%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT347+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 08:30:25 AM UTC 2026 % Result : Theorem 0.63s 0.82s % Output : Proof 0.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT347+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 : n001.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 06:42:20 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.63/0.82 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.63/0.82 % SZS status Theorem % 0.63/0.82 % SZS output start Proof % 0.63/0.82 ( % 0.63/0.82 (declare-sort $$unsorted 0) % 0.63/0.82 (declare-const tptp.v13_waybel_0 (-> $$unsorted $$unsorted Bool)) % 0.63/0.82 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 0.63/0.82 (declare-const tptp.v2_waybel_0 (-> $$unsorted $$unsorted Bool)) % 0.63/0.82 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.63/0.82 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.63/0.82 (declare-const tptp.k4_relat_1 (-> $$unsorted $$unsorted)) % 0.63/0.82 (declare-const tptp.v12_waybel_0 (-> $$unsorted $$unsorted Bool)) % 0.63/0.82 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.63/0.82 (declare-const tptp.k6_relset_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.63/0.82 (declare-const tptp.k8_waybel_0 (-> $$unsorted $$unsorted)) % 0.63/0.82 (declare-const tptp.a_1_0_waybel_0 (-> $$unsorted $$unsorted)) % 0.63/0.82 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 0.63/0.82 (declare-const tptp.v2_yellow_0 (-> $$unsorted Bool)) % 0.63/0.82 (declare-const tptp.v25_waybel_0 (-> $$unsorted Bool)) % 0.63/0.82 (declare-const tptp.l1_orders_2 (-> $$unsorted Bool)) % 0.63/0.82 (declare-const tptp.k7_lattice3 (-> $$unsorted $$unsorted)) % 0.63/0.82 (declare-const tptp.v1_waybel_0 (-> $$unsorted $$unsorted Bool)) % 0.63/0.82 (declare-const tptp.v1_orders_2 (-> $$unsorted Bool)) % 0.63/0.82 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.63/0.82 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 0.63/0.82 (declare-const tptp.v1_yellow_0 (-> $$unsorted Bool)) % 0.63/0.82 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.63/0.82 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 0.63/0.82 (declare-const tptp.a_1_1_waybel_0 (-> $$unsorted $$unsorted)) % 0.63/0.82 (declare-const tptp.v2_lattice3 (-> $$unsorted Bool)) % 0.63/0.82 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.63/0.82 (declare-const tptp.k1_yellow_0 (-> $$unsorted $$unsorted $$unsorted)) % 0.63/0.82 (declare-const tptp.g1_orders_2 (-> $$unsorted $$unsorted $$unsorted)) % 0.63/0.82 (declare-const tptp.k2_yellow_1 (-> $$unsorted $$unsorted)) % 0.63/0.82 (declare-const tptp.u1_orders_2 (-> $$unsorted $$unsorted)) % 0.63/0.82 (declare-const tptp.k9_waybel_0 (-> $$unsorted $$unsorted)) % 0.63/0.82 (declare-const tptp.v4_orders_2 (-> $$unsorted Bool)) % 0.63/0.82 (declare-const tptp.v24_waybel_0 (-> $$unsorted Bool)) % 0.63/0.82 (declare-const tptp.v3_orders_2 (-> $$unsorted Bool)) % 0.63/0.82 (declare-const tptp.v3_lattice3 (-> $$unsorted Bool)) % 0.63/0.82 (declare-const tptp.v2_orders_2 (-> $$unsorted Bool)) % 0.63/0.82 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 0.63/0.82 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.63/0.82 (declare-const tptp.v3_yellow_0 (-> $$unsorted Bool)) % 0.63/0.82 (declare-const tptp.v1_lattice3 (-> $$unsorted Bool)) % 0.63/0.82 (declare-const tptp.k3_tarski (-> $$unsorted $$unsorted)) % 0.63/0.82 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 0.63/0.82 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.63/0.82 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.63/0.82 (define @t1 () (@var "B" $$unsorted)) % 0.63/0.82 (define @t2 () (tptp.k3_tarski @t1)) % 0.63/0.82 (define @t3 () (@var "A" $$unsorted)) % 0.63/0.82 (define @t4 () (tptp.k9_waybel_0 @t3)) % 0.63/0.82 (define @t5 () (tptp.k2_yellow_1 @t4)) % 0.63/0.82 (define @t6 () (= (tptp.k1_yellow_0 @t5 @t1) @t2)) % 0.63/0.82 (define @t7 () (tptp.k1_zfmisc_1 (tptp.u1_struct_0 @t5))) % 0.63/0.82 (define @t8 () (tptp.m1_subset_1 @t1 @t7)) % 0.63/0.82 (define @t9 () (tptp.v1_waybel_0 @t1 @t5)) % 0.63/0.82 (define @t10 () (tptp.v1_xboole_0 @t1)) % 0.63/0.82 (define @t11 () (not @t10)) % 0.63/0.82 (define @t12 () (and @t11 @t9 @t8)) % 0.63/0.82 (define @t13 () (@list @t1)) % 0.63/0.82 (define @t14 () (forall @t13 (=> @t12 @t6))) % 0.63/0.82 (define @t15 () (tptp.l1_orders_2 @t3)) % 0.63/0.82 (define @t16 () (tptp.v2_lattice3 @t3)) % 0.63/0.82 (define @t17 () (tptp.v2_yellow_0 @t3)) % 0.63/0.82 (define @t18 () (tptp.v4_orders_2 @t3)) % 0.63/0.82 (define @t19 () (tptp.v3_orders_2 @t3)) % 0.63/0.82 (define @t20 () (tptp.v2_orders_2 @t3)) % 0.63/0.82 (define @t21 () (and @t20 @t19 @t18 @t17 @t16 @t15)) % 0.63/0.82 (define @t22 () (=> @t21 @t14)) % 0.63/0.82 (define @t23 () (@list @t3)) % 0.63/0.82 (define @t24 () (forall @t23 @t22)) % 0.63/0.82 (define @t25 () (not @t24)) % 0.63/0.82 (define @t26 () (tptp.u1_orders_2 @t3)) % 0.63/0.82 (define @t27 () (tptp.u1_struct_0 @t3)) % 0.63/0.82 (define @t28 () (tptp.g1_orders_2 @t27 @t26)) % 0.63/0.82 (define @t29 () (tptp.v1_orders_2 @t3)) % 0.63/0.82 (define @t30 () (tptp.r2_hidden @t3 @t1)) % 0.63/0.82 (define @t31 () (@list @t3 @t1)) % 0.63/0.82 (define @t32 () (tptp.v25_waybel_0 @t3)) % 0.63/0.82 (define @t33 () (tptp.v24_waybel_0 @t3)) % 0.63/0.82 (define @t34 () (tptp.v3_struct_0 @t3)) % 0.63/0.82 (define @t35 () (not @t34)) % 0.63/0.82 (define @t36 () (tptp.v3_lattice3 @t3)) % 0.63/0.82 (define @t37 () (tptp.v1_yellow_0 @t3)) % 0.63/0.82 (define @t38 () (tptp.v3_yellow_0 @t3)) % 0.63/0.82 (define @t39 () (tptp.v1_lattice3 @t3)) % 0.63/0.82 (define @t40 () (tptp.v1_funct_1 @t3)) % 0.63/0.82 (define @t41 () (tptp.v1_xboole_0 @t3)) % 0.63/0.82 (define @t42 () (@var "C" $$unsorted)) % 0.63/0.82 (define @t43 () (tptp.k2_zfmisc_1 @t3 @t1)) % 0.63/0.82 (define @t44 () (tptp.m1_subset_1 @t42 (tptp.k1_zfmisc_1 @t43))) % 0.63/0.82 (define @t45 () (@list @t3 @t1 @t42)) % 0.63/0.82 (define @t46 () (and @t35 @t36)) % 0.63/0.82 (define @t47 () (tptp.v1_relat_1 @t3)) % 0.63/0.82 (define @t48 () (and @t47 @t40 (tptp.v2_funct_1 @t3))) % 0.63/0.82 (define @t49 () (and @t47 @t41 @t40)) % 0.63/0.82 (define @t50 () (=> @t16 @t35)) % 0.63/0.82 (define @t51 () (forall @t23 (=> @t15 @t50))) % 0.63/0.82 (define @t52 () (and @t37 @t17)) % 0.63/0.82 (define @t53 () (tptp.k8_waybel_0 @t3)) % 0.63/0.82 (define @t54 () (and @t35 @t20 @t19 @t15)) % 0.63/0.82 (define @t55 () (tptp.k7_lattice3 @t3)) % 0.63/0.82 (define @t56 () (tptp.g1_orders_2 @t3 @t1)) % 0.63/0.82 (define @t57 () (tptp.m1_relset_1 @t1 @t3 @t3)) % 0.63/0.82 (define @t58 () (tptp.k2_yellow_1 @t3)) % 0.63/0.82 (define @t59 () (tptp.k4_relat_1 @t3)) % 0.63/0.82 (define @t60 () (tptp.v1_relat_1 @t59)) % 0.63/0.82 (define @t61 () (tptp.k6_relset_1 @t3 @t1 @t42)) % 0.63/0.82 (define @t62 () (tptp.m1_relset_1 @t42 @t3 @t1)) % 0.63/0.82 (define @t63 () (tptp.v1_orders_2 @t55)) % 0.63/0.82 (define @t64 () (and @t63 (tptp.l1_orders_2 @t55))) % 0.63/0.82 (define @t65 () (forall @t23 (=> @t15 @t64))) % 0.63/0.82 (define @t66 () (tptp.l1_struct_0 @t3)) % 0.63/0.82 (define @t67 () (tptp.m2_relset_1 @t42 @t3 @t1)) % 0.63/0.82 (define @t68 () (@list @t42)) % 0.63/0.82 (define @t69 () (tptp.v2_orders_2 @t28)) % 0.63/0.82 (define @t70 () (tptp.v1_orders_2 @t28)) % 0.63/0.82 (define @t71 () (not (tptp.v3_struct_0 @t28))) % 0.63/0.82 (define @t72 () (tptp.v1_yellow_0 @t55)) % 0.63/0.82 (define @t73 () (and @t63 @t72)) % 0.63/0.82 (define @t74 () (and @t17 @t15)) % 0.63/0.82 (define @t75 () (forall @t23 (=> @t74 @t73))) % 0.63/0.82 (define @t76 () (and @t35 @t66)) % 0.63/0.82 (define @t77 () (tptp.k1_zfmisc_1 @t3)) % 0.63/0.82 (define @t78 () (tptp.v2_orders_2 @t55)) % 0.63/0.82 (define @t79 () (and @t63 @t78)) % 0.63/0.82 (define @t80 () (and @t20 @t15)) % 0.63/0.82 (define @t81 () (forall @t23 (=> @t80 @t79))) % 0.63/0.82 (define @t82 () (tptp.v3_orders_2 @t55)) % 0.63/0.82 (define @t83 () (and @t63 @t82)) % 0.63/0.82 (define @t84 () (and @t19 @t15)) % 0.63/0.82 (define @t85 () (forall @t23 (=> @t84 @t83))) % 0.63/0.82 (define @t86 () (tptp.v4_orders_2 @t55)) % 0.63/0.82 (define @t87 () (and @t63 @t86)) % 0.63/0.82 (define @t88 () (and @t18 @t15)) % 0.63/0.82 (define @t89 () (forall @t23 (=> @t88 @t87))) % 0.63/0.82 (define @t90 () (not @t41)) % 0.63/0.82 (define @t91 () (and @t35 @t15)) % 0.63/0.82 (define @t92 () (tptp.v1_lattice3 @t55)) % 0.63/0.82 (define @t93 () (not (tptp.v3_struct_0 @t55))) % 0.63/0.82 (define @t94 () (and @t93 @t63 @t92)) % 0.63/0.82 (define @t95 () (and @t16 @t15)) % 0.63/0.82 (define @t96 () (forall @t23 (=> @t95 @t94))) % 0.63/0.82 (define @t97 () (tptp.v2_lattice3 @t55)) % 0.63/0.82 (define @t98 () (and @t39 @t15)) % 0.63/0.82 (define @t99 () (tptp.v2_yellow_0 @t55)) % 0.63/0.82 (define @t100 () (and @t37 @t15)) % 0.63/0.82 (define @t101 () (= @t3 @t42)) % 0.63/0.82 (define @t102 () (tptp.m1_subset_1 @t42 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 @t1)))) % 0.63/0.82 (define @t103 () (tptp.v1_xboole_0 @t42)) % 0.63/0.82 (define @t104 () (not @t103)) % 0.63/0.82 (define @t105 () (and (not (tptp.v3_struct_0 @t1)) (tptp.v2_orders_2 @t1) (tptp.v3_orders_2 @t1) (tptp.l1_orders_2 @t1))) % 0.63/0.82 (define @t106 () (@var "D" $$unsorted)) % 0.63/0.82 (define @t107 () (tptp.v13_waybel_0 @t1 @t3)) % 0.63/0.82 (define @t108 () (tptp.v2_waybel_0 @t1 @t3)) % 0.63/0.82 (define @t109 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t27))) % 0.63/0.82 (define @t110 () (tptp.v12_waybel_0 @t1 @t3)) % 0.63/0.82 (define @t111 () (tptp.v1_waybel_0 @t1 @t3)) % 0.63/0.82 (define @t112 () (tptp.m1_subset_1 @t1 @t77)) % 0.63/0.82 (define @t113 () (tptp.m1_subset_1 @t3 @t1)) % 0.63/0.82 (define @t114 () (= @t3 @t1)) % 0.63/0.82 (define @t115 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t42))) % 0.63/0.82 (define @t116 () (= @t4 (tptp.k8_waybel_0 @t55))) % 0.63/0.82 (define @t117 () (forall @t23 (=> @t54 @t116))) % 0.63/0.82 (define @t118 () (tptp.k2_yellow_1 @t53)) % 0.63/0.82 (define @t119 () (tptp.k1_yellow_0 @t118 @t1)) % 0.63/0.82 (define @t120 () (tptp.k1_zfmisc_1 (tptp.u1_struct_0 @t118))) % 0.63/0.82 (define @t121 () (tptp.m1_subset_1 @t1 @t120)) % 0.63/0.82 (define @t122 () (tptp.v1_waybel_0 @t1 @t118)) % 0.63/0.82 (define @t123 () (and @t11 @t122 @t121)) % 0.63/0.82 (define @t124 () (=> @t123 (= @t119 @t2))) % 0.63/0.82 (define @t125 () (forall @t13 @t124)) % 0.63/0.82 (define @t126 () (and @t20 @t19 @t18 @t39 @t37 @t15)) % 0.63/0.82 (define @t127 () (=> @t126 @t125)) % 0.63/0.82 (define @t128 () (forall @t23 @t127)) % 0.63/0.82 (define @t129 () (@var "BOUND_VARIABLE_7952" $$unsorted)) % 0.63/0.82 (define @t130 () (= (tptp.k1_yellow_0 @t5 @t129) (tptp.k3_tarski @t129))) % 0.63/0.82 (define @t131 () (not (tptp.m1_subset_1 @t129 @t7))) % 0.63/0.82 (define @t132 () (not (tptp.v1_waybel_0 @t129 @t5))) % 0.63/0.82 (define @t133 () (tptp.v1_xboole_0 @t129)) % 0.63/0.82 (define @t134 () (not @t15)) % 0.63/0.82 (define @t135 () (not @t16)) % 0.63/0.82 (define @t136 () (not @t17)) % 0.63/0.82 (define @t137 () (not @t18)) % 0.63/0.82 (define @t138 () (not @t19)) % 0.63/0.82 (define @t139 () (not @t20)) % 0.63/0.82 (define @t140 () (or @t139 @t138 @t137 @t136 @t135 @t134 @t133 @t132 @t131 @t130)) % 0.63/0.82 (define @t141 () (or @t133 @t132 @t131 @t130)) % 0.63/0.82 (define @t142 () (or @t139 @t138 @t137 @t136 @t135 @t134 @t141)) % 0.63/0.82 (define @t143 () (@list @t3 @t129)) % 0.63/0.82 (define @t144 () (forall @t143 @t142)) % 0.63/0.82 (define @t145 () (@list @t129)) % 0.63/0.82 (define @t146 () (forall @t145 @t142)) % 0.63/0.82 (define @t147 () (forall @t145 @t141)) % 0.63/0.82 (define @t148 () (@list @t1)) % 0.63/0.82 (define @t149 () (or @t139 @t138 @t137 @t136 @t135 @t134 @t147)) % 0.63/0.82 (define @t150 () (not @t8)) % 0.63/0.82 (define @t151 () (not @t9)) % 0.63/0.82 (define @t152 () (or @t10 @t151 @t150 @t6)) % 0.63/0.82 (define @t153 () (forall @t13 @t152)) % 0.63/0.82 (define @t154 () (or @t139 @t138 @t137 @t136 @t135 @t134 @t153)) % 0.63/0.82 (define @t155 () (or @t139 @t138 @t137 @t136 @t135 @t134)) % 0.63/0.82 (define @t156 () (or @t135 @t134)) % 0.63/0.82 (define @t157 () (not @t95)) % 0.63/0.82 (define @t158 () (not @t11)) % 0.63/0.82 (define @t159 () (or @t158 @t151 @t150)) % 0.63/0.82 (define @t160 () (forall @t143 @t140)) % 0.63/0.82 (define @t161 () (@quantifiers_skolemize @t160 1)) % 0.63/0.82 (define @t162 () (tptp.k3_tarski @t161)) % 0.63/0.82 (define @t163 () (@quantifiers_skolemize @t160 0)) % 0.63/0.82 (define @t164 () (tptp.k9_waybel_0 @t163)) % 0.63/0.82 (define @t165 () (tptp.k2_yellow_1 @t164)) % 0.63/0.82 (define @t166 () (= (tptp.k1_yellow_0 @t165 @t161) @t162)) % 0.63/0.82 (define @t167 () (tptp.m1_subset_1 @t161 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 @t165)))) % 0.63/0.82 (define @t168 () (not @t167)) % 0.63/0.82 (define @t169 () (tptp.v1_waybel_0 @t161 @t165)) % 0.63/0.82 (define @t170 () (not @t169)) % 0.63/0.82 (define @t171 () (tptp.v1_xboole_0 @t161)) % 0.63/0.82 (define @t172 () (tptp.l1_orders_2 @t163)) % 0.63/0.82 (define @t173 () (not @t172)) % 0.63/0.82 (define @t174 () (tptp.v2_lattice3 @t163)) % 0.63/0.82 (define @t175 () (not @t174)) % 0.63/0.82 (define @t176 () (tptp.v2_yellow_0 @t163)) % 0.63/0.82 (define @t177 () (not @t176)) % 0.63/0.82 (define @t178 () (tptp.v4_orders_2 @t163)) % 0.63/0.82 (define @t179 () (not @t178)) % 0.63/0.82 (define @t180 () (tptp.v3_orders_2 @t163)) % 0.63/0.82 (define @t181 () (not @t180)) % 0.63/0.82 (define @t182 () (tptp.v2_orders_2 @t163)) % 0.63/0.82 (define @t183 () (not @t182)) % 0.63/0.82 (define @t184 () (or @t183 @t181 @t179 @t177 @t175 @t173 @t171 @t170 @t168 @t166)) % 0.63/0.82 (define @t185 () (@list true)) % 0.63/0.82 (define @t186 () (@list @t184)) % 0.63/0.82 (define @t187 () (@list @t163)) % 0.63/0.82 (define @t188 () (tptp.k7_lattice3 @t163)) % 0.63/0.82 (define @t189 () (tptp.v1_yellow_0 @t188)) % 0.63/0.82 (define @t190 () (tptp.v1_orders_2 @t188)) % 0.63/0.82 (define @t191 () (and @t190 @t189)) % 0.63/0.82 (define @t192 () (or @t177 @t173 @t191)) % 0.63/0.82 (define @t193 () (@list false false false)) % 0.63/0.82 (define @t194 () (@list false)) % 0.63/0.82 (define @t195 () (tptp.v2_orders_2 @t188)) % 0.63/0.82 (define @t196 () (and @t190 @t195)) % 0.63/0.82 (define @t197 () (or @t183 @t173 @t196)) % 0.63/0.82 (define @t198 () (or @t138 @t134)) % 0.63/0.82 (define @t199 () (not @t84)) % 0.63/0.82 (define @t200 () (tptp.v3_orders_2 @t188)) % 0.63/0.82 (define @t201 () (and @t190 @t200)) % 0.63/0.82 (define @t202 () (or @t181 @t173 @t201)) % 0.63/0.82 (define @t203 () (tptp.v4_orders_2 @t188)) % 0.63/0.82 (define @t204 () (and @t190 @t203)) % 0.63/0.82 (define @t205 () (or @t179 @t173 @t204)) % 0.63/0.82 (define @t206 () (tptp.v1_lattice3 @t188)) % 0.63/0.82 (define @t207 () (and (not (tptp.v3_struct_0 @t188)) @t190 @t206)) % 0.63/0.82 (define @t208 () (or @t175 @t173 @t207)) % 0.63/0.82 (define @t209 () (not @t35)) % 0.63/0.82 (define @t210 () (or @t209 @t139 @t138 @t134)) % 0.63/0.82 (define @t211 () (tptp.v3_struct_0 @t163)) % 0.63/0.82 (define @t212 () (not @t211)) % 0.63/0.82 (define @t213 () (or @t173 @t175 @t212)) % 0.63/0.82 (define @t214 () (tptp.k8_waybel_0 @t188)) % 0.63/0.82 (define @t215 () (= @t164 @t214)) % 0.63/0.82 (define @t216 () (or @t211 @t183 @t181 @t173 @t215)) % 0.63/0.82 (define @t217 () (tptp.k2_yellow_1 @t214)) % 0.63/0.82 (define @t218 () (tptp.v1_waybel_0 @t161 @t217)) % 0.63/0.82 (define @t219 () (tptp.l1_orders_2 @t188)) % 0.63/0.82 (define @t220 () (and @t190 @t219)) % 0.63/0.82 (define @t221 () (or @t173 @t220)) % 0.63/0.82 (define @t222 () (@var "BOUND_VARIABLE_8549" $$unsorted)) % 0.63/0.82 (define @t223 () (= (tptp.k3_tarski @t222) (tptp.k1_yellow_0 @t118 @t222))) % 0.63/0.82 (define @t224 () (not (tptp.m1_subset_1 @t222 @t120))) % 0.63/0.82 (define @t225 () (not (tptp.v1_waybel_0 @t222 @t118))) % 0.63/0.82 (define @t226 () (tptp.v1_xboole_0 @t222)) % 0.63/0.82 (define @t227 () (not @t37)) % 0.63/0.82 (define @t228 () (not @t39)) % 0.63/0.82 (define @t229 () (or @t226 @t225 @t224 @t223)) % 0.63/0.82 (define @t230 () (or @t139 @t138 @t137 @t228 @t227 @t134 @t229)) % 0.63/0.82 (define @t231 () (forall (@list @t3 @t222) @t230)) % 0.63/0.82 (define @t232 () (@list @t222)) % 0.63/0.82 (define @t233 () (forall @t232 @t230)) % 0.63/0.82 (define @t234 () (forall @t232 @t229)) % 0.63/0.82 (define @t235 () (or @t139 @t138 @t137 @t228 @t227 @t134 @t234)) % 0.63/0.82 (define @t236 () (= @t2 @t119)) % 0.63/0.82 (define @t237 () (not @t121)) % 0.63/0.82 (define @t238 () (not @t122)) % 0.63/0.82 (define @t239 () (or @t10 @t238 @t237 @t236)) % 0.63/0.82 (define @t240 () (forall @t13 @t239)) % 0.63/0.82 (define @t241 () (or @t139 @t138 @t137 @t228 @t227 @t134 @t240)) % 0.63/0.82 (define @t242 () (or @t139 @t138 @t137 @t228 @t227 @t134)) % 0.63/0.82 (define @t243 () (or @t158 @t238 @t237)) % 0.63/0.82 (define @t244 () (tptp.k1_yellow_0 @t217 @t161)) % 0.63/0.82 (define @t245 () (= @t162 @t244)) % 0.63/0.82 (define @t246 () (= @t244 @t162)) % 0.63/0.82 (define @t247 () (tptp.u1_struct_0 @t217)) % 0.63/0.82 (define @t248 () (tptp.k1_zfmisc_1 @t247)) % 0.63/0.82 (define @t249 () (tptp.m1_subset_1 @t161 @t248)) % 0.63/0.82 (define @t250 () (not @t249)) % 0.63/0.82 (define @t251 () (not @t218)) % 0.63/0.82 (define @t252 () (not @t219)) % 0.63/0.82 (define @t253 () (not @t189)) % 0.63/0.82 (define @t254 () (not @t206)) % 0.63/0.82 (define @t255 () (not @t203)) % 0.63/0.82 (define @t256 () (not @t200)) % 0.63/0.82 (define @t257 () (not @t195)) % 0.63/0.82 (define @t258 () (or @t257 @t256 @t255 @t254 @t253 @t252 @t171 @t251 @t250 @t245)) % 0.63/0.82 (assume @p1 @t25) % 0.63/0.82 (assume @p2 (forall @t23 (=> @t15 (=> @t29 (= @t3 @t28))))) % 0.63/0.82 (assume @p3 (forall @t31 (=> @t30 (not (tptp.r2_hidden @t1 @t3))))) % 0.63/0.82 (assume @p4 (forall @t23 (=> @t15 (=> (and @t35 @t20 @t36) (and @t35 @t20 @t33 @t32))))) % 0.63/0.82 (assume @p5 (forall @t23 (=> @t15 (=> (and @t35 @t20 @t32) (and @t35 @t20 @t37))))) % 0.63/0.82 (assume @p6 (forall @t23 (=> @t15 (=> (and @t35 @t20 @t19 @t18 @t39 @t37 @t33) (and @t35 @t20 @t19 @t18 @t39 @t16 @t36 @t37 @t17 @t38))))) % 0.63/0.82 (assume @p7 (forall @t23 (=> @t15 (=> (and @t35 @t20 @t18 @t32) (and @t35 @t20 @t18 @t16))))) % 0.63/0.82 (assume @p8 (forall @t23 (=> @t15 (=> (and @t35 @t20 @t18 @t17 @t32) (and @t35 @t20 @t18 @t39 @t17))))) % 0.63/0.82 (assume @p9 (forall @t23 (=> @t41 @t40))) % 0.63/0.82 (assume @p10 (forall @t23 (=> @t15 (=> @t39 @t35)))) % 0.63/0.82 (assume @p11 (forall @t45 (=> @t44 (tptp.v1_relat_1 @t42)))) % 0.63/0.82 (assume @p12 (forall @t23 (=> @t15 (=> @t46 (and @t35 @t39 @t16))))) % 0.63/0.82 (assume @p13 (forall @t23 (=> @t49 @t48))) % 0.63/0.82 (assume @p14 @t51) % 0.63/0.82 (assume @p15 (forall @t23 (=> @t15 (=> @t46 (and @t35 @t38))))) % 0.63/0.82 (assume @p16 (forall @t23 (=> @t15 (=> @t38 @t52)))) % 0.63/0.82 (assume @p17 (forall @t23 (=> @t15 (=> @t52 @t38)))) % 0.63/0.82 (assume @p18 (forall @t23 (=> @t15 (=> (and @t20 @t39 @t33) (and @t35 @t20 @t39 @t17))))) % 0.63/0.82 (assume @p19 (forall @t23 (=> @t54 (= @t53 (tptp.a_1_0_waybel_0 @t3))))) % 0.63/0.82 (assume @p20 (forall @t23 (=> @t54 (= @t4 (tptp.a_1_1_waybel_0 @t3))))) % 0.63/0.82 (assume @p21 (forall @t23 (=> @t15 (= @t55 (tptp.g1_orders_2 @t27 (tptp.k6_relset_1 @t27 @t27 @t26)))))) % 0.63/0.82 (assume @p22 (forall @t31 (=> @t57 (and (tptp.v1_orders_2 @t56) (tptp.l1_orders_2 @t56))))) % 0.63/0.82 (assume @p23 true) % 0.63/0.82 (assume @p24 (forall @t31 (=> @t15 (tptp.m1_subset_1 (tptp.k1_yellow_0 @t3 @t1) @t27)))) % 0.63/0.82 (assume @p25 (forall @t23 (and (tptp.v1_orders_2 @t58) (tptp.l1_orders_2 @t58)))) % 0.63/0.82 (assume @p26 (forall @t23 (=> @t47 @t60))) % 0.63/0.82 (assume @p27 (forall @t45 (=> @t62 (tptp.m2_relset_1 @t61 @t1 @t3)))) % 0.63/0.82 (assume @p28 @t65) % 0.63/0.82 (assume @p29 (forall @t23 (=> @t15 @t66))) % 0.63/0.82 (assume @p30 (forall @t45 (=> @t67 @t44))) % 0.63/0.82 (assume @p31 (forall @t23 (=> @t15 (tptp.m2_relset_1 @t26 @t27 @t27)))) % 0.63/0.82 (assume @p32 (exists @t23 @t15)) % 0.63/0.82 (assume @p33 (exists @t23 @t66)) % 0.63/0.82 (assume @p34 (forall @t31 (exists @t68 @t62))) % 0.63/0.82 (assume @p35 (forall @t23 (exists @t13 (tptp.m1_subset_1 @t1 @t3)))) % 0.63/0.82 (assume @p36 (forall @t31 (exists @t68 @t67))) % 0.63/0.82 (assume @p37 (forall @t23 (=> (and @t35 @t20 @t33 @t15) (and @t71 @t70 @t69 (tptp.v24_waybel_0 @t28))))) % 0.63/0.82 (assume @p38 @t75) % 0.63/0.82 (assume @p39 (forall @t23 (=> @t76 (not (tptp.v1_xboole_0 @t27))))) % 0.63/0.82 (assume @p40 (forall @t23 (not (tptp.v1_xboole_0 @t77)))) % 0.63/0.82 (assume @p41 (forall @t23 (=> (and @t35 @t20 @t19 @t18 @t17 @t15) (not (tptp.v1_xboole_0 @t4))))) % 0.63/0.82 (assume @p42 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 0.63/0.82 (assume @p43 @t81) % 0.63/0.82 (assume @p44 (forall @t23 (=> (and @t20 @t19 @t18 @t16 @t17 @t15) (and (not (tptp.v3_struct_0 @t5)) (tptp.v1_orders_2 @t5) (tptp.v2_orders_2 @t5) (tptp.v3_orders_2 @t5) (tptp.v4_orders_2 @t5) (tptp.v2_lattice3 @t5) (tptp.v3_lattice3 @t5) (tptp.v1_yellow_0 @t5) (tptp.v24_waybel_0 @t5) (tptp.v25_waybel_0 @t5))))) % 0.63/0.82 (assume @p45 @t85) % 0.63/0.82 (assume @p46 (forall @t23 (=> @t48 (and @t60 (tptp.v1_funct_1 @t59))))) % 0.63/0.82 (assume @p47 @t89) % 0.63/0.82 (assume @p48 (forall @t31 (=> (and @t90 @t11) (not (tptp.v1_xboole_0 @t43))))) % 0.63/0.82 (assume @p49 (forall @t23 (=> @t91 (and @t71 @t70)))) % 0.63/0.82 (assume @p50 (forall @t23 (=> (and @t20 @t19 @t18 @t15) (and @t63 @t78 @t82 @t86)))) % 0.63/0.82 (assume @p51 (forall @t23 (=> (and @t35 @t20 @t15) (and @t71 @t70 @t69)))) % 0.63/0.82 (assume @p52 @t96) % 0.63/0.82 (assume @p53 (forall @t23 (=> @t91 (and @t93 @t63)))) % 0.63/0.82 (assume @p54 (forall @t23 (=> @t84 (and @t70 (tptp.v3_orders_2 @t28))))) % 0.63/0.82 (assume @p55 (forall @t23 (=> @t98 (and @t93 @t63 @t97)))) % 0.63/0.82 (assume @p56 (forall @t23 (=> @t88 (and @t70 (tptp.v4_orders_2 @t28))))) % 0.63/0.82 (assume @p57 (forall @t23 (=> (and @t35 @t36 @t15) (and @t93 @t63 @t92 @t97 (tptp.v3_lattice3 @t55) @t72 @t99 (tptp.v3_yellow_0 @t55))))) % 0.63/0.82 (assume @p58 (forall @t23 (=> @t95 (and @t71 @t70 (tptp.v2_lattice3 @t28))))) % 0.63/0.82 (assume @p59 (forall @t23 (=> @t98 (and @t71 @t70 (tptp.v1_lattice3 @t28))))) % 0.63/0.82 (assume @p60 (forall @t23 (=> @t100 (and @t63 @t99)))) % 0.63/0.82 (assume @p61 (forall @t31 (=> @t105 (= (tptp.r2_hidden @t3 (tptp.a_1_0_waybel_0 @t1)) (exists @t68 (and @t104 (tptp.v1_waybel_0 @t42 @t1) (tptp.v12_waybel_0 @t42 @t1) @t102 @t101)))))) % 0.63/0.82 (assume @p62 (forall @t31 (=> @t105 (= (tptp.r2_hidden @t3 (tptp.a_1_1_waybel_0 @t1)) (exists @t68 (and @t104 (tptp.v2_waybel_0 @t42 @t1) (tptp.v13_waybel_0 @t42 @t1) @t102 @t101)))))) % 0.63/0.82 (assume @p63 (forall @t31 (=> @t57 (forall (@list @t42 @t106) (=> (= @t56 (tptp.g1_orders_2 @t42 @t106)) (and @t101 (= @t1 @t106))))))) % 0.63/0.82 (assume @p64 (forall @t23 (=> @t47 (= (tptp.k4_relat_1 @t59) @t3)))) % 0.63/0.82 (assume @p65 (forall @t45 (=> @t62 (= (tptp.k6_relset_1 @t3 @t1 @t61) @t42)))) % 0.63/0.82 (assume @p66 (forall @t23 (=> @t54 (exists @t13 (and @t109 @t11 @t108 @t107))))) % 0.63/0.82 (assume @p67 (forall @t23 (=> (and @t20 @t19 @t18 @t39 @t16 @t15) (exists @t13 (and @t109 @t11 @t111 @t108 @t110 @t107))))) % 0.63/0.82 (assume @p68 (exists @t23 (and @t15 @t35 @t29 @t20 @t19 @t18 @t39 @t16 @t36 @t37 @t17 @t38 @t33 @t32))) % 0.63/0.82 (assume @p69 (exists @t23 (and @t47 @t40))) % 0.63/0.82 (assume @p70 (exists @t23 (and @t15 @t35 @t29 @t20 @t19 @t18 @t36))) % 0.63/0.82 (assume @p71 (forall @t23 (=> @t90 (exists @t13 (and @t112 @t11))))) % 0.63/0.82 (assume @p72 (forall @t23 (=> @t15 (exists @t13 (and @t109 @t111 @t108))))) % 0.63/0.82 (assume @p73 (exists @t23 @t41)) % 0.63/0.82 (assume @p74 (exists @t23 @t49)) % 0.63/0.82 (assume @p75 (exists @t23 (and @t15 @t35 @t29 @t20 @t19 @t18 @t39 @t16 @t36))) % 0.63/0.82 (assume @p76 (forall @t23 (exists @t13 (and @t112 @t10)))) % 0.63/0.82 (assume @p77 (exists @t23 @t90)) % 0.63/0.82 (assume @p78 (exists @t23 (and @t15 @t35 @t20 @t19 @t18 @t39 @t16 @t36 @t37 @t17 @t38))) % 0.63/0.82 (assume @p79 (exists @t23 @t48)) % 0.63/0.82 (assume @p80 (exists @t23 (and @t66 @t35))) % 0.63/0.82 (assume @p81 (forall @t23 (=> @t76 (exists @t13 (and @t109 @t11))))) % 0.63/0.82 (assume @p82 (forall @t23 (=> @t15 (exists @t13 (and @t109 @t110 @t107))))) % 0.63/0.82 (assume @p83 (forall @t23 (=> @t91 (exists @t13 (and @t109 @t11 @t110 @t107))))) % 0.63/0.82 (assume @p84 (forall @t23 (=> @t54 (exists @t13 (and @t109 @t11 @t111 @t110))))) % 0.63/0.82 (assume @p85 (forall @t45 (=> @t62 (= @t61 (tptp.k4_relat_1 @t42))))) % 0.63/0.82 (assume @p86 (forall @t45 (= @t67 @t62))) % 0.63/0.82 (assume @p87 (forall @t31 (tptp.r1_tarski @t3 @t3))) % 0.63/0.82 (assume @p88 (forall @t31 (=> @t30 @t113))) % 0.63/0.82 (assume @p89 (forall @t31 (=> @t113 (or @t10 @t30)))) % 0.63/0.82 (assume @p90 (forall @t31 (=> (forall @t68 (= (tptp.r2_hidden @t42 @t3) (tptp.r2_hidden @t42 @t1))) @t114))) % 0.63/0.82 (assume @p91 (forall @t31 (= (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 @t1)) (tptp.r1_tarski @t3 @t1)))) % 0.63/0.82 (assume @p92 (forall @t45 (=> (and @t30 @t115) (tptp.m1_subset_1 @t3 @t42)))) % 0.63/0.82 (assume @p93 (forall @t45 (not (and @t30 @t115 @t103)))) % 0.63/0.82 (assume @p94 (forall @t23 (=> @t41 (= @t3 tptp.k1_xboole_0)))) % 0.63/0.82 (assume @p95 (forall @t31 (not (and @t30 @t10)))) % 0.63/0.82 (assume @p96 @t117) % 0.63/0.82 (assume @p97 (forall @t31 (not (and @t41 (not @t114) @t10)))) % 0.63/0.82 (assume @p98 @t128) % 0.63/0.82 (step @p99 :rule aci_norm :args ((= @t142 @t140))) % 0.63/0.82 (step @p100 :rule cong :premises (@p99) :args (@t144)) % 0.63/0.82 (step @p101 :rule quant-merge-prenex :args ((= (forall @t23 @t146) @t144))) % 0.63/0.82 (step @p102 :rule alpha_equiv :args (@t147 (@list @t129) @t148)) % 0.63/0.82 (step @p103 :rule refl :args (@t134)) % 0.63/0.82 (step @p104 :rule refl :args (@t135)) % 0.63/0.82 (step @p105 :rule refl :args (@t136)) % 0.63/0.82 (step @p106 :rule refl :args (@t137)) % 0.63/0.82 (step @p107 :rule refl :args (@t138)) % 0.63/0.82 (step @p108 :rule refl :args (@t139)) % 0.63/0.82 (step @p109 :rule nary_cong :premises (@p108 @p107 @p106 @p105 @p104 @p103 @p102) :args (@t149)) % 0.63/0.82 (step @p110 :rule quant-miniscope-or :args ((= @t146 @t149))) % 0.63/0.82 (step @p111 :rule trans :premises (@p110 @p109)) % 0.63/0.82 (step @p112 :rule symm :premises (@p111)) % 0.63/0.82 (step @p113 :rule cong :premises (@p112) :args ((forall @t23 @t154))) % 0.63/0.82 (step @p114 :rule trans :premises (@p113 @p101)) % 0.63/0.82 (step @p115 :rule trans :premises (@p114 @p100)) % 0.63/0.82 (step @p116 :rule aci_norm :args ((= (or @t155 @t153) @t154))) % 0.63/0.82 (step @p117 :rule refl :args (@t153)) % 0.63/0.82 (step @p118 :rule aci_norm :args ((= (or @t139 (or @t138 (or @t137 (or @t136 @t156)))) @t155))) % 0.63/0.82 (step @p119 :rule bool-and-de-morgan :args (@t16 @t15 true)) % 0.63/0.82 (step @p120 :rule nary_cong :premises (@p105 @p119) :args ((or @t136 @t157))) % 0.63/0.82 (step @p121 :rule bool-and-de-morgan :args (@t17 @t16 (and @t15))) % 0.63/0.82 (step @p122 :rule trans :premises (@p121 @p120)) % 0.63/0.82 (step @p123 :rule nary_cong :premises (@p106 @p122) :args ((or @t137 (not (and @t17 @t16 @t15))))) % 0.63/0.82 (step @p124 :rule bool-and-de-morgan :args (@t18 @t17 (and @t16 @t15))) % 0.63/0.82 (step @p125 :rule trans :premises (@p124 @p123)) % 0.63/0.82 (step @p126 :rule nary_cong :premises (@p107 @p125) :args ((or @t138 (not (and @t18 @t17 @t16 @t15))))) % 0.63/0.82 (step @p127 :rule bool-and-de-morgan :args (@t19 @t18 (and @t17 @t16 @t15))) % 0.63/0.82 (step @p128 :rule trans :premises (@p127 @p126)) % 0.63/0.82 (step @p129 :rule nary_cong :premises (@p108 @p128) :args ((or @t139 (not (and @t19 @t18 @t17 @t16 @t15))))) % 0.63/0.82 (step @p130 :rule bool-and-de-morgan :args (@t20 @t19 (and @t18 @t17 @t16 @t15))) % 0.63/0.82 (step @p131 :rule trans :premises (@p130 @p129)) % 0.63/0.82 (step @p132 :rule trans :premises (@p131 @p118)) % 0.63/0.82 (step @p133 :rule nary_cong :premises (@p132 @p117) :args ((or (not @t21) @t153))) % 0.63/0.82 (step @p134 :rule trans :premises (@p133 @p116)) % 0.63/0.82 (step @p135 :rule bool-impl-elim :args (@t21 @t153)) % 0.63/0.82 (step @p136 :rule trans :premises (@p135 @p134)) % 0.63/0.82 (step @p137 :rule cong :premises (@p136) :args ((forall @t23 (=> @t21 @t153)))) % 0.63/0.82 (step @p138 :rule trans :premises (@p137 @p115)) % 0.63/0.82 (step @p139 :rule aci_norm :args ((= (or (or @t10 @t151 @t150) @t6) @t152))) % 0.63/0.82 (step @p140 :rule refl :args 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@p103 @p345) :args (@t235)) % 0.63/0.82 (step @p349 :rule quant-miniscope-or :args ((= @t233 @t235))) % 0.63/0.82 (step @p350 :rule trans :premises (@p349 @p348)) % 0.63/0.82 (step @p351 :rule symm :premises (@p350)) % 0.63/0.82 (step @p352 :rule cong :premises (@p351) :args ((forall @t23 @t241))) % 0.63/0.82 (step @p353 :rule trans :premises (@p352 @p344)) % 0.63/0.82 (step @p354 :rule trans :premises (@p353 @p343)) % 0.63/0.82 (step @p355 :rule aci_norm :args ((= (or @t242 @t240) @t241))) % 0.63/0.82 (step @p356 :rule refl :args (@t240)) % 0.63/0.82 (step @p357 :rule aci_norm :args ((= (or @t139 (or @t138 (or @t137 (or @t228 (or @t227 @t134))))) @t242))) % 0.63/0.82 (step @p358 :rule bool-and-de-morgan :args (@t37 @t15 true)) % 0.63/0.82 (step @p359 :rule nary_cong :premises (@p347 @p358) :args ((or @t228 (not @t100)))) % 0.63/0.82 (step @p360 :rule bool-and-de-morgan :args (@t39 @t37 (and @t15))) % 0.63/0.82 (step @p361 :rule trans :premises (@p360 @p359)) % 0.63/0.82 (step @p362 :rule nary_cong :premises (@p106 @p361) :args ((or @t137 (not (and @t39 @t37 @t15))))) % 0.63/0.82 (step @p363 :rule bool-and-de-morgan :args (@t18 @t39 (and @t37 @t15))) % 0.63/0.82 (step @p364 :rule trans :premises (@p363 @p362)) % 0.63/0.82 (step @p365 :rule nary_cong :premises (@p107 @p364) :args ((or @t138 (not (and @t18 @t39 @t37 @t15))))) % 0.63/0.82 (step @p366 :rule bool-and-de-morgan :args (@t19 @t18 (and @t39 @t37 @t15))) % 0.63/0.82 (step @p367 :rule trans :premises (@p366 @p365)) % 0.63/0.82 (step @p368 :rule nary_cong :premises (@p108 @p367) :args ((or @t139 (not (and @t19 @t18 @t39 @t37 @t15))))) % 0.63/0.82 (step @p369 :rule bool-and-de-morgan :args (@t20 @t19 (and @t18 @t39 @t37 @t15))) % 0.63/0.82 (step @p370 :rule trans :premises (@p369 @p368)) % 0.63/0.82 (step @p371 :rule trans :premises (@p370 @p357)) % 0.63/0.82 (step @p372 :rule nary_cong :premises (@p371 @p356) :args ((or (not @t126) @t240))) % 0.63/0.82 (step @p373 :rule trans :premises (@p372 @p355)) % 0.63/0.82 (step @p374 :rule bool-impl-elim :args (@t126 @t240)) % 0.63/0.82 (step @p375 :rule trans :premises (@p374 @p373)) % 0.63/0.82 (step @p376 :rule cong :premises (@p375) :args ((forall @t23 (=> @t126 @t240)))) % 0.63/0.82 (step @p377 :rule trans :premises (@p376 @p354)) % 0.63/0.82 (step @p378 :rule aci_norm :args ((= (or (or @t10 @t238 @t237) @t236) @t239))) % 0.63/0.82 (step @p379 :rule refl :args (@t236)) % 0.63/0.82 (step @p380 :rule refl :args (@t237)) % 0.63/0.82 (step @p381 :rule refl :args (@t238)) % 0.63/0.82 (step @p382 :rule nary_cong :premises (@p143 @p381 @p380) :args (@t243)) % 0.63/0.82 (step @p383 :rule aci_norm :args ((= (or @t158 (or @t238 @t237)) @t243))) % 0.63/0.82 (step @p384 :rule trans :premises (@p383 @p382)) % 0.63/0.82 (step @p385 :rule bool-and-de-morgan :args (@t122 @t121 true)) % 0.63/0.82 (step @p386 :rule nary_cong :premises (@p148 @p385) :args ((or @t158 (not (and @t122 @t121))))) % 0.63/0.82 (step @p387 :rule bool-and-de-morgan :args (@t11 @t122 (and @t121))) % 0.63/0.82 (step @p388 :rule trans :premises (@p387 @p386)) % 0.63/0.82 (step @p389 :rule trans :premises (@p388 @p384)) % 0.63/0.82 (step @p390 :rule nary_cong :premises (@p389 @p379) :args ((or (not @t123) @t236))) % 0.63/0.82 (step @p391 :rule trans :premises (@p390 @p378)) % 0.63/0.82 (step @p392 :rule bool-impl-elim :args (@t123 @t236)) % 0.63/0.82 (step @p393 :rule trans :premises (@p392 @p391)) % 0.63/0.82 (step @p394 :rule cong :premises (@p393) :args ((forall @t13 (=> @t123 @t236)))) % 0.63/0.82 (step @p395 :rule eq-symm :args (@t119 @t2)) % 0.63/0.82 (step @p396 :rule refl :args (@t123)) % 0.63/0.82 (step @p397 :rule cong :premises (@p396 @p395) :args (@t124)) % 0.63/0.82 (step @p398 :rule cong :premises (@p397) :args (@t125)) % 0.63/0.82 (step @p399 :rule trans :premises (@p398 @p394)) % 0.63/0.82 (step @p400 :rule refl :args (@t126)) % 0.63/0.82 (step @p401 :rule cong :premises (@p400 @p399) :args (@t127)) % 0.63/0.82 (step @p402 :rule cong :premises (@p401) :args (@t128)) % 0.63/0.82 (step @p403 :rule trans :premises (@p402 @p377)) % 0.63/0.82 (step @p404 :rule eq_resolve :premises (@p98 @p403)) % 0.63/0.82 (step @p405 :rule instantiate :premises (@p404) :args ((@list @t188 @t161))) % 0.63/0.82 (step @p406 :rule bool-eq-false :args (@t245)) % 0.63/0.82 (step @p407 :rule symm :premises (@p406)) % 0.63/0.82 (step @p408 :rule eq-symm :args (@t244 @t162)) % 0.63/0.82 (step @p409 :rule cong :premises (@p408) :args ((not @t246))) % 0.63/0.82 (step @p410 :rule bool-eq-false :args (@t246)) % 0.63/0.82 (step @p411 :rule trans :premises (@p410 @p409)) % 0.63/0.82 (step @p412 :rule trans :premises (@p411 @p407)) % 0.63/0.82 (step @p413 :rule cnf_or_neg :args (@t184 9)) % 0.63/0.82 (step @p414 :rule chain_m_resolution :premises (@p413 @p164) :args ((not @t166) @t185 @t186)) % 0.63/0.82 (step @p415 :rule false_intro :premises (@p414)) % 0.63/0.82 (step @p416 :rule refl :args (@t162)) % 0.63/0.82 (step @p417 :rule cong :premises (@p327 @p328) :args (@t244)) % 0.63/0.82 (step @p418 :rule cong :premises (@p417 @p416) :args (@t246)) % 0.63/0.82 (step @p419 :rule trans :premises (@p418 @p415)) % 0.63/0.82 (step @p420 :rule eq_resolve :premises (@p419 @p412)) % 0.63/0.82 (step @p421 :rule false_elim :premises (@p420)) % 0.63/0.82 (step @p422 :rule bool-double-not-elim :args (@t167)) % 0.63/0.82 (step @p423 :rule nary_cong :premises (@p178 @p422) :args ((or @t184 (not @t168)))) % 0.63/0.82 (step @p424 :rule cnf_or_neg :args (@t184 8)) % 0.63/0.82 (step @p425 :rule eq_resolve :premises (@p424 @p423)) % 0.63/0.82 (step @p426 :rule reordering :premises (@p425) :args ((or @t167 @t184))) % 0.63/0.82 (step @p427 :rule chain_m_resolution :premises (@p426 @p164) :args (@t167 @t185 @t186)) % 0.63/0.82 (step @p428 :rule true_intro :premises (@p427)) % 0.63/0.82 (step @p429 :rule cong :premises (@p327) :args (@t247)) % 0.63/0.82 (step @p430 :rule cong :premises (@p429) :args (@t248)) % 0.63/0.82 (step @p431 :rule cong :premises (@p328 @p430) :args (@t249)) % 0.63/0.82 (step @p432 :rule trans :premises (@p431 @p428)) % 0.63/0.82 (step @p433 :rule true_elim :premises (@p432)) % 0.63/0.82 (step @p434 :rule cnf_or_pos :args (@t258)) % 0.63/0.82 (step @p435 :rule reordering :premises (@p434) :args ((or @t171 @t253 @t257 @t256 @t255 @t254 @t252 @t251 @t250 @t245 (not @t258)))) % 0.63/0.82 (step @p436 false :rule chain_m_resolution :premises (@p435 @p433 @p421 @p405 @p341 @p331 @p282 @p261 @p239 @p217 @p195 @p166) :args (false (@list false true false false false false false false false false true) (@list @t249 @t245 @t258 @t219 @t218 @t206 @t203 @t200 @t195 @t189 @t171))) % 0.63/0.82 ) % 0.63/0.82 % SZS output end Proof % 0.63/0.82 % cvc5 exiting %------------------------------------------------------------------------------