2 @t1 @t35)) % 0.37/0.73 (define @t39 () (tptp.v1_relat_1 @t2)) % 0.37/0.73 (define @t40 () (and @t39 @t25 (tptp.v2_funct_1 @t2))) % 0.37/0.73 (define @t41 () (and @t39 @t26 @t25)) % 0.37/0.73 (define @t42 () (tptp.v15_lattices @t2)) % 0.37/0.73 (define @t43 () (and @t13 @t42)) % 0.37/0.73 (define @t44 () (tptp.v14_lattices @t2)) % 0.37/0.73 (define @t45 () (and @t13 @t5 @t44)) % 0.37/0.73 (define @t46 () (tptp.k1_lattice2 @t2)) % 0.37/0.73 (define @t47 () (tptp.k7_filter_2 @t2 @t1)) % 0.37/0.73 (define @t48 () (tptp.k1_zfmisc_1 @t21)) % 0.37/0.73 (define @t49 () (tptp.m1_subset_1 @t1 @t48)) % 0.37/0.73 (define @t50 () (=> @t49 (= @t47 @t1))) % 0.37/0.73 (define @t51 () (forall @t8 @t50)) % 0.37/0.73 (define @t52 () (=> @t14 @t51)) % 0.37/0.73 (define @t53 () (forall @t16 @t52)) % 0.37/0.73 (define @t54 () (tptp.g3_lattices @t2 @t1 @t35)) % 0.37/0.73 (define @t55 () (tptp.v3_lattices @t54)) % 0.37/0.73 (define @t56 () (tptp.k2_zfmisc_1 @t2 @t2)) % 0.37/0.73 (define @t57 () (tptp.m1_relset_1 @t35 @t56 @t2)) % 0.37/0.73 (define @t58 () (tptp.v1_funct_2 @t35 @t56 @t2)) % 0.37/0.73 (define @t59 () (tptp.v1_funct_1 @t35)) % 0.37/0.73 (define @t60 () (tptp.m1_relset_1 @t1 @t56 @t2)) % 0.37/0.73 (define @t61 () (tptp.v1_funct_2 @t1 @t56 @t2)) % 0.37/0.73 (define @t62 () (tptp.v1_funct_1 @t1)) % 0.37/0.73 (define @t63 () (and @t62 @t61 @t60 @t59 @t58 @t57)) % 0.37/0.73 (define @t64 () (tptp.k15_filter_2 @t2 @t1)) % 0.37/0.73 (define @t65 () (tptp.m1_filter_2 @t64 @t46)) % 0.37/0.73 (define @t66 () (and @t13 @t11 @t10 @t7)) % 0.37/0.73 (define @t67 () (forall @t24 (=> @t66 @t65))) % 0.37/0.73 (define @t68 () (tptp.v3_lattices @t46)) % 0.37/0.73 (define @t69 () (and @t68 (tptp.l3_lattices @t46))) % 0.37/0.73 (define @t70 () (forall @t16 (=> @t10 @t69))) % 0.37/0.73 (define @t71 () (tptp.l1_lattices @t2)) % 0.37/0.73 (define @t72 () (tptp.k6_lattices @t2)) % 0.37/0.73 (define @t73 () (tptp.l2_lattices @t2)) % 0.37/0.73 (define @t74 () (tptp.l1_struct_0 @t2)) % 0.37/0.73 (define @t75 () (tptp.v1_xboole_0 @t1)) % 0.37/0.73 (define @t76 () (not @t75)) % 0.37/0.73 (define @t77 () (tptp.m1_filter_0 @t1 @t2)) % 0.37/0.73 (define @t78 () (tptp.m2_lattice4 @t1 @t2)) % 0.37/0.73 (define @t79 () (and @t76 @t78)) % 0.37/0.73 (define @t80 () (tptp.m1_filter_2 @t1 @t2)) % 0.37/0.73 (define @t81 () (forall @t8 (=> @t7 @t79))) % 0.37/0.73 (define @t82 () (=> @t14 @t81)) % 0.37/0.73 (define @t83 () (forall @t16 @t82)) % 0.37/0.73 (define @t84 () (forall @t8 (=> @t78 @t49))) % 0.37/0.73 (define @t85 () (=> @t14 @t84)) % 0.37/0.73 (define @t86 () (forall @t16 @t85)) % 0.37/0.73 (define @t87 () (tptp.m2_relset_1 @t35 @t2 @t1)) % 0.37/0.73 (define @t88 () (tptp.k2_zfmisc_1 @t21 @t21)) % 0.37/0.73 (define @t89 () (tptp.v1_funct_2 @t19 @t88 @t21)) % 0.37/0.73 (define @t90 () (tptp.v1_funct_1 @t19)) % 0.37/0.73 (define @t91 () (tptp.v1_funct_2 @t20 @t88 @t21)) % 0.37/0.73 (define @t92 () (tptp.v1_funct_1 @t20)) % 0.37/0.73 (define @t93 () (tptp.m1_relset_1 @t35 @t2 @t1)) % 0.37/0.73 (define @t94 () (@list @t35)) % 0.37/0.73 (define @t95 () (not (tptp.v3_struct_0 @t46))) % 0.37/0.73 (define @t96 () (and @t95 @t68)) % 0.37/0.73 (define @t97 () (and @t13 @t10)) % 0.37/0.73 (define @t98 () (forall @t16 (=> @t97 @t96))) % 0.37/0.73 (define @t99 () (and @t13 @t74)) % 0.37/0.73 (define @t100 () (tptp.k1_zfmisc_1 @t2)) % 0.37/0.73 (define @t101 () (tptp.v1_partfun1 @t20 @t88 @t21)) % 0.37/0.73 (define @t102 () (tptp.v1_relat_1 @t20)) % 0.37/0.73 (define @t103 () (not @t26)) % 0.37/0.73 (define @t104 () (tptp.v1_partfun1 @t19 @t88 @t21)) % 0.37/0.73 (define @t105 () (tptp.v1_relat_1 @t19)) % 0.37/0.73 (define @t106 () (and @t95 @t68 (tptp.v4_lattices @t46) (tptp.v5_lattices @t46) (tptp.v6_lattices @t46) (tptp.v7_lattices @t46) (tptp.v8_lattices @t46) (tptp.v9_lattices @t46) (tptp.v10_lattices @t46))) % 0.37/0.73 (define @t107 () (forall @t16 (=> @t14 @t106))) % 0.37/0.73 (define @t108 () (@var "F" $$unsorted)) % 0.37/0.73 (define @t109 () (@var "E" $$unsorted)) % 0.37/0.73 (define @t110 () (@var "D" $$unsorted)) % 0.37/0.73 (define @t111 () (tptp.m1_subset_1 @t1 @t100)) % 0.37/0.73 (define @t112 () (=> @t66 (= @t64 @t47))) % 0.37/0.73 (define @t113 () (forall @t24 @t112)) % 0.37/0.73 (define @t114 () (forall @t8 (= @t80 @t77))) % 0.37/0.73 (define @t115 () (=> @t14 @t114)) % 0.37/0.73 (define @t116 () (forall @t16 @t115)) % 0.37/0.73 (define @t117 () (tptp.r2_hidden @t72 @t1)) % 0.37/0.73 (define @t118 () (and @t13 @t11 @t44 @t10)) % 0.37/0.73 (define @t119 () (=> @t118 @t117)) % 0.37/0.73 (define @t120 () (forall @t8 (=> @t77 @t119))) % 0.37/0.73 (define @t121 () (=> @t14 @t120)) % 0.37/0.73 (define @t122 () (forall @t16 @t121)) % 0.37/0.73 (define @t123 () (tptp.m1_subset_1 @t2 @t1)) % 0.37/0.73 (define @t124 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t35))) % 0.37/0.73 (define @t125 () (= @t5 (tptp.v14_lattices @t46))) % 0.37/0.73 (define @t126 () (forall @t16 (=> @t14 @t125))) % 0.37/0.73 (define @t127 () (= @t3 (tptp.k6_lattices @t46))) % 0.37/0.73 (define @t128 () (and @t13 @t11 @t5 @t10)) % 0.37/0.73 (define @t129 () (forall @t16 (=> @t128 @t127))) % 0.37/0.73 (define @t130 () (not @t10)) % 0.37/0.73 (define @t131 () (not @t13)) % 0.37/0.73 (define @t132 () (@var "BOUND_VARIABLE_7848" $$unsorted)) % 0.37/0.73 (define @t133 () (tptp.r2_hidden @t3 @t132)) % 0.37/0.73 (define @t134 () (not (tptp.m2_filter_2 @t132 @t2))) % 0.37/0.73 (define @t135 () (not @t5)) % 0.37/0.73 (define @t136 () (not @t11)) % 0.37/0.73 (define @t137 () (or @t12 @t136 @t130 @t135 @t134 @t133)) % 0.37/0.73 (define @t138 () (@list @t2 @t132)) % 0.37/0.73 (define @t139 () (forall @t138 @t137)) % 0.37/0.73 (define @t140 () (@quantifiers_skolemize @t139 0)) % 0.37/0.73 (define @t141 () (@list @t140)) % 0.37/0.73 (define @t142 () (or @t134 @t133)) % 0.37/0.73 (define @t143 () (or @t12 @t136 @t130 @t135 @t142)) % 0.37/0.73 (define @t144 () (forall @t138 @t143)) % 0.37/0.73 (define @t145 () (@list @t132)) % 0.37/0.73 (define @t146 () (forall @t145 @t143)) % 0.37/0.73 (define @t147 () (forall @t145 @t142)) % 0.37/0.73 (define @t148 () (@list @t1)) % 0.37/0.73 (define @t149 () (or @t12 @t136 @t130 @t135 @t147)) % 0.37/0.73 (define @t150 () (not @t7)) % 0.37/0.73 (define @t151 () (or @t150 @t4)) % 0.37/0.73 (define @t152 () (forall @t8 @t151)) % 0.37/0.73 (define @t153 () (or @t12 @t136 @t130 @t135 @t152)) % 0.37/0.73 (define @t154 () (or @t135 @t152)) % 0.37/0.73 (define @t155 () (or @t12 @t136 @t130)) % 0.37/0.73 (define @t156 () (or @t131 @t136 @t130)) % 0.37/0.73 (define @t157 () (not @t14)) % 0.37/0.73 (define @t158 () (or @t135 @t151)) % 0.37/0.73 (define @t159 () (or @t150 @t135 @t4)) % 0.37/0.73 (define @t160 () (tptp.l3_lattices @t140)) % 0.37/0.73 (define @t161 () (@quantifiers_skolemize @t139 1)) % 0.37/0.73 (define @t162 () (tptp.k5_lattices @t140)) % 0.37/0.73 (define @t163 () (tptp.r2_hidden @t162 @t161)) % 0.37/0.73 (define @t164 () (tptp.m2_filter_2 @t161 @t140)) % 0.37/0.73 (define @t165 () (not @t164)) % 0.37/0.73 (define @t166 () (tptp.v13_lattices @t140)) % 0.37/0.73 (define @t167 () (not @t166)) % 0.37/0.73 (define @t168 () (not @t160)) % 0.37/0.73 (define @t169 () (tptp.v10_lattices @t140)) % 0.37/0.73 (define @t170 () (not @t169)) % 0.37/0.73 (define @t171 () (tptp.v3_struct_0 @t140)) % 0.37/0.73 (define @t172 () (or @t171 @t170 @t168 @t167 @t165 @t163)) % 0.37/0.73 (define @t173 () (@list true)) % 0.37/0.73 (define @t174 () (@list @t172)) % 0.37/0.73 (define @t175 () (tptp.k1_lattice2 @t140)) % 0.37/0.73 (define @t176 () (tptp.v3_lattices @t175)) % 0.37/0.73 (define @t177 () (tptp.v3_struct_0 @t175)) % 0.37/0.73 (define @t178 () (not @t177)) % 0.37/0.73 (define @t179 () (and @t178 @t176)) % 0.37/0.73 (define @t180 () (or @t171 @t168 @t179)) % 0.37/0.73 (define @t181 () (@list false)) % 0.37/0.73 (define @t182 () (tptp.v10_lattices @t175)) % 0.37/0.73 (define @t183 () (and @t178 @t176 (tptp.v4_lattices @t175) (tptp.v5_lattices @t175) (tptp.v6_lattices @t175) (tptp.v7_lattices @t175) (tptp.v8_lattices @t175) (tptp.v9_lattices @t175) @t182)) % 0.37/0.73 (define @t184 () (or @t171 @t170 @t168 @t183)) % 0.37/0.73 (define @t185 () (@list true false false false)) % 0.37/0.73 (define @t186 () (tptp.v14_lattices @t175)) % 0.37/0.73 (define @t187 () (= @t166 @t186)) % 0.37/0.73 (define @t188 () (or @t171 @t170 @t168 @t187)) % 0.37/0.73 (define @t189 () (@list false false)) % 0.37/0.73 (define @t190 () (tptp.l3_lattices @t175)) % 0.37/0.73 (define @t191 () (and @t176 @t190)) % 0.37/0.73 (define @t192 () (or @t168 @t191)) % 0.37/0.73 (define @t193 () (@var "BOUND_VARIABLE_8352" $$unsorted)) % 0.37/0.73 (define @t194 () (tptp.r2_hidden @t72 @t193)) % 0.37/0.73 (define @t195 () (not (tptp.m1_filter_0 @t193 @t2))) % 0.37/0.73 (define @t196 () (not @t44)) % 0.37/0.73 (define @t197 () (or @t195 @t194)) % 0.37/0.73 (define @t198 () (or @t12 @t136 @t130 @t196 @t197)) % 0.37/0.73 (define @t199 () (forall (@list @t2 @t193) @t198)) % 0.37/0.73 (define @t200 () (@list @t193)) % 0.37/0.73 (define @t201 () (forall @t200 @t198)) % 0.37/0.73 (define @t202 () (forall @t200 @t197)) % 0.37/0.73 (define @t203 () (or @t12 @t136 @t130 @t196 @t202)) % 0.37/0.73 (define @t204 () (not @t77)) % 0.37/0.73 (define @t205 () (or @t204 @t117)) % 0.37/0.73 (define @t206 () (forall @t8 @t205)) % 0.37/0.73 (define @t207 () (or @t12 @t136 @t130 @t196 @t206)) % 0.37/0.73 (define @t208 () (or @t12 @t136 @t196 @t130 @t206)) % 0.37/0.73 (define @t209 () (or @t12 @t136 @t196 @t130 @t205)) % 0.37/0.73 (define @t210 () (or @t204 @t12 @t136 @t196 @t130 @t117)) % 0.37/0.73 (define @t211 () (or @t12 @t136 @t196 @t130 @t117)) % 0.37/0.73 (define @t212 () (or @t131 @t136 @t196 @t130)) % 0.37/0.73 (define @t213 () (or @t131 @t136 @t135 @t130)) % 0.37/0.73 (define @t214 () (tptp.k6_lattices @t175)) % 0.37/0.73 (define @t215 () (= @t162 @t214)) % 0.37/0.73 (define @t216 () (or @t171 @t170 @t167 @t168 @t215)) % 0.37/0.73 (define @t217 () (@list true false false false false)) % 0.37/0.73 (define @t218 () (tptp.r2_hidden @t214 @t161)) % 0.37/0.73 (define @t219 () (@var "BOUND_VARIABLE_8329" $$unsorted)) % 0.37/0.73 (define @t220 () (= (tptp.m1_filter_0 @t219 @t2) (tptp.m1_filter_2 @t219 @t2))) % 0.37/0.73 (define @t221 () (or @t12 @t136 @t130 @t220)) % 0.37/0.73 (define @t222 () (forall (@list @t2 @t219) @t221)) % 0.37/0.73 (define @t223 () (@list @t219)) % 0.37/0.73 (define @t224 () (forall @t223 @t221)) % 0.37/0.73 (define @t225 () (forall @t223 @t220)) % 0.37/0.73 (define @t226 () (or @t12 @t136 @t130 @t225)) % 0.37/0.73 (define @t227 () (forall @t8 (= @t77 @t80))) % 0.37/0.73 (define @t228 () (or @t12 @t136 @t130 @t227)) % 0.37/0.73 (define @t229 () (tptp.k15_filter_2 @t140 @t161)) % 0.37/0.73 (define @t230 () (tptp.m1_filter_0 @t229 @t175)) % 0.37/0.73 (define @t231 () (tptp.m1_filter_2 @t229 @t175)) % 0.37/0.73 (define @t232 () (not @t190)) % 0.37/0.73 (define @t233 () (not @t182)) % 0.37/0.73 (define @t234 () (or @t177 @t233 @t232 (= @t230 @t231))) % 0.37/0.73 (define @t235 () (= @t231 @t230)) % 0.37/0.73 (define @t236 () (or @t177 @t233 @t232 @t235)) % 0.37/0.73 (define @t237 () (or @t12 @t136 @t130 @t150)) % 0.37/0.73 (define @t238 () (or @t131 @t136 @t130 @t150)) % 0.37/0.73 (define @t239 () (not @t66)) % 0.37/0.73 (define @t240 () (@list @t140 @t161)) % 0.37/0.73 (define @t241 () (or @t171 @t170 @t168 @t165 @t231)) % 0.37/0.73 (define @t242 () (= @t47 @t64)) % 0.37/0.73 (define @t243 () (or @t12 @t136 @t130 @t150 @t242)) % 0.37/0.73 (define @t244 () (tptp.k7_filter_2 @t140 @t161)) % 0.37/0.73 (define @t245 () (or @t171 @t170 @t168 @t165 (= @t244 @t229))) % 0.37/0.73 (define @t246 () (forall @t24 @t243)) % 0.37/0.73 (define @t247 () (= @t229 @t244)) % 0.37/0.73 (define @t248 () (or @t171 @t170 @t168 @t165 @t247)) % 0.37/0.73 (define @t249 () (@var "BOUND_VARIABLE_7929" $$unsorted)) % 0.37/0.73 (define @t250 () (= @t249 (tptp.k7_filter_2 @t2 @t249))) % 0.37/0.73 (define @t251 () (not (tptp.m1_subset_1 @t249 @t48))) % 0.37/0.73 (define @t252 () (or @t251 @t250)) % 0.37/0.73 (define @t253 () (or @t12 @t136 @t130 @t252)) % 0.37/0.73 (define @t254 () (forall (@list @t2 @t249) @t253)) % 0.37/0.73 (define @t255 () (@list @t249)) % 0.37/0.73 (define @t256 () (forall @t255 @t253)) % 0.37/0.73 (define @t257 () (forall @t255 @t252)) % 0.37/0.73 (define @t258 () (or @t12 @t136 @t130 @t257)) % 0.37/0.73 (define @t259 () (= @t1 @t47)) % 0.37/0.73 (define @t260 () (forall @t8 (or (not @t49) @t259))) % 0.37/0.73 (define @t261 () (or @t12 @t136 @t130 @t260)) % 0.37/0.73 (define @t262 () (@var "BOUND_VARIABLE_8059" $$unsorted)) % 0.37/0.73 (define @t263 () (tptp.m1_subset_1 @t262 @t48)) % 0.37/0.73 (define @t264 () (not (tptp.m2_lattice4 @t262 @t2))) % 0.37/0.73 (define @t265 () (or @t264 @t263)) % 0.37/0.73 (define @t266 () (or @t12 @t136 @t130 @t265)) % 0.37/0.73 (define @t267 () (forall (@list @t2 @t262) @t266)) % 0.37/0.73 (define @t268 () (@list @t262)) % 0.37/0.73 (define @t269 () (forall @t268 @t266)) % 0.37/0.73 (define @t270 () (forall @t268 @t265)) % 0.37/0.73 (define @t271 () (or @t12 @t136 @t130 @t270)) % 0.37/0.73 (define @t272 () (forall @t8 (or (not @t78) @t49))) % 0.37/0.73 (define @t273 () (or @t12 @t136 @t130 @t272)) % 0.37/0.73 (define @t274 () (@var "BOUND_VARIABLE_8037" $$unsorted)) % 0.37/0.73 (define @t275 () (and (not (tptp.v1_xboole_0 @t274)) (tptp.m2_lattice4 @t274 @t2))) % 0.37/0.73 (define @t276 () (not (tptp.m2_filter_2 @t274 @t2))) % 0.37/0.73 (define @t277 () (or @t276 @t275)) % 0.37/0.73 (define @t278 () (or @t12 @t136 @t130 @t277)) % 0.37/0.73 (define @t279 () (forall (@list @t2 @t274) @t278)) % 0.37/0.73 (define @t280 () (@list @t274)) % 0.37/0.73 (define @t281 () (forall @t280 @t278)) % 0.37/0.73 (define @t282 () (forall @t280 @t277)) % 0.37/0.73 (define @t283 () (or @t12 @t136 @t130 @t282)) % 0.37/0.73 (define @t284 () (forall @t8 (or @t150 @t79))) % 0.37/0.73 (define @t285 () (or @t12 @t136 @t130 @t284)) % 0.37/0.73 (define @t286 () (tptp.m2_lattice4 @t161 @t140)) % 0.37/0.73 (define @t287 () (and (not (tptp.v1_xboole_0 @t161)) @t286)) % 0.37/0.73 (define @t288 () (or @t171 @t170 @t168 @t165 @t287)) % 0.37/0.73 (define @t289 () (tptp.m1_subset_1 @t161 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 @t140)))) % 0.37/0.73 (define @t290 () (not @t286)) % 0.37/0.73 (define @t291 () (or @t171 @t170 @t168 @t290 @t289)) % 0.37/0.73 (define @t292 () (= @t161 @t244)) % 0.37/0.73 (define @t293 () (not @t289)) % 0.37/0.73 (define @t294 () (or @t171 @t170 @t168 @t293 @t292)) % 0.37/0.73 (define @t295 () (tptp.m1_filter_0 @t161 @t175)) % 0.37/0.73 (define @t296 () (not @t295)) % 0.37/0.73 (define @t297 () (not @t186)) % 0.37/0.73 (define @t298 () (or @t177 @t233 @t232 @t297 @t296 @t218)) % 0.37/0.73 (assume @p1 @t18) % 0.37/0.73 (assume @p2 (forall @t16 (=> @t10 (=> @t22 (= @t2 (tptp.g3_lattices @t21 @t20 @t19)))))) % 0.37/0.73 (assume @p3 (forall @t24 (=> @t23 (not (tptp.r2_hidden @t1 @t2))))) % 0.37/0.73 (assume @p4 (forall @t16 (=> @t26 @t25))) % 0.37/0.73 (assume @p5 (forall @t16 (=> @t10 (=> @t34 @t33)))) % 0.37/0.73 (assume @p6 (forall @t38 (=> @t37 (tptp.v1_relat_1 @t35)))) % 0.37/0.73 (assume @p7 (forall @t16 (=> @t41 @t40))) % 0.37/0.73 (assume @p8 (forall @t16 (=> @t10 (=> @t33 @t34)))) % 0.37/0.73 (assume @p9 (forall @t16 (=> @t10 (=> @t45 @t43)))) % 0.37/0.73 (assume @p10 (forall @t16 (=> @t10 (=> @t43 @t45)))) % 0.37/0.73 (assume @p11 (forall @t16 (=> @t10 (= @t46 (tptp.g3_lattices @t21 @t19 @t20))))) % 0.37/0.73 (assume @p12 @t53) % 0.37/0.73 (assume @p13 (forall @t38 (=> @t63 (and @t55 (tptp.l3_lattices @t54))))) % 0.37/0.73 (assume @p14 @t67) % 0.37/0.73 (assume @p15 @t70) % 0.37/0.73 (assume @p16 true) % 0.37/0.73 (assume @p17 (forall @t16 (=> (and @t13 @t71) (tptp.m1_subset_1 @t3 @t21)))) % 0.37/0.73 (assume @p18 (forall @t16 (=> (and @t13 @t73) (tptp.m1_subset_1 @t72 @t21)))) % 0.37/0.73 (assume @p19 (forall @t24 (=> (and @t13 @t11 @t10 @t49) (tptp.m1_subset_1 @t47 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 @t46)))))) % 0.37/0.73 (assume @p20 (forall @t16 (=> @t71 @t74))) % 0.37/0.73 (assume @p21 (forall @t16 (=> @t73 @t74))) % 0.37/0.73 (assume @p22 (forall @t16 (=> @t10 (and @t71 @t73)))) % 0.37/0.73 (assume @p23 (forall @t16 (=> @t14 (forall @t8 (=> @t77 (and @t76 @t49)))))) % 0.37/0.73 (assume @p24 (forall @t16 (=> @t14 (forall @t8 (=> @t80 @t79))))) % 0.37/0.73 (assume @p25 @t83) % 0.37/0.73 (assume @p26 @t86) % 0.37/0.73 (assume @p27 (forall @t38 (=> @t87 @t37))) % 0.37/0.73 (assume @p28 (forall @t16 (=> @t71 (and @t90 @t89 (tptp.m2_relset_1 @t19 @t88 @t21))))) % 0.37/0.73 (assume @p29 (forall @t16 (=> @t73 (and @t92 @t91 (tptp.m2_relset_1 @t20 @t88 @t21))))) % 0.37/0.73 (assume @p30 (exists @t16 @t71)) % 0.37/0.73 (assume @p31 (exists @t16 @t74)) % 0.37/0.73 (assume @p32 (exists @t16 @t73)) % 0.37/0.73 (assume @p33 (exists @t16 @t10)) % 0.37/0.73 (assume @p34 (forall @t16 (=> @t14 (exists @t8 @t77)))) % 0.37/0.73 (assume @p35 (forall @t16 (=> @t14 (exists @t8 @t80)))) % 0.37/0.73 (assume @p36 (forall @t24 (exists @t94 @t93))) % 0.37/0.73 (assume @p37 (forall @t16 (exists @t8 (tptp.m1_subset_1 @t1 @t2)))) % 0.37/0.73 (assume @p38 (forall @t16 (=> @t14 (exists @t8 @t7)))) % 0.37/0.73 (assume @p39 (forall @t16 (=> @t14 (exists @t8 @t78)))) % 0.37/0.73 (assume @p40 (forall @t24 (exists @t94 @t87))) % 0.37/0.73 (assume @p41 (forall @t24 (=> (and @t13 @t11 @t10 @t76 @t49) (not (tptp.v1_xboole_0 @t47))))) % 0.37/0.73 (assume @p42 @t98) % 0.37/0.73 (assume @p43 (forall @t16 (=> @t99 (not (tptp.v1_xboole_0 @t21))))) % 0.37/0.73 (assume @p44 (forall @t16 (not (tptp.v1_xboole_0 @t100)))) % 0.37/0.73 (assume @p45 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 0.37/0.73 (assume @p46 (forall @t16 (=> (and @t13 @t32 @t73) (and @t102 @t92 @t91 (tptp.v1_binop_1 @t20 @t21) @t101)))) % 0.37/0.73 (assume @p47 (forall @t16 (=> (and @t13 @t31 @t73) (and @t102 @t92 @t91 (tptp.v2_binop_1 @t20 @t21) @t101)))) % 0.37/0.73 (assume @p48 (forall @t38 (=> (and @t103 @t62 @t61 @t60 @t59 @t58 @t57) (and (not (tptp.v3_struct_0 @t54)) @t55)))) % 0.37/0.73 (assume @p49 (forall @t16 (=> (and @t13 @t30 @t71) (and @t105 @t90 @t89 (tptp.v1_binop_1 @t19 @t21) @t104)))) % 0.37/0.73 (assume @p50 (forall @t24 (=> (and @t103 @t76) (not (tptp.v1_xboole_0 @t36))))) % 0.37/0.73 (assume @p51 (forall @t16 (=> (and @t13 @t29 @t71) (and @t105 @t90 @t89 (tptp.v2_binop_1 @t19 @t21) @t104)))) % 0.37/0.73 (assume @p52 @t107) % 0.37/0.73 (assume @p53 (forall @t38 (=> @t63 (forall (@list @t110 @t109 @t108) (=> (= @t54 (tptp.g3_lattices @t110 @t109 @t108)) (and (= @t2 @t110) (= @t1 @t109) (= @t35 @t108))))))) % 0.37/0.73 (assume @p54 (exists @t16 (and @t10 @t13 @t22 @t32 @t31 @t30 @t29 @t28 @t27 @t11 @t5 @t44 @t42))) % 0.37/0.73 (assume @p55 (exists @t16 (and @t39 @t25))) % 0.37/0.73 (assume @p56 (forall @t16 (=> @t14 (exists @t8 (and @t78 @t76))))) % 0.37/0.73 (assume @p57 (forall @t16 (=> @t103 (exists @t8 (and @t111 @t76))))) % 0.37/0.73 (assume @p58 (exists @t16 @t26)) % 0.37/0.73 (assume @p59 (exists @t16 @t41)) % 0.37/0.73 (assume @p60 (forall @t16 (exists @t8 (and @t111 @t75)))) % 0.37/0.73 (assume @p61 (exists @t16 @t103)) % 0.37/0.73 (assume @p62 (exists @t16 @t40)) % 0.37/0.73 (assume @p63 (exists @t16 (and @t10 @t22))) % 0.37/0.73 (assume @p64 (exists @t16 (and @t74 @t13))) % 0.37/0.73 (assume @p65 (forall @t16 (=> @t99 (exists @t8 (and @t49 @t76))))) % 0.37/0.73 (assume @p66 (exists @t16 (and @t10 @t13 @t22))) % 0.37/0.73 (assume @p67 (exists @t16 (and @t10 @t13 @t22 @t32 @t31 @t30 @t29 @t28 @t27 @t11))) % 0.37/0.73 (assume @p68 @t113) % 0.37/0.73 (assume @p69 @t116) % 0.37/0.73 (assume @p70 (forall @t38 (= @t87 @t93))) % 0.37/0.73 (assume @p71 (forall @t24 (tptp.r1_tarski @t2 @t2))) % 0.37/0.73 (assume @p72 @t122) % 0.37/0.73 (assume @p73 (forall @t24 (=> @t23 @t123))) % 0.37/0.73 (assume @p74 (forall @t24 (=> @t123 (or @t75 @t23)))) % 0.37/0.73 (assume @p75 (forall @t24 (= (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t1)) (tptp.r1_tarski @t2 @t1)))) % 0.37/0.73 (assume @p76 (forall @t38 (=> (and @t23 @t124) (tptp.m1_subset_1 @t2 @t35)))) % 0.37/0.73 (assume @p77 (forall @t38 (not (and @t23 @t124 (tptp.v1_xboole_0 @t35))))) % 0.37/0.73 (assume @p78 @t126) % 0.37/0.73 (assume @p79 (forall @t16 (=> @t26 (= @t2 tptp.k1_xboole_0)))) % 0.37/0.73 (assume @p80 @t129) % 0.37/0.73 (assume @p81 (forall @t24 (not (and @t23 @t75)))) % 0.37/0.73 (assume @p82 (forall @t24 (not (and @t26 (not (= @t2 @t1)) @t75)))) % 0.37/0.73 (step @p83 :rule aci_norm :args ((= (or (or @t12 @t130) @t96) (or @t12 @t130 @t96)))) % 0.37/0.73 (step @p84 :rule refl :args (@t96)) % 0.37/0.73 (step @p85 :rule refl :args (@t130)) % 0.37/0.73 (step @p86 :rule bool-double-not-elim :args (@t12)) % 0.37/0.73 (step @p87 :rule nary_cong :premises (@p86 @p85) :args ((or @t131 @t130))) % 0.37/0.73 (step @p88 :rule bool-and-de-morgan :args (@t13 @t10 true)) % 0.37/0.73 (step @p89 :rule trans :premises (@p88 @p87)) % 0.37/0.73 (step @p90 :rule nary_cong :premises (@p89 @p84) :args ((or (not @t97) @t96))) % 0.37/0.73 (step @p91 :rule trans :premises (@p90 @p83)) % 0.37/0.73 (step @p92 :rule bool-impl-elim :args (@t97 @t96)) % 0.37/0.73 (step @p93 :rule trans :premises (@p92 @p91)) % 0.37/0.73 (step @p94 :rule cong :premises (@p93) :args (@t98)) % 0.37/0.73 (step @p95 :rule eq_resolve :premises (@p42 @p94)) % 0.37/0.73 (step @p96 :rule instantiate :premises (@p95) :args (@t141)) % 0.37/0.73 (step @p97 :rule aci_norm :args ((= @t143 @t137))) % 0.37/0.73 (step @p98 :rule cong :premises (@p97) :args (@t144)) % 0.37/0.73 (step @p99 :rule quant-merge-prenex :args ((= (forall @t16 @t146) @t144))) % 0.37/0.73 (step @p100 :rule alpha_equiv :args (@t147 (@list @t132) @t148)) % 0.37/0.73 (step @p101 :rule refl :args (@t135)) % 0.37/0.73 (step @p102 :rule refl :args (@t136)) % 0.37/0.73 (step @p103 :rule refl :args (@t12)) % 0.37/0.73 (step @p104 :rule nary_cong :premises (@p103 @p102 @p85 @p101 @p100) :args (@t149)) % 0.37/0.73 (step @p105 :rule quant-miniscope-or :args ((= @t146 @t149))) % 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(step @p485 :rule trans :premises (@p484 @p480)) % 0.37/0.73 (step @p486 :rule eq_resolve :premises (@p25 @p485)) % 0.37/0.73 (step @p487 :rule instantiate :premises (@p486) :args (@t240)) % 0.37/0.73 (step @p488 :rule cnf_or_pos :args (@t288)) % 0.37/0.73 (step @p489 :rule reordering :premises (@p488) :args ((or @t171 @t170 @t168 @t165 @t287 (not @t288)))) % 0.37/0.73 (step @p490 :rule chain_m_resolution :premises (@p489 @p156 @p177 @p154 @p364 @p487) :args (@t287 @t217 (@list @t171 @t169 @t160 @t164 @t288))) % 0.37/0.73 (step @p491 :rule cnf_and_pos :args (@t287 1)) % 0.37/0.73 (step @p492 :rule reordering :premises (@p491) :args ((or @t286 (not @t287)))) % 0.37/0.73 (step @p493 :rule chain_m_resolution :premises (@p492 @p490) :args (@t286 @t181 (@list @t287))) % 0.37/0.73 (step @p494 :rule cnf_or_pos :args (@t291)) % 0.37/0.73 (step @p495 :rule reordering :premises (@p494) :args ((or @t171 @t170 @t168 @t290 @t289 (not @t291)))) % 0.37/0.73 (step @p496 :rule chain_m_resolution :premises (@p495 @p156 @p177 @p154 @p493 @p461) :args (@t289 @t217 (@list @t171 @t169 @t160 @t286 @t291))) % 0.37/0.73 (step @p497 :rule cnf_or_pos :args (@t294)) % 0.37/0.73 (step @p498 :rule reordering :premises (@p497) :args ((or @t171 @t170 @t168 @t293 @t292 (not @t294)))) % 0.37/0.73 (step @p499 :rule chain_m_resolution :premises (@p498 @p156 @p177 @p154 @p496 @p435) :args (@t292 @t217 (@list @t171 @t169 @t160 @t289 @t294))) % 0.37/0.73 (step @p500 :rule trans :premises (@p499 @p404)) % 0.37/0.73 (step @p501 :rule cong :premises (@p500 @p372) :args (@t295)) % 0.37/0.73 (step @p502 :rule trans :premises (@p501 @p371)) % 0.37/0.73 (step @p503 :rule true_elim :premises (@p502)) % 0.37/0.73 (step @p504 :rule cnf_or_pos :args (@t298)) % 0.37/0.73 (step @p505 :rule reordering :premises (@p504) :args ((or @t177 @t233 @t297 @t232 @t296 @t218 (not @t298)))) % 0.37/0.73 (step @p506 false :rule chain_m_resolution :premises (@p505 @p503 @p299 @p268 @p214 @p204 @p183 @p162) :args (false (@list false true false false false false true) (@list @t295 @t218 @t298 @t190 @t186 @t182 @t177))) % 0.37/0.73 ) % 0.37/0.73 % SZS output end Proof % 0.37/0.73 % cvc5 exiting %------------------------------------------------------------------------------