%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT356+1 : TPTP v9.2.1. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n012.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 08:30:27 AM UTC 2026 % Result : Theorem 0.32s 0.60s % Output : Proof 0.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : LAT356+1 : TPTP v9.2.1. Released v3.4.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 06:46:33 EDT 2026 % 0.07/0.25 % CPUTime : % 0.14/0.35 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.32/0.60 % SZS status Theorem % 0.32/0.60 % SZS output start Proof % 0.32/0.60 ( % 0.32/0.60 (declare-sort $$unsorted 0) % 0.32/0.60 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.32/0.60 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.32/0.60 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 0.32/0.60 (declare-const tptp.k4_tarski (-> $$unsorted $$unsorted $$unsorted)) % 0.32/0.60 (declare-const tptp.v4_ordinal2 (-> $$unsorted Bool)) % 0.32/0.60 (declare-const tptp.v2_yellow_0 (-> $$unsorted Bool)) % 0.32/0.60 (declare-const tptp.v3_yellow_0 (-> $$unsorted Bool)) % 0.32/0.60 (declare-const tptp.v5_orders_3 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.32/0.60 (declare-const tptp.v20_waybel_0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.32/0.60 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 0.32/0.60 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 0.32/0.60 (declare-const tptp.v24_waybel_0 (-> $$unsorted Bool)) % 0.32/0.60 (declare-const tptp.m1_waybel_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.32/0.60 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 0.32/0.60 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 0.32/0.60 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 0.32/0.60 (declare-const tptp.k7_grcat_1 (-> $$unsorted $$unsorted)) % 0.32/0.60 (declare-const tptp.k2_waybel34 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.32/0.60 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 0.32/0.60 (declare-const tptp.v1_lattice3 (-> $$unsorted Bool)) % 0.32/0.60 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 0.32/0.60 (declare-const tptp.k1_waybel34 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.32/0.60 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 0.32/0.60 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.32/0.60 (declare-const tptp.l1_orders_2 (-> $$unsorted Bool)) % 0.32/0.60 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 0.32/0.60 (declare-const tptp.v2_orders_2 (-> $$unsorted Bool)) % 0.32/0.60 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 0.32/0.60 (declare-const tptp.v1_yellow_0 (-> $$unsorted Bool)) % 0.32/0.60 (declare-const tptp.v3_orders_2 (-> $$unsorted Bool)) % 0.32/0.60 (declare-const tptp.v3_lattice3 (-> $$unsorted Bool)) % 0.32/0.60 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 0.32/0.60 (declare-const tptp.v1_finset_1 (-> $$unsorted Bool)) % 0.32/0.60 (declare-const tptp.v2_lattice3 (-> $$unsorted Bool)) % 0.32/0.60 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.32/0.60 (declare-const tptp.v4_orders_2 (-> $$unsorted Bool)) % 0.32/0.60 (declare-const tptp.v8_waybel_1 (-> $$unsorted $$unsorted Bool)) % 0.32/0.60 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 0.32/0.60 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.32/0.60 (declare-const tptp.v25_waybel_0 (-> $$unsorted Bool)) % 0.32/0.60 (declare-const tptp.v1_setfam_1 (-> $$unsorted Bool)) % 0.32/0.60 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 0.32/0.60 (declare-const tptp.v18_waybel_0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.32/0.60 (declare-const tptp.v23_waybel_0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.32/0.60 (declare-const tptp.v11_quantal1 (-> $$unsorted Bool)) % 0.32/0.60 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.32/0.60 (declare-const tptp.k2_tarski (-> $$unsorted $$unsorted $$unsorted)) % 0.32/0.60 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.32/0.60 (declare-const tptp.v6_waybel_1 (-> $$unsorted $$unsorted Bool)) % 0.32/0.60 (declare-const tptp.v7_waybel_1 (-> $$unsorted $$unsorted Bool)) % 0.32/0.60 (declare-const tptp.k1_tarski (-> $$unsorted $$unsorted)) % 0.32/0.60 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.32/0.60 (declare-const tptp.v17_waybel_0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.32/0.60 (declare-const tptp.v22_waybel_0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.32/0.60 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 0.32/0.60 (declare-const tptp.v19_waybel_0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.32/0.60 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.32/0.60 (declare-const tptp.v5_waybel_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.32/0.60 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.32/0.60 (declare-const tptp.v21_waybel_0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.32/0.60 (declare-const tptp.k1_waybel_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.32/0.60 (declare-const tptp.v3_waybel_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.32/0.60 (declare-const tptp.v4_waybel_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.32/0.60 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.32/0.60 (define @t1 () (@var "A" $$unsorted)) % 0.32/0.60 (define @t2 () (tptp.k7_grcat_1 @t1)) % 0.32/0.60 (define @t3 () (tptp.k2_waybel34 @t1 @t1 @t2)) % 0.32/0.60 (define @t4 () (tptp.k1_waybel34 @t1 @t1 @t2)) % 0.32/0.60 (define @t5 () (and (= @t4 @t2) (= @t3 @t2))) % 0.32/0.60 (define @t6 () (tptp.l1_orders_2 @t1)) % 0.32/0.60 (define @t7 () (tptp.v3_lattice3 @t1)) % 0.32/0.60 (define @t8 () (tptp.v2_lattice3 @t1)) % 0.32/0.60 (define @t9 () (tptp.v1_lattice3 @t1)) % 0.32/0.60 (define @t10 () (tptp.v4_orders_2 @t1)) % 0.32/0.60 (define @t11 () (tptp.v3_orders_2 @t1)) % 0.32/0.60 (define @t12 () (tptp.v2_orders_2 @t1)) % 0.32/0.60 (define @t13 () (and @t12 @t11 @t10 @t9 @t8 @t7 @t6)) % 0.32/0.60 (define @t14 () (=> @t13 @t5)) % 0.32/0.60 (define @t15 () (@list @t1)) % 0.32/0.60 (define @t16 () (forall @t15 @t14)) % 0.32/0.60 (define @t17 () (not @t16)) % 0.32/0.60 (define @t18 () (@var "B" $$unsorted)) % 0.32/0.60 (define @t19 () (tptp.r2_hidden @t1 @t18)) % 0.32/0.60 (define @t20 () (@list @t1 @t18)) % 0.32/0.60 (define @t21 () (tptp.v1_xcmplx_0 @t18)) % 0.32/0.60 (define @t22 () (tptp.m1_subset_1 @t18 @t1)) % 0.32/0.60 (define @t23 () (@list @t18)) % 0.32/0.60 (define @t24 () (tptp.v1_membered @t1)) % 0.32/0.60 (define @t25 () (tptp.v25_waybel_0 @t1)) % 0.32/0.60 (define @t26 () (tptp.v24_waybel_0 @t1)) % 0.32/0.60 (define @t27 () (tptp.v3_struct_0 @t1)) % 0.32/0.60 (define @t28 () (not @t27)) % 0.32/0.60 (define @t29 () (tptp.v1_xreal_0 @t18)) % 0.32/0.60 (define @t30 () (tptp.v2_membered @t1)) % 0.32/0.60 (define @t31 () (tptp.v1_yellow_0 @t1)) % 0.32/0.60 (define @t32 () (tptp.v1_rat_1 @t18)) % 0.32/0.60 (define @t33 () (tptp.v3_membered @t1)) % 0.32/0.60 (define @t34 () (tptp.v3_yellow_0 @t1)) % 0.32/0.60 (define @t35 () (tptp.v2_yellow_0 @t1)) % 0.32/0.60 (define @t36 () (tptp.v1_int_1 @t18)) % 0.32/0.60 (define @t37 () (tptp.v4_membered @t1)) % 0.32/0.60 (define @t38 () (tptp.v4_ordinal2 @t18)) % 0.32/0.60 (define @t39 () (tptp.v5_membered @t1)) % 0.32/0.60 (define @t40 () (tptp.v1_xboole_0 @t1)) % 0.32/0.60 (define @t41 () (tptp.v1_membered @t18)) % 0.32/0.60 (define @t42 () (tptp.m1_subset_1 @t18 (tptp.k1_zfmisc_1 @t1))) % 0.32/0.60 (define @t43 () (tptp.v2_membered @t18)) % 0.32/0.60 (define @t44 () (tptp.v3_membered @t18)) % 0.32/0.60 (define @t45 () (tptp.v4_membered @t18)) % 0.32/0.60 (define @t46 () (tptp.v1_finset_1 @t1)) % 0.32/0.60 (define @t47 () (tptp.v1_funct_1 @t1)) % 0.32/0.60 (define @t48 () (=> @t9 @t28)) % 0.32/0.60 (define @t49 () (forall @t15 (=> @t6 @t48))) % 0.32/0.60 (define @t50 () (@var "C" $$unsorted)) % 0.32/0.60 (define @t51 () (tptp.v1_relat_1 @t50)) % 0.32/0.60 (define @t52 () (tptp.k2_zfmisc_1 @t1 @t18)) % 0.32/0.60 (define @t53 () (tptp.m1_subset_1 @t50 (tptp.k1_zfmisc_1 @t52))) % 0.32/0.60 (define @t54 () (@list @t1 @t18 @t50)) % 0.32/0.60 (define @t55 () (tptp.v1_xboole_0 @t18)) % 0.32/0.60 (define @t56 () (not @t55)) % 0.32/0.60 (define @t57 () (not @t40)) % 0.32/0.60 (define @t58 () (and @t57 (tptp.v1_setfam_1 @t1))) % 0.32/0.60 (define @t59 () (tptp.v5_orders_3 @t18 @t1 @t1)) % 0.32/0.60 (define @t60 () (tptp.v11_quantal1 @t18)) % 0.32/0.60 (define @t61 () (tptp.u1_struct_0 @t1)) % 0.32/0.60 (define @t62 () (tptp.v1_partfun1 @t18 @t61 @t61)) % 0.32/0.60 (define @t63 () (tptp.v1_funct_2 @t18 @t61 @t61)) % 0.32/0.60 (define @t64 () (tptp.v1_funct_1 @t18)) % 0.32/0.60 (define @t65 () (tptp.v6_waybel_1 @t18 @t1)) % 0.32/0.60 (define @t66 () (tptp.m1_relset_1 @t18 @t61 @t61)) % 0.32/0.60 (define @t67 () (and @t28 @t6)) % 0.32/0.60 (define @t68 () (tptp.u1_struct_0 @t18)) % 0.32/0.60 (define @t69 () (tptp.v1_partfun1 @t50 @t61 @t68)) % 0.32/0.60 (define @t70 () (tptp.v5_orders_3 @t50 @t1 @t18)) % 0.32/0.60 (define @t71 () (tptp.v1_funct_2 @t50 @t61 @t68)) % 0.32/0.60 (define @t72 () (tptp.v1_funct_1 @t50)) % 0.32/0.60 (define @t73 () (tptp.v1_xboole_0 @t50)) % 0.32/0.60 (define @t74 () (not @t73)) % 0.32/0.60 (define @t75 () (tptp.v22_waybel_0 @t50 @t1 @t18)) % 0.32/0.60 (define @t76 () (tptp.m1_relset_1 @t50 @t61 @t68)) % 0.32/0.60 (define @t77 () (@list @t50)) % 0.32/0.60 (define @t78 () (tptp.l1_orders_2 @t18)) % 0.32/0.60 (define @t79 () (tptp.v4_orders_2 @t18)) % 0.32/0.60 (define @t80 () (tptp.v2_orders_2 @t18)) % 0.32/0.60 (define @t81 () (not (tptp.v3_struct_0 @t18))) % 0.32/0.60 (define @t82 () (tptp.v19_waybel_0 @t50 @t1 @t18)) % 0.32/0.60 (define @t83 () (tptp.v2_lattice3 @t18)) % 0.32/0.60 (define @t84 () (tptp.v3_orders_2 @t18)) % 0.32/0.60 (define @t85 () (tptp.v21_waybel_0 @t50 @t1 @t18)) % 0.32/0.60 (define @t86 () (tptp.v17_waybel_0 @t50 @t1 @t18)) % 0.32/0.60 (define @t87 () (and @t28 @t12 @t11 @t10 @t6 @t81 @t80 @t84 @t79 @t78)) % 0.32/0.60 (define @t88 () (and @t28 @t7)) % 0.32/0.60 (define @t89 () (tptp.v1_finset_1 @t18)) % 0.32/0.60 (define @t90 () (tptp.v1_relat_1 @t1)) % 0.32/0.60 (define @t91 () (and @t90 @t47 (tptp.v2_funct_1 @t1))) % 0.32/0.60 (define @t92 () (and @t90 @t40 @t47)) % 0.32/0.60 (define @t93 () (tptp.v20_waybel_0 @t50 @t1 @t18)) % 0.32/0.60 (define @t94 () (tptp.v18_waybel_0 @t50 @t1 @t18)) % 0.32/0.60 (define @t95 () (and @t64 @t56 @t63 @t62 @t65)) % 0.32/0.60 (define @t96 () (tptp.v7_waybel_1 @t18 @t1)) % 0.32/0.60 (define @t97 () (tptp.v8_waybel_1 @t18 @t1)) % 0.32/0.60 (define @t98 () (and @t31 @t35)) % 0.32/0.60 (define @t99 () (and @t28 @t6 @t81 @t78)) % 0.32/0.60 (define @t100 () (tptp.k2_tarski @t1 @t18)) % 0.32/0.60 (define @t101 () (@var "D" $$unsorted)) % 0.32/0.60 (define @t102 () (tptp.k1_waybel_1 @t1 @t18 @t50 @t101)) % 0.32/0.60 (define @t103 () (tptp.k1_waybel34 @t1 @t18 @t50)) % 0.32/0.60 (define @t104 () (= (= @t101 @t103) (tptp.v3_waybel_1 @t102 @t1 @t18))) % 0.32/0.60 (define @t105 () (tptp.m2_relset_1 @t101 @t68 @t61)) % 0.32/0.60 (define @t106 () (tptp.v1_funct_2 @t101 @t68 @t61)) % 0.32/0.60 (define @t107 () (tptp.v1_funct_1 @t101)) % 0.32/0.60 (define @t108 () (and @t107 @t106 @t105)) % 0.32/0.60 (define @t109 () (@list @t101)) % 0.32/0.60 (define @t110 () (forall @t109 (=> @t108 @t104))) % 0.32/0.60 (define @t111 () (tptp.v3_lattice3 @t18)) % 0.32/0.60 (define @t112 () (and @t7 @t111 @t86)) % 0.32/0.60 (define @t113 () (=> @t112 @t110)) % 0.32/0.60 (define @t114 () (tptp.m2_relset_1 @t50 @t61 @t68)) % 0.32/0.60 (define @t115 () (and @t72 @t71 @t114)) % 0.32/0.60 (define @t116 () (=> @t115 @t113)) % 0.32/0.60 (define @t117 () (forall @t77 @t116)) % 0.32/0.60 (define @t118 () (tptp.v1_lattice3 @t18)) % 0.32/0.60 (define @t119 () (and @t80 @t84 @t79 @t118 @t83 @t78)) % 0.32/0.60 (define @t120 () (=> @t119 @t117)) % 0.32/0.60 (define @t121 () (forall @t23 @t120)) % 0.32/0.60 (define @t122 () (and @t12 @t11 @t10 @t9 @t8 @t6)) % 0.32/0.60 (define @t123 () (=> @t122 @t121)) % 0.32/0.60 (define @t124 () (forall @t15 @t123)) % 0.32/0.60 (define @t125 () (tptp.k2_waybel34 @t1 @t18 @t50)) % 0.32/0.60 (define @t126 () (= (= @t101 @t125) (tptp.v3_waybel_1 (tptp.k1_waybel_1 @t1 @t18 @t101 @t50) @t1 @t18))) % 0.32/0.60 (define @t127 () (tptp.m2_relset_1 @t101 @t61 @t68)) % 0.32/0.60 (define @t128 () (tptp.v1_funct_2 @t101 @t61 @t68)) % 0.32/0.60 (define @t129 () (and @t107 @t128 @t127)) % 0.32/0.60 (define @t130 () (forall @t109 (=> @t129 @t126))) % 0.32/0.60 (define @t131 () (tptp.v18_waybel_0 @t50 @t18 @t1)) % 0.32/0.60 (define @t132 () (and @t7 @t111 @t131)) % 0.32/0.60 (define @t133 () (=> @t132 @t130)) % 0.32/0.60 (define @t134 () (tptp.m2_relset_1 @t50 @t68 @t61)) % 0.32/0.60 (define @t135 () (tptp.v1_funct_2 @t50 @t68 @t61)) % 0.32/0.60 (define @t136 () (and @t72 @t135 @t134)) % 0.32/0.60 (define @t137 () (=> @t136 @t133)) % 0.32/0.60 (define @t138 () (forall @t77 @t137)) % 0.32/0.60 (define @t139 () (=> @t119 @t138)) % 0.32/0.60 (define @t140 () (forall @t23 @t139)) % 0.32/0.60 (define @t141 () (=> @t122 @t140)) % 0.32/0.60 (define @t142 () (forall @t15 @t141)) % 0.32/0.60 (define @t143 () (tptp.k1_tarski @t1)) % 0.32/0.60 (define @t144 () (tptp.v1_funct_2 @t103 @t68 @t61)) % 0.32/0.60 (define @t145 () (tptp.v1_funct_1 @t103)) % 0.32/0.60 (define @t146 () (and @t6 @t78 @t72 @t71 @t76 @t107 @t106 (tptp.m1_relset_1 @t101 @t68 @t61))) % 0.32/0.60 (define @t147 () (@list @t1 @t18 @t50 @t101)) % 0.32/0.60 (define @t148 () (tptp.v1_funct_2 @t125 @t61 @t68)) % 0.32/0.60 (define @t149 () (tptp.v1_funct_1 @t125)) % 0.32/0.60 (define @t150 () (tptp.m1_relset_1 @t50 @t68 @t61)) % 0.32/0.60 (define @t151 () (tptp.v1_funct_2 @t2 @t61 @t61)) % 0.32/0.60 (define @t152 () (tptp.v1_funct_1 @t2)) % 0.32/0.60 (define @t153 () (and @t152 @t151 (tptp.m2_relset_1 @t2 @t61 @t61))) % 0.32/0.60 (define @t154 () (tptp.l1_struct_0 @t1)) % 0.32/0.60 (define @t155 () (forall @t15 (=> @t154 @t153))) % 0.32/0.60 (define @t156 () (forall @t15 (=> @t6 @t154))) % 0.32/0.60 (define @t157 () (tptp.m2_relset_1 @t50 @t1 @t18)) % 0.32/0.60 (define @t158 () (tptp.m1_relset_1 @t50 @t1 @t18)) % 0.32/0.60 (define @t159 () (tptp.m1_waybel_1 @t50 @t1 @t18)) % 0.32/0.60 (define @t160 () (tptp.v4_membered @t143)) % 0.32/0.60 (define @t161 () (tptp.v3_membered @t143)) % 0.32/0.60 (define @t162 () (tptp.v2_membered @t143)) % 0.32/0.60 (define @t163 () (tptp.v1_membered @t143)) % 0.32/0.60 (define @t164 () (tptp.v1_int_1 @t1)) % 0.32/0.60 (define @t165 () (tptp.v4_ordinal2 @t1)) % 0.32/0.60 (define @t166 () (tptp.v1_membered @t100)) % 0.32/0.60 (define @t167 () (tptp.v1_xcmplx_0 @t1)) % 0.32/0.60 (define @t168 () (tptp.v2_membered @t100)) % 0.32/0.60 (define @t169 () (tptp.v1_xreal_0 @t1)) % 0.32/0.60 (define @t170 () (tptp.v3_membered @t100)) % 0.32/0.60 (define @t171 () (tptp.v1_rat_1 @t1)) % 0.32/0.60 (define @t172 () (tptp.v4_membered @t100)) % 0.32/0.60 (define @t173 () (not (tptp.v1_xboole_0 @t143))) % 0.32/0.60 (define @t174 () (and @t28 @t154)) % 0.32/0.60 (define @t175 () (not (tptp.v1_xboole_0 @t100))) % 0.32/0.60 (define @t176 () (tptp.v23_waybel_0 @t2 @t1 @t1)) % 0.32/0.60 (define @t177 () (tptp.v1_relat_1 @t2)) % 0.32/0.60 (define @t178 () (and @t177 @t152 @t151 @t176)) % 0.32/0.60 (define @t179 () (forall @t15 (=> @t6 @t178))) % 0.32/0.60 (define @t180 () (tptp.v2_funct_1 @t2)) % 0.32/0.60 (define @t181 () (tptp.v6_waybel_1 @t2 @t1)) % 0.32/0.60 (define @t182 () (tptp.v5_orders_3 @t2 @t1 @t1)) % 0.32/0.60 (define @t183 () (tptp.v1_partfun1 @t2 @t61 @t61)) % 0.32/0.60 (define @t184 () (not (tptp.v1_xboole_0 @t2))) % 0.32/0.60 (define @t185 () (tptp.v8_waybel_1 @t2 @t1)) % 0.32/0.60 (define @t186 () (tptp.v7_waybel_1 @t2 @t1)) % 0.32/0.60 (define @t187 () (and @t177 @t152 @t180 @t184 @t151 @t183 (tptp.v11_quantal1 @t2) @t182 (tptp.v17_waybel_0 @t2 @t1 @t1) (tptp.v18_waybel_0 @t2 @t1 @t1) (tptp.v19_waybel_0 @t2 @t1 @t1) (tptp.v20_waybel_0 @t2 @t1 @t1) (tptp.v21_waybel_0 @t2 @t1 @t1) (tptp.v22_waybel_0 @t2 @t1 @t1) @t176 @t181 @t186 @t185)) % 0.32/0.60 (define @t188 () (and @t28 @t12 @t6)) % 0.32/0.60 (define @t189 () (forall @t15 (=> @t188 @t187))) % 0.32/0.60 (define @t190 () (tptp.v1_relat_1 @t18)) % 0.32/0.60 (define @t191 () (tptp.m1_subset_1 @t1 @t18)) % 0.32/0.60 (define @t192 () (tptp.m1_subset_1 @t18 (tptp.k1_zfmisc_1 @t50))) % 0.32/0.60 (define @t193 () (tptp.v3_waybel_1 (tptp.k1_waybel_1 @t1 @t1 @t2 @t2) @t1 @t1)) % 0.32/0.60 (define @t194 () (forall @t15 (=> @t67 @t193))) % 0.32/0.60 (define @t195 () (and (= @t2 @t4) (= @t2 @t3))) % 0.32/0.60 (define @t196 () (not @t6)) % 0.32/0.60 (define @t197 () (not @t7)) % 0.32/0.60 (define @t198 () (not @t8)) % 0.32/0.60 (define @t199 () (not @t9)) % 0.32/0.60 (define @t200 () (not @t10)) % 0.32/0.60 (define @t201 () (not @t11)) % 0.32/0.60 (define @t202 () (not @t12)) % 0.32/0.60 (define @t203 () (or @t202 @t201 @t200 @t199 @t198 @t197 @t196 @t195)) % 0.32/0.60 (define @t204 () (or @t202 @t201 @t200 @t199 @t198 @t197 @t196)) % 0.32/0.60 (define @t205 () (@quantifiers_skolemize (forall @t15 @t203) 0)) % 0.32/0.60 (define @t206 () (tptp.k7_grcat_1 @t205)) % 0.32/0.60 (define @t207 () (= @t206 (tptp.k2_waybel34 @t205 @t205 @t206))) % 0.32/0.60 (define @t208 () (= @t206 (tptp.k1_waybel34 @t205 @t205 @t206))) % 0.32/0.60 (define @t209 () (and @t208 @t207)) % 0.32/0.60 (define @t210 () (tptp.l1_orders_2 @t205)) % 0.32/0.60 (define @t211 () (not @t210)) % 0.32/0.60 (define @t212 () (tptp.v3_lattice3 @t205)) % 0.32/0.60 (define @t213 () (not @t212)) % 0.32/0.60 (define @t214 () (tptp.v2_lattice3 @t205)) % 0.32/0.60 (define @t215 () (not @t214)) % 0.32/0.60 (define @t216 () (tptp.v1_lattice3 @t205)) % 0.32/0.60 (define @t217 () (not @t216)) % 0.32/0.60 (define @t218 () (tptp.v4_orders_2 @t205)) % 0.32/0.60 (define @t219 () (not @t218)) % 0.32/0.60 (define @t220 () (tptp.v3_orders_2 @t205)) % 0.32/0.60 (define @t221 () (not @t220)) % 0.32/0.60 (define @t222 () (tptp.v2_orders_2 @t205)) % 0.32/0.60 (define @t223 () (not @t222)) % 0.32/0.60 (define @t224 () (or @t223 @t221 @t219 @t217 @t215 @t213 @t211 @t209)) % 0.32/0.60 (define @t225 () (@list true)) % 0.32/0.60 (define @t226 () (@list @t224)) % 0.32/0.60 (define @t227 () (@var "BOUND_VARIABLE_8980" $$unsorted)) % 0.32/0.60 (define @t228 () (@var "BOUND_VARIABLE_8978" $$unsorted)) % 0.32/0.60 (define @t229 () (@var "BOUND_VARIABLE_8982" $$unsorted)) % 0.32/0.60 (define @t230 () (= (tptp.v3_waybel_1 (tptp.k1_waybel_1 @t1 @t228 @t227 @t229) @t1 @t228) (= @t229 (tptp.k1_waybel34 @t1 @t228 @t227)))) % 0.32/0.60 (define @t231 () (tptp.u1_struct_0 @t228)) % 0.32/0.60 (define @t232 () (not (tptp.m2_relset_1 @t229 @t231 @t61))) % 0.32/0.60 (define @t233 () (not (tptp.v1_funct_2 @t229 @t231 @t61))) % 0.32/0.60 (define @t234 () (not (tptp.v1_funct_1 @t229))) % 0.32/0.60 (define @t235 () (not (tptp.v17_waybel_0 @t227 @t1 @t228))) % 0.32/0.60 (define @t236 () (not (tptp.m2_relset_1 @t227 @t61 @t231))) % 0.32/0.60 (define @t237 () (not (tptp.v1_funct_2 @t227 @t61 @t231))) % 0.32/0.60 (define @t238 () (not (tptp.v1_funct_1 @t227))) % 0.32/0.60 (define @t239 () (not (tptp.v3_lattice3 @t228))) % 0.32/0.60 (define @t240 () (not (tptp.l1_orders_2 @t228))) % 0.32/0.60 (define @t241 () (not (tptp.v2_lattice3 @t228))) % 0.32/0.60 (define @t242 () (not (tptp.v1_lattice3 @t228))) % 0.32/0.60 (define @t243 () (not (tptp.v4_orders_2 @t228))) % 0.32/0.60 (define @t244 () (not (tptp.v3_orders_2 @t228))) % 0.32/0.60 (define @t245 () (not (tptp.v2_orders_2 @t228))) % 0.32/0.60 (define @t246 () (or @t202 @t201 @t200 @t199 @t198 @t196 @t197 @t245 @t244 @t243 @t242 @t241 @t240 @t239 @t238 @t237 @t236 @t235 @t234 @t233 @t232 @t230)) % 0.32/0.60 (define @t247 () (or @t245 @t244 @t243 @t242 @t241 @t240 @t239 @t238 @t237 @t236 @t235 @t234 @t233 @t232 @t230)) % 0.32/0.60 (define @t248 () (or @t202 @t201 @t200 @t199 @t198 @t196 @t197 @t247)) % 0.32/0.60 (define @t249 () (@list @t1 @t228 @t227 @t229)) % 0.32/0.60 (define @t250 () (forall @t249 @t248)) % 0.32/0.60 (define @t251 () (@list @t228 @t227 @t229)) % 0.32/0.60 (define @t252 () (forall @t251 @t248)) % 0.32/0.60 (define @t253 () (forall @t251 @t247)) % 0.32/0.60 (define @t254 () (@var "BOUND_VARIABLE_8941" $$unsorted)) % 0.32/0.60 (define @t255 () (@var "BOUND_VARIABLE_8939" $$unsorted)) % 0.32/0.60 (define @t256 () (or @t202 @t201 @t200 @t199 @t198 @t196 @t197 @t253)) % 0.32/0.60 (define @t257 () (tptp.k1_waybel34 @t1 @t18 @t255)) % 0.32/0.60 (define @t258 () (tptp.v3_waybel_1 (tptp.k1_waybel_1 @t1 @t18 @t255 @t254) @t1 @t18)) % 0.32/0.60 (define @t259 () (not (tptp.m2_relset_1 @t254 @t68 @t61))) % 0.32/0.60 (define @t260 () (not (tptp.v1_funct_2 @t254 @t68 @t61))) % 0.32/0.60 (define @t261 () (not (tptp.v1_funct_1 @t254))) % 0.32/0.60 (define @t262 () (not (tptp.v17_waybel_0 @t255 @t1 @t18))) % 0.32/0.60 (define @t263 () (not (tptp.m2_relset_1 @t255 @t61 @t68))) % 0.32/0.60 (define @t264 () (not (tptp.v1_funct_2 @t255 @t61 @t68))) % 0.32/0.60 (define @t265 () (not (tptp.v1_funct_1 @t255))) % 0.32/0.60 (define @t266 () (not @t111)) % 0.32/0.60 (define @t267 () (not @t78)) % 0.32/0.60 (define @t268 () (not @t83)) % 0.32/0.60 (define @t269 () (not @t118)) % 0.32/0.60 (define @t270 () (not @t79)) % 0.32/0.60 (define @t271 () (not @t84)) % 0.32/0.60 (define @t272 () (not @t80)) % 0.32/0.60 (define @t273 () (@list @t18 @t255 @t254)) % 0.32/0.60 (define @t274 () (forall @t273 (or @t272 @t271 @t270 @t269 @t268 @t267 @t266 @t265 @t264 @t263 @t262 @t261 @t260 @t259 (= @t258 (= @t254 @t257))))) % 0.32/0.60 (define @t275 () (or @t202 @t201 @t200 @t199 @t198 @t196 @t197 @t274)) % 0.32/0.60 (define @t276 () (or @t197 @t274)) % 0.32/0.60 (define @t277 () (or @t202 @t201 @t200 @t199 @t198 @t196)) % 0.32/0.60 (define @t278 () (not @t122)) % 0.32/0.60 (define @t279 () (= @t258 (= @t257 @t254))) % 0.32/0.60 (define @t280 () (or @t272 @t271 @t270 @t269 @t268 @t267 @t266 @t265 @t264 @t263 @t262 @t261 @t260 @t259 @t279)) % 0.32/0.60 (define @t281 () (or @t265 @t264 @t263 @t262 @t261 @t260 @t259 @t279)) % 0.32/0.60 (define @t282 () (or @t272 @t271 @t270 @t269 @t268 @t267 @t266 @t281)) % 0.32/0.60 (define @t283 () (forall @t273 @t282)) % 0.32/0.60 (define @t284 () (@list @t255 @t254)) % 0.32/0.60 (define @t285 () (forall @t284 @t282)) % 0.32/0.60 (define @t286 () (forall @t284 @t281)) % 0.32/0.60 (define @t287 () (@var "BOUND_VARIABLE_8906" $$unsorted)) % 0.32/0.60 (define @t288 () (or @t272 @t271 @t270 @t269 @t268 @t267 @t266 @t286)) % 0.32/0.60 (define @t289 () (= @t103 @t287)) % 0.32/0.60 (define @t290 () (tptp.v3_waybel_1 (tptp.k1_waybel_1 @t1 @t18 @t50 @t287) @t1 @t18)) % 0.32/0.60 (define @t291 () (not (tptp.m2_relset_1 @t287 @t68 @t61))) % 0.32/0.60 (define @t292 () (not (tptp.v1_funct_2 @t287 @t68 @t61))) % 0.32/0.60 (define @t293 () (not (tptp.v1_funct_1 @t287))) % 0.32/0.60 (define @t294 () (not @t86)) % 0.32/0.60 (define @t295 () (not @t114)) % 0.32/0.60 (define @t296 () (not @t71)) % 0.32/0.60 (define @t297 () (not @t72)) % 0.32/0.60 (define @t298 () (@list @t50 @t287)) % 0.32/0.60 (define @t299 () (forall @t298 (or @t297 @t296 @t295 @t294 @t293 @t292 @t291 (= @t290 @t289)))) % 0.32/0.60 (define @t300 () (or @t272 @t271 @t270 @t269 @t268 @t267 @t266 @t299)) % 0.32/0.60 (define @t301 () (forall @t23 @t300)) % 0.32/0.60 (define @t302 () (or @t197 @t301)) % 0.32/0.60 (define @t303 () (or @t197 @t300)) % 0.32/0.60 (define @t304 () (or @t272 @t271 @t270 @t269 @t268 @t267 @t197 @t266 @t299)) % 0.32/0.60 (define @t305 () (or @t197 @t266 @t299)) % 0.32/0.60 (define @t306 () (or @t272 @t271 @t270 @t269 @t268 @t267)) % 0.32/0.60 (define @t307 () (not @t119)) % 0.32/0.60 (define @t308 () (= (= @t287 @t103) @t290)) % 0.32/0.60 (define @t309 () (or @t297 @t296 @t295 @t294 @t293 @t292 @t291 @t308)) % 0.32/0.60 (define @t310 () (or @t293 @t292 @t291 @t308)) % 0.32/0.60 (define @t311 () (or @t297 @t296 @t295 @t294 @t310)) % 0.32/0.60 (define @t312 () (forall @t298 @t311)) % 0.32/0.60 (define @t313 () (@list @t287)) % 0.32/0.60 (define @t314 () (forall @t313 @t311)) % 0.32/0.60 (define @t315 () (forall @t313 @t310)) % 0.32/0.60 (define @t316 () (@list @t101)) % 0.32/0.60 (define @t317 () (or @t297 @t296 @t295 @t294 @t315)) % 0.32/0.60 (define @t318 () (not @t105)) % 0.32/0.60 (define @t319 () (not @t106)) % 0.32/0.60 (define @t320 () (not @t107)) % 0.32/0.60 (define @t321 () (or @t320 @t319 @t318 @t104)) % 0.32/0.60 (define @t322 () (forall @t109 @t321)) % 0.32/0.60 (define @t323 () (or @t297 @t296 @t295 @t294 @t322)) % 0.32/0.60 (define @t324 () (forall @t77 @t323)) % 0.32/0.60 (define @t325 () (or @t197 @t266 @t324)) % 0.32/0.60 (define @t326 () (or @t197 @t266 @t323)) % 0.32/0.60 (define @t327 () (or @t297 @t296 @t295 @t197 @t266 @t294 @t322)) % 0.32/0.60 (define @t328 () (or @t197 @t266 @t294 @t322)) % 0.32/0.60 (define @t329 () (or @t297 @t296 @t295)) % 0.32/0.60 (define @t330 () (or @t197 @t266 @t294)) % 0.32/0.60 (define @t331 () (=> @t112 @t322)) % 0.32/0.60 (define @t332 () (or @t320 @t319 @t318)) % 0.32/0.60 (define @t333 () (tptp.v3_waybel_1 (tptp.k1_waybel_1 @t205 @t205 @t206 @t206) @t205 @t205)) % 0.32/0.60 (define @t334 () (tptp.u1_struct_0 @t205)) % 0.32/0.60 (define @t335 () (tptp.m2_relset_1 @t206 @t334 @t334)) % 0.32/0.60 (define @t336 () (not @t335)) % 0.32/0.60 (define @t337 () (tptp.v1_funct_2 @t206 @t334 @t334)) % 0.32/0.60 (define @t338 () (not @t337)) % 0.32/0.60 (define @t339 () (tptp.v1_funct_1 @t206)) % 0.32/0.60 (define @t340 () (not @t339)) % 0.32/0.60 (define @t341 () (tptp.v17_waybel_0 @t206 @t205 @t205)) % 0.32/0.60 (define @t342 () (not @t341)) % 0.32/0.60 (define @t343 () (or @t223 @t221 @t219 @t217 @t215 @t211 @t213 @t223 @t221 @t219 @t217 @t215 @t211 @t213 @t340 @t338 @t336 @t342 @t340 @t338 @t336 (= @t333 @t208))) % 0.32/0.60 (define @t344 () (forall @t249 @t246)) % 0.32/0.60 (define @t345 () (@list @t205 @t205 @t206 @t206)) % 0.32/0.60 (define @t346 () (= @t208 @t333)) % 0.32/0.60 (define @t347 () (or @t223 @t221 @t219 @t217 @t215 @t211 @t213 @t223 @t221 @t219 @t217 @t215 @t211 @t213 @t340 @t338 @t336 @t342 @t340 @t338 @t336 @t346)) % 0.32/0.60 (define @t348 () (@list false)) % 0.32/0.60 (define @t349 () (@list @t205)) % 0.32/0.60 (define @t350 () (tptp.l1_struct_0 @t205)) % 0.32/0.60 (define @t351 () (or @t211 @t350)) % 0.32/0.60 (define @t352 () (@list false false)) % 0.32/0.60 (define @t353 () (and @t339 @t337 @t335)) % 0.32/0.60 (define @t354 () (not @t350)) % 0.32/0.60 (define @t355 () (or @t354 @t353)) % 0.32/0.60 (define @t356 () (not @t28)) % 0.32/0.60 (define @t357 () (or @t356 @t202 @t196)) % 0.32/0.60 (define @t358 () (tptp.v3_struct_0 @t205)) % 0.32/0.60 (define @t359 () (not @t358)) % 0.32/0.60 (define @t360 () (or @t211 @t217 @t359)) % 0.32/0.60 (define @t361 () (tptp.v23_waybel_0 @t206 @t205 @t205)) % 0.32/0.60 (define @t362 () (tptp.v18_waybel_0 @t206 @t205 @t205)) % 0.32/0.60 (define @t363 () (tptp.v1_relat_1 @t206)) % 0.32/0.60 (define @t364 () (and @t363 @t339 (tptp.v2_funct_1 @t206) (not (tptp.v1_xboole_0 @t206)) @t337 (tptp.v1_partfun1 @t206 @t334 @t334) (tptp.v11_quantal1 @t206) (tptp.v5_orders_3 @t206 @t205 @t205) @t341 @t362 (tptp.v19_waybel_0 @t206 @t205 @t205) (tptp.v20_waybel_0 @t206 @t205 @t205) (tptp.v21_waybel_0 @t206 @t205 @t205) (tptp.v22_waybel_0 @t206 @t205 @t205) @t361 (tptp.v6_waybel_1 @t206 @t205) (tptp.v7_waybel_1 @t206 @t205) (tptp.v8_waybel_1 @t206 @t205))) % 0.32/0.60 (define @t365 () (or @t358 @t223 @t211 @t364)) % 0.32/0.60 (define @t366 () (not @t364)) % 0.32/0.60 (define @t367 () (@list @t364)) % 0.32/0.60 (define @t368 () (and @t363 @t339 @t337 @t361)) % 0.32/0.60 (define @t369 () (or @t211 @t368)) % 0.32/0.60 (define @t370 () (not @t368)) % 0.32/0.60 (define @t371 () (@list @t368)) % 0.32/0.60 (define @t372 () (@list false false false false false false false false false false false false)) % 0.32/0.60 (define @t373 () (or @t358 @t211 @t333)) % 0.32/0.60 (define @t374 () (not @t333)) % 0.32/0.60 (define @t375 () (@var "BOUND_VARIABLE_9116" $$unsorted)) % 0.32/0.60 (define @t376 () (@var "BOUND_VARIABLE_9114" $$unsorted)) % 0.32/0.60 (define @t377 () (@var "BOUND_VARIABLE_9118" $$unsorted)) % 0.32/0.60 (define @t378 () (= (tptp.v3_waybel_1 (tptp.k1_waybel_1 @t1 @t376 @t377 @t375) @t1 @t376) (= @t377 (tptp.k2_waybel34 @t1 @t376 @t375)))) % 0.32/0.60 (define @t379 () (tptp.u1_struct_0 @t376)) % 0.32/0.60 (define @t380 () (not (tptp.m2_relset_1 @t377 @t61 @t379))) % 0.32/0.60 (define @t381 () (not (tptp.v1_funct_2 @t377 @t61 @t379))) % 0.32/0.60 (define @t382 () (not (tptp.v1_funct_1 @t377))) % 0.32/0.60 (define @t383 () (not (tptp.v18_waybel_0 @t375 @t376 @t1))) % 0.32/0.60 (define @t384 () (not (tptp.m2_relset_1 @t375 @t379 @t61))) % 0.32/0.60 (define @t385 () (not (tptp.v1_funct_2 @t375 @t379 @t61))) % 0.32/0.60 (define @t386 () (not (tptp.v1_funct_1 @t375))) % 0.32/0.60 (define @t387 () (not (tptp.v3_lattice3 @t376))) % 0.32/0.60 (define @t388 () (not (tptp.l1_orders_2 @t376))) % 0.32/0.60 (define @t389 () (not (tptp.v2_lattice3 @t376))) % 0.32/0.60 (define @t390 () (not (tptp.v1_lattice3 @t376))) % 0.32/0.60 (define @t391 () (not (tptp.v4_orders_2 @t376))) % 0.32/0.60 (define @t392 () (not (tptp.v3_orders_2 @t376))) % 0.32/0.60 (define @t393 () (not (tptp.v2_orders_2 @t376))) % 0.32/0.60 (define @t394 () (or @t202 @t201 @t200 @t199 @t198 @t196 @t197 @t393 @t392 @t391 @t390 @t389 @t388 @t387 @t386 @t385 @t384 @t383 @t382 @t381 @t380 @t378)) % 0.32/0.60 (define @t395 () (or @t393 @t392 @t391 @t390 @t389 @t388 @t387 @t386 @t385 @t384 @t383 @t382 @t381 @t380 @t378)) % 0.32/0.60 (define @t396 () (or @t202 @t201 @t200 @t199 @t198 @t196 @t197 @t395)) % 0.32/0.60 (define @t397 () (@list @t1 @t376 @t375 @t377)) % 0.32/0.60 (define @t398 () (forall @t397 @t396)) % 0.32/0.60 (define @t399 () (@list @t376 @t375 @t377)) % 0.32/0.60 (define @t400 () (forall @t399 @t396)) % 0.32/0.60 (define @t401 () (forall @t399 @t395)) % 0.32/0.60 (define @t402 () (@var "BOUND_VARIABLE_9079" $$unsorted)) % 0.32/0.60 (define @t403 () (@var "BOUND_VARIABLE_9077" $$unsorted)) % 0.32/0.60 (define @t404 () (or @t202 @t201 @t200 @t199 @t198 @t196 @t197 @t401)) % 0.32/0.60 (define @t405 () (tptp.k2_waybel34 @t1 @t18 @t403)) % 0.32/0.60 (define @t406 () (tptp.v3_waybel_1 (tptp.k1_waybel_1 @t1 @t18 @t402 @t403) @t1 @t18)) % 0.32/0.60 (define @t407 () (not (tptp.m2_relset_1 @t402 @t61 @t68))) % 0.32/0.60 (define @t408 () (not (tptp.v1_funct_2 @t402 @t61 @t68))) % 0.32/0.60 (define @t409 () (not (tptp.v1_funct_1 @t402))) % 0.32/0.60 (define @t410 () (not (tptp.v18_waybel_0 @t403 @t18 @t1))) % 0.32/0.60 (define @t411 () (not (tptp.m2_relset_1 @t403 @t68 @t61))) % 0.32/0.60 (define @t412 () (not (tptp.v1_funct_2 @t403 @t68 @t61))) % 0.32/0.60 (define @t413 () (not (tptp.v1_funct_1 @t403))) % 0.32/0.60 (define @t414 () (@list @t18 @t403 @t402)) % 0.32/0.60 (define @t415 () (forall @t414 (or @t272 @t271 @t270 @t269 @t268 @t267 @t266 @t413 @t412 @t411 @t410 @t409 @t408 @t407 (= @t406 (= @t402 @t405))))) % 0.32/0.60 (define @t416 () (or @t202 @t201 @t200 @t199 @t198 @t196 @t197 @t415)) % 0.32/0.60 (define @t417 () (or @t197 @t415)) % 0.32/0.60 (define @t418 () (= @t406 (= @t405 @t402))) % 0.32/0.60 (define @t419 () (or @t272 @t271 @t270 @t269 @t268 @t267 @t266 @t413 @t412 @t411 @t410 @t409 @t408 @t407 @t418)) % 0.32/0.60 (define @t420 () (or @t413 @t412 @t411 @t410 @t409 @t408 @t407 @t418)) % 0.32/0.60 (define @t421 () (or @t272 @t271 @t270 @t269 @t268 @t267 @t266 @t420)) % 0.32/0.60 (define @t422 () (forall @t414 @t421)) % 0.32/0.60 (define @t423 () (@list @t403 @t402)) % 0.32/0.60 (define @t424 () (forall @t423 @t421)) % 0.32/0.60 (define @t425 () (forall @t423 @t420)) % 0.32/0.60 (define @t426 () (@var "BOUND_VARIABLE_9047" $$unsorted)) % 0.32/0.60 (define @t427 () (or @t272 @t271 @t270 @t269 @t268 @t267 @t266 @t425)) % 0.32/0.60 (define @t428 () (= @t125 @t426)) % 0.32/0.60 (define @t429 () (tptp.v3_waybel_1 (tptp.k1_waybel_1 @t1 @t18 @t426 @t50) @t1 @t18)) % 0.32/0.60 (define @t430 () (not (tptp.m2_relset_1 @t426 @t61 @t68))) % 0.32/0.60 (define @t431 () (not (tptp.v1_funct_2 @t426 @t61 @t68))) % 0.32/0.60 (define @t432 () (not (tptp.v1_funct_1 @t426))) % 0.32/0.60 (define @t433 () (not @t131)) % 0.32/0.60 (define @t434 () (not @t134)) % 0.32/0.60 (define @t435 () (not @t135)) % 0.32/0.60 (define @t436 () (@list @t50 @t426)) % 0.32/0.60 (define @t437 () (forall @t436 (or @t297 @t435 @t434 @t433 @t432 @t431 @t430 (= @t429 @t428)))) % 0.32/0.60 (define @t438 () (or @t272 @t271 @t270 @t269 @t268 @t267 @t266 @t437)) % 0.32/0.60 (define @t439 () (forall @t23 @t438)) % 0.32/0.60 (define @t440 () (or @t197 @t439)) % 0.32/0.60 (define @t441 () (or @t197 @t438)) % 0.32/0.60 (define @t442 () (or @t272 @t271 @t270 @t269 @t268 @t267 @t197 @t266 @t437)) % 0.32/0.60 (define @t443 () (or @t197 @t266 @t437)) % 0.32/0.60 (define @t444 () (= (= @t426 @t125) @t429)) % 0.32/0.60 (define @t445 () (or @t297 @t435 @t434 @t433 @t432 @t431 @t430 @t444)) % 0.32/0.60 (define @t446 () (or @t432 @t431 @t430 @t444)) % 0.32/0.60 (define @t447 () (or @t297 @t435 @t434 @t433 @t446)) % 0.32/0.60 (define @t448 () (forall @t436 @t447)) % 0.32/0.60 (define @t449 () (@list @t426)) % 0.32/0.60 (define @t450 () (forall @t449 @t447)) % 0.32/0.60 (define @t451 () (forall @t449 @t446)) % 0.32/0.60 (define @t452 () (or @t297 @t435 @t434 @t433 @t451)) % 0.32/0.60 (define @t453 () (not @t127)) % 0.32/0.60 (define @t454 () (not @t128)) % 0.32/0.60 (define @t455 () (or @t320 @t454 @t453 @t126)) % 0.32/0.60 (define @t456 () (forall @t109 @t455)) % 0.32/0.60 (define @t457 () (or @t297 @t435 @t434 @t433 @t456)) % 0.32/0.60 (define @t458 () (forall @t77 @t457)) % 0.32/0.60 (define @t459 () (or @t197 @t266 @t458)) % 0.32/0.60 (define @t460 () (or @t197 @t266 @t457)) % 0.32/0.60 (define @t461 () (or @t297 @t435 @t434 @t197 @t266 @t433 @t456)) % 0.32/0.60 (define @t462 () (or @t197 @t266 @t433 @t456)) % 0.32/0.60 (define @t463 () (or @t297 @t435 @t434)) % 0.32/0.60 (define @t464 () (or @t197 @t266 @t433)) % 0.32/0.60 (define @t465 () (=> @t132 @t456)) % 0.32/0.60 (define @t466 () (or @t320 @t454 @t453)) % 0.32/0.60 (define @t467 () (not @t362)) % 0.32/0.60 (define @t468 () (or @t223 @t221 @t219 @t217 @t215 @t211 @t213 @t223 @t221 @t219 @t217 @t215 @t211 @t213 @t340 @t338 @t336 @t467 @t340 @t338 @t336 (= @t333 @t207))) % 0.32/0.60 (define @t469 () (forall @t397 @t394)) % 0.32/0.60 (define @t470 () (= @t207 @t333)) % 0.32/0.60 (define @t471 () (or @t223 @t221 @t219 @t217 @t215 @t211 @t213 @t223 @t221 @t219 @t217 @t215 @t211 @t213 @t340 @t338 @t336 @t467 @t340 @t338 @t336 @t470)) % 0.32/0.60 (assume @p1 @t17) % 0.32/0.60 (assume @p2 (forall @t20 (=> @t19 (not (tptp.r2_hidden @t18 @t1))))) % 0.32/0.60 (assume @p3 (forall @t15 (=> @t24 (forall @t23 (=> @t22 @t21))))) % 0.32/0.60 (assume @p4 (forall @t15 (=> @t6 (=> (and @t28 @t12 @t7) (and @t28 @t12 @t26 @t25))))) % 0.32/0.60 (assume @p5 (forall @t15 (=> @t30 (forall @t23 (=> @t22 (and @t21 @t29)))))) % 0.32/0.60 (assume @p6 (forall @t15 (=> @t6 (=> (and @t28 @t12 @t25) (and @t28 @t12 @t31))))) % 0.32/0.60 (assume @p7 (forall @t15 (=> @t33 (forall @t23 (=> @t22 (and @t21 @t29 @t32)))))) % 0.32/0.60 (assume @p8 (forall @t15 (=> @t6 (=> (and @t28 @t12 @t11 @t10 @t9 @t31 @t26) (and @t28 @t12 @t11 @t10 @t9 @t8 @t7 @t31 @t35 @t34))))) % 0.32/0.60 (assume @p9 (forall @t15 (=> @t37 (forall @t23 (=> @t22 (and @t21 @t29 @t36 @t32)))))) % 0.32/0.60 (assume @p10 (forall @t15 (=> @t6 (=> (and @t28 @t12 @t10 @t25) (and @t28 @t12 @t10 @t8))))) % 0.32/0.60 (assume @p11 (forall @t15 (=> @t39 (forall @t23 (=> @t22 (and @t21 @t38 @t29 @t36 @t32)))))) % 0.32/0.60 (assume @p12 (forall @t15 (=> @t6 (=> (and @t28 @t12 @t10 @t35 @t25) (and @t28 @t12 @t10 @t9 @t35))))) % 0.32/0.60 (assume @p13 (forall @t15 (=> @t40 (and @t24 @t30 @t33 @t37 @t39)))) % 0.32/0.60 (assume @p14 (forall @t15 (=> @t24 (forall @t23 (=> @t42 @t41))))) % 0.32/0.60 (assume @p15 (forall @t15 (=> @t30 (forall @t23 (=> @t42 (and @t41 @t43)))))) % 0.32/0.60 (assume @p16 (forall @t15 (=> @t33 (forall @t23 (=> @t42 (and @t41 @t43 @t44)))))) % 0.32/0.60 (assume @p17 (forall @t15 (=> @t37 (forall @t23 (=> @t42 (and @t41 @t43 @t44 @t45)))))) % 0.32/0.60 (assume @p18 (forall @t15 (=> @t40 @t46))) % 0.32/0.60 (assume @p19 (forall @t15 (=> @t40 @t47))) % 0.32/0.60 (assume @p20 @t49) % 0.32/0.60 (assume @p21 (forall @t15 (=> @t39 @t37))) % 0.32/0.60 (assume @p22 (forall @t54 (=> @t53 @t51))) % 0.32/0.60 (assume @p23 (forall @t15 (=> @t58 (forall @t23 (=> @t22 @t56))))) % 0.32/0.60 (assume @p24 (forall @t15 (=> @t67 (forall @t23 (=> @t66 (=> (and @t64 @t63 @t65) (and @t64 @t56 @t63 @t62 @t60 @t59))))))) % 0.32/0.60 (assume @p25 (forall @t20 (=> (and @t28 @t12 @t10 @t6 @t81 @t80 @t79 @t78) (forall @t77 (=> @t76 (=> (and @t72 @t71 @t75) (and @t74 @t72 @t71 @t70 @t69))))))) % 0.32/0.60 (assume @p26 (forall @t20 (=> (and @t12 @t11 @t10 @t8 @t6 @t80 @t84 @t79 @t83 @t78) (forall @t77 (=> @t76 (=> (and @t72 @t71 @t82) (and @t72 @t71 @t70))))))) % 0.32/0.60 (assume @p27 (forall @t20 (=> @t87 (forall @t77 (=> @t76 (=> (and @t72 @t71 (tptp.v4_waybel_1 @t50 @t1 @t18)) (and @t72 @t74 @t71 @t69 @t86 @t82 @t85))))))) % 0.32/0.60 (assume @p28 (forall @t15 (=> @t6 (=> @t88 (and @t28 @t9 @t8))))) % 0.32/0.60 (assume @p29 (forall @t15 (=> @t6 (=> (and @t28 @t12 @t11 @t10 @t35 @t26 @t25) (and @t28 @t12 @t11 @t10 @t31 @t35 @t34 @t26 @t25 @t9 @t8 @t7))))) % 0.32/0.60 (assume @p30 (forall @t15 (=> @t39 (forall @t23 (=> @t42 (and @t41 @t43 @t44 @t45 (tptp.v5_membered @t18))))))) % 0.32/0.60 (assume @p31 (forall @t15 (=> @t46 (forall @t23 (=> @t42 @t89))))) % 0.32/0.60 (assume @p32 (forall @t15 (=> @t92 @t91))) % 0.32/0.60 (assume @p33 (forall @t15 (=> @t6 (=> @t8 @t28)))) % 0.32/0.60 (assume @p34 (forall @t15 (=> @t37 @t33))) % 0.32/0.60 (assume @p35 (forall @t20 (=> @t87 (forall @t77 (=> @t76 (=> (and @t72 @t71 (tptp.v5_waybel_1 @t50 @t18 @t1)) (and @t72 @t74 @t71 @t69 @t94 @t93 @t75))))))) % 0.32/0.60 (assume @p36 (forall @t15 (=> @t33 @t30))) % 0.32/0.60 (assume @p37 (forall @t15 (=> @t67 (forall @t23 (=> @t66 (=> (and @t64 @t63 @t96) @t95)))))) % 0.32/0.60 (assume @p38 (forall @t15 (=> @t6 (=> @t88 (and @t28 @t34))))) % 0.32/0.60 (assume @p39 (forall @t15 (=> @t30 @t24))) % 0.32/0.60 (assume @p40 (forall @t15 (=> @t67 (forall @t23 (=> @t66 (=> (and @t64 @t63 @t97) @t95)))))) % 0.32/0.60 (assume @p41 (forall @t15 (=> @t6 (=> @t34 @t98)))) % 0.32/0.60 (assume @p42 (forall @t15 (=> @t6 (=> @t98 @t34)))) % 0.32/0.60 (assume @p43 (forall @t20 (=> @t99 (forall @t77 (=> @t76 (=> (and @t72 @t71 @t86) (and @t72 @t71 @t82 @t85))))))) % 0.32/0.60 (assume @p44 (forall @t20 (=> @t99 (forall @t77 (=> @t76 (=> (and @t72 @t71 @t94) (and @t72 @t71 @t93 @t75))))))) % 0.32/0.60 (assume @p45 (forall @t20 (=> @t99 (forall @t77 (=> @t76 (=> (and @t72 @t71 (tptp.v23_waybel_0 @t50 @t1 @t18)) (and @t72 (tptp.v2_funct_1 @t50) @t71 @t70))))))) % 0.32/0.60 (assume @p46 (forall @t15 (=> @t6 (=> (and @t12 @t9 @t26) (and @t28 @t12 @t9 @t35))))) % 0.32/0.60 (assume @p47 (forall @t20 (= @t100 (tptp.k2_tarski @t18 @t1)))) % 0.32/0.60 (assume @p48 @t124) % 0.32/0.60 (assume @p49 @t142) % 0.32/0.60 (assume @p50 (forall @t20 (= (tptp.k4_tarski @t1 @t18) (tptp.k2_tarski @t100 @t143)))) % 0.32/0.60 (assume @p51 true) % 0.32/0.60 (assume @p52 (forall @t54 (=> (and @t12 @t11 @t10 @t9 @t8 @t6 @t80 @t84 @t79 @t118 @t83 @t78 @t72 @t71 @t76) (and @t145 @t144 (tptp.m2_relset_1 @t103 @t68 @t61))))) % 0.32/0.60 (assume @p53 (forall @t147 (=> @t146 (tptp.m1_waybel_1 @t102 @t1 @t18)))) % 0.32/0.60 (assume @p54 (forall @t54 (=> (and @t12 @t11 @t10 @t9 @t8 @t6 @t80 @t84 @t79 @t118 @t83 @t78 @t72 @t135 @t150) (and @t149 @t148 (tptp.m2_relset_1 @t125 @t61 @t68))))) % 0.32/0.60 (assume @p55 @t155) % 0.32/0.60 (assume @p56 @t156) % 0.32/0.60 (assume @p57 (forall @t54 (=> @t157 @t53))) % 0.32/0.60 (assume @p58 (exists @t15 @t6)) % 0.32/0.60 (assume @p59 (exists @t15 @t154)) % 0.32/0.60 (assume @p60 (forall @t20 (exists @t77 @t158))) % 0.32/0.60 (assume @p61 (forall @t15 (exists @t23 @t22))) % 0.32/0.60 (assume @p62 (forall @t20 (=> (and @t6 @t78) (exists @t77 @t159)))) % 0.32/0.60 (assume @p63 (forall @t20 (exists @t77 @t157))) % 0.32/0.60 (assume @p64 (forall @t15 (=> @t164 (and @t163 @t162 @t161 @t160)))) % 0.32/0.60 (assume @p65 (forall @t15 (=> @t165 (and @t163 @t162 @t161 @t160 (tptp.v5_membered @t143))))) % 0.32/0.60 (assume @p66 (forall @t20 (=> (and @t167 @t21) @t166))) % 0.32/0.60 (assume @p67 (forall @t20 (=> (and @t169 @t29) (and @t166 @t168)))) % 0.32/0.60 (assume @p68 (forall @t20 (=> (and @t46 @t89) (tptp.v1_finset_1 @t52)))) % 0.32/0.60 (assume @p69 (forall @t20 (=> (and @t171 @t32) (and @t166 @t168 @t170)))) % 0.32/0.60 (assume @p70 (forall @t20 (=> (and @t164 @t36) (and @t166 @t168 @t170 @t172)))) % 0.32/0.60 (assume @p71 (forall @t20 (=> (and @t165 @t38) (and @t166 @t168 @t170 @t172 (tptp.v5_membered @t100))))) % 0.32/0.60 (assume @p72 (forall @t15 (and @t173 (tptp.v1_finset_1 @t143)))) % 0.32/0.60 (assume @p73 (forall @t15 (=> @t174 (not (tptp.v1_xboole_0 @t61))))) % 0.32/0.60 (assume @p74 (forall @t54 (=> (and @t12 @t11 @t10 @t9 @t8 @t7 @t6 @t80 @t84 @t79 @t118 @t83 @t111 @t78 @t72 @t71 @t86 @t76) (and (tptp.v1_relat_1 @t103) @t145 (not (tptp.v1_xboole_0 @t103)) @t144 (tptp.v1_partfun1 @t103 @t68 @t61) (tptp.v18_waybel_0 @t103 @t18 @t1) (tptp.v20_waybel_0 @t103 @t18 @t1) (tptp.v22_waybel_0 @t103 @t18 @t1) (tptp.v5_waybel_1 @t103 @t1 @t18) (tptp.v5_orders_3 @t103 @t18 @t1))))) % 0.32/0.60 (assume @p75 (forall @t20 (and @t175 (tptp.v1_finset_1 @t100)))) % 0.32/0.60 (assume @p76 (forall @t15 (=> @t57 (and @t173 (tptp.v1_setfam_1 @t143))))) % 0.32/0.60 (assume @p77 (forall @t54 (=> (and @t12 @t11 @t10 @t9 @t8 @t7 @t6 @t80 @t84 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(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))) % 0.32/0.60 (assume @p86 (forall @t15 (=> @t167 @t163))) % 0.32/0.60 (assume @p87 (forall @t15 (=> @t169 (and @t163 @t162)))) % 0.32/0.60 (assume @p88 (forall @t15 (=> @t171 (and @t163 @t162 @t161)))) % 0.32/0.60 (assume @p89 (exists @t15 (and @t57 @t46))) % 0.32/0.60 (assume @p90 (exists @t15 (and @t90 @t47))) % 0.32/0.60 (assume @p91 (forall @t20 (=> (and @t12 @t11 @t10 @t9 @t8 @t6 @t80 @t84 @t79 @t118 @t83 @t78) (exists @t77 (and @t76 @t51 @t72 @t71 @t82 @t93))))) % 0.32/0.60 (assume @p92 (exists @t15 (and @t57 @t24 @t30 @t33 @t37 @t39))) % 0.32/0.60 (assume @p93 (exists @t15 @t58)) % 0.32/0.60 (assume @p94 (forall @t20 (=> (and @t6 @t81 @t80 @t78) (exists @t77 (and @t76 @t51 @t72 @t71 @t69 @t70))))) % 0.32/0.60 (assume @p95 (forall @t20 (=> (and @t12 @t11 @t10 @t9 @t8 @t7 @t6 @t80 @t84 @t79 @t118 @t83 @t111 @t78) (exists @t77 (and @t159 (tptp.v3_waybel_1 @t50 @t1 @t18)))))) % 0.32/0.60 (assume @p96 (forall @t15 (=> @t67 (exists @t23 (and @t66 @t190 @t64 @t56 @t63 @t62 @t65))))) % 0.32/0.60 (assume @p97 (exists @t15 @t92)) % 0.32/0.60 (assume @p98 (forall @t15 (=> @t188 (exists @t23 (and @t66 @t190 @t64 (tptp.v2_funct_1 @t18) @t56 @t63 @t62 @t60 @t59 (tptp.v17_waybel_0 @t18 @t1 @t1) (tptp.v18_waybel_0 @t18 @t1 @t1) (tptp.v19_waybel_0 @t18 @t1 @t1) (tptp.v20_waybel_0 @t18 @t1 @t1) (tptp.v21_waybel_0 @t18 @t1 @t1) (tptp.v22_waybel_0 @t18 @t1 @t1) @t65 @t96 @t97))))) % 0.32/0.60 (assume @p99 (forall @t15 (=> @t188 (exists @t23 (and @t66 @t190 @t64 @t56 @t63 @t62 @t65 @t96))))) % 0.32/0.60 (assume @p100 (exists @t15 (and @t6 @t28 @t12 @t11 @t10 @t9 @t8 @t7 @t31 @t35 @t34))) % 0.32/0.60 (assume @p101 (forall @t15 (=> @t57 (exists @t23 (and @t42 @t56 @t89))))) % 0.32/0.60 (assume @p102 (exists @t15 @t91)) % 0.32/0.60 (assume @p103 (exists @t15 (and @t154 @t28))) % 0.32/0.60 (assume @p104 (forall @t15 (=> @t188 (exists @t23 (and @t66 @t190 @t64 @t56 @t63 @t62 @t65 @t97))))) % 0.32/0.60 (assume @p105 (forall @t20 (=> (and @t28 @t6 @t81 @t80 @t79 (tptp.v2_yellow_0 @t18) @t78) (exists @t77 (and @t76 @t51 @t72 @t74 @t71 @t86 @t82 @t85 @t69))))) % 0.32/0.60 (assume @p106 (forall @t20 (=> (and @t28 @t6 @t81 @t80 @t79 (tptp.v1_yellow_0 @t18) @t78) (exists @t77 (and @t76 @t51 @t72 @t74 @t71 @t94 @t93 @t75 @t69))))) % 0.32/0.60 (assume @p107 (forall @t15 (=> @t174 (exists @t23 (and (tptp.m1_subset_1 @t18 (tptp.k1_zfmisc_1 @t61)) @t56))))) % 0.32/0.60 (assume @p108 (forall @t147 (=> @t146 (= @t102 (tptp.k4_tarski @t50 @t101))))) % 0.32/0.60 (assume @p109 (forall @t54 (= @t157 @t158))) % 0.32/0.60 (assume @p110 (forall @t20 (tptp.r1_tarski @t1 @t1))) % 0.32/0.60 (assume @p111 (forall @t20 (=> @t19 @t191))) % 0.32/0.60 (assume @p112 (forall @t20 (=> @t191 (or @t55 @t19)))) % 0.32/0.60 (assume @p113 (forall @t20 (= (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t18)) (tptp.r1_tarski @t1 @t18)))) % 0.32/0.60 (assume @p114 (forall @t54 (=> (and @t19 @t192) (tptp.m1_subset_1 @t1 @t50)))) % 0.32/0.60 (assume @p115 (forall @t54 (not (and @t19 @t192 @t73)))) % 0.32/0.60 (assume @p116 (forall @t15 (=> @t40 (= @t1 tptp.k1_xboole_0)))) % 0.32/0.60 (assume @p117 @t194) % 0.32/0.60 (assume @p118 (forall @t20 (not (and @t19 @t55)))) % 0.32/0.60 (assume @p119 (forall @t20 (not (and @t40 (not (= @t1 @t18)) @t55)))) % 0.32/0.60 (step @p120 :rule aci_norm :args ((= (or @t204 @t195) @t203))) % 0.32/0.60 (step @p121 :rule refl :args (@t195)) % 0.32/0.60 (step @p122 :rule aci_norm :args ((= (or @t202 (or @t201 (or @t200 (or @t199 (or @t198 (or @t197 @t196)))))) @t204))) % 0.32/0.60 (step @p123 :rule bool-and-de-morgan :args (@t7 @t6 true)) % 0.32/0.60 (step @p124 :rule refl :args (@t198)) % 0.32/0.60 (step @p125 :rule nary_cong :premises (@p124 @p123) :args ((or @t198 (not (and @t7 @t6))))) % 0.32/0.60 (step @p126 :rule bool-and-de-morgan :args (@t8 @t7 (and @t6))) % 0.32/0.60 (step @p127 :rule trans :premises (@p126 @p125)) % 0.32/0.60 (step @p128 :rule refl :args (@t199)) % 0.32/0.60 (step @p129 :rule nary_cong :premises (@p128 @p127) :args ((or @t199 (not (and @t8 @t7 @t6))))) % 0.32/0.60 (step @p130 :rule bool-and-de-morgan :args (@t9 @t8 (and @t7 @t6))) % 0.32/0.60 (step @p131 :rule trans :premises (@p130 @p129)) % 0.32/0.60 (step @p132 :rule refl :args (@t200)) % 0.32/0.60 (step @p133 :rule nary_cong :premises (@p132 @p131) :args ((or @t200 (not (and @t9 @t8 @t7 @t6))))) % 0.32/0.60 (step @p134 :rule bool-and-de-morgan :args (@t10 @t9 (and @t8 @t7 @t6))) % 0.32/0.60 (step @p135 :rule trans :premises (@p134 @p133)) % 0.32/0.60 (step @p136 :rule refl :args (@t201)) % 0.32/0.60 (step @p137 :rule nary_cong :premises (@p136 @p135) :args ((or @t201 (not (and @t10 @t9 @t8 @t7 @t6))))) % 0.32/0.60 (step @p138 :rule bool-and-de-morgan :args (@t11 @t10 (and @t9 @t8 @t7 @t6))) % 0.32/0.60 (step @p139 :rule trans :premises (@p138 @p137)) % 0.32/0.60 (step @p140 :rule refl :args (@t202)) % 0.32/0.60 (step @p141 :rule nary_cong :premises (@p140 @p139) :args ((or @t202 (not (and @t11 @t10 @t9 @t8 @t7 @t6))))) % 0.32/0.60 (step @p142 :rule bool-and-de-morgan :args (@t12 @t11 (and @t10 @t9 @t8 @t7 @t6))) % 0.32/0.60 (step @p143 :rule trans :premises (@p142 @p141)) % 0.32/0.60 (step @p144 :rule trans :premises (@p143 @p122)) % 0.32/0.60 (step @p145 :rule nary_cong :premises (@p144 @p121) :args ((or (not @t13) @t195))) % 0.32/0.60 (step @p146 :rule trans :premises (@p145 @p120)) % 0.32/0.60 (step @p147 :rule bool-impl-elim :args (@t13 @t195)) % 0.32/0.60 (step @p148 :rule trans :premises (@p147 @p146)) % 0.32/0.60 (step @p149 :rule cong :premises (@p148) :args ((forall @t15 (=> @t13 @t195)))) % 0.32/0.60 (step @p150 :rule eq-symm :args (@t3 @t2)) % 0.32/0.60 (step @p151 :rule eq-symm :args (@t4 @t2)) % 0.32/0.60 (step @p152 :rule nary_cong :premises (@p151 @p150) :args (@t5)) % 0.32/0.60 (step @p153 :rule refl :args (@t13)) % 0.32/0.60 (step @p154 :rule cong :premises (@p153 @p152) :args (@t14)) % 0.32/0.60 (step @p155 :rule cong :premises (@p154) :args (@t16)) % 0.32/0.60 (step @p156 :rule trans :premises (@p155 @p149)) % 0.32/0.60 (step @p157 :rule cong :premises (@p156) :args (@t17)) % 0.32/0.60 (step @p158 :rule eq_resolve :premises (@p1 @p157)) % 0.32/0.60 (step @p159 :rule skolemize :premises (@p158)) % 0.32/0.60 (step @p160 :rule cnf_or_neg :args (@t224 7)) % 0.32/0.60 (step @p161 :rule chain_m_resolution :premises (@p160 @p159) :args ((not @t209) @t225 @t226)) % 0.32/0.60 (step @p162 :rule aci_norm :args ((= @t248 @t246))) % 0.32/0.60 (step @p163 :rule cong :premises (@p162) :args (@t250)) % 0.32/0.60 (step @p164 :rule quant-merge-prenex :args ((= (forall @t15 @t252) @t250))) % 0.32/0.60 (step @p165 :rule alpha_equiv :args (@t253 (@list @t228 @t227 @t229) (@list @t18 @t255 @t254))) % 0.32/0.60 (step @p166 :rule refl :args (@t197)) % 0.32/0.60 (step @p167 :rule refl :args (@t196)) % 0.32/0.60 (step @p168 :rule nary_cong :premises (@p140 @p136 @p132 @p128 @p124 @p167 @p166 @p165) :args (@t256)) % 0.32/0.60 (step @p169 :rule quant-miniscope-or :args ((= @t252 @t256))) % 0.32/0.60 (step @p170 :rule trans :premises (@p169 @p168)) % 0.32/0.60 (step @p171 :rule symm :premises (@p170)) % 0.32/0.60 (step @p172 :rule cong :premises (@p171) :args ((forall @t15 @t275))) % 0.32/0.60 (step @p173 :rule trans :premises (@p172 @p164)) % 0.32/0.60 (step @p174 :rule trans :premises (@p173 @p163)) % 0.32/0.60 (step @p175 :rule aci_norm :args ((= (or @t277 @t276) @t275))) % 0.32/0.60 (step @p176 :rule refl :args (@t276)) % 0.32/0.60 (step @p177 :rule aci_norm :args ((= (or @t202 (or @t201 (or @t200 (or @t199 (or @t198 @t196))))) @t277))) % 0.32/0.60 (step @p178 :rule bool-and-de-morgan :args (@t8 @t6 true)) % 0.32/0.60 (step @p179 :rule nary_cong :premises (@p128 @p178) :args ((or @t199 (not (and @t8 @t6))))) % 0.32/0.60 (step @p180 :rule bool-and-de-morgan :args (@t9 @t8 (and @t6))) % 0.32/0.60 (step @p181 :rule trans :premises (@p180 @p179)) % 0.32/0.60 (step @p182 :rule nary_cong :premises (@p132 @p181) :args ((or @t200 (not (and @t9 @t8 @t6))))) % 0.32/0.60 (step @p183 :rule bool-and-de-morgan :args (@t10 @t9 (and @t8 @t6))) % 0.32/0.60 (step @p184 :rule trans :premises (@p183 @p182)) % 0.32/0.60 (step @p185 :rule nary_cong :premises (@p136 @p184) :args ((or @t201 (not (and @t10 @t9 @t8 @t6))))) % 0.32/0.60 (step @p186 :rule bool-and-de-morgan :args (@t11 @t10 (and @t9 @t8 @t6))) % 0.32/0.60 (step @p187 :rule trans :premises (@p186 @p185)) % 0.32/0.60 (step @p188 :rule nary_cong :premises (@p140 @p187) :args ((or @t202 (not (and @t11 @t10 @t9 @t8 @t6))))) % 0.32/0.60 (step @p189 :rule bool-and-de-morgan :args (@t12 @t11 (and @t10 @t9 @t8 @t6))) % 0.32/0.60 (step @p190 :rule trans :premises (@p189 @p188)) % 0.32/0.60 (step @p191 :rule trans :premises (@p190 @p177)) % 0.32/0.60 (step @p192 :rule nary_cong :premises (@p191 @p176) :args ((or @t278 @t276))) % 0.32/0.60 (step @p193 :rule trans :premises (@p192 @p175)) % 0.32/0.60 (step @p194 :rule bool-impl-elim :args (@t122 @t276)) % 0.32/0.60 (step @p195 :rule trans :premises (@p194 @p193)) % 0.32/0.60 (step @p196 :rule cong :premises (@p195) :args ((forall @t15 (=> @t122 @t276)))) % 0.32/0.60 (step @p197 :rule trans :premises (@p196 @p174)) % 0.32/0.60 (step @p198 :rule eq-symm :args (@t257 @t254)) % 0.32/0.60 (step @p199 :rule refl :args (@t258)) % 0.32/0.60 (step @p200 :rule cong :premises (@p199 @p198) :args (@t279)) % 0.32/0.60 (step @p201 :rule refl :args (@t259)) % 0.32/0.60 (step @p202 :rule refl :args (@t260)) % 0.32/0.60 (step @p203 :rule refl :args (@t261)) % 0.32/0.60 (step @p204 :rule refl :args (@t262)) % 0.32/0.60 (step @p205 :rule refl :args (@t263)) % 0.32/0.60 (step @p206 :rule refl :args (@t264)) % 0.32/0.60 (step @p207 :rule refl :args (@t265)) % 0.32/0.60 (step @p208 :rule refl :args (@t266)) % 0.32/0.60 (step @p209 :rule refl :args (@t267)) % 0.32/0.60 (step @p210 :rule refl :args (@t268)) % 0.32/0.60 (step @p211 :rule refl :args (@t269)) % 0.32/0.60 (step @p212 :rule refl :args (@t270)) % 0.32/0.60 (step @p213 :rule refl :args (@t271)) % 0.32/0.60 (step @p214 :rule refl :args (@t272)) % 0.32/0.60 (step @p215 :rule nary_cong :premises (@p214 @p213 @p212 @p211 @p210 @p209 @p208 @p207 @p206 @p205 @p204 @p203 @p202 @p201 @p200) :args (@t280)) % 0.32/0.60 (step @p216 :rule aci_norm :args ((= @t282 @t280))) % 0.32/0.60 (step @p217 :rule trans :premises (@p216 @p215)) % 0.32/0.60 (step @p218 :rule cong :premises (@p217) :args (@t283)) % 0.32/0.60 (step @p219 :rule quant-merge-prenex :args ((= (forall @t23 @t285) @t283))) % 0.32/0.60 (step @p220 :rule alpha_equiv :args (@t286 (@list @t255 @t254) (@list @t50 @t287))) % 0.32/0.60 (step @p221 :rule refl :args (@t266)) % 0.32/0.60 (step @p222 :rule refl :args (@t267)) % 0.32/0.60 (step @p223 :rule refl :args (@t268)) % 0.32/0.60 (step @p224 :rule refl :args (@t269)) % 0.32/0.60 (step @p225 :rule refl :args (@t270)) % 0.32/0.60 (step @p226 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:args (@t362 @t348 @t367)) % 0.32/0.61 (step @p663 :rule cnf_or_pos :args (@t471)) % 0.32/0.61 (step @p664 :rule factoring :premises (@p663)) % 0.32/0.61 (step @p665 :rule reordering :premises (@p664) :args ((or @t223 @t221 @t219 @t217 @t215 @t213 @t211 @t340 @t338 @t467 @t336 @t470 (not @t471)))) % 0.32/0.61 (step @p666 :rule chain_m_resolution :premises (@p665 @p442 @p485 @p479 @p433 @p473 @p467 @p390 @p461 @p458 @p662 @p399 @p659) :args (@t470 @t372 (@list @t222 @t220 @t218 @t216 @t214 @t212 @t210 @t339 @t337 @t362 @t335 @t471))) % 0.32/0.61 (step @p667 :rule cnf_equiv_pos2 :args (@t470)) % 0.32/0.61 (step @p668 :rule reordering :premises (@p667) :args ((or @t207 @t374 (not @t470)))) % 0.32/0.61 (step @p669 :rule chain_m_resolution :premises (@p668 @p504 @p666) :args (@t207 @t352 (@list @t333 @t470))) % 0.32/0.61 (step @p670 :rule cnf_and_neg :args (@t209)) % 0.32/0.61 (step @p671 false :rule chain_m_resolution :premises (@p670 @p669 @p507 @p161) :args (false (@list false false true) (@list @t207 @t208 @t209))) % 0.32/0.61 ) % 0.32/0.61 % SZS output end Proof % 0.32/0.61 % cvc5 exiting %------------------------------------------------------------------------------