%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : TOP041+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 : n018.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 09:15:50 AM UTC 2026 % Result : Theorem 2.85s 3.07s % Output : Proof 2.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : TOP041+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 : n018.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 : Wed Jun 3 01:23:20 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.52 %----Proving TF0_NAR, FOF, or CNF % 2.85/3.07 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 2.85/3.07 % SZS status Theorem % 2.85/3.07 % SZS output start Proof % 2.85/3.07 ( % 2.85/3.07 (declare-sort $$unsorted 0) % 2.85/3.07 (declare-const tptp.m1_tsp_1 (-> $$unsorted $$unsorted Bool)) % 2.85/3.07 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 2.85/3.07 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.85/3.07 (declare-const tptp.k5_subset_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.85/3.07 (declare-const tptp.v4_tdlat_3 (-> $$unsorted Bool)) % 2.85/3.07 (declare-const tptp.v5_tdlat_3 (-> $$unsorted Bool)) % 2.85/3.07 (declare-const tptp.v1_tsep_1 (-> $$unsorted $$unsorted Bool)) % 2.85/3.07 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 2.85/3.07 (declare-const tptp.v1_tex_3 (-> $$unsorted $$unsorted Bool)) % 2.85/3.07 (declare-const tptp.v2_tops_1 (-> $$unsorted $$unsorted Bool)) % 2.85/3.07 (declare-const tptp.v4_pre_topc (-> $$unsorted $$unsorted Bool)) % 2.85/3.07 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 2.85/3.07 (declare-const tptp.k3_xboole_0 (-> $$unsorted $$unsorted $$unsorted)) % 2.85/3.07 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 2.85/3.07 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 2.85/3.07 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 2.85/3.07 (declare-const tptp.l1_pre_topc (-> $$unsorted Bool)) % 2.85/3.07 (declare-const tptp.v3_tdlat_3 (-> $$unsorted Bool)) % 2.85/3.07 (declare-const tptp.k1_xboole_0 $$unsorted) % 2.85/3.07 (declare-const tptp.k3_tex_4 (-> $$unsorted $$unsorted $$unsorted)) % 2.85/3.07 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 2.85/3.07 (declare-const tptp.v3_realset2 (-> $$unsorted Bool)) % 2.85/3.07 (declare-const tptp.k1_tsp_2 (-> $$unsorted $$unsorted $$unsorted)) % 2.85/3.07 (declare-const tptp.v4_ordinal2 (-> $$unsorted Bool)) % 2.85/3.07 (declare-const tptp.v2_tsp_2 (-> $$unsorted $$unsorted Bool)) % 2.85/3.07 (declare-const tptp.k9_relat_1 (-> $$unsorted $$unsorted $$unsorted)) % 2.85/3.07 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.85/3.07 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 2.85/3.07 (declare-const tptp.m2_tsp_1 (-> $$unsorted $$unsorted Bool)) % 2.85/3.07 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 2.85/3.07 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 2.85/3.07 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 2.85/3.07 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 2.85/3.07 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 2.85/3.07 (declare-const tptp.v1_borsuk_1 (-> $$unsorted $$unsorted Bool)) % 2.85/3.07 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.85/3.07 (declare-const tptp.v3_pre_topc (-> $$unsorted $$unsorted Bool)) % 2.85/3.07 (declare-const tptp.v2_pre_topc (-> $$unsorted Bool)) % 2.85/3.07 (declare-const tptp.v2_tdlat_3 (-> $$unsorted Bool)) % 2.85/3.07 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 2.85/3.07 (declare-const tptp.k4_tsp_2 (-> $$unsorted $$unsorted $$unsorted)) % 2.85/3.07 (declare-const tptp.k4_pre_topc (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.85/3.07 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 2.85/3.07 (declare-const tptp.v2_tex_2 (-> $$unsorted $$unsorted Bool)) % 2.85/3.07 (declare-const tptp.v1_tdlat_3 (-> $$unsorted Bool)) % 2.85/3.07 (declare-const tptp.v2_t_0topsp (-> $$unsorted Bool)) % 2.85/3.07 (declare-const tptp.v3_tops_1 (-> $$unsorted $$unsorted Bool)) % 2.85/3.07 (declare-const tptp.m1_pre_topc (-> $$unsorted $$unsorted Bool)) % 2.85/3.07 (declare-const tptp.v5_pre_topc (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.85/3.07 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 2.85/3.07 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 2.85/3.07 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 2.85/3.07 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 2.85/3.07 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 2.85/3.07 (define @t1 () (@var "B" $$unsorted)) % 2.85/3.07 (define @t2 () (@var "C" $$unsorted)) % 2.85/3.07 (define @t3 () (@var "A" $$unsorted)) % 2.85/3.07 (define @t4 () (tptp.k4_tsp_2 @t3 @t1)) % 2.85/3.07 (define @t5 () (tptp.v3_pre_topc (tptp.k4_pre_topc @t3 @t1 @t4 @t2) @t1)) % 2.85/3.07 (define @t6 () (tptp.v3_pre_topc @t2 @t3)) % 2.85/3.07 (define @t7 () (=> @t6 @t5)) % 2.85/3.07 (define @t8 () (tptp.u1_struct_0 @t3)) % 2.85/3.07 (define @t9 () (tptp.k1_zfmisc_1 @t8)) % 2.85/3.07 (define @t10 () (tptp.m1_subset_1 @t2 @t9)) % 2.85/3.07 (define @t11 () (@list @t2)) % 2.85/3.07 (define @t12 () (forall @t11 (=> @t10 @t7))) % 2.85/3.07 (define @t13 () (tptp.m2_tsp_1 @t1 @t3)) % 2.85/3.07 (define @t14 () (tptp.v2_tsp_2 @t1 @t3)) % 2.85/3.07 (define @t15 () (tptp.v3_struct_0 @t1)) % 2.85/3.07 (define @t16 () (not @t15)) % 2.85/3.07 (define @t17 () (and @t16 @t14 @t13)) % 2.85/3.07 (define @t18 () (=> @t17 @t12)) % 2.85/3.07 (define @t19 () (@list @t1)) % 2.85/3.07 (define @t20 () (forall @t19 @t18)) % 2.85/3.07 (define @t21 () (tptp.l1_pre_topc @t3)) % 2.85/3.07 (define @t22 () (tptp.v2_pre_topc @t3)) % 2.85/3.07 (define @t23 () (tptp.v3_struct_0 @t3)) % 2.85/3.07 (define @t24 () (not @t23)) % 2.85/3.07 (define @t25 () (and @t24 @t22 @t21)) % 2.85/3.07 (define @t26 () (=> @t25 @t20)) % 2.85/3.07 (define @t27 () (@list @t3)) % 2.85/3.07 (define @t28 () (forall @t27 @t26)) % 2.85/3.07 (define @t29 () (not @t28)) % 2.85/3.07 (define @t30 () (tptp.r2_hidden @t3 @t1)) % 2.85/3.07 (define @t31 () (@list @t3 @t1)) % 2.85/3.07 (define @t32 () (tptp.v1_xcmplx_0 @t1)) % 2.85/3.07 (define @t33 () (tptp.m1_subset_1 @t1 @t3)) % 2.85/3.07 (define @t34 () (tptp.v1_membered @t3)) % 2.85/3.07 (define @t35 () (tptp.v3_tdlat_3 @t3)) % 2.85/3.07 (define @t36 () (tptp.v2_tdlat_3 @t3)) % 2.85/3.07 (define @t37 () (not @t36)) % 2.85/3.07 (define @t38 () (tptp.v1_tdlat_3 @t3)) % 2.85/3.07 (define @t39 () (not @t38)) % 2.85/3.07 (define @t40 () (tptp.v3_realset2 @t3)) % 2.85/3.07 (define @t41 () (not @t40)) % 2.85/3.07 (define @t42 () (tptp.v2_t_0topsp @t3)) % 2.85/3.07 (define @t43 () (tptp.v1_borsuk_1 @t1 @t3)) % 2.85/3.07 (define @t44 () (tptp.v2_pre_topc @t1)) % 2.85/3.07 (define @t45 () (tptp.v2_tex_2 @t1 @t3)) % 2.85/3.07 (define @t46 () (and @t45 @t14)) % 2.85/3.07 (define @t47 () (tptp.m1_pre_topc @t1 @t3)) % 2.85/3.07 (define @t48 () (tptp.v1_xreal_0 @t1)) % 2.85/3.07 (define @t49 () (tptp.v2_membered @t3)) % 2.85/3.07 (define @t50 () (tptp.v2_t_0topsp @t1)) % 2.85/3.07 (define @t51 () (and @t16 @t50)) % 2.85/3.07 (define @t52 () (tptp.v1_rat_1 @t1)) % 2.85/3.07 (define @t53 () (tptp.v3_membered @t3)) % 2.85/3.07 (define @t54 () (not @t50)) % 2.85/3.07 (define @t55 () (not @t45)) % 2.85/3.07 (define @t56 () (not @t42)) % 2.85/3.07 (define @t57 () (and @t24 @t22 @t56 @t21)) % 2.85/3.07 (define @t58 () (tptp.v1_int_1 @t1)) % 2.85/3.07 (define @t59 () (tptp.v4_membered @t3)) % 2.85/3.07 (define @t60 () (tptp.v5_membered @t3)) % 2.85/3.07 (define @t61 () (tptp.v1_xboole_0 @t3)) % 2.85/3.07 (define @t62 () (tptp.v1_membered @t1)) % 2.85/3.07 (define @t63 () (tptp.k1_zfmisc_1 @t3)) % 2.85/3.07 (define @t64 () (tptp.m1_subset_1 @t1 @t63)) % 2.85/3.07 (define @t65 () (tptp.v2_membered @t1)) % 2.85/3.07 (define @t66 () (tptp.v3_membered @t1)) % 2.85/3.07 (define @t67 () (tptp.v4_membered @t1)) % 2.85/3.07 (define @t68 () (and @t22 @t21)) % 2.85/3.07 (define @t69 () (tptp.k2_zfmisc_1 @t3 @t1)) % 2.85/3.07 (define @t70 () (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t69))) % 2.85/3.07 (define @t71 () (@list @t3 @t1 @t2)) % 2.85/3.07 (define @t72 () (tptp.v4_pre_topc @t1 @t3)) % 2.85/3.07 (define @t73 () (tptp.v3_pre_topc @t1 @t3)) % 2.85/3.07 (define @t74 () (tptp.v1_xboole_0 @t1)) % 2.85/3.07 (define @t75 () (tptp.m1_subset_1 @t1 @t9)) % 2.85/3.07 (define @t76 () (and @t24 @t21)) % 2.85/3.07 (define @t77 () (tptp.v5_membered @t1)) % 2.85/3.07 (define @t78 () (tptp.v2_tops_1 @t1 @t3)) % 2.85/3.07 (define @t79 () (not @t14)) % 2.85/3.07 (define @t80 () (tptp.v3_tops_1 @t1 @t3)) % 2.85/3.07 (define @t81 () (tptp.v1_tex_3 @t1 @t3)) % 2.85/3.07 (define @t82 () (and @t44 @t79)) % 2.85/3.07 (define @t83 () (and @t44 @t55)) % 2.85/3.07 (define @t84 () (tptp.v1_tsep_1 @t1 @t3)) % 2.85/3.07 (define @t85 () (tptp.v5_tdlat_3 @t3)) % 2.85/3.07 (define @t86 () (tptp.v4_tdlat_3 @t3)) % 2.85/3.07 (define @t87 () (tptp.k3_xboole_0 @t1 @t3)) % 2.85/3.07 (define @t88 () (tptp.k3_xboole_0 @t3 @t1)) % 2.85/3.07 (define @t89 () (tptp.k5_subset_1 @t3 @t1 @t2)) % 2.85/3.07 (define @t90 () (tptp.m1_subset_1 @t2 @t63)) % 2.85/3.07 (define @t91 () (and @t64 @t90)) % 2.85/3.07 (define @t92 () (@var "E" $$unsorted)) % 2.85/3.07 (define @t93 () (@var "D" $$unsorted)) % 2.85/3.07 (define @t94 () (= (tptp.k5_subset_1 @t8 @t93 (tptp.k3_tex_4 @t3 @t92)) (tptp.k4_pre_topc @t3 @t1 @t2 @t92))) % 2.85/3.07 (define @t95 () (tptp.m1_subset_1 @t92 @t9)) % 2.85/3.07 (define @t96 () (@list @t92)) % 2.85/3.07 (define @t97 () (forall @t96 (=> @t95 @t94))) % 2.85/3.07 (define @t98 () (tptp.u1_struct_0 @t1)) % 2.85/3.07 (define @t99 () (= @t93 @t98)) % 2.85/3.07 (define @t100 () (=> @t99 @t97)) % 2.85/3.07 (define @t101 () (tptp.m1_subset_1 @t93 @t9)) % 2.85/3.07 (define @t102 () (=> @t101 @t100)) % 2.85/3.07 (define @t103 () (@list @t93)) % 2.85/3.07 (define @t104 () (forall @t103 @t102)) % 2.85/3.07 (define @t105 () (= @t2 @t4)) % 2.85/3.07 (define @t106 () (= @t105 @t104)) % 2.85/3.07 (define @t107 () (tptp.m2_relset_1 @t2 @t8 @t98)) % 2.85/3.07 (define @t108 () (tptp.v5_pre_topc @t2 @t3 @t1)) % 2.85/3.07 (define @t109 () (tptp.v1_funct_2 @t2 @t8 @t98)) % 2.85/3.07 (define @t110 () (tptp.v1_funct_1 @t2)) % 2.85/3.07 (define @t111 () (and @t110 @t109 @t108 @t107)) % 2.85/3.07 (define @t112 () (=> @t111 @t106)) % 2.85/3.07 (define @t113 () (forall @t11 @t112)) % 2.85/3.07 (define @t114 () (=> @t17 @t113)) % 2.85/3.07 (define @t115 () (forall @t19 @t114)) % 2.85/3.07 (define @t116 () (=> @t25 @t115)) % 2.85/3.07 (define @t117 () (forall @t27 @t116)) % 2.85/3.07 (define @t118 () (= @t2 (tptp.k3_xboole_0 @t93 @t98))) % 2.85/3.07 (define @t119 () (tptp.v3_pre_topc @t93 @t3)) % 2.85/3.07 (define @t120 () (and @t101 @t119 @t118)) % 2.85/3.07 (define @t121 () (exists @t103 @t120)) % 2.85/3.07 (define @t122 () (tptp.v3_pre_topc @t2 @t1)) % 2.85/3.07 (define @t123 () (= @t122 @t121)) % 2.85/3.07 (define @t124 () (tptp.k1_zfmisc_1 @t98)) % 2.85/3.07 (define @t125 () (tptp.m1_subset_1 @t2 @t124)) % 2.85/3.07 (define @t126 () (=> @t125 @t123)) % 2.85/3.07 (define @t127 () (forall @t11 @t126)) % 2.85/3.07 (define @t128 () (tptp.r1_tarski @t98 @t8)) % 2.85/3.07 (define @t129 () (and @t128 @t127)) % 2.85/3.07 (define @t130 () (tptp.m1_tsp_1 @t1 @t3)) % 2.85/3.07 (define @t131 () (= @t130 @t129)) % 2.85/3.07 (define @t132 () (tptp.l1_pre_topc @t1)) % 2.85/3.07 (define @t133 () (=> @t132 @t131)) % 2.85/3.07 (define @t134 () (forall @t19 @t133)) % 2.85/3.07 (define @t135 () (=> @t21 @t134)) % 2.85/3.07 (define @t136 () (forall @t27 @t135)) % 2.85/3.07 (define @t137 () (tptp.k1_tsp_2 @t3 @t1)) % 2.85/3.07 (define @t138 () (and (tptp.v1_funct_1 @t137) (tptp.v1_funct_2 @t137 @t8 @t98) (tptp.v5_pre_topc @t137 @t3 @t1) (tptp.m2_relset_1 @t137 @t8 @t98))) % 2.85/3.07 (define @t139 () (and @t24 @t22 @t21 @t16 @t14 @t47)) % 2.85/3.07 (define @t140 () (forall @t31 (=> @t139 @t138))) % 2.85/3.07 (define @t141 () (tptp.k3_tex_4 @t3 @t1)) % 2.85/3.07 (define @t142 () (tptp.k4_pre_topc @t3 @t1 @t2 @t93)) % 2.85/3.07 (define @t143 () (tptp.m1_subset_1 @t142 @t124)) % 2.85/3.07 (define @t144 () (tptp.m1_relset_1 @t2 @t8 @t98)) % 2.85/3.07 (define @t145 () (tptp.l1_struct_0 @t1)) % 2.85/3.07 (define @t146 () (tptp.l1_struct_0 @t3)) % 2.85/3.07 (define @t147 () (and @t146 @t145 @t110 @t109 @t144)) % 2.85/3.07 (define @t148 () (@list @t3 @t1 @t2 @t93)) % 2.85/3.07 (define @t149 () (forall @t148 (=> @t147 @t143))) % 2.85/3.07 (define @t150 () (and (tptp.v1_funct_1 @t4) (tptp.v1_funct_2 @t4 @t8 @t98) (tptp.v5_pre_topc @t4 @t3 @t1) (tptp.m2_relset_1 @t4 @t8 @t98))) % 2.85/3.07 (define @t151 () (forall @t31 (=> @t139 @t150))) % 2.85/3.07 (define @t152 () (forall @t27 (=> @t21 @t146))) % 2.85/3.07 (define @t153 () (tptp.m2_relset_1 @t2 @t3 @t1)) % 2.85/3.07 (define @t154 () (forall @t19 (=> @t13 @t132))) % 2.85/3.07 (define @t155 () (=> @t21 @t154)) % 2.85/3.07 (define @t156 () (forall @t27 @t155)) % 2.85/3.07 (define @t157 () (tptp.m1_relset_1 @t2 @t3 @t1)) % 2.85/3.07 (define @t158 () (and @t24 @t146)) % 2.85/3.07 (define @t159 () (tptp.v1_membered @t88)) % 2.85/3.07 (define @t160 () (tptp.v1_membered @t87)) % 2.85/3.07 (define @t161 () (tptp.v2_membered @t88)) % 2.85/3.07 (define @t162 () (tptp.v2_membered @t87)) % 2.85/3.07 (define @t163 () (tptp.v3_membered @t88)) % 2.85/3.07 (define @t164 () (tptp.v3_membered @t87)) % 2.85/3.07 (define @t165 () (tptp.v4_membered @t88)) % 2.85/3.07 (define @t166 () (tptp.v4_membered @t87)) % 2.85/3.07 (define @t167 () (not @t74)) % 2.85/3.07 (define @t168 () (not @t61)) % 2.85/3.07 (define @t169 () (= @t4 @t137)) % 2.85/3.07 (define @t170 () (forall @t31 (=> @t139 @t169))) % 2.85/3.07 (define @t171 () (= @t89 (tptp.k3_xboole_0 @t1 @t2))) % 2.85/3.07 (define @t172 () (forall @t71 (=> @t91 @t171))) % 2.85/3.07 (define @t173 () (forall @t19 (= @t130 @t47))) % 2.85/3.07 (define @t174 () (=> @t21 @t173)) % 2.85/3.07 (define @t175 () (forall @t27 @t174)) % 2.85/3.07 (define @t176 () (forall @t71 (= @t153 @t157))) % 2.85/3.07 (define @t177 () (forall @t19 (= @t13 @t47))) % 2.85/3.07 (define @t178 () (forall @t27 (=> @t21 @t177))) % 2.85/3.07 (define @t179 () (tptp.m1_subset_1 @t3 @t1)) % 2.85/3.07 (define @t180 () (tptp.m1_subset_1 @t98 @t9)) % 2.85/3.07 (define @t181 () (forall @t19 (=> @t47 @t180))) % 2.85/3.07 (define @t182 () (=> @t21 @t181)) % 2.85/3.07 (define @t183 () (forall @t27 @t182)) % 2.85/3.07 (define @t184 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t2))) % 2.85/3.07 (define @t185 () (=> @t73 (= @t141 @t1))) % 2.85/3.07 (define @t186 () (=> @t75 @t185)) % 2.85/3.07 (define @t187 () (forall @t19 @t186)) % 2.85/3.07 (define @t188 () (=> @t25 @t187)) % 2.85/3.07 (define @t189 () (forall @t27 @t188)) % 2.85/3.07 (define @t190 () (@var "BOUND_VARIABLE_9557" $$unsorted)) % 2.85/3.07 (define @t191 () (= @t190 (tptp.k3_tex_4 @t3 @t190))) % 2.85/3.07 (define @t192 () (not (tptp.v3_pre_topc @t190 @t3))) % 2.85/3.07 (define @t193 () (not (tptp.m1_subset_1 @t190 @t9))) % 2.85/3.07 (define @t194 () (not @t21)) % 2.85/3.07 (define @t195 () (not @t22)) % 2.85/3.07 (define @t196 () (or @t193 @t192 @t191)) % 2.85/3.07 (define @t197 () (or @t23 @t195 @t194 @t196)) % 2.85/3.07 (define @t198 () (forall (@list @t3 @t190) @t197)) % 2.85/3.07 (define @t199 () (@list @t190)) % 2.85/3.07 (define @t200 () (forall @t199 @t197)) % 2.85/3.07 (define @t201 () (forall @t199 @t196)) % 2.85/3.07 (define @t202 () (@list @t1)) % 2.85/3.07 (define @t203 () (or @t23 @t195 @t194 @t201)) % 2.85/3.07 (define @t204 () (= @t1 @t141)) % 2.85/3.07 (define @t205 () (not @t73)) % 2.85/3.07 (define @t206 () (not @t75)) % 2.85/3.07 (define @t207 () (or @t206 @t205 @t204)) % 2.85/3.07 (define @t208 () (forall @t19 @t207)) % 2.85/3.07 (define @t209 () (or @t23 @t195 @t194 @t208)) % 2.85/3.07 (define @t210 () (or @t23 @t195 @t194)) % 2.85/3.07 (define @t211 () (not @t24)) % 2.85/3.07 (define @t212 () (or @t211 @t195 @t194)) % 2.85/3.07 (define @t213 () (not @t25)) % 2.85/3.07 (define @t214 () (=> @t73 @t204)) % 2.85/3.07 (define @t215 () (@var "BOUND_VARIABLE_8143" $$unsorted)) % 2.85/3.07 (define @t216 () (@var "BOUND_VARIABLE_8145" $$unsorted)) % 2.85/3.07 (define @t217 () (tptp.v3_pre_topc (tptp.k4_pre_topc @t3 @t215 (tptp.k4_tsp_2 @t3 @t215) @t216) @t215)) % 2.85/3.07 (define @t218 () (not (tptp.v3_pre_topc @t216 @t3))) % 2.85/3.07 (define @t219 () (not (tptp.m1_subset_1 @t216 @t9))) % 2.85/3.07 (define @t220 () (not (tptp.m2_tsp_1 @t215 @t3))) % 2.85/3.07 (define @t221 () (not (tptp.v2_tsp_2 @t215 @t3))) % 2.85/3.07 (define @t222 () (tptp.v3_struct_0 @t215)) % 2.85/3.07 (define @t223 () (or @t23 @t195 @t194 @t222 @t221 @t220 @t219 @t218 @t217)) % 2.85/3.07 (define @t224 () (@list @t3 @t215 @t216)) % 2.85/3.07 (define @t225 () (forall @t224 @t223)) % 2.85/3.07 (define @t226 () (@quantifiers_skolemize @t225 2)) % 2.85/3.07 (define @t227 () (@quantifiers_skolemize @t225 0)) % 2.85/3.07 (define @t228 () (or @t222 @t221 @t220 @t219 @t218 @t217)) % 2.85/3.07 (define @t229 () (or @t23 @t195 @t194 @t228)) % 2.85/3.07 (define @t230 () (forall @t224 @t229)) % 2.85/3.07 (define @t231 () (@list @t215 @t216)) % 2.85/3.07 (define @t232 () (forall @t231 @t229)) % 2.85/3.07 (define @t233 () (forall @t231 @t228)) % 2.85/3.07 (define @t234 () (@var "BOUND_VARIABLE_8121" $$unsorted)) % 2.85/3.07 (define @t235 () (or @t23 @t195 @t194 @t233)) % 2.85/3.07 (define @t236 () (tptp.v3_pre_topc (tptp.k4_pre_topc @t3 @t1 @t4 @t234) @t1)) % 2.85/3.07 (define @t237 () (not (tptp.v3_pre_topc @t234 @t3))) % 2.85/3.07 (define @t238 () (not (tptp.m1_subset_1 @t234 @t9))) % 2.85/3.07 (define @t239 () (not @t13)) % 2.85/3.07 (define @t240 () (or @t15 @t79 @t239 @t238 @t237 @t236)) % 2.85/3.07 (define @t241 () (@list @t1 @t234)) % 2.85/3.07 (define @t242 () (forall @t241 @t240)) % 2.85/3.07 (define @t243 () (or @t23 @t195 @t194 @t242)) % 2.85/3.07 (define @t244 () (or @t238 @t237 @t236)) % 2.85/3.07 (define @t245 () (or @t15 @t79 @t239 @t244)) % 2.85/3.07 (define @t246 () (forall @t241 @t245)) % 2.85/3.07 (define @t247 () (@list @t234)) % 2.85/3.07 (define @t248 () (forall @t247 @t245)) % 2.85/3.07 (define @t249 () (forall @t247 @t244)) % 2.85/3.07 (define @t250 () (@list @t2)) % 2.85/3.07 (define @t251 () (or @t15 @t79 @t239 @t249)) % 2.85/3.07 (define @t252 () (not @t6)) % 2.85/3.07 (define @t253 () (not @t10)) % 2.85/3.07 (define @t254 () (or @t253 @t252 @t5)) % 2.85/3.07 (define @t255 () (forall @t11 @t254)) % 2.85/3.07 (define @t256 () (or @t15 @t79 @t239 @t255)) % 2.85/3.07 (define @t257 () (or @t15 @t79 @t239)) % 2.85/3.07 (define @t258 () (not @t16)) % 2.85/3.07 (define @t259 () (or @t258 @t79 @t239)) % 2.85/3.07 (define @t260 () (not @t17)) % 2.85/3.07 (define @t261 () (tptp.v3_pre_topc @t226 @t227)) % 2.85/3.07 (define @t262 () (@quantifiers_skolemize @t225 1)) % 2.85/3.07 (define @t263 () (tptp.k4_tsp_2 @t227 @t262)) % 2.85/3.07 (define @t264 () (tptp.k4_pre_topc @t227 @t262 @t263 @t226)) % 2.85/3.07 (define @t265 () (tptp.v3_pre_topc @t264 @t262)) % 2.85/3.07 (define @t266 () (not @t261)) % 2.85/3.07 (define @t267 () (tptp.u1_struct_0 @t227)) % 2.85/3.07 (define @t268 () (tptp.k1_zfmisc_1 @t267)) % 2.85/3.07 (define @t269 () (tptp.m1_subset_1 @t226 @t268)) % 2.85/3.07 (define @t270 () (not @t269)) % 2.85/3.07 (define @t271 () (tptp.m2_tsp_1 @t262 @t227)) % 2.85/3.07 (define @t272 () (not @t271)) % 2.85/3.07 (define @t273 () (tptp.v2_tsp_2 @t262 @t227)) % 2.85/3.07 (define @t274 () (not @t273)) % 2.85/3.07 (define @t275 () (tptp.v3_struct_0 @t262)) % 2.85/3.07 (define @t276 () (tptp.l1_pre_topc @t227)) % 2.85/3.07 (define @t277 () (not @t276)) % 2.85/3.07 (define @t278 () (tptp.v2_pre_topc @t227)) % 2.85/3.07 (define @t279 () (not @t278)) % 2.85/3.07 (define @t280 () (tptp.v3_struct_0 @t227)) % 2.85/3.07 (define @t281 () (or @t280 @t279 @t277 @t275 @t274 @t272 @t270 @t266 @t265)) % 2.85/3.07 (define @t282 () (@list true)) % 2.85/3.07 (define @t283 () (@list @t281)) % 2.85/3.07 (define @t284 () (tptp.k3_tex_4 @t227 @t226)) % 2.85/3.07 (define @t285 () (= @t226 @t284)) % 2.85/3.07 (define @t286 () (or @t280 @t279 @t277 @t270 @t266 @t285)) % 2.85/3.07 (define @t287 () (@list true false false false false false)) % 2.85/3.07 (define @t288 () (not @t47)) % 2.85/3.07 (define @t289 () (or @t23 @t195 @t194 @t15 @t79 @t288)) % 2.85/3.07 (define @t290 () (or @t211 @t195 @t194 @t258 @t79 @t288)) % 2.85/3.07 (define @t291 () (not @t139)) % 2.85/3.07 (define @t292 () (@list @t227 @t262)) % 2.85/3.07 (define @t293 () (@var "BOUND_VARIABLE_9500" $$unsorted)) % 2.85/3.07 (define @t294 () (= (tptp.m2_tsp_1 @t293 @t3) (tptp.m1_pre_topc @t293 @t3))) % 2.85/3.07 (define @t295 () (or @t194 @t294)) % 2.85/3.07 (define @t296 () (@list @t293)) % 2.85/3.07 (define @t297 () (forall @t296 @t295)) % 2.85/3.07 (define @t298 () (forall @t296 @t294)) % 2.85/3.07 (define @t299 () (or @t194 @t298)) % 2.85/3.07 (define @t300 () (tptp.m1_pre_topc @t262 @t227)) % 2.85/3.07 (define @t301 () (= @t271 @t300)) % 2.85/3.07 (define @t302 () (or @t277 @t301)) % 2.85/3.07 (define @t303 () (@list false false)) % 2.85/3.07 (define @t304 () (tptp.k1_tsp_2 @t227 @t262)) % 2.85/3.07 (define @t305 () (= @t263 @t304)) % 2.85/3.07 (define @t306 () (not @t300)) % 2.85/3.07 (define @t307 () (or @t280 @t279 @t277 @t275 @t274 @t306 @t305)) % 2.85/3.07 (define @t308 () (@list true false false true false false false)) % 2.85/3.07 (define @t309 () (@var "BOUND_VARIABLE_9078" $$unsorted)) % 2.85/3.07 (define @t310 () (tptp.k4_tsp_2 @t3 @t309)) % 2.85/3.07 (define @t311 () (@var "BOUND_VARIABLE_9080" $$unsorted)) % 2.85/3.07 (define @t312 () (= @t311 @t310)) % 2.85/3.07 (define @t313 () (@var "BOUND_VARIABLE_9000" $$unsorted)) % 2.85/3.07 (define @t314 () (tptp.k3_tex_4 @t3 @t313)) % 2.85/3.07 (define @t315 () (tptp.u1_struct_0 @t309)) % 2.85/3.07 (define @t316 () (not (tptp.m1_subset_1 @t313 @t9))) % 2.85/3.07 (define @t317 () (@list @t313)) % 2.85/3.07 (define @t318 () (or (not (tptp.m1_subset_1 @t315 @t9)) (forall @t317 (or @t316 (= (tptp.k5_subset_1 @t8 @t315 @t314) (tptp.k4_pre_topc @t3 @t309 @t311 @t313)))))) % 2.85/3.07 (define @t319 () (= (= @t310 @t311) @t318)) % 2.85/3.07 (define @t320 () (not (tptp.m2_relset_1 @t311 @t8 @t315))) % 2.85/3.07 (define @t321 () (not (tptp.v5_pre_topc @t311 @t3 @t309))) % 2.85/3.07 (define @t322 () (not (tptp.v1_funct_2 @t311 @t8 @t315))) % 2.85/3.07 (define @t323 () (not (tptp.v1_funct_1 @t311))) % 2.85/3.07 (define @t324 () (not (tptp.m2_tsp_1 @t309 @t3))) % 2.85/3.07 (define @t325 () (not (tptp.v2_tsp_2 @t309 @t3))) % 2.85/3.07 (define @t326 () (tptp.v3_struct_0 @t309)) % 2.85/3.07 (define @t327 () (or @t23 @t195 @t194 @t326 @t325 @t324 @t323 @t322 @t321 @t320 @t319)) % 2.85/3.07 (define @t328 () (or @t326 @t325 @t324 @t323 @t322 @t321 @t320 @t319)) % 2.85/3.07 (define @t329 () (or @t23 @t195 @t194 @t328)) % 2.85/3.07 (define @t330 () (@list @t3 @t309 @t311)) % 2.85/3.07 (define @t331 () (forall @t330 @t329)) % 2.85/3.07 (define @t332 () (@list @t309 @t311)) % 2.85/3.07 (define @t333 () (forall @t332 @t329)) % 2.85/3.07 (define @t334 () (forall @t332 @t328)) % 2.85/3.07 (define @t335 () (@var "BOUND_VARIABLE_9044" $$unsorted)) % 2.85/3.07 (define @t336 () (or @t23 @t195 @t194 @t334)) % 2.85/3.07 (define @t337 () (tptp.k4_pre_topc @t3 @t1 @t335 @t313)) % 2.85/3.07 (define @t338 () (tptp.k5_subset_1 @t8 @t98 @t314)) % 2.85/3.07 (define @t339 () (not @t180)) % 2.85/3.07 (define @t340 () (not (tptp.m2_relset_1 @t335 @t8 @t98))) % 2.85/3.07 (define @t341 () (not (tptp.v5_pre_topc @t335 @t3 @t1))) % 2.85/3.07 (define @t342 () (not (tptp.v1_funct_2 @t335 @t8 @t98))) % 2.85/3.07 (define @t343 () (not (tptp.v1_funct_1 @t335))) % 2.85/3.07 (define @t344 () (@list @t1 @t335)) % 2.85/3.07 (define @t345 () (forall @t344 (or @t15 @t79 @t239 @t343 @t342 @t341 @t340 (= (= @t4 @t335) (or @t339 (forall @t317 (or @t316 (= @t338 @t337)))))))) % 2.85/3.07 (define @t346 () (or @t23 @t195 @t194 @t345)) % 2.85/3.07 (define @t347 () (or @t316 (= @t337 @t338))) % 2.85/3.07 (define @t348 () (forall @t317 @t347)) % 2.85/3.07 (define @t349 () (or @t339 @t348)) % 2.85/3.07 (define @t350 () (= (= @t335 @t4) @t349)) % 2.85/3.07 (define @t351 () (or @t15 @t79 @t239 @t343 @t342 @t341 @t340 @t350)) % 2.85/3.07 (define @t352 () (or @t343 @t342 @t341 @t340 @t350)) % 2.85/3.07 (define @t353 () (or @t15 @t79 @t239 @t352)) % 2.85/3.07 (define @t354 () (forall @t344 @t353)) % 2.85/3.07 (define @t355 () (@list @t335)) % 2.85/3.07 (define @t356 () (forall @t355 @t353)) % 2.85/3.07 (define @t357 () (forall @t355 @t352)) % 2.85/3.07 (define @t358 () (or @t15 @t79 @t239 @t357)) % 2.85/3.07 (define @t359 () (tptp.k4_pre_topc @t3 @t1 @t2 @t313)) % 2.85/3.07 (define @t360 () (= @t359 @t338)) % 2.85/3.07 (define @t361 () (or @t316 @t360)) % 2.85/3.07 (define @t362 () (or @t339 (forall @t317 @t361))) % 2.85/3.07 (define @t363 () (= @t105 @t362)) % 2.85/3.07 (define @t364 () (not @t107)) % 2.85/3.07 (define @t365 () (not @t108)) % 2.85/3.07 (define @t366 () (not @t109)) % 2.85/3.07 (define @t367 () (not @t110)) % 2.85/3.07 (define @t368 () (or @t367 @t366 @t365 @t364 @t363)) % 2.85/3.07 (define @t369 () (forall @t11 @t368)) % 2.85/3.07 (define @t370 () (or @t15 @t79 @t239 @t369)) % 2.85/3.07 (define @t371 () (or @t367 @t366 @t365 @t364)) % 2.85/3.07 (define @t372 () (or @t339 @t361)) % 2.85/3.07 (define @t373 () (or @t339 @t316 @t360)) % 2.85/3.07 (define @t374 () (not (= @t98 @t98))) % 2.85/3.07 (define @t375 () (or @t339 @t374 @t316 (= @t338 @t359))) % 2.85/3.07 (define @t376 () (= (tptp.k5_subset_1 @t8 @t93 @t314) @t359)) % 2.85/3.07 (define @t377 () (= @t98 @t93)) % 2.85/3.07 (define @t378 () (not @t377)) % 2.85/3.07 (define @t379 () (not @t101)) % 2.85/3.07 (define @t380 () (or @t378 @t379 @t378 @t316 @t376)) % 2.85/3.07 (define @t381 () (or @t379 @t378 @t316 @t376)) % 2.85/3.07 (define @t382 () (forall @t103 @t381)) % 2.85/3.07 (define @t383 () (forall @t317 @t382)) % 2.85/3.07 (define @t384 () (forall (@list @t313 @t93) @t381)) % 2.85/3.07 (define @t385 () (@list @t93 @t313)) % 2.85/3.07 (define @t386 () (or @t316 @t376)) % 2.85/3.07 (define @t387 () (or @t379 @t378 @t386)) % 2.85/3.07 (define @t388 () (forall @t385 @t387)) % 2.85/3.07 (define @t389 () (forall @t317 @t387)) % 2.85/3.07 (define @t390 () (forall @t317 @t386)) % 2.85/3.07 (define @t391 () (or @t379 @t378 @t390)) % 2.85/3.07 (define @t392 () (forall @t96 (or (not @t95) @t94))) % 2.85/3.07 (define @t393 () (or @t379 @t378 @t392)) % 2.85/3.07 (define @t394 () (=> @t377 @t392)) % 2.85/3.07 (define @t395 () (tptp.u1_struct_0 @t262)) % 2.85/3.07 (define @t396 () (forall @t317 (or (not (tptp.m1_subset_1 @t313 @t268)) (= (tptp.k5_subset_1 @t267 @t395 (tptp.k3_tex_4 @t227 @t313)) (tptp.k4_pre_topc @t227 @t262 @t304 @t313))))) % 2.85/3.07 (define @t397 () (tptp.m1_subset_1 @t395 @t268)) % 2.85/3.07 (define @t398 () (not @t397)) % 2.85/3.07 (define @t399 () (or @t398 @t396)) % 2.85/3.07 (define @t400 () (= @t399 (= @t304 @t263))) % 2.85/3.07 (define @t401 () (tptp.m2_relset_1 @t304 @t267 @t395)) % 2.85/3.07 (define @t402 () (not @t401)) % 2.85/3.07 (define @t403 () (tptp.v5_pre_topc @t304 @t227 @t262)) % 2.85/3.07 (define @t404 () (not @t403)) % 2.85/3.07 (define @t405 () (tptp.v1_funct_2 @t304 @t267 @t395)) % 2.85/3.07 (define @t406 () (not @t405)) % 2.85/3.07 (define @t407 () (tptp.v1_funct_1 @t304)) % 2.85/3.07 (define @t408 () (not @t407)) % 2.85/3.07 (define @t409 () (or @t280 @t279 @t277 @t275 @t274 @t272 @t408 @t406 @t404 @t402 @t400)) % 2.85/3.07 (define @t410 () (forall @t330 (or @t23 @t195 @t194 @t326 @t325 @t324 @t323 @t322 @t321 @t320 (= @t318 @t312)))) % 2.85/3.07 (define @t411 () (= @t305 @t399)) % 2.85/3.07 (define @t412 () (or @t280 @t279 @t277 @t275 @t274 @t272 @t408 @t406 @t404 @t402 @t411)) % 2.85/3.07 (define @t413 () (@list false)) % 2.85/3.07 (define @t414 () (and @t407 @t405 @t403 @t401)) % 2.85/3.07 (define @t415 () (or @t280 @t279 @t277 @t275 @t274 @t306 @t414)) % 2.85/3.07 (define @t416 () (not @t414)) % 2.85/3.07 (define @t417 () (@list @t414)) % 2.85/3.07 (define @t418 () (not @t305)) % 2.85/3.07 (define @t419 () (@var "BOUND_VARIABLE_9520" $$unsorted)) % 2.85/3.07 (define @t420 () (tptp.m1_subset_1 (tptp.u1_struct_0 @t419) @t9)) % 2.85/3.07 (define @t421 () (not (tptp.m1_pre_topc @t419 @t3))) % 2.85/3.07 (define @t422 () (or @t421 @t420)) % 2.85/3.07 (define @t423 () (or @t194 @t422)) % 2.85/3.07 (define @t424 () (forall (@list @t3 @t419) @t423)) % 2.85/3.07 (define @t425 () (@list @t419)) % 2.85/3.07 (define @t426 () (forall @t425 @t423)) % 2.85/3.07 (define @t427 () (forall @t425 @t422)) % 2.85/3.07 (define @t428 () (or @t194 @t427)) % 2.85/3.07 (define @t429 () (forall @t19 (or @t288 @t180))) % 2.85/3.07 (define @t430 () (or @t277 @t306 @t397)) % 2.85/3.07 (define @t431 () (@list false false false)) % 2.85/3.07 (define @t432 () (@list @t226)) % 2.85/3.07 (define @t433 () (tptp.k5_subset_1 @t267 @t395 @t284)) % 2.85/3.07 (define @t434 () (= @t433 (tptp.k4_pre_topc @t227 @t262 @t304 @t226))) % 2.85/3.07 (define @t435 () (or @t270 @t434)) % 2.85/3.07 (define @t436 () (not @t90)) % 2.85/3.07 (define @t437 () (not @t64)) % 2.85/3.07 (define @t438 () (tptp.m1_subset_1 @t284 @t268)) % 2.85/3.07 (define @t439 () (tptp.k3_xboole_0 @t395 @t284)) % 2.85/3.07 (define @t440 () (= @t433 @t439)) % 2.85/3.07 (define @t441 () (not @t438)) % 2.85/3.07 (define @t442 () (or @t398 @t441 @t440)) % 2.85/3.07 (define @t443 () (@var "BOUND_VARIABLE_9143" $$unsorted)) % 2.85/3.07 (define @t444 () (tptp.u1_struct_0 @t443)) % 2.85/3.07 (define @t445 () (not @t119)) % 2.85/3.07 (define @t446 () (= (tptp.m1_tsp_1 @t443 @t3) (and (tptp.r1_tarski @t444 @t8) (forall @t11 (or (not (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t444))) (= (tptp.v3_pre_topc @t2 @t443) (not (forall @t103 (or @t379 @t445 (not (= @t2 (tptp.k3_xboole_0 @t93 @t444)))))))))))) % 2.85/3.07 (define @t447 () (not (tptp.l1_pre_topc @t443))) % 2.85/3.07 (define @t448 () (or @t447 @t446)) % 2.85/3.07 (define @t449 () (or @t194 @t448)) % 2.85/3.07 (define @t450 () (forall (@list @t3 @t443) @t449)) % 2.85/3.07 (define @t451 () (@list @t443)) % 2.85/3.07 (define @t452 () (forall @t451 @t449)) % 2.85/3.07 (define @t453 () (forall @t451 @t448)) % 2.85/3.07 (define @t454 () (or @t194 @t453)) % 2.85/3.07 (define @t455 () (not @t118)) % 2.85/3.07 (define @t456 () (or @t379 @t445 @t455)) % 2.85/3.07 (define @t457 () (= @t122 (not (forall @t103 @t456)))) % 2.85/3.07 (define @t458 () (= @t130 (and @t128 (forall @t11 (or (not @t125) @t457))))) % 2.85/3.07 (define @t459 () (forall @t19 (or (not @t132) @t458))) % 2.85/3.07 (define @t460 () (forall @t103 (not @t120))) % 2.85/3.07 (define @t461 () (not @t460)) % 2.85/3.07 (define @t462 () (@var "BOUND_VARIABLE_9246" $$unsorted)) % 2.85/3.07 (define @t463 () (tptp.l1_pre_topc @t462)) % 2.85/3.07 (define @t464 () (not (tptp.m2_tsp_1 @t462 @t3))) % 2.85/3.07 (define @t465 () (or @t464 @t463)) % 2.85/3.07 (define @t466 () (or @t194 @t465)) % 2.85/3.07 (define @t467 () (forall (@list @t3 @t462) @t466)) % 2.85/3.07 (define @t468 () (@list @t462)) % 2.85/3.07 (define @t469 () (forall @t468 @t466)) % 2.85/3.07 (define @t470 () (forall @t468 @t465)) % 2.85/3.07 (define @t471 () (or @t194 @t470)) % 2.85/3.07 (define @t472 () (forall @t19 (or @t239 @t132))) % 2.85/3.07 (define @t473 () (tptp.l1_pre_topc @t262)) % 2.85/3.07 (define @t474 () (or @t277 @t272 @t473)) % 2.85/3.07 (define @t475 () (tptp.k3_xboole_0 @t93 @t395)) % 2.85/3.07 (define @t476 () (not (tptp.v3_pre_topc @t93 @t227))) % 2.85/3.07 (define @t477 () (not (tptp.m1_subset_1 @t93 @t268))) % 2.85/3.07 (define @t478 () (tptp.k1_zfmisc_1 @t395)) % 2.85/3.07 (define @t479 () (forall @t11 (or (not (tptp.m1_subset_1 @t2 @t478)) (= (tptp.v3_pre_topc @t2 @t262) (not (forall @t103 (or @t477 @t476 (not (= @t2 @t475))))))))) % 2.85/3.07 (define @t480 () (and (tptp.r1_tarski @t395 @t267) @t479)) % 2.85/3.07 (define @t481 () (tptp.m1_tsp_1 @t262 @t227)) % 2.85/3.07 (define @t482 () (= @t481 @t480)) % 2.85/3.07 (define @t483 () (not @t473)) % 2.85/3.07 (define @t484 () (or @t277 @t483 @t482)) % 2.85/3.07 (define @t485 () (@var "BOUND_VARIABLE_9489" $$unsorted)) % 2.85/3.07 (define @t486 () (= (tptp.m1_pre_topc @t485 @t3) (tptp.m1_tsp_1 @t485 @t3))) % 2.85/3.07 (define @t487 () (or @t194 @t486)) % 2.85/3.07 (define @t488 () (@list @t485)) % 2.85/3.07 (define @t489 () (forall @t488 @t487)) % 2.85/3.07 (define @t490 () (forall @t488 @t486)) % 2.85/3.07 (define @t491 () (or @t194 @t490)) % 2.85/3.07 (define @t492 () (forall @t19 (= @t47 @t130))) % 2.85/3.07 (define @t493 () (= @t300 @t481)) % 2.85/3.07 (define @t494 () (or @t277 @t493)) % 2.85/3.07 (define @t495 () (not @t144)) % 2.85/3.07 (define @t496 () (not @t145)) % 2.85/3.07 (define @t497 () (not @t146)) % 2.85/3.07 (define @t498 () (or @t497 @t496 @t367 @t366 @t495)) % 2.85/3.07 (define @t499 () (tptp.m2_relset_1 @t263 @t267 @t395)) % 2.85/3.07 (define @t500 () (tptp.m1_relset_1 @t263 @t267 @t395)) % 2.85/3.07 (define @t501 () (= @t499 @t500)) % 2.85/3.07 (define @t502 () (= @t500 @t499)) % 2.85/3.07 (define @t503 () (tptp.v1_funct_2 @t263 @t267 @t395)) % 2.85/3.07 (define @t504 () (tptp.v1_funct_1 @t263)) % 2.85/3.07 (define @t505 () (and @t504 @t503 (tptp.v5_pre_topc @t263 @t227 @t262) @t499)) % 2.85/3.07 (define @t506 () (or @t280 @t279 @t277 @t275 @t274 @t306 @t505)) % 2.85/3.07 (define @t507 () (not @t505)) % 2.85/3.07 (define @t508 () (@list @t505)) % 2.85/3.07 (define @t509 () (tptp.l1_struct_0 @t262)) % 2.85/3.07 (define @t510 () (or @t483 @t509)) % 2.85/3.07 (define @t511 () (tptp.l1_struct_0 @t227)) % 2.85/3.07 (define @t512 () (or @t277 @t511)) % 2.85/3.07 (define @t513 () (tptp.m1_subset_1 @t264 @t478)) % 2.85/3.07 (define @t514 () (not @t500)) % 2.85/3.07 (define @t515 () (not @t503)) % 2.85/3.07 (define @t516 () (not @t504)) % 2.85/3.07 (define @t517 () (not @t509)) % 2.85/3.07 (define @t518 () (not @t511)) % 2.85/3.07 (define @t519 () (or @t518 @t517 @t516 @t515 @t514 @t513)) % 2.85/3.07 (define @t520 () (forall @t103 (or @t477 @t476 (not (= @t264 @t475))))) % 2.85/3.07 (define @t521 () (not @t520)) % 2.85/3.07 (define @t522 () (= @t265 @t521)) % 2.85/3.07 (define @t523 () (not @t513)) % 2.85/3.07 (define @t524 () (or @t523 @t522)) % 2.85/3.07 (define @t525 () (not @t522)) % 2.85/3.07 (define @t526 () (= @t264 (tptp.k3_xboole_0 @t226 @t395))) % 2.85/3.07 (define @t527 () (not @t526)) % 2.85/3.07 (define @t528 () (or @t270 @t266 @t527)) % 2.85/3.07 (define @t529 () (tptp.k3_xboole_0 @t284 @t395)) % 2.85/3.07 (define @t530 () (= @t439 @t529)) % 2.85/3.07 (define @t531 () (and @t305 @t285 @t434 @t440 @t530)) % 2.85/3.07 (assume @p1 @t29) % 2.85/3.07 (assume @p2 (forall @t31 (=> @t30 (not (tptp.r2_hidden @t1 @t3))))) % 2.85/3.07 (assume @p3 (forall @t27 (=> @t34 (forall @t19 (=> @t33 @t32))))) % 2.85/3.07 (assume @p4 (forall @t27 (=> @t21 (=> (and @t24 @t22 @t39 @t42) (and @t24 @t41 @t22 @t39 @t37 (not @t35)))))) % 2.85/3.07 (assume @p5 (forall @t27 (=> @t25 (forall @t19 (=> @t47 (=> @t46 (and @t44 (not @t43)))))))) % 2.85/3.07 (assume @p6 (forall @t27 (=> @t49 (forall @t19 (=> @t33 (and @t32 @t48)))))) % 2.85/3.07 (assume @p7 (forall @t27 (=> (and @t24 @t22 @t42 @t21) (forall @t19 (=> @t47 (=> @t16 @t51)))))) % 2.85/3.07 (assume @p8 (forall @t27 (=> @t53 (forall @t19 (=> @t33 (and @t32 @t48 @t52)))))) % 2.85/3.07 (assume @p9 (forall @t27 (=> @t57 (forall @t19 (=> @t47 (=> (and @t16 @t55) (and @t16 (not (tptp.v3_realset2 @t1)) @t54))))))) % 2.85/3.07 (assume @p10 (forall @t27 (=> @t59 (forall @t19 (=> @t33 (and @t32 @t48 @t58 @t52)))))) % 2.85/3.07 (assume @p11 (forall @t27 (=> @t57 (forall @t19 (=> @t47 (=> @t51 (and @t16 @t45))))))) % 2.85/3.07 (assume @p12 (forall @t27 (=> @t60 (forall @t19 (=> @t33 (and @t32 (tptp.v4_ordinal2 @t1) @t48 @t58 @t52)))))) % 2.85/3.07 (assume @p13 (forall @t27 (=> @t61 (and @t34 @t49 @t53 @t59 @t60)))) % 2.85/3.07 (assume @p14 (forall @t27 (=> @t34 (forall @t19 (=> @t64 @t62))))) % 2.85/3.07 (assume @p15 (forall @t27 (=> @t49 (forall @t19 (=> @t64 (and @t62 @t65)))))) % 2.85/3.07 (assume @p16 (forall @t27 (=> @t53 (forall @t19 (=> @t64 (and @t62 @t65 @t66)))))) % 2.85/3.07 (assume @p17 (forall @t27 (=> @t59 (forall @t19 (=> @t64 (and @t62 @t65 @t66 @t67)))))) % 2.85/3.07 (assume @p18 (forall @t27 (=> @t60 @t59))) % 2.85/3.07 (assume @p19 (forall @t27 (=> @t68 (forall @t19 (=> @t47 @t44))))) % 2.85/3.07 (assume @p20 (forall @t71 (=> @t70 (tptp.v1_relat_1 @t2)))) % 2.85/3.07 (assume @p21 (forall @t27 (=> @t68 (forall @t19 (=> @t75 (=> @t74 (and @t73 @t72))))))) % 2.85/3.07 (assume @p22 (forall @t27 (=> @t21 (=> (and @t24 @t40) (and @t24 @t42))))) % 2.85/3.07 (assume @p23 (forall @t27 (=> @t76 (forall @t19 (=> @t47 (=> (and @t16 @t14) @t51)))))) % 2.85/3.07 (assume @p24 (forall @t27 (=> @t60 (forall @t19 (=> @t64 (and @t62 @t65 @t66 @t67 @t77)))))) % 2.85/3.07 (assume @p25 (forall @t27 (=> @t59 @t53))) % 2.85/3.07 (assume @p26 (forall @t27 (=> @t21 (forall @t19 (=> @t75 (=> @t74 @t78)))))) % 2.85/3.07 (assume @p27 (forall @t27 (=> @t21 (=> (and @t24 @t56) (and @t24 @t41))))) % 2.85/3.07 (assume @p28 (forall @t27 (=> @t76 (forall @t19 (=> @t47 (=> (and @t16 @t54) (and @t16 @t79))))))) % 2.85/3.07 (assume @p29 (forall @t27 (=> @t53 @t49))) % 2.85/3.07 (assume @p30 (forall @t27 (=> @t68 (forall @t19 (=> @t75 (=> @t74 @t80)))))) % 2.85/3.07 (assume @p31 (forall @t27 (=> @t21 (=> (and @t24 @t22 @t38) (and @t24 @t22 @t42))))) % 2.85/3.07 (assume @p32 (forall @t27 (=> @t25 (forall @t19 (=> @t47 (=> @t14 (and @t44 @t81))))))) % 2.85/3.07 (assume @p33 (forall @t27 (=> @t49 @t34))) % 2.85/3.07 (assume @p34 (forall @t27 (=> @t68 (forall @t19 (=> @t75 (=> @t80 @t78)))))) % 2.85/3.07 (assume @p35 (forall @t27 (=> @t21 (=> (and @t24 @t22 @t56) (and @t24 @t41 @t22 @t39))))) % 2.85/3.07 (assume @p36 (forall @t27 (=> @t25 (forall @t19 (=> @t47 (=> (not @t81) @t82)))))) % 2.85/3.07 (assume @p37 (forall @t27 (=> @t68 (forall @t19 (=> @t75 (=> (and @t72 @t78) (and @t78 @t80))))))) % 2.85/3.07 (assume @p38 (forall @t27 (=> @t21 (=> (and @t24 @t41 @t22 @t36) (and @t24 @t41 @t22 @t56))))) % 2.85/3.07 (assume @p39 (forall @t27 (=> @t25 (forall @t19 (=> @t47 (=> (and @t84 @t14) @t83)))))) % 2.85/3.07 (assume @p40 (forall @t27 (=> @t68 (forall @t19 (=> @t75 (=> (and @t73 @t80) (and @t74 @t73 @t72 @t62 @t65 @t66 @t67 @t77 @t78 @t80))))))) % 2.85/3.07 (assume @p41 (forall @t27 (=> @t21 (=> (and @t24 @t22 @t36 @t42) (and @t24 @t40 @t22 @t38 @t36 @t35 @t86 @t85 @t42))))) % 2.85/3.07 (assume @p42 (forall @t27 (=> @t25 (forall @t19 (=> @t47 (=> (and @t84 @t45) @t82)))))) % 2.85/3.07 (assume @p43 (forall @t27 (=> @t21 (=> (and @t24 @t41 @t22 @t42) (and @t24 @t41 @t22 @t37))))) % 2.85/3.07 (assume @p44 (forall @t27 (=> @t25 (forall @t19 (=> @t47 (=> @t46 (and @t44 (not @t84)))))))) % 2.85/3.07 (assume @p45 (forall @t27 (=> @t21 (=> (and @t24 @t22 @t35 @t42) (and @t24 @t22 @t38 @t35 @t86 @t85 @t42))))) % 2.85/3.07 (assume @p46 (forall @t27 (=> @t25 (forall @t19 (=> @t47 (=> (and @t43 @t14) @t83)))))) % 2.85/3.07 (assume @p47 (forall @t27 (=> @t21 (=> (and @t24 @t22 @t39 @t35) (and @t24 @t41 @t22 @t39 @t56))))) % 2.85/3.07 (assume @p48 (forall @t27 (=> @t25 (forall @t19 (=> @t47 (=> (and @t45 @t43) @t82)))))) % 2.85/3.07 (assume @p49 (forall @t31 (= @t88 @t87))) % 2.85/3.07 (assume @p50 (forall @t71 (=> @t91 (= @t89 (tptp.k5_subset_1 @t3 @t2 @t1))))) % 2.85/3.07 (assume @p51 @t117) % 2.85/3.07 (assume @p52 @t136) % 2.85/3.07 (assume @p53 @t140) % 2.85/3.07 (assume @p54 true) % 2.85/3.07 (assume @p55 (forall @t31 (=> (and @t24 @t21 @t75) (tptp.m1_subset_1 @t141 @t9)))) % 2.85/3.07 (assume @p56 @t149) % 2.85/3.07 (assume @p57 @t151) % 2.85/3.07 (assume @p58 (forall @t71 (=> @t91 (tptp.m1_subset_1 @t89 @t63)))) % 2.85/3.07 (assume @p59 @t152) % 2.85/3.07 (assume @p60 (forall @t27 (=> @t21 (forall @t19 (=> @t47 @t132))))) % 2.85/3.07 (assume @p61 (forall @t27 (=> @t21 (forall @t19 (=> @t130 @t132))))) % 2.85/3.07 (assume @p62 (forall @t71 (=> @t153 @t70))) % 2.85/3.07 (assume @p63 @t156) % 2.85/3.07 (assume @p64 (exists @t27 @t21)) % 2.85/3.07 (assume @p65 (exists @t27 @t146)) % 2.85/3.07 (assume @p66 (forall @t27 (=> @t21 (exists @t19 @t47)))) % 2.85/3.07 (assume @p67 (forall @t31 (exists @t11 @t157))) % 2.85/3.07 (assume @p68 (forall @t27 (exists @t19 @t33))) % 2.85/3.07 (assume @p69 (forall @t27 (=> @t21 (exists @t19 @t130)))) % 2.85/3.07 (assume @p70 (forall @t31 (exists @t11 @t153))) % 2.85/3.07 (assume @p71 (forall @t27 (=> @t21 (exists @t19 @t13)))) % 2.85/3.07 (assume @p72 (forall @t27 (=> @t158 (not (tptp.v1_xboole_0 @t8))))) % 2.85/3.07 (assume @p73 (forall @t27 (not (tptp.v1_xboole_0 @t63)))) % 2.85/3.07 (assume @p74 (forall @t31 (=> @t34 @t159))) % 2.85/3.07 (assume @p75 (forall @t31 (=> @t34 @t160))) % 2.85/3.07 (assume @p76 (forall @t31 (=> @t49 (and @t159 @t161)))) % 2.85/3.07 (assume @p77 (forall @t31 (=> @t49 (and @t160 @t162)))) % 2.85/3.07 (assume @p78 (forall @t31 (=> @t53 (and @t159 @t161 @t163)))) % 2.85/3.07 (assume @p79 (forall @t31 (=> @t53 (and @t160 @t162 @t164)))) % 2.85/3.07 (assume @p80 (forall @t31 (=> @t59 (and @t159 @t161 @t163 @t165)))) % 2.85/3.07 (assume @p81 (forall @t31 (=> @t59 (and @t160 @t162 @t164 @t166)))) % 2.85/3.07 (assume @p82 (forall @t31 (=> @t60 (and @t159 @t161 @t163 @t165 (tptp.v5_membered @t88))))) % 2.85/3.07 (assume @p83 (forall @t31 (=> @t60 (and @t160 @t162 @t164 @t166 (tptp.v5_membered @t87))))) % 2.85/3.07 (assume @p84 (forall @t31 (=> (and @t168 @t167) (not (tptp.v1_xboole_0 @t69))))) % 2.85/3.07 (assume @p85 (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))) % 2.85/3.07 (assume @p86 (forall @t31 (= (tptp.k3_xboole_0 @t3 @t3) @t3))) % 2.85/3.07 (assume @p87 (forall @t71 (=> @t91 (= (tptp.k5_subset_1 @t3 @t1 @t1) @t1)))) % 2.85/3.07 (assume @p88 (exists @t27 (and @t168 @t34 @t49 @t53 @t59 @t60))) % 2.85/3.07 (assume @p89 (forall @t27 (=> @t168 (exists @t19 (and @t64 @t167))))) % 2.85/3.07 (assume @p90 (forall @t27 (=> @t68 (exists @t19 (and @t75 @t73))))) % 2.85/3.07 (assume @p91 (forall @t27 (exists @t19 (and @t64 @t74)))) % 2.85/3.07 (assume @p92 (forall @t27 (=> @t68 (exists @t19 (and @t75 @t73 @t72))))) % 2.85/3.07 (assume @p93 (exists @t27 (and @t146 @t24))) % 2.85/3.07 (assume @p94 (forall @t27 (=> @t25 (exists @t19 (and @t75 @t167 @t73 @t72))))) % 2.85/3.07 (assume @p95 (forall @t27 (=> @t21 (exists @t19 (and @t75 @t74 @t62 @t65 @t66 @t67 @t77 @t78))))) % 2.85/3.07 (assume @p96 (forall @t27 (=> @t158 (exists @t19 (and @t75 @t167))))) % 2.85/3.07 (assume @p97 (forall @t27 (=> @t68 (exists @t19 (and @t75 @t74 @t73 @t72 @t62 @t65 @t66 @t67 @t77 @t78 @t80))))) % 2.85/3.07 (assume @p98 (forall @t27 (=> @t68 (exists @t19 (and @t75 @t72))))) % 2.85/3.07 (assume @p99 (forall @t27 (=> @t25 (exists @t19 (and @t75 @t167 @t72))))) % 2.85/3.07 (assume @p100 (forall @t148 (=> @t147 (= @t142 (tptp.k9_relat_1 @t2 @t93))))) % 2.85/3.07 (assume @p101 @t170) % 2.85/3.07 (assume @p102 @t172) % 2.85/3.07 (assume @p103 @t175) % 2.85/3.07 (assume @p104 @t176) % 2.85/3.07 (assume @p105 @t178) % 2.85/3.07 (assume @p106 (forall @t31 (tptp.r1_tarski @t3 @t3))) % 2.85/3.07 (assume @p107 (forall @t31 (=> @t30 @t179))) % 2.85/3.07 (assume @p108 @t183) % 2.85/3.07 (assume @p109 (forall @t27 (= (tptp.k3_xboole_0 @t3 tptp.k1_xboole_0) tptp.k1_xboole_0))) % 2.85/3.07 (assume @p110 (forall @t31 (=> @t179 (or @t74 @t30)))) % 2.85/3.07 (assume @p111 (forall @t31 (= (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 @t1)) (tptp.r1_tarski @t3 @t1)))) % 2.85/3.07 (assume @p112 (forall @t71 (=> (and @t30 @t184) (tptp.m1_subset_1 @t3 @t2)))) % 2.85/3.07 (assume @p113 @t189) % 2.85/3.07 (assume @p114 (forall @t71 (not (and @t30 @t184 (tptp.v1_xboole_0 @t2))))) % 2.85/3.07 (assume @p115 (forall @t27 (=> @t61 (= @t3 tptp.k1_xboole_0)))) % 2.85/3.07 (assume @p116 (forall @t31 (not (and @t30 @t74)))) % 2.85/3.07 (assume @p117 (forall @t31 (not (and @t61 (not (= @t3 @t1)) @t74)))) % 2.85/3.07 (step @p118 :rule aci_norm :args ((= @t197 (or @t23 @t195 @t194 @t193 @t192 @t191)))) % 2.85/3.07 (step @p119 :rule cong :premises (@p118) :args (@t198)) % 2.85/3.07 (step @p120 :rule quant-merge-prenex :args ((= (forall @t27 @t200) @t198))) % 2.85/3.07 (step @p121 :rule alpha_equiv :args (@t201 (@list @t190) @t202)) % 2.85/3.07 (step @p122 :rule refl :args (@t194)) % 2.85/3.07 (step @p123 :rule refl :args (@t195)) % 2.85/3.07 (step @p124 :rule refl :args (@t23)) % 2.85/3.07 (step @p125 :rule nary_cong :premises (@p124 @p123 @p122 @p121) :args (@t203)) % 2.85/3.07 (step @p126 :rule quant-miniscope-or :args ((= @t200 @t203))) % 2.85/3.07 (step @p127 :rule trans :premises (@p126 @p125)) % 2.85/3.07 (step @p128 :rule symm :premises (@p127)) % 2.85/3.07 (step @p129 :rule cong :premises (@p128) :args ((forall @t27 @t209))) % 2.85/3.07 (step @p130 :rule trans :premises (@p129 @p120)) % 2.85/3.07 (step @p131 :rule trans :premises (@p130 @p119)) % 2.85/3.07 (step @p132 :rule aci_norm :args ((= (or @t210 @t208) @t209))) % 2.85/3.07 (step @p133 :rule refl :args (@t208)) % 2.85/3.07 (step @p134 :rule bool-double-not-elim :args (@t23)) % 2.85/3.07 (step @p135 :rule nary_cong :premises (@p134 @p123 @p122) :args (@t212)) % 2.85/3.07 (step @p136 :rule aci_norm :args ((= (or @t211 (or @t195 @t194)) @t212))) % 2.85/3.07 (step @p137 :rule trans :premises (@p136 @p135)) % 2.85/3.07 (step @p138 :rule bool-and-de-morgan :args (@t22 @t21 true)) % 2.85/3.07 (step @p139 :rule refl :args (@t211)) % 2.85/3.07 (step @p140 :rule nary_cong :premises (@p139 @p138) :args ((or @t211 (not @t68)))) % 2.85/3.07 (step @p141 :rule bool-and-de-morgan :args (@t24 @t22 (and @t21))) % 2.85/3.07 (step @p142 :rule trans :premises (@p141 @p140)) % 2.85/3.07 (step @p143 :rule trans :premises (@p142 @p137)) % 2.85/3.07 (step @p144 :rule nary_cong :premises (@p143 @p133) :args ((or @t213 @t208))) % 2.85/3.07 (step @p145 :rule trans :premises (@p144 @p132)) % 2.85/3.07 (step @p146 :rule bool-impl-elim :args (@t25 @t208)) % 2.85/3.07 (step @p147 :rule trans :premises (@p146 @p145)) % 2.85/3.07 (step @p148 :rule cong :premises (@p147) :args ((forall @t27 (=> @t25 @t208)))) % 2.85/3.07 (step @p149 :rule trans :premises (@p148 @p131)) % 2.85/3.07 (step @p150 :rule aci_norm :args ((= (or @t206 (or @t205 @t204)) @t207))) % 2.85/3.07 (step @p151 :rule bool-impl-elim :args (@t73 @t204)) % 2.85/3.07 (step @p152 :rule refl :args (@t206)) % 2.85/3.07 (step @p153 :rule nary_cong :premises (@p152 @p151) :args ((or @t206 @t214))) % 2.85/3.07 (step @p154 :rule trans :premises (@p153 @p150)) % 2.85/3.07 (step @p155 :rule bool-impl-elim :args (@t75 @t214)) % 2.85/3.07 (step @p156 :rule trans :premises (@p155 @p154)) % 2.85/3.07 (step @p157 :rule cong :premises (@p156) :args ((forall @t19 (=> @t75 @t214)))) % 2.85/3.07 (step @p158 :rule eq-symm :args (@t141 @t1)) % 2.85/3.07 (step @p159 :rule refl :args (@t73)) % 2.85/3.07 (step @p160 :rule cong :premises (@p159 @p158) :args (@t185)) % 2.85/3.07 (step @p161 :rule refl :args (@t75)) % 2.85/3.07 (step @p162 :rule cong :premises (@p161 @p160) :args (@t186)) % 2.85/3.07 (step @p163 :rule cong :premises (@p162) :args (@t187)) % 2.85/3.07 (step @p164 :rule trans :premises (@p163 @p157)) % 2.85/3.07 (step @p165 :rule refl :args (@t25)) % 2.85/3.07 (step @p166 :rule cong :premises (@p165 @p164) :args (@t188)) % 2.85/3.07 (step @p167 :rule cong :premises (@p166) :args (@t189)) % 2.85/3.07 (step @p168 :rule trans :premises (@p167 @p149)) % 2.85/3.07 (step @p169 :rule eq_resolve :premises (@p113 @p168)) % 2.85/3.07 (step @p170 :rule instantiate :premises (@p169) :args ((@list @t227 @t226))) % 2.85/3.07 (step @p171 :rule aci_norm :args ((= @t229 @t223))) % 2.85/3.07 (step @p172 :rule cong :premises (@p171) :args (@t230)) % 2.85/3.07 (step @p173 :rule quant-merge-prenex :args ((= (forall @t27 @t232) @t230))) % 2.85/3.07 (step @p174 :rule alpha_equiv :args (@t233 (@list @t215 @t216) (@list @t1 @t234))) % 2.85/3.07 (step @p175 :rule nary_cong :premises (@p124 @p123 @p122 @p174) :args (@t235)) % 2.85/3.07 (step @p176 :rule quant-miniscope-or :args ((= @t232 @t235))) % 2.85/3.07 (step @p177 :rule trans :premises (@p176 @p175)) % 2.85/3.07 (step @p178 :rule symm :premises (@p177)) % 2.85/3.07 (step @p179 :rule cong :premises (@p178) :args ((forall @t27 @t243))) % 2.85/3.07 (step @p180 :rule trans :premises (@p179 @p173)) % 2.85/3.07 (step @p181 :rule trans :premises (@p180 @p172)) % 2.85/3.07 (step @p182 :rule aci_norm :args ((= (or @t210 @t242) @t243))) % 2.85/3.07 (step @p183 :rule refl :args (@t242)) % 2.85/3.07 (step @p184 :rule nary_cong :premises (@p143 @p183) :args ((or @t213 @t242))) % 2.85/3.07 (step @p185 :rule trans :premises (@p184 @p182)) % 2.85/3.07 (step @p186 :rule bool-impl-elim :args (@t25 @t242)) % 2.85/3.07 (step @p187 :rule trans :premises (@p186 @p185)) % 2.85/3.07 (step @p188 :rule cong :premises (@p187) :args ((forall @t27 (=> @t25 @t242)))) % 2.85/3.07 (step @p189 :rule trans :premises (@p188 @p181)) % 2.85/3.07 (step @p190 :rule aci_norm :args ((= @t245 @t240))) % 2.85/3.07 (step @p191 :rule cong :premises (@p190) :args (@t246)) % 2.85/3.07 (step @p192 :rule quant-merge-prenex :args ((= (forall @t19 @t248) @t246))) % 2.85/3.07 (step @p193 :rule alpha_equiv :args (@t249 (@list @t234) @t250)) % 2.85/3.07 (step @p194 :rule refl :args (@t239)) % 2.85/3.07 (step @p195 :rule refl :args (@t79)) % 2.85/3.07 (step @p196 :rule refl :args (@t15)) % 2.85/3.07 (step @p197 :rule nary_cong :premises (@p196 @p195 @p194 @p193) :args (@t251)) % 2.85/3.07 (step @p198 :rule quant-miniscope-or :args ((= @t248 @t251))) % 2.85/3.07 (step @p199 :rule trans :premises (@p198 @p197)) % 2.85/3.07 (step @p200 :rule symm :premises (@p199)) % 2.85/3.07 (step @p201 :rule cong :premises (@p200) :args ((forall @t19 @t256))) % 2.85/3.07 (step @p202 :rule trans :premises (@p201 @p192)) % 2.85/3.07 (step @p203 :rule trans :premises (@p202 @p191)) % 2.85/3.07 (step @p204 :rule aci_norm :args ((= (or @t257 @t255) @t256))) % 2.85/3.07 (step @p205 :rule refl :args (@t255)) % 2.85/3.07 (step @p206 :rule bool-double-not-elim :args (@t15)) % 2.85/3.07 (step @p207 :rule nary_cong :premises (@p206 @p195 @p194) :args (@t259)) % 2.85/3.07 (step @p208 :rule aci_norm :args ((= (or @t258 (or @t79 @t239)) @t259))) % 2.85/3.07 (step @p209 :rule trans :premises (@p208 @p207)) % 2.85/3.07 (step @p210 :rule bool-and-de-morgan :args (@t14 @t13 true)) % 2.85/3.07 (step @p211 :rule refl :args (@t258)) % 2.85/3.07 (step @p212 :rule nary_cong :premises (@p211 @p210) :args ((or @t258 (not (and @t14 @t13))))) % 2.85/3.07 (step @p213 :rule bool-and-de-morgan :args (@t16 @t14 (and @t13))) % 2.85/3.07 (step @p214 :rule trans :premises (@p213 @p212)) % 2.85/3.07 (step @p215 :rule trans :premises (@p214 @p209)) % 2.85/3.07 (step @p216 :rule nary_cong :premises (@p215 @p205) :args ((or @t260 @t255))) % 2.85/3.07 (step @p217 :rule trans :premises (@p216 @p204)) % 2.85/3.07 (step @p218 :rule bool-impl-elim :args (@t17 @t255)) % 2.85/3.07 (step @p219 :rule trans :premises (@p218 @p217)) % 2.85/3.07 (step @p220 :rule cong :premises (@p219) :args ((forall @t19 (=> @t17 @t255)))) % 2.85/3.07 (step @p221 :rule trans :premises (@p220 @p203)) % 2.85/3.07 (step @p222 :rule aci_norm :args ((= (or @t253 (or @t252 @t5)) @t254))) % 2.85/3.07 (step @p223 :rule bool-impl-elim :args (@t6 @t5)) % 2.85/3.07 (step @p224 :rule refl :args (@t253)) % 2.85/3.07 (step @p225 :rule nary_cong :premises (@p224 @p223) :args ((or @t253 @t7))) % 2.85/3.07 (step @p226 :rule trans :premises (@p225 @p222)) % 2.85/3.07 (step @p227 :rule bool-impl-elim :args (@t10 @t7)) % 2.85/3.07 (step @p228 :rule trans :premises (@p227 @p226)) % 2.85/3.07 (step @p229 :rule cong :premises (@p228) :args (@t12)) % 2.85/3.07 (step @p230 :rule refl :args (@t17)) % 2.85/3.07 (step @p231 :rule cong :premises (@p230 @p229) :args (@t18)) % 2.85/3.07 (step @p232 :rule cong :premises (@p231) :args (@t20)) % 2.85/3.07 (step @p233 :rule trans :premises (@p232 @p221)) % 2.85/3.07 (step @p234 :rule cong :premises (@p165 @p233) :args (@t26)) % 2.85/3.07 (step @p235 :rule cong :premises (@p234) :args (@t28)) % 2.85/3.07 (step @p236 :rule trans :premises (@p235 @p189)) % 2.85/3.07 (step @p237 :rule cong :premises (@p236) :args (@t29)) % 2.85/3.07 (step @p238 :rule eq_resolve :premises (@p1 @p237)) % 2.85/3.07 (step @p239 :rule skolemize :premises (@p238)) % 2.85/3.07 (step @p240 :rule bool-double-not-elim :args (@t261)) % 2.85/3.07 (step @p241 :rule refl :args (@t281)) % 2.85/3.07 (step @p242 :rule nary_cong :premises (@p241 @p240) :args ((or @t281 (not @t266)))) % 2.85/3.07 (step @p243 :rule cnf_or_neg :args (@t281 7)) % 2.85/3.07 (step @p244 :rule eq_resolve :premises (@p243 @p242)) % 2.85/3.07 (step @p245 :rule reordering :premises (@p244) :args ((or @t261 @t281))) % 2.85/3.07 (step @p246 :rule chain_m_resolution :premises (@p245 @p239) :args (@t261 @t282 @t283)) % 2.85/3.07 (step @p247 :rule bool-double-not-elim :args (@t269)) % 2.85/3.07 (step @p248 :rule nary_cong :premises (@p241 @p247) :args ((or @t281 (not @t270)))) % 2.85/3.07 (step @p249 :rule cnf_or_neg :args (@t281 6)) % 2.85/3.07 (step @p250 :rule eq_resolve :premises (@p249 @p248)) % 2.85/3.07 (step @p251 :rule reordering :premises (@p250) :args ((or @t269 @t281))) % 2.85/3.07 (step @p252 :rule chain_m_resolution :premises (@p251 @p239) :args (@t269 @t282 @t283)) % 2.85/3.07 (step @p253 :rule bool-double-not-elim :args (@t276)) % 2.85/3.07 (step @p254 :rule nary_cong :premises (@p241 @p253) :args ((or @t281 (not @t277)))) % 2.85/3.07 (step @p255 :rule cnf_or_neg :args (@t281 2)) % 2.85/3.07 (step @p256 :rule eq_resolve :premises (@p255 @p254)) % 2.85/3.07 (step @p257 :rule reordering :premises (@p256) :args ((or @t276 @t281))) % 2.85/3.07 (step @p258 :rule chain_m_resolution :premises (@p257 @p239) :args (@t276 @t282 @t283)) % 2.85/3.07 (step @p259 :rule bool-double-not-elim :args (@t278)) % 2.85/3.07 (step @p260 :rule nary_cong :premises (@p241 @p259) :args ((or @t281 (not @t279)))) % 2.85/3.07 (step @p261 :rule cnf_or_neg :args (@t281 1)) % 2.85/3.07 (step @p262 :rule eq_resolve :premises (@p261 @p260)) % 2.85/3.07 (step @p263 :rule reordering :premises (@p262) :args ((or @t278 @t281))) % 2.85/3.07 (step @p264 :rule chain_m_resolution :premises (@p263 @p239) :args (@t278 @t282 @t283)) % 2.85/3.07 (step @p265 :rule cnf_or_neg :args (@t281 0)) % 2.85/3.07 (step @p266 :rule chain_m_resolution :premises (@p265 @p239) :args ((not @t280) @t282 @t283)) % 2.85/3.07 (step @p267 :rule cnf_or_pos :args (@t286)) % 2.85/3.07 (step @p268 :rule reordering :premises (@p267) :args ((or @t280 @t279 @t277 @t270 @t266 @t285 (not @t286)))) % 2.85/3.07 (step @p269 :rule chain_m_resolution :premises (@p268 @p266 @p264 @p258 @p252 @p246 @p170) :args (@t285 @t287 (@list @t280 @t278 @t276 @t269 @t261 @t286))) % 2.85/3.07 (step @p270 :rule aci_norm :args ((= (or @t289 @t169) (or @t23 @t195 @t194 @t15 @t79 @t288 @t169)))) % 2.85/3.07 (step @p271 :rule refl :args (@t169)) % 2.85/3.07 (step @p272 :rule refl :args (@t288)) % 2.85/3.07 (step @p273 :rule nary_cong :premises (@p134 @p123 @p122 @p206 @p195 @p272) :args (@t290)) % 2.85/3.07 (step @p274 :rule aci_norm :args ((= (or @t211 (or @t195 (or @t194 (or @t258 (or @t79 @t288))))) @t290))) % 2.85/3.07 (step @p275 :rule trans :premises (@p274 @p273)) % 2.85/3.07 (step @p276 :rule bool-and-de-morgan :args (@t14 @t47 true)) % 2.85/3.07 (step @p277 :rule nary_cong :premises (@p211 @p276) :args ((or @t258 (not (and @t14 @t47))))) % 2.85/3.07 (step @p278 :rule bool-and-de-morgan :args (@t16 @t14 (and @t47))) % 2.85/3.07 (step @p279 :rule trans :premises (@p278 @p277)) % 2.85/3.07 (step @p280 :rule nary_cong :premises (@p122 @p279) :args ((or @t194 (not (and @t16 @t14 @t47))))) % 2.85/3.07 (step @p281 :rule bool-and-de-morgan :args (@t21 @t16 (and @t14 @t47))) % 2.85/3.07 (step @p282 :rule trans :premises (@p281 @p280)) % 2.85/3.07 (step @p283 :rule nary_cong :premises (@p123 @p282) :args ((or @t195 (not (and @t21 @t16 @t14 @t47))))) % 2.85/3.07 (step @p284 :rule bool-and-de-morgan :args (@t22 @t21 (and @t16 @t14 @t47))) % 2.85/3.07 (step @p285 :rule trans :premises (@p284 @p283)) % 2.85/3.07 (step @p286 :rule nary_cong :premises (@p139 @p285) :args ((or @t211 (not (and @t22 @t21 @t16 @t14 @t47))))) % 2.85/3.07 (step @p287 :rule bool-and-de-morgan :args (@t24 @t22 (and @t21 @t16 @t14 @t47))) % 2.85/3.07 (step @p288 :rule trans :premises (@p287 @p286)) % 2.85/3.07 (step @p289 :rule trans :premises (@p288 @p275)) % 2.85/3.07 (step @p290 :rule nary_cong :premises (@p289 @p271) :args ((or @t291 @t169))) % 2.85/3.07 (step @p291 :rule trans :premises (@p290 @p270)) % 2.85/3.07 (step @p292 :rule bool-impl-elim :args (@t139 @t169)) % 2.85/3.07 (step @p293 :rule trans :premises (@p292 @p291)) % 2.85/3.07 (step @p294 :rule cong :premises (@p293) :args (@t170)) % 2.85/3.07 (step @p295 :rule eq_resolve :premises (@p101 @p294)) % 2.85/3.07 (step @p296 :rule instantiate :premises (@p295) :args (@t292)) % 2.85/3.07 (step @p297 :rule quant-merge-prenex :args ((= (forall @t27 @t297) (forall (@list @t3 @t293) @t295)))) % 2.85/3.07 (step @p298 :rule alpha_equiv :args (@t298 (@list @t293) @t202)) % 2.85/3.07 (step @p299 :rule nary_cong :premises (@p122 @p298) :args (@t299)) % 2.85/3.07 (step @p300 :rule quant-miniscope-or :args ((= @t297 @t299))) % 2.85/3.07 (step @p301 :rule trans :premises (@p300 @p299)) % 2.85/3.07 (step @p302 :rule symm :premises (@p301)) % 2.85/3.07 (step @p303 :rule cong :premises (@p302) :args ((forall @t27 (or @t194 @t177)))) % 2.85/3.07 (step @p304 :rule trans :premises (@p303 @p297)) % 2.85/3.07 (step @p305 :rule bool-impl-elim :args (@t21 @t177)) % 2.85/3.07 (step @p306 :rule cong :premises (@p305) :args 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2.85/3.07 (step @p714 :rule trans :premises (@p713 @p712)) % 2.85/3.07 (step @p715 :rule refl :args (@t496)) % 2.85/3.07 (step @p716 :rule nary_cong :premises (@p715 @p714) :args ((or @t496 (not (and @t110 @t109 @t144))))) % 2.85/3.07 (step @p717 :rule bool-and-de-morgan :args (@t145 @t110 (and @t109 @t144))) % 2.85/3.07 (step @p718 :rule trans :premises (@p717 @p716)) % 2.85/3.07 (step @p719 :rule refl :args (@t497)) % 2.85/3.07 (step @p720 :rule nary_cong :premises (@p719 @p718) :args ((or @t497 (not (and @t145 @t110 @t109 @t144))))) % 2.85/3.07 (step @p721 :rule bool-and-de-morgan :args (@t146 @t145 (and @t110 @t109 @t144))) % 2.85/3.07 (step @p722 :rule trans :premises (@p721 @p720)) % 2.85/3.07 (step @p723 :rule trans :premises (@p722 @p710)) % 2.85/3.07 (step @p724 :rule nary_cong :premises (@p723 @p709) :args ((or (not @t147) @t143))) % 2.85/3.07 (step @p725 :rule trans :premises (@p724 @p708)) % 2.85/3.07 (step @p726 :rule bool-impl-elim :args (@t147 @t143)) % 2.85/3.07 (step @p727 :rule trans :premises (@p726 @p725)) % 2.85/3.07 (step @p728 :rule cong :premises (@p727) :args (@t149)) % 2.85/3.07 (step @p729 :rule eq_resolve :premises (@p56 @p728)) % 2.85/3.07 (step @p730 :rule instantiate :premises (@p729) :args ((@list @t227 @t262 @t263 @t226))) % 2.85/3.07 (step @p731 :rule eq-symm :args (@t499 @t500)) % 2.85/3.07 (step @p732 :rule refl :args (@t176)) % 2.85/3.07 (step @p733 :rule cong :premises (@p732 @p731) :args ((=> @t176 @t501))) % 2.85/3.07 (assume-push @p822 @t176) % 2.85/3.07 (step @p735 :rule instantiate :premises (@p104) :args ((@list @t267 @t395 @t263))) % 2.85/3.07 (step-pop @p823 :rule scope :premises (@p735)) % 2.85/3.07 (step @p736 :rule process_scope :premises (@p823) :args (@t501)) % 2.85/3.07 (step @p738 :rule eq_resolve :premises (@p736 @p733)) % 2.85/3.07 (step @p739 :rule implies_elim :premises (@p738)) % 2.85/3.07 (step @p740 :rule chain_m_resolution :premises (@p739 @p104) :args (@t502 @t413 (@list @t176))) % 2.85/3.07 (step @p741 :rule aci_norm :args ((= (or @t289 @t150) (or @t23 @t195 @t194 @t15 @t79 @t288 @t150)))) % 2.85/3.07 (step @p742 :rule refl :args (@t150)) % 2.85/3.07 (step @p743 :rule nary_cong :premises (@p289 @p742) :args ((or @t291 @t150))) % 2.85/3.07 (step @p744 :rule trans :premises (@p743 @p741)) % 2.85/3.07 (step @p745 :rule bool-impl-elim :args (@t139 @t150)) % 2.85/3.07 (step @p746 :rule trans :premises (@p745 @p744)) % 2.85/3.07 (step @p747 :rule cong :premises (@p746) :args (@t151)) % 2.85/3.07 (step @p748 :rule eq_resolve :premises (@p57 @p747)) % 2.85/3.07 (step @p749 :rule instantiate :premises (@p748) :args (@t292)) % 2.85/3.07 (step @p750 :rule cnf_or_pos :args (@t506)) % 2.85/3.07 (step @p751 :rule reordering :premises (@p750) :args ((or @t280 @t279 @t277 @t275 @t274 @t306 @t505 (not @t506)))) % 2.85/3.07 (step @p752 :rule chain_m_resolution :premises (@p751 @p266 @p264 @p258 @p329 @p327 @p321 @p749) :args (@t505 @t308 (@list @t280 @t278 @t276 @t275 @t273 @t300 @t506))) % 2.85/3.07 (step @p753 :rule cnf_and_pos :args (@t505 3)) % 2.85/3.07 (step @p754 :rule reordering :premises (@p753) :args ((or @t499 @t507))) % 2.85/3.07 (step @p755 :rule chain_m_resolution :premises (@p754 @p752) :args (@t499 @t413 @t508)) % 2.85/3.07 (step @p756 :rule cnf_equiv_pos2 :args (@t502)) % 2.85/3.07 (step @p757 :rule reordering :premises (@p756) :args ((or @t500 (not @t499) (not @t502)))) % 2.85/3.07 (step @p758 :rule chain_m_resolution :premises (@p757 @p755 @p740) :args (@t500 @t303 (@list @t499 @t502))) % 2.85/3.07 (step @p759 :rule cnf_and_pos :args (@t505 1)) % 2.85/3.07 (step @p760 :rule reordering :premises (@p759) :args ((or @t503 @t507))) % 2.85/3.07 (step @p761 :rule chain_m_resolution :premises (@p760 @p752) :args (@t503 @t413 @t508)) % 2.85/3.07 (step @p762 :rule cnf_and_pos :args (@t505 0)) % 2.85/3.07 (step @p763 :rule reordering :premises (@p762) :args ((or @t504 @t507))) % 2.85/3.07 (step @p764 :rule chain_m_resolution :premises (@p763 @p752) :args (@t504 @t413 @t508)) % 2.85/3.07 (step @p765 :rule bool-impl-elim :args (@t21 @t146)) % 2.85/3.07 (step @p766 :rule cong :premises (@p765) :args (@t152)) % 2.85/3.07 (step @p767 :rule eq_resolve :premises (@p59 @p766)) % 2.85/3.07 (step @p768 :rule instantiate :premises (@p767) :args ((@list @t262))) % 2.85/3.07 (step @p769 :rule cnf_or_pos :args (@t510)) % 2.85/3.07 (step @p770 :rule reordering :premises (@p769) :args ((or @t483 @t509 (not @t510)))) % 2.85/3.07 (step @p771 :rule chain_m_resolution :premises (@p770 @p673 @p768) :args (@t509 @t303 (@list @t473 @t510))) % 2.85/3.07 (step @p772 :rule instantiate :premises (@p767) :args ((@list @t227))) % 2.85/3.07 (step @p773 :rule cnf_or_pos :args (@t512)) % 2.85/3.07 (step @p774 :rule reordering :premises (@p773) :args ((or @t277 @t511 (not @t512)))) % 2.85/3.07 (step @p775 :rule chain_m_resolution :premises (@p774 @p258 @p772) :args (@t511 @t303 (@list @t276 @t512))) % 2.85/3.07 (step @p776 :rule cnf_or_pos :args (@t519)) % 2.85/3.07 (step @p777 :rule reordering :premises (@p776) :args ((or @t513 @t518 @t517 @t516 @t515 @t514 (not @t519)))) % 2.85/3.07 (step @p778 :rule chain_m_resolution :premises (@p777 @p775 @p771 @p764 @p761 @p758 @p730) :args (@t513 (@list false false false false false false) (@list @t511 @t509 @t504 @t503 @t500 @t519))) % 2.85/3.07 (step @p779 :rule cnf_or_pos :args (@t524)) % 2.85/3.07 (step @p780 :rule reordering :premises (@p779) :args ((or @t523 @t522 (not @t524)))) % 2.85/3.07 (step @p781 :rule chain_m_resolution :premises (@p780 @p778 @p707) :args (@t522 @t303 (@list @t513 @t524))) % 2.85/3.07 (step @p782 :rule cnf_or_neg :args (@t281 8)) % 2.85/3.07 (step @p783 :rule chain_m_resolution :premises (@p782 @p239) :args ((not @t265) @t282 @t283)) % 2.85/3.07 (step @p784 :rule bool-double-not-elim :args (@t520)) % 2.85/3.07 (step @p785 :rule refl :args (@t265)) % 2.85/3.07 (step @p786 :rule refl :args (@t525)) % 2.85/3.07 (step @p787 :rule nary_cong :premises (@p786 @p785 @p784) :args ((or @t525 @t265 (not @t521)))) % 2.85/3.07 (step @p788 :rule cnf_equiv_pos2 :args (@t522)) % 2.85/3.07 (step @p789 :rule eq_resolve :premises (@p788 @p787)) % 2.85/3.07 (step @p790 :rule reordering :premises (@p789) :args ((or @t265 @t520 @t525))) % 2.85/3.07 (step @p791 :rule chain_m_resolution :premises (@p790 @p783 @p781) :args (@t520 (@list true false) (@list @t265 @t522))) % 2.85/3.07 (step @p792 :rule instantiate :premises (@p791) :args (@t432)) % 2.85/3.07 (step @p793 :rule cnf_or_pos :args (@t528)) % 2.85/3.07 (step @p794 :rule reordering :premises (@p793) :args ((or @t270 @t266 @t527 (not @t528)))) % 2.85/3.07 (step @p795 :rule chain_m_resolution :premises (@p794 @p252 @p246 @p792) :args (@t527 @t431 (@list @t269 @t261 @t528))) % 2.85/3.07 (assume-push @p824 @t305) % 2.85/3.07 (assume-push @p825 @t285) % 2.85/3.07 (assume-push @p826 @t434) % 2.85/3.07 (assume-push @p827 @t440) % 2.85/3.07 (assume-push @p828 @t530) % 2.85/3.07 (step @p801 :rule refl :args (@t395)) % 2.85/3.07 (step @p802 :rule cong :premises (@p595 @p801) :args (@t529)) % 2.85/3.07 (step @p803 :rule symm :premises (@p582)) % 2.85/3.07 (step @p804 :rule refl :args (@t226)) % 2.85/3.07 (step @p805 :rule refl :args (@t262)) % 2.85/3.07 (step @p806 :rule refl :args (@t227)) % 2.85/3.07 (step @p807 :rule cong :premises (@p806 @p805 @p332 @p804) :args (@t264)) % 2.85/3.07 (step @p808 :rule trans :premises (@p807 @p803 @p601 @p602 @p802)) % 2.85/3.09 (step-pop @p829 :rule scope :premises (@p808)) % 2.85/3.09 (step-pop @p830 :rule scope :premises (@p829)) % 2.85/3.09 (step-pop @p831 :rule scope :premises (@p830)) % 2.85/3.09 (step-pop @p832 :rule scope :premises (@p831)) % 2.85/3.09 (step-pop @p833 :rule scope :premises (@p832)) % 2.85/3.09 (step @p809 :rule process_scope :premises (@p833) :args (@t526)) % 2.85/3.09 (step @p815 :rule implies_elim :premises (@p809)) % 2.85/3.09 (step @p816 :rule cnf_and_neg :args (@t531)) % 2.85/3.09 (step @p817 :rule resolution :premises (@p816 @p815) :args (true @t531)) % 2.85/3.09 (step @p818 :rule reordering :premises (@p817) :args ((or @t418 (not @t285) (not @t434) (not @t440) @t526 (not @t530)))) % 2.85/3.09 (step @p819 false :rule chain_m_resolution :premises (@p818 @p795 @p602 @p601 @p582 @p332 @p269) :args (false @t287 (@list @t526 @t530 @t440 @t434 @t305 @t285))) % 2.85/3.09 ) % 2.85/3.09 % SZS output end Proof % 2.85/3.09 % cvc5 exiting %------------------------------------------------------------------------------