%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : TOP033+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 : n024.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 09:15:48 AM UTC 2026 % Result : Theorem 4.85s 5.08s % Output : Proof 4.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : TOP033+1 : TPTP v9.2.1. Released v3.4.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n024.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Tue Jun 2 20:18:45 EDT 2026 % 0.08/0.25 % CPUTime : % 0.17/0.35 %----Proving TF0_NAR, FOF, or CNF % 4.85/5.08 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 4.85/5.08 % SZS status Theorem % 4.85/5.08 % SZS output start Proof % 4.85/5.08 ( % 4.85/5.08 (declare-sort $$unsorted 0) % 4.85/5.08 (declare-const tptp.v1_tsp_2 (-> $$unsorted $$unsorted Bool)) % 4.85/5.08 (declare-const tptp.v3_tops_1 (-> $$unsorted $$unsorted Bool)) % 4.85/5.08 (declare-const tptp.k5_subset_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.85/5.08 (declare-const tptp.v3_pre_topc (-> $$unsorted $$unsorted Bool)) % 4.85/5.08 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 4.85/5.08 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 4.85/5.08 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 4.85/5.08 (declare-const tptp.v4_tdlat_3 (-> $$unsorted Bool)) % 4.85/5.08 (declare-const tptp.v4_ordinal2 (-> $$unsorted Bool)) % 4.85/5.08 (declare-const tptp.v1_tsep_1 (-> $$unsorted $$unsorted Bool)) % 4.85/5.08 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 4.85/5.08 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 4.85/5.08 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 4.85/5.08 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 4.85/5.08 (declare-const tptp.v2_tops_1 (-> $$unsorted $$unsorted Bool)) % 4.85/5.08 (declare-const tptp.v1_tdlat_3 (-> $$unsorted Bool)) % 4.85/5.08 (declare-const tptp.v2_t_0topsp (-> $$unsorted Bool)) % 4.85/5.08 (declare-const tptp.k2_tex_4 (-> $$unsorted $$unsorted $$unsorted)) % 4.85/5.08 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 4.85/5.08 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 4.85/5.08 (declare-const tptp.v3_realset2 (-> $$unsorted Bool)) % 4.85/5.08 (declare-const tptp.m2_tsp_1 (-> $$unsorted $$unsorted Bool)) % 4.85/5.08 (declare-const tptp.k1_funct_1 (-> $$unsorted $$unsorted $$unsorted)) % 4.85/5.08 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 4.85/5.08 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 4.85/5.08 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 4.85/5.08 (declare-const tptp.k8_funct_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.85/5.08 (declare-const tptp.v3_tdlat_3 (-> $$unsorted Bool)) % 4.85/5.08 (declare-const tptp.k1_xboole_0 $$unsorted) % 4.85/5.08 (declare-const tptp.v5_tdlat_3 (-> $$unsorted Bool)) % 4.85/5.08 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 4.85/5.08 (declare-const tptp.v4_pre_topc (-> $$unsorted $$unsorted Bool)) % 4.85/5.08 (declare-const tptp.v2_tsp_2 (-> $$unsorted $$unsorted Bool)) % 4.85/5.08 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 4.85/5.08 (declare-const tptp.k4_tex_4 (-> $$unsorted $$unsorted $$unsorted)) % 4.85/5.08 (declare-const tptp.k1_struct_0 (-> $$unsorted $$unsorted $$unsorted)) % 4.85/5.08 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 4.85/5.08 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 4.85/5.08 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 4.85/5.08 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 4.85/5.08 (declare-const tptp.v3_borsuk_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 4.85/5.08 (declare-const tptp.l1_pre_topc (-> $$unsorted Bool)) % 4.85/5.08 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 4.85/5.08 (declare-const tptp.k1_tarski (-> $$unsorted $$unsorted)) % 4.85/5.08 (declare-const tptp.k3_xboole_0 (-> $$unsorted $$unsorted $$unsorted)) % 4.85/5.08 (declare-const tptp.v2_tex_2 (-> $$unsorted $$unsorted Bool)) % 4.85/5.08 (declare-const tptp.v2_pre_topc (-> $$unsorted Bool)) % 4.85/5.08 (declare-const tptp.m1_pre_topc (-> $$unsorted $$unsorted Bool)) % 4.85/5.08 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 4.85/5.08 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 4.85/5.08 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 4.85/5.08 (declare-const tptp.v1_borsuk_1 (-> $$unsorted $$unsorted Bool)) % 4.85/5.08 (declare-const tptp.v2_tdlat_3 (-> $$unsorted Bool)) % 4.85/5.08 (declare-const tptp.v1_tsp_1 (-> $$unsorted $$unsorted Bool)) % 4.85/5.08 (declare-const tptp.v1_tex_3 (-> $$unsorted $$unsorted Bool)) % 4.85/5.08 (declare-const tptp.v5_pre_topc (-> $$unsorted $$unsorted $$unsorted Bool)) % 4.85/5.08 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 4.85/5.08 (define @t1 () (@var "B" $$unsorted)) % 4.85/5.08 (define @t2 () (@var "A" $$unsorted)) % 4.85/5.08 (define @t3 () (@var "C" $$unsorted)) % 4.85/5.08 (define @t4 () (tptp.v3_borsuk_1 @t3 @t2 @t1)) % 4.85/5.08 (define @t5 () (@var "D" $$unsorted)) % 4.85/5.08 (define @t6 () (tptp.k4_tex_4 @t2 @t5)) % 4.85/5.08 (define @t7 () (tptp.u1_struct_0 @t1)) % 4.85/5.08 (define @t8 () (tptp.u1_struct_0 @t2)) % 4.85/5.08 (define @t9 () (tptp.r2_hidden (tptp.k8_funct_2 @t8 @t7 @t3 @t5) @t6)) % 4.85/5.08 (define @t10 () (tptp.m1_subset_1 @t5 @t8)) % 4.85/5.08 (define @t11 () (@list @t5)) % 4.85/5.08 (define @t12 () (forall @t11 (=> @t10 @t9))) % 4.85/5.08 (define @t13 () (=> @t12 @t4)) % 4.85/5.08 (define @t14 () (tptp.m2_relset_1 @t3 @t8 @t7)) % 4.85/5.08 (define @t15 () (tptp.v5_pre_topc @t3 @t2 @t1)) % 4.85/5.08 (define @t16 () (tptp.v1_funct_2 @t3 @t8 @t7)) % 4.85/5.08 (define @t17 () (tptp.v1_funct_1 @t3)) % 4.85/5.08 (define @t18 () (and @t17 @t16 @t15 @t14)) % 4.85/5.08 (define @t19 () (=> @t18 @t13)) % 4.85/5.08 (define @t20 () (@list @t3)) % 4.85/5.08 (define @t21 () (forall @t20 @t19)) % 4.85/5.08 (define @t22 () (tptp.m2_tsp_1 @t1 @t2)) % 4.85/5.08 (define @t23 () (tptp.v2_tsp_2 @t1 @t2)) % 4.85/5.08 (define @t24 () (tptp.v3_struct_0 @t1)) % 4.85/5.08 (define @t25 () (not @t24)) % 4.85/5.08 (define @t26 () (and @t25 @t23 @t22)) % 4.85/5.08 (define @t27 () (=> @t26 @t21)) % 4.85/5.08 (define @t28 () (@list @t1)) % 4.85/5.08 (define @t29 () (forall @t28 @t27)) % 4.85/5.08 (define @t30 () (tptp.l1_pre_topc @t2)) % 4.85/5.08 (define @t31 () (tptp.v2_pre_topc @t2)) % 4.85/5.08 (define @t32 () (tptp.v3_struct_0 @t2)) % 4.85/5.08 (define @t33 () (not @t32)) % 4.85/5.08 (define @t34 () (and @t33 @t31 @t30)) % 4.85/5.08 (define @t35 () (=> @t34 @t29)) % 4.85/5.08 (define @t36 () (@list @t2)) % 4.85/5.08 (define @t37 () (forall @t36 @t35)) % 4.85/5.08 (define @t38 () (not @t37)) % 4.85/5.08 (define @t39 () (tptp.r2_hidden @t2 @t1)) % 4.85/5.08 (define @t40 () (@list @t2 @t1)) % 4.85/5.08 (define @t41 () (tptp.v1_xcmplx_0 @t1)) % 4.85/5.08 (define @t42 () (tptp.m1_subset_1 @t1 @t2)) % 4.85/5.08 (define @t43 () (tptp.v1_membered @t2)) % 4.85/5.08 (define @t44 () (tptp.v3_tdlat_3 @t2)) % 4.85/5.08 (define @t45 () (tptp.v2_tdlat_3 @t2)) % 4.85/5.08 (define @t46 () (not @t45)) % 4.85/5.08 (define @t47 () (tptp.v1_tdlat_3 @t2)) % 4.85/5.08 (define @t48 () (not @t47)) % 4.85/5.08 (define @t49 () (tptp.v3_realset2 @t2)) % 4.85/5.08 (define @t50 () (not @t49)) % 4.85/5.08 (define @t51 () (tptp.v2_t_0topsp @t2)) % 4.85/5.08 (define @t52 () (tptp.v1_borsuk_1 @t1 @t2)) % 4.85/5.08 (define @t53 () (tptp.v2_pre_topc @t1)) % 4.85/5.08 (define @t54 () (tptp.v2_tex_2 @t1 @t2)) % 4.85/5.08 (define @t55 () (and @t54 @t23)) % 4.85/5.08 (define @t56 () (tptp.m1_pre_topc @t1 @t2)) % 4.85/5.08 (define @t57 () (tptp.v1_xreal_0 @t1)) % 4.85/5.08 (define @t58 () (tptp.v2_membered @t2)) % 4.85/5.08 (define @t59 () (tptp.v2_t_0topsp @t1)) % 4.85/5.08 (define @t60 () (and @t25 @t59)) % 4.85/5.08 (define @t61 () (tptp.v1_rat_1 @t1)) % 4.85/5.08 (define @t62 () (tptp.v3_membered @t2)) % 4.85/5.08 (define @t63 () (not @t59)) % 4.85/5.08 (define @t64 () (not @t54)) % 4.85/5.08 (define @t65 () (not @t51)) % 4.85/5.08 (define @t66 () (and @t33 @t31 @t65 @t30)) % 4.85/5.08 (define @t67 () (tptp.v1_int_1 @t1)) % 4.85/5.08 (define @t68 () (tptp.v4_membered @t2)) % 4.85/5.08 (define @t69 () (tptp.v5_membered @t2)) % 4.85/5.08 (define @t70 () (tptp.v1_xboole_0 @t2)) % 4.85/5.08 (define @t71 () (tptp.v1_membered @t1)) % 4.85/5.08 (define @t72 () (tptp.k1_zfmisc_1 @t2)) % 4.85/5.08 (define @t73 () (tptp.m1_subset_1 @t1 @t72)) % 4.85/5.08 (define @t74 () (tptp.v2_membered @t1)) % 4.85/5.08 (define @t75 () (tptp.v3_membered @t1)) % 4.85/5.08 (define @t76 () (tptp.v4_membered @t1)) % 4.85/5.08 (define @t77 () (and @t31 @t30)) % 4.85/5.08 (define @t78 () (tptp.k2_zfmisc_1 @t2 @t1)) % 4.85/5.08 (define @t79 () (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 @t78))) % 4.85/5.08 (define @t80 () (@list @t2 @t1 @t3)) % 4.85/5.08 (define @t81 () (tptp.v4_pre_topc @t1 @t2)) % 4.85/5.08 (define @t82 () (tptp.v3_pre_topc @t1 @t2)) % 4.85/5.08 (define @t83 () (tptp.v1_xboole_0 @t1)) % 4.85/5.08 (define @t84 () (tptp.k1_zfmisc_1 @t8)) % 4.85/5.08 (define @t85 () (tptp.m1_subset_1 @t1 @t84)) % 4.85/5.08 (define @t86 () (and @t33 @t30)) % 4.85/5.08 (define @t87 () (tptp.v5_membered @t1)) % 4.85/5.08 (define @t88 () (tptp.v2_tops_1 @t1 @t2)) % 4.85/5.08 (define @t89 () (not @t23)) % 4.85/5.08 (define @t90 () (tptp.v3_tops_1 @t1 @t2)) % 4.85/5.08 (define @t91 () (tptp.v1_tex_3 @t1 @t2)) % 4.85/5.08 (define @t92 () (and @t53 @t89)) % 4.85/5.08 (define @t93 () (and @t53 @t64)) % 4.85/5.08 (define @t94 () (tptp.v1_tsep_1 @t1 @t2)) % 4.85/5.08 (define @t95 () (tptp.v5_tdlat_3 @t2)) % 4.85/5.08 (define @t96 () (tptp.v4_tdlat_3 @t2)) % 4.85/5.08 (define @t97 () (tptp.k3_xboole_0 @t1 @t2)) % 4.85/5.08 (define @t98 () (tptp.k3_xboole_0 @t2 @t1)) % 4.85/5.08 (define @t99 () (tptp.k5_subset_1 @t2 @t1 @t3)) % 4.85/5.08 (define @t100 () (and @t73 (tptp.m1_subset_1 @t3 @t72))) % 4.85/5.08 (define @t101 () (tptp.k1_struct_0 @t2 @t3)) % 4.85/5.08 (define @t102 () (tptp.k4_tex_4 @t2 @t3)) % 4.85/5.08 (define @t103 () (= (tptp.k5_subset_1 @t8 @t1 @t102) @t101)) % 4.85/5.08 (define @t104 () (tptp.r2_hidden @t3 @t1)) % 4.85/5.08 (define @t105 () (=> @t104 @t103)) % 4.85/5.08 (define @t106 () (tptp.m1_subset_1 @t3 @t8)) % 4.85/5.08 (define @t107 () (forall @t20 (=> @t106 @t105))) % 4.85/5.08 (define @t108 () (tptp.v1_tsp_1 @t1 @t2)) % 4.85/5.08 (define @t109 () (= @t108 @t107)) % 4.85/5.08 (define @t110 () (=> @t85 @t109)) % 4.85/5.08 (define @t111 () (forall @t28 @t110)) % 4.85/5.08 (define @t112 () (=> @t34 @t111)) % 4.85/5.08 (define @t113 () (forall @t36 @t112)) % 4.85/5.08 (define @t114 () (tptp.r1_tarski @t2 @t1)) % 4.85/5.08 (define @t115 () (= @t1 @t3)) % 4.85/5.08 (define @t116 () (tptp.r1_tarski @t1 @t3)) % 4.85/5.08 (define @t117 () (tptp.v1_tsp_1 @t3 @t2)) % 4.85/5.08 (define @t118 () (and @t117 @t116)) % 4.85/5.08 (define @t119 () (=> @t118 @t115)) % 4.85/5.08 (define @t120 () (tptp.m1_subset_1 @t3 @t84)) % 4.85/5.08 (define @t121 () (forall @t20 (=> @t120 @t119))) % 4.85/5.08 (define @t122 () (and @t108 @t121)) % 4.85/5.08 (define @t123 () (tptp.v1_tsp_2 @t1 @t2)) % 4.85/5.08 (define @t124 () (= @t123 @t122)) % 4.85/5.08 (define @t125 () (=> @t85 @t124)) % 4.85/5.08 (define @t126 () (forall @t28 @t125)) % 4.85/5.08 (define @t127 () (=> @t30 @t126)) % 4.85/5.08 (define @t128 () (forall @t36 @t127)) % 4.85/5.08 (define @t129 () (tptp.k1_struct_0 @t2 @t1)) % 4.85/5.08 (define @t130 () (tptp.m1_subset_1 @t1 @t8)) % 4.85/5.08 (define @t131 () (tptp.l1_struct_0 @t2)) % 4.85/5.08 (define @t132 () (and @t33 @t131 @t130)) % 4.85/5.08 (define @t133 () (tptp.k2_tex_4 @t2 @t1)) % 4.85/5.08 (define @t134 () (and @t30 @t130)) % 4.85/5.08 (define @t135 () (tptp.k4_tex_4 @t2 @t1)) % 4.85/5.08 (define @t136 () (and (not (tptp.v1_xboole_0 @t135)) (tptp.m1_subset_1 @t135 @t84))) % 4.85/5.08 (define @t137 () (and @t33 @t31 @t30 @t130)) % 4.85/5.08 (define @t138 () (forall @t40 (=> @t137 @t136))) % 4.85/5.08 (define @t139 () (tptp.k8_funct_2 @t2 @t1 @t3 @t5)) % 4.85/5.08 (define @t140 () (tptp.m1_subset_1 @t139 @t1)) % 4.85/5.08 (define @t141 () (tptp.m1_subset_1 @t5 @t2)) % 4.85/5.08 (define @t142 () (tptp.m1_relset_1 @t3 @t2 @t1)) % 4.85/5.08 (define @t143 () (tptp.v1_funct_2 @t3 @t2 @t1)) % 4.85/5.08 (define @t144 () (not @t70)) % 4.85/5.08 (define @t145 () (and @t144 @t17 @t143 @t142 @t141)) % 4.85/5.08 (define @t146 () (@list @t2 @t1 @t3 @t5)) % 4.85/5.08 (define @t147 () (forall @t146 (=> @t145 @t140))) % 4.85/5.08 (define @t148 () (forall @t36 (=> @t30 @t131))) % 4.85/5.08 (define @t149 () (tptp.l1_pre_topc @t1)) % 4.85/5.08 (define @t150 () (tptp.m2_relset_1 @t3 @t2 @t1)) % 4.85/5.08 (define @t151 () (forall @t28 (=> @t22 @t149))) % 4.85/5.08 (define @t152 () (=> @t30 @t151)) % 4.85/5.08 (define @t153 () (forall @t36 @t152)) % 4.85/5.08 (define @t154 () (tptp.k1_tarski @t2)) % 4.85/5.08 (define @t155 () (tptp.v4_membered @t154)) % 4.85/5.08 (define @t156 () (tptp.v3_membered @t154)) % 4.85/5.08 (define @t157 () (tptp.v2_membered @t154)) % 4.85/5.08 (define @t158 () (tptp.v1_membered @t154)) % 4.85/5.08 (define @t159 () (not (tptp.v1_xboole_0 @t8))) % 4.85/5.08 (define @t160 () (and @t33 @t131)) % 4.85/5.08 (define @t161 () (forall @t36 (=> @t160 @t159))) % 4.85/5.08 (define @t162 () (tptp.v1_membered @t98)) % 4.85/5.08 (define @t163 () (tptp.v1_membered @t97)) % 4.85/5.08 (define @t164 () (tptp.v2_membered @t98)) % 4.85/5.08 (define @t165 () (tptp.v2_membered @t97)) % 4.85/5.08 (define @t166 () (tptp.v3_membered @t98)) % 4.85/5.08 (define @t167 () (tptp.v3_membered @t97)) % 4.85/5.08 (define @t168 () (tptp.v4_membered @t98)) % 4.85/5.08 (define @t169 () (tptp.v4_membered @t97)) % 4.85/5.08 (define @t170 () (not @t83)) % 4.85/5.08 (define @t171 () (= @t129 (tptp.k1_tarski @t1))) % 4.85/5.08 (define @t172 () (forall @t40 (=> @t132 @t171))) % 4.85/5.08 (define @t173 () (=> @t137 (= @t135 @t133))) % 4.85/5.08 (define @t174 () (forall @t40 @t173)) % 4.85/5.08 (define @t175 () (forall @t80 (= @t150 @t142))) % 4.85/5.08 (define @t176 () (forall @t28 (= @t22 @t56))) % 4.85/5.08 (define @t177 () (forall @t36 (=> @t30 @t176))) % 4.85/5.08 (define @t178 () (tptp.v1_tsp_2 @t3 @t2)) % 4.85/5.08 (define @t179 () (= @t3 @t7)) % 4.85/5.08 (define @t180 () (=> @t179 (= @t178 @t23))) % 4.85/5.08 (define @t181 () (=> @t120 @t180)) % 4.85/5.08 (define @t182 () (forall @t20 @t181)) % 4.85/5.08 (define @t183 () (=> @t22 @t182)) % 4.85/5.08 (define @t184 () (forall @t28 @t183)) % 4.85/5.08 (define @t185 () (=> @t86 @t184)) % 4.85/5.08 (define @t186 () (forall @t36 @t185)) % 4.85/5.08 (define @t187 () (tptp.m1_subset_1 @t2 @t1)) % 4.85/5.08 (define @t188 () (tptp.m1_subset_1 @t7 @t84)) % 4.85/5.08 (define @t189 () (forall @t28 (=> @t56 @t188))) % 4.85/5.08 (define @t190 () (=> @t30 @t189)) % 4.85/5.08 (define @t191 () (forall @t36 @t190)) % 4.85/5.08 (define @t192 () (@var "E" $$unsorted)) % 4.85/5.08 (define @t193 () (tptp.k1_struct_0 @t1 (tptp.k8_funct_2 @t8 @t7 @t3 @t192))) % 4.85/5.08 (define @t194 () (tptp.k4_tex_4 @t2 @t192)) % 4.85/5.08 (define @t195 () (= (tptp.k5_subset_1 @t8 @t5 @t194) @t193)) % 4.85/5.08 (define @t196 () (tptp.m1_subset_1 @t192 @t8)) % 4.85/5.08 (define @t197 () (@list @t192)) % 4.85/5.08 (define @t198 () (forall @t197 (=> @t196 @t195))) % 4.85/5.08 (define @t199 () (= @t5 @t7)) % 4.85/5.08 (define @t200 () (and @t199 @t198)) % 4.85/5.08 (define @t201 () (=> @t200 @t4)) % 4.85/5.08 (define @t202 () (tptp.m1_subset_1 @t5 @t84)) % 4.85/5.08 (define @t203 () (=> @t202 @t201)) % 4.85/5.08 (define @t204 () (forall @t11 @t203)) % 4.85/5.08 (define @t205 () (=> @t18 @t204)) % 4.85/5.08 (define @t206 () (forall @t20 @t205)) % 4.85/5.08 (define @t207 () (=> @t26 @t206)) % 4.85/5.08 (define @t208 () (forall @t28 @t207)) % 4.85/5.08 (define @t209 () (=> @t34 @t208)) % 4.85/5.08 (define @t210 () (forall @t36 @t209)) % 4.85/5.08 (define @t211 () (tptp.k2_tex_4 @t2 @t3)) % 4.85/5.08 (define @t212 () (tptp.r2_hidden @t3 @t133)) % 4.85/5.08 (define @t213 () (= @t212 (= @t211 @t133))) % 4.85/5.08 (define @t214 () (=> @t106 @t213)) % 4.85/5.08 (define @t215 () (forall @t20 @t214)) % 4.85/5.08 (define @t216 () (=> @t130 @t215)) % 4.85/5.08 (define @t217 () (forall @t28 @t216)) % 4.85/5.08 (define @t218 () (=> @t86 @t217)) % 4.85/5.08 (define @t219 () (forall @t36 @t218)) % 4.85/5.08 (define @t220 () (or @t83 @t39)) % 4.85/5.08 (define @t221 () (forall @t40 (=> @t187 @t220))) % 4.85/5.08 (define @t222 () (tptp.m1_subset_1 @t2 @t3)) % 4.85/5.08 (define @t223 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t3))) % 4.85/5.08 (define @t224 () (and @t39 @t223)) % 4.85/5.08 (define @t225 () (forall @t80 (=> @t224 @t222))) % 4.85/5.08 (define @t226 () (@var "BOUND_VARIABLE_9628" $$unsorted)) % 4.85/5.08 (define @t227 () (@var "BOUND_VARIABLE_9626" $$unsorted)) % 4.85/5.08 (define @t228 () (tptp.u1_struct_0 @t227)) % 4.85/5.08 (define @t229 () (not @t196)) % 4.85/5.08 (define @t230 () (not (forall @t197 (or @t229 (= (tptp.k5_subset_1 @t8 @t228 @t194) (tptp.k1_struct_0 @t227 (tptp.k8_funct_2 @t8 @t228 @t226 @t192))))))) % 4.85/5.08 (define @t231 () (tptp.v3_borsuk_1 @t226 @t2 @t227)) % 4.85/5.08 (define @t232 () (not (tptp.m2_relset_1 @t226 @t8 @t228))) % 4.85/5.08 (define @t233 () (not (tptp.v5_pre_topc @t226 @t2 @t227))) % 4.85/5.08 (define @t234 () (not (tptp.v1_funct_2 @t226 @t8 @t228))) % 4.85/5.08 (define @t235 () (not (tptp.v1_funct_1 @t226))) % 4.85/5.08 (define @t236 () (not (tptp.m1_subset_1 @t228 @t84))) % 4.85/5.08 (define @t237 () (not (tptp.m2_tsp_1 @t227 @t2))) % 4.85/5.08 (define @t238 () (not (tptp.v2_tsp_2 @t227 @t2))) % 4.85/5.08 (define @t239 () (tptp.v3_struct_0 @t227)) % 4.85/5.08 (define @t240 () (not @t30)) % 4.85/5.08 (define @t241 () (not @t31)) % 4.85/5.08 (define @t242 () (or @t239 @t238 @t237 @t236 @t235 @t234 @t233 @t232 @t231 @t230)) % 4.85/5.08 (define @t243 () (or @t32 @t241 @t240 @t242)) % 4.85/5.08 (define @t244 () (forall (@list @t2 @t227 @t226) @t243)) % 4.85/5.08 (define @t245 () (@list @t227 @t226)) % 4.85/5.08 (define @t246 () (forall @t245 @t243)) % 4.85/5.08 (define @t247 () (forall @t245 @t242)) % 4.85/5.08 (define @t248 () (@var "BOUND_VARIABLE_9594" $$unsorted)) % 4.85/5.08 (define @t249 () (or @t32 @t241 @t240 @t247)) % 4.85/5.08 (define @t250 () (tptp.k1_struct_0 @t1 (tptp.k8_funct_2 @t8 @t7 @t248 @t192))) % 4.85/5.08 (define @t251 () (tptp.k5_subset_1 @t8 @t7 @t194)) % 4.85/5.08 (define @t252 () (tptp.v3_borsuk_1 @t248 @t2 @t1)) % 4.85/5.08 (define @t253 () (not (tptp.m2_relset_1 @t248 @t8 @t7))) % 4.85/5.08 (define @t254 () (not (tptp.v5_pre_topc @t248 @t2 @t1))) % 4.85/5.08 (define @t255 () (not (tptp.v1_funct_2 @t248 @t8 @t7))) % 4.85/5.08 (define @t256 () (not (tptp.v1_funct_1 @t248))) % 4.85/5.08 (define @t257 () (not @t188)) % 4.85/5.08 (define @t258 () (not @t22)) % 4.85/5.08 (define @t259 () (@list @t1 @t248)) % 4.85/5.08 (define @t260 () (forall @t259 (or @t24 @t89 @t258 @t257 @t256 @t255 @t254 @t253 @t252 (not (forall @t197 (or @t229 (= @t251 @t250))))))) % 4.85/5.08 (define @t261 () (or @t32 @t241 @t240 @t260)) % 4.85/5.08 (define @t262 () (or @t32 @t241 @t240)) % 4.85/5.08 (define @t263 () (not @t33)) % 4.85/5.08 (define @t264 () (or @t263 @t241 @t240)) % 4.85/5.08 (define @t265 () (not @t34)) % 4.85/5.08 (define @t266 () (or @t229 (= @t250 @t251))) % 4.85/5.08 (define @t267 () (forall @t197 @t266)) % 4.85/5.08 (define @t268 () (not @t267)) % 4.85/5.08 (define @t269 () (or @t24 @t89 @t258 @t257 @t256 @t255 @t254 @t253 @t252 @t268)) % 4.85/5.08 (define @t270 () (or @t256 @t255 @t254 @t253 @t252 @t268)) % 4.85/5.08 (define @t271 () (or @t24 @t89 @t258 @t257 @t270)) % 4.85/5.08 (define @t272 () (forall @t259 @t271)) % 4.85/5.08 (define @t273 () (@list @t248)) % 4.85/5.08 (define @t274 () (forall @t273 @t271)) % 4.85/5.08 (define @t275 () (forall @t273 @t270)) % 4.85/5.08 (define @t276 () (@list @t3)) % 4.85/5.08 (define @t277 () (or @t24 @t89 @t258 @t257 @t275)) % 4.85/5.08 (define @t278 () (not (forall @t197 (or @t229 (= @t193 @t251))))) % 4.85/5.08 (define @t279 () (not @t14)) % 4.85/5.08 (define @t280 () (not @t15)) % 4.85/5.08 (define @t281 () (not @t16)) % 4.85/5.08 (define @t282 () (not @t17)) % 4.85/5.08 (define @t283 () (or @t282 @t281 @t280 @t279 @t4 @t278)) % 4.85/5.08 (define @t284 () (forall @t20 @t283)) % 4.85/5.08 (define @t285 () (or @t24 @t89 @t258 @t257 @t284)) % 4.85/5.08 (define @t286 () (or @t257 @t284)) % 4.85/5.08 (define @t287 () (or @t24 @t89 @t258)) % 4.85/5.08 (define @t288 () (not @t25)) % 4.85/5.08 (define @t289 () (or @t288 @t89 @t258)) % 4.85/5.08 (define @t290 () (not @t26)) % 4.85/5.08 (define @t291 () (or @t257 @t283)) % 4.85/5.08 (define @t292 () (or @t282 @t281 @t280 @t279 @t4 @t257 @t278)) % 4.85/5.08 (define @t293 () (or @t4 @t257 @t278)) % 4.85/5.08 (define @t294 () (or @t282 @t281 @t280 @t279)) % 4.85/5.08 (define @t295 () (not @t18)) % 4.85/5.08 (define @t296 () (or @t257 @t278)) % 4.85/5.08 (define @t297 () (or @t229 (= @t251 @t193))) % 4.85/5.08 (define @t298 () (forall @t197 @t297)) % 4.85/5.08 (define @t299 () (not @t298)) % 4.85/5.08 (define @t300 () (not (= @t7 @t7))) % 4.85/5.08 (define @t301 () (or @t257 @t300 @t299)) % 4.85/5.08 (define @t302 () (forall @t197 (or @t229 @t195))) % 4.85/5.08 (define @t303 () (not @t302)) % 4.85/5.08 (define @t304 () (= @t7 @t5)) % 4.85/5.08 (define @t305 () (not @t304)) % 4.85/5.08 (define @t306 () (not @t202)) % 4.85/5.08 (define @t307 () (or @t305 @t306 @t305 @t303)) % 4.85/5.08 (define @t308 () (or @t306 @t305 @t303)) % 4.85/5.08 (define @t309 () (forall @t11 @t308)) % 4.85/5.08 (define @t310 () (or @t4 @t309)) % 4.85/5.08 (define @t311 () (or @t4 @t308)) % 4.85/5.08 (define @t312 () (or @t306 @t305 @t303 @t4)) % 4.85/5.08 (define @t313 () (or @t305 @t303 @t4)) % 4.85/5.08 (define @t314 () (and @t304 @t302)) % 4.85/5.08 (define @t315 () (=> @t314 @t4)) % 4.85/5.08 (define @t316 () (@var "BOUND_VARIABLE_8216" $$unsorted)) % 4.85/5.08 (define @t317 () (@var "BOUND_VARIABLE_8218" $$unsorted)) % 4.85/5.08 (define @t318 () (tptp.v3_borsuk_1 @t317 @t2 @t316)) % 4.85/5.08 (define @t319 () (tptp.u1_struct_0 @t316)) % 4.85/5.08 (define @t320 () (not @t10)) % 4.85/5.08 (define @t321 () (not (forall @t11 (or @t320 (tptp.r2_hidden (tptp.k8_funct_2 @t8 @t319 @t317 @t5) @t6))))) % 4.85/5.08 (define @t322 () (not (tptp.m2_relset_1 @t317 @t8 @t319))) % 4.85/5.08 (define @t323 () (not (tptp.v5_pre_topc @t317 @t2 @t316))) % 4.85/5.08 (define @t324 () (not (tptp.v1_funct_2 @t317 @t8 @t319))) % 4.85/5.08 (define @t325 () (not (tptp.v1_funct_1 @t317))) % 4.85/5.08 (define @t326 () (not (tptp.m2_tsp_1 @t316 @t2))) % 4.85/5.08 (define @t327 () (not (tptp.v2_tsp_2 @t316 @t2))) % 4.85/5.08 (define @t328 () (tptp.v3_struct_0 @t316)) % 4.85/5.08 (define @t329 () (or @t32 @t241 @t240 @t328 @t327 @t326 @t325 @t324 @t323 @t322 @t321 @t318)) % 4.85/5.08 (define @t330 () (@list @t2 @t316 @t317)) % 4.85/5.08 (define @t331 () (forall @t330 @t329)) % 4.85/5.08 (define @t332 () (@quantifiers_skolemize @t331 2)) % 4.85/5.08 (define @t333 () (@quantifiers_skolemize @t331 1)) % 4.85/5.08 (define @t334 () (@quantifiers_skolemize @t331 0)) % 4.85/5.08 (define @t335 () (@var "BOUND_VARIABLE_9537" $$unsorted)) % 4.85/5.08 (define @t336 () (tptp.m1_subset_1 (tptp.u1_struct_0 @t335) @t84)) % 4.85/5.08 (define @t337 () (not (tptp.m1_pre_topc @t335 @t2))) % 4.85/5.08 (define @t338 () (or @t337 @t336)) % 4.85/5.08 (define @t339 () (or @t240 @t338)) % 4.85/5.08 (define @t340 () (forall (@list @t2 @t335) @t339)) % 4.85/5.08 (define @t341 () (@list @t335)) % 4.85/5.08 (define @t342 () (forall @t341 @t339)) % 4.85/5.08 (define @t343 () (forall @t341 @t338)) % 4.85/5.08 (define @t344 () (@list @t1)) % 4.85/5.08 (define @t345 () (or @t240 @t343)) % 4.85/5.08 (define @t346 () (forall @t28 (or (not @t56) @t188))) % 4.85/5.08 (define @t347 () (@list @t334 @t333)) % 4.85/5.08 (define @t348 () (@var "BOUND_VARIABLE_9476" $$unsorted)) % 4.85/5.08 (define @t349 () (= (tptp.m2_tsp_1 @t348 @t2) (tptp.m1_pre_topc @t348 @t2))) % 4.85/5.08 (define @t350 () (or @t240 @t349)) % 4.85/5.08 (define @t351 () (@list @t348)) % 4.85/5.08 (define @t352 () (forall @t351 @t350)) % 4.85/5.08 (define @t353 () (forall @t351 @t349)) % 4.85/5.08 (define @t354 () (or @t240 @t353)) % 4.85/5.08 (define @t355 () (or @t328 @t327 @t326 @t325 @t324 @t323 @t322 @t321 @t318)) % 4.85/5.08 (define @t356 () (or @t32 @t241 @t240 @t355)) % 4.85/5.08 (define @t357 () (forall @t330 @t356)) % 4.85/5.08 (define @t358 () (@list @t316 @t317)) % 4.85/5.08 (define @t359 () (forall @t358 @t356)) % 4.85/5.08 (define @t360 () (forall @t358 @t355)) % 4.85/5.08 (define @t361 () (@var "BOUND_VARIABLE_8186" $$unsorted)) % 4.85/5.08 (define @t362 () (or @t32 @t241 @t240 @t360)) % 4.85/5.08 (define @t363 () (tptp.v3_borsuk_1 @t361 @t2 @t1)) % 4.85/5.08 (define @t364 () (not (forall @t11 (or @t320 (tptp.r2_hidden (tptp.k8_funct_2 @t8 @t7 @t361 @t5) @t6))))) % 4.85/5.08 (define @t365 () (not (tptp.m2_relset_1 @t361 @t8 @t7))) % 4.85/5.08 (define @t366 () (not (tptp.v5_pre_topc @t361 @t2 @t1))) % 4.85/5.08 (define @t367 () (not (tptp.v1_funct_2 @t361 @t8 @t7))) % 4.85/5.08 (define @t368 () (not (tptp.v1_funct_1 @t361))) % 4.85/5.08 (define @t369 () (or @t24 @t89 @t258 @t368 @t367 @t366 @t365 @t364 @t363)) % 4.85/5.08 (define @t370 () (@list @t1 @t361)) % 4.85/5.08 (define @t371 () (forall @t370 @t369)) % 4.85/5.08 (define @t372 () (or @t32 @t241 @t240 @t371)) % 4.85/5.08 (define @t373 () (or @t368 @t367 @t366 @t365 @t364 @t363)) % 4.85/5.08 (define @t374 () (or @t24 @t89 @t258 @t373)) % 4.85/5.08 (define @t375 () (forall @t370 @t374)) % 4.85/5.08 (define @t376 () (@list @t361)) % 4.85/5.08 (define @t377 () (forall @t376 @t374)) % 4.85/5.08 (define @t378 () (forall @t376 @t373)) % 4.85/5.08 (define @t379 () (or @t24 @t89 @t258 @t378)) % 4.85/5.08 (define @t380 () (forall @t11 (or @t320 @t9))) % 4.85/5.08 (define @t381 () (not @t380)) % 4.85/5.08 (define @t382 () (or @t282 @t281 @t280 @t279 @t381 @t4)) % 4.85/5.08 (define @t383 () (forall @t20 @t382)) % 4.85/5.08 (define @t384 () (or @t24 @t89 @t258 @t383)) % 4.85/5.08 (define @t385 () (=> @t380 @t4)) % 4.85/5.08 (define @t386 () (tptp.l1_pre_topc @t334)) % 4.85/5.08 (define @t387 () (tptp.v3_borsuk_1 @t332 @t334 @t333)) % 4.85/5.08 (define @t388 () (tptp.u1_struct_0 @t333)) % 4.85/5.08 (define @t389 () (tptp.u1_struct_0 @t334)) % 4.85/5.08 (define @t390 () (forall @t11 (or (not (tptp.m1_subset_1 @t5 @t389)) (tptp.r2_hidden (tptp.k8_funct_2 @t389 @t388 @t332 @t5) (tptp.k4_tex_4 @t334 @t5))))) % 4.85/5.08 (define @t391 () (not @t390)) % 4.85/5.08 (define @t392 () (tptp.m2_relset_1 @t332 @t389 @t388)) % 4.85/5.08 (define @t393 () (not @t392)) % 4.85/5.08 (define @t394 () (tptp.v5_pre_topc @t332 @t334 @t333)) % 4.85/5.08 (define @t395 () (not @t394)) % 4.85/5.08 (define @t396 () (tptp.v1_funct_2 @t332 @t389 @t388)) % 4.85/5.08 (define @t397 () (not @t396)) % 4.85/5.08 (define @t398 () (tptp.v1_funct_1 @t332)) % 4.85/5.08 (define @t399 () (not @t398)) % 4.85/5.08 (define @t400 () (tptp.m2_tsp_1 @t333 @t334)) % 4.85/5.08 (define @t401 () (not @t400)) % 4.85/5.08 (define @t402 () (tptp.v2_tsp_2 @t333 @t334)) % 4.85/5.08 (define @t403 () (not @t402)) % 4.85/5.08 (define @t404 () (tptp.v3_struct_0 @t333)) % 4.85/5.08 (define @t405 () (not @t386)) % 4.85/5.08 (define @t406 () (tptp.v2_pre_topc @t334)) % 4.85/5.08 (define @t407 () (not @t406)) % 4.85/5.08 (define @t408 () (tptp.v3_struct_0 @t334)) % 4.85/5.08 (define @t409 () (or @t408 @t407 @t405 @t404 @t403 @t401 @t399 @t397 @t395 @t393 @t391 @t387)) % 4.85/5.08 (define @t410 () (@list true)) % 4.85/5.08 (define @t411 () (@list @t409)) % 4.85/5.08 (define @t412 () (tptp.m1_pre_topc @t333 @t334)) % 4.85/5.08 (define @t413 () (= @t400 @t412)) % 4.85/5.08 (define @t414 () (or @t405 @t413)) % 4.85/5.08 (define @t415 () (@list false false)) % 4.85/5.08 (define @t416 () (tptp.k1_zfmisc_1 @t389)) % 4.85/5.08 (define @t417 () (tptp.m1_subset_1 @t388 @t416)) % 4.85/5.08 (define @t418 () (not @t412)) % 4.85/5.08 (define @t419 () (or @t405 @t418 @t417)) % 4.85/5.08 (define @t420 () (@list false false false)) % 4.85/5.08 (define @t421 () (forall @t197 (or (not (tptp.m1_subset_1 @t192 @t389)) (= (tptp.k5_subset_1 @t389 @t388 (tptp.k4_tex_4 @t334 @t192)) (tptp.k1_struct_0 @t333 (tptp.k8_funct_2 @t389 @t388 @t332 @t192)))))) % 4.85/5.08 (define @t422 () (not @t421)) % 4.85/5.08 (define @t423 () (not @t417)) % 4.85/5.08 (define @t424 () (or @t408 @t407 @t405 @t404 @t403 @t401 @t423 @t399 @t397 @t395 @t393 @t387 @t422)) % 4.85/5.08 (define @t425 () (@quantifiers_skolemize @t421 0)) % 4.85/5.08 (define @t426 () (tptp.k8_funct_2 @t389 @t388 @t332 @t425)) % 4.85/5.08 (define @t427 () (tptp.k1_struct_0 @t333 @t426)) % 4.85/5.08 (define @t428 () (tptp.k4_tex_4 @t334 @t425)) % 4.85/5.08 (define @t429 () (tptp.k5_subset_1 @t389 @t388 @t428)) % 4.85/5.08 (define @t430 () (= @t429 @t427)) % 4.85/5.08 (define @t431 () (tptp.m1_subset_1 @t425 @t389)) % 4.85/5.08 (define @t432 () (not @t431)) % 4.85/5.08 (define @t433 () (or @t432 @t430)) % 4.85/5.08 (define @t434 () (@list @t433)) % 4.85/5.08 (define @t435 () (= @t133 @t135)) % 4.85/5.08 (define @t436 () (not @t130)) % 4.85/5.08 (define @t437 () (or @t32 @t241 @t240 @t436 @t435)) % 4.85/5.08 (define @t438 () (or @t32 @t241 @t240 @t436)) % 4.85/5.08 (define @t439 () (or @t263 @t241 @t240 @t436)) % 4.85/5.08 (define @t440 () (not @t137)) % 4.85/5.08 (define @t441 () (tptp.k2_tex_4 @t334 @t425)) % 4.85/5.08 (define @t442 () (or @t408 @t407 @t405 @t432 (= @t441 @t428))) % 4.85/5.08 (define @t443 () (forall @t40 @t437)) % 4.85/5.08 (define @t444 () (@list @t334 @t425)) % 4.85/5.08 (define @t445 () (= @t428 @t441)) % 4.85/5.08 (define @t446 () (or @t408 @t407 @t405 @t432 @t445)) % 4.85/5.08 (define @t447 () (@list false)) % 4.85/5.08 (define @t448 () (@list true false false false false)) % 4.85/5.08 (define @t449 () (not @t131)) % 4.85/5.08 (define @t450 () (or @t32 @t449 @t436 @t171)) % 4.85/5.08 (define @t451 () (or @t263 @t449 @t436)) % 4.85/5.08 (define @t452 () (not @t141)) % 4.85/5.08 (define @t453 () (not @t142)) % 4.85/5.08 (define @t454 () (not @t143)) % 4.85/5.08 (define @t455 () (not @t144)) % 4.85/5.08 (define @t456 () (or @t455 @t282 @t454 @t453 @t452)) % 4.85/5.08 (define @t457 () (tptp.m1_relset_1 @t332 @t389 @t388)) % 4.85/5.08 (define @t458 () (forall @t80 (= @t142 @t150))) % 4.85/5.08 (define @t459 () (= @t457 @t392)) % 4.85/5.08 (define @t460 () (= @t392 @t457)) % 4.85/5.08 (define @t461 () (@list @t334)) % 4.85/5.08 (define @t462 () (tptp.l1_struct_0 @t334)) % 4.85/5.08 (define @t463 () (or @t405 @t462)) % 4.85/5.08 (define @t464 () (tptp.v1_xboole_0 @t389)) % 4.85/5.08 (define @t465 () (not @t464)) % 4.85/5.08 (define @t466 () (not @t462)) % 4.85/5.08 (define @t467 () (or @t408 @t466 @t465)) % 4.85/5.08 (define @t468 () (@list true false false)) % 4.85/5.08 (define @t469 () (tptp.m1_subset_1 @t426 @t388)) % 4.85/5.08 (define @t470 () (not @t457)) % 4.85/5.08 (define @t471 () (or @t464 @t399 @t397 @t470 @t432 @t469)) % 4.85/5.08 (define @t472 () (@list @t333)) % 4.85/5.08 (define @t473 () (@var "BOUND_VARIABLE_9216" $$unsorted)) % 4.85/5.08 (define @t474 () (tptp.l1_pre_topc @t473)) % 4.85/5.08 (define @t475 () (not (tptp.m2_tsp_1 @t473 @t2))) % 4.85/5.08 (define @t476 () (or @t475 @t474)) % 4.85/5.08 (define @t477 () (or @t240 @t476)) % 4.85/5.08 (define @t478 () (forall (@list @t2 @t473) @t477)) % 4.85/5.08 (define @t479 () (@list @t473)) % 4.85/5.08 (define @t480 () (forall @t479 @t477)) % 4.85/5.08 (define @t481 () (forall @t479 @t476)) % 4.85/5.08 (define @t482 () (or @t240 @t481)) % 4.85/5.08 (define @t483 () (forall @t28 (or @t258 @t149))) % 4.85/5.08 (define @t484 () (tptp.l1_pre_topc @t333)) % 4.85/5.08 (define @t485 () (or @t405 @t401 @t484)) % 4.85/5.08 (define @t486 () (tptp.l1_struct_0 @t333)) % 4.85/5.08 (define @t487 () (not @t484)) % 4.85/5.08 (define @t488 () (or @t487 @t486)) % 4.85/5.08 (define @t489 () (tptp.k1_tarski @t426)) % 4.85/5.08 (define @t490 () (= @t427 @t489)) % 4.85/5.08 (define @t491 () (not @t469)) % 4.85/5.08 (define @t492 () (not @t486)) % 4.85/5.08 (define @t493 () (or @t404 @t492 @t491 @t490)) % 4.85/5.08 (define @t494 () (@list true false false false)) % 4.85/5.08 (define @t495 () (@var "BOUND_VARIABLE_9691" $$unsorted)) % 4.85/5.08 (define @t496 () (@var "BOUND_VARIABLE_9689" $$unsorted)) % 4.85/5.08 (define @t497 () (tptp.k2_tex_4 @t2 @t496)) % 4.85/5.08 (define @t498 () (= (tptp.r2_hidden @t495 @t497) (= @t497 (tptp.k2_tex_4 @t2 @t495)))) % 4.85/5.08 (define @t499 () (not (tptp.m1_subset_1 @t495 @t8))) % 4.85/5.08 (define @t500 () (not (tptp.m1_subset_1 @t496 @t8))) % 4.85/5.08 (define @t501 () (or @t500 @t499 @t498)) % 4.85/5.08 (define @t502 () (or @t32 @t240 @t501)) % 4.85/5.08 (define @t503 () (forall (@list @t2 @t496 @t495) @t502)) % 4.85/5.08 (define @t504 () (@list @t496 @t495)) % 4.85/5.08 (define @t505 () (forall @t504 @t502)) % 4.85/5.08 (define @t506 () (forall @t504 @t501)) % 4.85/5.08 (define @t507 () (@var "BOUND_VARIABLE_9671" $$unsorted)) % 4.85/5.08 (define @t508 () (or @t32 @t240 @t506)) % 4.85/5.08 (define @t509 () (= (tptp.r2_hidden @t507 @t133) (= @t133 (tptp.k2_tex_4 @t2 @t507)))) % 4.85/5.08 (define @t510 () (not (tptp.m1_subset_1 @t507 @t8))) % 4.85/5.08 (define @t511 () (or @t436 @t510 @t509)) % 4.85/5.08 (define @t512 () (@list @t1 @t507)) % 4.85/5.08 (define @t513 () (forall @t512 @t511)) % 4.85/5.08 (define @t514 () (or @t32 @t240 @t513)) % 4.85/5.08 (define @t515 () (or @t32 @t240)) % 4.85/5.08 (define @t516 () (not @t86)) % 4.85/5.08 (define @t517 () (or @t510 @t509)) % 4.85/5.08 (define @t518 () (or @t436 @t517)) % 4.85/5.08 (define @t519 () (forall @t512 @t518)) % 4.85/5.08 (define @t520 () (@list @t507)) % 4.85/5.08 (define @t521 () (forall @t520 @t518)) % 4.85/5.08 (define @t522 () (forall @t520 @t517)) % 4.85/5.08 (define @t523 () (or @t436 @t522)) % 4.85/5.08 (define @t524 () (= @t212 (= @t133 @t211))) % 4.85/5.08 (define @t525 () (not @t106)) % 4.85/5.08 (define @t526 () (forall @t20 (or @t525 @t524))) % 4.85/5.08 (define @t527 () (not @t223)) % 4.85/5.08 (define @t528 () (not @t39)) % 4.85/5.08 (define @t529 () (tptp.r2_hidden @t426 @t428)) % 4.85/5.08 (define @t530 () (or @t432 @t529)) % 4.85/5.08 (define @t531 () (tptp.m1_subset_1 @t428 @t416)) % 4.85/5.08 (define @t532 () (and (not (tptp.v1_xboole_0 @t428)) @t531)) % 4.85/5.08 (define @t533 () (or @t408 @t407 @t405 @t432 @t532)) % 4.85/5.08 (define @t534 () (tptp.m1_subset_1 @t426 @t389)) % 4.85/5.08 (define @t535 () (not @t531)) % 4.85/5.08 (define @t536 () (not @t529)) % 4.85/5.08 (define @t537 () (or @t536 @t535 @t534)) % 4.85/5.08 (define @t538 () (tptp.k2_tex_4 @t334 @t426)) % 4.85/5.08 (define @t539 () (= @t441 @t538)) % 4.85/5.08 (define @t540 () (tptp.r2_hidden @t426 @t441)) % 4.85/5.08 (define @t541 () (= @t540 @t539)) % 4.85/5.08 (define @t542 () (not @t534)) % 4.85/5.08 (define @t543 () (or @t408 @t405 @t432 @t542 @t541)) % 4.85/5.08 (define @t544 () (tptp.k1_struct_0 @t334 @t426)) % 4.85/5.08 (define @t545 () (or @t408 @t466 @t542 (= @t544 @t489))) % 4.85/5.08 (define @t546 () (forall @t40 @t450)) % 4.85/5.08 (define @t547 () (@list @t334 @t426)) % 4.85/5.08 (define @t548 () (= @t489 @t544)) % 4.85/5.08 (define @t549 () (or @t408 @t466 @t542 @t548)) % 4.85/5.08 (define @t550 () (tptp.k4_tex_4 @t334 @t426)) % 4.85/5.08 (define @t551 () (= @t538 @t550)) % 4.85/5.08 (define @t552 () (or @t408 @t407 @t405 @t542 @t551)) % 4.85/5.08 (define @t553 () (@var "BOUND_VARIABLE_9083" $$unsorted)) % 4.85/5.08 (define @t554 () (tptp.k5_subset_1 @t8 @t553 @t102)) % 4.85/5.08 (define @t555 () (not (tptp.r2_hidden @t3 @t553))) % 4.85/5.08 (define @t556 () (or @t525 @t555 (= @t554 @t101))) % 4.85/5.08 (define @t557 () (forall @t20 @t556)) % 4.85/5.08 (define @t558 () (tptp.v1_tsp_1 @t553 @t2)) % 4.85/5.08 (define @t559 () (= @t558 @t557)) % 4.85/5.08 (define @t560 () (not (tptp.m1_subset_1 @t553 @t84))) % 4.85/5.08 (define @t561 () (or @t32 @t241 @t240 @t560 @t559)) % 4.85/5.08 (define @t562 () (or @t560 @t559)) % 4.85/5.08 (define @t563 () (or @t32 @t241 @t240 @t562)) % 4.85/5.08 (define @t564 () (forall (@list @t2 @t553) @t563)) % 4.85/5.08 (define @t565 () (@list @t553)) % 4.85/5.08 (define @t566 () (forall @t565 @t563)) % 4.85/5.08 (define @t567 () (forall @t565 @t562)) % 4.85/5.08 (define @t568 () (or @t32 @t241 @t240 @t567)) % 4.85/5.08 (define @t569 () (not @t104)) % 4.85/5.08 (define @t570 () (or @t525 @t569 @t103)) % 4.85/5.08 (define @t571 () (= @t108 (forall @t20 @t570))) % 4.85/5.08 (define @t572 () (not @t85)) % 4.85/5.08 (define @t573 () (forall @t28 (or @t572 @t571))) % 4.85/5.08 (define @t574 () (or @t32 @t241 @t240 @t573)) % 4.85/5.08 (define @t575 () (@list @t334 @t388)) % 4.85/5.08 (define @t576 () (forall @t20 (or (not (tptp.m1_subset_1 @t3 @t389)) (not (tptp.r2_hidden @t3 @t388)) (= (tptp.k1_struct_0 @t334 @t3) (tptp.k5_subset_1 @t389 @t388 (tptp.k4_tex_4 @t334 @t3)))))) % 4.85/5.08 (define @t577 () (tptp.v1_tsp_1 @t388 @t334)) % 4.85/5.08 (define @t578 () (= @t577 @t576)) % 4.85/5.08 (define @t579 () (or @t408 @t407 @t405 @t423 @t578)) % 4.85/5.08 (define @t580 () (@var "BOUND_VARIABLE_9131" $$unsorted)) % 4.85/5.08 (define @t581 () (not (tptp.r1_tarski @t580 @t3))) % 4.85/5.08 (define @t582 () (not @t117)) % 4.85/5.08 (define @t583 () (not @t120)) % 4.85/5.08 (define @t584 () (or @t583 @t582 @t581 (= @t580 @t3))) % 4.85/5.08 (define @t585 () (forall @t20 @t584)) % 4.85/5.08 (define @t586 () (tptp.v1_tsp_1 @t580 @t2)) % 4.85/5.08 (define @t587 () (and @t586 @t585)) % 4.85/5.08 (define @t588 () (tptp.v1_tsp_2 @t580 @t2)) % 4.85/5.08 (define @t589 () (= @t588 @t587)) % 4.85/5.08 (define @t590 () (not (tptp.m1_subset_1 @t580 @t84))) % 4.85/5.08 (define @t591 () (or @t240 @t590 @t589)) % 4.85/5.08 (define @t592 () (or @t590 @t589)) % 4.85/5.08 (define @t593 () (or @t240 @t592)) % 4.85/5.08 (define @t594 () (forall (@list @t2 @t580) @t593)) % 4.85/5.08 (define @t595 () (@list @t580)) % 4.85/5.08 (define @t596 () (forall @t595 @t593)) % 4.85/5.08 (define @t597 () (forall @t595 @t592)) % 4.85/5.08 (define @t598 () (or @t240 @t597)) % 4.85/5.08 (define @t599 () (not @t116)) % 4.85/5.08 (define @t600 () (or @t583 @t582 @t599 @t115)) % 4.85/5.08 (define @t601 () (= @t123 (and @t108 (forall @t20 @t600)))) % 4.85/5.08 (define @t602 () (forall @t28 (or @t572 @t601))) % 4.85/5.08 (define @t603 () (or @t582 @t599 @t115)) % 4.85/5.08 (define @t604 () (and @t577 (forall @t20 (or (not (tptp.m1_subset_1 @t3 @t416)) (not (tptp.v1_tsp_1 @t3 @t334)) (not (tptp.r1_tarski @t388 @t3)) (= @t3 @t388))))) % 4.85/5.08 (define @t605 () (tptp.v1_tsp_2 @t388 @t334)) % 4.85/5.08 (define @t606 () (= @t605 @t604)) % 4.85/5.08 (define @t607 () (or @t405 @t423 @t606)) % 4.85/5.08 (define @t608 () (@var "BOUND_VARIABLE_9511" $$unsorted)) % 4.85/5.08 (define @t609 () (tptp.u1_struct_0 @t608)) % 4.85/5.08 (define @t610 () (= (tptp.v2_tsp_2 @t608 @t2) (tptp.v1_tsp_2 @t609 @t2))) % 4.85/5.08 (define @t611 () (not (tptp.m1_subset_1 @t609 @t84))) % 4.85/5.08 (define @t612 () (not (tptp.m2_tsp_1 @t608 @t2))) % 4.85/5.08 (define @t613 () (or @t612 @t611 @t610)) % 4.85/5.08 (define @t614 () (or @t32 @t240 @t613)) % 4.85/5.08 (define @t615 () (forall (@list @t2 @t608) @t614)) % 4.85/5.08 (define @t616 () (@list @t608)) % 4.85/5.08 (define @t617 () (forall @t616 @t614)) % 4.85/5.08 (define @t618 () (forall @t616 @t613)) % 4.85/5.08 (define @t619 () (or @t32 @t240 @t618)) % 4.85/5.08 (define @t620 () (= @t23 (tptp.v1_tsp_2 @t7 @t2))) % 4.85/5.08 (define @t621 () (or @t258 @t257 @t620)) % 4.85/5.08 (define @t622 () (forall @t28 @t621)) % 4.85/5.08 (define @t623 () (or @t32 @t240 @t622)) % 4.85/5.08 (define @t624 () (or @t257 @t620)) % 4.85/5.08 (define @t625 () (or @t257 @t300 @t620)) % 4.85/5.08 (define @t626 () (= @t23 @t178)) % 4.85/5.08 (define @t627 () (not @t179)) % 4.85/5.08 (define @t628 () (or @t627 @t583 @t627 @t626)) % 4.85/5.08 (define @t629 () (or @t583 @t627 @t626)) % 4.85/5.08 (define @t630 () (=> @t179 @t626)) % 4.85/5.08 (define @t631 () (= @t402 @t605)) % 4.85/5.08 (define @t632 () (or @t408 @t405 @t401 @t423 @t631)) % 4.85/5.08 (define @t633 () (not @t187)) % 4.85/5.08 (define @t634 () (tptp.v1_xboole_0 @t388)) % 4.85/5.08 (define @t635 () (not @t634)) % 4.85/5.08 (define @t636 () (or @t404 @t492 @t635)) % 4.85/5.08 (define @t637 () (tptp.r2_hidden @t426 @t388)) % 4.85/5.08 (define @t638 () (or @t491 @t634 @t637)) % 4.85/5.08 (define @t639 () (= @t544 (tptp.k5_subset_1 @t389 @t388 @t550))) % 4.85/5.08 (define @t640 () (not @t637)) % 4.85/5.08 (define @t641 () (or @t542 @t640 @t639)) % 4.85/5.08 (define @t642 () (and @t445 @t490 @t539 @t548 @t551 @t639)) % 4.85/5.08 (assume @p1 @t38) % 4.85/5.08 (assume @p2 (forall @t40 (=> @t39 (not (tptp.r2_hidden @t1 @t2))))) % 4.85/5.08 (assume @p3 (forall @t36 (=> @t43 (forall @t28 (=> @t42 @t41))))) % 4.85/5.08 (assume @p4 (forall @t36 (=> @t30 (=> (and @t33 @t31 @t48 @t51) (and @t33 @t50 @t31 @t48 @t46 (not @t44)))))) % 4.85/5.08 (assume @p5 (forall @t36 (=> @t34 (forall @t28 (=> @t56 (=> @t55 (and @t53 (not @t52)))))))) % 4.85/5.08 (assume @p6 (forall @t36 (=> @t58 (forall @t28 (=> @t42 (and @t41 @t57)))))) % 4.85/5.08 (assume @p7 (forall @t36 (=> (and @t33 @t31 @t51 @t30) (forall @t28 (=> @t56 (=> @t25 @t60)))))) % 4.85/5.08 (assume @p8 (forall @t36 (=> @t62 (forall @t28 (=> @t42 (and @t41 @t57 @t61)))))) % 4.85/5.08 (assume @p9 (forall @t36 (=> @t66 (forall @t28 (=> @t56 (=> (and @t25 @t64) (and @t25 (not (tptp.v3_realset2 @t1)) @t63))))))) % 4.85/5.08 (assume @p10 (forall @t36 (=> @t68 (forall @t28 (=> @t42 (and @t41 @t57 @t67 @t61)))))) % 4.85/5.08 (assume @p11 (forall @t36 (=> @t66 (forall @t28 (=> @t56 (=> @t60 (and @t25 @t54))))))) % 4.85/5.08 (assume @p12 (forall @t36 (=> @t69 (forall @t28 (=> @t42 (and @t41 (tptp.v4_ordinal2 @t1) @t57 @t67 @t61)))))) % 4.85/5.08 (assume @p13 (forall @t36 (=> @t70 (and @t43 @t58 @t62 @t68 @t69)))) % 4.85/5.08 (assume @p14 (forall @t36 (=> @t43 (forall @t28 (=> @t73 @t71))))) % 4.85/5.08 (assume @p15 (forall @t36 (=> @t58 (forall @t28 (=> @t73 (and @t71 @t74)))))) % 4.85/5.08 (assume @p16 (forall @t36 (=> @t62 (forall @t28 (=> @t73 (and @t71 @t74 @t75)))))) % 4.85/5.08 (assume @p17 (forall @t36 (=> @t68 (forall @t28 (=> @t73 (and @t71 @t74 @t75 @t76)))))) % 4.85/5.08 (assume @p18 (forall @t36 (=> @t69 @t68))) % 4.85/5.08 (assume @p19 (forall @t36 (=> @t77 (forall @t28 (=> @t56 @t53))))) % 4.85/5.08 (assume @p20 (forall @t80 (=> @t79 (tptp.v1_relat_1 @t3)))) % 4.85/5.08 (assume @p21 (forall @t36 (=> @t77 (forall @t28 (=> @t85 (=> @t83 (and @t82 @t81))))))) % 4.85/5.08 (assume @p22 (forall @t36 (=> @t30 (=> (and @t33 @t49) (and @t33 @t51))))) % 4.85/5.08 (assume @p23 (forall @t36 (=> @t86 (forall @t28 (=> @t56 (=> (and @t25 @t23) @t60)))))) % 4.85/5.08 (assume @p24 (forall @t36 (=> @t69 (forall @t28 (=> @t73 (and @t71 @t74 @t75 @t76 @t87)))))) % 4.85/5.08 (assume @p25 (forall @t36 (=> @t68 @t62))) % 4.85/5.08 (assume @p26 (forall @t36 (=> @t30 (forall @t28 (=> @t85 (=> @t83 @t88)))))) % 4.85/5.08 (assume @p27 (forall @t36 (=> @t30 (=> (and @t33 @t65) (and @t33 @t50))))) % 4.85/5.08 (assume @p28 (forall @t36 (=> @t86 (forall @t28 (=> @t56 (=> (and @t25 @t63) (and @t25 @t89))))))) % 4.85/5.08 (assume @p29 (forall @t36 (=> @t62 @t58))) % 4.85/5.08 (assume @p30 (forall @t36 (=> @t77 (forall @t28 (=> @t85 (=> @t83 @t90)))))) % 4.85/5.08 (assume @p31 (forall @t36 (=> @t30 (=> (and @t33 @t31 @t47) (and @t33 @t31 @t51))))) % 4.85/5.08 (assume @p32 (forall @t36 (=> @t34 (forall @t28 (=> @t56 (=> @t23 (and @t53 @t91))))))) % 4.85/5.08 (assume @p33 (forall @t36 (=> @t58 @t43))) % 4.85/5.08 (assume @p34 (forall @t36 (=> @t77 (forall @t28 (=> @t85 (=> @t90 @t88)))))) % 4.85/5.08 (assume @p35 (forall @t36 (=> @t30 (=> (and @t33 @t31 @t65) (and @t33 @t50 @t31 @t48))))) % 4.85/5.08 (assume @p36 (forall @t36 (=> @t34 (forall @t28 (=> @t56 (=> (not @t91) @t92)))))) % 4.85/5.08 (assume @p37 (forall @t36 (=> @t77 (forall @t28 (=> @t85 (=> (and @t81 @t88) (and @t88 @t90))))))) % 4.85/5.08 (assume @p38 (forall @t36 (=> @t30 (=> (and @t33 @t50 @t31 @t45) (and @t33 @t50 @t31 @t65))))) % 4.85/5.08 (assume @p39 (forall @t36 (=> @t34 (forall @t28 (=> @t56 (=> (and @t94 @t23) @t93)))))) % 4.85/5.08 (assume @p40 (forall @t36 (=> @t77 (forall @t28 (=> @t85 (=> (and @t82 @t90) (and @t83 @t82 @t81 @t71 @t74 @t75 @t76 @t87 @t88 @t90))))))) % 4.85/5.08 (assume @p41 (forall @t36 (=> @t30 (=> (and @t33 @t31 @t45 @t51) (and @t33 @t49 @t31 @t47 @t45 @t44 @t96 @t95 @t51))))) % 4.85/5.08 (assume @p42 (forall @t36 (=> @t34 (forall @t28 (=> @t56 (=> (and @t94 @t54) @t92)))))) % 4.85/5.08 (assume @p43 (forall @t36 (=> @t30 (=> (and @t33 @t50 @t31 @t51) (and @t33 @t50 @t31 @t46))))) % 4.85/5.08 (assume @p44 (forall @t36 (=> @t34 (forall @t28 (=> @t56 (=> @t55 (and @t53 (not @t94)))))))) % 4.85/5.08 (assume @p45 (forall @t36 (=> @t30 (=> (and @t33 @t31 @t44 @t51) (and @t33 @t31 @t47 @t44 @t96 @t95 @t51))))) % 4.85/5.08 (assume @p46 (forall @t36 (=> @t34 (forall @t28 (=> @t56 (=> (and @t52 @t23) @t93)))))) % 4.85/5.08 (assume @p47 (forall @t36 (=> @t30 (=> (and @t33 @t31 @t48 @t44) (and @t33 @t50 @t31 @t48 @t65))))) % 4.85/5.08 (assume @p48 (forall @t36 (=> @t34 (forall @t28 (=> @t56 (=> (and @t54 @t52) @t92)))))) % 4.85/5.08 (assume @p49 (forall @t40 (= @t98 @t97))) % 4.85/5.08 (assume @p50 (forall @t80 (=> @t100 (= @t99 (tptp.k5_subset_1 @t2 @t3 @t1))))) % 4.85/5.08 (assume @p51 @t113) % 4.85/5.08 (assume @p52 (forall @t40 (= @t114 (forall @t20 (=> (tptp.r2_hidden @t3 @t2) @t104))))) % 4.85/5.08 (assume @p53 @t128) % 4.85/5.08 (assume @p54 true) % 4.85/5.08 (assume @p55 (forall @t40 (=> @t132 (tptp.m1_subset_1 @t129 @t84)))) % 4.85/5.08 (assume @p56 (forall @t40 (=> @t134 (tptp.m1_subset_1 @t133 @t84)))) % 4.85/5.08 (assume @p57 @t138) % 4.85/5.08 (assume @p58 (forall @t80 (=> @t100 (tptp.m1_subset_1 @t99 @t72)))) % 4.85/5.08 (assume @p59 @t147) % 4.85/5.08 (assume @p60 @t148) % 4.85/5.08 (assume @p61 (forall @t36 (=> @t30 (forall @t28 (=> @t56 @t149))))) % 4.85/5.08 (assume @p62 (forall @t80 (=> @t150 @t79))) % 4.85/5.08 (assume @p63 @t153) % 4.85/5.08 (assume @p64 (exists @t36 @t30)) % 4.85/5.08 (assume @p65 (exists @t36 @t131)) % 4.85/5.08 (assume @p66 (forall @t36 (=> @t30 (exists @t28 @t56)))) % 4.85/5.08 (assume @p67 (forall @t40 (exists @t20 @t142))) % 4.85/5.08 (assume @p68 (forall @t36 (exists @t28 @t42))) % 4.85/5.08 (assume @p69 (forall @t40 (exists @t20 @t150))) % 4.85/5.08 (assume @p70 (forall @t36 (=> @t30 (exists @t28 @t22)))) % 4.85/5.08 (assume @p71 (forall @t36 (=> (tptp.v1_int_1 @t2) (and @t158 @t157 @t156 @t155)))) % 4.85/5.08 (assume @p72 (forall @t36 (=> (tptp.v4_ordinal2 @t2) (and @t158 @t157 @t156 @t155 (tptp.v5_membered @t154))))) % 4.85/5.08 (assume @p73 @t161) % 4.85/5.08 (assume @p74 (forall @t36 (not (tptp.v1_xboole_0 @t72)))) % 4.85/5.08 (assume @p75 (forall @t40 (=> @t43 @t162))) % 4.85/5.08 (assume @p76 (forall @t40 (=> @t43 @t163))) % 4.85/5.08 (assume @p77 (forall @t40 (=> @t58 (and @t162 @t164)))) % 4.85/5.08 (assume @p78 (forall @t36 (not (tptp.v1_xboole_0 @t154)))) % 4.85/5.08 (assume @p79 (forall @t40 (=> @t58 (and @t163 @t165)))) % 4.85/5.08 (assume @p80 (forall @t40 (=> @t62 (and @t162 @t164 @t166)))) % 4.85/5.08 (assume @p81 (forall @t40 (=> @t62 (and @t163 @t165 @t167)))) % 4.85/5.08 (assume @p82 (forall @t40 (=> @t68 (and @t162 @t164 @t166 @t168)))) % 4.85/5.08 (assume @p83 (forall @t40 (=> @t68 (and @t163 @t165 @t167 @t169)))) % 4.85/5.08 (assume @p84 (forall @t40 (=> @t69 (and @t162 @t164 @t166 @t168 (tptp.v5_membered @t98))))) % 4.85/5.08 (assume @p85 (forall @t40 (=> @t69 (and @t163 @t165 @t167 @t169 (tptp.v5_membered @t97))))) % 4.85/5.08 (assume @p86 (forall @t40 (=> (and @t144 @t170) (not (tptp.v1_xboole_0 @t78))))) % 4.85/5.08 (assume @p87 (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))) % 4.85/5.08 (assume @p88 (forall @t36 (=> (tptp.v1_xcmplx_0 @t2) @t158))) % 4.85/5.08 (assume @p89 (forall @t36 (=> (tptp.v1_xreal_0 @t2) (and @t158 @t157)))) % 4.85/5.08 (assume @p90 (forall @t36 (=> (tptp.v1_rat_1 @t2) (and @t158 @t157 @t156)))) % 4.85/5.08 (assume @p91 (forall @t40 (= (tptp.k3_xboole_0 @t2 @t2) @t2))) % 4.85/5.08 (assume @p92 (forall @t80 (=> @t100 (= (tptp.k5_subset_1 @t2 @t1 @t1) @t1)))) % 4.85/5.08 (assume @p93 (exists @t36 (and @t144 @t43 @t58 @t62 @t68 @t69))) % 4.85/5.08 (assume @p94 (forall @t36 (=> @t144 (exists @t28 (and @t73 @t170))))) % 4.85/5.08 (assume @p95 (forall @t36 (=> @t77 (exists @t28 (and @t85 @t82))))) % 4.85/5.08 (assume @p96 (forall @t36 (exists @t28 (and @t73 @t83)))) % 4.85/5.08 (assume @p97 (forall @t36 (=> @t77 (exists @t28 (and @t85 @t82 @t81))))) % 4.85/5.08 (assume @p98 (exists @t36 (and @t131 @t33))) % 4.85/5.08 (assume @p99 (forall @t36 (=> @t34 (exists @t28 (and @t85 @t170 @t82 @t81))))) % 4.85/5.08 (assume @p100 (forall @t36 (=> @t30 (exists @t28 (and @t85 @t83 @t71 @t74 @t75 @t76 @t87 @t88))))) % 4.85/5.08 (assume @p101 (forall @t36 (=> @t160 (exists @t28 (and @t85 @t170))))) % 4.85/5.08 (assume @p102 (forall @t36 (=> @t77 (exists @t28 (and @t85 @t83 @t82 @t81 @t71 @t74 @t75 @t76 @t87 @t88 @t90))))) % 4.85/5.08 (assume @p103 (forall @t36 (=> @t77 (exists @t28 (and @t85 @t81))))) % 4.85/5.08 (assume @p104 (forall @t36 (=> @t34 (exists @t28 (and @t85 @t170 @t81))))) % 4.85/5.08 (assume @p105 @t172) % 4.85/5.08 (assume @p106 @t174) % 4.85/5.08 (assume @p107 (forall @t80 (=> @t100 (= @t99 (tptp.k3_xboole_0 @t1 @t3))))) % 4.85/5.08 (assume @p108 (forall @t146 (=> @t145 (= @t139 (tptp.k1_funct_1 @t3 @t5))))) % 4.85/5.08 (assume @p109 @t175) % 4.85/5.08 (assume @p110 @t177) % 4.85/5.08 (assume @p111 (forall @t40 (tptp.r1_tarski @t2 @t2))) % 4.85/5.08 (assume @p112 @t186) % 4.85/5.08 (assume @p113 (forall @t40 (=> @t39 @t187))) % 4.85/5.08 (assume @p114 @t191) % 4.85/5.08 (assume @p115 @t210) % 4.85/5.08 (assume @p116 @t219) % 4.85/5.08 (assume @p117 (forall @t36 (= (tptp.k3_xboole_0 @t2 tptp.k1_xboole_0) tptp.k1_xboole_0))) % 4.85/5.08 (assume @p118 @t221) % 4.85/5.08 (assume @p119 (forall @t40 (= (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t1)) @t114))) % 4.85/5.08 (assume @p120 @t225) % 4.85/5.08 (assume @p121 (forall @t80 (not (and @t39 @t223 (tptp.v1_xboole_0 @t3))))) % 4.85/5.08 (assume @p122 (forall @t36 (=> @t70 (= @t2 tptp.k1_xboole_0)))) % 4.85/5.08 (assume @p123 (forall @t40 (not (and @t39 @t83)))) % 4.85/5.08 (assume @p124 (forall @t40 (not (and @t70 (not (= @t2 @t1)) @t83)))) % 4.85/5.08 (step @p125 :rule aci_norm :args ((= @t243 (or @t32 @t241 @t240 @t239 @t238 @t237 @t236 @t235 @t234 @t233 @t232 @t231 @t230)))) % 4.85/5.08 (step @p126 :rule cong :premises (@p125) :args (@t244)) % 4.85/5.08 (step @p127 :rule quant-merge-prenex :args ((= (forall @t36 @t246) @t244))) % 4.85/5.08 (step @p128 :rule alpha_equiv :args (@t247 (@list @t227 @t226) (@list @t1 @t248))) % 4.85/5.08 (step @p129 :rule refl :args (@t240)) % 4.85/5.08 (step @p130 :rule refl :args (@t241)) % 4.85/5.08 (step @p131 :rule refl :args (@t32)) % 4.85/5.08 (step @p132 :rule nary_cong :premises (@p131 @p130 @p129 @p128) :args (@t249)) % 4.85/5.08 (step @p133 :rule quant-miniscope-or :args ((= @t246 @t249))) % 4.85/5.08 (step @p134 :rule trans :premises (@p133 @p132)) % 4.85/5.08 (step @p135 :rule symm :premises (@p134)) % 4.85/5.08 (step @p136 :rule cong :premises (@p135) :args ((forall @t36 @t261))) % 4.85/5.08 (step @p137 :rule trans :premises (@p136 @p127)) % 4.85/5.08 (step @p138 :rule trans :premises (@p137 @p126)) % 4.85/5.08 (step @p139 :rule aci_norm :args ((= (or @t262 @t260) @t261))) % 4.85/5.08 (step @p140 :rule refl :args (@t260)) % 4.85/5.08 (step @p141 :rule bool-double-not-elim :args (@t32)) % 4.85/5.08 (step @p142 :rule nary_cong :premises (@p141 @p130 @p129) :args (@t264)) % 4.85/5.08 (step @p143 :rule aci_norm :args ((= (or @t263 (or @t241 @t240)) @t264))) % 4.85/5.08 (step @p144 :rule trans :premises (@p143 @p142)) % 4.85/5.08 (step @p145 :rule bool-and-de-morgan :args (@t31 @t30 true)) % 4.85/5.08 (step @p146 :rule refl :args (@t263)) % 4.85/5.08 (step @p147 :rule nary_cong :premises (@p146 @p145) :args ((or @t263 (not @t77)))) % 4.85/5.08 (step @p148 :rule bool-and-de-morgan :args (@t33 @t31 (and @t30))) % 4.85/5.08 (step @p149 :rule trans :premises (@p148 @p147)) % 4.85/5.08 (step @p150 :rule trans :premises (@p149 @p144)) % 4.85/5.08 (step @p151 :rule nary_cong :premises (@p150 @p140) :args ((or @t265 @t260))) % 4.85/5.08 (step @p152 :rule trans :premises (@p151 @p139)) % 4.85/5.08 (step @p153 :rule bool-impl-elim :args (@t34 @t260)) % 4.85/5.08 (step @p154 :rule trans :premises (@p153 @p152)) % 4.85/5.08 (step @p155 :rule cong :premises (@p154) :args ((forall @t36 (=> @t34 @t260)))) % 4.85/5.08 (step @p156 :rule trans :premises (@p155 @p138)) % 4.85/5.08 (step @p157 :rule eq-symm :args (@t250 @t251)) % 4.85/5.08 (step @p158 :rule refl :args (@t229)) % 4.85/5.08 (step @p159 :rule nary_cong :premises (@p158 @p157) :args (@t266)) % 4.85/5.08 (step @p160 :rule cong :premises (@p159) :args (@t267)) % 4.85/5.08 (step @p161 :rule cong :premises (@p160) :args (@t268)) % 4.85/5.08 (step @p162 :rule refl :args (@t252)) % 4.85/5.08 (step @p163 :rule refl :args (@t253)) % 4.85/5.08 (step @p164 :rule refl :args (@t254)) % 4.85/5.08 (step @p165 :rule refl :args (@t255)) % 4.85/5.08 (step @p166 :rule refl :args (@t256)) % 4.85/5.08 (step @p167 :rule refl :args (@t257)) % 4.85/5.08 (step @p168 :rule refl :args (@t258)) % 4.85/5.08 (step @p169 :rule refl :args (@t89)) % 4.85/5.08 (step @p170 :rule refl :args (@t24)) % 4.85/5.08 (step @p171 :rule nary_cong :premises (@p170 @p169 @p168 @p167 @p166 @p165 @p164 @p163 @p162 @p161) :args (@t269)) % 4.85/5.08 (step @p172 :rule aci_norm :args ((= @t271 @t269))) % 4.85/5.08 (step @p173 :rule trans :premises (@p172 @p171)) % 4.85/5.08 (step @p174 :rule cong :premises (@p173) :args (@t272)) % 4.85/5.08 (step @p175 :rule quant-merge-prenex :args ((= (forall @t28 @t274) @t272))) % 4.85/5.08 (step @p176 :rule alpha_equiv :args (@t275 (@list @t248) @t276)) % 4.85/5.08 (step @p177 :rule refl :args (@t257)) % 4.85/5.08 (step @p178 :rule refl :args (@t258)) % 4.85/5.08 (step @p179 :rule refl :args (@t89)) % 4.85/5.08 (step @p180 :rule refl :args (@t24)) % 4.85/5.08 (step @p181 :rule nary_cong :premises (@p180 @p179 @p178 @p177 @p176) :args (@t277)) % 4.85/5.08 (step @p182 :rule quant-miniscope-or :args ((= @t274 @t277))) % 4.85/5.08 (step @p183 :rule trans :premises (@p182 @p181)) % 4.85/5.08 (step @p184 :rule symm :premises (@p183)) % 4.85/5.08 (step @p185 :rule cong :premises (@p184) :args ((forall @t28 @t285))) % 4.85/5.08 (step @p186 :rule trans :premises (@p185 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% 4.85/5.08 (step @p862 :rule cong :premises (@p861) :args (@t128)) % 4.85/5.08 (step @p863 :rule trans :premises (@p862 @p838)) % 4.85/5.08 (step @p864 :rule eq_resolve :premises (@p53 @p863)) % 4.85/5.08 (step @p865 :rule instantiate :premises (@p864) :args (@t575)) % 4.85/5.08 (step @p866 :rule cnf_or_pos :args (@t607)) % 4.85/5.08 (step @p867 :rule reordering :premises (@p866) :args ((or @t405 @t423 @t606 (not @t607)))) % 4.85/5.08 (step @p868 :rule chain_m_resolution :premises (@p867 @p399 @p414 @p865) :args (@t606 @t420 (@list @t386 @t417 @t607))) % 4.85/5.08 (step @p869 :rule aci_norm :args ((= @t614 (or @t32 @t240 @t612 @t611 @t610)))) % 4.85/5.08 (step @p870 :rule cong :premises (@p869) :args (@t615)) % 4.85/5.08 (step @p871 :rule quant-merge-prenex :args ((= (forall @t36 @t617) @t615))) % 4.85/5.08 (step @p872 :rule alpha_equiv :args (@t618 (@list @t608) @t344)) % 4.85/5.08 (step @p873 :rule nary_cong :premises (@p131 @p129 @p872) :args (@t619)) % 4.85/5.08 (step @p874 :rule quant-miniscope-or :args ((= @t617 @t619))) % 4.85/5.08 (step @p875 :rule trans :premises (@p874 @p873)) % 4.85/5.08 (step @p876 :rule symm :premises (@p875)) % 4.85/5.08 (step @p877 :rule cong :premises (@p876) :args ((forall @t36 @t623))) % 4.85/5.08 (step @p878 :rule trans :premises (@p877 @p871)) % 4.85/5.08 (step @p879 :rule trans :premises (@p878 @p870)) % 4.85/5.08 (step @p880 :rule aci_norm :args ((= (or @t515 @t622) @t623))) % 4.85/5.08 (step @p881 :rule refl :args (@t622)) % 4.85/5.08 (step @p882 :rule nary_cong :premises (@p646 @p881) :args ((or @t516 @t622))) % 4.85/5.08 (step @p883 :rule trans :premises (@p882 @p880)) % 4.85/5.08 (step @p884 :rule bool-impl-elim :args (@t86 @t622)) % 4.85/5.08 (step @p885 :rule trans :premises (@p884 @p883)) % 4.85/5.08 (step @p886 :rule cong :premises (@p885) :args ((forall @t36 (=> @t86 @t622)))) % 4.85/5.08 (step @p887 :rule trans :premises (@p886 @p879)) % 4.85/5.08 (step @p888 :rule aci_norm :args ((= (or @t258 @t624) @t621))) % 4.85/5.08 (step @p889 :rule bool-impl-elim :args (@t22 @t624)) % 4.85/5.08 (step @p890 :rule trans :premises (@p889 @p888)) % 4.85/5.08 (step @p891 :rule cong :premises (@p890) :args ((forall @t28 (=> @t22 @t624)))) % 4.85/5.08 (step @p892 :rule aci_norm :args ((= (or @t257 false @t620) @t624))) % 4.85/5.08 (step @p893 :rule refl :args (@t620)) % 4.85/5.08 (step @p894 :rule nary_cong :premises (@p167 @p238 @p893) :args (@t625)) % 4.85/5.08 (step @p895 :rule trans :premises (@p894 @p892)) % 4.85/5.08 (step @p896 :rule quant-var-elim-eq :args ((= (forall @t20 @t628) @t625))) % 4.85/5.08 (step @p897 :rule aci_norm :args ((= @t629 @t628))) % 4.85/5.08 (step @p898 :rule cong :premises (@p897) :args ((forall @t20 @t629))) % 4.85/5.08 (step @p899 :rule trans :premises (@p898 @p896)) % 4.85/5.08 (step @p900 :rule trans :premises (@p899 @p895)) % 4.85/5.08 (step @p901 :rule aci_norm :args ((= (or @t583 (or @t627 @t626)) @t629))) % 4.85/5.08 (step @p902 :rule bool-impl-elim :args (@t179 @t626)) % 4.85/5.08 (step @p903 :rule nary_cong :premises (@p849 @p902) :args ((or @t583 @t630))) % 4.85/5.08 (step @p904 :rule trans :premises (@p903 @p901)) % 4.85/5.08 (step @p905 :rule bool-impl-elim :args (@t120 @t630)) % 4.85/5.08 (step @p906 :rule trans :premises (@p905 @p904)) % 4.85/5.08 (step @p907 :rule cong :premises (@p906) :args ((forall @t20 (=> @t120 @t630)))) % 4.85/5.08 (step @p908 :rule trans :premises (@p907 @p900)) % 4.85/5.08 (step @p909 :rule eq-symm :args (@t178 @t23)) % 4.85/5.08 (step @p910 :rule refl :args (@t179)) % 4.85/5.08 (step @p911 :rule cong :premises (@p910 @p909) :args (@t180)) % 4.85/5.08 (step @p912 :rule refl :args (@t120)) % 4.85/5.08 (step @p913 :rule cong :premises (@p912 @p911) :args (@t181)) % 4.85/5.08 (step @p914 :rule cong :premises (@p913) :args (@t182)) % 4.85/5.08 (step @p915 :rule trans :premises (@p914 @p908)) % 4.85/5.08 (step @p916 :rule refl :args (@t22)) % 4.85/5.08 (step @p917 :rule cong :premises (@p916 @p915) :args (@t183)) % 4.85/5.08 (step @p918 :rule cong :premises (@p917) :args (@t184)) % 4.85/5.08 (step @p919 :rule trans :premises (@p918 @p891)) % 4.85/5.08 (step @p920 :rule cong :premises (@p680 @p919) :args (@t185)) % 4.85/5.08 (step @p921 :rule cong :premises (@p920) :args (@t186)) % 4.85/5.08 (step @p922 :rule trans :premises (@p921 @p887)) % 4.85/5.08 (step @p923 :rule eq_resolve :premises (@p112 @p922)) % 4.85/5.08 (step @p924 :rule instantiate :premises (@p923) :args (@t347)) % 4.85/5.08 (step @p925 :rule cnf_or_pos :args (@t632)) % 4.85/5.08 (step @p926 :rule reordering :premises (@p925) :args ((or @t408 @t405 @t401 @t423 @t631 (not @t632)))) % 4.85/5.08 (step @p927 :rule chain_m_resolution :premises (@p926 @p456 @p399 @p408 @p414 @p924) :args (@t631 @t448 (@list @t408 @t386 @t400 @t417 @t632))) % 4.85/5.08 (step @p928 :rule cnf_equiv_pos1 :args (@t631)) % 4.85/5.08 (step @p929 :rule reordering :premises (@p928) :args ((or @t403 @t605 (not @t631)))) % 4.85/5.08 (step @p930 :rule chain_m_resolution :premises (@p929 @p446 @p927) :args (@t605 @t415 (@list @t402 @t631))) % 4.85/5.08 (step @p931 :rule cnf_equiv_pos1 :args (@t606)) % 4.85/5.08 (step @p932 :rule reordering :premises (@p931) :args ((or (not @t605) @t604 (not @t606)))) % 4.85/5.08 (step @p933 :rule chain_m_resolution :premises (@p932 @p930 @p868) :args (@t604 @t415 (@list @t605 @t606))) % 4.85/5.08 (step @p934 :rule cnf_and_pos :args (@t604 0)) % 4.85/5.08 (step @p935 :rule reordering :premises (@p934) :args ((or @t577 (not @t604)))) % 4.85/5.08 (step @p936 :rule chain_m_resolution :premises (@p935 @p933) :args (@t577 @t447 (@list @t604))) % 4.85/5.10 (step @p937 :rule cnf_equiv_pos1 :args (@t578)) % 4.85/5.10 (step @p938 :rule reordering :premises (@p937) :args ((or @t576 (not @t577) (not @t578)))) % 4.85/5.10 (step @p939 :rule chain_m_resolution :premises (@p938 @p936 @p811) :args (@t576 @t415 (@list @t577 @t578))) % 4.85/5.10 (step @p940 :rule instantiate :premises (@p939) :args ((@list @t426))) % 4.85/5.10 (step @p941 :rule aci_norm :args ((= (or @t633 @t220) (or @t633 @t83 @t39)))) % 4.85/5.10 (step @p942 :rule bool-impl-elim :args (@t187 @t220)) % 4.85/5.10 (step @p943 :rule trans :premises (@p942 @p941)) % 4.85/5.10 (step @p944 :rule cong :premises (@p943) :args (@t221)) % 4.85/5.10 (step @p945 :rule eq_resolve :premises (@p118 @p944)) % 4.85/5.10 (step @p946 :rule instantiate :premises (@p945) :args ((@list @t426 @t388))) % 4.85/5.10 (step @p947 :rule instantiate :premises (@p585) :args (@t472)) % 4.85/5.10 (step @p948 :rule cnf_or_pos :args (@t636)) % 4.85/5.10 (step @p949 :rule reordering :premises (@p948) :args ((or @t404 @t492 @t635 (not @t636)))) % 4.85/5.10 (step @p950 :rule chain_m_resolution :premises (@p949 @p448 @p627 @p947) :args (@t635 @t468 (@list @t404 @t486 @t636))) % 4.85/5.10 (step @p951 :rule cnf_or_pos :args (@t638)) % 4.85/5.10 (step @p952 :rule reordering :premises (@p951) :args ((or @t634 @t491 @t637 (not @t638)))) % 4.85/5.10 (step @p953 :rule chain_m_resolution :premises (@p952 @p950 @p599 @p946) :args (@t637 @t468 (@list @t634 @t469 @t638))) % 4.85/5.10 (step @p954 :rule cnf_or_pos :args (@t641)) % 4.85/5.10 (step @p955 :rule reordering :premises (@p954) :args ((or @t542 @t640 @t639 (not @t641)))) % 4.85/5.10 (step @p956 :rule chain_m_resolution :premises (@p955 @p723 @p953 @p940) :args (@t639 @t420 (@list @t534 @t637 @t641))) % 4.85/5.10 (assume-push @p989 @t445) % 4.85/5.10 (assume-push @p990 @t490) % 4.85/5.10 (assume-push @p991 @t539) % 4.85/5.10 (assume-push @p992 @t548) % 4.85/5.10 (assume-push @p993 @t551) % 4.85/5.10 (assume-push @p994 @t639) % 4.85/5.10 (step @p963 :rule symm :premises (@p630)) % 4.85/5.10 (step @p964 :rule symm :premises (@p751)) % 4.85/5.10 (step @p965 :rule symm :premises (@p956)) % 4.85/5.10 (step @p966 :rule trans :premises (@p512 @p735 @p755)) % 4.85/5.10 (step @p967 :rule refl :args (@t388)) % 4.85/5.10 (step @p968 :rule refl :args (@t389)) % 4.85/5.10 (step @p969 :rule cong :premises (@p968 @p967 @p966) :args (@t429)) % 4.85/5.10 (step @p970 :rule trans :premises (@p969 @p965 @p964 @p963)) % 4.85/5.10 (step-pop @p995 :rule scope :premises (@p970)) % 4.85/5.10 (step-pop @p996 :rule scope :premises (@p995)) % 4.85/5.10 (step-pop @p997 :rule scope :premises (@p996)) % 4.85/5.10 (step-pop @p998 :rule scope :premises (@p997)) % 4.85/5.10 (step-pop @p999 :rule scope :premises (@p998)) % 4.85/5.10 (step-pop @p1000 :rule scope :premises (@p999)) % 4.85/5.10 (step @p971 :rule process_scope :premises (@p1000) :args (@t430)) % 4.85/5.10 (step @p978 :rule implies_elim :premises (@p971)) % 4.85/5.10 (step @p979 :rule cnf_and_neg :args (@t642)) % 4.85/5.10 (step @p980 :rule resolution :premises (@p979 @p978) :args (true @t642)) % 4.85/5.10 (step @p981 :rule reordering :premises (@p980) :args ((or @t430 (not @t445) (not @t490) (not @t539) (not @t548) (not @t551) (not @t639)))) % 4.85/5.10 (step @p982 false :rule chain_m_resolution :premises (@p981 @p956 @p755 @p751 @p735 @p630 @p512 @p462) :args (false (@list false false false false false false true) (@list @t639 @t551 @t548 @t539 @t490 @t445 @t430))) % 4.85/5.10 ) % 4.85/5.10 % SZS output end Proof % 4.85/5.10 % cvc5 exiting %------------------------------------------------------------------------------