%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT303+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 : n015.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 0.71s 1.02s % Output : Proof 0.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT303+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 : n015.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 06:18:19 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.71/1.02 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.71/1.02 % SZS status Theorem % 0.71/1.02 % SZS output start Proof % 0.71/1.02 ( % 0.71/1.02 (declare-sort $$unsorted 0) % 0.71/1.02 (declare-const tptp.v2_binop_1 (-> $$unsorted $$unsorted Bool)) % 0.71/1.02 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.71/1.02 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.71/1.02 (declare-const tptp.m1_filter_2 (-> $$unsorted $$unsorted Bool)) % 0.71/1.02 (declare-const tptp.m2_lattice4 (-> $$unsorted $$unsorted Bool)) % 0.71/1.02 (declare-const tptp.m1_filter_0 (-> $$unsorted $$unsorted Bool)) % 0.71/1.02 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.71/1.02 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.71/1.02 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.71/1.02 (declare-const tptp.l2_lattices (-> $$unsorted Bool)) % 0.71/1.02 (declare-const tptp.m2_filter_2 (-> $$unsorted $$unsorted Bool)) % 0.71/1.02 (declare-const tptp.v3_lattices (-> $$unsorted Bool)) % 0.71/1.02 (declare-const tptp.k5_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 0.71/1.02 (declare-const tptp.v7_lattices (-> $$unsorted Bool)) % 0.71/1.02 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 0.71/1.02 (declare-const tptp.g3_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.71/1.02 (declare-const tptp.v8_lattices (-> $$unsorted Bool)) % 0.71/1.02 (declare-const tptp.v10_lattices (-> $$unsorted Bool)) % 0.71/1.02 (declare-const tptp.u1_lattices (-> $$unsorted $$unsorted)) % 0.71/1.02 (declare-const tptp.v9_lattices (-> $$unsorted Bool)) % 0.71/1.02 (declare-const tptp.k1_tarski (-> $$unsorted $$unsorted)) % 0.71/1.02 (declare-const tptp.u2_lattices (-> $$unsorted $$unsorted)) % 0.71/1.02 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 0.71/1.02 (declare-const tptp.l3_lattices (-> $$unsorted Bool)) % 0.71/1.02 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.71/1.02 (declare-const tptp.k6_domain_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.71/1.02 (declare-const tptp.l1_lattices (-> $$unsorted Bool)) % 0.71/1.02 (declare-const tptp.v14_lattices (-> $$unsorted Bool)) % 0.71/1.02 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 0.71/1.02 (declare-const tptp.v15_lattices (-> $$unsorted Bool)) % 0.71/1.02 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 0.71/1.02 (declare-const tptp.v1_finset_1 (-> $$unsorted Bool)) % 0.71/1.02 (declare-const tptp.v13_lattices (-> $$unsorted Bool)) % 0.71/1.02 (declare-const tptp.v1_realset1 (-> $$unsorted Bool)) % 0.71/1.02 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 0.71/1.02 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.71/1.02 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.71/1.02 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.71/1.02 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.71/1.02 (declare-const tptp.v6_lattices (-> $$unsorted Bool)) % 0.71/1.02 (declare-const tptp.v5_lattices (-> $$unsorted Bool)) % 0.71/1.02 (declare-const tptp.v4_lattices (-> $$unsorted Bool)) % 0.71/1.02 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.71/1.02 (declare-const tptp.v1_binop_1 (-> $$unsorted $$unsorted Bool)) % 0.71/1.02 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 0.71/1.02 (declare-const tptp.k1_lattice2 (-> $$unsorted $$unsorted)) % 0.71/1.02 (define @t1 () (@var "A" $$unsorted)) % 0.71/1.02 (define @t2 () (tptp.v13_lattices @t1)) % 0.71/1.02 (define @t3 () (@var "B" $$unsorted)) % 0.71/1.02 (define @t4 () (tptp.u1_struct_0 @t1)) % 0.71/1.02 (define @t5 () (tptp.k6_domain_1 @t4 @t3)) % 0.71/1.02 (define @t6 () (tptp.m2_filter_2 @t5 @t1)) % 0.71/1.02 (define @t7 () (=> @t6 @t2)) % 0.71/1.02 (define @t8 () (tptp.m1_subset_1 @t3 @t4)) % 0.71/1.02 (define @t9 () (@list @t3)) % 0.71/1.02 (define @t10 () (forall @t9 (=> @t8 @t7))) % 0.71/1.02 (define @t11 () (tptp.l3_lattices @t1)) % 0.71/1.02 (define @t12 () (tptp.v10_lattices @t1)) % 0.71/1.02 (define @t13 () (tptp.v3_struct_0 @t1)) % 0.71/1.02 (define @t14 () (not @t13)) % 0.71/1.02 (define @t15 () (and @t14 @t12 @t11)) % 0.71/1.02 (define @t16 () (=> @t15 @t10)) % 0.71/1.02 (define @t17 () (@list @t1)) % 0.71/1.02 (define @t18 () (forall @t17 @t16)) % 0.71/1.02 (define @t19 () (not @t18)) % 0.71/1.02 (define @t20 () (tptp.u1_lattices @t1)) % 0.71/1.02 (define @t21 () (tptp.u2_lattices @t1)) % 0.71/1.02 (define @t22 () (tptp.v3_lattices @t1)) % 0.71/1.02 (define @t23 () (tptp.r2_hidden @t1 @t3)) % 0.71/1.02 (define @t24 () (@list @t1 @t3)) % 0.71/1.02 (define @t25 () (tptp.v1_funct_1 @t1)) % 0.71/1.02 (define @t26 () (tptp.v1_xboole_0 @t1)) % 0.71/1.02 (define @t27 () (tptp.v9_lattices @t1)) % 0.71/1.02 (define @t28 () (tptp.v8_lattices @t1)) % 0.71/1.02 (define @t29 () (tptp.v7_lattices @t1)) % 0.71/1.02 (define @t30 () (tptp.v6_lattices @t1)) % 0.71/1.02 (define @t31 () (tptp.v5_lattices @t1)) % 0.71/1.02 (define @t32 () (tptp.v4_lattices @t1)) % 0.71/1.02 (define @t33 () (and @t14 @t32 @t31 @t30 @t29 @t28 @t27)) % 0.71/1.02 (define @t34 () (and @t14 @t12)) % 0.71/1.02 (define @t35 () (not @t26)) % 0.71/1.02 (define @t36 () (tptp.v1_realset1 @t1)) % 0.71/1.02 (define @t37 () (not @t36)) % 0.71/1.02 (define @t38 () (@var "C" $$unsorted)) % 0.71/1.02 (define @t39 () (tptp.k2_zfmisc_1 @t1 @t3)) % 0.71/1.02 (define @t40 () (tptp.m1_subset_1 @t38 (tptp.k1_zfmisc_1 @t39))) % 0.71/1.02 (define @t41 () (@list @t1 @t3 @t38)) % 0.71/1.02 (define @t42 () (tptp.v1_relat_1 @t1)) % 0.71/1.02 (define @t43 () (and @t42 @t25 (tptp.v2_funct_1 @t1))) % 0.71/1.02 (define @t44 () (and @t42 @t26 @t25)) % 0.71/1.02 (define @t45 () (tptp.v15_lattices @t1)) % 0.71/1.02 (define @t46 () (and @t14 @t45)) % 0.71/1.02 (define @t47 () (tptp.v14_lattices @t1)) % 0.71/1.02 (define @t48 () (and @t14 @t2 @t47)) % 0.71/1.02 (define @t49 () (tptp.k1_lattice2 @t1)) % 0.71/1.02 (define @t50 () (tptp.k5_filter_2 @t1 @t3)) % 0.71/1.02 (define @t51 () (=> @t8 (= @t50 @t3))) % 0.71/1.02 (define @t52 () (forall @t9 @t51)) % 0.71/1.02 (define @t53 () (=> @t15 @t52)) % 0.71/1.02 (define @t54 () (forall @t17 @t53)) % 0.71/1.02 (define @t55 () (tptp.g3_lattices @t1 @t3 @t38)) % 0.71/1.02 (define @t56 () (tptp.v3_lattices @t55)) % 0.71/1.02 (define @t57 () (tptp.k2_zfmisc_1 @t1 @t1)) % 0.71/1.02 (define @t58 () (tptp.m1_relset_1 @t38 @t57 @t1)) % 0.71/1.02 (define @t59 () (tptp.v1_funct_2 @t38 @t57 @t1)) % 0.71/1.02 (define @t60 () (tptp.v1_funct_1 @t38)) % 0.71/1.02 (define @t61 () (tptp.m1_relset_1 @t3 @t57 @t1)) % 0.71/1.02 (define @t62 () (tptp.v1_funct_2 @t3 @t57 @t1)) % 0.71/1.02 (define @t63 () (tptp.v1_funct_1 @t3)) % 0.71/1.02 (define @t64 () (and @t63 @t62 @t61 @t60 @t59 @t58)) % 0.71/1.02 (define @t65 () (tptp.v3_lattices @t49)) % 0.71/1.02 (define @t66 () (and @t65 (tptp.l3_lattices @t49))) % 0.71/1.02 (define @t67 () (forall @t17 (=> @t11 @t66))) % 0.71/1.02 (define @t68 () (tptp.m1_subset_1 @t50 (tptp.u1_struct_0 @t49))) % 0.71/1.02 (define @t69 () (and @t14 @t12 @t11 @t8)) % 0.71/1.02 (define @t70 () (forall @t24 (=> @t69 @t68))) % 0.71/1.02 (define @t71 () (tptp.k1_zfmisc_1 @t1)) % 0.71/1.02 (define @t72 () (tptp.k6_domain_1 @t1 @t3)) % 0.71/1.02 (define @t73 () (tptp.m1_subset_1 @t3 @t1)) % 0.71/1.02 (define @t74 () (and @t35 @t73)) % 0.71/1.02 (define @t75 () (tptp.l1_struct_0 @t1)) % 0.71/1.02 (define @t76 () (tptp.l1_lattices @t1)) % 0.71/1.02 (define @t77 () (forall @t17 (=> @t76 @t75))) % 0.71/1.02 (define @t78 () (tptp.l2_lattices @t1)) % 0.71/1.02 (define @t79 () (and @t76 @t78)) % 0.71/1.02 (define @t80 () (forall @t17 (=> @t11 @t79))) % 0.71/1.02 (define @t81 () (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 @t4))) % 0.71/1.02 (define @t82 () (tptp.v1_xboole_0 @t3)) % 0.71/1.02 (define @t83 () (not @t82)) % 0.71/1.02 (define @t84 () (tptp.m1_filter_0 @t3 @t1)) % 0.71/1.02 (define @t85 () (tptp.m2_lattice4 @t3 @t1)) % 0.71/1.02 (define @t86 () (and @t83 @t85)) % 0.71/1.02 (define @t87 () (tptp.m1_filter_2 @t3 @t1)) % 0.71/1.02 (define @t88 () (tptp.m2_filter_2 @t3 @t1)) % 0.71/1.02 (define @t89 () (tptp.m2_relset_1 @t38 @t1 @t3)) % 0.71/1.02 (define @t90 () (tptp.k2_zfmisc_1 @t4 @t4)) % 0.71/1.02 (define @t91 () (tptp.v1_funct_2 @t20 @t90 @t4)) % 0.71/1.02 (define @t92 () (tptp.v1_funct_1 @t20)) % 0.71/1.02 (define @t93 () (tptp.v1_funct_2 @t21 @t90 @t4)) % 0.71/1.02 (define @t94 () (tptp.v1_funct_1 @t21)) % 0.71/1.02 (define @t95 () (tptp.m1_relset_1 @t38 @t1 @t3)) % 0.71/1.02 (define @t96 () (@list @t38)) % 0.71/1.02 (define @t97 () (not (tptp.v3_struct_0 @t49))) % 0.71/1.02 (define @t98 () (and @t97 @t65)) % 0.71/1.02 (define @t99 () (and @t14 @t11)) % 0.71/1.02 (define @t100 () (forall @t17 (=> @t99 @t98))) % 0.71/1.02 (define @t101 () (not (tptp.v1_xboole_0 @t4))) % 0.71/1.02 (define @t102 () (and @t14 @t75)) % 0.71/1.02 (define @t103 () (forall @t17 (=> @t102 @t101))) % 0.71/1.02 (define @t104 () (tptp.v1_partfun1 @t21 @t90 @t4)) % 0.71/1.02 (define @t105 () (tptp.v1_relat_1 @t21)) % 0.71/1.02 (define @t106 () (tptp.k1_tarski @t1)) % 0.71/1.02 (define @t107 () (not (tptp.v1_xboole_0 @t106))) % 0.71/1.02 (define @t108 () (tptp.v1_partfun1 @t20 @t90 @t4)) % 0.71/1.02 (define @t109 () (tptp.v1_relat_1 @t20)) % 0.71/1.02 (define @t110 () (and @t97 @t65 (tptp.v4_lattices @t49) (tptp.v5_lattices @t49) (tptp.v6_lattices @t49) (tptp.v7_lattices @t49) (tptp.v8_lattices @t49) (tptp.v9_lattices @t49) (tptp.v10_lattices @t49))) % 0.71/1.02 (define @t111 () (forall @t17 (=> @t15 @t110))) % 0.71/1.02 (define @t112 () (@var "F" $$unsorted)) % 0.71/1.02 (define @t113 () (@var "E" $$unsorted)) % 0.71/1.02 (define @t114 () (@var "D" $$unsorted)) % 0.71/1.02 (define @t115 () (tptp.m1_subset_1 @t3 @t71)) % 0.71/1.02 (define @t116 () (= @t72 (tptp.k1_tarski @t3))) % 0.71/1.02 (define @t117 () (forall @t24 (=> @t74 @t116))) % 0.71/1.02 (define @t118 () (forall @t9 (= @t87 @t84))) % 0.71/1.02 (define @t119 () (=> @t15 @t118)) % 0.71/1.02 (define @t120 () (forall @t17 @t119)) % 0.71/1.02 (define @t121 () (tptp.m1_filter_0 @t5 @t1)) % 0.71/1.02 (define @t122 () (=> @t121 @t47)) % 0.71/1.02 (define @t123 () (forall @t9 (=> @t8 @t122))) % 0.71/1.02 (define @t124 () (=> @t15 @t123)) % 0.71/1.02 (define @t125 () (forall @t17 @t124)) % 0.71/1.02 (define @t126 () (tptp.m1_subset_1 @t1 @t3)) % 0.71/1.02 (define @t127 () (forall @t9 (= @t88 (tptp.m1_filter_2 @t3 @t49)))) % 0.71/1.02 (define @t128 () (forall @t17 (=> @t15 @t127))) % 0.71/1.02 (define @t129 () (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 @t38))) % 0.71/1.02 (define @t130 () (= @t2 (tptp.v14_lattices @t49))) % 0.71/1.02 (define @t131 () (forall @t17 (=> @t15 @t130))) % 0.71/1.02 (define @t132 () (@var "BOUND_VARIABLE_7851" $$unsorted)) % 0.71/1.02 (define @t133 () (not (tptp.m2_filter_2 (tptp.k6_domain_1 @t4 @t132) @t1))) % 0.71/1.02 (define @t134 () (not (tptp.m1_subset_1 @t132 @t4))) % 0.71/1.02 (define @t135 () (not @t11)) % 0.71/1.02 (define @t136 () (not @t12)) % 0.71/1.02 (define @t137 () (or @t13 @t136 @t135 @t2 @t134 @t133)) % 0.71/1.02 (define @t138 () (@list @t1 @t132)) % 0.71/1.02 (define @t139 () (forall @t138 @t137)) % 0.71/1.02 (define @t140 () (@quantifiers_skolemize @t139 0)) % 0.71/1.02 (define @t141 () (tptp.k1_lattice2 @t140)) % 0.71/1.02 (define @t142 () (@list @t141)) % 0.71/1.02 (define @t143 () (@list @t140)) % 0.71/1.02 (define @t144 () (or @t134 @t133)) % 0.71/1.02 (define @t145 () (or @t13 @t136 @t135 @t2 @t144)) % 0.71/1.02 (define @t146 () (forall @t138 @t145)) % 0.71/1.02 (define @t147 () (@list @t132)) % 0.71/1.02 (define @t148 () (forall @t147 @t145)) % 0.71/1.02 (define @t149 () (forall @t147 @t144)) % 0.71/1.02 (define @t150 () (@list @t3)) % 0.71/1.02 (define @t151 () (or @t13 @t136 @t135 @t2 @t149)) % 0.71/1.02 (define @t152 () (not @t6)) % 0.71/1.02 (define @t153 () (not @t8)) % 0.71/1.02 (define @t154 () (or @t153 @t152)) % 0.71/1.02 (define @t155 () (forall @t9 @t154)) % 0.71/1.02 (define @t156 () (or @t13 @t136 @t135 @t2 @t155)) % 0.71/1.02 (define @t157 () (or @t2 @t155)) % 0.71/1.02 (define @t158 () (or @t13 @t136 @t135)) % 0.71/1.02 (define @t159 () (not @t14)) % 0.71/1.02 (define @t160 () (or @t159 @t136 @t135)) % 0.71/1.02 (define @t161 () (not @t15)) % 0.71/1.02 (define @t162 () (or @t2 @t154)) % 0.71/1.02 (define @t163 () (or @t153 @t152 @t2)) % 0.71/1.02 (define @t164 () (tptp.l3_lattices @t140)) % 0.71/1.02 (define @t165 () (@quantifiers_skolemize @t139 1)) % 0.71/1.02 (define @t166 () (tptp.u1_struct_0 @t140)) % 0.71/1.02 (define @t167 () (tptp.k6_domain_1 @t166 @t165)) % 0.71/1.02 (define @t168 () (tptp.m2_filter_2 @t167 @t140)) % 0.71/1.02 (define @t169 () (not @t168)) % 0.71/1.02 (define @t170 () (tptp.m1_subset_1 @t165 @t166)) % 0.71/1.02 (define @t171 () (not @t170)) % 0.71/1.02 (define @t172 () (tptp.v13_lattices @t140)) % 0.71/1.02 (define @t173 () (not @t164)) % 0.71/1.02 (define @t174 () (tptp.v10_lattices @t140)) % 0.71/1.02 (define @t175 () (not @t174)) % 0.71/1.02 (define @t176 () (tptp.v3_struct_0 @t140)) % 0.71/1.02 (define @t177 () (or @t176 @t175 @t173 @t172 @t171 @t169)) % 0.71/1.02 (define @t178 () (@list true)) % 0.71/1.02 (define @t179 () (@list @t177)) % 0.71/1.02 (define @t180 () (tptp.l3_lattices @t141)) % 0.71/1.02 (define @t181 () (tptp.v3_lattices @t141)) % 0.71/1.02 (define @t182 () (and @t181 @t180)) % 0.71/1.02 (define @t183 () (or @t173 @t182)) % 0.71/1.02 (define @t184 () (@list false false)) % 0.71/1.02 (define @t185 () (@list false)) % 0.71/1.02 (define @t186 () (tptp.l1_lattices @t141)) % 0.71/1.02 (define @t187 () (and @t186 (tptp.l2_lattices @t141))) % 0.71/1.02 (define @t188 () (not @t180)) % 0.71/1.02 (define @t189 () (or @t188 @t187)) % 0.71/1.02 (define @t190 () (not @t75)) % 0.71/1.02 (define @t191 () (not @t73)) % 0.71/1.02 (define @t192 () (tptp.k5_filter_2 @t140 @t165)) % 0.71/1.02 (define @t193 () (tptp.u1_struct_0 @t141)) % 0.71/1.02 (define @t194 () (@var "BOUND_VARIABLE_8378" $$unsorted)) % 0.71/1.02 (define @t195 () (not (tptp.m1_filter_0 (tptp.k6_domain_1 @t4 @t194) @t1))) % 0.71/1.02 (define @t196 () (not (tptp.m1_subset_1 @t194 @t4))) % 0.71/1.02 (define @t197 () (or @t196 @t195)) % 0.71/1.02 (define @t198 () (or @t13 @t136 @t135 @t47 @t197)) % 0.71/1.02 (define @t199 () (forall (@list @t1 @t194) @t198)) % 0.71/1.02 (define @t200 () (@list @t194)) % 0.71/1.02 (define @t201 () (forall @t200 @t198)) % 0.71/1.02 (define @t202 () (forall @t200 @t197)) % 0.71/1.02 (define @t203 () (or @t13 @t136 @t135 @t47 @t202)) % 0.71/1.02 (define @t204 () (not @t121)) % 0.71/1.02 (define @t205 () (or @t153 @t204)) % 0.71/1.02 (define @t206 () (forall @t9 @t205)) % 0.71/1.02 (define @t207 () (or @t13 @t136 @t135 @t47 @t206)) % 0.71/1.02 (define @t208 () (or @t47 @t206)) % 0.71/1.02 (define @t209 () (or @t47 @t205)) % 0.71/1.02 (define @t210 () (or @t153 @t204 @t47)) % 0.71/1.02 (define @t211 () (or @t159 @t136 @t135 @t153)) % 0.71/1.02 (define @t212 () (@list @t140 @t165)) % 0.71/1.02 (define @t213 () (tptp.m1_subset_1 @t192 @t193)) % 0.71/1.02 (define @t214 () (or @t176 @t175 @t173 @t171 @t213)) % 0.71/1.02 (define @t215 () (@list true false false false false)) % 0.71/1.02 (define @t216 () (tptp.v10_lattices @t141)) % 0.71/1.02 (define @t217 () (tptp.v3_struct_0 @t141)) % 0.71/1.02 (define @t218 () (not @t217)) % 0.71/1.02 (define @t219 () (and @t218 @t181 (tptp.v4_lattices @t141) (tptp.v5_lattices @t141) (tptp.v6_lattices @t141) (tptp.v7_lattices @t141) (tptp.v8_lattices @t141) (tptp.v9_lattices @t141) @t216)) % 0.71/1.02 (define @t220 () (or @t176 @t175 @t173 @t219)) % 0.71/1.02 (define @t221 () (@list true false false false)) % 0.71/1.02 (define @t222 () (tptp.v14_lattices @t141)) % 0.71/1.02 (define @t223 () (= @t172 @t222)) % 0.71/1.02 (define @t224 () (or @t176 @t175 @t173 @t223)) % 0.71/1.02 (define @t225 () (not @t222)) % 0.71/1.02 (define @t226 () (@list true false)) % 0.71/1.02 (define @t227 () (and @t218 @t181)) % 0.71/1.02 (define @t228 () (or @t176 @t173 @t227)) % 0.71/1.02 (define @t229 () (@list true false false)) % 0.71/1.02 (define @t230 () (tptp.k6_domain_1 @t193 @t192)) % 0.71/1.02 (define @t231 () (tptp.m1_filter_0 @t230 @t141)) % 0.71/1.02 (define @t232 () (not @t231)) % 0.71/1.02 (define @t233 () (not @t213)) % 0.71/1.02 (define @t234 () (not @t216)) % 0.71/1.02 (define @t235 () (or @t217 @t234 @t188 @t222 @t233 @t232)) % 0.71/1.02 (define @t236 () (@var "BOUND_VARIABLE_8356" $$unsorted)) % 0.71/1.02 (define @t237 () (= (tptp.m1_filter_0 @t236 @t1) (tptp.m1_filter_2 @t236 @t1))) % 0.71/1.02 (define @t238 () (or @t13 @t136 @t135 @t237)) % 0.71/1.02 (define @t239 () (forall (@list @t1 @t236) @t238)) % 0.71/1.02 (define @t240 () (@list @t236)) % 0.71/1.02 (define @t241 () (forall @t240 @t238)) % 0.71/1.02 (define @t242 () (forall @t240 @t237)) % 0.71/1.02 (define @t243 () (or @t13 @t136 @t135 @t242)) % 0.71/1.02 (define @t244 () (forall @t9 (= @t84 @t87))) % 0.71/1.02 (define @t245 () (or @t13 @t136 @t135 @t244)) % 0.71/1.02 (define @t246 () (tptp.m1_filter_0 @t167 @t141)) % 0.71/1.02 (define @t247 () (tptp.m1_filter_2 @t167 @t141)) % 0.71/1.02 (define @t248 () (or @t217 @t234 @t188 (= @t246 @t247))) % 0.71/1.02 (define @t249 () (= @t247 @t246)) % 0.71/1.02 (define @t250 () (or @t217 @t234 @t188 @t249)) % 0.71/1.02 (define @t251 () (@var "BOUND_VARIABLE_8397" $$unsorted)) % 0.71/1.02 (define @t252 () (= (tptp.m2_filter_2 @t251 @t1) (tptp.m1_filter_2 @t251 @t49))) % 0.71/1.02 (define @t253 () (or @t13 @t136 @t135 @t252)) % 0.71/1.02 (define @t254 () (@list @t251)) % 0.71/1.02 (define @t255 () (forall @t254 @t253)) % 0.71/1.02 (define @t256 () (forall @t254 @t252)) % 0.71/1.02 (define @t257 () (or @t13 @t136 @t135 @t256)) % 0.71/1.02 (define @t258 () (or @t13 @t136 @t135 @t127)) % 0.71/1.02 (define @t259 () (= @t168 @t247)) % 0.71/1.02 (define @t260 () (or @t176 @t175 @t173 @t259)) % 0.71/1.02 (define @t261 () (tptp.l1_lattices @t140)) % 0.71/1.02 (define @t262 () (and @t261 (tptp.l2_lattices @t140))) % 0.71/1.02 (define @t263 () (or @t173 @t262)) % 0.71/1.02 (define @t264 () (tptp.l1_struct_0 @t140)) % 0.71/1.02 (define @t265 () (not @t261)) % 0.71/1.02 (define @t266 () (or @t265 @t264)) % 0.71/1.02 (define @t267 () (tptp.v1_xboole_0 @t166)) % 0.71/1.02 (define @t268 () (not @t267)) % 0.71/1.02 (define @t269 () (not @t264)) % 0.71/1.02 (define @t270 () (or @t176 @t269 @t268)) % 0.71/1.02 (define @t271 () (= @t167 (tptp.k1_tarski @t165))) % 0.71/1.02 (define @t272 () (or @t267 @t171 @t271)) % 0.71/1.02 (define @t273 () (@list false true false)) % 0.71/1.02 (define @t274 () (@var "BOUND_VARIABLE_7937" $$unsorted)) % 0.71/1.02 (define @t275 () (= @t274 (tptp.k5_filter_2 @t1 @t274))) % 0.71/1.02 (define @t276 () (not (tptp.m1_subset_1 @t274 @t4))) % 0.71/1.02 (define @t277 () (or @t276 @t275)) % 0.71/1.02 (define @t278 () (or @t13 @t136 @t135 @t277)) % 0.71/1.02 (define @t279 () (forall (@list @t1 @t274) @t278)) % 0.71/1.02 (define @t280 () (@list @t274)) % 0.71/1.02 (define @t281 () (forall @t280 @t278)) % 0.71/1.02 (define @t282 () (forall @t280 @t277)) % 0.71/1.02 (define @t283 () (or @t13 @t136 @t135 @t282)) % 0.71/1.02 (define @t284 () (= @t3 @t50)) % 0.71/1.02 (define @t285 () (forall @t9 (or @t153 @t284))) % 0.71/1.02 (define @t286 () (or @t13 @t136 @t135 @t285)) % 0.71/1.02 (define @t287 () (= @t165 @t192)) % 0.71/1.02 (define @t288 () (or @t176 @t175 @t173 @t171 @t287)) % 0.71/1.02 (define @t289 () (tptp.k1_tarski @t192)) % 0.71/1.02 (define @t290 () (= @t230 @t289)) % 0.71/1.02 (define @t291 () (not @t290)) % 0.71/1.02 (define @t292 () (not @t246)) % 0.71/1.02 (define @t293 () (not @t271)) % 0.71/1.02 (define @t294 () (not @t287)) % 0.71/1.02 (define @t295 () (and @t246 @t271 @t287 @t290 @t232)) % 0.71/1.02 (define @t296 () (tptp.v1_xboole_0 @t193)) % 0.71/1.02 (define @t297 () (or @t296 @t233 @t290)) % 0.71/1.02 (define @t298 () (not @t296)) % 0.71/1.02 (define @t299 () (tptp.l1_struct_0 @t141)) % 0.71/1.02 (define @t300 () (not @t299)) % 0.71/1.02 (define @t301 () (or @t217 @t300 @t298)) % 0.71/1.02 (define @t302 () (not @t186)) % 0.71/1.02 (define @t303 () (or @t302 @t299)) % 0.71/1.02 (define @t304 () (not @t303)) % 0.71/1.02 (define @t305 () (forall @t17 (or (not @t76) @t75))) % 0.71/1.02 (assume @p1 @t19) % 0.71/1.02 (assume @p2 (forall @t17 (=> @t11 (=> @t22 (= @t1 (tptp.g3_lattices @t4 @t21 @t20)))))) % 0.71/1.02 (assume @p3 (forall @t24 (=> @t23 (not (tptp.r2_hidden @t3 @t1))))) % 0.71/1.02 (assume @p4 (forall @t17 (=> @t26 @t25))) % 0.71/1.02 (assume @p5 (forall @t17 (=> @t11 (=> @t34 @t33)))) % 0.71/1.02 (assume @p6 (forall @t17 (=> @t37 @t35))) % 0.71/1.02 (assume @p7 (forall @t41 (=> @t40 (tptp.v1_relat_1 @t38)))) % 0.71/1.02 (assume @p8 (forall @t17 (=> @t44 @t43))) % 0.71/1.02 (assume @p9 (forall @t17 (=> @t11 (=> @t33 @t34)))) % 0.71/1.02 (assume @p10 (forall @t17 (=> @t11 (=> @t48 @t46)))) % 0.71/1.02 (assume @p11 (forall @t17 (=> @t11 (=> @t46 @t48)))) % 0.71/1.02 (assume @p12 (forall @t17 (=> @t11 (= @t49 (tptp.g3_lattices @t4 @t20 @t21))))) % 0.71/1.02 (assume @p13 @t54) % 0.71/1.02 (assume @p14 (forall @t41 (=> @t64 (and @t56 (tptp.l3_lattices @t55))))) % 0.71/1.02 (assume @p15 @t67) % 0.71/1.02 (assume @p16 true) % 0.71/1.02 (assume @p17 @t70) % 0.71/1.02 (assume @p18 (forall @t24 (=> @t74 (tptp.m1_subset_1 @t72 @t71)))) % 0.71/1.02 (assume @p19 @t77) % 0.71/1.02 (assume @p20 (forall @t17 (=> @t78 @t75))) % 0.71/1.02 (assume @p21 @t80) % 0.71/1.02 (assume @p22 (forall @t17 (=> @t15 (forall @t9 (=> @t84 (and @t83 @t81)))))) % 0.71/1.02 (assume @p23 (forall @t17 (=> @t15 (forall @t9 (=> @t87 @t86))))) % 0.71/1.02 (assume @p24 (forall @t17 (=> @t15 (forall @t9 (=> @t88 @t86))))) % 0.71/1.02 (assume @p25 (forall @t17 (=> @t15 (forall @t9 (=> @t85 @t81))))) % 0.71/1.02 (assume @p26 (forall @t41 (=> @t89 @t40))) % 0.71/1.02 (assume @p27 (forall @t17 (=> @t76 (and @t92 @t91 (tptp.m2_relset_1 @t20 @t90 @t4))))) % 0.71/1.02 (assume @p28 (forall @t17 (=> @t78 (and @t94 @t93 (tptp.m2_relset_1 @t21 @t90 @t4))))) % 0.71/1.02 (assume @p29 (exists @t17 @t76)) % 0.71/1.02 (assume @p30 (exists @t17 @t75)) % 0.71/1.02 (assume @p31 (exists @t17 @t78)) % 0.71/1.02 (assume @p32 (exists @t17 @t11)) % 0.71/1.02 (assume @p33 (forall @t17 (=> @t15 (exists @t9 @t84)))) % 0.71/1.02 (assume @p34 (forall @t17 (=> @t15 (exists @t9 @t87)))) % 0.71/1.02 (assume @p35 (forall @t24 (exists @t96 @t95))) % 0.71/1.02 (assume @p36 (forall @t17 (exists @t9 @t73))) % 0.71/1.02 (assume @p37 (forall @t17 (=> @t15 (exists @t9 @t88)))) % 0.71/1.02 (assume @p38 (forall @t17 (=> @t15 (exists @t9 @t85)))) % 0.71/1.02 (assume @p39 (forall @t24 (exists @t96 @t89))) % 0.71/1.02 (assume @p40 @t100) % 0.71/1.02 (assume @p41 @t103) % 0.71/1.02 (assume @p42 (forall @t17 (not (tptp.v1_xboole_0 @t71)))) % 0.71/1.02 (assume @p43 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 0.71/1.02 (assume @p44 (forall @t17 (=> (and @t14 @t32 @t78) (and @t105 @t94 @t93 (tptp.v1_binop_1 @t21 @t4) @t104)))) % 0.71/1.02 (assume @p45 (forall @t17 @t107)) % 0.71/1.02 (assume @p46 (forall @t17 (=> (and @t14 @t31 @t78) (and @t105 @t94 @t93 (tptp.v2_binop_1 @t21 @t4) @t104)))) % 0.71/1.02 (assume @p47 (forall @t41 (=> (and @t35 @t63 @t62 @t61 @t60 @t59 @t58) (and (not (tptp.v3_struct_0 @t55)) @t56)))) % 0.71/1.02 (assume @p48 (forall @t17 (and @t107 (tptp.v1_finset_1 @t106) (tptp.v1_realset1 @t106)))) % 0.71/1.02 (assume @p49 (forall @t17 (=> (and @t14 @t30 @t76) (and @t109 @t92 @t91 (tptp.v1_binop_1 @t20 @t4) @t108)))) % 0.71/1.02 (assume @p50 (forall @t24 (=> (and @t35 @t83) (not (tptp.v1_xboole_0 @t39))))) % 0.71/1.02 (assume @p51 (forall @t17 (=> (and @t14 @t29 @t76) (and @t109 @t92 @t91 (tptp.v2_binop_1 @t20 @t4) @t108)))) % 0.71/1.02 (assume @p52 @t111) % 0.71/1.02 (assume @p53 (forall @t41 (=> @t64 (forall (@list @t114 @t113 @t112) (=> (= @t55 (tptp.g3_lattices @t114 @t113 @t112)) (and (= @t1 @t114) (= @t3 @t113) (= @t38 @t112))))))) % 0.71/1.02 (assume @p54 (exists @t17 (and @t11 @t14 @t22 @t32 @t31 @t30 @t29 @t28 @t27 @t12 @t2 @t47 @t45))) % 0.71/1.02 (assume @p55 (exists @t17 (and @t42 @t25))) % 0.71/1.02 (assume @p56 (forall @t17 (=> @t15 (exists @t9 (and @t85 @t83))))) % 0.71/1.02 (assume @p57 (exists @t17 (and @t35 @t36))) % 0.71/1.02 (assume @p58 (forall @t17 (=> @t35 (exists @t9 (and @t115 @t83))))) % 0.71/1.02 (assume @p59 (exists @t17 @t26)) % 0.71/1.02 (assume @p60 (exists @t17 @t44)) % 0.71/1.02 (assume @p61 (exists @t17 (and @t35 @t37))) % 0.71/1.02 (assume @p62 (forall @t17 (exists @t9 (and @t115 @t82)))) % 0.71/1.02 (assume @p63 (exists @t17 @t35)) % 0.71/1.02 (assume @p64 (exists @t17 @t43)) % 0.71/1.02 (assume @p65 (exists @t17 (and @t11 @t22))) % 0.71/1.02 (assume @p66 (exists @t17 (and @t75 @t14))) % 0.71/1.02 (assume @p67 (forall @t17 (=> @t102 (exists @t9 (and @t81 @t83))))) % 0.71/1.02 (assume @p68 (exists @t17 (and @t11 @t14 @t22))) % 0.71/1.02 (assume @p69 (exists @t17 (and @t11 @t14 @t22 @t32 @t31 @t30 @t29 @t28 @t27 @t12))) % 0.71/1.02 (assume @p70 @t117) % 0.71/1.02 (assume @p71 @t120) % 0.71/1.02 (assume @p72 (forall @t41 (= @t89 @t95))) % 0.71/1.02 (assume @p73 (forall @t24 (tptp.r1_tarski @t1 @t1))) % 0.71/1.02 (assume @p74 @t125) % 0.71/1.02 (assume @p75 (forall @t24 (=> @t23 @t126))) % 0.71/1.02 (assume @p76 @t128) % 0.71/1.02 (assume @p77 (forall @t24 (=> @t126 (or @t82 @t23)))) % 0.71/1.02 (assume @p78 (forall @t24 (= (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t3)) (tptp.r1_tarski @t1 @t3)))) % 0.71/1.02 (assume @p79 (forall @t41 (=> (and @t23 @t129) (tptp.m1_subset_1 @t1 @t38)))) % 0.71/1.02 (assume @p80 (forall @t41 (not (and @t23 @t129 (tptp.v1_xboole_0 @t38))))) % 0.71/1.02 (assume @p81 @t131) % 0.71/1.02 (assume @p82 (forall @t17 (=> @t26 (= @t1 tptp.k1_xboole_0)))) % 0.71/1.02 (assume @p83 (forall @t24 (not (and @t23 @t82)))) % 0.71/1.02 (assume @p84 (forall @t24 (not (and @t26 (not (= @t1 @t3)) @t82)))) % 0.71/1.02 (step @p85 :rule bool-impl-elim :args (@t76 @t75)) % 0.71/1.02 (step @p86 :rule cong :premises (@p85) :args (@t77)) % 0.71/1.02 (step @p87 :rule eq_resolve :premises (@p19 @p86)) % 0.71/1.02 (step @p88 :rule bool-impl-elim :args (@t11 @t79)) % 0.71/1.02 (step @p89 :rule cong :premises (@p88) :args (@t80)) % 0.71/1.02 (step @p90 :rule eq_resolve :premises (@p21 @p89)) % 0.71/1.02 (step @p91 :rule instantiate :premises (@p90) :args (@t142)) % 0.71/1.02 (step @p92 :rule bool-impl-elim :args (@t11 @t66)) % 0.71/1.02 (step @p93 :rule cong :premises (@p92) :args (@t67)) % 0.71/1.02 (step @p94 :rule eq_resolve :premises (@p15 @p93)) % 0.71/1.02 (step @p95 :rule instantiate :premises (@p94) :args (@t143)) % 0.71/1.02 (step @p96 :rule aci_norm :args ((= @t145 @t137))) % 0.71/1.02 (step @p97 :rule cong :premises (@p96) :args (@t146)) % 0.71/1.02 (step @p98 :rule quant-merge-prenex :args ((= (forall @t17 @t148) @t146))) % 0.71/1.02 (step @p99 :rule alpha_equiv :args (@t149 (@list @t132) @t150)) % 0.71/1.02 (step @p100 :rule refl :args (@t2)) % 0.71/1.02 (step @p101 :rule refl :args (@t135)) % 0.71/1.02 (step @p102 :rule refl :args (@t136)) % 0.71/1.02 (step @p103 :rule refl :args (@t13)) % 0.71/1.02 (step @p104 :rule nary_cong :premises (@p103 @p102 @p101 @p100 @p99) :args (@t151)) % 0.71/1.02 (step @p105 :rule quant-miniscope-or :args ((= @t148 @t151))) % 0.71/1.02 (step @p106 :rule trans :premises (@p105 @p104)) % 0.71/1.02 (step @p107 :rule symm :premises (@p106)) % 0.71/1.02 (step @p108 :rule cong :premises (@p107) :args ((forall @t17 @t156))) % 0.71/1.02 (step @p109 :rule trans :premises (@p108 @p98)) % 0.71/1.02 (step @p110 :rule trans :premises (@p109 @p97)) % 0.71/1.02 (step @p111 :rule aci_norm :args ((= (or @t158 @t157) @t156))) % 0.71/1.02 (step @p112 :rule refl :args (@t157)) % 0.71/1.02 (step @p113 :rule bool-double-not-elim :args (@t13)) % 0.71/1.02 (step @p114 :rule nary_cong :premises (@p113 @p102 @p101) :args (@t160)) % 0.71/1.02 (step @p115 :rule aci_norm :args ((= (or @t159 (or @t136 @t135)) @t160))) % 0.71/1.02 (step @p116 :rule trans :premises (@p115 @p114)) % 0.71/1.02 (step @p117 :rule bool-and-de-morgan :args (@t12 @t11 true)) % 0.71/1.02 (step @p118 :rule refl :args (@t159)) % 0.71/1.02 (step @p119 :rule nary_cong :premises (@p118 @p117) :args ((or @t159 (not (and @t12 @t11))))) % 0.71/1.02 (step @p120 :rule bool-and-de-morgan :args (@t14 @t12 (and @t11))) % 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aci_norm :args ((= (or @t158 @t244) @t245))) % 0.71/1.02 (step @p331 :rule refl :args (@t244)) % 0.71/1.02 (step @p332 :rule nary_cong :premises (@p122 @p331) :args ((or @t161 @t244))) % 0.71/1.02 (step @p333 :rule trans :premises (@p332 @p330)) % 0.71/1.02 (step @p334 :rule bool-impl-elim :args (@t15 @t244)) % 0.71/1.02 (step @p335 :rule trans :premises (@p334 @p333)) % 0.71/1.02 (step @p336 :rule cong :premises (@p335) :args ((forall @t17 (=> @t15 @t244)))) % 0.71/1.02 (step @p337 :rule trans :premises (@p336 @p329)) % 0.71/1.02 (step @p338 :rule eq-symm :args (@t87 @t84)) % 0.71/1.02 (step @p339 :rule cong :premises (@p338) :args (@t118)) % 0.71/1.02 (step @p340 :rule cong :premises (@p142 @p339) :args (@t119)) % 0.71/1.02 (step @p341 :rule cong :premises (@p340) :args (@t120)) % 0.71/1.02 (step @p342 :rule trans :premises (@p341 @p337)) % 0.71/1.02 (step @p343 :rule eq_resolve :premises (@p71 @p342)) % 0.71/1.02 (step @p344 :rule eq-symm :args (@t246 @t247)) % 0.71/1.02 (step @p345 :rule refl :args (@t188)) % 0.71/1.02 (step @p346 :rule refl :args (@t234)) % 0.71/1.02 (step @p347 :rule refl :args (@t217)) % 0.71/1.02 (step @p348 :rule nary_cong :premises (@p347 @p346 @p345 @p344) :args (@t248)) % 0.71/1.02 (step @p349 :rule refl :args (@t239)) % 0.71/1.02 (step @p350 :rule cong :premises (@p349 @p348) :args ((=> @t239 @t248))) % 0.71/1.02 (assume-push @p509 @t239) % 0.71/1.02 (step @p352 :rule instantiate :premises (@p343) :args ((@list @t141 @t167))) % 0.71/1.02 (step-pop @p510 :rule scope :premises (@p352)) % 0.71/1.02 (step @p353 :rule process_scope :premises (@p510) :args (@t248)) % 0.71/1.02 (step @p355 :rule eq_resolve :premises (@p353 @p350)) % 0.71/1.02 (step @p356 :rule implies_elim :premises (@p355)) % 0.71/1.02 (step @p357 :rule chain_m_resolution :premises (@p356 @p343) :args (@t250 @t185 (@list @t239))) % 0.71/1.02 (step @p358 :rule cnf_or_pos :args (@t250)) % 0.71/1.02 (step @p359 :rule reordering :premises (@p358) :args ((or @t217 @t234 @t188 @t249 (not @t250)))) % 0.71/1.02 (step @p360 :rule chain_m_resolution :premises (@p359 @p318 @p283 @p161 @p357) :args (@t249 @t221 (@list @t217 @t216 @t180 @t250))) % 0.71/1.02 (step @p361 :rule quant-merge-prenex :args ((= (forall @t17 @t255) (forall (@list @t1 @t251) @t253)))) % 0.71/1.02 (step @p362 :rule alpha_equiv :args (@t256 (@list @t251) @t150)) % 0.71/1.02 (step @p363 :rule nary_cong :premises (@p103 @p102 @p101 @p362) :args (@t257)) % 0.71/1.02 (step @p364 :rule quant-miniscope-or :args ((= @t255 @t257))) % 0.71/1.02 (step @p365 :rule trans :premises (@p364 @p363)) % 0.71/1.02 (step @p366 :rule symm :premises (@p365)) % 0.71/1.02 (step @p367 :rule cong :premises (@p366) :args ((forall @t17 @t258))) % 0.71/1.02 (step @p368 :rule trans :premises (@p367 @p361)) % 0.71/1.02 (step @p369 :rule aci_norm :args ((= (or @t158 @t127) @t258))) % 0.71/1.02 (step @p370 :rule refl :args (@t127)) % 0.71/1.02 (step @p371 :rule nary_cong :premises (@p122 @p370) :args ((or @t161 @t127))) % 0.71/1.02 (step @p372 :rule trans :premises (@p371 @p369)) % 0.71/1.02 (step @p373 :rule bool-impl-elim :args (@t15 @t127)) % 0.71/1.02 (step @p374 :rule trans :premises (@p373 @p372)) % 0.71/1.02 (step @p375 :rule cong :premises (@p374) :args (@t128)) % 0.71/1.02 (step @p376 :rule trans :premises (@p375 @p368)) % 0.71/1.02 (step @p377 :rule eq_resolve :premises (@p76 @p376)) % 0.71/1.02 (step @p378 :rule instantiate :premises (@p377) :args ((@list @t140 @t167))) % 0.71/1.02 (step @p379 :rule cnf_or_pos :args (@t260)) % 0.71/1.02 (step @p380 :rule reordering :premises (@p379) :args ((or @t176 @t175 @t173 @t259 (not @t260)))) % 0.71/1.02 (step @p381 :rule chain_m_resolution :premises (@p380 @p265 @p263 @p155 @p378) :args (@t259 @t221 (@list @t176 @t174 @t164 @t260))) % 0.71/1.02 (step @p382 :rule bool-double-not-elim :args (@t168)) % 0.71/1.02 (step @p383 :rule nary_cong :premises (@p150 @p382) :args ((or @t177 (not @t169)))) % 0.71/1.02 (step @p384 :rule cnf_or_neg :args (@t177 5)) % 0.71/1.02 (step @p385 :rule eq_resolve :premises (@p384 @p383)) % 0.71/1.02 (step @p386 :rule reordering :premises (@p385) :args ((or @t168 @t177))) % 0.71/1.02 (step @p387 :rule chain_m_resolution :premises (@p386 @p148) :args (@t168 @t178 @t179)) % 0.71/1.02 (step @p388 :rule cnf_equiv_pos1 :args (@t259)) % 0.71/1.02 (step @p389 :rule reordering :premises (@p388) :args ((or @t169 @t247 (not @t259)))) % 0.71/1.02 (step @p390 :rule chain_m_resolution :premises (@p389 @p387 @p381) :args (@t247 @t184 (@list @t168 @t259))) % 0.71/1.02 (step @p391 :rule cnf_equiv_pos1 :args (@t249)) % 0.71/1.02 (step @p392 :rule reordering :premises (@p391) :args ((or (not @t247) @t246 (not @t249)))) % 0.71/1.02 (step @p393 :rule chain_m_resolution :premises (@p392 @p390 @p360) :args (@t246 @t184 (@list @t247 @t249))) % 0.71/1.02 (step @p394 :rule instantiate :premises (@p193) :args ((@list @t166 @t165))) % 0.71/1.02 (step @p395 :rule instantiate :premises (@p179) :args (@t143)) % 0.71/1.02 (step @p396 :rule instantiate :premises (@p87) :args (@t143)) % 0.71/1.02 (step @p397 :rule instantiate :premises (@p90) :args (@t143)) % 0.71/1.02 (step @p398 :rule cnf_or_pos :args (@t263)) % 0.71/1.02 (step @p399 :rule reordering :premises (@p398) :args ((or @t173 @t262 (not @t263)))) % 0.71/1.02 (step @p400 :rule chain_m_resolution :premises (@p399 @p155 @p397) :args (@t262 @t184 (@list @t164 @t263))) % 0.71/1.02 (step @p401 :rule cnf_and_pos :args (@t262 0)) % 0.71/1.02 (step @p402 :rule reordering :premises (@p401) :args ((or @t261 (not @t262)))) % 0.71/1.02 (step @p403 :rule chain_m_resolution :premises (@p402 @p400) :args (@t261 @t185 (@list @t262))) % 0.71/1.02 (step @p404 :rule cnf_or_pos :args (@t266)) % 0.71/1.02 (step @p405 :rule reordering :premises (@p404) :args ((or @t265 @t264 (not @t266)))) % 0.71/1.02 (step @p406 :rule chain_m_resolution :premises (@p405 @p403 @p396) :args (@t264 @t184 (@list @t261 @t266))) % 0.71/1.02 (step @p407 :rule cnf_or_pos :args (@t270)) % 0.71/1.02 (step @p408 :rule reordering :premises (@p407) :args ((or @t176 @t269 @t268 (not @t270)))) % 0.71/1.02 (step @p409 :rule chain_m_resolution :premises (@p408 @p265 @p406 @p395) :args (@t268 @t229 (@list @t176 @t264 @t270))) % 0.71/1.02 (step @p410 :rule cnf_or_pos :args (@t272)) % 0.71/1.02 (step @p411 :rule reordering :premises (@p410) :args ((or @t171 @t267 @t271 (not @t272)))) % 0.71/1.02 (step @p412 :rule chain_m_resolution :premises (@p411 @p257 @p409 @p394) :args (@t271 @t273 (@list @t170 @t267 @t272))) % 0.71/1.02 (step @p413 :rule aci_norm :args ((= @t278 (or @t13 @t136 @t135 @t276 @t275)))) % 0.71/1.02 (step @p414 :rule cong :premises (@p413) :args (@t279)) % 0.71/1.02 (step @p415 :rule quant-merge-prenex :args ((= (forall @t17 @t281) @t279))) % 0.71/1.02 (step @p416 :rule alpha_equiv :args (@t282 (@list @t274) @t150)) % 0.71/1.02 (step @p417 :rule nary_cong :premises (@p103 @p102 @p101 @p416) :args (@t283)) % 0.71/1.02 (step @p418 :rule quant-miniscope-or :args ((= @t281 @t283))) % 0.71/1.02 (step @p419 :rule trans :premises (@p418 @p417)) % 0.71/1.02 (step @p420 :rule symm :premises (@p419)) % 0.71/1.02 (step @p421 :rule cong :premises (@p420) :args ((forall @t17 @t286))) % 0.71/1.02 (step @p422 :rule trans :premises (@p421 @p415)) % 0.71/1.02 (step @p423 :rule trans :premises (@p422 @p414)) % 0.71/1.02 (step @p424 :rule aci_norm :args ((= (or @t158 @t285) @t286))) % 0.71/1.02 (step @p425 :rule refl :args (@t285)) % 0.71/1.02 (step @p426 :rule nary_cong :premises (@p122 @p425) :args ((or @t161 @t285))) % 0.71/1.02 (step @p427 :rule trans :premises (@p426 @p424)) % 0.71/1.02 (step @p428 :rule bool-impl-elim :args (@t15 @t285)) % 0.71/1.02 (step @p429 :rule trans :premises (@p428 @p427)) % 0.71/1.02 (step @p430 :rule cong :premises (@p429) :args ((forall @t17 (=> @t15 @t285)))) % 0.71/1.02 (step @p431 :rule trans :premises (@p430 @p423)) % 0.71/1.02 (step @p432 :rule bool-impl-elim :args (@t8 @t284)) % 0.71/1.02 (step @p433 :rule cong :premises (@p432) :args ((forall @t9 (=> @t8 @t284)))) % 0.71/1.02 (step @p434 :rule eq-symm :args (@t50 @t3)) % 0.71/1.02 (step @p435 :rule refl :args (@t8)) % 0.71/1.02 (step @p436 :rule cong :premises (@p435 @p434) :args (@t51)) % 0.71/1.02 (step @p437 :rule cong :premises (@p436) :args (@t52)) % 0.71/1.02 (step @p438 :rule trans :premises (@p437 @p433)) % 0.71/1.02 (step @p439 :rule cong :premises (@p142 @p438) :args (@t53)) % 0.71/1.02 (step @p440 :rule cong :premises (@p439) :args (@t54)) % 0.71/1.02 (step @p441 :rule trans :premises (@p440 @p431)) % 0.71/1.02 (step @p442 :rule eq_resolve :premises (@p13 @p441)) % 0.71/1.02 (step @p443 :rule instantiate :premises (@p442) :args (@t212)) % 0.71/1.02 (step @p444 :rule cnf_or_pos :args (@t288)) % 0.71/1.02 (step @p445 :rule reordering :premises (@p444) :args ((or @t176 @t175 @t173 @t171 @t287 (not @t288)))) % 0.71/1.02 (step @p446 :rule chain_m_resolution :premises (@p445 @p265 @p263 @p155 @p257 @p443) :args (@t287 @t215 (@list @t176 @t174 @t164 @t170 @t288))) % 0.71/1.02 (step @p447 :rule bool-double-not-elim :args (@t231)) % 0.71/1.02 (step @p448 :rule refl :args (@t291)) % 0.71/1.02 (step @p449 :rule refl :args (@t292)) % 0.71/1.02 (step @p450 :rule refl :args (@t293)) % 0.71/1.02 (step @p451 :rule refl :args (@t294)) % 0.71/1.02 (step @p452 :rule nary_cong :premises (@p451 @p450 @p449 @p448 @p447) :args ((or @t294 @t293 @t292 @t291 (not @t232)))) % 0.71/1.02 (assume-push @p511 @t246) % 0.71/1.02 (assume-push @p512 @t271) % 0.71/1.02 (assume-push @p513 @t287) % 0.71/1.02 (assume-push @p514 @t290) % 0.71/1.02 (assume-push @p515 @t232) % 0.71/1.02 (step @p458 :rule evaluate :args ((= false true))) % 0.71/1.02 (step @p459 :rule true_intro :premises (@p393)) % 0.71/1.02 (step @p460 :rule refl :args (@t141)) % 0.71/1.02 (step @p461 :rule symm :premises (@p412)) % 0.71/1.02 (step @p462 :rule symm :premises (@p446)) % 0.71/1.02 (step @p463 :rule cong :premises (@p462) :args (@t289)) % 0.71/1.02 (step @p464 :rule trans :premises (@p514 @p463 @p461)) % 0.71/1.02 (step @p465 :rule cong :premises (@p464 @p460) :args (@t231)) % 0.71/1.02 (step @p466 :rule false_intro :premises (@p321)) % 0.71/1.02 (step @p467 :rule symm :premises (@p466)) % 0.71/1.02 (step @p468 :rule trans :premises (@p467 @p465 @p459)) % 0.71/1.02 (step @p469 false :rule eq_resolve :premises (@p468 @p458)) % 0.71/1.02 (step-pop @p516 :rule scope :premises (@p469)) % 0.71/1.02 (step-pop @p517 :rule scope :premises (@p516)) % 0.71/1.02 (step-pop @p518 :rule scope :premises (@p517)) % 0.71/1.02 (step-pop @p519 :rule scope :premises (@p518)) % 0.71/1.02 (step-pop @p520 :rule scope :premises (@p519)) % 0.71/1.02 (step @p470 :rule process_scope :premises (@p520) :args (false)) % 0.71/1.02 (assume-push @p521 @t287) % 0.71/1.02 (assume-push @p522 @t271) % 0.71/1.03 (assume-push @p523 @t246) % 0.71/1.03 (assume-push @p524 @t290) % 0.71/1.03 (assume-push @p525 @t232) % 0.71/1.03 (step @p481 :rule and_intro :premises (@p393 @p412 @p446 @p524 @p321)) % 0.71/1.03 (step-pop @p526 :rule scope :premises (@p481)) % 0.71/1.03 (step-pop @p527 :rule scope :premises (@p526)) % 0.71/1.03 (step-pop @p528 :rule scope :premises (@p527)) % 0.71/1.03 (step-pop @p529 :rule scope :premises (@p528)) % 0.71/1.03 (step-pop @p530 :rule scope :premises (@p529)) % 0.71/1.03 (step @p482 :rule process_scope :premises (@p530) :args (@t295)) % 0.71/1.03 (step @p488 :rule implies_elim :premises (@p482)) % 0.71/1.03 (step @p489 :rule resolution :premises (@p488 @p470) :args (true @t295)) % 0.71/1.03 (step @p490 :rule not_and :premises (@p489)) % 0.71/1.03 (step @p491 :rule eq_resolve :premises (@p490 @p452)) % 0.71/1.03 (step @p492 :rule reordering :premises (@p491) :args ((or @t294 @t293 @t292 @t231 @t291))) % 0.71/1.03 (step @p493 :rule chain_m_resolution :premises (@p492 @p446 @p412 @p393 @p321) :args (@t291 (@list false false false true) (@list @t287 @t271 @t246 @t231))) % 0.71/1.03 (step @p494 :rule cnf_or_pos :args (@t297)) % 0.71/1.03 (step @p495 :rule reordering :premises (@p494) :args ((or @t296 @t233 @t290 (not @t297)))) % 0.71/1.03 (step @p496 :rule chain_m_resolution :premises (@p495 @p268 @p493 @p194) :args (@t296 @t273 (@list @t213 @t290 @t297))) % 0.71/1.03 (step @p497 :rule cnf_or_pos :args (@t301)) % 0.71/1.03 (step @p498 :rule reordering :premises (@p497) :args ((or @t217 @t300 @t298 (not @t301)))) % 0.71/1.03 (step @p499 :rule chain_m_resolution :premises (@p498 @p318 @p496 @p180) :args (@t300 @t229 (@list @t217 @t296 @t301))) % 0.71/1.03 (step @p500 :rule cnf_or_pos :args (@t303)) % 0.71/1.03 (step @p501 :rule reordering :premises (@p500) :args ((or @t299 @t302 @t304))) % 0.71/1.03 (step @p502 :rule chain_m_resolution :premises (@p501 @p499 @p167) :args (@t304 @t226 (@list @t299 @t186))) % 0.71/1.03 (assume-push @p531 @t305) % 0.71/1.03 (step @p504 :rule instantiate :premises (@p87) :args (@t142)) % 0.71/1.03 (step-pop @p532 :rule scope :premises (@p504)) % 0.71/1.03 (step @p505 :rule process_scope :premises (@p532) :args (@t303)) % 0.71/1.03 (step @p507 :rule implies_elim :premises (@p505)) % 0.71/1.03 (step @p508 false :rule chain_m_resolution :premises (@p507 @p502 @p87) :args (false @t226 (@list @t303 @t305))) % 0.71/1.03 ) % 0.71/1.03 % SZS output end Proof % 0.71/1.03 % cvc5 exiting %------------------------------------------------------------------------------