%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT291+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 : n021.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 08:30:08 AM UTC 2026 % Result : Theorem 0.53s 0.74s % Output : Proof 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT291+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 % 0.16/0.34 % Computer : n021.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 06:13:35 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.53/0.74 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.53/0.74 % SZS status Theorem % 0.53/0.74 % SZS output start Proof % 0.53/0.74 ( % 0.53/0.74 (declare-sort $$unsorted 0) % 0.53/0.74 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.v14_lattices (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.m1_filter_0 (-> $$unsorted $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.v1_finset_1 (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.v4_lattices (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.k5_lattices (-> $$unsorted $$unsorted)) % 0.53/0.74 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.k8_lopclset (-> $$unsorted $$unsorted)) % 0.53/0.74 (declare-const tptp.v3_realset2 (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.k7_lopclset (-> $$unsorted $$unsorted)) % 0.53/0.74 (declare-const tptp.v4_ordinal2 (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.k6_lattices (-> $$unsorted $$unsorted)) % 0.53/0.74 (declare-const tptp.l3_lattices (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.k4_xboole_0 (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.74 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.53/0.74 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 0.53/0.74 (declare-const tptp.v16_lattices (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.k8_funct_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.53/0.74 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.v3_finsub_1 (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.v8_lattices (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.k7_lattices (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.74 (declare-const tptp.v17_lattices (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.v4_finsub_1 (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.v10_lattices (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.k9_lopclset (-> $$unsorted $$unsorted)) % 0.53/0.74 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.v11_lattices (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.v13_lattices (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.v1_finsub_1 (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.a_1_1_lopclset (-> $$unsorted $$unsorted)) % 0.53/0.74 (declare-const tptp.v9_lattices (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.v7_lattices (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.v6_lattices (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.v5_lattices (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.74 (declare-const tptp.v15_lattices (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.v12_lattices (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.l1_lattices (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.l2_lattices (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.53/0.74 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.k1_funct_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.74 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.v1_filter_0 (-> $$unsorted $$unsorted Bool)) % 0.53/0.74 (define @t1 () (@var "A" $$unsorted)) % 0.53/0.74 (define @t2 () (tptp.k7_lopclset @t1)) % 0.53/0.74 (define @t3 () (tptp.k6_lattices @t1)) % 0.53/0.74 (define @t4 () (tptp.k9_lopclset @t1)) % 0.53/0.74 (define @t5 () (tptp.k1_zfmisc_1 @t2)) % 0.53/0.74 (define @t6 () (tptp.u1_struct_0 @t1)) % 0.53/0.74 (define @t7 () (tptp.k8_funct_2 @t6 @t5 @t4 @t3)) % 0.53/0.74 (define @t8 () (tptp.l3_lattices @t1)) % 0.53/0.74 (define @t9 () (tptp.v3_realset2 @t1)) % 0.53/0.74 (define @t10 () (not @t9)) % 0.53/0.74 (define @t11 () (tptp.v17_lattices @t1)) % 0.53/0.74 (define @t12 () (tptp.v10_lattices @t1)) % 0.53/0.74 (define @t13 () (tptp.v3_struct_0 @t1)) % 0.53/0.74 (define @t14 () (not @t13)) % 0.53/0.74 (define @t15 () (and @t14 @t12 @t11 @t10 @t8)) % 0.53/0.74 (define @t16 () (=> @t15 (= @t7 @t2))) % 0.53/0.74 (define @t17 () (@list @t1)) % 0.53/0.74 (define @t18 () (forall @t17 @t16)) % 0.53/0.74 (define @t19 () (not @t18)) % 0.53/0.74 (define @t20 () (@var "B" $$unsorted)) % 0.53/0.74 (define @t21 () (tptp.r2_hidden @t1 @t20)) % 0.53/0.74 (define @t22 () (@list @t1 @t20)) % 0.53/0.74 (define @t23 () (tptp.v1_xcmplx_0 @t20)) % 0.53/0.74 (define @t24 () (tptp.m1_subset_1 @t20 @t1)) % 0.53/0.74 (define @t25 () (@list @t20)) % 0.53/0.74 (define @t26 () (tptp.v1_membered @t1)) % 0.53/0.74 (define @t27 () (tptp.v1_xreal_0 @t20)) % 0.53/0.74 (define @t28 () (tptp.v2_membered @t1)) % 0.53/0.74 (define @t29 () (tptp.v1_rat_1 @t20)) % 0.53/0.74 (define @t30 () (tptp.v3_membered @t1)) % 0.53/0.74 (define @t31 () (tptp.v1_int_1 @t20)) % 0.53/0.74 (define @t32 () (tptp.v4_membered @t1)) % 0.53/0.74 (define @t33 () (tptp.v5_membered @t1)) % 0.53/0.74 (define @t34 () (tptp.v1_xboole_0 @t1)) % 0.53/0.74 (define @t35 () (tptp.v1_membered @t20)) % 0.53/0.74 (define @t36 () (tptp.k1_zfmisc_1 @t1)) % 0.53/0.74 (define @t37 () (tptp.m1_subset_1 @t20 @t36)) % 0.53/0.74 (define @t38 () (tptp.v2_membered @t20)) % 0.53/0.74 (define @t39 () (tptp.v3_membered @t20)) % 0.53/0.74 (define @t40 () (tptp.v4_membered @t20)) % 0.53/0.74 (define @t41 () (tptp.v1_finset_1 @t1)) % 0.53/0.74 (define @t42 () (and (tptp.v1_finsub_1 @t1) (tptp.v3_finsub_1 @t1))) % 0.53/0.74 (define @t43 () (tptp.v4_finsub_1 @t1)) % 0.53/0.74 (define @t44 () (@var "C" $$unsorted)) % 0.53/0.74 (define @t45 () (tptp.v1_funct_2 @t44 @t1 @t20)) % 0.53/0.74 (define @t46 () (tptp.v1_funct_1 @t44)) % 0.53/0.74 (define @t47 () (and @t46 @t45)) % 0.53/0.74 (define @t48 () (tptp.v1_partfun1 @t44 @t1 @t20)) % 0.53/0.74 (define @t49 () (tptp.m1_relset_1 @t44 @t1 @t20)) % 0.53/0.74 (define @t50 () (@list @t1 @t20 @t44)) % 0.53/0.74 (define @t51 () (tptp.v9_lattices @t1)) % 0.53/0.74 (define @t52 () (tptp.v8_lattices @t1)) % 0.53/0.74 (define @t53 () (tptp.v7_lattices @t1)) % 0.53/0.74 (define @t54 () (tptp.v6_lattices @t1)) % 0.53/0.74 (define @t55 () (tptp.v5_lattices @t1)) % 0.53/0.74 (define @t56 () (tptp.v4_lattices @t1)) % 0.53/0.74 (define @t57 () (and @t14 @t56 @t55 @t54 @t53 @t52 @t51)) % 0.53/0.74 (define @t58 () (and @t14 @t12)) % 0.53/0.74 (define @t59 () (tptp.v1_relat_1 @t44)) % 0.53/0.74 (define @t60 () (tptp.k2_zfmisc_1 @t1 @t20)) % 0.53/0.74 (define @t61 () (tptp.m1_subset_1 @t44 (tptp.k1_zfmisc_1 @t60))) % 0.53/0.74 (define @t62 () (tptp.v1_finset_1 @t20)) % 0.53/0.74 (define @t63 () (tptp.v15_lattices @t1)) % 0.53/0.74 (define @t64 () (and @t14 @t63)) % 0.53/0.74 (define @t65 () (tptp.v14_lattices @t1)) % 0.53/0.74 (define @t66 () (tptp.v13_lattices @t1)) % 0.53/0.74 (define @t67 () (and @t14 @t66 @t65)) % 0.53/0.74 (define @t68 () (@list @t44)) % 0.53/0.74 (define @t69 () (tptp.v1_xboole_0 @t20)) % 0.53/0.74 (define @t70 () (not @t69)) % 0.53/0.74 (define @t71 () (tptp.v16_lattices @t1)) % 0.53/0.74 (define @t72 () (tptp.v11_lattices @t1)) % 0.53/0.74 (define @t73 () (and @t14 @t11)) % 0.53/0.74 (define @t74 () (tptp.v1_xboole_0 @t44)) % 0.53/0.74 (define @t75 () (not @t34)) % 0.53/0.74 (define @t76 () (tptp.v12_lattices @t1)) % 0.53/0.74 (define @t77 () (tptp.k5_lattices @t1)) % 0.53/0.74 (define @t78 () (tptp.m1_subset_1 @t77 @t6)) % 0.53/0.74 (define @t79 () (tptp.l1_lattices @t1)) % 0.53/0.74 (define @t80 () (and @t14 @t79)) % 0.53/0.74 (define @t81 () (forall @t17 (=> @t80 @t78))) % 0.53/0.74 (define @t82 () (tptp.l2_lattices @t1)) % 0.53/0.74 (define @t83 () (tptp.k7_lattices @t1 @t20)) % 0.53/0.74 (define @t84 () (tptp.m1_subset_1 @t20 @t6)) % 0.53/0.74 (define @t85 () (tptp.k1_zfmisc_1 @t6)) % 0.53/0.74 (define @t86 () (@var "D" $$unsorted)) % 0.53/0.74 (define @t87 () (tptp.k8_funct_2 @t1 @t20 @t44 @t86)) % 0.53/0.74 (define @t88 () (and @t75 @t46 @t45 @t49 (tptp.m1_subset_1 @t86 @t1))) % 0.53/0.74 (define @t89 () (@list @t1 @t20 @t44 @t86)) % 0.53/0.74 (define @t90 () (tptp.k8_lopclset @t1)) % 0.53/0.74 (define @t91 () (tptp.l1_struct_0 @t1)) % 0.53/0.74 (define @t92 () (and @t79 @t82)) % 0.53/0.74 (define @t93 () (forall @t17 (=> @t8 @t92))) % 0.53/0.74 (define @t94 () (tptp.m1_subset_1 @t20 @t85)) % 0.53/0.74 (define @t95 () (tptp.m1_filter_0 @t20 @t1)) % 0.53/0.74 (define @t96 () (and @t14 @t12 @t8)) % 0.53/0.74 (define @t97 () (tptp.m2_relset_1 @t44 @t1 @t20)) % 0.53/0.74 (define @t98 () (tptp.k4_xboole_0 @t1 @t20)) % 0.53/0.74 (define @t99 () (and @t14 @t91)) % 0.53/0.74 (define @t100 () (tptp.v1_membered @t98)) % 0.53/0.74 (define @t101 () (tptp.v2_membered @t98)) % 0.53/0.74 (define @t102 () (tptp.v3_membered @t98)) % 0.53/0.74 (define @t103 () (tptp.v4_membered @t98)) % 0.53/0.74 (define @t104 () (tptp.m1_subset_1 @t1 @t20)) % 0.53/0.74 (define @t105 () (= (tptp.k4_xboole_0 @t2 (tptp.k8_funct_2 @t6 @t5 @t4 @t20)) (tptp.k8_funct_2 @t6 @t5 @t4 @t83))) % 0.53/0.74 (define @t106 () (forall @t25 (=> @t84 @t105))) % 0.53/0.74 (define @t107 () (=> @t15 @t106)) % 0.53/0.74 (define @t108 () (forall @t17 @t107)) % 0.53/0.74 (define @t109 () (= @t1 @t20)) % 0.53/0.74 (define @t110 () (tptp.k8_funct_2 @t6 @t5 @t4 @t77)) % 0.53/0.74 (define @t111 () (=> @t15 (= @t110 tptp.k1_xboole_0))) % 0.53/0.74 (define @t112 () (forall @t17 @t111)) % 0.53/0.74 (define @t113 () (tptp.k7_lattices @t1 @t77)) % 0.53/0.74 (define @t114 () (and @t14 @t12 @t11 @t8)) % 0.53/0.74 (define @t115 () (=> @t114 (= @t113 @t3))) % 0.53/0.74 (define @t116 () (forall @t17 @t115)) % 0.53/0.74 (define @t117 () (tptp.k4_xboole_0 @t1 tptp.k1_xboole_0)) % 0.53/0.74 (define @t118 () (forall @t17 (= @t117 @t1))) % 0.53/0.74 (define @t119 () (tptp.m1_subset_1 @t20 (tptp.k1_zfmisc_1 @t44))) % 0.53/0.74 (define @t120 () (= @t2 @t7)) % 0.53/0.74 (define @t121 () (not @t8)) % 0.53/0.74 (define @t122 () (not @t11)) % 0.53/0.74 (define @t123 () (not @t12)) % 0.53/0.74 (define @t124 () (or @t13 @t123 @t122 @t9 @t121 @t120)) % 0.53/0.74 (define @t125 () (or @t13 @t123 @t122 @t9 @t121)) % 0.53/0.74 (define @t126 () (not @t10)) % 0.53/0.74 (define @t127 () (not @t14)) % 0.53/0.74 (define @t128 () (or @t127 @t123 @t122 @t126 @t121)) % 0.53/0.74 (define @t129 () (not @t15)) % 0.53/0.74 (define @t130 () (@quantifiers_skolemize (forall @t17 @t124) 0)) % 0.53/0.74 (define @t131 () (tptp.k6_lattices @t130)) % 0.53/0.74 (define @t132 () (tptp.k9_lopclset @t130)) % 0.53/0.74 (define @t133 () (tptp.k7_lopclset @t130)) % 0.53/0.74 (define @t134 () (tptp.k1_zfmisc_1 @t133)) % 0.53/0.74 (define @t135 () (tptp.u1_struct_0 @t130)) % 0.53/0.74 (define @t136 () (= @t133 (tptp.k8_funct_2 @t135 @t134 @t132 @t131))) % 0.53/0.74 (define @t137 () (tptp.l3_lattices @t130)) % 0.53/0.74 (define @t138 () (not @t137)) % 0.53/0.74 (define @t139 () (tptp.v3_realset2 @t130)) % 0.53/0.74 (define @t140 () (tptp.v17_lattices @t130)) % 0.53/0.74 (define @t141 () (not @t140)) % 0.53/0.74 (define @t142 () (tptp.v10_lattices @t130)) % 0.53/0.74 (define @t143 () (not @t142)) % 0.53/0.74 (define @t144 () (tptp.v3_struct_0 @t130)) % 0.53/0.74 (define @t145 () (or @t144 @t143 @t141 @t139 @t138 @t136)) % 0.53/0.74 (define @t146 () (not @t136)) % 0.53/0.74 (define @t147 () (@list true)) % 0.53/0.74 (define @t148 () (@list @t145)) % 0.53/0.74 (define @t149 () (= tptp.k1_xboole_0 @t110)) % 0.53/0.74 (define @t150 () (@list @t130)) % 0.53/0.74 (define @t151 () (tptp.k5_lattices @t130)) % 0.53/0.74 (define @t152 () (tptp.k8_funct_2 @t135 @t134 @t132 @t151)) % 0.53/0.74 (define @t153 () (= tptp.k1_xboole_0 @t152)) % 0.53/0.74 (define @t154 () (or @t144 @t143 @t141 @t139 @t138 @t153)) % 0.53/0.74 (define @t155 () (= @t3 @t113)) % 0.53/0.74 (define @t156 () (or @t127 @t123 @t122 @t121)) % 0.53/0.74 (define @t157 () (tptp.k7_lattices @t130 @t151)) % 0.53/0.74 (define @t158 () (= @t131 @t157)) % 0.53/0.74 (define @t159 () (or @t144 @t143 @t141 @t138 @t158)) % 0.53/0.74 (define @t160 () (@var "BOUND_VARIABLE_8599" $$unsorted)) % 0.53/0.74 (define @t161 () (= (tptp.k4_xboole_0 @t2 (tptp.k8_funct_2 @t6 @t5 @t4 @t160)) (tptp.k8_funct_2 @t6 @t5 @t4 (tptp.k7_lattices @t1 @t160)))) % 0.53/0.74 (define @t162 () (not (tptp.m1_subset_1 @t160 @t6))) % 0.53/0.74 (define @t163 () (or @t162 @t161)) % 0.53/0.74 (define @t164 () (or @t13 @t123 @t122 @t9 @t121 @t163)) % 0.53/0.74 (define @t165 () (forall (@list @t1 @t160) @t164)) % 0.53/0.74 (define @t166 () (@list @t160)) % 0.53/0.74 (define @t167 () (forall @t166 @t164)) % 0.53/0.74 (define @t168 () (forall @t166 @t163)) % 0.53/0.74 (define @t169 () (or @t13 @t123 @t122 @t9 @t121 @t168)) % 0.53/0.74 (define @t170 () (forall @t25 (or (not @t84) @t105))) % 0.53/0.74 (define @t171 () (or @t13 @t123 @t122 @t9 @t121 @t170)) % 0.53/0.74 (define @t172 () (not @t79)) % 0.53/0.74 (define @t173 () (tptp.l1_lattices @t130)) % 0.53/0.74 (define @t174 () (and @t173 (tptp.l2_lattices @t130))) % 0.53/0.74 (define @t175 () (or @t138 @t174)) % 0.53/0.74 (define @t176 () (tptp.m1_subset_1 @t151 @t135)) % 0.53/0.74 (define @t177 () (not @t173)) % 0.53/0.74 (define @t178 () (or @t144 @t177 @t176)) % 0.53/0.74 (define @t179 () (tptp.k8_funct_2 @t135 @t134 @t132 @t157)) % 0.53/0.74 (define @t180 () (= (tptp.k4_xboole_0 @t133 @t152) @t179)) % 0.53/0.74 (define @t181 () (not @t176)) % 0.53/0.74 (define @t182 () (or @t144 @t143 @t141 @t139 @t138 @t181 @t180)) % 0.53/0.74 (define @t183 () (tptp.k4_xboole_0 @t133 tptp.k1_xboole_0)) % 0.53/0.74 (define @t184 () (= @t133 @t183)) % 0.53/0.74 (define @t185 () (not @t184)) % 0.53/0.74 (define @t186 () (not @t180)) % 0.53/0.74 (define @t187 () (not @t158)) % 0.53/0.74 (define @t188 () (not @t153)) % 0.53/0.74 (define @t189 () (and @t185 @t184)) % 0.53/0.74 (assume @p1 @t19) % 0.53/0.74 (assume @p2 (forall @t22 (=> @t21 (not (tptp.r2_hidden @t20 @t1))))) % 0.53/0.74 (assume @p3 (forall @t17 (=> @t26 (forall @t25 (=> @t24 @t23))))) % 0.53/0.74 (assume @p4 (forall @t17 (=> @t28 (forall @t25 (=> @t24 (and @t23 @t27)))))) % 0.53/0.74 (assume @p5 (forall @t17 (=> @t30 (forall @t25 (=> @t24 (and @t23 @t27 @t29)))))) % 0.53/0.74 (assume @p6 (forall @t17 (=> @t32 (forall @t25 (=> @t24 (and @t23 @t27 @t31 @t29)))))) % 0.53/0.74 (assume @p7 (forall @t17 (=> @t33 (forall @t25 (=> @t24 (and @t23 (tptp.v4_ordinal2 @t20) @t27 @t31 @t29)))))) % 0.53/0.74 (assume @p8 (forall @t17 (=> @t34 (and @t26 @t28 @t30 @t32 @t33)))) % 0.53/0.74 (assume @p9 (forall @t17 (=> @t26 (forall @t25 (=> @t37 @t35))))) % 0.53/0.74 (assume @p10 (forall @t17 (=> @t28 (forall @t25 (=> @t37 (and @t35 @t38)))))) % 0.53/0.74 (assume @p11 (forall @t17 (=> @t30 (forall @t25 (=> @t37 (and @t35 @t38 @t39)))))) % 0.53/0.74 (assume @p12 (forall @t17 (=> @t32 (forall @t25 (=> @t37 (and @t35 @t38 @t39 @t40)))))) % 0.53/0.74 (assume @p13 (forall @t17 (=> @t34 @t41))) % 0.53/0.74 (assume @p14 (forall @t17 (=> @t43 @t42))) % 0.53/0.74 (assume @p15 (forall @t50 (=> @t49 (=> (and @t46 @t48) @t47)))) % 0.53/0.74 (assume @p16 (forall @t17 (=> @t8 (=> @t58 @t57)))) % 0.53/0.74 (assume @p17 (forall @t17 (=> @t33 @t32))) % 0.53/0.74 (assume @p18 (forall @t50 (=> @t61 @t59))) % 0.53/0.74 (assume @p19 (forall @t17 (=> @t33 (forall @t25 (=> @t37 (and @t35 @t38 @t39 @t40 (tptp.v5_membered @t20))))))) % 0.53/0.74 (assume @p20 (forall @t17 (=> @t41 (forall @t25 (=> @t37 @t62))))) % 0.53/0.74 (assume @p21 (forall @t17 (=> @t42 @t43))) % 0.53/0.74 (assume @p22 (forall @t17 (=> @t8 (=> @t57 @t58)))) % 0.53/0.74 (assume @p23 (forall @t17 (=> @t32 @t30))) % 0.53/0.74 (assume @p24 (forall @t17 (=> @t8 (=> @t67 @t64)))) % 0.53/0.74 (assume @p25 (forall @t17 (=> @t30 @t28))) % 0.53/0.74 (assume @p26 (forall @t17 (=> @t8 (=> @t64 @t67)))) % 0.53/0.74 (assume @p27 (forall @t17 (=> @t28 @t26))) % 0.53/0.74 (assume @p28 (forall @t22 (=> @t70 (forall @t68 (=> @t49 (=> @t47 (and @t46 @t48 @t45))))))) % 0.53/0.74 (assume @p29 (forall @t17 (=> @t8 (=> @t73 (and @t14 @t72 @t66 @t65 @t63 @t71))))) % 0.53/0.74 (assume @p30 (forall @t22 (=> (and @t75 @t70) (forall @t68 (=> @t49 (=> @t47 (and @t46 (not @t74) @t48 @t45))))))) % 0.53/0.74 (assume @p31 (forall @t17 (=> @t8 (=> (and @t14 @t72 @t63 @t71) @t73)))) % 0.53/0.74 (assume @p32 (forall @t17 (=> @t8 (=> (and @t14 @t12 @t72) (and @t14 @t56 @t55 @t54 @t53 @t52 @t51 @t12 @t76))))) % 0.53/0.74 (assume @p33 (forall @t17 (=> @t15 (= @t2 (tptp.a_1_1_lopclset @t1))))) % 0.53/0.74 (assume @p34 true) % 0.53/0.74 (assume @p35 @t81) % 0.53/0.74 (assume @p36 (forall @t17 (=> (and @t14 @t82) (tptp.m1_subset_1 @t3 @t6)))) % 0.53/0.74 (assume @p37 (forall @t22 (=> (and @t14 @t8 @t84) (tptp.m1_subset_1 @t83 @t6)))) % 0.53/0.74 (assume @p38 (forall @t17 (=> @t15 (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t85))))) % 0.53/0.74 (assume @p39 (forall @t89 (=> @t88 (tptp.m1_subset_1 @t87 @t20)))) % 0.53/0.74 (assume @p40 (forall @t17 (=> @t15 (and (tptp.v1_relat_1 @t90) (tptp.v1_funct_1 @t90))))) % 0.53/0.74 (assume @p41 (forall @t17 (=> @t15 (and (tptp.v1_funct_1 @t4) (tptp.v1_funct_2 @t4 @t6 @t5) (tptp.m2_relset_1 @t4 @t6 @t5))))) % 0.53/0.74 (assume @p42 (forall @t17 (=> @t79 @t91))) % 0.53/0.74 (assume @p43 (forall @t17 (=> @t82 @t91))) % 0.53/0.74 (assume @p44 @t93) % 0.53/0.74 (assume @p45 (forall @t17 (=> @t96 (forall @t25 (=> @t95 (and @t70 @t94)))))) % 0.53/0.74 (assume @p46 (forall @t50 (=> @t97 @t61))) % 0.53/0.74 (assume @p47 (exists @t17 @t79)) % 0.53/0.74 (assume @p48 (exists @t17 @t91)) % 0.53/0.74 (assume @p49 (exists @t17 @t82)) % 0.53/0.74 (assume @p50 (exists @t17 @t8)) % 0.53/0.74 (assume @p51 (forall @t17 (=> @t96 (exists @t25 @t95)))) % 0.53/0.74 (assume @p52 (forall @t22 (exists @t68 @t49))) % 0.53/0.74 (assume @p53 (forall @t17 (exists @t25 @t24))) % 0.53/0.74 (assume @p54 (forall @t22 (exists @t68 @t97))) % 0.53/0.74 (assume @p55 (forall @t22 (=> @t41 (tptp.v1_finset_1 @t98)))) % 0.53/0.74 (assume @p56 (forall @t22 (=> (and @t41 @t62) (tptp.v1_finset_1 @t60)))) % 0.53/0.74 (assume @p57 (forall @t17 (and (not (tptp.v1_xboole_0 @t36)) (tptp.v1_finsub_1 @t36) (tptp.v3_finsub_1 @t36) (tptp.v4_finsub_1 @t36)))) % 0.53/0.74 (assume @p58 (forall @t17 (=> @t99 (not (tptp.v1_xboole_0 @t6))))) % 0.53/0.74 (assume @p59 (forall @t17 (=> @t15 (not (tptp.v1_xboole_0 @t2))))) % 0.53/0.74 (assume @p60 (forall @t22 (=> @t26 @t100))) % 0.53/0.74 (assume @p61 (forall @t22 (=> @t28 (and @t100 @t101)))) % 0.53/0.74 (assume @p62 (forall @t22 (=> @t30 (and @t100 @t101 @t102)))) % 0.53/0.74 (assume @p63 (forall @t22 (=> @t32 (and @t100 @t101 @t102 @t103)))) % 0.53/0.74 (assume @p64 (forall @t22 (=> @t33 (and @t100 @t101 @t102 @t103 (tptp.v5_membered @t98))))) % 0.53/0.74 (assume @p65 (and (tptp.v1_xboole_0 tptp.k1_xboole_0) (tptp.v1_membered tptp.k1_xboole_0) (tptp.v2_membered tptp.k1_xboole_0) (tptp.v3_membered tptp.k1_xboole_0) (tptp.v4_membered tptp.k1_xboole_0) (tptp.v5_membered tptp.k1_xboole_0))) % 0.53/0.74 (assume @p66 (forall @t22 (=> (and (not (tptp.v3_struct_0 @t20)) (tptp.v10_lattices @t20) (tptp.v17_lattices @t20) (not (tptp.v3_realset2 @t20)) (tptp.l3_lattices @t20)) (= (tptp.r2_hidden @t1 (tptp.a_1_1_lopclset @t20)) (exists @t68 (and (tptp.m1_filter_0 @t44 @t20) (= @t1 @t44) (tptp.v1_filter_0 @t44 @t20))))))) % 0.53/0.74 (assume @p67 (exists @t17 (and @t75 @t41))) % 0.53/0.74 (assume @p68 (forall @t22 (exists @t68 (and @t49 @t59 @t46 @t45)))) % 0.53/0.74 (assume @p69 (exists @t17 (and @t8 @t14 @t56 @t55 @t54 @t53 @t52 @t51 @t12 @t72 @t76 @t66 @t65 @t63 @t71 @t11 @t10))) % 0.53/0.74 (assume @p70 (exists @t17 (and @t75 @t26 @t28 @t30 @t32 @t33))) % 0.53/0.74 (assume @p71 (forall @t22 (exists @t68 (and @t49 @t59 @t46)))) % 0.53/0.74 (assume @p72 (forall @t17 (=> @t75 (exists @t25 (and @t37 @t70 @t62))))) % 0.53/0.74 (assume @p73 (exists @t17 (and @t91 @t14))) % 0.53/0.74 (assume @p74 (forall @t17 (=> @t99 (exists @t25 (and @t94 @t70))))) % 0.53/0.74 (assume @p75 (forall @t89 (=> @t88 (= @t87 (tptp.k1_funct_1 @t44 @t86))))) % 0.53/0.74 (assume @p76 (forall @t17 (=> @t15 (= @t4 @t90)))) % 0.53/0.74 (assume @p77 (forall @t50 (= @t97 @t49))) % 0.53/0.74 (assume @p78 (forall @t22 (tptp.r1_tarski @t1 @t1))) % 0.53/0.74 (assume @p79 (forall @t22 (=> @t21 @t104))) % 0.53/0.74 (assume @p80 @t108) % 0.53/0.74 (assume @p81 (forall @t22 (=> @t104 (or @t69 @t21)))) % 0.53/0.74 (assume @p82 (forall @t22 (=> (forall @t68 (= (tptp.r2_hidden @t44 @t1) (tptp.r2_hidden @t44 @t20))) @t109))) % 0.53/0.74 (assume @p83 @t112) % 0.53/0.74 (assume @p84 @t116) % 0.53/0.74 (assume @p85 @t118) % 0.53/0.74 (assume @p86 (forall @t22 (= (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t20)) (tptp.r1_tarski @t1 @t20)))) % 0.53/0.74 (assume @p87 (forall @t17 (= (tptp.k4_xboole_0 tptp.k1_xboole_0 @t1) tptp.k1_xboole_0))) % 0.53/0.74 (assume @p88 (forall @t50 (=> (and @t21 @t119) (tptp.m1_subset_1 @t1 @t44)))) % 0.53/0.74 (assume @p89 (forall @t50 (not (and @t21 @t119 @t74)))) % 0.53/0.74 (assume @p90 (forall @t17 (=> @t34 (= @t1 tptp.k1_xboole_0)))) % 0.53/0.74 (assume @p91 (forall @t22 (not (and @t21 @t69)))) % 0.53/0.74 (assume @p92 (forall @t22 (not (and @t34 (not @t109) @t69)))) % 0.53/0.74 (step @p93 :rule aci_norm :args ((= (or @t125 @t120) @t124))) % 0.53/0.74 (step @p94 :rule refl :args (@t120)) % 0.53/0.74 (step @p95 :rule refl :args (@t121)) % 0.53/0.74 (step @p96 :rule bool-double-not-elim :args (@t9)) % 0.53/0.74 (step @p97 :rule refl :args (@t122)) % 0.53/0.74 (step @p98 :rule refl :args (@t123)) % 0.53/0.74 (step @p99 :rule bool-double-not-elim :args (@t13)) % 0.53/0.74 (step @p100 :rule nary_cong :premises (@p99 @p98 @p97 @p96 @p95) :args (@t128)) % 0.53/0.74 (step @p101 :rule aci_norm :args ((= (or @t127 (or @t123 (or @t122 (or @t126 @t121)))) @t128))) % 0.53/0.74 (step @p102 :rule trans :premises (@p101 @p100)) % 0.53/0.74 (step @p103 :rule bool-and-de-morgan :args (@t10 @t8 true)) % 0.53/0.74 (step @p104 :rule nary_cong :premises (@p97 @p103) :args ((or @t122 (not (and @t10 @t8))))) % 0.53/0.74 (step @p105 :rule bool-and-de-morgan :args (@t11 @t10 (and @t8))) % 0.53/0.74 (step @p106 :rule trans :premises (@p105 @p104)) % 0.53/0.74 (step @p107 :rule nary_cong :premises (@p98 @p106) :args ((or @t123 (not (and @t11 @t10 @t8))))) % 0.53/0.74 (step @p108 :rule bool-and-de-morgan :args (@t12 @t11 (and @t10 @t8))) % 0.53/0.74 (step @p109 :rule trans :premises (@p108 @p107)) % 0.53/0.74 (step @p110 :rule refl :args (@t127)) % 0.53/0.74 (step @p111 :rule nary_cong :premises (@p110 @p109) :args ((or @t127 (not (and @t12 @t11 @t10 @t8))))) % 0.53/0.74 (step @p112 :rule bool-and-de-morgan :args (@t14 @t12 (and @t11 @t10 @t8))) % 0.53/0.74 (step @p113 :rule trans :premises (@p112 @p111)) % 0.53/0.74 (step @p114 :rule trans :premises (@p113 @p102)) % 0.53/0.74 (step @p115 :rule nary_cong :premises (@p114 @p94) :args ((or @t129 @t120))) % 0.53/0.74 (step @p116 :rule trans :premises (@p115 @p93)) % 0.53/0.74 (step @p117 :rule bool-impl-elim :args (@t15 @t120)) % 0.53/0.74 (step @p118 :rule trans :premises (@p117 @p116)) % 0.53/0.74 (step @p119 :rule cong :premises (@p118) :args ((forall @t17 (=> @t15 @t120)))) % 0.53/0.74 (step @p120 :rule eq-symm :args (@t7 @t2)) % 0.53/0.74 (step @p121 :rule refl :args (@t15)) % 0.53/0.74 (step @p122 :rule cong :premises (@p121 @p120) :args (@t16)) % 0.53/0.74 (step @p123 :rule cong :premises (@p122) :args (@t18)) % 0.53/0.74 (step @p124 :rule trans :premises (@p123 @p119)) % 0.53/0.74 (step @p125 :rule cong :premises (@p124) :args (@t19)) % 0.53/0.74 (step @p126 :rule eq_resolve :premises (@p1 @p125)) % 0.53/0.74 (step @p127 :rule skolemize :premises (@p126)) % 0.53/0.74 (step @p128 :rule cnf_or_neg :args (@t145 5)) % 0.53/0.74 (step @p129 :rule chain_m_resolution :premises (@p128 @p127) :args (@t146 @t147 @t148)) % 0.53/0.74 (step @p130 :rule aci_norm :args ((= (or @t125 @t149) (or @t13 @t123 @t122 @t9 @t121 @t149)))) % 0.53/0.74 (step @p131 :rule refl :args (@t149)) % 0.53/0.74 (step @p132 :rule nary_cong :premises (@p114 @p131) :args ((or @t129 @t149))) % 0.53/0.74 (step @p133 :rule trans :premises (@p132 @p130)) % 0.53/0.74 (step @p134 :rule bool-impl-elim :args (@t15 @t149)) % 0.53/0.74 (step @p135 :rule trans :premises (@p134 @p133)) % 0.53/0.74 (step @p136 :rule cong :premises (@p135) :args ((forall @t17 (=> @t15 @t149)))) % 0.53/0.74 (step @p137 :rule eq-symm :args (@t110 tptp.k1_xboole_0)) % 0.53/0.74 (step @p138 :rule cong :premises (@p121 @p137) :args (@t111)) % 0.53/0.74 (step @p139 :rule cong :premises (@p138) :args (@t112)) % 0.53/0.74 (step @p140 :rule trans :premises (@p139 @p136)) % 0.53/0.74 (step @p141 :rule eq_resolve :premises (@p83 @p140)) % 0.53/0.74 (step @p142 :rule instantiate :premises (@p141) :args (@t150)) % 0.53/0.74 (step @p143 :rule bool-double-not-elim :args (@t137)) % 0.53/0.74 (step @p144 :rule refl :args (@t145)) % 0.53/0.74 (step @p145 :rule nary_cong :premises (@p144 @p143) :args ((or @t145 (not @t138)))) % 0.53/0.74 (step @p146 :rule cnf_or_neg :args (@t145 4)) % 0.53/0.74 (step @p147 :rule eq_resolve :premises (@p146 @p145)) % 0.53/0.74 (step @p148 :rule reordering :premises (@p147) :args ((or @t137 @t145))) % 0.53/0.74 (step @p149 :rule chain_m_resolution :premises (@p148 @p127) :args (@t137 @t147 @t148)) % 0.53/0.74 (step @p150 :rule cnf_or_neg :args (@t145 3)) % 0.53/0.74 (step @p151 :rule chain_m_resolution :premises (@p150 @p127) :args ((not @t139) @t147 @t148)) % 0.53/0.74 (step @p152 :rule bool-double-not-elim :args (@t140)) % 0.53/0.74 (step @p153 :rule nary_cong :premises (@p144 @p152) :args ((or @t145 (not @t141)))) % 0.53/0.74 (step @p154 :rule cnf_or_neg :args (@t145 2)) % 0.53/0.74 (step @p155 :rule eq_resolve :premises (@p154 @p153)) % 0.53/0.74 (step @p156 :rule reordering :premises (@p155) :args ((or @t140 @t145))) % 0.53/0.74 (step @p157 :rule chain_m_resolution :premises (@p156 @p127) :args (@t140 @t147 @t148)) % 0.53/0.74 (step @p158 :rule bool-double-not-elim :args (@t142)) % 0.53/0.74 (step @p159 :rule nary_cong :premises (@p144 @p158) :args ((or @t145 (not @t143)))) % 0.53/0.74 (step @p160 :rule cnf_or_neg :args (@t145 1)) % 0.53/0.74 (step @p161 :rule eq_resolve :premises (@p160 @p159)) % 0.53/0.74 (step @p162 :rule reordering :premises (@p161) :args ((or @t142 @t145))) % 0.53/0.74 (step @p163 :rule chain_m_resolution :premises (@p162 @p127) :args (@t142 @t147 @t148)) % 0.53/0.74 (step @p164 :rule cnf_or_neg :args (@t145 0)) % 0.53/0.74 (step @p165 :rule chain_m_resolution :premises (@p164 @p127) :args ((not @t144) @t147 @t148)) % 0.53/0.74 (step @p166 :rule cnf_or_pos :args (@t154)) % 0.53/0.74 (step @p167 :rule reordering :premises (@p166) :args ((or @t144 @t143 @t141 @t139 @t138 @t153 (not @t154)))) % 0.53/0.74 (step @p168 :rule chain_m_resolution :premises (@p167 @p165 @p163 @p157 @p151 @p149 @p142) :args (@t153 (@list true false false true false false) (@list @t144 @t142 @t140 @t139 @t137 @t154))) % 0.53/0.74 (step @p169 :rule aci_norm :args ((= (or (or @t13 @t123 @t122 @t121) @t155) (or @t13 @t123 @t122 @t121 @t155)))) % 0.53/0.74 (step @p170 :rule refl :args (@t155)) % 0.53/0.74 (step @p171 :rule nary_cong :premises (@p99 @p98 @p97 @p95) :args (@t156)) % 0.53/0.74 (step @p172 :rule aci_norm :args ((= (or @t127 (or @t123 (or @t122 @t121))) @t156))) % 0.53/0.74 (step @p173 :rule trans :premises (@p172 @p171)) % 0.53/0.74 (step @p174 :rule bool-and-de-morgan :args (@t11 @t8 true)) % 0.53/0.74 (step @p175 :rule nary_cong :premises (@p98 @p174) :args ((or @t123 (not (and @t11 @t8))))) % 0.53/0.74 (step @p176 :rule bool-and-de-morgan :args (@t12 @t11 (and @t8))) % 0.53/0.74 (step @p177 :rule trans :premises (@p176 @p175)) % 0.53/0.74 (step @p178 :rule nary_cong :premises (@p110 @p177) :args ((or @t127 (not (and @t12 @t11 @t8))))) % 0.53/0.74 (step @p179 :rule bool-and-de-morgan :args (@t14 @t12 (and @t11 @t8))) % 0.53/0.74 (step @p180 :rule trans :premises (@p179 @p178)) % 0.53/0.74 (step @p181 :rule trans :premises (@p180 @p173)) % 0.53/0.74 (step @p182 :rule nary_cong :premises (@p181 @p170) :args ((or (not @t114) @t155))) % 0.53/0.74 (step @p183 :rule trans :premises (@p182 @p169)) % 0.53/0.74 (step @p184 :rule bool-impl-elim :args (@t114 @t155)) % 0.53/0.74 (step @p185 :rule trans :premises (@p184 @p183)) % 0.53/0.74 (step @p186 :rule cong :premises (@p185) :args ((forall @t17 (=> @t114 @t155)))) % 0.53/0.74 (step @p187 :rule eq-symm :args (@t113 @t3)) % 0.53/0.74 (step @p188 :rule refl :args (@t114)) % 0.53/0.74 (step @p189 :rule cong :premises (@p188 @p187) :args (@t115)) % 0.53/0.74 (step @p190 :rule cong :premises (@p189) :args (@t116)) % 0.53/0.74 (step @p191 :rule trans :premises (@p190 @p186)) % 0.53/0.74 (step @p192 :rule eq_resolve :premises (@p84 @p191)) % 0.53/0.74 (step @p193 :rule instantiate :premises (@p192) :args (@t150)) % 0.53/0.74 (step @p194 :rule cnf_or_pos :args (@t159)) % 0.53/0.74 (step @p195 :rule reordering :premises (@p194) :args ((or @t144 @t143 @t141 @t138 @t158 (not @t159)))) % 0.53/0.74 (step @p196 :rule chain_m_resolution :premises (@p195 @p165 @p163 @p157 @p149 @p193) :args (@t158 (@list true false false false false) (@list @t144 @t142 @t140 @t137 @t159))) % 0.53/0.74 (step @p197 :rule aci_norm :args ((= @t164 (or @t13 @t123 @t122 @t9 @t121 @t162 @t161)))) % 0.53/0.74 (step @p198 :rule cong :premises (@p197) :args (@t165)) % 0.53/0.74 (step @p199 :rule quant-merge-prenex :args ((= (forall @t17 @t167) @t165))) % 0.53/0.74 (step @p200 :rule alpha_equiv :args (@t168 (@list @t160) (@list @t20))) % 0.53/0.74 (step @p201 :rule refl :args (@t9)) % 0.53/0.74 (step @p202 :rule refl :args (@t13)) % 0.53/0.74 (step @p203 :rule nary_cong :premises (@p202 @p98 @p97 @p201 @p95 @p200) :args (@t169)) % 0.53/0.74 (step @p204 :rule quant-miniscope-or :args ((= @t167 @t169))) % 0.53/0.74 (step @p205 :rule trans :premises (@p204 @p203)) % 0.53/0.74 (step @p206 :rule symm :premises (@p205)) % 0.53/0.74 (step @p207 :rule cong :premises (@p206) :args ((forall @t17 @t171))) % 0.53/0.74 (step @p208 :rule trans :premises (@p207 @p199)) % 0.53/0.74 (step @p209 :rule trans :premises (@p208 @p198)) % 0.53/0.74 (step @p210 :rule aci_norm :args ((= (or @t125 @t170) @t171))) % 0.53/0.74 (step @p211 :rule refl :args (@t170)) % 0.53/0.74 (step @p212 :rule nary_cong :premises (@p114 @p211) :args ((or @t129 @t170))) % 0.53/0.74 (step @p213 :rule trans :premises (@p212 @p210)) % 0.53/0.74 (step @p214 :rule bool-impl-elim :args (@t15 @t170)) % 0.53/0.74 (step @p215 :rule trans :premises (@p214 @p213)) % 0.53/0.74 (step @p216 :rule cong :premises (@p215) :args ((forall @t17 (=> @t15 @t170)))) % 0.53/0.74 (step @p217 :rule trans :premises (@p216 @p209)) % 0.53/0.74 (step @p218 :rule bool-impl-elim :args (@t84 @t105)) % 0.53/0.74 (step @p219 :rule cong :premises (@p218) :args (@t106)) % 0.53/0.74 (step @p220 :rule cong :premises (@p121 @p219) :args (@t107)) % 0.53/0.74 (step @p221 :rule cong :premises (@p220) :args (@t108)) % 0.53/0.74 (step @p222 :rule trans :premises (@p221 @p217)) % 0.53/0.74 (step @p223 :rule eq_resolve :premises (@p80 @p222)) % 0.53/0.74 (step @p224 :rule instantiate :premises (@p223) :args ((@list @t130 @t151))) % 0.53/0.74 (step @p225 :rule aci_norm :args ((= (or (or @t13 @t172) @t78) (or @t13 @t172 @t78)))) % 0.53/0.74 (step @p226 :rule refl :args (@t78)) % 0.53/0.74 (step @p227 :rule refl :args (@t172)) % 0.53/0.74 (step @p228 :rule nary_cong :premises (@p99 @p227) :args ((or @t127 @t172))) % 0.53/0.74 (step @p229 :rule bool-and-de-morgan :args (@t14 @t79 true)) % 0.53/0.74 (step @p230 :rule trans :premises (@p229 @p228)) % 0.53/0.74 (step @p231 :rule nary_cong :premises (@p230 @p226) :args ((or (not @t80) @t78))) % 0.53/0.74 (step @p232 :rule trans :premises (@p231 @p225)) % 0.53/0.74 (step @p233 :rule bool-impl-elim :args (@t80 @t78)) % 0.53/0.74 (step @p234 :rule trans :premises (@p233 @p232)) % 0.53/0.74 (step @p235 :rule cong :premises (@p234) :args (@t81)) % 0.53/0.74 (step @p236 :rule eq_resolve :premises (@p35 @p235)) % 0.53/0.74 (step @p237 :rule instantiate :premises (@p236) :args (@t150)) % 0.53/0.74 (step @p238 :rule bool-impl-elim :args (@t8 @t92)) % 0.53/0.74 (step @p239 :rule cong :premises (@p238) :args (@t93)) % 0.53/0.74 (step @p240 :rule eq_resolve :premises (@p44 @p239)) % 0.53/0.74 (step @p241 :rule instantiate :premises (@p240) :args (@t150)) % 0.53/0.74 (step @p242 :rule cnf_or_pos :args (@t175)) % 0.53/0.74 (step @p243 :rule reordering :premises (@p242) :args ((or @t138 @t174 (not @t175)))) % 0.53/0.74 (step @p244 :rule chain_m_resolution :premises (@p243 @p149 @p241) :args (@t174 (@list false false) (@list @t137 @t175))) % 0.53/0.74 (step @p245 :rule cnf_and_pos :args (@t174 0)) % 0.53/0.74 (step @p246 :rule reordering :premises (@p245) :args ((or @t173 (not @t174)))) % 0.53/0.74 (step @p247 :rule chain_m_resolution :premises (@p246 @p244) :args (@t173 (@list false) (@list @t174))) % 0.53/0.74 (step @p248 :rule cnf_or_pos :args (@t178)) % 0.53/0.74 (step @p249 :rule reordering :premises (@p248) :args ((or @t144 @t177 @t176 (not @t178)))) % 0.53/0.74 (step @p250 :rule chain_m_resolution :premises (@p249 @p165 @p247 @p237) :args (@t176 (@list true false false) (@list @t144 @t173 @t178))) % 0.53/0.74 (step @p251 :rule cnf_or_pos :args (@t182)) % 0.53/0.74 (step @p252 :rule reordering :premises (@p251) :args ((or @t144 @t143 @t141 @t139 @t138 @t181 @t180 (not @t182)))) % 0.53/0.74 (step @p253 :rule chain_m_resolution :premises (@p252 @p165 @p163 @p157 @p151 @p149 @p250 @p224) :args (@t180 (@list true false false true false false false) (@list @t144 @t142 @t140 @t139 @t137 @t176 @t182))) % 0.53/0.74 (step @p254 :rule eq-symm :args (@t117 @t1)) % 0.53/0.74 (step @p255 :rule cong :premises (@p254) :args (@t118)) % 0.53/0.74 (step @p256 :rule eq_resolve :premises (@p85 @p255)) % 0.53/0.74 (step @p257 :rule instantiate :premises (@p256) :args ((@list @t133))) % 0.53/0.74 (step @p258 :rule refl :args (@t185)) % 0.53/0.74 (step @p259 :rule refl :args (@t186)) % 0.53/0.74 (step @p260 :rule refl :args (@t187)) % 0.53/0.74 (step @p261 :rule refl :args (@t188)) % 0.53/0.74 (step @p262 :rule bool-double-not-elim :args (@t136)) % 0.53/0.74 (step @p263 :rule nary_cong :premises (@p262 @p261 @p260 @p259 @p258) :args ((or (not @t146) @t188 @t187 @t186 @t185))) % 0.53/0.74 (assume-push @p304 @t185) % 0.53/0.74 (assume-push @p305 @t184) % 0.53/0.74 (step @p266 :rule evaluate :args ((= false true))) % 0.53/0.74 (step @p267 :rule true_intro :premises (@p257)) % 0.53/0.74 (step @p268 :rule false_intro :premises (@p129)) % 0.53/0.74 (step @p269 :rule symm :premises (@p196)) % 0.53/0.74 (step @p270 :rule refl :args (@t132)) % 0.53/0.74 (step @p271 :rule refl :args (@t134)) % 0.53/0.74 (step @p272 :rule refl :args (@t135)) % 0.53/0.74 (step @p273 :rule cong :premises (@p272 @p271 @p270 @p269) :args (@t179)) % 0.53/0.74 (step @p274 :rule refl :args (@t133)) % 0.53/0.74 (step @p275 :rule cong :premises (@p274 @p168) :args (@t183)) % 0.53/0.74 (step @p276 :rule trans :premises (@p275 @p253 @p273)) % 0.53/0.74 (step @p277 :rule cong :premises (@p274 @p276) :args (@t184)) % 0.53/0.74 (step @p278 :rule trans :premises (@p277 @p268)) % 0.53/0.74 (step @p279 :rule symm :premises (@p278)) % 0.53/0.74 (step @p280 :rule trans :premises (@p279 @p267)) % 0.53/0.74 (step @p281 false :rule eq_resolve :premises (@p280 @p266)) % 0.53/0.74 (step-pop @p306 :rule scope :premises (@p281)) % 0.53/0.74 (step-pop @p307 :rule scope :premises (@p306)) % 0.53/0.74 (step @p282 :rule process_scope :premises (@p307) :args (false)) % 0.53/0.74 (assume-push @p308 @t146) % 0.53/0.74 (assume-push @p309 @t153) % 0.53/0.74 (assume-push @p310 @t158) % 0.53/0.74 (assume-push @p311 @t180) % 0.53/0.74 (assume-push @p312 @t184) % 0.53/0.74 (step @p268 :rule false_intro :premises (@p129)) % 0.53/0.74 (step @p269 :rule symm :premises (@p196)) % 0.53/0.74 (step @p270 :rule refl :args (@t132)) % 0.53/0.74 (step @p271 :rule refl :args (@t134)) % 0.53/0.74 (step @p272 :rule refl :args (@t135)) % 0.53/0.74 (step @p273 :rule cong :premises (@p272 @p271 @p270 @p269) :args (@t179)) % 0.53/0.74 (step @p274 :rule refl :args (@t133)) % 0.53/0.74 (step @p275 :rule cong :premises (@p274 @p168) :args (@t183)) % 0.53/0.74 (step @p276 :rule trans :premises (@p275 @p253 @p273)) % 0.53/0.74 (step @p277 :rule cong :premises (@p274 @p276) :args (@t184)) % 0.53/0.74 (step @p290 :rule trans :premises (@p277 @p268)) % 0.53/0.74 (step @p291 :rule false_elim :premises (@p290)) % 0.53/0.74 (step @p292 :rule and_intro :premises (@p291 @p257)) % 0.53/0.74 (step-pop @p313 :rule scope :premises (@p292)) % 0.53/0.74 (step-pop @p314 :rule scope :premises (@p313)) % 0.53/0.74 (step-pop @p315 :rule scope :premises (@p314)) % 0.53/0.74 (step-pop @p316 :rule scope :premises (@p315)) % 0.53/0.74 (step-pop @p317 :rule scope :premises (@p316)) % 0.53/0.74 (step @p293 :rule process_scope :premises (@p317) :args (@t189)) % 0.53/0.74 (step @p299 :rule implies_elim :premises (@p293)) % 0.53/0.74 (step @p300 :rule resolution :premises (@p299 @p282) :args (true @t189)) % 0.53/0.74 (step @p301 :rule not_and :premises (@p300)) % 0.53/0.74 (step @p302 :rule eq_resolve :premises (@p301 @p263)) % 0.53/0.74 (step @p303 false :rule chain_m_resolution :premises (@p302 @p257 @p253 @p196 @p168 @p129) :args (false (@list false false false false true) (@list @t184 @t180 @t158 @t153 @t136))) % 0.53/0.74 ) % 0.53/0.74 % SZS output end Proof % 0.53/0.74 % cvc5 exiting %------------------------------------------------------------------------------