%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : TOP037+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 : n022.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 09:15:49 AM UTC 2026 % Result : Theorem 2.00s 2.28s % Output : Proof 2.00s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : TOP037+1 : TPTP v9.2.1. Released v3.4.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n022.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Wed Jun 3 01:22:23 EDT 2026 % 0.19/0.36 % CPUTime : % 0.27/0.54 %----Proving TF0_NAR, FOF, or CNF % 2.00/2.28 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 2.00/2.28 % SZS status Theorem % 2.00/2.28 % SZS output start Proof % 2.00/2.28 ( % 2.00/2.28 (declare-sort $$unsorted 0) % 2.00/2.28 (declare-const tptp.k5_pre_topc (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.00/2.28 (declare-const tptp.v5_pre_topc (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.00/2.28 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.00/2.28 (declare-const tptp.k1_tsp_2 (-> $$unsorted $$unsorted $$unsorted)) % 2.00/2.28 (declare-const tptp.v4_tdlat_3 (-> $$unsorted Bool)) % 2.00/2.28 (declare-const tptp.v1_tsep_1 (-> $$unsorted $$unsorted Bool)) % 2.00/2.28 (declare-const tptp.v1_tex_3 (-> $$unsorted $$unsorted Bool)) % 2.00/2.28 (declare-const tptp.v2_tops_1 (-> $$unsorted $$unsorted Bool)) % 2.00/2.28 (declare-const tptp.v3_pre_topc (-> $$unsorted $$unsorted Bool)) % 2.00/2.28 (declare-const tptp.v4_pre_topc (-> $$unsorted $$unsorted Bool)) % 2.00/2.28 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 2.00/2.28 (declare-const tptp.k2_relat_1 (-> $$unsorted $$unsorted)) % 2.00/2.28 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 2.00/2.28 (declare-const tptp.v5_tdlat_3 (-> $$unsorted Bool)) % 2.00/2.28 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 2.00/2.28 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.00/2.28 (declare-const tptp.v1_borsuk_1 (-> $$unsorted $$unsorted Bool)) % 2.00/2.28 (declare-const tptp.k4_tsp_2 (-> $$unsorted $$unsorted $$unsorted)) % 2.00/2.28 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 2.00/2.28 (declare-const tptp.l1_pre_topc (-> $$unsorted Bool)) % 2.00/2.28 (declare-const tptp.v3_tdlat_3 (-> $$unsorted Bool)) % 2.00/2.28 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 2.00/2.28 (declare-const tptp.v3_realset2 (-> $$unsorted Bool)) % 2.00/2.28 (declare-const tptp.v4_ordinal2 (-> $$unsorted Bool)) % 2.00/2.28 (declare-const tptp.v2_tsp_2 (-> $$unsorted $$unsorted Bool)) % 2.00/2.28 (declare-const tptp.k2_funct_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.00/2.28 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 2.00/2.28 (declare-const tptp.m2_tsp_1 (-> $$unsorted $$unsorted Bool)) % 2.00/2.28 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 2.00/2.28 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 2.00/2.28 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 2.00/2.28 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 2.00/2.28 (declare-const tptp.v2_pre_topc (-> $$unsorted Bool)) % 2.00/2.28 (declare-const tptp.k10_relat_1 (-> $$unsorted $$unsorted $$unsorted)) % 2.00/2.28 (declare-const tptp.v2_tdlat_3 (-> $$unsorted Bool)) % 2.00/2.28 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 2.00/2.28 (declare-const tptp.k3_tex_4 (-> $$unsorted $$unsorted $$unsorted)) % 2.00/2.28 (declare-const tptp.k4_pre_topc (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.00/2.28 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 2.00/2.28 (declare-const tptp.v3_tops_1 (-> $$unsorted $$unsorted Bool)) % 2.00/2.28 (declare-const tptp.v2_tex_2 (-> $$unsorted $$unsorted Bool)) % 2.00/2.28 (declare-const tptp.k1_xboole_0 $$unsorted) % 2.00/2.28 (declare-const tptp.v1_tdlat_3 (-> $$unsorted Bool)) % 2.00/2.28 (declare-const tptp.v2_t_0topsp (-> $$unsorted Bool)) % 2.00/2.28 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 2.00/2.28 (declare-const tptp.m1_pre_topc (-> $$unsorted $$unsorted Bool)) % 2.00/2.28 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.00/2.28 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 2.00/2.28 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 2.00/2.28 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 2.00/2.28 (declare-const tptp.k9_relat_1 (-> $$unsorted $$unsorted $$unsorted)) % 2.00/2.28 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 2.00/2.28 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 2.00/2.28 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 2.00/2.28 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 2.00/2.28 (define @t1 () (@var "C" $$unsorted)) % 2.00/2.28 (define @t2 () (@var "A" $$unsorted)) % 2.00/2.28 (define @t3 () (tptp.k3_tex_4 @t2 @t1)) % 2.00/2.28 (define @t4 () (@var "B" $$unsorted)) % 2.00/2.28 (define @t5 () (tptp.k4_tsp_2 @t2 @t4)) % 2.00/2.28 (define @t6 () (tptp.k4_pre_topc @t2 @t4 @t5 @t1)) % 2.00/2.28 (define @t7 () (= @t6 (tptp.k4_pre_topc @t2 @t4 @t5 @t3))) % 2.00/2.28 (define @t8 () (tptp.u1_struct_0 @t2)) % 2.00/2.28 (define @t9 () (tptp.k1_zfmisc_1 @t8)) % 2.00/2.28 (define @t10 () (tptp.m1_subset_1 @t1 @t9)) % 2.00/2.28 (define @t11 () (@list @t1)) % 2.00/2.28 (define @t12 () (forall @t11 (=> @t10 @t7))) % 2.00/2.28 (define @t13 () (tptp.m2_tsp_1 @t4 @t2)) % 2.00/2.28 (define @t14 () (tptp.v2_tsp_2 @t4 @t2)) % 2.00/2.28 (define @t15 () (tptp.v3_struct_0 @t4)) % 2.00/2.28 (define @t16 () (not @t15)) % 2.00/2.28 (define @t17 () (and @t16 @t14 @t13)) % 2.00/2.28 (define @t18 () (=> @t17 @t12)) % 2.00/2.28 (define @t19 () (@list @t4)) % 2.00/2.28 (define @t20 () (forall @t19 @t18)) % 2.00/2.28 (define @t21 () (tptp.l1_pre_topc @t2)) % 2.00/2.28 (define @t22 () (tptp.v2_pre_topc @t2)) % 2.00/2.28 (define @t23 () (tptp.v3_struct_0 @t2)) % 2.00/2.28 (define @t24 () (not @t23)) % 2.00/2.28 (define @t25 () (and @t24 @t22 @t21)) % 2.00/2.28 (define @t26 () (=> @t25 @t20)) % 2.00/2.28 (define @t27 () (@list @t2)) % 2.00/2.28 (define @t28 () (forall @t27 @t26)) % 2.00/2.28 (define @t29 () (not @t28)) % 2.00/2.28 (define @t30 () (tptp.r2_hidden @t2 @t4)) % 2.00/2.28 (define @t31 () (@list @t2 @t4)) % 2.00/2.28 (define @t32 () (tptp.v1_xcmplx_0 @t4)) % 2.00/2.28 (define @t33 () (tptp.m1_subset_1 @t4 @t2)) % 2.00/2.28 (define @t34 () (tptp.v1_membered @t2)) % 2.00/2.28 (define @t35 () (tptp.v3_tdlat_3 @t2)) % 2.00/2.28 (define @t36 () (tptp.v2_tdlat_3 @t2)) % 2.00/2.28 (define @t37 () (not @t36)) % 2.00/2.28 (define @t38 () (tptp.v1_tdlat_3 @t2)) % 2.00/2.28 (define @t39 () (not @t38)) % 2.00/2.28 (define @t40 () (tptp.v3_realset2 @t2)) % 2.00/2.28 (define @t41 () (not @t40)) % 2.00/2.28 (define @t42 () (tptp.v2_t_0topsp @t2)) % 2.00/2.28 (define @t43 () (tptp.v1_borsuk_1 @t4 @t2)) % 2.00/2.28 (define @t44 () (tptp.v2_pre_topc @t4)) % 2.00/2.28 (define @t45 () (tptp.v2_tex_2 @t4 @t2)) % 2.00/2.28 (define @t46 () (and @t45 @t14)) % 2.00/2.28 (define @t47 () (tptp.m1_pre_topc @t4 @t2)) % 2.00/2.28 (define @t48 () (tptp.v1_xreal_0 @t4)) % 2.00/2.28 (define @t49 () (tptp.v2_membered @t2)) % 2.00/2.28 (define @t50 () (tptp.v2_t_0topsp @t4)) % 2.00/2.28 (define @t51 () (and @t16 @t50)) % 2.00/2.28 (define @t52 () (tptp.v1_rat_1 @t4)) % 2.00/2.28 (define @t53 () (tptp.v3_membered @t2)) % 2.00/2.28 (define @t54 () (not @t50)) % 2.00/2.28 (define @t55 () (not @t45)) % 2.00/2.28 (define @t56 () (not @t42)) % 2.00/2.28 (define @t57 () (and @t24 @t22 @t56 @t21)) % 2.00/2.28 (define @t58 () (tptp.v1_int_1 @t4)) % 2.00/2.28 (define @t59 () (tptp.v4_membered @t2)) % 2.00/2.28 (define @t60 () (tptp.v5_membered @t2)) % 2.00/2.28 (define @t61 () (tptp.v1_xboole_0 @t2)) % 2.00/2.28 (define @t62 () (tptp.v1_membered @t4)) % 2.00/2.28 (define @t63 () (tptp.k1_zfmisc_1 @t2)) % 2.00/2.28 (define @t64 () (tptp.m1_subset_1 @t4 @t63)) % 2.00/2.28 (define @t65 () (tptp.v2_membered @t4)) % 2.00/2.28 (define @t66 () (tptp.v3_membered @t4)) % 2.00/2.28 (define @t67 () (tptp.v4_membered @t4)) % 2.00/2.28 (define @t68 () (and @t22 @t21)) % 2.00/2.28 (define @t69 () (tptp.v1_relat_1 @t1)) % 2.00/2.28 (define @t70 () (tptp.k2_zfmisc_1 @t2 @t4)) % 2.00/2.28 (define @t71 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t70))) % 2.00/2.28 (define @t72 () (@list @t2 @t4 @t1)) % 2.00/2.28 (define @t73 () (forall @t72 (=> @t71 @t69))) % 2.00/2.28 (define @t74 () (tptp.v4_pre_topc @t4 @t2)) % 2.00/2.28 (define @t75 () (tptp.v3_pre_topc @t4 @t2)) % 2.00/2.28 (define @t76 () (tptp.v1_xboole_0 @t4)) % 2.00/2.28 (define @t77 () (tptp.m1_subset_1 @t4 @t9)) % 2.00/2.28 (define @t78 () (and @t24 @t21)) % 2.00/2.28 (define @t79 () (tptp.v5_membered @t4)) % 2.00/2.28 (define @t80 () (tptp.v2_tops_1 @t4 @t2)) % 2.00/2.28 (define @t81 () (not @t14)) % 2.00/2.28 (define @t82 () (tptp.v3_tops_1 @t4 @t2)) % 2.00/2.28 (define @t83 () (tptp.v1_tex_3 @t4 @t2)) % 2.00/2.28 (define @t84 () (and @t44 @t81)) % 2.00/2.28 (define @t85 () (and @t44 @t55)) % 2.00/2.28 (define @t86 () (tptp.v1_tsep_1 @t4 @t2)) % 2.00/2.28 (define @t87 () (tptp.v5_tdlat_3 @t2)) % 2.00/2.28 (define @t88 () (tptp.v4_tdlat_3 @t2)) % 2.00/2.28 (define @t89 () (tptp.u1_struct_0 @t4)) % 2.00/2.28 (define @t90 () (tptp.k1_tsp_2 @t2 @t4)) % 2.00/2.28 (define @t91 () (and (tptp.v1_funct_1 @t90) (tptp.v1_funct_2 @t90 @t8 @t89) (tptp.v5_pre_topc @t90 @t2 @t4) (tptp.m2_relset_1 @t90 @t8 @t89))) % 2.00/2.28 (define @t92 () (and @t24 @t22 @t21 @t16 @t14 @t47)) % 2.00/2.28 (define @t93 () (forall @t31 (=> @t92 @t91))) % 2.00/2.28 (define @t94 () (tptp.k1_zfmisc_1 @t4)) % 2.00/2.28 (define @t95 () (@var "D" $$unsorted)) % 2.00/2.28 (define @t96 () (tptp.k2_funct_2 @t2 @t4 @t1 @t95)) % 2.00/2.28 (define @t97 () (tptp.m1_relset_1 @t1 @t2 @t4)) % 2.00/2.28 (define @t98 () (tptp.v1_funct_2 @t1 @t2 @t4)) % 2.00/2.28 (define @t99 () (tptp.v1_funct_1 @t1)) % 2.00/2.28 (define @t100 () (and @t99 @t98 @t97)) % 2.00/2.28 (define @t101 () (@list @t2 @t4 @t1 @t95)) % 2.00/2.28 (define @t102 () (tptp.k4_pre_topc @t2 @t4 @t1 @t95)) % 2.00/2.28 (define @t103 () (tptp.m1_relset_1 @t1 @t8 @t89)) % 2.00/2.28 (define @t104 () (tptp.v1_funct_2 @t1 @t8 @t89)) % 2.00/2.28 (define @t105 () (tptp.l1_struct_0 @t4)) % 2.00/2.28 (define @t106 () (tptp.l1_struct_0 @t2)) % 2.00/2.28 (define @t107 () (and @t106 @t105 @t99 @t104 @t103)) % 2.00/2.28 (define @t108 () (and (tptp.v1_funct_1 @t5) (tptp.v1_funct_2 @t5 @t8 @t89) (tptp.v5_pre_topc @t5 @t2 @t4) (tptp.m2_relset_1 @t5 @t8 @t89))) % 2.00/2.28 (define @t109 () (forall @t31 (=> @t92 @t108))) % 2.00/2.28 (define @t110 () (tptp.k5_pre_topc @t2 @t4 @t1 @t95)) % 2.00/2.28 (define @t111 () (forall @t27 (=> @t21 @t106))) % 2.00/2.28 (define @t112 () (tptp.l1_pre_topc @t4)) % 2.00/2.28 (define @t113 () (tptp.m2_relset_1 @t1 @t2 @t4)) % 2.00/2.28 (define @t114 () (forall @t72 (=> @t113 @t71))) % 2.00/2.28 (define @t115 () (forall @t19 (=> @t13 @t112))) % 2.00/2.28 (define @t116 () (=> @t21 @t115)) % 2.00/2.28 (define @t117 () (forall @t27 @t116)) % 2.00/2.28 (define @t118 () (not (tptp.v1_xboole_0 @t8))) % 2.00/2.28 (define @t119 () (and @t24 @t106)) % 2.00/2.28 (define @t120 () (forall @t27 (=> @t119 @t118))) % 2.00/2.28 (define @t121 () (not @t76)) % 2.00/2.28 (define @t122 () (not @t61)) % 2.00/2.28 (define @t123 () (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 2.00/2.28 (define @t124 () (tptp.k9_relat_1 @t1 @t95)) % 2.00/2.28 (define @t125 () (= @t96 @t124)) % 2.00/2.28 (define @t126 () (forall @t101 (=> @t100 @t125))) % 2.00/2.28 (define @t127 () (= @t102 @t124)) % 2.00/2.28 (define @t128 () (forall @t101 (=> @t107 @t127))) % 2.00/2.28 (define @t129 () (= @t5 @t90)) % 2.00/2.28 (define @t130 () (forall @t31 (=> @t92 @t129))) % 2.00/2.28 (define @t131 () (= @t110 (tptp.k10_relat_1 @t1 @t95))) % 2.00/2.28 (define @t132 () (forall @t101 (=> @t107 @t131))) % 2.00/2.28 (define @t133 () (forall @t72 (= @t113 @t97))) % 2.00/2.28 (define @t134 () (forall @t19 (= @t13 @t47))) % 2.00/2.28 (define @t135 () (forall @t27 (=> @t21 @t134))) % 2.00/2.28 (define @t136 () (tptp.k9_relat_1 @t4 (tptp.k10_relat_1 @t4 @t2))) % 2.00/2.28 (define @t137 () (tptp.r1_tarski @t2 (tptp.k2_relat_1 @t4))) % 2.00/2.28 (define @t138 () (=> @t137 (= @t136 @t2))) % 2.00/2.28 (define @t139 () (tptp.v1_funct_1 @t4)) % 2.00/2.28 (define @t140 () (tptp.v1_relat_1 @t4)) % 2.00/2.28 (define @t141 () (and @t140 @t139)) % 2.00/2.28 (define @t142 () (=> @t141 @t138)) % 2.00/2.28 (define @t143 () (forall @t31 @t142)) % 2.00/2.28 (define @t144 () (tptp.r1_tarski (tptp.k9_relat_1 @t1 @t2) (tptp.k9_relat_1 @t1 @t4))) % 2.00/2.28 (define @t145 () (tptp.r1_tarski @t2 @t4)) % 2.00/2.28 (define @t146 () (=> @t145 @t144)) % 2.00/2.28 (define @t147 () (forall @t72 (=> @t69 @t146))) % 2.00/2.28 (define @t148 () (tptp.m1_subset_1 @t2 @t4)) % 2.00/2.28 (define @t149 () (tptp.k5_pre_topc @t2 @t4 @t5 @t6)) % 2.00/2.28 (define @t150 () (=> @t10 (= @t149 @t3))) % 2.00/2.28 (define @t151 () (forall @t11 @t150)) % 2.00/2.28 (define @t152 () (=> @t17 @t151)) % 2.00/2.28 (define @t153 () (forall @t19 @t152)) % 2.00/2.28 (define @t154 () (=> @t25 @t153)) % 2.00/2.28 (define @t155 () (forall @t27 @t154)) % 2.00/2.28 (define @t156 () (tptp.m1_subset_1 @t2 @t94)) % 2.00/2.28 (define @t157 () (forall @t31 (= @t156 @t145))) % 2.00/2.28 (define @t158 () (= (tptp.k2_funct_2 @t2 @t4 @t1 @t2) (tptp.k2_relat_1 @t1))) % 2.00/2.28 (define @t159 () (= @t2 tptp.k1_xboole_0)) % 2.00/2.28 (define @t160 () (= @t4 tptp.k1_xboole_0)) % 2.00/2.28 (define @t161 () (=> @t160 @t159)) % 2.00/2.28 (define @t162 () (=> @t161 @t158)) % 2.00/2.28 (define @t163 () (and @t99 @t98 @t113)) % 2.00/2.28 (define @t164 () (forall @t72 (=> @t163 @t162))) % 2.00/2.28 (define @t165 () (tptp.m1_subset_1 @t4 (tptp.k1_zfmisc_1 @t1))) % 2.00/2.28 (define @t166 () (not @t47)) % 2.00/2.28 (define @t167 () (not @t21)) % 2.00/2.28 (define @t168 () (not @t22)) % 2.00/2.28 (define @t169 () (or @t23 @t168 @t167 @t15 @t81 @t166)) % 2.00/2.28 (define @t170 () (not @t16)) % 2.00/2.28 (define @t171 () (not @t24)) % 2.00/2.28 (define @t172 () (or @t171 @t168 @t167 @t170 @t81 @t166)) % 2.00/2.28 (define @t173 () (not @t92)) % 2.00/2.28 (define @t174 () (@var "BOUND_VARIABLE_8062" $$unsorted)) % 2.00/2.28 (define @t175 () (@var "BOUND_VARIABLE_8060" $$unsorted)) % 2.00/2.28 (define @t176 () (tptp.k4_tsp_2 @t2 @t175)) % 2.00/2.28 (define @t177 () (= (tptp.k4_pre_topc @t2 @t175 @t176 @t174) (tptp.k4_pre_topc @t2 @t175 @t176 (tptp.k3_tex_4 @t2 @t174)))) % 2.00/2.28 (define @t178 () (not (tptp.m1_subset_1 @t174 @t9))) % 2.00/2.28 (define @t179 () (not (tptp.m2_tsp_1 @t175 @t2))) % 2.00/2.28 (define @t180 () (not (tptp.v2_tsp_2 @t175 @t2))) % 2.00/2.28 (define @t181 () (tptp.v3_struct_0 @t175)) % 2.00/2.28 (define @t182 () (or @t23 @t168 @t167 @t181 @t180 @t179 @t178 @t177)) % 2.00/2.28 (define @t183 () (@list @t2 @t175 @t174)) % 2.00/2.28 (define @t184 () (forall @t183 @t182)) % 2.00/2.28 (define @t185 () (@quantifiers_skolemize @t184 1)) % 2.00/2.28 (define @t186 () (@quantifiers_skolemize @t184 0)) % 2.00/2.28 (define @t187 () (@list @t186 @t185)) % 2.00/2.28 (define @t188 () (@var "BOUND_VARIABLE_9160" $$unsorted)) % 2.00/2.28 (define @t189 () (= (tptp.m2_tsp_1 @t188 @t2) (tptp.m1_pre_topc @t188 @t2))) % 2.00/2.28 (define @t190 () (or @t167 @t189)) % 2.00/2.28 (define @t191 () (@list @t188)) % 2.00/2.28 (define @t192 () (forall @t191 @t190)) % 2.00/2.28 (define @t193 () (forall @t191 @t189)) % 2.00/2.28 (define @t194 () (@list @t4)) % 2.00/2.28 (define @t195 () (or @t167 @t193)) % 2.00/2.28 (define @t196 () (or @t181 @t180 @t179 @t178 @t177)) % 2.00/2.28 (define @t197 () (or @t23 @t168 @t167 @t196)) % 2.00/2.28 (define @t198 () (forall @t183 @t197)) % 2.00/2.28 (define @t199 () (@list @t175 @t174)) % 2.00/2.28 (define @t200 () (forall @t199 @t197)) % 2.00/2.28 (define @t201 () (forall @t199 @t196)) % 2.00/2.28 (define @t202 () (@var "BOUND_VARIABLE_8038" $$unsorted)) % 2.00/2.28 (define @t203 () (or @t23 @t168 @t167 @t201)) % 2.00/2.28 (define @t204 () (= (tptp.k4_pre_topc @t2 @t4 @t5 @t202) (tptp.k4_pre_topc @t2 @t4 @t5 (tptp.k3_tex_4 @t2 @t202)))) % 2.00/2.28 (define @t205 () (not (tptp.m1_subset_1 @t202 @t9))) % 2.00/2.28 (define @t206 () (not @t13)) % 2.00/2.28 (define @t207 () (or @t15 @t81 @t206 @t205 @t204)) % 2.00/2.28 (define @t208 () (@list @t4 @t202)) % 2.00/2.28 (define @t209 () (forall @t208 @t207)) % 2.00/2.28 (define @t210 () (or @t23 @t168 @t167 @t209)) % 2.00/2.28 (define @t211 () (or @t23 @t168 @t167)) % 2.00/2.28 (define @t212 () (or @t171 @t168 @t167)) % 2.00/2.28 (define @t213 () (not @t25)) % 2.00/2.28 (define @t214 () (or @t205 @t204)) % 2.00/2.28 (define @t215 () (or @t15 @t81 @t206 @t214)) % 2.00/2.28 (define @t216 () (forall @t208 @t215)) % 2.00/2.28 (define @t217 () (@list @t202)) % 2.00/2.28 (define @t218 () (forall @t217 @t215)) % 2.00/2.28 (define @t219 () (forall @t217 @t214)) % 2.00/2.28 (define @t220 () (@list @t1)) % 2.00/2.28 (define @t221 () (or @t15 @t81 @t206 @t219)) % 2.00/2.28 (define @t222 () (not @t10)) % 2.00/2.28 (define @t223 () (forall @t11 (or @t222 @t7))) % 2.00/2.28 (define @t224 () (or @t15 @t81 @t206 @t223)) % 2.00/2.28 (define @t225 () (or @t15 @t81 @t206)) % 2.00/2.28 (define @t226 () (or @t170 @t81 @t206)) % 2.00/2.28 (define @t227 () (not @t17)) % 2.00/2.28 (define @t228 () (tptp.l1_pre_topc @t186)) % 2.00/2.28 (define @t229 () (@quantifiers_skolemize @t184 2)) % 2.00/2.28 (define @t230 () (tptp.k3_tex_4 @t186 @t229)) % 2.00/2.28 (define @t231 () (tptp.k4_tsp_2 @t186 @t185)) % 2.00/2.28 (define @t232 () (tptp.k4_pre_topc @t186 @t185 @t231 @t230)) % 2.00/2.28 (define @t233 () (tptp.k4_pre_topc @t186 @t185 @t231 @t229)) % 2.00/2.28 (define @t234 () (= @t233 @t232)) % 2.00/2.28 (define @t235 () (tptp.u1_struct_0 @t186)) % 2.00/2.28 (define @t236 () (tptp.m1_subset_1 @t229 (tptp.k1_zfmisc_1 @t235))) % 2.00/2.28 (define @t237 () (not @t236)) % 2.00/2.28 (define @t238 () (tptp.m2_tsp_1 @t185 @t186)) % 2.00/2.28 (define @t239 () (not @t238)) % 2.00/2.28 (define @t240 () (tptp.v2_tsp_2 @t185 @t186)) % 2.00/2.28 (define @t241 () (not @t240)) % 2.00/2.28 (define @t242 () (tptp.v3_struct_0 @t185)) % 2.00/2.28 (define @t243 () (not @t228)) % 2.00/2.28 (define @t244 () (tptp.v2_pre_topc @t186)) % 2.00/2.28 (define @t245 () (not @t244)) % 2.00/2.28 (define @t246 () (tptp.v3_struct_0 @t186)) % 2.00/2.28 (define @t247 () (or @t246 @t245 @t243 @t242 @t241 @t239 @t237 @t234)) % 2.00/2.28 (define @t248 () (@list true)) % 2.00/2.28 (define @t249 () (@list @t247)) % 2.00/2.28 (define @t250 () (tptp.m1_pre_topc @t185 @t186)) % 2.00/2.28 (define @t251 () (= @t238 @t250)) % 2.00/2.28 (define @t252 () (or @t243 @t251)) % 2.00/2.28 (define @t253 () (@list false false)) % 2.00/2.28 (define @t254 () (tptp.k1_tsp_2 @t186 @t185)) % 2.00/2.28 (define @t255 () (= @t231 @t254)) % 2.00/2.28 (define @t256 () (not @t250)) % 2.00/2.28 (define @t257 () (or @t246 @t245 @t243 @t242 @t241 @t256 @t255)) % 2.00/2.28 (define @t258 () (@list true false false true false false false)) % 2.00/2.28 (define @t259 () (not @t103)) % 2.00/2.28 (define @t260 () (not @t104)) % 2.00/2.28 (define @t261 () (not @t99)) % 2.00/2.28 (define @t262 () (not @t105)) % 2.00/2.28 (define @t263 () (not @t106)) % 2.00/2.28 (define @t264 () (or @t263 @t262 @t261 @t260 @t259)) % 2.00/2.28 (define @t265 () (not @t107)) % 2.00/2.28 (define @t266 () (tptp.u1_struct_0 @t185)) % 2.00/2.28 (define @t267 () (tptp.m2_relset_1 @t231 @t235 @t266)) % 2.00/2.28 (define @t268 () (tptp.v1_funct_2 @t231 @t235 @t266)) % 2.00/2.28 (define @t269 () (tptp.v1_funct_1 @t231)) % 2.00/2.28 (define @t270 () (and @t269 @t268 (tptp.v5_pre_topc @t231 @t186 @t185) @t267)) % 2.00/2.28 (define @t271 () (or @t246 @t245 @t243 @t242 @t241 @t256 @t270)) % 2.00/2.28 (define @t272 () (not @t270)) % 2.00/2.28 (define @t273 () (@list false)) % 2.00/2.28 (define @t274 () (@list @t270)) % 2.00/2.28 (define @t275 () (tptp.m1_relset_1 @t231 @t235 @t266)) % 2.00/2.28 (define @t276 () (= @t275 @t267)) % 2.00/2.28 (define @t277 () (@list @t185)) % 2.00/2.28 (define @t278 () (@var "BOUND_VARIABLE_8963" $$unsorted)) % 2.00/2.28 (define @t279 () (tptp.l1_pre_topc @t278)) % 2.00/2.28 (define @t280 () (not (tptp.m2_tsp_1 @t278 @t2))) % 2.00/2.28 (define @t281 () (or @t280 @t279)) % 2.00/2.28 (define @t282 () (or @t167 @t281)) % 2.00/2.28 (define @t283 () (forall (@list @t2 @t278) @t282)) % 2.00/2.28 (define @t284 () (@list @t278)) % 2.00/2.28 (define @t285 () (forall @t284 @t282)) % 2.00/2.28 (define @t286 () (forall @t284 @t281)) % 2.00/2.28 (define @t287 () (or @t167 @t286)) % 2.00/2.28 (define @t288 () (forall @t19 (or @t206 @t112))) % 2.00/2.28 (define @t289 () (tptp.l1_pre_topc @t185)) % 2.00/2.28 (define @t290 () (or @t243 @t239 @t289)) % 2.00/2.28 (define @t291 () (@list false false false)) % 2.00/2.28 (define @t292 () (tptp.l1_struct_0 @t185)) % 2.00/2.28 (define @t293 () (not @t289)) % 2.00/2.28 (define @t294 () (or @t293 @t292)) % 2.00/2.28 (define @t295 () (tptp.l1_struct_0 @t186)) % 2.00/2.28 (define @t296 () (or @t243 @t295)) % 2.00/2.28 (define @t297 () (tptp.k9_relat_1 @t231 @t229)) % 2.00/2.28 (define @t298 () (= @t233 @t297)) % 2.00/2.28 (define @t299 () (not @t275)) % 2.00/2.28 (define @t300 () (not @t268)) % 2.00/2.28 (define @t301 () (not @t269)) % 2.00/2.28 (define @t302 () (not @t292)) % 2.00/2.28 (define @t303 () (not @t295)) % 2.00/2.28 (define @t304 () (or @t303 @t302 @t301 @t300 @t299 @t298)) % 2.00/2.28 (define @t305 () (@list false false false false false false)) % 2.00/2.28 (define @t306 () (and @t160 (not @t159))) % 2.00/2.28 (define @t307 () (not @t113)) % 2.00/2.28 (define @t308 () (not @t98)) % 2.00/2.28 (define @t309 () (or @t261 @t308 @t307 @t306 @t158)) % 2.00/2.28 (define @t310 () (or @t261 @t308 @t307)) % 2.00/2.28 (define @t311 () (tptp.k2_funct_2 @t235 @t266 @t254 @t235)) % 2.00/2.28 (define @t312 () (= @t311 (tptp.k2_relat_1 @t254))) % 2.00/2.28 (define @t313 () (not (= @t235 tptp.k1_xboole_0))) % 2.00/2.28 (define @t314 () (and (= @t266 tptp.k1_xboole_0) @t313)) % 2.00/2.28 (define @t315 () (tptp.m2_relset_1 @t254 @t235 @t266)) % 2.00/2.28 (define @t316 () (not @t315)) % 2.00/2.28 (define @t317 () (tptp.v1_funct_2 @t254 @t235 @t266)) % 2.00/2.28 (define @t318 () (not @t317)) % 2.00/2.28 (define @t319 () (tptp.v1_funct_1 @t254)) % 2.00/2.28 (define @t320 () (not @t319)) % 2.00/2.28 (define @t321 () (or @t320 @t318 @t316 @t314 @t312)) % 2.00/2.28 (define @t322 () (forall @t72 @t309)) % 2.00/2.28 (define @t323 () (@list @t235 @t266 @t254)) % 2.00/2.28 (define @t324 () (= tptp.k1_xboole_0 @t266)) % 2.00/2.28 (define @t325 () (and @t324 (not (= tptp.k1_xboole_0 @t235)))) % 2.00/2.28 (define @t326 () (or @t320 @t318 @t316 @t325 @t312)) % 2.00/2.28 (define @t327 () (tptp.v1_xboole_0 @t266)) % 2.00/2.28 (define @t328 () (not @t327)) % 2.00/2.28 (define @t329 () (or @t242 @t302 @t328)) % 2.00/2.28 (define @t330 () (not @t324)) % 2.00/2.28 (define @t331 () (not @t123)) % 2.00/2.28 (define @t332 () (= false true)) % 2.00/2.28 (define @t333 () (and @t123 @t324 @t328)) % 2.00/2.28 (define @t334 () (not @t325)) % 2.00/2.28 (define @t335 () (and @t319 @t317 (tptp.v5_pre_topc @t254 @t186 @t185) @t315)) % 2.00/2.28 (define @t336 () (or @t246 @t245 @t243 @t242 @t241 @t256 @t335)) % 2.00/2.28 (define @t337 () (not @t335)) % 2.00/2.28 (define @t338 () (@list @t335)) % 2.00/2.28 (define @t339 () (not @t97)) % 2.00/2.28 (define @t340 () (or @t261 @t308 @t339)) % 2.00/2.28 (define @t341 () (tptp.m1_relset_1 @t254 @t235 @t266)) % 2.00/2.28 (define @t342 () (forall @t72 (= @t97 @t113))) % 2.00/2.28 (define @t343 () (= @t341 @t315)) % 2.00/2.28 (define @t344 () (= @t315 @t341)) % 2.00/2.28 (define @t345 () (tptp.k9_relat_1 @t254 @t235)) % 2.00/2.28 (define @t346 () (= @t311 @t345)) % 2.00/2.28 (define @t347 () (not @t341)) % 2.00/2.28 (define @t348 () (or @t320 @t318 @t347 @t346)) % 2.00/2.28 (define @t349 () (= @t2 @t136)) % 2.00/2.28 (define @t350 () (not @t137)) % 2.00/2.28 (define @t351 () (not @t139)) % 2.00/2.28 (define @t352 () (not @t140)) % 2.00/2.28 (define @t353 () (=> @t137 @t349)) % 2.00/2.28 (define @t354 () (= @t232 (tptp.k9_relat_1 @t231 @t230))) % 2.00/2.28 (define @t355 () (or @t303 @t302 @t301 @t300 @t299 @t354)) % 2.00/2.28 (define @t356 () (@var "BOUND_VARIABLE_9222" $$unsorted)) % 2.00/2.28 (define @t357 () (@var "BOUND_VARIABLE_9220" $$unsorted)) % 2.00/2.28 (define @t358 () (tptp.k4_tsp_2 @t2 @t357)) % 2.00/2.28 (define @t359 () (= (tptp.k3_tex_4 @t2 @t356) (tptp.k5_pre_topc @t2 @t357 @t358 (tptp.k4_pre_topc @t2 @t357 @t358 @t356)))) % 2.00/2.28 (define @t360 () (not (tptp.m1_subset_1 @t356 @t9))) % 2.00/2.28 (define @t361 () (not (tptp.m2_tsp_1 @t357 @t2))) % 2.00/2.28 (define @t362 () (not (tptp.v2_tsp_2 @t357 @t2))) % 2.00/2.28 (define @t363 () (tptp.v3_struct_0 @t357)) % 2.00/2.28 (define @t364 () (or @t363 @t362 @t361 @t360 @t359)) % 2.00/2.28 (define @t365 () (or @t23 @t168 @t167 @t364)) % 2.00/2.28 (define @t366 () (forall (@list @t2 @t357 @t356) @t365)) % 2.00/2.28 (define @t367 () (@list @t357 @t356)) % 2.00/2.28 (define @t368 () (forall @t367 @t365)) % 2.00/2.28 (define @t369 () (forall @t367 @t364)) % 2.00/2.28 (define @t370 () (@var "BOUND_VARIABLE_9202" $$unsorted)) % 2.00/2.28 (define @t371 () (or @t23 @t168 @t167 @t369)) % 2.00/2.28 (define @t372 () (= (tptp.k3_tex_4 @t2 @t370) (tptp.k5_pre_topc @t2 @t4 @t5 (tptp.k4_pre_topc @t2 @t4 @t5 @t370)))) % 2.00/2.28 (define @t373 () (not (tptp.m1_subset_1 @t370 @t9))) % 2.00/2.28 (define @t374 () (or @t15 @t81 @t206 @t373 @t372)) % 2.00/2.28 (define @t375 () (@list @t4 @t370)) % 2.00/2.28 (define @t376 () (forall @t375 @t374)) % 2.00/2.28 (define @t377 () (or @t23 @t168 @t167 @t376)) % 2.00/2.28 (define @t378 () (or @t373 @t372)) % 2.00/2.28 (define @t379 () (or @t15 @t81 @t206 @t378)) % 2.00/2.28 (define @t380 () (forall @t375 @t379)) % 2.00/2.28 (define @t381 () (@list @t370)) % 2.00/2.28 (define @t382 () (forall @t381 @t379)) % 2.00/2.28 (define @t383 () (forall @t381 @t378)) % 2.00/2.28 (define @t384 () (or @t15 @t81 @t206 @t383)) % 2.00/2.28 (define @t385 () (= @t3 @t149)) % 2.00/2.28 (define @t386 () (forall @t11 (or @t222 @t385))) % 2.00/2.28 (define @t387 () (or @t15 @t81 @t206 @t386)) % 2.00/2.28 (define @t388 () (tptp.k5_pre_topc @t186 @t185 @t231 @t233)) % 2.00/2.28 (define @t389 () (= @t230 @t388)) % 2.00/2.28 (define @t390 () (or @t246 @t245 @t243 @t242 @t241 @t239 @t237 @t389)) % 2.00/2.28 (define @t391 () (tptp.k10_relat_1 @t231 @t233)) % 2.00/2.28 (define @t392 () (= @t388 @t391)) % 2.00/2.28 (define @t393 () (or @t303 @t302 @t301 @t300 @t299 @t392)) % 2.00/2.28 (define @t394 () (tptp.k9_relat_1 @t231 @t391)) % 2.00/2.28 (define @t395 () (= @t233 @t394)) % 2.00/2.28 (define @t396 () (tptp.m1_subset_1 @t254 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t235 @t266)))) % 2.00/2.28 (define @t397 () (or @t316 @t396)) % 2.00/2.28 (define @t398 () (tptp.v1_relat_1 @t254)) % 2.00/2.28 (define @t399 () (not @t396)) % 2.00/2.28 (define @t400 () (or @t399 @t398)) % 2.00/2.28 (define @t401 () (tptp.v1_relat_1 @t231)) % 2.00/2.28 (define @t402 () (tptp.k2_relat_1 @t231)) % 2.00/2.28 (define @t403 () (tptp.r1_tarski @t233 @t402)) % 2.00/2.28 (define @t404 () (not @t403)) % 2.00/2.28 (define @t405 () (not @t401)) % 2.00/2.28 (define @t406 () (or @t405 @t301 @t404 @t395)) % 2.00/2.28 (define @t407 () (not @t145)) % 2.00/2.28 (define @t408 () (not @t69)) % 2.00/2.28 (define @t409 () (tptp.r1_tarski @t229 @t235)) % 2.00/2.28 (define @t410 () (forall @t31 (= @t145 @t156))) % 2.00/2.28 (define @t411 () (= @t409 @t236)) % 2.00/2.28 (define @t412 () (= @t236 @t409)) % 2.00/2.28 (define @t413 () (tptp.r1_tarski @t297 (tptp.k9_relat_1 @t231 @t235))) % 2.00/2.28 (define @t414 () (not @t409)) % 2.00/2.28 (define @t415 () (or @t405 @t414 @t413)) % 2.00/2.28 (define @t416 () (not @t413)) % 2.00/2.28 (define @t417 () (not @t346)) % 2.00/2.28 (define @t418 () (not @t312)) % 2.00/2.28 (define @t419 () (not @t255)) % 2.00/2.28 (define @t420 () (not @t298)) % 2.00/2.28 (define @t421 () (and @t413 @t298 @t255 @t346 @t312 @t404)) % 2.00/2.28 (assume @p1 @t29) % 2.00/2.28 (assume @p2 (forall @t31 (=> @t30 (not (tptp.r2_hidden @t4 @t2))))) % 2.00/2.28 (assume @p3 (forall @t27 (=> @t34 (forall @t19 (=> @t33 @t32))))) % 2.00/2.28 (assume @p4 (forall @t27 (=> @t21 (=> (and @t24 @t22 @t39 @t42) (and @t24 @t41 @t22 @t39 @t37 (not @t35)))))) % 2.00/2.28 (assume @p5 (forall @t27 (=> @t25 (forall @t19 (=> @t47 (=> @t46 (and @t44 (not @t43)))))))) % 2.00/2.28 (assume @p6 (forall @t27 (=> @t49 (forall @t19 (=> @t33 (and @t32 @t48)))))) % 2.00/2.28 (assume @p7 (forall @t27 (=> (and @t24 @t22 @t42 @t21) (forall @t19 (=> @t47 (=> @t16 @t51)))))) % 2.00/2.28 (assume @p8 (forall @t27 (=> @t53 (forall @t19 (=> @t33 (and @t32 @t48 @t52)))))) % 2.00/2.28 (assume @p9 (forall @t27 (=> @t57 (forall @t19 (=> @t47 (=> (and @t16 @t55) (and @t16 (not (tptp.v3_realset2 @t4)) @t54))))))) % 2.00/2.28 (assume @p10 (forall @t27 (=> @t59 (forall @t19 (=> @t33 (and @t32 @t48 @t58 @t52)))))) % 2.00/2.28 (assume @p11 (forall @t27 (=> @t57 (forall @t19 (=> @t47 (=> @t51 (and @t16 @t45))))))) % 2.00/2.28 (assume @p12 (forall @t27 (=> @t60 (forall @t19 (=> @t33 (and @t32 (tptp.v4_ordinal2 @t4) @t48 @t58 @t52)))))) % 2.00/2.28 (assume @p13 (forall @t27 (=> @t61 (and @t34 @t49 @t53 @t59 @t60)))) % 2.00/2.28 (assume @p14 (forall @t27 (=> @t34 (forall @t19 (=> @t64 @t62))))) % 2.00/2.28 (assume @p15 (forall @t27 (=> @t49 (forall @t19 (=> @t64 (and @t62 @t65)))))) % 2.00/2.28 (assume @p16 (forall @t27 (=> @t53 (forall @t19 (=> @t64 (and @t62 @t65 @t66)))))) % 2.00/2.28 (assume @p17 (forall @t27 (=> @t59 (forall @t19 (=> @t64 (and @t62 @t65 @t66 @t67)))))) % 2.00/2.28 (assume @p18 (forall @t27 (=> @t60 @t59))) % 2.00/2.28 (assume @p19 (forall @t27 (=> @t68 (forall @t19 (=> @t47 @t44))))) % 2.00/2.28 (assume @p20 @t73) % 2.00/2.28 (assume @p21 (forall @t27 (=> @t68 (forall @t19 (=> @t77 (=> @t76 (and @t75 @t74))))))) % 2.00/2.28 (assume @p22 (forall @t27 (=> @t21 (=> (and @t24 @t40) (and @t24 @t42))))) % 2.00/2.28 (assume @p23 (forall @t27 (=> @t78 (forall @t19 (=> @t47 (=> (and @t16 @t14) @t51)))))) % 2.00/2.28 (assume @p24 (forall @t27 (=> @t60 (forall @t19 (=> @t64 (and @t62 @t65 @t66 @t67 @t79)))))) % 2.00/2.28 (assume @p25 (forall @t27 (=> @t59 @t53))) % 2.00/2.28 (assume @p26 (forall @t27 (=> @t21 (forall @t19 (=> @t77 (=> @t76 @t80)))))) % 2.00/2.28 (assume @p27 (forall @t27 (=> @t21 (=> (and @t24 @t56) (and @t24 @t41))))) % 2.00/2.28 (assume @p28 (forall @t27 (=> @t78 (forall @t19 (=> @t47 (=> (and @t16 @t54) (and @t16 @t81))))))) % 2.00/2.28 (assume @p29 (forall @t27 (=> @t53 @t49))) % 2.00/2.28 (assume @p30 (forall @t27 (=> @t68 (forall @t19 (=> @t77 (=> @t76 @t82)))))) % 2.00/2.28 (assume @p31 (forall @t27 (=> @t21 (=> (and @t24 @t22 @t38) (and @t24 @t22 @t42))))) % 2.00/2.28 (assume @p32 (forall @t27 (=> @t25 (forall @t19 (=> @t47 (=> @t14 (and @t44 @t83))))))) % 2.00/2.28 (assume @p33 (forall @t27 (=> @t49 @t34))) % 2.00/2.28 (assume @p34 (forall @t27 (=> @t68 (forall @t19 (=> @t77 (=> @t82 @t80)))))) % 2.00/2.28 (assume @p35 (forall @t27 (=> @t21 (=> (and @t24 @t22 @t56) (and @t24 @t41 @t22 @t39))))) % 2.00/2.28 (assume @p36 (forall @t27 (=> @t25 (forall @t19 (=> @t47 (=> (not @t83) @t84)))))) % 2.00/2.28 (assume @p37 (forall @t27 (=> @t68 (forall @t19 (=> @t77 (=> (and @t74 @t80) (and @t80 @t82))))))) % 2.00/2.28 (assume @p38 (forall @t27 (=> @t21 (=> (and @t24 @t41 @t22 @t36) (and @t24 @t41 @t22 @t56))))) % 2.00/2.28 (assume @p39 (forall @t27 (=> @t25 (forall @t19 (=> @t47 (=> (and @t86 @t14) @t85)))))) % 2.00/2.28 (assume @p40 (forall @t27 (=> @t68 (forall @t19 (=> @t77 (=> (and @t75 @t82) (and @t76 @t75 @t74 @t62 @t65 @t66 @t67 @t79 @t80 @t82))))))) % 2.00/2.28 (assume @p41 (forall @t27 (=> @t21 (=> (and @t24 @t22 @t36 @t42) (and @t24 @t40 @t22 @t38 @t36 @t35 @t88 @t87 @t42))))) % 2.00/2.28 (assume @p42 (forall @t27 (=> @t25 (forall @t19 (=> @t47 (=> (and @t86 @t45) @t84)))))) % 2.00/2.28 (assume @p43 (forall @t27 (=> @t21 (=> (and @t24 @t41 @t22 @t42) (and @t24 @t41 @t22 @t37))))) % 2.00/2.28 (assume @p44 (forall @t27 (=> @t25 (forall @t19 (=> @t47 (=> @t46 (and @t44 (not @t86)))))))) % 2.00/2.28 (assume @p45 (forall @t27 (=> @t21 (=> (and @t24 @t22 @t35 @t42) (and @t24 @t22 @t38 @t35 @t88 @t87 @t42))))) % 2.00/2.28 (assume @p46 (forall @t27 (=> @t25 (forall @t19 (=> @t47 (=> (and @t43 @t14) @t85)))))) % 2.00/2.28 (assume @p47 (forall @t27 (=> @t21 (=> (and @t24 @t22 @t39 @t35) (and @t24 @t41 @t22 @t39 @t56))))) % 2.00/2.28 (assume @p48 (forall @t27 (=> @t25 (forall @t19 (=> @t47 (=> (and @t45 @t43) @t84)))))) % 2.00/2.28 (assume @p49 true) % 2.00/2.28 (assume @p50 @t93) % 2.00/2.28 (assume @p51 (forall @t101 (=> @t100 (tptp.m1_subset_1 @t96 @t94)))) % 2.00/2.28 (assume @p52 (forall @t31 (=> (and @t24 @t21 @t77) (tptp.m1_subset_1 (tptp.k3_tex_4 @t2 @t4) @t9)))) % 2.00/2.28 (assume @p53 (forall @t101 (=> @t107 (tptp.m1_subset_1 @t102 (tptp.k1_zfmisc_1 @t89))))) % 2.00/2.28 (assume @p54 @t109) % 2.00/2.28 (assume @p55 (forall @t101 (=> @t107 (tptp.m1_subset_1 @t110 @t9)))) % 2.00/2.28 (assume @p56 @t111) % 2.00/2.28 (assume @p57 (forall @t27 (=> @t21 (forall @t19 (=> @t47 @t112))))) % 2.00/2.28 (assume @p58 @t114) % 2.00/2.28 (assume @p59 @t117) % 2.00/2.28 (assume @p60 (exists @t27 @t21)) % 2.00/2.28 (assume @p61 (exists @t27 @t106)) % 2.00/2.28 (assume @p62 (forall @t27 (=> @t21 (exists @t19 @t47)))) % 2.00/2.28 (assume @p63 (forall @t31 (exists @t11 @t97))) % 2.00/2.28 (assume @p64 (forall @t27 (exists @t19 @t33))) % 2.00/2.28 (assume @p65 (forall @t31 (exists @t11 @t113))) % 2.00/2.28 (assume @p66 (forall @t27 (=> @t21 (exists @t19 @t13)))) % 2.00/2.28 (assume @p67 @t120) % 2.00/2.28 (assume @p68 (forall @t27 (not (tptp.v1_xboole_0 @t63)))) % 2.00/2.28 (assume @p69 (forall @t31 (=> (and @t122 @t121) (not (tptp.v1_xboole_0 @t70))))) % 2.00/2.28 (assume @p70 (and @t123 (tptp.v1_membered tptp.k1_xboole_0) (tptp.v2_membered tptp.k1_xboole_0) (tptp.v3_membered tptp.k1_xboole_0) (tptp.v4_membered tptp.k1_xboole_0) (tptp.v5_membered tptp.k1_xboole_0))) % 2.00/2.28 (assume @p71 (exists @t27 (and @t122 @t34 @t49 @t53 @t59 @t60))) % 2.00/2.28 (assume @p72 (forall @t27 (=> @t122 (exists @t19 (and @t64 @t121))))) % 2.00/2.28 (assume @p73 (forall @t27 (=> @t68 (exists @t19 (and @t77 @t75))))) % 2.00/2.28 (assume @p74 (forall @t27 (exists @t19 (and @t64 @t76)))) % 2.00/2.28 (assume @p75 (forall @t27 (=> @t68 (exists @t19 (and @t77 @t75 @t74))))) % 2.00/2.28 (assume @p76 (exists @t27 (and @t106 @t24))) % 2.00/2.28 (assume @p77 (forall @t27 (=> @t25 (exists @t19 (and @t77 @t121 @t75 @t74))))) % 2.00/2.28 (assume @p78 (forall @t27 (=> @t21 (exists @t19 (and @t77 @t76 @t62 @t65 @t66 @t67 @t79 @t80))))) % 2.00/2.28 (assume @p79 (forall @t27 (=> @t119 (exists @t19 (and @t77 @t121))))) % 2.00/2.28 (assume @p80 (forall @t27 (=> @t68 (exists @t19 (and @t77 @t76 @t75 @t74 @t62 @t65 @t66 @t67 @t79 @t80 @t82))))) % 2.00/2.28 (assume @p81 (forall @t27 (=> @t68 (exists @t19 (and @t77 @t74))))) % 2.00/2.28 (assume @p82 (forall @t27 (=> @t25 (exists @t19 (and @t77 @t121 @t74))))) % 2.00/2.28 (assume @p83 @t126) % 2.00/2.28 (assume @p84 @t128) % 2.00/2.28 (assume @p85 @t130) % 2.00/2.28 (assume @p86 @t132) % 2.00/2.28 (assume @p87 @t133) % 2.00/2.28 (assume @p88 @t135) % 2.00/2.28 (assume @p89 (forall @t31 (tptp.r1_tarski @t2 @t2))) % 2.00/2.28 (assume @p90 @t143) % 2.00/2.28 (assume @p91 @t147) % 2.00/2.28 (assume @p92 (forall @t31 (=> @t30 @t148))) % 2.00/2.28 (assume @p93 @t155) % 2.00/2.28 (assume @p94 (forall @t31 (=> @t148 (or @t76 @t30)))) % 2.00/2.28 (assume @p95 @t157) % 2.00/2.28 (assume @p96 @t164) % 2.00/2.28 (assume @p97 (forall @t72 (=> (and @t30 @t165) (tptp.m1_subset_1 @t2 @t1)))) % 2.00/2.28 (assume @p98 (forall @t72 (not (and @t30 @t165 (tptp.v1_xboole_0 @t1))))) % 2.00/2.28 (assume @p99 (forall @t27 (=> @t61 @t159))) % 2.00/2.28 (assume @p100 (forall @t31 (not (and @t30 @t76)))) % 2.00/2.28 (assume @p101 (forall @t31 (not (and @t61 (not (= @t2 @t4)) @t76)))) % 2.00/2.28 (step @p102 :rule aci_norm :args ((= (or @t169 @t129) (or @t23 @t168 @t167 @t15 @t81 @t166 @t129)))) % 2.00/2.28 (step @p103 :rule refl :args (@t129)) % 2.00/2.28 (step @p104 :rule refl :args (@t166)) % 2.00/2.28 (step @p105 :rule refl :args (@t81)) % 2.00/2.28 (step @p106 :rule bool-double-not-elim :args (@t15)) % 2.00/2.28 (step @p107 :rule refl :args (@t167)) % 2.00/2.28 (step @p108 :rule refl :args (@t168)) % 2.00/2.28 (step @p109 :rule bool-double-not-elim :args (@t23)) % 2.00/2.28 (step @p110 :rule nary_cong :premises (@p109 @p108 @p107 @p106 @p105 @p104) :args (@t172)) % 2.00/2.28 (step @p111 :rule aci_norm :args ((= (or @t171 (or @t168 (or @t167 (or @t170 (or @t81 @t166))))) @t172))) % 2.00/2.28 (step @p112 :rule trans :premises (@p111 @p110)) % 2.00/2.28 (step @p113 :rule bool-and-de-morgan :args (@t14 @t47 true)) % 2.00/2.28 (step @p114 :rule refl :args (@t170)) % 2.00/2.28 (step @p115 :rule nary_cong :premises (@p114 @p113) :args ((or @t170 (not (and @t14 @t47))))) % 2.00/2.28 (step @p116 :rule bool-and-de-morgan :args (@t16 @t14 (and @t47))) % 2.00/2.28 (step @p117 :rule trans :premises (@p116 @p115)) % 2.00/2.28 (step @p118 :rule nary_cong :premises (@p107 @p117) :args ((or @t167 (not (and @t16 @t14 @t47))))) % 2.00/2.28 (step @p119 :rule bool-and-de-morgan :args (@t21 @t16 (and @t14 @t47))) % 2.00/2.28 (step @p120 :rule trans :premises (@p119 @p118)) % 2.00/2.28 (step @p121 :rule nary_cong :premises (@p108 @p120) :args ((or @t168 (not (and @t21 @t16 @t14 @t47))))) % 2.00/2.28 (step @p122 :rule bool-and-de-morgan :args (@t22 @t21 (and @t16 @t14 @t47))) % 2.00/2.28 (step @p123 :rule trans :premises (@p122 @p121)) % 2.00/2.28 (step @p124 :rule refl :args (@t171)) % 2.00/2.28 (step @p125 :rule nary_cong :premises (@p124 @p123) :args ((or @t171 (not (and @t22 @t21 @t16 @t14 @t47))))) % 2.00/2.28 (step @p126 :rule bool-and-de-morgan :args (@t24 @t22 (and @t21 @t16 @t14 @t47))) % 2.00/2.28 (step @p127 :rule trans :premises (@p126 @p125)) % 2.00/2.28 (step @p128 :rule trans :premises (@p127 @p112)) % 2.00/2.28 (step @p129 :rule nary_cong :premises (@p128 @p103) :args ((or @t173 @t129))) % 2.00/2.28 (step @p130 :rule trans :premises (@p129 @p102)) % 2.00/2.28 (step @p131 :rule bool-impl-elim :args (@t92 @t129)) % 2.00/2.28 (step @p132 :rule trans :premises (@p131 @p130)) % 2.00/2.28 (step @p133 :rule cong :premises (@p132) :args (@t130)) % 2.00/2.28 (step @p134 :rule eq_resolve :premises (@p85 @p133)) % 2.00/2.28 (step @p135 :rule instantiate :premises (@p134) :args (@t187)) % 2.00/2.28 (step @p136 :rule quant-merge-prenex :args ((= (forall @t27 @t192) (forall (@list @t2 @t188) @t190)))) % 2.00/2.28 (step @p137 :rule alpha_equiv :args (@t193 (@list @t188) @t194)) % 2.00/2.28 (step @p138 :rule nary_cong :premises (@p107 @p137) :args (@t195)) % 2.00/2.28 (step @p139 :rule quant-miniscope-or :args ((= @t192 @t195))) % 2.00/2.28 (step @p140 :rule trans :premises (@p139 @p138)) % 2.00/2.28 (step @p141 :rule symm :premises (@p140)) % 2.00/2.28 (step @p142 :rule cong :premises (@p141) :args ((forall @t27 (or @t167 @t134)))) % 2.00/2.28 (step @p143 :rule trans :premises (@p142 @p136)) % 2.00/2.28 (step @p144 :rule bool-impl-elim :args (@t21 @t134)) % 2.00/2.28 (step @p145 :rule cong :premises (@p144) :args (@t135)) % 2.00/2.28 (step @p146 :rule trans :premises (@p145 @p143)) % 2.00/2.28 (step @p147 :rule eq_resolve :premises (@p88 @p146)) % 2.00/2.28 (step @p148 :rule instantiate :premises (@p147) :args (@t187)) % 2.00/2.28 (step @p149 :rule aci_norm :args ((= @t197 @t182))) % 2.00/2.28 (step @p150 :rule cong :premises (@p149) :args (@t198)) % 2.00/2.28 (step @p151 :rule quant-merge-prenex :args ((= (forall @t27 @t200) @t198))) % 2.00/2.28 (step @p152 :rule alpha_equiv :args (@t201 (@list @t175 @t174) (@list @t4 @t202))) % 2.00/2.28 (step @p153 :rule refl :args (@t23)) % 2.00/2.28 (step @p154 :rule nary_cong :premises (@p153 @p108 @p107 @p152) :args (@t203)) % 2.00/2.28 (step @p155 :rule quant-miniscope-or :args ((= @t200 @t203))) % 2.00/2.28 (step @p156 :rule trans :premises (@p155 @p154)) % 2.00/2.28 (step @p157 :rule symm :premises (@p156)) % 2.00/2.28 (step @p158 :rule cong :premises (@p157) :args ((forall @t27 @t210))) % 2.00/2.28 (step @p159 :rule trans :premises (@p158 @p151)) % 2.00/2.28 (step @p160 :rule trans :premises (@p159 @p150)) % 2.00/2.28 (step @p161 :rule aci_norm :args ((= (or @t211 @t209) @t210))) % 2.00/2.28 (step @p162 :rule refl :args (@t209)) % 2.00/2.28 (step @p163 :rule nary_cong :premises (@p109 @p108 @p107) :args (@t212)) % 2.00/2.28 (step @p164 :rule aci_norm :args ((= (or @t171 (or @t168 @t167)) @t212))) % 2.00/2.28 (step @p165 :rule trans :premises (@p164 @p163)) % 2.00/2.28 (step @p166 :rule bool-and-de-morgan :args (@t22 @t21 true)) % 2.00/2.28 (step @p167 :rule nary_cong :premises (@p124 @p166) :args ((or @t171 (not @t68)))) % 2.00/2.28 (step @p168 :rule bool-and-de-morgan :args (@t24 @t22 (and @t21))) % 2.00/2.28 (step @p169 :rule trans :premises (@p168 @p167)) % 2.00/2.28 (step @p170 :rule trans :premises (@p169 @p165)) % 2.00/2.28 (step @p171 :rule nary_cong :premises (@p170 @p162) :args ((or @t213 @t209))) % 2.00/2.28 (step @p172 :rule trans :premises (@p171 @p161)) % 2.00/2.28 (step @p173 :rule bool-impl-elim :args (@t25 @t209)) % 2.00/2.28 (step @p174 :rule trans :premises (@p173 @p172)) % 2.00/2.28 (step @p175 :rule cong :premises (@p174) :args ((forall @t27 (=> @t25 @t209)))) % 2.00/2.28 (step @p176 :rule trans :premises (@p175 @p160)) % 2.00/2.28 (step @p177 :rule aci_norm :args ((= @t215 @t207))) % 2.00/2.28 (step @p178 :rule cong :premises (@p177) :args (@t216)) % 2.00/2.28 (step @p179 :rule quant-merge-prenex :args ((= (forall @t19 @t218) @t216))) % 2.00/2.28 (step @p180 :rule alpha_equiv :args (@t219 (@list @t202) @t220)) % 2.00/2.28 (step @p181 :rule refl :args (@t206)) % 2.00/2.28 (step @p182 :rule refl :args (@t15)) % 2.00/2.28 (step @p183 :rule nary_cong :premises (@p182 @p105 @p181 @p180) :args (@t221)) % 2.00/2.28 (step @p184 :rule quant-miniscope-or :args ((= @t218 @t221))) % 2.00/2.28 (step @p185 :rule trans :premises (@p184 @p183)) % 2.00/2.28 (step @p186 :rule symm :premises (@p185)) % 2.00/2.28 (step @p187 :rule cong :premises (@p186) :args ((forall @t19 @t224))) % 2.00/2.28 (step @p188 :rule trans :premises (@p187 @p179)) % 2.00/2.28 (step @p189 :rule trans :premises (@p188 @p178)) % 2.00/2.28 (step @p190 :rule aci_norm :args ((= (or @t225 @t223) @t224))) % 2.00/2.28 (step @p191 :rule refl :args (@t223)) % 2.00/2.28 (step @p192 :rule nary_cong :premises (@p106 @p105 @p181) :args (@t226)) % 2.00/2.28 (step @p193 :rule aci_norm :args ((= (or @t170 (or @t81 @t206)) @t226))) % 2.00/2.28 (step @p194 :rule trans :premises (@p193 @p192)) % 2.00/2.28 (step @p195 :rule bool-and-de-morgan :args (@t14 @t13 true)) % 2.00/2.28 (step @p196 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2.00/2.28 (step @p615 :rule trans :premises (@p614 @p613)) % 2.00/2.28 (step @p616 :rule true_elim :premises (@p615)) % 2.00/2.28 (step @p617 :rule cnf_or_pos :args (@t406)) % 2.00/2.28 (step @p618 :rule reordering :premises (@p617) :args ((or @t301 @t405 @t404 @t395 (not @t406)))) % 2.00/2.28 (step @p619 :rule chain_m_resolution :premises (@p618 @p308 @p616 @p598 @p506) :args (@t404 (@list false false true false) (@list @t269 @t401 @t395 @t406))) % 2.00/2.28 (step @p620 :rule aci_norm :args ((= (or @t408 (or @t407 @t144)) (or @t408 @t407 @t144)))) % 2.00/2.28 (step @p621 :rule bool-impl-elim :args (@t145 @t144)) % 2.00/2.28 (step @p622 :rule refl :args (@t408)) % 2.00/2.28 (step @p623 :rule nary_cong :premises (@p622 @p621) :args ((or @t408 @t146))) % 2.00/2.28 (step @p624 :rule trans :premises (@p623 @p620)) % 2.00/2.28 (step @p625 :rule bool-impl-elim :args (@t69 @t146)) % 2.00/2.28 (step @p626 :rule trans :premises (@p625 @p624)) % 2.00/2.28 (step @p627 :rule cong :premises (@p626) :args (@t147)) % 2.00/2.28 (step @p628 :rule eq_resolve :premises (@p91 @p627)) % 2.00/2.28 (step @p629 :rule instantiate :premises (@p628) :args ((@list @t229 @t235 @t231))) % 2.00/2.28 (step @p630 :rule eq-symm :args (@t156 @t145)) % 2.00/2.28 (step @p631 :rule cong :premises (@p630) :args (@t157)) % 2.00/2.28 (step @p632 :rule eq_resolve :premises (@p95 @p631)) % 2.00/2.28 (step @p633 :rule eq-symm :args (@t409 @t236)) % 2.00/2.28 (step @p634 :rule refl :args (@t410)) % 2.00/2.28 (step @p635 :rule cong :premises (@p634 @p633) :args ((=> @t410 @t411))) % 2.00/2.28 (assume-push @p716 @t410) % 2.00/2.28 (step @p637 :rule instantiate :premises (@p632) :args ((@list @t229 @t235))) % 2.00/2.28 (step-pop @p717 :rule scope :premises (@p637)) % 2.00/2.28 (step @p638 :rule process_scope :premises (@p717) :args (@t411)) % 2.00/2.28 (step @p640 :rule eq_resolve :premises (@p638 @p635)) % 2.00/2.28 (step @p641 :rule implies_elim :premises (@p640)) % 2.00/2.28 (step @p642 :rule chain_m_resolution :premises (@p641 @p632) :args (@t412 @t273 (@list @t410))) % 2.00/2.28 (step @p643 :rule cnf_equiv_pos1 :args (@t412)) % 2.00/2.28 (step @p644 :rule reordering :premises (@p643) :args ((or @t237 @t409 (not @t412)))) % 2.00/2.28 (step @p645 :rule chain_m_resolution :premises (@p644 @p573 @p642) :args (@t409 @t253 (@list @t236 @t412))) % 2.00/2.28 (step @p646 :rule cnf_or_pos :args (@t415)) % 2.00/2.28 (step @p647 :rule reordering :premises (@p646) :args ((or @t414 @t405 @t413 (not @t415)))) % 2.00/2.28 (step @p648 :rule chain_m_resolution :premises (@p647 @p645 @p616 @p629) :args (@t413 @t291 (@list @t409 @t401 @t415))) % 2.00/2.28 (step @p649 :rule refl :args (@t416)) % 2.00/2.28 (step @p650 :rule bool-double-not-elim :args (@t403)) % 2.00/2.28 (step @p651 :rule refl :args (@t417)) % 2.00/2.28 (step @p652 :rule refl :args (@t418)) % 2.00/2.28 (step @p653 :rule refl :args (@t419)) % 2.00/2.28 (step @p654 :rule refl :args (@t420)) % 2.00/2.28 (step @p655 :rule nary_cong :premises (@p654 @p653 @p652 @p651 @p650 @p649) :args ((or @t420 @t419 @t418 @t417 (not @t404) @t416))) % 2.00/2.28 (assume-push @p718 @t413) % 2.00/2.28 (assume-push @p719 @t298) % 2.00/2.28 (assume-push @p720 @t255) % 2.00/2.28 (assume-push @p721 @t346) % 2.00/2.28 (assume-push @p722 @t312) % 2.00/2.28 (assume-push @p723 @t404) % 2.00/2.28 (step @p407 :rule evaluate :args (@t332)) % 2.00/2.28 (step @p662 :rule true_intro :premises (@p648)) % 2.00/2.28 (step @p663 :rule refl :args (@t235)) % 2.00/2.28 (step @p664 :rule symm :premises (@p256)) % 2.00/2.28 (step @p665 :rule cong :premises (@p664 @p663) :args (@t345)) % 2.00/2.28 (step @p666 :rule symm :premises (@p722)) % 2.00/2.28 (step @p667 :rule cong :premises (@p256) :args (@t402)) % 2.00/2.28 (step @p668 :rule trans :premises (@p667 @p666 @p489 @p665)) % 2.00/2.28 (step @p669 :rule cong :premises (@p347 @p668) :args (@t403)) % 2.00/2.28 (step @p670 :rule false_intro :premises (@p619)) % 2.00/2.28 (step @p671 :rule symm :premises (@p670)) % 2.00/2.28 (step @p672 :rule trans :premises (@p671 @p669 @p662)) % 2.00/2.28 (step @p673 false :rule eq_resolve :premises (@p672 @p407)) % 2.00/2.28 (step-pop @p724 :rule scope :premises (@p673)) % 2.00/2.28 (step-pop @p725 :rule scope :premises (@p724)) % 2.00/2.28 (step-pop @p726 :rule scope :premises (@p725)) % 2.00/2.28 (step-pop @p727 :rule scope :premises (@p726)) % 2.00/2.28 (step-pop @p728 :rule scope :premises (@p727)) % 2.00/2.28 (step-pop @p729 :rule scope :premises (@p728)) % 2.00/2.28 (step @p674 :rule process_scope :premises (@p729) :args (false)) % 2.00/2.28 (assume-push @p730 @t298) % 2.00/2.28 (assume-push @p731 @t255) % 2.00/2.28 (assume-push @p732 @t312) % 2.00/2.28 (assume-push @p733 @t346) % 2.00/2.28 (assume-push @p734 @t404) % 2.00/2.28 (assume-push @p735 @t413) % 2.00/2.28 (step @p687 :rule and_intro :premises (@p648 @p347 @p256 @p489 @p732 @p619)) % 2.00/2.28 (step-pop @p736 :rule scope :premises (@p687)) % 2.00/2.28 (step-pop @p737 :rule scope :premises (@p736)) % 2.00/2.28 (step-pop @p738 :rule scope :premises (@p737)) % 2.00/2.28 (step-pop @p739 :rule scope :premises (@p738)) % 2.00/2.28 (step-pop @p740 :rule scope :premises (@p739)) % 2.00/2.28 (step-pop @p741 :rule scope :premises (@p740)) % 2.00/2.28 (step @p688 :rule process_scope :premises (@p741) :args (@t421)) % 2.00/2.28 (step @p695 :rule implies_elim :premises (@p688)) % 2.00/2.28 (step @p696 :rule resolution :premises (@p695 @p674) :args (true @t421)) % 2.00/2.29 (step @p697 :rule not_and :premises (@p696)) % 2.00/2.29 (step @p698 :rule eq_resolve :premises (@p697 @p655)) % 2.00/2.29 (step @p699 false :rule chain_m_resolution :premises (@p698 @p648 @p619 @p489 @p458 @p347 @p256) :args (false (@list false true false false false false) (@list @t413 @t403 @t346 @t312 @t298 @t255))) % 2.00/2.29 ) % 2.00/2.29 % SZS output end Proof % 2.00/2.29 % cvc5 exiting %------------------------------------------------------------------------------