%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : TOP032+1 : TPTP v9.2.1. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n025.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 4.71s 5.00s % Output : Proof 4.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : TOP032+1 : TPTP v9.2.1. Released v3.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n025.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Wed Jun 3 01:21:16 EDT 2026 % 0.18/0.35 % CPUTime : % 0.27/0.54 %----Proving TF0_NAR, FOF, or CNF % 4.71/5.00 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 4.71/5.00 % SZS status Theorem % 4.71/5.00 % SZS output start Proof % 4.71/5.00 ( % 4.71/5.00 (declare-sort $$unsorted 0) % 4.71/5.00 (declare-const tptp.k2_tex_4 (-> $$unsorted $$unsorted $$unsorted)) % 4.71/5.00 (declare-const tptp.v1_tsp_2 (-> $$unsorted $$unsorted Bool)) % 4.71/5.00 (declare-const tptp.k1_xboole_0 $$unsorted) % 4.71/5.00 (declare-const tptp.v5_tdlat_3 (-> $$unsorted Bool)) % 4.71/5.00 (declare-const tptp.v3_tops_1 (-> $$unsorted $$unsorted Bool)) % 4.71/5.00 (declare-const tptp.v4_pre_topc (-> $$unsorted $$unsorted Bool)) % 4.71/5.00 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 4.71/5.00 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 4.71/5.00 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 4.71/5.00 (declare-const tptp.v1_tsep_1 (-> $$unsorted $$unsorted Bool)) % 4.71/5.00 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 4.71/5.00 (declare-const tptp.k5_subset_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.71/5.00 (declare-const tptp.v3_pre_topc (-> $$unsorted $$unsorted Bool)) % 4.71/5.00 (declare-const tptp.l1_pre_topc (-> $$unsorted Bool)) % 4.71/5.00 (declare-const tptp.v1_borsuk_1 (-> $$unsorted $$unsorted Bool)) % 4.71/5.00 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 4.71/5.00 (declare-const tptp.m1_pre_topc (-> $$unsorted $$unsorted Bool)) % 4.71/5.00 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 4.71/5.00 (declare-const tptp.v3_realset2 (-> $$unsorted Bool)) % 4.71/5.00 (declare-const tptp.v2_tsp_2 (-> $$unsorted $$unsorted Bool)) % 4.71/5.00 (declare-const tptp.k1_funct_1 (-> $$unsorted $$unsorted $$unsorted)) % 4.71/5.00 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 4.71/5.00 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 4.71/5.00 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 4.71/5.00 (declare-const tptp.k8_funct_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.71/5.00 (declare-const tptp.v3_tdlat_3 (-> $$unsorted Bool)) % 4.71/5.00 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 4.71/5.00 (declare-const tptp.k4_tex_4 (-> $$unsorted $$unsorted $$unsorted)) % 4.71/5.00 (declare-const tptp.v4_tdlat_3 (-> $$unsorted Bool)) % 4.71/5.00 (declare-const tptp.v4_ordinal2 (-> $$unsorted Bool)) % 4.71/5.00 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 4.71/5.00 (declare-const tptp.v2_tops_1 (-> $$unsorted $$unsorted Bool)) % 4.71/5.00 (declare-const tptp.v1_tdlat_3 (-> $$unsorted Bool)) % 4.71/5.00 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 4.71/5.00 (declare-const tptp.m2_tsp_1 (-> $$unsorted $$unsorted Bool)) % 4.71/5.00 (declare-const tptp.v5_pre_topc (-> $$unsorted $$unsorted $$unsorted Bool)) % 4.71/5.00 (declare-const tptp.k1_struct_0 (-> $$unsorted $$unsorted $$unsorted)) % 4.71/5.00 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 4.71/5.00 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 4.71/5.00 (declare-const tptp.v2_t_0topsp (-> $$unsorted Bool)) % 4.71/5.00 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 4.71/5.00 (declare-const tptp.v2_pre_topc (-> $$unsorted Bool)) % 4.71/5.00 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 4.71/5.00 (declare-const tptp.k1_tarski (-> $$unsorted $$unsorted)) % 4.71/5.00 (declare-const tptp.k3_xboole_0 (-> $$unsorted $$unsorted $$unsorted)) % 4.71/5.00 (declare-const tptp.v2_tex_2 (-> $$unsorted $$unsorted Bool)) % 4.71/5.00 (declare-const tptp.v2_tdlat_3 (-> $$unsorted Bool)) % 4.71/5.00 (declare-const tptp.v1_tsp_1 (-> $$unsorted $$unsorted Bool)) % 4.71/5.00 (declare-const tptp.v1_tex_3 (-> $$unsorted $$unsorted Bool)) % 4.71/5.00 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 4.71/5.00 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 4.71/5.00 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 4.71/5.00 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 4.71/5.00 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 4.71/5.00 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 4.71/5.00 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 4.71/5.00 (define @t1 () (@var "B" $$unsorted)) % 4.71/5.00 (define @t2 () (tptp.u1_struct_0 @t1)) % 4.71/5.00 (define @t3 () (@var "A" $$unsorted)) % 4.71/5.00 (define @t4 () (tptp.u1_struct_0 @t3)) % 4.71/5.00 (define @t5 () (@var "C" $$unsorted)) % 4.71/5.00 (define @t6 () (tptp.m2_relset_1 @t5 @t4 @t2)) % 4.71/5.00 (define @t7 () (tptp.v1_funct_2 @t5 @t4 @t2)) % 4.71/5.00 (define @t8 () (tptp.v1_funct_1 @t5)) % 4.71/5.00 (define @t9 () (and @t8 @t7 (tptp.v5_pre_topc @t5 @t3 @t1) @t6)) % 4.71/5.00 (define @t10 () (@var "D" $$unsorted)) % 4.71/5.00 (define @t11 () (tptp.k4_tex_4 @t3 @t10)) % 4.71/5.00 (define @t12 () (tptp.r2_hidden (tptp.k8_funct_2 @t4 @t2 @t5 @t10) @t11)) % 4.71/5.00 (define @t13 () (tptp.m1_subset_1 @t10 @t4)) % 4.71/5.00 (define @t14 () (@list @t10)) % 4.71/5.00 (define @t15 () (forall @t14 (=> @t13 @t12))) % 4.71/5.00 (define @t16 () (=> @t15 @t9)) % 4.71/5.00 (define @t17 () (and @t8 @t7 @t6)) % 4.71/5.00 (define @t18 () (=> @t17 @t16)) % 4.71/5.00 (define @t19 () (@list @t5)) % 4.71/5.00 (define @t20 () (forall @t19 @t18)) % 4.71/5.00 (define @t21 () (tptp.m2_tsp_1 @t1 @t3)) % 4.71/5.00 (define @t22 () (tptp.v2_tsp_2 @t1 @t3)) % 4.71/5.00 (define @t23 () (tptp.v3_struct_0 @t1)) % 4.71/5.00 (define @t24 () (not @t23)) % 4.71/5.00 (define @t25 () (and @t24 @t22 @t21)) % 4.71/5.00 (define @t26 () (=> @t25 @t20)) % 4.71/5.00 (define @t27 () (@list @t1)) % 4.71/5.00 (define @t28 () (forall @t27 @t26)) % 4.71/5.00 (define @t29 () (tptp.l1_pre_topc @t3)) % 4.71/5.00 (define @t30 () (tptp.v2_pre_topc @t3)) % 4.71/5.00 (define @t31 () (tptp.v3_struct_0 @t3)) % 4.71/5.00 (define @t32 () (not @t31)) % 4.71/5.00 (define @t33 () (and @t32 @t30 @t29)) % 4.71/5.00 (define @t34 () (=> @t33 @t28)) % 4.71/5.00 (define @t35 () (@list @t3)) % 4.71/5.00 (define @t36 () (forall @t35 @t34)) % 4.71/5.00 (define @t37 () (not @t36)) % 4.71/5.00 (define @t38 () (tptp.r2_hidden @t3 @t1)) % 4.71/5.00 (define @t39 () (@list @t3 @t1)) % 4.71/5.00 (define @t40 () (tptp.v1_xcmplx_0 @t1)) % 4.71/5.00 (define @t41 () (tptp.m1_subset_1 @t1 @t3)) % 4.71/5.00 (define @t42 () (tptp.v1_membered @t3)) % 4.71/5.00 (define @t43 () (tptp.v3_tdlat_3 @t3)) % 4.71/5.00 (define @t44 () (tptp.v2_tdlat_3 @t3)) % 4.71/5.00 (define @t45 () (not @t44)) % 4.71/5.00 (define @t46 () (tptp.v1_tdlat_3 @t3)) % 4.71/5.00 (define @t47 () (not @t46)) % 4.71/5.00 (define @t48 () (tptp.v3_realset2 @t3)) % 4.71/5.00 (define @t49 () (not @t48)) % 4.71/5.00 (define @t50 () (tptp.v2_t_0topsp @t3)) % 4.71/5.00 (define @t51 () (tptp.v1_borsuk_1 @t1 @t3)) % 4.71/5.00 (define @t52 () (tptp.v2_pre_topc @t1)) % 4.71/5.00 (define @t53 () (tptp.v2_tex_2 @t1 @t3)) % 4.71/5.00 (define @t54 () (and @t53 @t22)) % 4.71/5.00 (define @t55 () (tptp.m1_pre_topc @t1 @t3)) % 4.71/5.00 (define @t56 () (tptp.v1_xreal_0 @t1)) % 4.71/5.00 (define @t57 () (tptp.v2_membered @t3)) % 4.71/5.00 (define @t58 () (tptp.v2_t_0topsp @t1)) % 4.71/5.00 (define @t59 () (and @t24 @t58)) % 4.71/5.00 (define @t60 () (tptp.v1_rat_1 @t1)) % 4.71/5.00 (define @t61 () (tptp.v3_membered @t3)) % 4.71/5.00 (define @t62 () (not @t58)) % 4.71/5.00 (define @t63 () (not @t53)) % 4.71/5.00 (define @t64 () (not @t50)) % 4.71/5.00 (define @t65 () (and @t32 @t30 @t64 @t29)) % 4.71/5.00 (define @t66 () (tptp.v1_int_1 @t1)) % 4.71/5.00 (define @t67 () (tptp.v4_membered @t3)) % 4.71/5.00 (define @t68 () (tptp.v5_membered @t3)) % 4.71/5.00 (define @t69 () (tptp.v1_xboole_0 @t3)) % 4.71/5.00 (define @t70 () (tptp.v1_membered @t1)) % 4.71/5.00 (define @t71 () (tptp.k1_zfmisc_1 @t3)) % 4.71/5.00 (define @t72 () (tptp.m1_subset_1 @t1 @t71)) % 4.71/5.00 (define @t73 () (tptp.v2_membered @t1)) % 4.71/5.00 (define @t74 () (tptp.v3_membered @t1)) % 4.71/5.00 (define @t75 () (tptp.v4_membered @t1)) % 4.71/5.00 (define @t76 () (and @t30 @t29)) % 4.71/5.00 (define @t77 () (tptp.k2_zfmisc_1 @t3 @t1)) % 4.71/5.00 (define @t78 () (tptp.m1_subset_1 @t5 (tptp.k1_zfmisc_1 @t77))) % 4.71/5.00 (define @t79 () (@list @t3 @t1 @t5)) % 4.71/5.00 (define @t80 () (tptp.v4_pre_topc @t1 @t3)) % 4.71/5.00 (define @t81 () (tptp.v3_pre_topc @t1 @t3)) % 4.71/5.00 (define @t82 () (tptp.v1_xboole_0 @t1)) % 4.71/5.00 (define @t83 () (tptp.k1_zfmisc_1 @t4)) % 4.71/5.00 (define @t84 () (tptp.m1_subset_1 @t1 @t83)) % 4.71/5.00 (define @t85 () (and @t32 @t29)) % 4.71/5.00 (define @t86 () (tptp.v5_membered @t1)) % 4.71/5.00 (define @t87 () (tptp.v2_tops_1 @t1 @t3)) % 4.71/5.00 (define @t88 () (not @t22)) % 4.71/5.00 (define @t89 () (tptp.v3_tops_1 @t1 @t3)) % 4.71/5.00 (define @t90 () (tptp.v1_tex_3 @t1 @t3)) % 4.71/5.00 (define @t91 () (and @t52 @t88)) % 4.71/5.00 (define @t92 () (and @t52 @t63)) % 4.71/5.00 (define @t93 () (tptp.v1_tsep_1 @t1 @t3)) % 4.71/5.00 (define @t94 () (tptp.v5_tdlat_3 @t3)) % 4.71/5.00 (define @t95 () (tptp.v4_tdlat_3 @t3)) % 4.71/5.00 (define @t96 () (tptp.k3_xboole_0 @t1 @t3)) % 4.71/5.00 (define @t97 () (tptp.k3_xboole_0 @t3 @t1)) % 4.71/5.00 (define @t98 () (tptp.k5_subset_1 @t3 @t1 @t5)) % 4.71/5.00 (define @t99 () (and @t72 (tptp.m1_subset_1 @t5 @t71))) % 4.71/5.00 (define @t100 () (tptp.k1_struct_0 @t3 @t5)) % 4.71/5.00 (define @t101 () (tptp.k4_tex_4 @t3 @t5)) % 4.71/5.00 (define @t102 () (= (tptp.k5_subset_1 @t4 @t1 @t101) @t100)) % 4.71/5.00 (define @t103 () (tptp.r2_hidden @t5 @t1)) % 4.71/5.00 (define @t104 () (=> @t103 @t102)) % 4.71/5.00 (define @t105 () (tptp.m1_subset_1 @t5 @t4)) % 4.71/5.00 (define @t106 () (forall @t19 (=> @t105 @t104))) % 4.71/5.00 (define @t107 () (tptp.v1_tsp_1 @t1 @t3)) % 4.71/5.00 (define @t108 () (= @t107 @t106)) % 4.71/5.00 (define @t109 () (=> @t84 @t108)) % 4.71/5.00 (define @t110 () (forall @t27 @t109)) % 4.71/5.00 (define @t111 () (=> @t33 @t110)) % 4.71/5.00 (define @t112 () (forall @t35 @t111)) % 4.71/5.00 (define @t113 () (tptp.r1_tarski @t3 @t1)) % 4.71/5.00 (define @t114 () (= @t1 @t5)) % 4.71/5.00 (define @t115 () (tptp.r1_tarski @t1 @t5)) % 4.71/5.00 (define @t116 () (tptp.v1_tsp_1 @t5 @t3)) % 4.71/5.00 (define @t117 () (and @t116 @t115)) % 4.71/5.00 (define @t118 () (=> @t117 @t114)) % 4.71/5.00 (define @t119 () (tptp.m1_subset_1 @t5 @t83)) % 4.71/5.00 (define @t120 () (forall @t19 (=> @t119 @t118))) % 4.71/5.00 (define @t121 () (and @t107 @t120)) % 4.71/5.00 (define @t122 () (tptp.v1_tsp_2 @t1 @t3)) % 4.71/5.00 (define @t123 () (= @t122 @t121)) % 4.71/5.00 (define @t124 () (=> @t84 @t123)) % 4.71/5.00 (define @t125 () (forall @t27 @t124)) % 4.71/5.00 (define @t126 () (=> @t29 @t125)) % 4.71/5.00 (define @t127 () (forall @t35 @t126)) % 4.71/5.00 (define @t128 () (tptp.k1_struct_0 @t3 @t1)) % 4.71/5.00 (define @t129 () (tptp.m1_subset_1 @t1 @t4)) % 4.71/5.00 (define @t130 () (tptp.l1_struct_0 @t3)) % 4.71/5.00 (define @t131 () (and @t32 @t130 @t129)) % 4.71/5.00 (define @t132 () (tptp.k2_tex_4 @t3 @t1)) % 4.71/5.00 (define @t133 () (and @t29 @t129)) % 4.71/5.00 (define @t134 () (tptp.k4_tex_4 @t3 @t1)) % 4.71/5.00 (define @t135 () (and (not (tptp.v1_xboole_0 @t134)) (tptp.m1_subset_1 @t134 @t83))) % 4.71/5.00 (define @t136 () (and @t32 @t30 @t29 @t129)) % 4.71/5.00 (define @t137 () (forall @t39 (=> @t136 @t135))) % 4.71/5.00 (define @t138 () (tptp.k8_funct_2 @t3 @t1 @t5 @t10)) % 4.71/5.00 (define @t139 () (tptp.m1_subset_1 @t138 @t1)) % 4.71/5.00 (define @t140 () (tptp.m1_subset_1 @t10 @t3)) % 4.71/5.00 (define @t141 () (tptp.m1_relset_1 @t5 @t3 @t1)) % 4.71/5.00 (define @t142 () (tptp.v1_funct_2 @t5 @t3 @t1)) % 4.71/5.00 (define @t143 () (not @t69)) % 4.71/5.00 (define @t144 () (and @t143 @t8 @t142 @t141 @t140)) % 4.71/5.00 (define @t145 () (@list @t3 @t1 @t5 @t10)) % 4.71/5.00 (define @t146 () (forall @t145 (=> @t144 @t139))) % 4.71/5.00 (define @t147 () (forall @t35 (=> @t29 @t130))) % 4.71/5.00 (define @t148 () (tptp.l1_pre_topc @t1)) % 4.71/5.00 (define @t149 () (tptp.m2_relset_1 @t5 @t3 @t1)) % 4.71/5.00 (define @t150 () (forall @t27 (=> @t21 @t148))) % 4.71/5.00 (define @t151 () (=> @t29 @t150)) % 4.71/5.00 (define @t152 () (forall @t35 @t151)) % 4.71/5.00 (define @t153 () (tptp.k1_tarski @t3)) % 4.71/5.00 (define @t154 () (tptp.v4_membered @t153)) % 4.71/5.00 (define @t155 () (tptp.v3_membered @t153)) % 4.71/5.00 (define @t156 () (tptp.v2_membered @t153)) % 4.71/5.00 (define @t157 () (tptp.v1_membered @t153)) % 4.71/5.00 (define @t158 () (not (tptp.v1_xboole_0 @t4))) % 4.71/5.00 (define @t159 () (and @t32 @t130)) % 4.71/5.00 (define @t160 () (forall @t35 (=> @t159 @t158))) % 4.71/5.00 (define @t161 () (tptp.v1_membered @t97)) % 4.71/5.00 (define @t162 () (tptp.v1_membered @t96)) % 4.71/5.00 (define @t163 () (tptp.v2_membered @t97)) % 4.71/5.00 (define @t164 () (tptp.v2_membered @t96)) % 4.71/5.00 (define @t165 () (tptp.v3_membered @t97)) % 4.71/5.00 (define @t166 () (tptp.v3_membered @t96)) % 4.71/5.00 (define @t167 () (tptp.v4_membered @t97)) % 4.71/5.00 (define @t168 () (tptp.v4_membered @t96)) % 4.71/5.00 (define @t169 () (not @t82)) % 4.71/5.00 (define @t170 () (= @t128 (tptp.k1_tarski @t1))) % 4.71/5.00 (define @t171 () (forall @t39 (=> @t131 @t170))) % 4.71/5.00 (define @t172 () (=> @t136 (= @t134 @t132))) % 4.71/5.00 (define @t173 () (forall @t39 @t172)) % 4.71/5.00 (define @t174 () (forall @t79 (= @t149 @t141))) % 4.71/5.00 (define @t175 () (forall @t27 (= @t21 @t55))) % 4.71/5.00 (define @t176 () (forall @t35 (=> @t29 @t175))) % 4.71/5.00 (define @t177 () (tptp.v1_tsp_2 @t5 @t3)) % 4.71/5.00 (define @t178 () (= @t5 @t2)) % 4.71/5.00 (define @t179 () (=> @t178 (= @t177 @t22))) % 4.71/5.00 (define @t180 () (=> @t119 @t179)) % 4.71/5.00 (define @t181 () (forall @t19 @t180)) % 4.71/5.00 (define @t182 () (=> @t21 @t181)) % 4.71/5.00 (define @t183 () (forall @t27 @t182)) % 4.71/5.00 (define @t184 () (=> @t85 @t183)) % 4.71/5.00 (define @t185 () (forall @t35 @t184)) % 4.71/5.00 (define @t186 () (@var "E" $$unsorted)) % 4.71/5.00 (define @t187 () (tptp.k1_struct_0 @t1 (tptp.k8_funct_2 @t4 @t2 @t5 @t186))) % 4.71/5.00 (define @t188 () (tptp.k4_tex_4 @t3 @t186)) % 4.71/5.00 (define @t189 () (= (tptp.k5_subset_1 @t4 @t10 @t188) @t187)) % 4.71/5.00 (define @t190 () (tptp.m1_subset_1 @t186 @t4)) % 4.71/5.00 (define @t191 () (@list @t186)) % 4.71/5.00 (define @t192 () (forall @t191 (=> @t190 @t189))) % 4.71/5.00 (define @t193 () (= @t10 @t2)) % 4.71/5.00 (define @t194 () (and @t193 @t192)) % 4.71/5.00 (define @t195 () (=> @t194 @t9)) % 4.71/5.00 (define @t196 () (tptp.m1_subset_1 @t10 @t83)) % 4.71/5.00 (define @t197 () (=> @t196 @t195)) % 4.71/5.00 (define @t198 () (forall @t14 @t197)) % 4.71/5.00 (define @t199 () (=> @t17 @t198)) % 4.71/5.00 (define @t200 () (forall @t19 @t199)) % 4.71/5.00 (define @t201 () (=> @t25 @t200)) % 4.71/5.00 (define @t202 () (forall @t27 @t201)) % 4.71/5.00 (define @t203 () (=> @t33 @t202)) % 4.71/5.00 (define @t204 () (forall @t35 @t203)) % 4.71/5.00 (define @t205 () (tptp.m1_subset_1 @t3 @t1)) % 4.71/5.00 (define @t206 () (tptp.m1_subset_1 @t2 @t83)) % 4.71/5.00 (define @t207 () (forall @t27 (=> @t55 @t206))) % 4.71/5.00 (define @t208 () (=> @t29 @t207)) % 4.71/5.00 (define @t209 () (forall @t35 @t208)) % 4.71/5.00 (define @t210 () (tptp.k2_tex_4 @t3 @t5)) % 4.71/5.00 (define @t211 () (tptp.r2_hidden @t5 @t132)) % 4.71/5.00 (define @t212 () (= @t211 (= @t210 @t132))) % 4.71/5.00 (define @t213 () (=> @t105 @t212)) % 4.71/5.00 (define @t214 () (forall @t19 @t213)) % 4.71/5.00 (define @t215 () (=> @t129 @t214)) % 4.71/5.00 (define @t216 () (forall @t27 @t215)) % 4.71/5.00 (define @t217 () (=> @t85 @t216)) % 4.71/5.00 (define @t218 () (forall @t35 @t217)) % 4.71/5.00 (define @t219 () (or @t82 @t38)) % 4.71/5.00 (define @t220 () (forall @t39 (=> @t205 @t219))) % 4.71/5.00 (define @t221 () (tptp.m1_subset_1 @t3 @t5)) % 4.71/5.00 (define @t222 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t5))) % 4.71/5.00 (define @t223 () (and @t38 @t222)) % 4.71/5.00 (define @t224 () (forall @t79 (=> @t223 @t221))) % 4.71/5.00 (define @t225 () (@var "BOUND_VARIABLE_9601" $$unsorted)) % 4.71/5.00 (define @t226 () (@var "BOUND_VARIABLE_9599" $$unsorted)) % 4.71/5.00 (define @t227 () (tptp.u1_struct_0 @t226)) % 4.71/5.00 (define @t228 () (not @t190)) % 4.71/5.00 (define @t229 () (not (forall @t191 (or @t228 (= (tptp.k5_subset_1 @t4 @t227 @t188) (tptp.k1_struct_0 @t226 (tptp.k8_funct_2 @t4 @t227 @t225 @t186))))))) % 4.71/5.00 (define @t230 () (tptp.m2_relset_1 @t225 @t4 @t227)) % 4.71/5.00 (define @t231 () (tptp.v1_funct_2 @t225 @t4 @t227)) % 4.71/5.00 (define @t232 () (tptp.v1_funct_1 @t225)) % 4.71/5.00 (define @t233 () (and @t232 @t231 (tptp.v5_pre_topc @t225 @t3 @t226) @t230)) % 4.71/5.00 (define @t234 () (not @t230)) % 4.71/5.00 (define @t235 () (not @t231)) % 4.71/5.00 (define @t236 () (not @t232)) % 4.71/5.00 (define @t237 () (not (tptp.m1_subset_1 @t227 @t83))) % 4.71/5.00 (define @t238 () (not (tptp.m2_tsp_1 @t226 @t3))) % 4.71/5.00 (define @t239 () (not (tptp.v2_tsp_2 @t226 @t3))) % 4.71/5.00 (define @t240 () (tptp.v3_struct_0 @t226)) % 4.71/5.00 (define @t241 () (not @t29)) % 4.71/5.00 (define @t242 () (not @t30)) % 4.71/5.00 (define @t243 () (or @t240 @t239 @t238 @t237 @t236 @t235 @t234 @t233 @t229)) % 4.71/5.00 (define @t244 () (or @t31 @t242 @t241 @t243)) % 4.71/5.00 (define @t245 () (forall (@list @t3 @t226 @t225) @t244)) % 4.71/5.00 (define @t246 () (@list @t226 @t225)) % 4.71/5.00 (define @t247 () (forall @t246 @t244)) % 4.71/5.00 (define @t248 () (forall @t246 @t243)) % 4.71/5.00 (define @t249 () (@var "BOUND_VARIABLE_9568" $$unsorted)) % 4.71/5.00 (define @t250 () (or @t31 @t242 @t241 @t248)) % 4.71/5.00 (define @t251 () (tptp.k1_struct_0 @t1 (tptp.k8_funct_2 @t4 @t2 @t249 @t186))) % 4.71/5.00 (define @t252 () (tptp.k5_subset_1 @t4 @t2 @t188)) % 4.71/5.00 (define @t253 () (tptp.m2_relset_1 @t249 @t4 @t2)) % 4.71/5.00 (define @t254 () (tptp.v1_funct_2 @t249 @t4 @t2)) % 4.71/5.00 (define @t255 () (tptp.v1_funct_1 @t249)) % 4.71/5.00 (define @t256 () (and @t255 @t254 (tptp.v5_pre_topc @t249 @t3 @t1) @t253)) % 4.71/5.00 (define @t257 () (not @t253)) % 4.71/5.00 (define @t258 () (not @t254)) % 4.71/5.00 (define @t259 () (not @t255)) % 4.71/5.00 (define @t260 () (not @t206)) % 4.71/5.00 (define @t261 () (not @t21)) % 4.71/5.00 (define @t262 () (@list @t1 @t249)) % 4.71/5.00 (define @t263 () (forall @t262 (or @t23 @t88 @t261 @t260 @t259 @t258 @t257 @t256 (not (forall @t191 (or @t228 (= @t252 @t251))))))) % 4.71/5.00 (define @t264 () (or @t31 @t242 @t241 @t263)) % 4.71/5.00 (define @t265 () (or @t31 @t242 @t241)) % 4.71/5.00 (define @t266 () (not @t32)) % 4.71/5.00 (define @t267 () (or @t266 @t242 @t241)) % 4.71/5.00 (define @t268 () (not @t33)) % 4.71/5.00 (define @t269 () (or @t228 (= @t251 @t252))) % 4.71/5.00 (define @t270 () (forall @t191 @t269)) % 4.71/5.00 (define @t271 () (not @t270)) % 4.71/5.00 (define @t272 () (or @t23 @t88 @t261 @t260 @t259 @t258 @t257 @t256 @t271)) % 4.71/5.00 (define @t273 () (or @t259 @t258 @t257 @t256 @t271)) % 4.71/5.00 (define @t274 () (or @t23 @t88 @t261 @t260 @t273)) % 4.71/5.00 (define @t275 () (forall @t262 @t274)) % 4.71/5.00 (define @t276 () (@list @t249)) % 4.71/5.00 (define @t277 () (forall @t276 @t274)) % 4.71/5.00 (define @t278 () (forall @t276 @t273)) % 4.71/5.00 (define @t279 () (@list @t5)) % 4.71/5.00 (define @t280 () (or @t23 @t88 @t261 @t260 @t278)) % 4.71/5.00 (define @t281 () (not (forall @t191 (or @t228 (= @t187 @t252))))) % 4.71/5.00 (define @t282 () (not @t6)) % 4.71/5.00 (define @t283 () (not @t7)) % 4.71/5.00 (define @t284 () (not @t8)) % 4.71/5.00 (define @t285 () (or @t284 @t283 @t282 @t9 @t281)) % 4.71/5.00 (define @t286 () (forall @t19 @t285)) % 4.71/5.00 (define @t287 () (or @t23 @t88 @t261 @t260 @t286)) % 4.71/5.00 (define @t288 () (or @t260 @t286)) % 4.71/5.00 (define @t289 () (or @t23 @t88 @t261)) % 4.71/5.00 (define @t290 () (not @t24)) % 4.71/5.00 (define @t291 () (or @t290 @t88 @t261)) % 4.71/5.00 (define @t292 () (not @t25)) % 4.71/5.00 (define @t293 () (or @t260 @t285)) % 4.71/5.00 (define @t294 () (or @t284 @t283 @t282 @t9 @t260 @t281)) % 4.71/5.00 (define @t295 () (or @t9 @t260 @t281)) % 4.71/5.00 (define @t296 () (or @t284 @t283 @t282)) % 4.71/5.00 (define @t297 () (not @t17)) % 4.71/5.00 (define @t298 () (or @t260 @t281)) % 4.71/5.00 (define @t299 () (or @t228 (= @t252 @t187))) % 4.71/5.00 (define @t300 () (forall @t191 @t299)) % 4.71/5.00 (define @t301 () (not @t300)) % 4.71/5.00 (define @t302 () (not (= @t2 @t2))) % 4.71/5.00 (define @t303 () (or @t260 @t302 @t301)) % 4.71/5.00 (define @t304 () (forall @t191 (or @t228 @t189))) % 4.71/5.00 (define @t305 () (not @t304)) % 4.71/5.00 (define @t306 () (= @t2 @t10)) % 4.71/5.00 (define @t307 () (not @t306)) % 4.71/5.00 (define @t308 () (not @t196)) % 4.71/5.00 (define @t309 () (or @t307 @t308 @t307 @t305)) % 4.71/5.00 (define @t310 () (or @t308 @t307 @t305)) % 4.71/5.00 (define @t311 () (forall @t14 @t310)) % 4.71/5.00 (define @t312 () (or @t9 @t311)) % 4.71/5.00 (define @t313 () (or @t9 @t310)) % 4.71/5.00 (define @t314 () (or @t308 @t307 @t305 @t9)) % 4.71/5.00 (define @t315 () (or @t307 @t305 @t9)) % 4.71/5.00 (define @t316 () (and @t306 @t304)) % 4.71/5.00 (define @t317 () (=> @t316 @t9)) % 4.71/5.00 (define @t318 () (@var "BOUND_VARIABLE_8213" $$unsorted)) % 4.71/5.00 (define @t319 () (tptp.u1_struct_0 @t318)) % 4.71/5.00 (define @t320 () (@var "BOUND_VARIABLE_8215" $$unsorted)) % 4.71/5.00 (define @t321 () (tptp.m2_relset_1 @t320 @t4 @t319)) % 4.71/5.00 (define @t322 () (tptp.v1_funct_2 @t320 @t4 @t319)) % 4.71/5.00 (define @t323 () (tptp.v1_funct_1 @t320)) % 4.71/5.00 (define @t324 () (and @t323 @t322 (tptp.v5_pre_topc @t320 @t3 @t318) @t321)) % 4.71/5.00 (define @t325 () (not @t13)) % 4.71/5.00 (define @t326 () (not (forall @t14 (or @t325 (tptp.r2_hidden (tptp.k8_funct_2 @t4 @t319 @t320 @t10) @t11))))) % 4.71/5.00 (define @t327 () (not @t321)) % 4.71/5.00 (define @t328 () (not @t322)) % 4.71/5.00 (define @t329 () (not @t323)) % 4.71/5.00 (define @t330 () (not (tptp.m2_tsp_1 @t318 @t3))) % 4.71/5.00 (define @t331 () (not (tptp.v2_tsp_2 @t318 @t3))) % 4.71/5.00 (define @t332 () (tptp.v3_struct_0 @t318)) % 4.71/5.00 (define @t333 () (or @t31 @t242 @t241 @t332 @t331 @t330 @t329 @t328 @t327 @t326 @t324)) % 4.71/5.00 (define @t334 () (@list @t3 @t318 @t320)) % 4.71/5.00 (define @t335 () (forall @t334 @t333)) % 4.71/5.00 (define @t336 () (@quantifiers_skolemize @t335 2)) % 4.71/5.00 (define @t337 () (@quantifiers_skolemize @t335 1)) % 4.71/5.00 (define @t338 () (@quantifiers_skolemize @t335 0)) % 4.71/5.00 (define @t339 () (@var "BOUND_VARIABLE_9642" $$unsorted)) % 4.71/5.00 (define @t340 () (tptp.m1_subset_1 (tptp.u1_struct_0 @t339) @t83)) % 4.71/5.00 (define @t341 () (not (tptp.m1_pre_topc @t339 @t3))) % 4.71/5.00 (define @t342 () (or @t341 @t340)) % 4.71/5.00 (define @t343 () (or @t241 @t342)) % 4.71/5.00 (define @t344 () (forall (@list @t3 @t339) @t343)) % 4.71/5.00 (define @t345 () (@list @t339)) % 4.71/5.00 (define @t346 () (forall @t345 @t343)) % 4.71/5.00 (define @t347 () (forall @t345 @t342)) % 4.71/5.00 (define @t348 () (@list @t1)) % 4.71/5.00 (define @t349 () (or @t241 @t347)) % 4.71/5.00 (define @t350 () (forall @t27 (or (not @t55) @t206))) % 4.71/5.00 (define @t351 () (@list @t338 @t337)) % 4.71/5.00 (define @t352 () (@var "BOUND_VARIABLE_9472" $$unsorted)) % 4.71/5.00 (define @t353 () (= (tptp.m2_tsp_1 @t352 @t3) (tptp.m1_pre_topc @t352 @t3))) % 4.71/5.00 (define @t354 () (or @t241 @t353)) % 4.71/5.00 (define @t355 () (@list @t352)) % 4.71/5.00 (define @t356 () (forall @t355 @t354)) % 4.71/5.00 (define @t357 () (forall @t355 @t353)) % 4.71/5.00 (define @t358 () (or @t241 @t357)) % 4.71/5.00 (define @t359 () (or @t332 @t331 @t330 @t329 @t328 @t327 @t326 @t324)) % 4.71/5.00 (define @t360 () (or @t31 @t242 @t241 @t359)) % 4.71/5.00 (define @t361 () (forall @t334 @t360)) % 4.71/5.00 (define @t362 () (@list @t318 @t320)) % 4.71/5.00 (define @t363 () (forall @t362 @t360)) % 4.71/5.00 (define @t364 () (forall @t362 @t359)) % 4.71/5.00 (define @t365 () (@var "BOUND_VARIABLE_8184" $$unsorted)) % 4.71/5.00 (define @t366 () (or @t31 @t242 @t241 @t364)) % 4.71/5.00 (define @t367 () (tptp.m2_relset_1 @t365 @t4 @t2)) % 4.71/5.00 (define @t368 () (tptp.v1_funct_2 @t365 @t4 @t2)) % 4.71/5.00 (define @t369 () (tptp.v1_funct_1 @t365)) % 4.71/5.00 (define @t370 () (and @t369 @t368 (tptp.v5_pre_topc @t365 @t3 @t1) @t367)) % 4.71/5.00 (define @t371 () (not (forall @t14 (or @t325 (tptp.r2_hidden (tptp.k8_funct_2 @t4 @t2 @t365 @t10) @t11))))) % 4.71/5.00 (define @t372 () (not @t367)) % 4.71/5.00 (define @t373 () (not @t368)) % 4.71/5.00 (define @t374 () (not @t369)) % 4.71/5.00 (define @t375 () (or @t23 @t88 @t261 @t374 @t373 @t372 @t371 @t370)) % 4.71/5.00 (define @t376 () (@list @t1 @t365)) % 4.71/5.00 (define @t377 () (forall @t376 @t375)) % 4.71/5.00 (define @t378 () (or @t31 @t242 @t241 @t377)) % 4.71/5.00 (define @t379 () (or @t374 @t373 @t372 @t371 @t370)) % 4.71/5.00 (define @t380 () (or @t23 @t88 @t261 @t379)) % 4.71/5.00 (define @t381 () (forall @t376 @t380)) % 4.71/5.00 (define @t382 () (@list @t365)) % 4.71/5.00 (define @t383 () (forall @t382 @t380)) % 4.71/5.00 (define @t384 () (forall @t382 @t379)) % 4.71/5.00 (define @t385 () (or @t23 @t88 @t261 @t384)) % 4.71/5.00 (define @t386 () (forall @t14 (or @t325 @t12))) % 4.71/5.00 (define @t387 () (not @t386)) % 4.71/5.00 (define @t388 () (or @t284 @t283 @t282 @t387 @t9)) % 4.71/5.00 (define @t389 () (forall @t19 @t388)) % 4.71/5.00 (define @t390 () (or @t23 @t88 @t261 @t389)) % 4.71/5.00 (define @t391 () (=> @t386 @t9)) % 4.71/5.00 (define @t392 () (tptp.l1_pre_topc @t338)) % 4.71/5.00 (define @t393 () (tptp.u1_struct_0 @t337)) % 4.71/5.00 (define @t394 () (tptp.u1_struct_0 @t338)) % 4.71/5.00 (define @t395 () (tptp.m2_relset_1 @t336 @t394 @t393)) % 4.71/5.00 (define @t396 () (tptp.v1_funct_2 @t336 @t394 @t393)) % 4.71/5.00 (define @t397 () (tptp.v1_funct_1 @t336)) % 4.71/5.00 (define @t398 () (and @t397 @t396 (tptp.v5_pre_topc @t336 @t338 @t337) @t395)) % 4.71/5.00 (define @t399 () (forall @t14 (or (not (tptp.m1_subset_1 @t10 @t394)) (tptp.r2_hidden (tptp.k8_funct_2 @t394 @t393 @t336 @t10) (tptp.k4_tex_4 @t338 @t10))))) % 4.71/5.00 (define @t400 () (not @t399)) % 4.71/5.00 (define @t401 () (not @t395)) % 4.71/5.00 (define @t402 () (not @t396)) % 4.71/5.00 (define @t403 () (not @t397)) % 4.71/5.00 (define @t404 () (tptp.m2_tsp_1 @t337 @t338)) % 4.71/5.00 (define @t405 () (not @t404)) % 4.71/5.00 (define @t406 () (tptp.v2_tsp_2 @t337 @t338)) % 4.71/5.00 (define @t407 () (not @t406)) % 4.71/5.00 (define @t408 () (tptp.v3_struct_0 @t337)) % 4.71/5.00 (define @t409 () (not @t392)) % 4.71/5.00 (define @t410 () (tptp.v2_pre_topc @t338)) % 4.71/5.00 (define @t411 () (not @t410)) % 4.71/5.00 (define @t412 () (tptp.v3_struct_0 @t338)) % 4.71/5.00 (define @t413 () (or @t412 @t411 @t409 @t408 @t407 @t405 @t403 @t402 @t401 @t400 @t398)) % 4.71/5.00 (define @t414 () (@list true)) % 4.71/5.00 (define @t415 () (@list @t413)) % 4.71/5.00 (define @t416 () (tptp.m1_pre_topc @t337 @t338)) % 4.71/5.00 (define @t417 () (= @t404 @t416)) % 4.71/5.00 (define @t418 () (or @t409 @t417)) % 4.71/5.00 (define @t419 () (@list false false)) % 4.71/5.00 (define @t420 () (tptp.k1_zfmisc_1 @t394)) % 4.71/5.00 (define @t421 () (tptp.m1_subset_1 @t393 @t420)) % 4.71/5.00 (define @t422 () (not @t416)) % 4.71/5.00 (define @t423 () (or @t409 @t422 @t421)) % 4.71/5.00 (define @t424 () (@list false false false)) % 4.71/5.00 (define @t425 () (forall @t191 (or (not (tptp.m1_subset_1 @t186 @t394)) (= (tptp.k5_subset_1 @t394 @t393 (tptp.k4_tex_4 @t338 @t186)) (tptp.k1_struct_0 @t337 (tptp.k8_funct_2 @t394 @t393 @t336 @t186)))))) % 4.71/5.00 (define @t426 () (not @t425)) % 4.71/5.00 (define @t427 () (not @t421)) % 4.71/5.00 (define @t428 () (or @t412 @t411 @t409 @t408 @t407 @t405 @t427 @t403 @t402 @t401 @t398 @t426)) % 4.71/5.00 (define @t429 () (@quantifiers_skolemize @t425 0)) % 4.71/5.00 (define @t430 () (tptp.k8_funct_2 @t394 @t393 @t336 @t429)) % 4.71/5.00 (define @t431 () (tptp.k1_struct_0 @t337 @t430)) % 4.71/5.00 (define @t432 () (tptp.k4_tex_4 @t338 @t429)) % 4.71/5.00 (define @t433 () (tptp.k5_subset_1 @t394 @t393 @t432)) % 4.71/5.00 (define @t434 () (= @t433 @t431)) % 4.71/5.00 (define @t435 () (tptp.m1_subset_1 @t429 @t394)) % 4.71/5.00 (define @t436 () (not @t435)) % 4.71/5.00 (define @t437 () (or @t436 @t434)) % 4.71/5.00 (define @t438 () (@list @t437)) % 4.71/5.00 (define @t439 () (= @t132 @t134)) % 4.71/5.00 (define @t440 () (not @t129)) % 4.71/5.00 (define @t441 () (or @t31 @t242 @t241 @t440 @t439)) % 4.71/5.00 (define @t442 () (or @t31 @t242 @t241 @t440)) % 4.71/5.00 (define @t443 () (or @t266 @t242 @t241 @t440)) % 4.71/5.00 (define @t444 () (not @t136)) % 4.71/5.00 (define @t445 () (tptp.k2_tex_4 @t338 @t429)) % 4.71/5.00 (define @t446 () (or @t412 @t411 @t409 @t436 (= @t445 @t432))) % 4.71/5.00 (define @t447 () (forall @t39 @t441)) % 4.71/5.00 (define @t448 () (@list @t338 @t429)) % 4.71/5.00 (define @t449 () (= @t432 @t445)) % 4.71/5.00 (define @t450 () (or @t412 @t411 @t409 @t436 @t449)) % 4.71/5.00 (define @t451 () (@list false)) % 4.71/5.00 (define @t452 () (@list true false false false false)) % 4.71/5.00 (define @t453 () (not @t130)) % 4.71/5.00 (define @t454 () (or @t31 @t453 @t440 @t170)) % 4.71/5.00 (define @t455 () (or @t266 @t453 @t440)) % 4.71/5.00 (define @t456 () (not @t140)) % 4.71/5.00 (define @t457 () (not @t141)) % 4.71/5.00 (define @t458 () (not @t142)) % 4.71/5.00 (define @t459 () (not @t143)) % 4.71/5.00 (define @t460 () (or @t459 @t284 @t458 @t457 @t456)) % 4.71/5.00 (define @t461 () (tptp.m1_relset_1 @t336 @t394 @t393)) % 4.71/5.00 (define @t462 () (forall @t79 (= @t141 @t149))) % 4.71/5.00 (define @t463 () (= @t461 @t395)) % 4.71/5.00 (define @t464 () (= @t395 @t461)) % 4.71/5.00 (define @t465 () (@list @t338)) % 4.71/5.00 (define @t466 () (tptp.l1_struct_0 @t338)) % 4.71/5.00 (define @t467 () (or @t409 @t466)) % 4.71/5.00 (define @t468 () (tptp.v1_xboole_0 @t394)) % 4.71/5.00 (define @t469 () (not @t468)) % 4.71/5.00 (define @t470 () (not @t466)) % 4.71/5.00 (define @t471 () (or @t412 @t470 @t469)) % 4.71/5.00 (define @t472 () (@list true false false)) % 4.71/5.00 (define @t473 () (tptp.m1_subset_1 @t430 @t393)) % 4.71/5.00 (define @t474 () (not @t461)) % 4.71/5.00 (define @t475 () (or @t468 @t403 @t402 @t474 @t436 @t473)) % 4.71/5.00 (define @t476 () (@list @t337)) % 4.71/5.00 (define @t477 () (@var "BOUND_VARIABLE_9212" $$unsorted)) % 4.71/5.00 (define @t478 () (tptp.l1_pre_topc @t477)) % 4.71/5.00 (define @t479 () (not (tptp.m2_tsp_1 @t477 @t3))) % 4.71/5.00 (define @t480 () (or @t479 @t478)) % 4.71/5.00 (define @t481 () (or @t241 @t480)) % 4.71/5.00 (define @t482 () (forall (@list @t3 @t477) @t481)) % 4.71/5.00 (define @t483 () (@list @t477)) % 4.71/5.00 (define @t484 () (forall @t483 @t481)) % 4.71/5.00 (define @t485 () (forall @t483 @t480)) % 4.71/5.00 (define @t486 () (or @t241 @t485)) % 4.71/5.00 (define @t487 () (forall @t27 (or @t261 @t148))) % 4.71/5.00 (define @t488 () (tptp.l1_pre_topc @t337)) % 4.71/5.00 (define @t489 () (or @t409 @t405 @t488)) % 4.71/5.00 (define @t490 () (tptp.l1_struct_0 @t337)) % 4.71/5.00 (define @t491 () (not @t488)) % 4.71/5.00 (define @t492 () (or @t491 @t490)) % 4.71/5.00 (define @t493 () (tptp.k1_tarski @t430)) % 4.71/5.00 (define @t494 () (= @t431 @t493)) % 4.71/5.00 (define @t495 () (not @t473)) % 4.71/5.00 (define @t496 () (not @t490)) % 4.71/5.00 (define @t497 () (or @t408 @t496 @t495 @t494)) % 4.71/5.00 (define @t498 () (@list true false false false)) % 4.71/5.00 (define @t499 () (@var "BOUND_VARIABLE_9685" $$unsorted)) % 4.71/5.00 (define @t500 () (@var "BOUND_VARIABLE_9683" $$unsorted)) % 4.71/5.00 (define @t501 () (tptp.k2_tex_4 @t3 @t500)) % 4.71/5.00 (define @t502 () (= (tptp.r2_hidden @t499 @t501) (= @t501 (tptp.k2_tex_4 @t3 @t499)))) % 4.71/5.00 (define @t503 () (not (tptp.m1_subset_1 @t499 @t4))) % 4.71/5.00 (define @t504 () (not (tptp.m1_subset_1 @t500 @t4))) % 4.71/5.00 (define @t505 () (or @t504 @t503 @t502)) % 4.71/5.00 (define @t506 () (or @t31 @t241 @t505)) % 4.71/5.00 (define @t507 () (forall (@list @t3 @t500 @t499) @t506)) % 4.71/5.00 (define @t508 () (@list @t500 @t499)) % 4.71/5.00 (define @t509 () (forall @t508 @t506)) % 4.71/5.00 (define @t510 () (forall @t508 @t505)) % 4.71/5.00 (define @t511 () (@var "BOUND_VARIABLE_9665" $$unsorted)) % 4.71/5.00 (define @t512 () (or @t31 @t241 @t510)) % 4.71/5.00 (define @t513 () (= (tptp.r2_hidden @t511 @t132) (= @t132 (tptp.k2_tex_4 @t3 @t511)))) % 4.71/5.00 (define @t514 () (not (tptp.m1_subset_1 @t511 @t4))) % 4.71/5.00 (define @t515 () (or @t440 @t514 @t513)) % 4.71/5.00 (define @t516 () (@list @t1 @t511)) % 4.71/5.00 (define @t517 () (forall @t516 @t515)) % 4.71/5.00 (define @t518 () (or @t31 @t241 @t517)) % 4.71/5.00 (define @t519 () (or @t31 @t241)) % 4.71/5.00 (define @t520 () (not @t85)) % 4.71/5.00 (define @t521 () (or @t514 @t513)) % 4.71/5.00 (define @t522 () (or @t440 @t521)) % 4.71/5.00 (define @t523 () (forall @t516 @t522)) % 4.71/5.00 (define @t524 () (@list @t511)) % 4.71/5.00 (define @t525 () (forall @t524 @t522)) % 4.71/5.00 (define @t526 () (forall @t524 @t521)) % 4.71/5.00 (define @t527 () (or @t440 @t526)) % 4.71/5.00 (define @t528 () (= @t211 (= @t132 @t210))) % 4.71/5.00 (define @t529 () (not @t105)) % 4.71/5.00 (define @t530 () (forall @t19 (or @t529 @t528))) % 4.71/5.00 (define @t531 () (not @t222)) % 4.71/5.00 (define @t532 () (not @t38)) % 4.71/5.00 (define @t533 () (tptp.r2_hidden @t430 @t432)) % 4.71/5.00 (define @t534 () (or @t436 @t533)) % 4.71/5.00 (define @t535 () (tptp.m1_subset_1 @t432 @t420)) % 4.71/5.00 (define @t536 () (and (not (tptp.v1_xboole_0 @t432)) @t535)) % 4.71/5.00 (define @t537 () (or @t412 @t411 @t409 @t436 @t536)) % 4.71/5.00 (define @t538 () (tptp.m1_subset_1 @t430 @t394)) % 4.71/5.00 (define @t539 () (not @t535)) % 4.71/5.00 (define @t540 () (not @t533)) % 4.71/5.00 (define @t541 () (or @t540 @t539 @t538)) % 4.71/5.00 (define @t542 () (tptp.k2_tex_4 @t338 @t430)) % 4.71/5.00 (define @t543 () (= @t445 @t542)) % 4.71/5.00 (define @t544 () (tptp.r2_hidden @t430 @t445)) % 4.71/5.00 (define @t545 () (= @t544 @t543)) % 4.71/5.00 (define @t546 () (not @t538)) % 4.71/5.00 (define @t547 () (or @t412 @t409 @t436 @t546 @t545)) % 4.71/5.00 (define @t548 () (tptp.k1_struct_0 @t338 @t430)) % 4.71/5.00 (define @t549 () (or @t412 @t470 @t546 (= @t548 @t493))) % 4.71/5.00 (define @t550 () (forall @t39 @t454)) % 4.71/5.00 (define @t551 () (@list @t338 @t430)) % 4.71/5.00 (define @t552 () (= @t493 @t548)) % 4.71/5.00 (define @t553 () (or @t412 @t470 @t546 @t552)) % 4.71/5.00 (define @t554 () (tptp.k4_tex_4 @t338 @t430)) % 4.71/5.00 (define @t555 () (= @t542 @t554)) % 4.71/5.00 (define @t556 () (or @t412 @t411 @t409 @t546 @t555)) % 4.71/5.00 (define @t557 () (@var "BOUND_VARIABLE_9079" $$unsorted)) % 4.71/5.00 (define @t558 () (tptp.k5_subset_1 @t4 @t557 @t101)) % 4.71/5.00 (define @t559 () (not (tptp.r2_hidden @t5 @t557))) % 4.71/5.00 (define @t560 () (or @t529 @t559 (= @t558 @t100))) % 4.71/5.00 (define @t561 () (forall @t19 @t560)) % 4.71/5.00 (define @t562 () (tptp.v1_tsp_1 @t557 @t3)) % 4.71/5.00 (define @t563 () (= @t562 @t561)) % 4.71/5.00 (define @t564 () (not (tptp.m1_subset_1 @t557 @t83))) % 4.71/5.00 (define @t565 () (or @t31 @t242 @t241 @t564 @t563)) % 4.71/5.00 (define @t566 () (or @t564 @t563)) % 4.71/5.00 (define @t567 () (or @t31 @t242 @t241 @t566)) % 4.71/5.00 (define @t568 () (forall (@list @t3 @t557) @t567)) % 4.71/5.00 (define @t569 () (@list @t557)) % 4.71/5.00 (define @t570 () (forall @t569 @t567)) % 4.71/5.00 (define @t571 () (forall @t569 @t566)) % 4.71/5.00 (define @t572 () (or @t31 @t242 @t241 @t571)) % 4.71/5.00 (define @t573 () (not @t103)) % 4.71/5.00 (define @t574 () (or @t529 @t573 @t102)) % 4.71/5.00 (define @t575 () (= @t107 (forall @t19 @t574))) % 4.71/5.00 (define @t576 () (not @t84)) % 4.71/5.00 (define @t577 () (forall @t27 (or @t576 @t575))) % 4.71/5.00 (define @t578 () (or @t31 @t242 @t241 @t577)) % 4.71/5.00 (define @t579 () (@list @t338 @t393)) % 4.71/5.00 (define @t580 () (forall @t19 (or (not (tptp.m1_subset_1 @t5 @t394)) (not (tptp.r2_hidden @t5 @t393)) (= (tptp.k1_struct_0 @t338 @t5) (tptp.k5_subset_1 @t394 @t393 (tptp.k4_tex_4 @t338 @t5)))))) % 4.71/5.00 (define @t581 () (tptp.v1_tsp_1 @t393 @t338)) % 4.71/5.00 (define @t582 () (= @t581 @t580)) % 4.71/5.00 (define @t583 () (or @t412 @t411 @t409 @t427 @t582)) % 4.71/5.00 (define @t584 () (@var "BOUND_VARIABLE_9127" $$unsorted)) % 4.71/5.00 (define @t585 () (not (tptp.r1_tarski @t584 @t5))) % 4.71/5.00 (define @t586 () (not @t116)) % 4.71/5.00 (define @t587 () (not @t119)) % 4.71/5.00 (define @t588 () (or @t587 @t586 @t585 (= @t584 @t5))) % 4.71/5.00 (define @t589 () (forall @t19 @t588)) % 4.71/5.00 (define @t590 () (tptp.v1_tsp_1 @t584 @t3)) % 4.71/5.00 (define @t591 () (and @t590 @t589)) % 4.71/5.00 (define @t592 () (tptp.v1_tsp_2 @t584 @t3)) % 4.71/5.00 (define @t593 () (= @t592 @t591)) % 4.71/5.00 (define @t594 () (not (tptp.m1_subset_1 @t584 @t83))) % 4.71/5.00 (define @t595 () (or @t241 @t594 @t593)) % 4.71/5.00 (define @t596 () (or @t594 @t593)) % 4.71/5.00 (define @t597 () (or @t241 @t596)) % 4.71/5.00 (define @t598 () (forall (@list @t3 @t584) @t597)) % 4.71/5.00 (define @t599 () (@list @t584)) % 4.71/5.00 (define @t600 () (forall @t599 @t597)) % 4.71/5.00 (define @t601 () (forall @t599 @t596)) % 4.71/5.00 (define @t602 () (or @t241 @t601)) % 4.71/5.00 (define @t603 () (not @t115)) % 4.71/5.00 (define @t604 () (or @t587 @t586 @t603 @t114)) % 4.71/5.00 (define @t605 () (= @t122 (and @t107 (forall @t19 @t604)))) % 4.71/5.00 (define @t606 () (forall @t27 (or @t576 @t605))) % 4.71/5.00 (define @t607 () (or @t586 @t603 @t114)) % 4.71/5.00 (define @t608 () (and @t581 (forall @t19 (or (not (tptp.m1_subset_1 @t5 @t420)) (not (tptp.v1_tsp_1 @t5 @t338)) (not (tptp.r1_tarski @t393 @t5)) (= @t5 @t393))))) % 4.71/5.00 (define @t609 () (tptp.v1_tsp_2 @t393 @t338)) % 4.71/5.00 (define @t610 () (= @t609 @t608)) % 4.71/5.00 (define @t611 () (or @t409 @t427 @t610)) % 4.71/5.00 (define @t612 () (@var "BOUND_VARIABLE_9507" $$unsorted)) % 4.71/5.00 (define @t613 () (tptp.u1_struct_0 @t612)) % 4.71/5.00 (define @t614 () (= (tptp.v2_tsp_2 @t612 @t3) (tptp.v1_tsp_2 @t613 @t3))) % 4.71/5.00 (define @t615 () (not (tptp.m1_subset_1 @t613 @t83))) % 4.71/5.00 (define @t616 () (not (tptp.m2_tsp_1 @t612 @t3))) % 4.71/5.00 (define @t617 () (or @t616 @t615 @t614)) % 4.71/5.00 (define @t618 () (or @t31 @t241 @t617)) % 4.71/5.00 (define @t619 () (forall (@list @t3 @t612) @t618)) % 4.71/5.00 (define @t620 () (@list @t612)) % 4.71/5.00 (define @t621 () (forall @t620 @t618)) % 4.71/5.00 (define @t622 () (forall @t620 @t617)) % 4.71/5.00 (define @t623 () (or @t31 @t241 @t622)) % 4.71/5.00 (define @t624 () (= @t22 (tptp.v1_tsp_2 @t2 @t3))) % 4.71/5.00 (define @t625 () (or @t261 @t260 @t624)) % 4.71/5.00 (define @t626 () (forall @t27 @t625)) % 4.71/5.00 (define @t627 () (or @t31 @t241 @t626)) % 4.71/5.00 (define @t628 () (or @t260 @t624)) % 4.71/5.00 (define @t629 () (or @t260 @t302 @t624)) % 4.71/5.00 (define @t630 () (= @t22 @t177)) % 4.71/5.00 (define @t631 () (not @t178)) % 4.71/5.00 (define @t632 () (or @t631 @t587 @t631 @t630)) % 4.71/5.00 (define @t633 () (or @t587 @t631 @t630)) % 4.71/5.00 (define @t634 () (=> @t178 @t630)) % 4.71/5.00 (define @t635 () (= @t406 @t609)) % 4.71/5.00 (define @t636 () (or @t412 @t409 @t405 @t427 @t635)) % 4.71/5.00 (define @t637 () (not @t205)) % 4.71/5.00 (define @t638 () (tptp.v1_xboole_0 @t393)) % 4.71/5.00 (define @t639 () (not @t638)) % 4.71/5.00 (define @t640 () (or @t408 @t496 @t639)) % 4.71/5.00 (define @t641 () (tptp.r2_hidden @t430 @t393)) % 4.71/5.00 (define @t642 () (or @t495 @t638 @t641)) % 4.71/5.00 (define @t643 () (= @t548 (tptp.k5_subset_1 @t394 @t393 @t554))) % 4.71/5.00 (define @t644 () (not @t641)) % 4.71/5.00 (define @t645 () (or @t546 @t644 @t643)) % 4.71/5.00 (define @t646 () (and @t449 @t494 @t543 @t552 @t555 @t643)) % 4.71/5.00 (assume @p1 @t37) % 4.71/5.00 (assume @p2 (forall @t39 (=> @t38 (not (tptp.r2_hidden @t1 @t3))))) % 4.71/5.00 (assume @p3 (forall @t35 (=> @t42 (forall @t27 (=> @t41 @t40))))) % 4.71/5.00 (assume @p4 (forall @t35 (=> @t29 (=> (and @t32 @t30 @t47 @t50) (and @t32 @t49 @t30 @t47 @t45 (not @t43)))))) % 4.71/5.00 (assume @p5 (forall @t35 (=> @t33 (forall @t27 (=> @t55 (=> @t54 (and @t52 (not @t51)))))))) % 4.71/5.00 (assume @p6 (forall @t35 (=> @t57 (forall @t27 (=> @t41 (and @t40 @t56)))))) % 4.71/5.00 (assume @p7 (forall @t35 (=> (and @t32 @t30 @t50 @t29) (forall @t27 (=> @t55 (=> @t24 @t59)))))) % 4.71/5.00 (assume @p8 (forall @t35 (=> @t61 (forall @t27 (=> @t41 (and @t40 @t56 @t60)))))) % 4.71/5.00 (assume @p9 (forall @t35 (=> @t65 (forall @t27 (=> @t55 (=> (and @t24 @t63) (and @t24 (not (tptp.v3_realset2 @t1)) @t62))))))) % 4.71/5.00 (assume @p10 (forall @t35 (=> @t67 (forall @t27 (=> @t41 (and @t40 @t56 @t66 @t60)))))) % 4.71/5.00 (assume @p11 (forall @t35 (=> @t65 (forall @t27 (=> @t55 (=> @t59 (and @t24 @t53))))))) % 4.71/5.00 (assume @p12 (forall @t35 (=> @t68 (forall @t27 (=> @t41 (and @t40 (tptp.v4_ordinal2 @t1) @t56 @t66 @t60)))))) % 4.71/5.00 (assume @p13 (forall @t35 (=> @t69 (and @t42 @t57 @t61 @t67 @t68)))) % 4.71/5.00 (assume @p14 (forall @t35 (=> @t42 (forall @t27 (=> @t72 @t70))))) % 4.71/5.00 (assume @p15 (forall @t35 (=> @t57 (forall @t27 (=> @t72 (and @t70 @t73)))))) % 4.71/5.00 (assume @p16 (forall @t35 (=> @t61 (forall @t27 (=> @t72 (and @t70 @t73 @t74)))))) % 4.71/5.00 (assume @p17 (forall @t35 (=> @t67 (forall @t27 (=> @t72 (and @t70 @t73 @t74 @t75)))))) % 4.71/5.00 (assume @p18 (forall @t35 (=> @t68 @t67))) % 4.71/5.00 (assume @p19 (forall @t35 (=> @t76 (forall @t27 (=> @t55 @t52))))) % 4.71/5.00 (assume @p20 (forall @t79 (=> @t78 (tptp.v1_relat_1 @t5)))) % 4.71/5.00 (assume @p21 (forall @t35 (=> @t76 (forall @t27 (=> @t84 (=> @t82 (and @t81 @t80))))))) % 4.71/5.00 (assume @p22 (forall @t35 (=> @t29 (=> (and @t32 @t48) (and @t32 @t50))))) % 4.71/5.00 (assume @p23 (forall @t35 (=> @t85 (forall @t27 (=> @t55 (=> (and @t24 @t22) @t59)))))) % 4.71/5.00 (assume @p24 (forall @t35 (=> @t68 (forall @t27 (=> @t72 (and @t70 @t73 @t74 @t75 @t86)))))) % 4.71/5.00 (assume @p25 (forall @t35 (=> @t67 @t61))) % 4.71/5.00 (assume @p26 (forall @t35 (=> @t29 (forall @t27 (=> @t84 (=> @t82 @t87)))))) % 4.71/5.00 (assume @p27 (forall @t35 (=> @t29 (=> (and @t32 @t64) (and @t32 @t49))))) % 4.71/5.00 (assume @p28 (forall @t35 (=> @t85 (forall @t27 (=> @t55 (=> (and @t24 @t62) (and @t24 @t88))))))) % 4.71/5.00 (assume @p29 (forall @t35 (=> @t61 @t57))) % 4.71/5.00 (assume @p30 (forall @t35 (=> @t76 (forall @t27 (=> @t84 (=> @t82 @t89)))))) % 4.71/5.00 (assume @p31 (forall @t35 (=> @t29 (=> (and @t32 @t30 @t46) (and @t32 @t30 @t50))))) % 4.71/5.00 (assume @p32 (forall @t35 (=> @t33 (forall @t27 (=> @t55 (=> @t22 (and @t52 @t90))))))) % 4.71/5.00 (assume @p33 (forall @t35 (=> @t57 @t42))) % 4.71/5.00 (assume @p34 (forall @t35 (=> @t76 (forall @t27 (=> @t84 (=> @t89 @t87)))))) % 4.71/5.00 (assume @p35 (forall @t35 (=> @t29 (=> (and @t32 @t30 @t64) (and @t32 @t49 @t30 @t47))))) % 4.71/5.00 (assume @p36 (forall @t35 (=> @t33 (forall @t27 (=> @t55 (=> (not @t90) @t91)))))) % 4.71/5.00 (assume @p37 (forall @t35 (=> @t76 (forall @t27 (=> @t84 (=> (and @t80 @t87) (and @t87 @t89))))))) % 4.71/5.00 (assume @p38 (forall @t35 (=> @t29 (=> (and @t32 @t49 @t30 @t44) (and @t32 @t49 @t30 @t64))))) % 4.71/5.00 (assume @p39 (forall @t35 (=> @t33 (forall @t27 (=> @t55 (=> (and @t93 @t22) @t92)))))) % 4.71/5.00 (assume @p40 (forall @t35 (=> @t76 (forall @t27 (=> @t84 (=> (and @t81 @t89) (and @t82 @t81 @t80 @t70 @t73 @t74 @t75 @t86 @t87 @t89))))))) % 4.71/5.00 (assume @p41 (forall @t35 (=> @t29 (=> (and @t32 @t30 @t44 @t50) (and @t32 @t48 @t30 @t46 @t44 @t43 @t95 @t94 @t50))))) % 4.71/5.00 (assume @p42 (forall @t35 (=> @t33 (forall @t27 (=> @t55 (=> (and @t93 @t53) @t91)))))) % 4.71/5.00 (assume @p43 (forall @t35 (=> @t29 (=> (and @t32 @t49 @t30 @t50) (and @t32 @t49 @t30 @t45))))) % 4.71/5.00 (assume @p44 (forall @t35 (=> @t33 (forall @t27 (=> @t55 (=> @t54 (and @t52 (not @t93)))))))) % 4.71/5.00 (assume @p45 (forall @t35 (=> @t29 (=> (and @t32 @t30 @t43 @t50) (and @t32 @t30 @t46 @t43 @t95 @t94 @t50))))) % 4.71/5.00 (assume @p46 (forall @t35 (=> @t33 (forall @t27 (=> @t55 (=> (and @t51 @t22) @t92)))))) % 4.71/5.00 (assume @p47 (forall @t35 (=> @t29 (=> (and @t32 @t30 @t47 @t43) (and @t32 @t49 @t30 @t47 @t64))))) % 4.71/5.00 (assume @p48 (forall @t35 (=> @t33 (forall @t27 (=> @t55 (=> (and @t53 @t51) @t91)))))) % 4.71/5.00 (assume @p49 (forall @t39 (= @t97 @t96))) % 4.71/5.00 (assume @p50 (forall @t79 (=> @t99 (= @t98 (tptp.k5_subset_1 @t3 @t5 @t1))))) % 4.71/5.00 (assume @p51 @t112) % 4.71/5.00 (assume @p52 (forall @t39 (= @t113 (forall @t19 (=> (tptp.r2_hidden @t5 @t3) @t103))))) % 4.71/5.00 (assume @p53 @t127) % 4.71/5.00 (assume @p54 true) % 4.71/5.00 (assume @p55 (forall @t39 (=> @t131 (tptp.m1_subset_1 @t128 @t83)))) % 4.71/5.00 (assume @p56 (forall @t39 (=> @t133 (tptp.m1_subset_1 @t132 @t83)))) % 4.71/5.00 (assume @p57 @t137) % 4.71/5.00 (assume @p58 (forall @t79 (=> @t99 (tptp.m1_subset_1 @t98 @t71)))) % 4.71/5.00 (assume @p59 @t146) % 4.71/5.00 (assume @p60 @t147) % 4.71/5.00 (assume @p61 (forall @t35 (=> @t29 (forall @t27 (=> @t55 @t148))))) % 4.71/5.00 (assume @p62 (forall @t79 (=> @t149 @t78))) % 4.71/5.00 (assume @p63 @t152) % 4.71/5.00 (assume @p64 (exists @t35 @t29)) % 4.71/5.00 (assume @p65 (exists @t35 @t130)) % 4.71/5.00 (assume @p66 (forall @t35 (=> @t29 (exists @t27 @t55)))) % 4.71/5.00 (assume @p67 (forall @t39 (exists @t19 @t141))) % 4.71/5.00 (assume @p68 (forall @t35 (exists @t27 @t41))) % 4.71/5.00 (assume @p69 (forall @t39 (exists @t19 @t149))) % 4.71/5.00 (assume @p70 (forall @t35 (=> @t29 (exists @t27 @t21)))) % 4.71/5.00 (assume @p71 (forall @t35 (=> (tptp.v1_int_1 @t3) (and @t157 @t156 @t155 @t154)))) % 4.71/5.00 (assume @p72 (forall @t35 (=> (tptp.v4_ordinal2 @t3) (and @t157 @t156 @t155 @t154 (tptp.v5_membered @t153))))) % 4.71/5.00 (assume @p73 @t160) % 4.71/5.00 (assume @p74 (forall @t35 (not (tptp.v1_xboole_0 @t71)))) % 4.71/5.00 (assume @p75 (forall @t39 (=> @t42 @t161))) % 4.71/5.00 (assume @p76 (forall @t39 (=> @t42 @t162))) % 4.71/5.00 (assume @p77 (forall @t39 (=> @t57 (and @t161 @t163)))) % 4.71/5.00 (assume @p78 (forall @t35 (not (tptp.v1_xboole_0 @t153)))) % 4.71/5.00 (assume @p79 (forall @t39 (=> @t57 (and @t162 @t164)))) % 4.71/5.00 (assume @p80 (forall @t39 (=> @t61 (and @t161 @t163 @t165)))) % 4.71/5.00 (assume @p81 (forall @t39 (=> @t61 (and @t162 @t164 @t166)))) % 4.71/5.00 (assume @p82 (forall @t39 (=> @t67 (and @t161 @t163 @t165 @t167)))) % 4.71/5.00 (assume @p83 (forall @t39 (=> @t67 (and @t162 @t164 @t166 @t168)))) % 4.71/5.00 (assume @p84 (forall @t39 (=> @t68 (and @t161 @t163 @t165 @t167 (tptp.v5_membered @t97))))) % 4.71/5.00 (assume @p85 (forall @t39 (=> @t68 (and @t162 @t164 @t166 @t168 (tptp.v5_membered @t96))))) % 4.71/5.00 (assume @p86 (forall @t39 (=> (and @t143 @t169) (not (tptp.v1_xboole_0 @t77))))) % 4.71/5.00 (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))) % 4.71/5.00 (assume @p88 (forall @t35 (=> (tptp.v1_xcmplx_0 @t3) @t157))) % 4.71/5.00 (assume @p89 (forall @t35 (=> (tptp.v1_xreal_0 @t3) (and @t157 @t156)))) % 4.71/5.00 (assume @p90 (forall @t35 (=> (tptp.v1_rat_1 @t3) (and @t157 @t156 @t155)))) % 4.71/5.00 (assume @p91 (forall @t39 (= (tptp.k3_xboole_0 @t3 @t3) @t3))) % 4.71/5.00 (assume @p92 (forall @t79 (=> @t99 (= (tptp.k5_subset_1 @t3 @t1 @t1) @t1)))) % 4.71/5.00 (assume @p93 (exists @t35 (and @t143 @t42 @t57 @t61 @t67 @t68))) % 4.71/5.00 (assume @p94 (forall @t35 (=> @t143 (exists @t27 (and @t72 @t169))))) % 4.71/5.00 (assume @p95 (forall @t35 (=> @t76 (exists @t27 (and @t84 @t81))))) % 4.71/5.00 (assume @p96 (forall @t35 (exists @t27 (and @t72 @t82)))) % 4.71/5.00 (assume @p97 (forall @t35 (=> @t76 (exists @t27 (and @t84 @t81 @t80))))) % 4.71/5.00 (assume @p98 (exists @t35 (and @t130 @t32))) % 4.71/5.00 (assume @p99 (forall @t35 (=> @t33 (exists @t27 (and @t84 @t169 @t81 @t80))))) % 4.71/5.00 (assume @p100 (forall @t35 (=> @t29 (exists @t27 (and @t84 @t82 @t70 @t73 @t74 @t75 @t86 @t87))))) % 4.71/5.00 (assume @p101 (forall @t35 (=> @t159 (exists @t27 (and @t84 @t169))))) % 4.71/5.00 (assume @p102 (forall @t35 (=> @t76 (exists @t27 (and @t84 @t82 @t81 @t80 @t70 @t73 @t74 @t75 @t86 @t87 @t89))))) % 4.71/5.00 (assume @p103 (forall @t35 (=> @t76 (exists @t27 (and @t84 @t80))))) % 4.71/5.00 (assume @p104 (forall @t35 (=> @t33 (exists @t27 (and @t84 @t169 @t80))))) % 4.71/5.00 (assume @p105 @t171) % 4.71/5.00 (assume @p106 @t173) % 4.71/5.00 (assume @p107 (forall @t79 (=> @t99 (= @t98 (tptp.k3_xboole_0 @t1 @t5))))) % 4.71/5.00 (assume @p108 (forall @t145 (=> @t144 (= @t138 (tptp.k1_funct_1 @t5 @t10))))) % 4.71/5.00 (assume @p109 @t174) % 4.71/5.00 (assume @p110 @t176) % 4.71/5.00 (assume @p111 (forall @t39 (tptp.r1_tarski @t3 @t3))) % 4.71/5.00 (assume @p112 @t185) % 4.71/5.00 (assume @p113 @t204) % 4.71/5.00 (assume @p114 (forall @t39 (=> @t38 @t205))) % 4.71/5.00 (assume @p115 @t209) % 4.71/5.00 (assume @p116 @t218) % 4.71/5.00 (assume @p117 (forall @t35 (= (tptp.k3_xboole_0 @t3 tptp.k1_xboole_0) tptp.k1_xboole_0))) % 4.71/5.00 (assume @p118 @t220) % 4.71/5.00 (assume @p119 (forall @t39 (= (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 @t1)) @t113))) % 4.71/5.00 (assume @p120 @t224) % 4.71/5.00 (assume @p121 (forall @t79 (not (and @t38 @t222 (tptp.v1_xboole_0 @t5))))) % 4.71/5.00 (assume @p122 (forall @t35 (=> @t69 (= @t3 tptp.k1_xboole_0)))) % 4.71/5.00 (assume @p123 (forall @t39 (not (and @t38 @t82)))) % 4.71/5.00 (assume @p124 (forall @t39 (not (and @t69 (not (= @t3 @t1)) @t82)))) % 4.71/5.00 (step @p125 :rule aci_norm :args ((= @t244 (or @t31 @t242 @t241 @t240 @t239 @t238 @t237 @t236 @t235 @t234 @t233 @t229)))) % 4.71/5.00 (step @p126 :rule cong :premises (@p125) :args (@t245)) % 4.71/5.00 (step @p127 :rule quant-merge-prenex :args ((= (forall @t35 @t247) @t245))) % 4.71/5.00 (step @p128 :rule alpha_equiv :args (@t248 (@list @t226 @t225) (@list @t1 @t249))) % 4.71/5.00 (step @p129 :rule refl :args (@t241)) % 4.71/5.00 (step @p130 :rule refl :args (@t242)) % 4.71/5.00 (step @p131 :rule refl :args (@t31)) % 4.71/5.00 (step @p132 :rule nary_cong :premises (@p131 @p130 @p129 @p128) :args (@t250)) % 4.71/5.00 (step @p133 :rule quant-miniscope-or :args ((= @t247 @t250))) % 4.71/5.00 (step @p134 :rule trans :premises (@p133 @p132)) % 4.71/5.00 (step @p135 :rule symm :premises (@p134)) % 4.71/5.00 (step @p136 :rule cong :premises (@p135) :args ((forall @t35 @t264))) % 4.71/5.00 (step @p137 :rule trans :premises (@p136 @p127)) % 4.71/5.00 (step @p138 :rule trans :premises (@p137 @p126)) % 4.71/5.00 (step @p139 :rule aci_norm :args ((= (or @t265 @t263) @t264))) % 4.71/5.00 (step @p140 :rule refl :args (@t263)) % 4.71/5.00 (step @p141 :rule bool-double-not-elim :args (@t31)) % 4.71/5.00 (step @p142 :rule nary_cong :premises (@p141 @p130 @p129) :args (@t267)) % 4.71/5.00 (step @p143 :rule aci_norm :args ((= (or @t266 (or @t242 @t241)) @t267))) % 4.71/5.00 (step @p144 :rule trans :premises (@p143 @p142)) % 4.71/5.00 (step @p145 :rule bool-and-de-morgan :args (@t30 @t29 true)) % 4.71/5.00 (step @p146 :rule refl :args (@t266)) % 4.71/5.00 (step @p147 :rule nary_cong :premises (@p146 @p145) :args ((or @t266 (not @t76)))) % 4.71/5.00 (step @p148 :rule bool-and-de-morgan :args (@t32 @t30 (and @t29))) % 4.71/5.00 (step @p149 :rule trans :premises (@p148 @p147)) % 4.71/5.00 (step @p150 :rule trans :premises (@p149 @p144)) % 4.71/5.00 (step @p151 :rule nary_cong :premises (@p150 @p140) :args ((or @t268 @t263))) % 4.71/5.00 (step @p152 :rule trans :premises (@p151 @p139)) % 4.71/5.00 (step @p153 :rule bool-impl-elim :args (@t33 @t263)) % 4.71/5.00 (step @p154 :rule trans :premises (@p153 @p152)) % 4.71/5.00 (step @p155 :rule cong :premises (@p154) :args ((forall @t35 (=> @t33 @t263)))) % 4.71/5.00 (step @p156 :rule trans :premises (@p155 @p138)) % 4.71/5.00 (step @p157 :rule eq-symm :args (@t251 @t252)) % 4.71/5.00 (step @p158 :rule refl :args (@t228)) % 4.71/5.00 (step @p159 :rule nary_cong :premises (@p158 @p157) :args (@t269)) % 4.71/5.00 (step @p160 :rule cong :premises (@p159) :args (@t270)) % 4.71/5.00 (step @p161 :rule cong :premises (@p160) :args (@t271)) % 4.71/5.00 (step @p162 :rule refl :args (@t256)) % 4.71/5.00 (step @p163 :rule refl :args (@t257)) % 4.71/5.00 (step @p164 :rule refl :args (@t258)) % 4.71/5.00 (step @p165 :rule refl :args (@t259)) % 4.71/5.00 (step @p166 :rule refl :args (@t260)) % 4.71/5.00 (step @p167 :rule refl :args (@t261)) % 4.71/5.00 (step @p168 :rule refl :args (@t88)) % 4.71/5.00 (step @p169 :rule refl :args (@t23)) % 4.71/5.00 (step @p170 :rule nary_cong :premises (@p169 @p168 @p167 @p166 @p165 @p164 @p163 @p162 @p161) :args (@t272)) % 4.71/5.00 (step @p171 :rule aci_norm :args ((= @t274 @t272))) % 4.71/5.00 (step @p172 :rule trans :premises (@p171 @p170)) % 4.71/5.00 (step @p173 :rule cong :premises (@p172) :args (@t275)) % 4.71/5.00 (step @p174 :rule quant-merge-prenex :args ((= (forall @t27 @t277) @t275))) % 4.71/5.00 (step @p175 :rule alpha_equiv :args (@t278 (@list @t249) @t279)) % 4.71/5.00 (step @p176 :rule refl :args (@t260)) % 4.71/5.00 (step @p177 :rule refl :args (@t261)) % 4.71/5.00 (step @p178 :rule refl :args (@t88)) % 4.71/5.00 (step @p179 :rule refl :args (@t23)) % 4.71/5.00 (step @p180 :rule nary_cong :premises (@p179 @p178 @p177 @p176 @p175) :args (@t280)) % 4.71/5.00 (step @p181 :rule quant-miniscope-or :args ((= @t277 @t280))) % 4.71/5.00 (step @p182 :rule trans :premises (@p181 @p180)) % 4.71/5.00 (step @p183 :rule symm :premises (@p182)) % 4.71/5.00 (step @p184 :rule cong :premises (@p183) :args ((forall @t27 @t287))) % 4.71/5.00 (step @p185 :rule trans :premises (@p184 @p174)) % 4.71/5.00 (step @p186 :rule trans :premises (@p185 @p173)) % 4.71/5.00 (step @p187 :rule aci_norm :args ((= (or @t289 @t288) @t287))) % 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(@p131 @p129 @p861) :args (@t623)) % 4.71/5.00 (step @p863 :rule quant-miniscope-or :args ((= @t621 @t623))) % 4.71/5.00 (step @p864 :rule trans :premises (@p863 @p862)) % 4.71/5.00 (step @p865 :rule symm :premises (@p864)) % 4.71/5.00 (step @p866 :rule cong :premises (@p865) :args ((forall @t35 @t627))) % 4.71/5.00 (step @p867 :rule trans :premises (@p866 @p860)) % 4.71/5.00 (step @p868 :rule trans :premises (@p867 @p859)) % 4.71/5.00 (step @p869 :rule aci_norm :args ((= (or @t519 @t626) @t627))) % 4.71/5.00 (step @p870 :rule refl :args (@t626)) % 4.71/5.00 (step @p871 :rule nary_cong :premises (@p635 @p870) :args ((or @t520 @t626))) % 4.71/5.00 (step @p872 :rule trans :premises (@p871 @p869)) % 4.71/5.00 (step @p873 :rule bool-impl-elim :args (@t85 @t626)) % 4.71/5.00 (step @p874 :rule trans :premises (@p873 @p872)) % 4.71/5.00 (step @p875 :rule cong :premises (@p874) :args ((forall @t35 (=> @t85 @t626)))) % 4.71/5.00 (step @p876 :rule trans :premises (@p875 @p868)) % 4.71/5.00 (step @p877 :rule aci_norm :args ((= (or @t261 @t628) @t625))) % 4.71/5.00 (step @p878 :rule bool-impl-elim :args (@t21 @t628)) % 4.71/5.00 (step @p879 :rule trans :premises (@p878 @p877)) % 4.71/5.00 (step @p880 :rule cong :premises (@p879) :args ((forall @t27 (=> @t21 @t628)))) % 4.71/5.00 (step @p881 :rule aci_norm :args ((= (or @t260 false @t624) @t628))) % 4.71/5.00 (step @p882 :rule refl :args (@t624)) % 4.71/5.00 (step @p883 :rule nary_cong :premises (@p166 @p233 @p882) :args (@t629)) % 4.71/5.00 (step @p884 :rule trans :premises (@p883 @p881)) % 4.71/5.00 (step @p885 :rule quant-var-elim-eq :args ((= (forall @t19 @t632) @t629))) % 4.71/5.00 (step @p886 :rule aci_norm :args ((= @t633 @t632))) % 4.71/5.00 (step @p887 :rule cong :premises (@p886) :args ((forall @t19 @t633))) % 4.71/5.00 (step @p888 :rule trans :premises (@p887 @p885)) % 4.71/5.00 (step @p889 :rule trans :premises (@p888 @p884)) % 4.71/5.00 (step @p890 :rule aci_norm :args ((= (or @t587 (or @t631 @t630)) @t633))) % 4.71/5.00 (step @p891 :rule bool-impl-elim :args (@t178 @t630)) % 4.71/5.00 (step @p892 :rule nary_cong :premises (@p838 @p891) :args ((or @t587 @t634))) % 4.71/5.00 (step @p893 :rule trans :premises (@p892 @p890)) % 4.71/5.00 (step @p894 :rule bool-impl-elim :args (@t119 @t634)) % 4.71/5.00 (step @p895 :rule trans :premises (@p894 @p893)) % 4.71/5.00 (step @p896 :rule cong :premises (@p895) :args ((forall @t19 (=> @t119 @t634)))) % 4.71/5.00 (step @p897 :rule trans :premises (@p896 @p889)) % 4.71/5.00 (step @p898 :rule eq-symm :args (@t177 @t22)) % 4.71/5.00 (step @p899 :rule refl :args (@t178)) % 4.71/5.00 (step @p900 :rule cong :premises (@p899 @p898) :args (@t179)) % 4.71/5.00 (step @p901 :rule refl :args (@t119)) % 4.71/5.00 (step @p902 :rule cong :premises (@p901 @p900) :args (@t180)) % 4.71/5.00 (step @p903 :rule cong :premises (@p902) :args (@t181)) % 4.71/5.00 (step @p904 :rule trans :premises (@p903 @p897)) % 4.71/5.00 (step @p905 :rule refl :args (@t21)) % 4.71/5.00 (step @p906 :rule cong :premises (@p905 @p904) :args (@t182)) % 4.71/5.00 (step @p907 :rule cong :premises (@p906) :args (@t183)) % 4.71/5.00 (step @p908 :rule trans :premises (@p907 @p880)) % 4.71/5.00 (step @p909 :rule cong :premises (@p669 @p908) :args (@t184)) % 4.71/5.00 (step @p910 :rule cong :premises (@p909) :args (@t185)) % 4.71/5.00 (step @p911 :rule trans :premises (@p910 @p876)) % 4.71/5.00 (step @p912 :rule eq_resolve :premises (@p112 @p911)) % 4.71/5.00 (step @p913 :rule instantiate :premises (@p912) :args (@t351)) % 4.71/5.00 (step @p914 :rule cnf_or_pos :args (@t636)) % 4.71/5.00 (step @p915 :rule reordering :premises (@p914) :args ((or @t412 @t409 @t405 @t427 @t635 (not @t636)))) % 4.71/5.00 (step @p916 :rule chain_m_resolution :premises (@p915 @p445 @p394 @p403 @p409 @p913) :args (@t635 @t452 (@list @t412 @t392 @t404 @t421 @t636))) % 4.71/5.00 (step @p917 :rule cnf_equiv_pos1 :args (@t635)) % 4.71/5.00 (step @p918 :rule reordering :premises (@p917) :args ((or @t407 @t609 (not @t635)))) % 4.71/5.00 (step @p919 :rule chain_m_resolution :premises (@p918 @p435 @p916) :args (@t609 @t419 (@list @t406 @t635))) % 4.71/5.00 (step @p920 :rule cnf_equiv_pos1 :args (@t610)) % 4.71/5.00 (step @p921 :rule reordering :premises (@p920) :args ((or (not @t609) @t608 (not @t610)))) % 4.71/5.00 (step @p922 :rule chain_m_resolution :premises (@p921 @p919 @p857) :args (@t608 @t419 (@list @t609 @t610))) % 4.71/5.00 (step @p923 :rule cnf_and_pos :args (@t608 0)) % 4.71/5.00 (step @p924 :rule reordering :premises (@p923) :args ((or @t581 (not @t608)))) % 4.71/5.00 (step @p925 :rule chain_m_resolution :premises (@p924 @p922) :args (@t581 @t451 (@list @t608))) % 4.71/5.00 (step @p926 :rule cnf_equiv_pos1 :args (@t582)) % 4.71/5.00 (step @p927 :rule reordering :premises (@p926) :args ((or @t580 (not @t581) (not @t582)))) % 4.71/5.00 (step @p928 :rule chain_m_resolution :premises (@p927 @p925 @p800) :args (@t580 @t419 (@list @t581 @t582))) % 4.71/5.00 (step @p929 :rule instantiate :premises (@p928) :args ((@list @t430))) % 4.71/5.00 (step @p930 :rule aci_norm :args ((= (or @t637 @t219) (or @t637 @t82 @t38)))) % 4.71/5.00 (step @p931 :rule bool-impl-elim :args (@t205 @t219)) % 4.71/5.00 (step @p932 :rule trans :premises (@p931 @p930)) % 4.71/5.00 (step @p933 :rule cong :premises (@p932) :args (@t220)) % 4.71/5.00 (step @p934 :rule eq_resolve :premises (@p118 @p933)) % 4.71/5.00 (step @p935 :rule instantiate :premises (@p934) :args ((@list @t430 @t393))) % 4.71/5.00 (step @p936 :rule instantiate :premises (@p574) :args (@t476)) % 4.71/5.00 (step @p937 :rule cnf_or_pos :args (@t640)) % 4.71/5.00 (step @p938 :rule reordering :premises (@p937) :args ((or @t408 @t496 @t639 (not @t640)))) % 4.71/5.02 (step @p939 :rule chain_m_resolution :premises (@p938 @p437 @p616 @p936) :args (@t639 @t472 (@list @t408 @t490 @t640))) % 4.71/5.02 (step @p940 :rule cnf_or_pos :args (@t642)) % 4.71/5.02 (step @p941 :rule reordering :premises (@p940) :args ((or @t638 @t495 @t641 (not @t642)))) % 4.71/5.02 (step @p942 :rule chain_m_resolution :premises (@p941 @p939 @p588 @p935) :args (@t641 @t472 (@list @t638 @t473 @t642))) % 4.71/5.02 (step @p943 :rule cnf_or_pos :args (@t645)) % 4.71/5.02 (step @p944 :rule reordering :premises (@p943) :args ((or @t546 @t644 @t643 (not @t645)))) % 4.71/5.02 (step @p945 :rule chain_m_resolution :premises (@p944 @p712 @p942 @p929) :args (@t643 @t424 (@list @t538 @t641 @t645))) % 4.71/5.02 (assume-push @p978 @t449) % 4.71/5.02 (assume-push @p979 @t494) % 4.71/5.02 (assume-push @p980 @t543) % 4.71/5.02 (assume-push @p981 @t552) % 4.71/5.02 (assume-push @p982 @t555) % 4.71/5.02 (assume-push @p983 @t643) % 4.71/5.02 (step @p952 :rule symm :premises (@p619)) % 4.71/5.02 (step @p953 :rule symm :premises (@p740)) % 4.71/5.02 (step @p954 :rule symm :premises (@p945)) % 4.71/5.02 (step @p955 :rule trans :premises (@p501 @p724 @p744)) % 4.71/5.02 (step @p956 :rule refl :args (@t393)) % 4.71/5.02 (step @p957 :rule refl :args (@t394)) % 4.71/5.02 (step @p958 :rule cong :premises (@p957 @p956 @p955) :args (@t433)) % 4.71/5.02 (step @p959 :rule trans :premises (@p958 @p954 @p953 @p952)) % 4.71/5.02 (step-pop @p984 :rule scope :premises (@p959)) % 4.71/5.02 (step-pop @p985 :rule scope :premises (@p984)) % 4.71/5.02 (step-pop @p986 :rule scope :premises (@p985)) % 4.71/5.02 (step-pop @p987 :rule scope :premises (@p986)) % 4.71/5.02 (step-pop @p988 :rule scope :premises (@p987)) % 4.71/5.02 (step-pop @p989 :rule scope :premises (@p988)) % 4.71/5.02 (step @p960 :rule process_scope :premises (@p989) :args (@t434)) % 4.71/5.02 (step @p967 :rule implies_elim :premises (@p960)) % 4.71/5.02 (step @p968 :rule cnf_and_neg :args (@t646)) % 4.71/5.02 (step @p969 :rule resolution :premises (@p968 @p967) :args (true @t646)) % 4.71/5.02 (step @p970 :rule reordering :premises (@p969) :args ((or @t434 (not @t449) (not @t494) (not @t543) (not @t552) (not @t555) (not @t643)))) % 4.71/5.02 (step @p971 false :rule chain_m_resolution :premises (@p970 @p945 @p744 @p740 @p724 @p619 @p501 @p451) :args (false (@list false false false false false false true) (@list @t643 @t555 @t552 @t543 @t494 @t449 @t434))) % 4.71/5.02 ) % 4.71/5.02 % SZS output end Proof % 4.71/5.02 % cvc5 exiting %------------------------------------------------------------------------------