%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : TOP034+1 : TPTP v9.2.1. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n028.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 0.40s 0.69s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : TOP034+1 : TPTP v9.2.1. Released v3.4.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n028.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 01:22:20 EDT 2026 % 0.18/0.35 % CPUTime : % 0.29/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.40/0.69 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.40/0.69 % SZS status Theorem % 0.40/0.69 % SZS output start Proof % 0.40/0.69 ( % 0.40/0.69 (declare-sort $$unsorted 0) % 0.40/0.69 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.40/0.69 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.40/0.69 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 0.40/0.69 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 0.40/0.69 (declare-const tptp.v5_pre_topc (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.40/0.69 (declare-const tptp.v5_tdlat_3 (-> $$unsorted Bool)) % 0.40/0.69 (declare-const tptp.v1_tex_3 (-> $$unsorted $$unsorted Bool)) % 0.40/0.69 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.40/0.69 (declare-const tptp.v3_tops_1 (-> $$unsorted $$unsorted Bool)) % 0.40/0.69 (declare-const tptp.v2_tops_1 (-> $$unsorted $$unsorted Bool)) % 0.40/0.69 (declare-const tptp.v4_pre_topc (-> $$unsorted $$unsorted Bool)) % 0.40/0.69 (declare-const tptp.v2_tdlat_3 (-> $$unsorted Bool)) % 0.40/0.69 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 0.40/0.69 (declare-const tptp.v1_tsep_1 (-> $$unsorted $$unsorted Bool)) % 0.40/0.69 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.69 (declare-const tptp.m1_pre_topc (-> $$unsorted $$unsorted Bool)) % 0.40/0.69 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.40/0.69 (declare-const tptp.v2_pre_topc (-> $$unsorted Bool)) % 0.40/0.69 (declare-const tptp.v1_borsuk_1 (-> $$unsorted $$unsorted Bool)) % 0.40/0.69 (declare-const tptp.l1_pre_topc (-> $$unsorted Bool)) % 0.40/0.69 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 0.40/0.69 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 0.40/0.69 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 0.40/0.69 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.40/0.69 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 0.40/0.69 (declare-const tptp.v2_tex_2 (-> $$unsorted $$unsorted Bool)) % 0.40/0.69 (declare-const tptp.v3_tdlat_3 (-> $$unsorted Bool)) % 0.40/0.69 (declare-const tptp.v2_tsp_2 (-> $$unsorted $$unsorted Bool)) % 0.40/0.69 (declare-const tptp.v1_tdlat_3 (-> $$unsorted Bool)) % 0.40/0.69 (declare-const tptp.m2_tsp_1 (-> $$unsorted $$unsorted Bool)) % 0.40/0.69 (declare-const tptp.v3_realset2 (-> $$unsorted Bool)) % 0.40/0.69 (declare-const tptp.v3_borsuk_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.40/0.69 (declare-const tptp.v3_pre_topc (-> $$unsorted $$unsorted Bool)) % 0.40/0.69 (declare-const tptp.v4_ordinal2 (-> $$unsorted Bool)) % 0.40/0.69 (declare-const tptp.r1_borsuk_1 (-> $$unsorted $$unsorted Bool)) % 0.40/0.69 (declare-const tptp.v2_t_0topsp (-> $$unsorted Bool)) % 0.40/0.69 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.40/0.69 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 0.40/0.69 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 0.40/0.69 (declare-const tptp.v4_tdlat_3 (-> $$unsorted Bool)) % 0.40/0.69 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 0.40/0.69 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.40/0.69 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 0.40/0.69 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 0.40/0.69 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 0.40/0.69 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.40/0.69 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 0.40/0.69 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.40/0.69 (define @t1 () (@var "B" $$unsorted)) % 0.40/0.69 (define @t2 () (@var "A" $$unsorted)) % 0.40/0.69 (define @t3 () (tptp.r1_borsuk_1 @t2 @t1)) % 0.40/0.69 (define @t4 () (tptp.m2_tsp_1 @t1 @t2)) % 0.40/0.69 (define @t5 () (tptp.v2_tsp_2 @t1 @t2)) % 0.40/0.69 (define @t6 () (tptp.v3_struct_0 @t1)) % 0.40/0.69 (define @t7 () (not @t6)) % 0.40/0.69 (define @t8 () (and @t7 @t5 @t4)) % 0.40/0.69 (define @t9 () (@list @t1)) % 0.40/0.69 (define @t10 () (forall @t9 (=> @t8 @t3))) % 0.40/0.69 (define @t11 () (tptp.l1_pre_topc @t2)) % 0.40/0.69 (define @t12 () (tptp.v2_pre_topc @t2)) % 0.40/0.69 (define @t13 () (tptp.v3_struct_0 @t2)) % 0.40/0.69 (define @t14 () (not @t13)) % 0.40/0.69 (define @t15 () (and @t14 @t12 @t11)) % 0.40/0.69 (define @t16 () (=> @t15 @t10)) % 0.40/0.69 (define @t17 () (@list @t2)) % 0.40/0.69 (define @t18 () (forall @t17 @t16)) % 0.40/0.69 (define @t19 () (not @t18)) % 0.40/0.69 (define @t20 () (tptp.r2_hidden @t2 @t1)) % 0.40/0.69 (define @t21 () (@list @t2 @t1)) % 0.40/0.69 (define @t22 () (tptp.v1_xcmplx_0 @t1)) % 0.40/0.69 (define @t23 () (tptp.m1_subset_1 @t1 @t2)) % 0.40/0.69 (define @t24 () (tptp.v1_membered @t2)) % 0.40/0.69 (define @t25 () (tptp.v3_tdlat_3 @t2)) % 0.40/0.69 (define @t26 () (tptp.v2_tdlat_3 @t2)) % 0.40/0.69 (define @t27 () (not @t26)) % 0.40/0.69 (define @t28 () (tptp.v1_tdlat_3 @t2)) % 0.40/0.69 (define @t29 () (not @t28)) % 0.40/0.69 (define @t30 () (tptp.v3_realset2 @t2)) % 0.40/0.69 (define @t31 () (not @t30)) % 0.40/0.69 (define @t32 () (tptp.v2_t_0topsp @t2)) % 0.40/0.69 (define @t33 () (tptp.v1_borsuk_1 @t1 @t2)) % 0.40/0.69 (define @t34 () (tptp.v2_pre_topc @t1)) % 0.40/0.69 (define @t35 () (tptp.v2_tex_2 @t1 @t2)) % 0.40/0.69 (define @t36 () (and @t35 @t5)) % 0.40/0.69 (define @t37 () (tptp.m1_pre_topc @t1 @t2)) % 0.40/0.69 (define @t38 () (tptp.v1_xreal_0 @t1)) % 0.40/0.69 (define @t39 () (tptp.v2_membered @t2)) % 0.40/0.69 (define @t40 () (tptp.v2_t_0topsp @t1)) % 0.40/0.69 (define @t41 () (and @t7 @t40)) % 0.40/0.69 (define @t42 () (tptp.v1_rat_1 @t1)) % 0.40/0.69 (define @t43 () (tptp.v3_membered @t2)) % 0.40/0.69 (define @t44 () (not @t40)) % 0.40/0.69 (define @t45 () (not @t35)) % 0.40/0.69 (define @t46 () (not @t32)) % 0.40/0.69 (define @t47 () (and @t14 @t12 @t46 @t11)) % 0.40/0.69 (define @t48 () (tptp.v1_int_1 @t1)) % 0.40/0.69 (define @t49 () (tptp.v4_membered @t2)) % 0.40/0.69 (define @t50 () (tptp.v5_membered @t2)) % 0.40/0.69 (define @t51 () (tptp.v1_xboole_0 @t2)) % 0.40/0.69 (define @t52 () (tptp.v1_membered @t1)) % 0.40/0.69 (define @t53 () (tptp.k1_zfmisc_1 @t2)) % 0.40/0.69 (define @t54 () (tptp.m1_subset_1 @t1 @t53)) % 0.40/0.69 (define @t55 () (tptp.v2_membered @t1)) % 0.40/0.69 (define @t56 () (tptp.v3_membered @t1)) % 0.40/0.69 (define @t57 () (tptp.v4_membered @t1)) % 0.40/0.69 (define @t58 () (and @t12 @t11)) % 0.40/0.69 (define @t59 () (@var "C" $$unsorted)) % 0.40/0.69 (define @t60 () (tptp.k2_zfmisc_1 @t2 @t1)) % 0.40/0.69 (define @t61 () (tptp.m1_subset_1 @t59 (tptp.k1_zfmisc_1 @t60))) % 0.40/0.69 (define @t62 () (@list @t2 @t1 @t59)) % 0.40/0.69 (define @t63 () (tptp.v4_pre_topc @t1 @t2)) % 0.40/0.69 (define @t64 () (tptp.v3_pre_topc @t1 @t2)) % 0.40/0.69 (define @t65 () (tptp.v1_xboole_0 @t1)) % 0.40/0.69 (define @t66 () (tptp.u1_struct_0 @t2)) % 0.40/0.69 (define @t67 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t66))) % 0.40/0.69 (define @t68 () (and @t14 @t11)) % 0.40/0.69 (define @t69 () (tptp.v5_membered @t1)) % 0.40/0.69 (define @t70 () (tptp.v2_tops_1 @t1 @t2)) % 0.40/0.69 (define @t71 () (not @t5)) % 0.40/0.69 (define @t72 () (tptp.v3_tops_1 @t1 @t2)) % 0.40/0.69 (define @t73 () (tptp.v1_tex_3 @t1 @t2)) % 0.40/0.69 (define @t74 () (and @t34 @t71)) % 0.40/0.69 (define @t75 () (and @t34 @t45)) % 0.40/0.69 (define @t76 () (tptp.v1_tsep_1 @t1 @t2)) % 0.40/0.69 (define @t77 () (tptp.v5_tdlat_3 @t2)) % 0.40/0.69 (define @t78 () (tptp.v4_tdlat_3 @t2)) % 0.40/0.69 (define @t79 () (tptp.v3_borsuk_1 @t59 @t2 @t1)) % 0.40/0.69 (define @t80 () (tptp.u1_struct_0 @t1)) % 0.40/0.69 (define @t81 () (tptp.m2_relset_1 @t59 @t66 @t80)) % 0.40/0.69 (define @t82 () (tptp.v5_pre_topc @t59 @t2 @t1)) % 0.40/0.69 (define @t83 () (tptp.v1_funct_2 @t59 @t66 @t80)) % 0.40/0.69 (define @t84 () (tptp.v1_funct_1 @t59)) % 0.40/0.69 (define @t85 () (and @t84 @t83 @t82 @t81 @t79)) % 0.40/0.69 (define @t86 () (@list @t59)) % 0.40/0.69 (define @t87 () (exists @t86 @t85)) % 0.40/0.69 (define @t88 () (= @t3 @t87)) % 0.40/0.69 (define @t89 () (and @t7 @t37)) % 0.40/0.69 (define @t90 () (=> @t89 @t88)) % 0.40/0.69 (define @t91 () (forall @t9 @t90)) % 0.40/0.69 (define @t92 () (=> @t15 @t91)) % 0.40/0.69 (define @t93 () (forall @t17 @t92)) % 0.40/0.69 (define @t94 () (tptp.l1_struct_0 @t2)) % 0.40/0.69 (define @t95 () (tptp.l1_pre_topc @t1)) % 0.40/0.69 (define @t96 () (tptp.m2_relset_1 @t59 @t2 @t1)) % 0.40/0.69 (define @t97 () (tptp.m1_relset_1 @t59 @t2 @t1)) % 0.40/0.69 (define @t98 () (and @t14 @t94)) % 0.40/0.69 (define @t99 () (not @t65)) % 0.40/0.69 (define @t100 () (not @t51)) % 0.40/0.69 (define @t101 () (forall @t9 (= @t4 @t37))) % 0.40/0.69 (define @t102 () (forall @t17 (=> @t11 @t101))) % 0.40/0.69 (define @t103 () (tptp.m1_subset_1 @t2 @t1)) % 0.40/0.69 (define @t104 () (=> @t8 @t87)) % 0.40/0.69 (define @t105 () (forall @t9 @t104)) % 0.40/0.69 (define @t106 () (=> @t15 @t105)) % 0.40/0.69 (define @t107 () (forall @t17 @t106)) % 0.40/0.69 (define @t108 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t59))) % 0.40/0.69 (define @t109 () (@var "BOUND_VARIABLE_7952" $$unsorted)) % 0.40/0.69 (define @t110 () (tptp.r1_borsuk_1 @t2 @t109)) % 0.40/0.69 (define @t111 () (not (tptp.m2_tsp_1 @t109 @t2))) % 0.40/0.69 (define @t112 () (not (tptp.v2_tsp_2 @t109 @t2))) % 0.40/0.69 (define @t113 () (tptp.v3_struct_0 @t109)) % 0.40/0.69 (define @t114 () (not @t11)) % 0.40/0.69 (define @t115 () (not @t12)) % 0.40/0.69 (define @t116 () (or @t13 @t115 @t114 @t113 @t112 @t111 @t110)) % 0.40/0.69 (define @t117 () (or @t113 @t112 @t111 @t110)) % 0.40/0.69 (define @t118 () (or @t13 @t115 @t114 @t117)) % 0.40/0.69 (define @t119 () (@list @t2 @t109)) % 0.40/0.69 (define @t120 () (forall @t119 @t118)) % 0.40/0.69 (define @t121 () (@list @t109)) % 0.40/0.69 (define @t122 () (forall @t121 @t118)) % 0.40/0.69 (define @t123 () (forall @t121 @t117)) % 0.40/0.69 (define @t124 () (@list @t1)) % 0.40/0.69 (define @t125 () (or @t13 @t115 @t114 @t123)) % 0.40/0.69 (define @t126 () (not @t4)) % 0.40/0.69 (define @t127 () (or @t6 @t71 @t126 @t3)) % 0.40/0.69 (define @t128 () (forall @t9 @t127)) % 0.40/0.69 (define @t129 () (or @t13 @t115 @t114 @t128)) % 0.40/0.69 (define @t130 () (or @t13 @t115 @t114)) % 0.40/0.69 (define @t131 () (not @t14)) % 0.40/0.69 (define @t132 () (or @t131 @t115 @t114)) % 0.40/0.69 (define @t133 () (not @t15)) % 0.40/0.69 (define @t134 () (or @t6 @t71 @t126)) % 0.40/0.69 (define @t135 () (not @t7)) % 0.40/0.69 (define @t136 () (or @t135 @t71 @t126)) % 0.40/0.69 (define @t137 () (not @t8)) % 0.40/0.69 (define @t138 () (forall @t119 @t116)) % 0.40/0.69 (define @t139 () (@quantifiers_skolemize @t138 1)) % 0.40/0.69 (define @t140 () (@quantifiers_skolemize @t138 0)) % 0.40/0.69 (define @t141 () (tptp.r1_borsuk_1 @t140 @t139)) % 0.40/0.69 (define @t142 () (tptp.m2_tsp_1 @t139 @t140)) % 0.40/0.69 (define @t143 () (not @t142)) % 0.40/0.69 (define @t144 () (tptp.v2_tsp_2 @t139 @t140)) % 0.40/0.69 (define @t145 () (not @t144)) % 0.40/0.69 (define @t146 () (tptp.v3_struct_0 @t139)) % 0.40/0.69 (define @t147 () (tptp.l1_pre_topc @t140)) % 0.40/0.69 (define @t148 () (not @t147)) % 0.40/0.69 (define @t149 () (tptp.v2_pre_topc @t140)) % 0.40/0.69 (define @t150 () (not @t149)) % 0.40/0.69 (define @t151 () (tptp.v3_struct_0 @t140)) % 0.40/0.69 (define @t152 () (or @t151 @t150 @t148 @t146 @t145 @t143 @t141)) % 0.40/0.69 (define @t153 () (@list true)) % 0.40/0.69 (define @t154 () (@list @t152)) % 0.40/0.69 (define @t155 () (@var "BOUND_VARIABLE_8805" $$unsorted)) % 0.40/0.69 (define @t156 () (tptp.u1_struct_0 @t155)) % 0.40/0.69 (define @t157 () (not @t84)) % 0.40/0.69 (define @t158 () (= (tptp.r1_borsuk_1 @t2 @t155) (not (forall @t86 (or @t157 (not (tptp.v1_funct_2 @t59 @t66 @t156)) (not (tptp.v5_pre_topc @t59 @t2 @t155)) (not (tptp.m2_relset_1 @t59 @t66 @t156)) (not (tptp.v3_borsuk_1 @t59 @t2 @t155))))))) % 0.40/0.69 (define @t159 () (not (tptp.m1_pre_topc @t155 @t2))) % 0.40/0.69 (define @t160 () (tptp.v3_struct_0 @t155)) % 0.40/0.69 (define @t161 () (or @t160 @t159 @t158)) % 0.40/0.69 (define @t162 () (or @t13 @t115 @t114 @t161)) % 0.40/0.69 (define @t163 () (forall (@list @t2 @t155) @t162)) % 0.40/0.69 (define @t164 () (@list @t155)) % 0.40/0.69 (define @t165 () (forall @t164 @t162)) % 0.40/0.69 (define @t166 () (forall @t164 @t161)) % 0.40/0.69 (define @t167 () (or @t13 @t115 @t114 @t166)) % 0.40/0.69 (define @t168 () (not @t79)) % 0.40/0.69 (define @t169 () (not @t81)) % 0.40/0.69 (define @t170 () (not @t82)) % 0.40/0.69 (define @t171 () (not @t83)) % 0.40/0.69 (define @t172 () (or @t157 @t171 @t170 @t169 @t168)) % 0.40/0.69 (define @t173 () (not (forall @t86 @t172))) % 0.40/0.69 (define @t174 () (= @t3 @t173)) % 0.40/0.69 (define @t175 () (not @t37)) % 0.40/0.69 (define @t176 () (or @t6 @t175 @t174)) % 0.40/0.69 (define @t177 () (forall @t9 @t176)) % 0.40/0.69 (define @t178 () (or @t13 @t115 @t114 @t177)) % 0.40/0.69 (define @t179 () (forall @t86 (not @t85))) % 0.40/0.69 (define @t180 () (not @t179)) % 0.40/0.69 (define @t181 () (@list @t140 @t139)) % 0.40/0.69 (define @t182 () (@var "BOUND_VARIABLE_9046" $$unsorted)) % 0.40/0.69 (define @t183 () (= (tptp.m2_tsp_1 @t182 @t2) (tptp.m1_pre_topc @t182 @t2))) % 0.40/0.69 (define @t184 () (or @t114 @t183)) % 0.40/0.69 (define @t185 () (@list @t182)) % 0.40/0.69 (define @t186 () (forall @t185 @t184)) % 0.40/0.69 (define @t187 () (forall @t185 @t183)) % 0.40/0.69 (define @t188 () (or @t114 @t187)) % 0.40/0.69 (define @t189 () (tptp.m1_pre_topc @t139 @t140)) % 0.40/0.69 (define @t190 () (= @t142 @t189)) % 0.40/0.69 (define @t191 () (or @t148 @t190)) % 0.40/0.69 (define @t192 () (@list false false)) % 0.40/0.69 (define @t193 () (@var "BOUND_VARIABLE_9068" $$unsorted)) % 0.40/0.69 (define @t194 () (tptp.u1_struct_0 @t193)) % 0.40/0.69 (define @t195 () (not (forall @t86 (or @t157 (not (tptp.v1_funct_2 @t59 @t66 @t194)) (not (tptp.v5_pre_topc @t59 @t2 @t193)) (not (tptp.m2_relset_1 @t59 @t66 @t194)) (not (tptp.v3_borsuk_1 @t59 @t2 @t193)))))) % 0.40/0.69 (define @t196 () (not (tptp.m2_tsp_1 @t193 @t2))) % 0.40/0.69 (define @t197 () (not (tptp.v2_tsp_2 @t193 @t2))) % 0.40/0.69 (define @t198 () (tptp.v3_struct_0 @t193)) % 0.40/0.69 (define @t199 () (or @t198 @t197 @t196 @t195)) % 0.40/0.69 (define @t200 () (or @t13 @t115 @t114 @t199)) % 0.40/0.69 (define @t201 () (forall (@list @t2 @t193) @t200)) % 0.40/0.69 (define @t202 () (@list @t193)) % 0.40/0.69 (define @t203 () (forall @t202 @t200)) % 0.40/0.69 (define @t204 () (forall @t202 @t199)) % 0.40/0.69 (define @t205 () (or @t13 @t115 @t114 @t204)) % 0.40/0.69 (define @t206 () (or @t6 @t71 @t126 @t173)) % 0.40/0.69 (define @t207 () (forall @t9 @t206)) % 0.40/0.69 (define @t208 () (or @t13 @t115 @t114 @t207)) % 0.40/0.69 (define @t209 () (tptp.u1_struct_0 @t139)) % 0.40/0.69 (define @t210 () (tptp.u1_struct_0 @t140)) % 0.40/0.69 (define @t211 () (forall @t86 (or @t157 (not (tptp.v1_funct_2 @t59 @t210 @t209)) (not (tptp.v5_pre_topc @t59 @t140 @t139)) (not (tptp.m2_relset_1 @t59 @t210 @t209)) (not (tptp.v3_borsuk_1 @t59 @t140 @t139))))) % 0.40/0.69 (define @t212 () (not @t211)) % 0.40/0.69 (define @t213 () (or @t151 @t150 @t148 @t146 @t145 @t143 @t212)) % 0.40/0.69 (define @t214 () (= @t141 @t212)) % 0.40/0.69 (define @t215 () (not @t214)) % 0.40/0.69 (define @t216 () (not @t189)) % 0.40/0.69 (define @t217 () (or @t151 @t150 @t148 @t146 @t216 @t214)) % 0.40/0.69 (assume @p1 @t19) % 0.40/0.69 (assume @p2 (forall @t21 (=> @t20 (not (tptp.r2_hidden @t1 @t2))))) % 0.40/0.69 (assume @p3 (forall @t17 (=> @t24 (forall @t9 (=> @t23 @t22))))) % 0.40/0.69 (assume @p4 (forall @t17 (=> @t11 (=> (and @t14 @t12 @t29 @t32) (and @t14 @t31 @t12 @t29 @t27 (not @t25)))))) % 0.40/0.69 (assume @p5 (forall @t17 (=> @t15 (forall @t9 (=> @t37 (=> @t36 (and @t34 (not @t33)))))))) % 0.40/0.69 (assume @p6 (forall @t17 (=> @t39 (forall @t9 (=> @t23 (and @t22 @t38)))))) % 0.40/0.69 (assume @p7 (forall @t17 (=> (and @t14 @t12 @t32 @t11) (forall @t9 (=> @t37 (=> @t7 @t41)))))) % 0.40/0.69 (assume @p8 (forall @t17 (=> @t43 (forall @t9 (=> @t23 (and @t22 @t38 @t42)))))) % 0.40/0.69 (assume @p9 (forall @t17 (=> @t47 (forall @t9 (=> @t37 (=> (and @t7 @t45) (and @t7 (not (tptp.v3_realset2 @t1)) @t44))))))) % 0.40/0.69 (assume @p10 (forall @t17 (=> @t49 (forall @t9 (=> @t23 (and @t22 @t38 @t48 @t42)))))) % 0.40/0.69 (assume @p11 (forall @t17 (=> @t47 (forall @t9 (=> @t37 (=> @t41 (and @t7 @t35))))))) % 0.40/0.69 (assume @p12 (forall @t17 (=> @t50 (forall @t9 (=> @t23 (and @t22 (tptp.v4_ordinal2 @t1) @t38 @t48 @t42)))))) % 0.40/0.69 (assume @p13 (forall @t17 (=> @t51 (and @t24 @t39 @t43 @t49 @t50)))) % 0.40/0.69 (assume @p14 (forall @t17 (=> @t24 (forall @t9 (=> @t54 @t52))))) % 0.40/0.69 (assume @p15 (forall @t17 (=> @t39 (forall @t9 (=> @t54 (and @t52 @t55)))))) % 0.40/0.69 (assume @p16 (forall @t17 (=> @t43 (forall @t9 (=> @t54 (and @t52 @t55 @t56)))))) % 0.40/0.69 (assume @p17 (forall @t17 (=> @t49 (forall @t9 (=> @t54 (and @t52 @t55 @t56 @t57)))))) % 0.40/0.69 (assume @p18 (forall @t17 (=> @t50 @t49))) % 0.40/0.69 (assume @p19 (forall @t17 (=> @t58 (forall @t9 (=> @t37 @t34))))) % 0.40/0.69 (assume @p20 (forall @t62 (=> @t61 (tptp.v1_relat_1 @t59)))) % 0.40/0.69 (assume @p21 (forall @t17 (=> @t58 (forall @t9 (=> @t67 (=> @t65 (and @t64 @t63))))))) % 0.40/0.69 (assume @p22 (forall @t17 (=> @t11 (=> (and @t14 @t30) (and @t14 @t32))))) % 0.40/0.69 (assume @p23 (forall @t17 (=> @t68 (forall @t9 (=> @t37 (=> (and @t7 @t5) @t41)))))) % 0.40/0.69 (assume @p24 (forall @t17 (=> @t50 (forall @t9 (=> @t54 (and @t52 @t55 @t56 @t57 @t69)))))) % 0.40/0.69 (assume @p25 (forall @t17 (=> @t49 @t43))) % 0.40/0.69 (assume @p26 (forall @t17 (=> @t11 (forall @t9 (=> @t67 (=> @t65 @t70)))))) % 0.40/0.69 (assume @p27 (forall @t17 (=> @t11 (=> (and @t14 @t46) (and @t14 @t31))))) % 0.40/0.69 (assume @p28 (forall @t17 (=> @t68 (forall @t9 (=> @t37 (=> (and @t7 @t44) (and @t7 @t71))))))) % 0.40/0.69 (assume @p29 (forall @t17 (=> @t43 @t39))) % 0.40/0.69 (assume @p30 (forall @t17 (=> @t58 (forall @t9 (=> @t67 (=> @t65 @t72)))))) % 0.40/0.69 (assume @p31 (forall @t17 (=> @t11 (=> (and @t14 @t12 @t28) (and @t14 @t12 @t32))))) % 0.40/0.69 (assume @p32 (forall @t17 (=> @t15 (forall @t9 (=> @t37 (=> @t5 (and @t34 @t73))))))) % 0.40/0.69 (assume @p33 (forall @t17 (=> @t39 @t24))) % 0.40/0.69 (assume @p34 (forall @t17 (=> @t58 (forall @t9 (=> @t67 (=> @t72 @t70)))))) % 0.40/0.69 (assume @p35 (forall @t17 (=> @t11 (=> (and @t14 @t12 @t46) (and @t14 @t31 @t12 @t29))))) % 0.40/0.69 (assume @p36 (forall @t17 (=> @t15 (forall @t9 (=> @t37 (=> (not @t73) @t74)))))) % 0.40/0.69 (assume @p37 (forall @t17 (=> @t58 (forall @t9 (=> @t67 (=> (and @t63 @t70) (and @t70 @t72))))))) % 0.40/0.69 (assume @p38 (forall @t17 (=> @t11 (=> (and @t14 @t31 @t12 @t26) (and @t14 @t31 @t12 @t46))))) % 0.40/0.69 (assume @p39 (forall @t17 (=> @t15 (forall @t9 (=> @t37 (=> (and @t76 @t5) @t75)))))) % 0.40/0.69 (assume @p40 (forall @t17 (=> @t58 (forall @t9 (=> @t67 (=> (and @t64 @t72) (and @t65 @t64 @t63 @t52 @t55 @t56 @t57 @t69 @t70 @t72))))))) % 0.40/0.69 (assume @p41 (forall @t17 (=> @t11 (=> (and @t14 @t12 @t26 @t32) (and @t14 @t30 @t12 @t28 @t26 @t25 @t78 @t77 @t32))))) % 0.40/0.69 (assume @p42 (forall @t17 (=> @t15 (forall @t9 (=> @t37 (=> (and @t76 @t35) @t74)))))) % 0.40/0.69 (assume @p43 (forall @t17 (=> @t11 (=> (and @t14 @t31 @t12 @t32) (and @t14 @t31 @t12 @t27))))) % 0.40/0.69 (assume @p44 (forall @t17 (=> @t15 (forall @t9 (=> @t37 (=> @t36 (and @t34 (not @t76)))))))) % 0.40/0.69 (assume @p45 (forall @t17 (=> @t11 (=> (and @t14 @t12 @t25 @t32) (and @t14 @t12 @t28 @t25 @t78 @t77 @t32))))) % 0.40/0.69 (assume @p46 (forall @t17 (=> @t15 (forall @t9 (=> @t37 (=> (and @t33 @t5) @t75)))))) % 0.40/0.69 (assume @p47 (forall @t17 (=> @t11 (=> (and @t14 @t12 @t29 @t25) (and @t14 @t31 @t12 @t29 @t46))))) % 0.40/0.69 (assume @p48 (forall @t17 (=> @t15 (forall @t9 (=> @t37 (=> (and @t35 @t33) @t74)))))) % 0.40/0.69 (assume @p49 @t93) % 0.40/0.69 (assume @p50 true) % 0.40/0.69 (assume @p51 (forall @t17 (=> @t11 @t94))) % 0.40/0.69 (assume @p52 (forall @t17 (=> @t11 (forall @t9 (=> @t37 @t95))))) % 0.40/0.69 (assume @p53 (forall @t62 (=> @t96 @t61))) % 0.40/0.69 (assume @p54 (forall @t17 (=> @t11 (forall @t9 (=> @t4 @t95))))) % 0.40/0.69 (assume @p55 (exists @t17 @t11)) % 0.40/0.69 (assume @p56 (exists @t17 @t94)) % 0.40/0.69 (assume @p57 (forall @t17 (=> @t11 (exists @t9 @t37)))) % 0.40/0.69 (assume @p58 (forall @t21 (exists @t86 @t97))) % 0.40/0.69 (assume @p59 (forall @t17 (exists @t9 @t23))) % 0.40/0.69 (assume @p60 (forall @t21 (exists @t86 @t96))) % 0.40/0.69 (assume @p61 (forall @t17 (=> @t11 (exists @t9 @t4)))) % 0.40/0.69 (assume @p62 (forall @t17 (=> @t98 (not (tptp.v1_xboole_0 @t66))))) % 0.40/0.69 (assume @p63 (forall @t17 (not (tptp.v1_xboole_0 @t53)))) % 0.40/0.69 (assume @p64 (forall @t21 (=> (and @t100 @t99) (not (tptp.v1_xboole_0 @t60))))) % 0.40/0.69 (assume @p65 (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))) % 0.40/0.69 (assume @p66 (exists @t17 (and @t100 @t24 @t39 @t43 @t49 @t50))) % 0.40/0.69 (assume @p67 (forall @t17 (=> @t100 (exists @t9 (and @t54 @t99))))) % 0.40/0.69 (assume @p68 (forall @t17 (=> @t58 (exists @t9 (and @t67 @t64))))) % 0.40/0.69 (assume @p69 (forall @t17 (exists @t9 (and @t54 @t65)))) % 0.40/0.69 (assume @p70 (forall @t17 (=> @t58 (exists @t9 (and @t67 @t64 @t63))))) % 0.40/0.69 (assume @p71 (exists @t17 (and @t94 @t14))) % 0.40/0.69 (assume @p72 (forall @t17 (=> @t15 (exists @t9 (and @t67 @t99 @t64 @t63))))) % 0.40/0.69 (assume @p73 (forall @t17 (=> @t11 (exists @t9 (and @t67 @t65 @t52 @t55 @t56 @t57 @t69 @t70))))) % 0.40/0.69 (assume @p74 (forall @t17 (=> @t98 (exists @t9 (and @t67 @t99))))) % 0.40/0.69 (assume @p75 (forall @t17 (=> @t58 (exists @t9 (and @t67 @t65 @t64 @t63 @t52 @t55 @t56 @t57 @t69 @t70 @t72))))) % 0.40/0.69 (assume @p76 (forall @t17 (=> @t58 (exists @t9 (and @t67 @t63))))) % 0.40/0.69 (assume @p77 (forall @t17 (=> @t15 (exists @t9 (and @t67 @t99 @t63))))) % 0.40/0.69 (assume @p78 (forall @t62 (= @t96 @t97))) % 0.40/0.69 (assume @p79 @t102) % 0.40/0.69 (assume @p80 (forall @t21 (tptp.r1_tarski @t2 @t2))) % 0.40/0.69 (assume @p81 (forall @t21 (=> @t20 @t103))) % 0.40/0.69 (assume @p82 @t107) % 0.40/0.69 (assume @p83 (forall @t21 (=> @t103 (or @t65 @t20)))) % 0.40/0.69 (assume @p84 (forall @t21 (= (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t1)) (tptp.r1_tarski @t2 @t1)))) % 0.40/0.69 (assume @p85 (forall @t62 (=> (and @t20 @t108) (tptp.m1_subset_1 @t2 @t59)))) % 0.40/0.69 (assume @p86 (forall @t62 (not (and @t20 @t108 (tptp.v1_xboole_0 @t59))))) % 0.40/0.69 (assume @p87 (forall @t17 (=> @t51 (= @t2 tptp.k1_xboole_0)))) % 0.40/0.69 (assume @p88 (forall @t21 (not (and @t20 @t65)))) % 0.40/0.69 (assume @p89 (forall @t21 (not (and @t51 (not (= @t2 @t1)) @t65)))) % 0.40/0.69 (step @p90 :rule aci_norm :args ((= @t118 @t116))) % 0.40/0.69 (step @p91 :rule cong :premises (@p90) :args (@t120)) % 0.40/0.69 (step @p92 :rule quant-merge-prenex :args ((= (forall @t17 @t122) @t120))) % 0.40/0.69 (step @p93 :rule alpha_equiv :args (@t123 (@list @t109) @t124)) % 0.40/0.69 (step @p94 :rule refl :args (@t114)) % 0.40/0.69 (step @p95 :rule refl :args (@t115)) % 0.40/0.69 (step @p96 :rule refl :args (@t13)) % 0.40/0.69 (step @p97 :rule nary_cong :premises (@p96 @p95 @p94 @p93) :args (@t125)) % 0.40/0.69 (step @p98 :rule quant-miniscope-or :args ((= @t122 @t125))) % 0.40/0.69 (step @p99 :rule trans :premises (@p98 @p97)) % 0.40/0.69 (step @p100 :rule symm :premises (@p99)) % 0.40/0.69 (step @p101 :rule cong :premises (@p100) :args ((forall @t17 @t129))) % 0.40/0.69 (step @p102 :rule trans :premises (@p101 @p92)) % 0.40/0.69 (step @p103 :rule trans :premises (@p102 @p91)) % 0.40/0.69 (step @p104 :rule aci_norm :args ((= (or @t130 @t128) @t129))) % 0.40/0.69 (step @p105 :rule refl :args (@t128)) % 0.40/0.69 (step @p106 :rule bool-double-not-elim :args (@t13)) % 0.40/0.69 (step @p107 :rule nary_cong :premises (@p106 @p95 @p94) :args (@t132)) % 0.40/0.69 (step @p108 :rule aci_norm :args ((= (or @t131 (or @t115 @t114)) @t132))) % 0.40/0.69 (step @p109 :rule trans :premises (@p108 @p107)) % 0.40/0.69 (step @p110 :rule bool-and-de-morgan :args (@t12 @t11 true)) % 0.40/0.69 (step @p111 :rule refl :args (@t131)) % 0.40/0.69 (step @p112 :rule nary_cong :premises (@p111 @p110) :args ((or @t131 (not @t58)))) % 0.40/0.69 (step @p113 :rule bool-and-de-morgan :args (@t14 @t12 (and @t11))) % 0.40/0.69 (step @p114 :rule trans :premises (@p113 @p112)) % 0.40/0.69 (step @p115 :rule trans :premises (@p114 @p109)) % 0.40/0.69 (step @p116 :rule nary_cong :premises (@p115 @p105) :args ((or @t133 @t128))) % 0.40/0.69 (step @p117 :rule trans :premises (@p116 @p104)) % 0.40/0.69 (step @p118 :rule bool-impl-elim :args (@t15 @t128)) % 0.40/0.69 (step @p119 :rule trans :premises (@p118 @p117)) % 0.40/0.69 (step @p120 :rule cong :premises (@p119) :args ((forall @t17 (=> @t15 @t128)))) % 0.40/0.69 (step @p121 :rule trans :premises (@p120 @p103)) % 0.40/0.69 (step @p122 :rule aci_norm :args ((= (or @t134 @t3) @t127))) % 0.40/0.69 (step @p123 :rule refl :args (@t3)) % 0.40/0.69 (step @p124 :rule refl :args (@t126)) % 0.40/0.69 (step @p125 :rule refl :args (@t71)) % 0.40/0.69 (step @p126 :rule bool-double-not-elim :args (@t6)) % 0.40/0.69 (step @p127 :rule nary_cong :premises (@p126 @p125 @p124) :args (@t136)) % 0.40/0.69 (step @p128 :rule aci_norm :args ((= (or @t135 (or @t71 @t126)) @t136))) % 0.40/0.69 (step @p129 :rule trans :premises (@p128 @p127)) % 0.40/0.69 (step @p130 :rule bool-and-de-morgan :args (@t5 @t4 true)) % 0.40/0.69 (step @p131 :rule refl :args (@t135)) % 0.40/0.69 (step @p132 :rule nary_cong :premises (@p131 @p130) :args ((or @t135 (not (and @t5 @t4))))) % 0.40/0.69 (step @p133 :rule bool-and-de-morgan :args (@t7 @t5 (and @t4))) % 0.40/0.69 (step @p134 :rule trans :premises (@p133 @p132)) % 0.40/0.69 (step @p135 :rule trans :premises (@p134 @p129)) % 0.40/0.69 (step @p136 :rule nary_cong :premises (@p135 @p123) :args ((or @t137 @t3))) % 0.40/0.69 (step @p137 :rule trans :premises (@p136 @p122)) % 0.40/0.69 (step @p138 :rule bool-impl-elim :args (@t8 @t3)) % 0.40/0.69 (step @p139 :rule trans :premises (@p138 @p137)) % 0.40/0.69 (step @p140 :rule cong :premises (@p139) :args (@t10)) % 0.40/0.69 (step @p141 :rule refl :args (@t15)) % 0.40/0.69 (step @p142 :rule cong :premises (@p141 @p140) :args (@t16)) % 0.40/0.69 (step @p143 :rule cong :premises (@p142) :args (@t18)) % 0.40/0.69 (step @p144 :rule trans :premises (@p143 @p121)) % 0.40/0.69 (step @p145 :rule cong :premises (@p144) :args (@t19)) % 0.40/0.69 (step @p146 :rule eq_resolve :premises (@p1 @p145)) % 0.40/0.69 (step @p147 :rule skolemize :premises (@p146)) % 0.40/0.69 (step @p148 :rule cnf_or_neg :args (@t152 0)) % 0.40/0.69 (step @p149 :rule chain_m_resolution :premises (@p148 @p147) :args ((not @t151) @t153 @t154)) % 0.40/0.69 (step @p150 :rule bool-double-not-elim :args (@t149)) % 0.40/0.69 (step @p151 :rule refl :args (@t152)) % 0.40/0.69 (step @p152 :rule nary_cong :premises (@p151 @p150) :args ((or @t152 (not @t150)))) % 0.40/0.69 (step @p153 :rule cnf_or_neg :args (@t152 1)) % 0.40/0.69 (step @p154 :rule eq_resolve :premises (@p153 @p152)) % 0.40/0.69 (step @p155 :rule reordering :premises (@p154) :args ((or @t149 @t152))) % 0.40/0.69 (step @p156 :rule chain_m_resolution :premises (@p155 @p147) :args (@t149 @t153 @t154)) % 0.40/0.69 (step @p157 :rule bool-double-not-elim :args (@t147)) % 0.40/0.69 (step @p158 :rule nary_cong :premises (@p151 @p157) :args ((or @t152 (not @t148)))) % 0.40/0.69 (step @p159 :rule cnf_or_neg :args (@t152 2)) % 0.40/0.69 (step @p160 :rule eq_resolve :premises (@p159 @p158)) % 0.40/0.69 (step @p161 :rule reordering :premises (@p160) :args ((or @t147 @t152))) % 0.40/0.69 (step @p162 :rule chain_m_resolution :premises (@p161 @p147) :args (@t147 @t153 @t154)) % 0.40/0.69 (step @p163 :rule cnf_or_neg :args (@t152 3)) % 0.40/0.69 (step @p164 :rule chain_m_resolution :premises (@p163 @p147) :args ((not @t146) @t153 @t154)) % 0.40/0.69 (step @p165 :rule aci_norm :args ((= @t162 (or @t13 @t115 @t114 @t160 @t159 @t158)))) % 0.40/0.69 (step @p166 :rule cong :premises (@p165) :args (@t163)) % 0.40/0.69 (step @p167 :rule quant-merge-prenex :args ((= (forall @t17 @t165) @t163))) % 0.40/0.69 (step @p168 :rule alpha_equiv :args (@t166 (@list @t155) @t124)) % 0.40/0.69 (step @p169 :rule nary_cong :premises (@p96 @p95 @p94 @p168) :args (@t167)) % 0.40/0.69 (step @p170 :rule quant-miniscope-or :args ((= @t165 @t167))) % 0.40/0.69 (step @p171 :rule trans :premises (@p170 @p169)) % 0.40/0.69 (step @p172 :rule symm :premises (@p171)) % 0.40/0.69 (step @p173 :rule cong :premises (@p172) :args ((forall @t17 @t178))) % 0.40/0.69 (step @p174 :rule trans :premises (@p173 @p167)) % 0.40/0.69 (step @p175 :rule trans :premises (@p174 @p166)) % 0.40/0.69 (step @p176 :rule aci_norm :args ((= (or @t130 @t177) @t178))) % 0.40/0.69 (step @p177 :rule refl :args (@t177)) % 0.40/0.69 (step @p178 :rule nary_cong :premises (@p115 @p177) :args ((or @t133 @t177))) % 0.40/0.69 (step @p179 :rule trans :premises (@p178 @p176)) % 0.40/0.69 (step @p180 :rule bool-impl-elim :args (@t15 @t177)) % 0.40/0.69 (step @p181 :rule trans :premises (@p180 @p179)) % 0.40/0.69 (step @p182 :rule cong :premises (@p181) :args ((forall @t17 (=> @t15 @t177)))) % 0.40/0.69 (step @p183 :rule trans :premises (@p182 @p175)) % 0.40/0.69 (step @p184 :rule aci_norm :args ((= (or (or @t6 @t175) @t174) @t176))) % 0.40/0.69 (step @p185 :rule refl :args (@t174)) % 0.40/0.69 (step @p186 :rule refl :args (@t175)) % 0.40/0.69 (step @p187 :rule nary_cong :premises (@p126 @p186) :args ((or @t135 @t175))) % 0.40/0.69 (step @p188 :rule bool-and-de-morgan :args (@t7 @t37 true)) % 0.40/0.69 (step @p189 :rule trans :premises (@p188 @p187)) % 0.40/0.69 (step @p190 :rule nary_cong :premises (@p189 @p185) :args ((or (not @t89) @t174))) % 0.40/0.69 (step @p191 :rule trans :premises (@p190 @p184)) % 0.40/0.69 (step @p192 :rule bool-impl-elim :args (@t89 @t174)) % 0.40/0.69 (step @p193 :rule trans :premises (@p192 @p191)) % 0.40/0.69 (step @p194 :rule cong :premises (@p193) :args ((forall @t9 (=> @t89 @t174)))) % 0.40/0.69 (step @p195 :rule aci_norm :args ((= (or @t157 (or @t171 (or @t170 (or @t169 @t168)))) @t172))) % 0.40/0.69 (step @p196 :rule bool-and-de-morgan :args (@t81 @t79 true)) % 0.40/0.69 (step @p197 :rule refl :args (@t170)) % 0.40/0.69 (step @p198 :rule nary_cong :premises (@p197 @p196) :args ((or @t170 (not (and @t81 @t79))))) % 0.40/0.69 (step @p199 :rule bool-and-de-morgan :args (@t82 @t81 (and @t79))) % 0.40/0.69 (step @p200 :rule trans :premises (@p199 @p198)) % 0.40/0.69 (step @p201 :rule refl :args (@t171)) % 0.40/0.69 (step @p202 :rule nary_cong :premises (@p201 @p200) :args ((or @t171 (not (and @t82 @t81 @t79))))) % 0.40/0.69 (step @p203 :rule bool-and-de-morgan :args (@t83 @t82 (and @t81 @t79))) % 0.40/0.69 (step @p204 :rule trans :premises (@p203 @p202)) % 0.40/0.69 (step @p205 :rule refl :args (@t157)) % 0.40/0.69 (step @p206 :rule nary_cong :premises (@p205 @p204) :args ((or @t157 (not (and @t83 @t82 @t81 @t79))))) % 0.40/0.69 (step @p207 :rule bool-and-de-morgan :args (@t84 @t83 (and @t82 @t81 @t79))) % 0.40/0.69 (step @p208 :rule trans :premises (@p207 @p206)) % 0.40/0.69 (step @p209 :rule trans :premises (@p208 @p195)) % 0.40/0.69 (step @p210 :rule cong :premises (@p209) :args (@t179)) % 0.40/0.69 (step @p211 :rule cong :premises (@p210) :args (@t180)) % 0.40/0.69 (step @p212 :rule exists-elim :args ((= @t87 @t180))) % 0.40/0.69 (step @p213 :rule trans :premises (@p212 @p211)) % 0.40/0.69 (step @p214 :rule refl :args (@t3)) % 0.40/0.69 (step @p215 :rule cong :premises (@p214 @p213) :args (@t88)) % 0.40/0.69 (step @p216 :rule refl :args (@t89)) % 0.40/0.69 (step @p217 :rule cong :premises (@p216 @p215) :args (@t90)) % 0.40/0.69 (step @p218 :rule cong :premises (@p217) :args (@t91)) % 0.40/0.69 (step @p219 :rule trans :premises (@p218 @p194)) % 0.40/0.69 (step @p220 :rule cong :premises (@p141 @p219) :args (@t92)) % 0.40/0.69 (step @p221 :rule cong :premises (@p220) :args (@t93)) % 0.40/0.69 (step @p222 :rule trans :premises (@p221 @p183)) % 0.40/0.69 (step @p223 :rule eq_resolve :premises (@p49 @p222)) % 0.40/0.69 (step @p224 :rule instantiate :premises (@p223) :args (@t181)) % 0.40/0.69 (step @p225 :rule quant-merge-prenex :args ((= (forall @t17 @t186) (forall (@list @t2 @t182) @t184)))) % 0.40/0.69 (step @p226 :rule alpha_equiv :args (@t187 (@list @t182) @t124)) % 0.40/0.69 (step @p227 :rule nary_cong :premises (@p94 @p226) :args (@t188)) % 0.40/0.69 (step @p228 :rule quant-miniscope-or :args ((= @t186 @t188))) % 0.40/0.69 (step @p229 :rule trans :premises (@p228 @p227)) % 0.40/0.69 (step @p230 :rule symm :premises (@p229)) % 0.40/0.69 (step @p231 :rule cong :premises (@p230) :args ((forall @t17 (or @t114 @t101)))) % 0.40/0.69 (step @p232 :rule trans :premises (@p231 @p225)) % 0.40/0.69 (step @p233 :rule bool-impl-elim :args (@t11 @t101)) % 0.40/0.69 (step @p234 :rule cong :premises (@p233) :args (@t102)) % 0.40/0.69 (step @p235 :rule trans :premises (@p234 @p232)) % 0.40/0.69 (step @p236 :rule eq_resolve :premises (@p79 @p235)) % 0.40/0.69 (step @p237 :rule instantiate :premises (@p236) :args (@t181)) % 0.40/0.69 (step @p238 :rule cnf_or_pos :args (@t191)) % 0.40/0.69 (step @p239 :rule reordering :premises (@p238) :args ((or @t148 @t190 (not @t191)))) % 0.40/0.69 (step @p240 :rule chain_m_resolution :premises (@p239 @p162 @p237) :args (@t190 @t192 (@list @t147 @t191))) % 0.40/0.69 (step @p241 :rule bool-double-not-elim :args (@t142)) % 0.40/0.69 (step @p242 :rule nary_cong :premises (@p151 @p241) :args ((or @t152 (not @t143)))) % 0.40/0.69 (step @p243 :rule cnf_or_neg :args (@t152 5)) % 0.40/0.69 (step @p244 :rule eq_resolve :premises (@p243 @p242)) % 0.40/0.69 (step @p245 :rule reordering :premises (@p244) :args ((or @t142 @t152))) % 0.40/0.69 (step @p246 :rule chain_m_resolution :premises (@p245 @p147) :args (@t142 @t153 @t154)) % 0.40/0.69 (step @p247 :rule cnf_equiv_pos1 :args (@t190)) % 0.40/0.69 (step @p248 :rule reordering :premises (@p247) :args ((or @t143 @t189 (not @t190)))) % 0.40/0.69 (step @p249 :rule chain_m_resolution :premises (@p248 @p246 @p240) :args (@t189 @t192 (@list @t142 @t190))) % 0.40/0.69 (step @p250 :rule aci_norm :args ((= @t200 (or @t13 @t115 @t114 @t198 @t197 @t196 @t195)))) % 0.40/0.69 (step @p251 :rule cong :premises (@p250) :args (@t201)) % 0.40/0.69 (step @p252 :rule quant-merge-prenex :args ((= (forall @t17 @t203) @t201))) % 0.40/0.69 (step @p253 :rule alpha_equiv :args (@t204 (@list @t193) @t124)) % 0.40/0.69 (step @p254 :rule nary_cong :premises (@p96 @p95 @p94 @p253) :args (@t205)) % 0.40/0.69 (step @p255 :rule quant-miniscope-or :args ((= @t203 @t205))) % 0.40/0.69 (step @p256 :rule trans :premises (@p255 @p254)) % 0.40/0.69 (step @p257 :rule symm :premises (@p256)) % 0.40/0.69 (step @p258 :rule cong :premises (@p257) :args ((forall @t17 @t208))) % 0.40/0.69 (step @p259 :rule trans :premises (@p258 @p252)) % 0.40/0.69 (step @p260 :rule trans :premises (@p259 @p251)) % 0.40/0.69 (step @p261 :rule aci_norm :args ((= (or @t130 @t207) @t208))) % 0.40/0.69 (step @p262 :rule refl :args (@t207)) % 0.40/0.69 (step @p263 :rule nary_cong :premises (@p115 @p262) :args ((or @t133 @t207))) % 0.40/0.69 (step @p264 :rule trans :premises (@p263 @p261)) % 0.40/0.69 (step @p265 :rule bool-impl-elim :args (@t15 @t207)) % 0.40/0.69 (step @p266 :rule trans :premises (@p265 @p264)) % 0.40/0.69 (step @p267 :rule cong :premises (@p266) :args ((forall @t17 (=> @t15 @t207)))) % 0.40/0.69 (step @p268 :rule trans :premises (@p267 @p260)) % 0.40/0.69 (step @p269 :rule aci_norm :args ((= (or @t134 @t173) @t206))) % 0.40/0.69 (step @p270 :rule refl :args (@t173)) % 0.40/0.69 (step @p271 :rule nary_cong :premises (@p135 @p270) :args ((or @t137 @t173))) % 0.40/0.69 (step @p272 :rule trans :premises (@p271 @p269)) % 0.40/0.69 (step @p273 :rule bool-impl-elim :args (@t8 @t173)) % 0.40/0.69 (step @p274 :rule trans :premises (@p273 @p272)) % 0.40/0.69 (step @p275 :rule cong :premises (@p274) :args ((forall @t9 (=> @t8 @t173)))) % 0.40/0.69 (step @p276 :rule refl :args (@t8)) % 0.40/0.69 (step @p277 :rule cong :premises (@p276 @p213) :args (@t104)) % 0.40/0.69 (step @p278 :rule cong :premises (@p277) :args (@t105)) % 0.40/0.69 (step @p279 :rule trans :premises (@p278 @p275)) % 0.40/0.69 (step @p280 :rule cong :premises (@p141 @p279) :args (@t106)) % 0.40/0.69 (step @p281 :rule cong :premises (@p280) :args (@t107)) % 0.40/0.69 (step @p282 :rule trans :premises (@p281 @p268)) % 0.40/0.69 (step @p283 :rule eq_resolve :premises (@p82 @p282)) % 0.40/0.69 (step @p284 :rule instantiate :premises (@p283) :args (@t181)) % 0.40/0.69 (step @p285 :rule bool-double-not-elim :args (@t144)) % 0.40/0.69 (step @p286 :rule nary_cong :premises (@p151 @p285) :args ((or @t152 (not @t145)))) % 0.40/0.69 (step @p287 :rule cnf_or_neg :args (@t152 4)) % 0.40/0.69 (step @p288 :rule eq_resolve :premises (@p287 @p286)) % 0.40/0.69 (step @p289 :rule reordering :premises (@p288) :args ((or @t144 @t152))) % 0.40/0.69 (step @p290 :rule chain_m_resolution :premises (@p289 @p147) :args (@t144 @t153 @t154)) % 0.40/0.69 (step @p291 :rule cnf_or_pos :args (@t213)) % 0.40/0.69 (step @p292 :rule reordering :premises (@p291) :args ((or @t151 @t150 @t148 @t146 @t145 @t143 @t212 (not @t213)))) % 0.40/0.69 (step @p293 :rule chain_m_resolution :premises (@p292 @p149 @p156 @p162 @p164 @p290 @p246 @p284) :args (@t212 (@list true false false true false false false) (@list @t151 @t149 @t147 @t146 @t144 @t142 @t213))) % 0.40/0.69 (step @p294 :rule cnf_or_neg :args (@t152 6)) % 0.40/0.69 (step @p295 :rule chain_m_resolution :premises (@p294 @p147) :args ((not @t141) @t153 @t154)) % 0.40/0.69 (step @p296 :rule bool-double-not-elim :args (@t211)) % 0.40/0.69 (step @p297 :rule refl :args (@t141)) % 0.40/0.69 (step @p298 :rule refl :args (@t215)) % 0.40/0.69 (step @p299 :rule nary_cong :premises (@p298 @p297 @p296) :args ((or @t215 @t141 (not @t212)))) % 0.40/0.69 (step @p300 :rule cnf_equiv_pos2 :args (@t214)) % 0.40/0.69 (step @p301 :rule eq_resolve :premises (@p300 @p299)) % 0.40/0.69 (step @p302 :rule reordering :premises (@p301) :args ((or @t141 @t211 @t215))) % 0.40/0.69 (step @p303 :rule chain_m_resolution :premises (@p302 @p295 @p293) :args (@t215 (@list true true) (@list @t141 @t211))) % 0.40/0.69 (step @p304 :rule cnf_or_pos :args (@t217)) % 0.40/0.69 (step @p305 :rule reordering :premises (@p304) :args ((or @t151 @t150 @t148 @t146 @t216 @t214 (not @t217)))) % 0.40/0.69 (step @p306 false :rule chain_m_resolution :premises (@p305 @p303 @p249 @p224 @p164 @p162 @p156 @p149) :args (false (@list true false false true false false true) (@list @t214 @t189 @t217 @t146 @t147 @t149 @t151))) % 0.40/0.69 ) % 0.40/0.69 % SZS output end Proof % 0.40/0.70 % cvc5 exiting %------------------------------------------------------------------------------