%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : TOP042+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 : n026.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 09:15:51 AM UTC 2026 % Result : Theorem 2.52s 2.74s % Output : Proof 2.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : TOP042+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 % 0.18/0.35 % Computer : n026.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 01:25:40 EDT 2026 % 0.18/0.35 % CPUTime : % 0.26/0.53 %----Proving TF0_NAR, FOF, or CNF % 2.52/2.74 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 2.52/2.74 % SZS status Theorem % 2.52/2.74 % SZS output start Proof % 2.52/2.74 ( % 2.52/2.74 (declare-sort $$unsorted 0) % 2.52/2.74 (declare-const tptp.k9_relat_1 (-> $$unsorted $$unsorted $$unsorted)) % 2.52/2.74 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 2.52/2.74 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.52/2.74 (declare-const tptp.k5_subset_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.52/2.74 (declare-const tptp.k1_xboole_0 $$unsorted) % 2.52/2.74 (declare-const tptp.v4_tdlat_3 (-> $$unsorted Bool)) % 2.52/2.74 (declare-const tptp.k1_tsp_2 (-> $$unsorted $$unsorted $$unsorted)) % 2.52/2.74 (declare-const tptp.v5_tdlat_3 (-> $$unsorted Bool)) % 2.52/2.74 (declare-const tptp.v1_tsep_1 (-> $$unsorted $$unsorted Bool)) % 2.52/2.74 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 2.52/2.74 (declare-const tptp.v1_tex_3 (-> $$unsorted $$unsorted Bool)) % 2.52/2.74 (declare-const tptp.v2_tops_1 (-> $$unsorted $$unsorted Bool)) % 2.52/2.74 (declare-const tptp.v3_pre_topc (-> $$unsorted $$unsorted Bool)) % 2.52/2.74 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 2.52/2.74 (declare-const tptp.k3_xboole_0 (-> $$unsorted $$unsorted $$unsorted)) % 2.52/2.74 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 2.52/2.74 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 2.52/2.74 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 2.52/2.74 (declare-const tptp.l1_pre_topc (-> $$unsorted Bool)) % 2.52/2.74 (declare-const tptp.v3_tdlat_3 (-> $$unsorted Bool)) % 2.52/2.74 (declare-const tptp.k3_tex_4 (-> $$unsorted $$unsorted $$unsorted)) % 2.52/2.74 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 2.52/2.74 (declare-const tptp.v3_realset2 (-> $$unsorted Bool)) % 2.52/2.74 (declare-const tptp.v4_ordinal2 (-> $$unsorted Bool)) % 2.52/2.74 (declare-const tptp.v2_tsp_2 (-> $$unsorted $$unsorted Bool)) % 2.52/2.74 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.52/2.74 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 2.52/2.74 (declare-const tptp.m2_tsp_1 (-> $$unsorted $$unsorted Bool)) % 2.52/2.74 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 2.52/2.74 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.52/2.74 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 2.52/2.74 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 2.52/2.74 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 2.52/2.74 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 2.52/2.74 (declare-const tptp.v1_borsuk_1 (-> $$unsorted $$unsorted Bool)) % 2.52/2.74 (declare-const tptp.v4_pre_topc (-> $$unsorted $$unsorted Bool)) % 2.52/2.74 (declare-const tptp.v2_pre_topc (-> $$unsorted Bool)) % 2.52/2.74 (declare-const tptp.v2_tdlat_3 (-> $$unsorted Bool)) % 2.52/2.74 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 2.52/2.74 (declare-const tptp.k4_tsp_2 (-> $$unsorted $$unsorted $$unsorted)) % 2.52/2.74 (declare-const tptp.k4_pre_topc (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.52/2.74 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 2.52/2.74 (declare-const tptp.v2_tex_2 (-> $$unsorted $$unsorted Bool)) % 2.52/2.74 (declare-const tptp.v1_tdlat_3 (-> $$unsorted Bool)) % 2.52/2.74 (declare-const tptp.v2_t_0topsp (-> $$unsorted Bool)) % 2.52/2.74 (declare-const tptp.v3_tops_1 (-> $$unsorted $$unsorted Bool)) % 2.52/2.74 (declare-const tptp.m1_pre_topc (-> $$unsorted $$unsorted Bool)) % 2.52/2.74 (declare-const tptp.v5_pre_topc (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.52/2.74 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 2.52/2.74 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 2.52/2.74 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 2.52/2.74 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 2.52/2.74 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 2.52/2.74 (define @t1 () (@var "B" $$unsorted)) % 2.52/2.74 (define @t2 () (@var "C" $$unsorted)) % 2.52/2.74 (define @t3 () (@var "A" $$unsorted)) % 2.52/2.74 (define @t4 () (tptp.k4_tsp_2 @t3 @t1)) % 2.52/2.74 (define @t5 () (tptp.v4_pre_topc (tptp.k4_pre_topc @t3 @t1 @t4 @t2) @t1)) % 2.52/2.74 (define @t6 () (tptp.v4_pre_topc @t2 @t3)) % 2.52/2.74 (define @t7 () (=> @t6 @t5)) % 2.52/2.74 (define @t8 () (tptp.u1_struct_0 @t3)) % 2.52/2.74 (define @t9 () (tptp.k1_zfmisc_1 @t8)) % 2.52/2.74 (define @t10 () (tptp.m1_subset_1 @t2 @t9)) % 2.52/2.74 (define @t11 () (@list @t2)) % 2.52/2.74 (define @t12 () (forall @t11 (=> @t10 @t7))) % 2.52/2.74 (define @t13 () (tptp.m2_tsp_1 @t1 @t3)) % 2.52/2.74 (define @t14 () (tptp.v2_tsp_2 @t1 @t3)) % 2.52/2.74 (define @t15 () (tptp.v3_struct_0 @t1)) % 2.52/2.74 (define @t16 () (not @t15)) % 2.52/2.74 (define @t17 () (and @t16 @t14 @t13)) % 2.52/2.74 (define @t18 () (=> @t17 @t12)) % 2.52/2.74 (define @t19 () (@list @t1)) % 2.52/2.74 (define @t20 () (forall @t19 @t18)) % 2.52/2.74 (define @t21 () (tptp.l1_pre_topc @t3)) % 2.52/2.74 (define @t22 () (tptp.v2_pre_topc @t3)) % 2.52/2.74 (define @t23 () (tptp.v3_struct_0 @t3)) % 2.52/2.74 (define @t24 () (not @t23)) % 2.52/2.74 (define @t25 () (and @t24 @t22 @t21)) % 2.52/2.74 (define @t26 () (=> @t25 @t20)) % 2.52/2.74 (define @t27 () (@list @t3)) % 2.52/2.74 (define @t28 () (forall @t27 @t26)) % 2.52/2.74 (define @t29 () (not @t28)) % 2.52/2.74 (define @t30 () (tptp.r2_hidden @t3 @t1)) % 2.52/2.74 (define @t31 () (@list @t3 @t1)) % 2.52/2.74 (define @t32 () (tptp.v1_xcmplx_0 @t1)) % 2.52/2.74 (define @t33 () (tptp.m1_subset_1 @t1 @t3)) % 2.52/2.74 (define @t34 () (tptp.v1_membered @t3)) % 2.52/2.74 (define @t35 () (tptp.v3_tdlat_3 @t3)) % 2.52/2.74 (define @t36 () (tptp.v2_tdlat_3 @t3)) % 2.52/2.74 (define @t37 () (not @t36)) % 2.52/2.74 (define @t38 () (tptp.v1_tdlat_3 @t3)) % 2.52/2.74 (define @t39 () (not @t38)) % 2.52/2.74 (define @t40 () (tptp.v3_realset2 @t3)) % 2.52/2.74 (define @t41 () (not @t40)) % 2.52/2.74 (define @t42 () (tptp.v2_t_0topsp @t3)) % 2.52/2.74 (define @t43 () (tptp.v1_borsuk_1 @t1 @t3)) % 2.52/2.74 (define @t44 () (tptp.v2_pre_topc @t1)) % 2.52/2.74 (define @t45 () (tptp.v2_tex_2 @t1 @t3)) % 2.52/2.74 (define @t46 () (and @t45 @t14)) % 2.52/2.74 (define @t47 () (tptp.m1_pre_topc @t1 @t3)) % 2.52/2.74 (define @t48 () (tptp.v1_xreal_0 @t1)) % 2.52/2.74 (define @t49 () (tptp.v2_membered @t3)) % 2.52/2.74 (define @t50 () (tptp.v2_t_0topsp @t1)) % 2.52/2.74 (define @t51 () (and @t16 @t50)) % 2.52/2.74 (define @t52 () (tptp.v1_rat_1 @t1)) % 2.52/2.74 (define @t53 () (tptp.v3_membered @t3)) % 2.52/2.74 (define @t54 () (not @t50)) % 2.52/2.74 (define @t55 () (not @t45)) % 2.52/2.74 (define @t56 () (not @t42)) % 2.52/2.74 (define @t57 () (and @t24 @t22 @t56 @t21)) % 2.52/2.74 (define @t58 () (tptp.v1_int_1 @t1)) % 2.52/2.74 (define @t59 () (tptp.v4_membered @t3)) % 2.52/2.74 (define @t60 () (tptp.v5_membered @t3)) % 2.52/2.74 (define @t61 () (tptp.v1_xboole_0 @t3)) % 2.52/2.74 (define @t62 () (tptp.v1_membered @t1)) % 2.52/2.74 (define @t63 () (tptp.k1_zfmisc_1 @t3)) % 2.52/2.74 (define @t64 () (tptp.m1_subset_1 @t1 @t63)) % 2.52/2.74 (define @t65 () (tptp.v2_membered @t1)) % 2.52/2.74 (define @t66 () (tptp.v3_membered @t1)) % 2.52/2.74 (define @t67 () (tptp.v4_membered @t1)) % 2.52/2.74 (define @t68 () (and @t22 @t21)) % 2.52/2.74 (define @t69 () (tptp.k2_zfmisc_1 @t3 @t1)) % 2.52/2.74 (define @t70 () (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t69))) % 2.52/2.74 (define @t71 () (@list @t3 @t1 @t2)) % 2.52/2.74 (define @t72 () (tptp.v4_pre_topc @t1 @t3)) % 2.52/2.74 (define @t73 () (tptp.v3_pre_topc @t1 @t3)) % 2.52/2.74 (define @t74 () (tptp.v1_xboole_0 @t1)) % 2.52/2.74 (define @t75 () (tptp.m1_subset_1 @t1 @t9)) % 2.52/2.74 (define @t76 () (and @t24 @t21)) % 2.52/2.74 (define @t77 () (tptp.v5_membered @t1)) % 2.52/2.74 (define @t78 () (tptp.v2_tops_1 @t1 @t3)) % 2.52/2.74 (define @t79 () (not @t14)) % 2.52/2.74 (define @t80 () (tptp.v3_tops_1 @t1 @t3)) % 2.52/2.74 (define @t81 () (tptp.v1_tex_3 @t1 @t3)) % 2.52/2.74 (define @t82 () (and @t44 @t79)) % 2.52/2.74 (define @t83 () (and @t44 @t55)) % 2.52/2.74 (define @t84 () (tptp.v1_tsep_1 @t1 @t3)) % 2.52/2.74 (define @t85 () (tptp.v5_tdlat_3 @t3)) % 2.52/2.74 (define @t86 () (tptp.v4_tdlat_3 @t3)) % 2.52/2.74 (define @t87 () (tptp.k3_xboole_0 @t1 @t3)) % 2.52/2.74 (define @t88 () (tptp.k3_xboole_0 @t3 @t1)) % 2.52/2.74 (define @t89 () (tptp.k5_subset_1 @t3 @t1 @t2)) % 2.52/2.74 (define @t90 () (tptp.m1_subset_1 @t2 @t63)) % 2.52/2.74 (define @t91 () (and @t64 @t90)) % 2.52/2.74 (define @t92 () (@var "E" $$unsorted)) % 2.52/2.74 (define @t93 () (@var "D" $$unsorted)) % 2.52/2.74 (define @t94 () (= (tptp.k5_subset_1 @t8 @t93 (tptp.k3_tex_4 @t3 @t92)) (tptp.k4_pre_topc @t3 @t1 @t2 @t92))) % 2.52/2.74 (define @t95 () (tptp.m1_subset_1 @t92 @t9)) % 2.52/2.74 (define @t96 () (@list @t92)) % 2.52/2.74 (define @t97 () (forall @t96 (=> @t95 @t94))) % 2.52/2.74 (define @t98 () (tptp.u1_struct_0 @t1)) % 2.52/2.74 (define @t99 () (= @t93 @t98)) % 2.52/2.74 (define @t100 () (=> @t99 @t97)) % 2.52/2.74 (define @t101 () (tptp.m1_subset_1 @t93 @t9)) % 2.52/2.74 (define @t102 () (=> @t101 @t100)) % 2.52/2.74 (define @t103 () (@list @t93)) % 2.52/2.74 (define @t104 () (forall @t103 @t102)) % 2.52/2.74 (define @t105 () (= @t2 @t4)) % 2.52/2.74 (define @t106 () (= @t105 @t104)) % 2.52/2.74 (define @t107 () (tptp.m2_relset_1 @t2 @t8 @t98)) % 2.52/2.74 (define @t108 () (tptp.v5_pre_topc @t2 @t3 @t1)) % 2.52/2.74 (define @t109 () (tptp.v1_funct_2 @t2 @t8 @t98)) % 2.52/2.74 (define @t110 () (tptp.v1_funct_1 @t2)) % 2.52/2.74 (define @t111 () (and @t110 @t109 @t108 @t107)) % 2.52/2.74 (define @t112 () (=> @t111 @t106)) % 2.52/2.74 (define @t113 () (forall @t11 @t112)) % 2.52/2.74 (define @t114 () (=> @t17 @t113)) % 2.52/2.74 (define @t115 () (forall @t19 @t114)) % 2.52/2.74 (define @t116 () (=> @t25 @t115)) % 2.52/2.74 (define @t117 () (forall @t27 @t116)) % 2.52/2.74 (define @t118 () (= @t2 (tptp.k3_xboole_0 @t93 @t98))) % 2.52/2.74 (define @t119 () (tptp.v4_pre_topc @t93 @t3)) % 2.52/2.74 (define @t120 () (and @t101 @t119 @t118)) % 2.52/2.74 (define @t121 () (exists @t103 @t120)) % 2.52/2.74 (define @t122 () (tptp.v4_pre_topc @t2 @t1)) % 2.52/2.74 (define @t123 () (= @t122 @t121)) % 2.52/2.74 (define @t124 () (tptp.k1_zfmisc_1 @t98)) % 2.52/2.74 (define @t125 () (tptp.m1_subset_1 @t2 @t124)) % 2.52/2.74 (define @t126 () (=> @t125 @t123)) % 2.52/2.74 (define @t127 () (forall @t11 @t126)) % 2.52/2.74 (define @t128 () (tptp.r1_tarski @t98 @t8)) % 2.52/2.74 (define @t129 () (and @t128 @t127)) % 2.52/2.74 (define @t130 () (= @t13 @t129)) % 2.52/2.74 (define @t131 () (tptp.l1_pre_topc @t1)) % 2.52/2.74 (define @t132 () (=> @t131 @t130)) % 2.52/2.74 (define @t133 () (forall @t19 @t132)) % 2.52/2.74 (define @t134 () (=> @t21 @t133)) % 2.52/2.74 (define @t135 () (forall @t27 @t134)) % 2.52/2.74 (define @t136 () (tptp.k1_tsp_2 @t3 @t1)) % 2.52/2.74 (define @t137 () (and (tptp.v1_funct_1 @t136) (tptp.v1_funct_2 @t136 @t8 @t98) (tptp.v5_pre_topc @t136 @t3 @t1) (tptp.m2_relset_1 @t136 @t8 @t98))) % 2.52/2.74 (define @t138 () (and @t24 @t22 @t21 @t16 @t14 @t47)) % 2.52/2.74 (define @t139 () (forall @t31 (=> @t138 @t137))) % 2.52/2.74 (define @t140 () (tptp.k3_tex_4 @t3 @t1)) % 2.52/2.74 (define @t141 () (tptp.k4_pre_topc @t3 @t1 @t2 @t93)) % 2.52/2.74 (define @t142 () (tptp.m1_subset_1 @t141 @t124)) % 2.52/2.74 (define @t143 () (tptp.m1_relset_1 @t2 @t8 @t98)) % 2.52/2.74 (define @t144 () (tptp.l1_struct_0 @t1)) % 2.52/2.74 (define @t145 () (tptp.l1_struct_0 @t3)) % 2.52/2.74 (define @t146 () (and @t145 @t144 @t110 @t109 @t143)) % 2.52/2.74 (define @t147 () (@list @t3 @t1 @t2 @t93)) % 2.52/2.74 (define @t148 () (forall @t147 (=> @t146 @t142))) % 2.52/2.74 (define @t149 () (and (tptp.v1_funct_1 @t4) (tptp.v1_funct_2 @t4 @t8 @t98) (tptp.v5_pre_topc @t4 @t3 @t1) (tptp.m2_relset_1 @t4 @t8 @t98))) % 2.52/2.74 (define @t150 () (forall @t31 (=> @t138 @t149))) % 2.52/2.74 (define @t151 () (forall @t27 (=> @t21 @t145))) % 2.52/2.74 (define @t152 () (tptp.m2_relset_1 @t2 @t3 @t1)) % 2.52/2.74 (define @t153 () (forall @t19 (=> @t13 @t131))) % 2.52/2.74 (define @t154 () (=> @t21 @t153)) % 2.52/2.74 (define @t155 () (forall @t27 @t154)) % 2.52/2.74 (define @t156 () (tptp.m1_relset_1 @t2 @t3 @t1)) % 2.52/2.74 (define @t157 () (and @t24 @t145)) % 2.52/2.74 (define @t158 () (tptp.v1_membered @t88)) % 2.52/2.74 (define @t159 () (tptp.v1_membered @t87)) % 2.52/2.74 (define @t160 () (tptp.v2_membered @t88)) % 2.52/2.74 (define @t161 () (tptp.v2_membered @t87)) % 2.52/2.74 (define @t162 () (tptp.v3_membered @t88)) % 2.52/2.74 (define @t163 () (tptp.v3_membered @t87)) % 2.52/2.74 (define @t164 () (tptp.v4_membered @t88)) % 2.52/2.74 (define @t165 () (tptp.v4_membered @t87)) % 2.52/2.74 (define @t166 () (not @t74)) % 2.52/2.74 (define @t167 () (not @t61)) % 2.52/2.74 (define @t168 () (= @t4 @t136)) % 2.52/2.74 (define @t169 () (forall @t31 (=> @t138 @t168))) % 2.52/2.74 (define @t170 () (= @t89 (tptp.k3_xboole_0 @t1 @t2))) % 2.52/2.74 (define @t171 () (forall @t71 (=> @t91 @t170))) % 2.52/2.74 (define @t172 () (forall @t71 (= @t152 @t156))) % 2.52/2.74 (define @t173 () (forall @t19 (= @t13 @t47))) % 2.52/2.74 (define @t174 () (forall @t27 (=> @t21 @t173))) % 2.52/2.74 (define @t175 () (tptp.m1_subset_1 @t3 @t1)) % 2.52/2.74 (define @t176 () (tptp.m1_subset_1 @t98 @t9)) % 2.52/2.74 (define @t177 () (forall @t19 (=> @t47 @t176))) % 2.52/2.74 (define @t178 () (=> @t21 @t177)) % 2.52/2.74 (define @t179 () (forall @t27 @t178)) % 2.52/2.74 (define @t180 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t2))) % 2.52/2.74 (define @t181 () (=> @t72 (= @t140 @t1))) % 2.52/2.74 (define @t182 () (=> @t75 @t181)) % 2.52/2.74 (define @t183 () (forall @t19 @t182)) % 2.52/2.74 (define @t184 () (=> @t25 @t183)) % 2.52/2.74 (define @t185 () (forall @t27 @t184)) % 2.52/2.74 (define @t186 () (@var "BOUND_VARIABLE_9507" $$unsorted)) % 2.52/2.74 (define @t187 () (= @t186 (tptp.k3_tex_4 @t3 @t186))) % 2.52/2.74 (define @t188 () (not (tptp.v4_pre_topc @t186 @t3))) % 2.52/2.74 (define @t189 () (not (tptp.m1_subset_1 @t186 @t9))) % 2.52/2.74 (define @t190 () (not @t21)) % 2.52/2.74 (define @t191 () (not @t22)) % 2.52/2.74 (define @t192 () (or @t189 @t188 @t187)) % 2.52/2.74 (define @t193 () (or @t23 @t191 @t190 @t192)) % 2.52/2.74 (define @t194 () (forall (@list @t3 @t186) @t193)) % 2.52/2.74 (define @t195 () (@list @t186)) % 2.52/2.74 (define @t196 () (forall @t195 @t193)) % 2.52/2.74 (define @t197 () (forall @t195 @t192)) % 2.52/2.74 (define @t198 () (@list @t1)) % 2.52/2.74 (define @t199 () (or @t23 @t191 @t190 @t197)) % 2.52/2.74 (define @t200 () (= @t1 @t140)) % 2.52/2.74 (define @t201 () (not @t72)) % 2.52/2.74 (define @t202 () (not @t75)) % 2.52/2.74 (define @t203 () (or @t202 @t201 @t200)) % 2.52/2.74 (define @t204 () (forall @t19 @t203)) % 2.52/2.74 (define @t205 () (or @t23 @t191 @t190 @t204)) % 2.52/2.74 (define @t206 () (or @t23 @t191 @t190)) % 2.52/2.74 (define @t207 () (not @t24)) % 2.52/2.74 (define @t208 () (or @t207 @t191 @t190)) % 2.52/2.74 (define @t209 () (not @t25)) % 2.52/2.74 (define @t210 () (=> @t72 @t200)) % 2.52/2.74 (define @t211 () (@var "BOUND_VARIABLE_8130" $$unsorted)) % 2.52/2.74 (define @t212 () (@var "BOUND_VARIABLE_8132" $$unsorted)) % 2.52/2.74 (define @t213 () (tptp.v4_pre_topc (tptp.k4_pre_topc @t3 @t211 (tptp.k4_tsp_2 @t3 @t211) @t212) @t211)) % 2.52/2.74 (define @t214 () (not (tptp.v4_pre_topc @t212 @t3))) % 2.52/2.74 (define @t215 () (not (tptp.m1_subset_1 @t212 @t9))) % 2.52/2.74 (define @t216 () (not (tptp.m2_tsp_1 @t211 @t3))) % 2.52/2.74 (define @t217 () (not (tptp.v2_tsp_2 @t211 @t3))) % 2.52/2.74 (define @t218 () (tptp.v3_struct_0 @t211)) % 2.52/2.74 (define @t219 () (or @t23 @t191 @t190 @t218 @t217 @t216 @t215 @t214 @t213)) % 2.52/2.74 (define @t220 () (@list @t3 @t211 @t212)) % 2.52/2.74 (define @t221 () (forall @t220 @t219)) % 2.52/2.74 (define @t222 () (@quantifiers_skolemize @t221 2)) % 2.52/2.74 (define @t223 () (@quantifiers_skolemize @t221 0)) % 2.52/2.74 (define @t224 () (or @t218 @t217 @t216 @t215 @t214 @t213)) % 2.52/2.74 (define @t225 () (or @t23 @t191 @t190 @t224)) % 2.52/2.74 (define @t226 () (forall @t220 @t225)) % 2.52/2.74 (define @t227 () (@list @t211 @t212)) % 2.52/2.74 (define @t228 () (forall @t227 @t225)) % 2.52/2.74 (define @t229 () (forall @t227 @t224)) % 2.52/2.74 (define @t230 () (@var "BOUND_VARIABLE_8108" $$unsorted)) % 2.52/2.74 (define @t231 () (or @t23 @t191 @t190 @t229)) % 2.52/2.74 (define @t232 () (tptp.v4_pre_topc (tptp.k4_pre_topc @t3 @t1 @t4 @t230) @t1)) % 2.52/2.74 (define @t233 () (not (tptp.v4_pre_topc @t230 @t3))) % 2.52/2.74 (define @t234 () (not (tptp.m1_subset_1 @t230 @t9))) % 2.52/2.74 (define @t235 () (not @t13)) % 2.52/2.74 (define @t236 () (or @t15 @t79 @t235 @t234 @t233 @t232)) % 2.52/2.74 (define @t237 () (@list @t1 @t230)) % 2.52/2.74 (define @t238 () (forall @t237 @t236)) % 2.52/2.74 (define @t239 () (or @t23 @t191 @t190 @t238)) % 2.52/2.74 (define @t240 () (or @t234 @t233 @t232)) % 2.52/2.74 (define @t241 () (or @t15 @t79 @t235 @t240)) % 2.52/2.74 (define @t242 () (forall @t237 @t241)) % 2.52/2.74 (define @t243 () (@list @t230)) % 2.52/2.74 (define @t244 () (forall @t243 @t241)) % 2.52/2.74 (define @t245 () (forall @t243 @t240)) % 2.52/2.74 (define @t246 () (@list @t2)) % 2.52/2.74 (define @t247 () (or @t15 @t79 @t235 @t245)) % 2.52/2.74 (define @t248 () (not @t6)) % 2.52/2.74 (define @t249 () (not @t10)) % 2.52/2.74 (define @t250 () (or @t249 @t248 @t5)) % 2.52/2.74 (define @t251 () (forall @t11 @t250)) % 2.52/2.74 (define @t252 () (or @t15 @t79 @t235 @t251)) % 2.52/2.74 (define @t253 () (or @t15 @t79 @t235)) % 2.52/2.74 (define @t254 () (not @t16)) % 2.52/2.74 (define @t255 () (or @t254 @t79 @t235)) % 2.52/2.74 (define @t256 () (not @t17)) % 2.52/2.74 (define @t257 () (tptp.v4_pre_topc @t222 @t223)) % 2.52/2.74 (define @t258 () (@quantifiers_skolemize @t221 1)) % 2.52/2.74 (define @t259 () (tptp.k4_tsp_2 @t223 @t258)) % 2.52/2.74 (define @t260 () (tptp.k4_pre_topc @t223 @t258 @t259 @t222)) % 2.52/2.74 (define @t261 () (tptp.v4_pre_topc @t260 @t258)) % 2.52/2.74 (define @t262 () (not @t257)) % 2.52/2.74 (define @t263 () (tptp.u1_struct_0 @t223)) % 2.52/2.74 (define @t264 () (tptp.k1_zfmisc_1 @t263)) % 2.52/2.74 (define @t265 () (tptp.m1_subset_1 @t222 @t264)) % 2.52/2.74 (define @t266 () (not @t265)) % 2.52/2.74 (define @t267 () (tptp.m2_tsp_1 @t258 @t223)) % 2.52/2.74 (define @t268 () (not @t267)) % 2.52/2.74 (define @t269 () (tptp.v2_tsp_2 @t258 @t223)) % 2.52/2.74 (define @t270 () (not @t269)) % 2.52/2.74 (define @t271 () (tptp.v3_struct_0 @t258)) % 2.52/2.74 (define @t272 () (tptp.l1_pre_topc @t223)) % 2.52/2.74 (define @t273 () (not @t272)) % 2.52/2.74 (define @t274 () (tptp.v2_pre_topc @t223)) % 2.52/2.74 (define @t275 () (not @t274)) % 2.52/2.74 (define @t276 () (tptp.v3_struct_0 @t223)) % 2.52/2.74 (define @t277 () (or @t276 @t275 @t273 @t271 @t270 @t268 @t266 @t262 @t261)) % 2.52/2.74 (define @t278 () (@list true)) % 2.52/2.74 (define @t279 () (@list @t277)) % 2.52/2.74 (define @t280 () (tptp.k3_tex_4 @t223 @t222)) % 2.52/2.74 (define @t281 () (= @t222 @t280)) % 2.52/2.74 (define @t282 () (or @t276 @t275 @t273 @t266 @t262 @t281)) % 2.52/2.74 (define @t283 () (not @t47)) % 2.52/2.74 (define @t284 () (or @t23 @t191 @t190 @t15 @t79 @t283)) % 2.52/2.74 (define @t285 () (or @t207 @t191 @t190 @t254 @t79 @t283)) % 2.52/2.74 (define @t286 () (not @t138)) % 2.52/2.74 (define @t287 () (@list @t223 @t258)) % 2.52/2.74 (define @t288 () (@var "BOUND_VARIABLE_9446" $$unsorted)) % 2.52/2.74 (define @t289 () (= (tptp.m2_tsp_1 @t288 @t3) (tptp.m1_pre_topc @t288 @t3))) % 2.52/2.74 (define @t290 () (or @t190 @t289)) % 2.52/2.74 (define @t291 () (@list @t288)) % 2.52/2.74 (define @t292 () (forall @t291 @t290)) % 2.52/2.74 (define @t293 () (forall @t291 @t289)) % 2.52/2.74 (define @t294 () (or @t190 @t293)) % 2.52/2.74 (define @t295 () (tptp.m1_pre_topc @t258 @t223)) % 2.52/2.74 (define @t296 () (= @t267 @t295)) % 2.52/2.74 (define @t297 () (or @t273 @t296)) % 2.52/2.74 (define @t298 () (@list false false)) % 2.52/2.74 (define @t299 () (tptp.k1_tsp_2 @t223 @t258)) % 2.52/2.74 (define @t300 () (= @t259 @t299)) % 2.52/2.74 (define @t301 () (not @t295)) % 2.52/2.74 (define @t302 () (or @t276 @t275 @t273 @t271 @t270 @t301 @t300)) % 2.52/2.74 (define @t303 () (@list true false false true false false false)) % 2.52/2.74 (define @t304 () (@var "BOUND_VARIABLE_9065" $$unsorted)) % 2.52/2.74 (define @t305 () (tptp.k4_tsp_2 @t3 @t304)) % 2.52/2.74 (define @t306 () (@var "BOUND_VARIABLE_9067" $$unsorted)) % 2.52/2.74 (define @t307 () (= @t306 @t305)) % 2.52/2.74 (define @t308 () (@var "BOUND_VARIABLE_8987" $$unsorted)) % 2.52/2.74 (define @t309 () (tptp.k3_tex_4 @t3 @t308)) % 2.52/2.74 (define @t310 () (tptp.u1_struct_0 @t304)) % 2.52/2.74 (define @t311 () (not (tptp.m1_subset_1 @t308 @t9))) % 2.52/2.74 (define @t312 () (@list @t308)) % 2.52/2.74 (define @t313 () (or (not (tptp.m1_subset_1 @t310 @t9)) (forall @t312 (or @t311 (= (tptp.k5_subset_1 @t8 @t310 @t309) (tptp.k4_pre_topc @t3 @t304 @t306 @t308)))))) % 2.52/2.74 (define @t314 () (= (= @t305 @t306) @t313)) % 2.52/2.74 (define @t315 () (not (tptp.m2_relset_1 @t306 @t8 @t310))) % 2.52/2.74 (define @t316 () (not (tptp.v5_pre_topc @t306 @t3 @t304))) % 2.52/2.74 (define @t317 () (not (tptp.v1_funct_2 @t306 @t8 @t310))) % 2.52/2.74 (define @t318 () (not (tptp.v1_funct_1 @t306))) % 2.52/2.74 (define @t319 () (not (tptp.m2_tsp_1 @t304 @t3))) % 2.52/2.74 (define @t320 () (not (tptp.v2_tsp_2 @t304 @t3))) % 2.52/2.74 (define @t321 () (tptp.v3_struct_0 @t304)) % 2.52/2.74 (define @t322 () (or @t23 @t191 @t190 @t321 @t320 @t319 @t318 @t317 @t316 @t315 @t314)) % 2.52/2.74 (define @t323 () (or @t321 @t320 @t319 @t318 @t317 @t316 @t315 @t314)) % 2.52/2.74 (define @t324 () (or @t23 @t191 @t190 @t323)) % 2.52/2.74 (define @t325 () (@list @t3 @t304 @t306)) % 2.52/2.74 (define @t326 () (forall @t325 @t324)) % 2.52/2.74 (define @t327 () (@list @t304 @t306)) % 2.52/2.74 (define @t328 () (forall @t327 @t324)) % 2.52/2.74 (define @t329 () (forall @t327 @t323)) % 2.52/2.74 (define @t330 () (@var "BOUND_VARIABLE_9031" $$unsorted)) % 2.52/2.74 (define @t331 () (or @t23 @t191 @t190 @t329)) % 2.52/2.74 (define @t332 () (tptp.k4_pre_topc @t3 @t1 @t330 @t308)) % 2.52/2.74 (define @t333 () (tptp.k5_subset_1 @t8 @t98 @t309)) % 2.52/2.74 (define @t334 () (not @t176)) % 2.52/2.74 (define @t335 () (not (tptp.m2_relset_1 @t330 @t8 @t98))) % 2.52/2.74 (define @t336 () (not (tptp.v5_pre_topc @t330 @t3 @t1))) % 2.52/2.74 (define @t337 () (not (tptp.v1_funct_2 @t330 @t8 @t98))) % 2.52/2.74 (define @t338 () (not (tptp.v1_funct_1 @t330))) % 2.52/2.74 (define @t339 () (@list @t1 @t330)) % 2.52/2.74 (define @t340 () (forall @t339 (or @t15 @t79 @t235 @t338 @t337 @t336 @t335 (= (= @t4 @t330) (or @t334 (forall @t312 (or @t311 (= @t333 @t332)))))))) % 2.52/2.74 (define @t341 () (or @t23 @t191 @t190 @t340)) % 2.52/2.74 (define @t342 () (or @t311 (= @t332 @t333))) % 2.52/2.74 (define @t343 () (forall @t312 @t342)) % 2.52/2.74 (define @t344 () (or @t334 @t343)) % 2.52/2.74 (define @t345 () (= (= @t330 @t4) @t344)) % 2.52/2.74 (define @t346 () (or @t15 @t79 @t235 @t338 @t337 @t336 @t335 @t345)) % 2.52/2.74 (define @t347 () (or @t338 @t337 @t336 @t335 @t345)) % 2.52/2.74 (define @t348 () (or @t15 @t79 @t235 @t347)) % 2.52/2.74 (define @t349 () (forall @t339 @t348)) % 2.52/2.74 (define @t350 () (@list @t330)) % 2.52/2.74 (define @t351 () (forall @t350 @t348)) % 2.52/2.74 (define @t352 () (forall @t350 @t347)) % 2.52/2.74 (define @t353 () (or @t15 @t79 @t235 @t352)) % 2.52/2.74 (define @t354 () (tptp.k4_pre_topc @t3 @t1 @t2 @t308)) % 2.52/2.74 (define @t355 () (= @t354 @t333)) % 2.52/2.74 (define @t356 () (or @t311 @t355)) % 2.52/2.74 (define @t357 () (or @t334 (forall @t312 @t356))) % 2.52/2.74 (define @t358 () (= @t105 @t357)) % 2.52/2.74 (define @t359 () (not @t107)) % 2.52/2.74 (define @t360 () (not @t108)) % 2.52/2.74 (define @t361 () (not @t109)) % 2.52/2.74 (define @t362 () (not @t110)) % 2.52/2.74 (define @t363 () (or @t362 @t361 @t360 @t359 @t358)) % 2.52/2.74 (define @t364 () (forall @t11 @t363)) % 2.52/2.74 (define @t365 () (or @t15 @t79 @t235 @t364)) % 2.52/2.74 (define @t366 () (or @t362 @t361 @t360 @t359)) % 2.52/2.74 (define @t367 () (or @t334 @t356)) % 2.52/2.74 (define @t368 () (or @t334 @t311 @t355)) % 2.52/2.74 (define @t369 () (not (= @t98 @t98))) % 2.52/2.74 (define @t370 () (or @t334 @t369 @t311 (= @t333 @t354))) % 2.52/2.74 (define @t371 () (= (tptp.k5_subset_1 @t8 @t93 @t309) @t354)) % 2.52/2.74 (define @t372 () (= @t98 @t93)) % 2.52/2.74 (define @t373 () (not @t372)) % 2.52/2.74 (define @t374 () (not @t101)) % 2.52/2.74 (define @t375 () (or @t373 @t374 @t373 @t311 @t371)) % 2.52/2.74 (define @t376 () (or @t374 @t373 @t311 @t371)) % 2.52/2.74 (define @t377 () (forall @t103 @t376)) % 2.52/2.74 (define @t378 () (forall @t312 @t377)) % 2.52/2.74 (define @t379 () (forall (@list @t308 @t93) @t376)) % 2.52/2.74 (define @t380 () (@list @t93 @t308)) % 2.52/2.74 (define @t381 () (or @t311 @t371)) % 2.52/2.74 (define @t382 () (or @t374 @t373 @t381)) % 2.52/2.74 (define @t383 () (forall @t380 @t382)) % 2.52/2.74 (define @t384 () (forall @t312 @t382)) % 2.52/2.74 (define @t385 () (forall @t312 @t381)) % 2.52/2.74 (define @t386 () (or @t374 @t373 @t385)) % 2.52/2.74 (define @t387 () (forall @t96 (or (not @t95) @t94))) % 2.52/2.74 (define @t388 () (or @t374 @t373 @t387)) % 2.52/2.74 (define @t389 () (=> @t372 @t387)) % 2.52/2.74 (define @t390 () (tptp.u1_struct_0 @t258)) % 2.52/2.74 (define @t391 () (forall @t312 (or (not (tptp.m1_subset_1 @t308 @t264)) (= (tptp.k5_subset_1 @t263 @t390 (tptp.k3_tex_4 @t223 @t308)) (tptp.k4_pre_topc @t223 @t258 @t299 @t308))))) % 2.52/2.74 (define @t392 () (tptp.m1_subset_1 @t390 @t264)) % 2.52/2.74 (define @t393 () (not @t392)) % 2.52/2.74 (define @t394 () (or @t393 @t391)) % 2.52/2.74 (define @t395 () (= @t394 (= @t299 @t259))) % 2.52/2.74 (define @t396 () (tptp.m2_relset_1 @t299 @t263 @t390)) % 2.52/2.74 (define @t397 () (not @t396)) % 2.52/2.74 (define @t398 () (tptp.v5_pre_topc @t299 @t223 @t258)) % 2.52/2.74 (define @t399 () (not @t398)) % 2.52/2.74 (define @t400 () (tptp.v1_funct_2 @t299 @t263 @t390)) % 2.52/2.74 (define @t401 () (not @t400)) % 2.52/2.74 (define @t402 () (tptp.v1_funct_1 @t299)) % 2.52/2.74 (define @t403 () (not @t402)) % 2.52/2.74 (define @t404 () (or @t276 @t275 @t273 @t271 @t270 @t268 @t403 @t401 @t399 @t397 @t395)) % 2.52/2.74 (define @t405 () (forall @t325 (or @t23 @t191 @t190 @t321 @t320 @t319 @t318 @t317 @t316 @t315 (= @t313 @t307)))) % 2.52/2.74 (define @t406 () (= @t300 @t394)) % 2.52/2.74 (define @t407 () (or @t276 @t275 @t273 @t271 @t270 @t268 @t403 @t401 @t399 @t397 @t406)) % 2.52/2.74 (define @t408 () (@list false)) % 2.52/2.74 (define @t409 () (and @t402 @t400 @t398 @t396)) % 2.52/2.74 (define @t410 () (or @t276 @t275 @t273 @t271 @t270 @t301 @t409)) % 2.52/2.74 (define @t411 () (not @t409)) % 2.52/2.74 (define @t412 () (@list @t409)) % 2.52/2.74 (define @t413 () (not @t300)) % 2.52/2.74 (define @t414 () (@var "BOUND_VARIABLE_9466" $$unsorted)) % 2.52/2.74 (define @t415 () (tptp.m1_subset_1 (tptp.u1_struct_0 @t414) @t9)) % 2.52/2.74 (define @t416 () (not (tptp.m1_pre_topc @t414 @t3))) % 2.52/2.74 (define @t417 () (or @t416 @t415)) % 2.52/2.74 (define @t418 () (or @t190 @t417)) % 2.52/2.74 (define @t419 () (forall (@list @t3 @t414) @t418)) % 2.52/2.74 (define @t420 () (@list @t414)) % 2.52/2.74 (define @t421 () (forall @t420 @t418)) % 2.52/2.74 (define @t422 () (forall @t420 @t417)) % 2.52/2.74 (define @t423 () (or @t190 @t422)) % 2.52/2.74 (define @t424 () (forall @t19 (or @t283 @t176))) % 2.52/2.74 (define @t425 () (or @t273 @t301 @t392)) % 2.52/2.74 (define @t426 () (@list false false false)) % 2.52/2.74 (define @t427 () (@list @t222)) % 2.52/2.74 (define @t428 () (tptp.k4_pre_topc @t223 @t258 @t299 @t222)) % 2.52/2.74 (define @t429 () (tptp.k5_subset_1 @t263 @t390 @t280)) % 2.52/2.74 (define @t430 () (= @t429 @t428)) % 2.52/2.74 (define @t431 () (or @t266 @t430)) % 2.52/2.74 (define @t432 () (@var "BOUND_VARIABLE_9130" $$unsorted)) % 2.52/2.74 (define @t433 () (tptp.u1_struct_0 @t432)) % 2.52/2.74 (define @t434 () (not @t119)) % 2.52/2.74 (define @t435 () (= (tptp.m2_tsp_1 @t432 @t3) (and (tptp.r1_tarski @t433 @t8) (forall @t11 (or (not (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t433))) (= (tptp.v4_pre_topc @t2 @t432) (not (forall @t103 (or @t374 @t434 (not (= @t2 (tptp.k3_xboole_0 @t93 @t433)))))))))))) % 2.52/2.74 (define @t436 () (not (tptp.l1_pre_topc @t432))) % 2.52/2.74 (define @t437 () (or @t436 @t435)) % 2.52/2.74 (define @t438 () (or @t190 @t437)) % 2.52/2.74 (define @t439 () (forall (@list @t3 @t432) @t438)) % 2.52/2.74 (define @t440 () (@list @t432)) % 2.52/2.74 (define @t441 () (forall @t440 @t438)) % 2.52/2.74 (define @t442 () (forall @t440 @t437)) % 2.52/2.74 (define @t443 () (or @t190 @t442)) % 2.52/2.74 (define @t444 () (not @t118)) % 2.52/2.74 (define @t445 () (or @t374 @t434 @t444)) % 2.52/2.74 (define @t446 () (= @t122 (not (forall @t103 @t445)))) % 2.52/2.74 (define @t447 () (= @t13 (and @t128 (forall @t11 (or (not @t125) @t446))))) % 2.52/2.74 (define @t448 () (forall @t19 (or (not @t131) @t447))) % 2.52/2.74 (define @t449 () (forall @t103 (not @t120))) % 2.52/2.74 (define @t450 () (not @t449)) % 2.52/2.74 (define @t451 () (@var "BOUND_VARIABLE_9214" $$unsorted)) % 2.52/2.74 (define @t452 () (tptp.l1_pre_topc @t451)) % 2.52/2.74 (define @t453 () (not (tptp.m2_tsp_1 @t451 @t3))) % 2.52/2.74 (define @t454 () (or @t453 @t452)) % 2.52/2.74 (define @t455 () (or @t190 @t454)) % 2.52/2.74 (define @t456 () (forall (@list @t3 @t451) @t455)) % 2.52/2.74 (define @t457 () (@list @t451)) % 2.52/2.74 (define @t458 () (forall @t457 @t455)) % 2.52/2.74 (define @t459 () (forall @t457 @t454)) % 2.52/2.74 (define @t460 () (or @t190 @t459)) % 2.52/2.74 (define @t461 () (forall @t19 (or @t235 @t131))) % 2.52/2.74 (define @t462 () (tptp.l1_pre_topc @t258)) % 2.52/2.74 (define @t463 () (or @t273 @t268 @t462)) % 2.52/2.74 (define @t464 () (tptp.k3_xboole_0 @t93 @t390)) % 2.52/2.74 (define @t465 () (not (tptp.v4_pre_topc @t93 @t223))) % 2.52/2.74 (define @t466 () (not (tptp.m1_subset_1 @t93 @t264))) % 2.52/2.74 (define @t467 () (tptp.k1_zfmisc_1 @t390)) % 2.52/2.74 (define @t468 () (forall @t11 (or (not (tptp.m1_subset_1 @t2 @t467)) (= (tptp.v4_pre_topc @t2 @t258) (not (forall @t103 (or @t466 @t465 (not (= @t2 @t464))))))))) % 2.52/2.74 (define @t469 () (and (tptp.r1_tarski @t390 @t263) @t468)) % 2.52/2.74 (define @t470 () (= @t267 @t469)) % 2.52/2.74 (define @t471 () (not @t462)) % 2.52/2.74 (define @t472 () (or @t273 @t471 @t470)) % 2.52/2.74 (define @t473 () (not @t143)) % 2.52/2.74 (define @t474 () (not @t144)) % 2.52/2.74 (define @t475 () (not @t145)) % 2.52/2.74 (define @t476 () (or @t475 @t474 @t362 @t361 @t473)) % 2.52/2.74 (define @t477 () (tptp.m2_relset_1 @t259 @t263 @t390)) % 2.52/2.74 (define @t478 () (tptp.m1_relset_1 @t259 @t263 @t390)) % 2.52/2.74 (define @t479 () (= @t477 @t478)) % 2.52/2.74 (define @t480 () (= @t478 @t477)) % 2.52/2.74 (define @t481 () (tptp.v1_funct_2 @t259 @t263 @t390)) % 2.52/2.74 (define @t482 () (tptp.v1_funct_1 @t259)) % 2.52/2.74 (define @t483 () (and @t482 @t481 (tptp.v5_pre_topc @t259 @t223 @t258) @t477)) % 2.52/2.74 (define @t484 () (or @t276 @t275 @t273 @t271 @t270 @t301 @t483)) % 2.52/2.74 (define @t485 () (not @t483)) % 2.52/2.74 (define @t486 () (@list @t483)) % 2.52/2.74 (define @t487 () (tptp.l1_struct_0 @t258)) % 2.52/2.74 (define @t488 () (or @t471 @t487)) % 2.52/2.74 (define @t489 () (tptp.l1_struct_0 @t223)) % 2.52/2.74 (define @t490 () (or @t273 @t489)) % 2.52/2.74 (define @t491 () (tptp.m1_subset_1 @t260 @t467)) % 2.52/2.74 (define @t492 () (not @t478)) % 2.52/2.74 (define @t493 () (not @t481)) % 2.52/2.74 (define @t494 () (not @t482)) % 2.52/2.74 (define @t495 () (not @t487)) % 2.52/2.74 (define @t496 () (not @t489)) % 2.52/2.74 (define @t497 () (or @t496 @t495 @t494 @t493 @t492 @t491)) % 2.52/2.74 (define @t498 () (forall @t103 (or @t466 @t465 (not (= @t260 @t464))))) % 2.52/2.74 (define @t499 () (not @t498)) % 2.52/2.74 (define @t500 () (= @t261 @t499)) % 2.52/2.74 (define @t501 () (not @t491)) % 2.52/2.74 (define @t502 () (or @t501 @t500)) % 2.52/2.74 (define @t503 () (not @t500)) % 2.52/2.74 (define @t504 () (tptp.k3_xboole_0 @t222 @t390)) % 2.52/2.74 (define @t505 () (= @t260 @t504)) % 2.52/2.74 (define @t506 () (not @t505)) % 2.52/2.74 (define @t507 () (or @t266 @t262 @t506)) % 2.52/2.74 (define @t508 () (not @t90)) % 2.52/2.74 (define @t509 () (not @t64)) % 2.52/2.74 (define @t510 () (tptp.m1_subset_1 @t280 @t264)) % 2.52/2.74 (define @t511 () (= @t429 (tptp.k3_xboole_0 @t390 @t280))) % 2.52/2.74 (define @t512 () (not @t510)) % 2.52/2.74 (define @t513 () (or @t393 @t512 @t511)) % 2.52/2.74 (define @t514 () (tptp.k3_xboole_0 @t390 @t222)) % 2.52/2.74 (define @t515 () (= @t504 @t514)) % 2.52/2.74 (define @t516 () (not @t515)) % 2.52/2.74 (define @t517 () (not @t511)) % 2.52/2.74 (define @t518 () (not @t430)) % 2.52/2.74 (define @t519 () (not @t281)) % 2.52/2.74 (define @t520 () (= @t514 @t504)) % 2.52/2.74 (define @t521 () (not @t520)) % 2.52/2.74 (define @t522 () (and @t515 @t516)) % 2.52/2.74 (assume @p1 @t29) % 2.52/2.74 (assume @p2 (forall @t31 (=> @t30 (not (tptp.r2_hidden @t1 @t3))))) % 2.52/2.74 (assume @p3 (forall @t27 (=> @t34 (forall @t19 (=> @t33 @t32))))) % 2.52/2.74 (assume @p4 (forall @t27 (=> @t21 (=> (and @t24 @t22 @t39 @t42) (and @t24 @t41 @t22 @t39 @t37 (not @t35)))))) % 2.52/2.74 (assume @p5 (forall @t27 (=> @t25 (forall @t19 (=> @t47 (=> @t46 (and @t44 (not @t43)))))))) % 2.52/2.74 (assume @p6 (forall @t27 (=> @t49 (forall @t19 (=> @t33 (and @t32 @t48)))))) % 2.52/2.74 (assume @p7 (forall @t27 (=> (and @t24 @t22 @t42 @t21) (forall @t19 (=> @t47 (=> @t16 @t51)))))) % 2.52/2.74 (assume @p8 (forall @t27 (=> @t53 (forall @t19 (=> @t33 (and @t32 @t48 @t52)))))) % 2.52/2.74 (assume @p9 (forall @t27 (=> @t57 (forall @t19 (=> @t47 (=> (and @t16 @t55) (and @t16 (not (tptp.v3_realset2 @t1)) @t54))))))) % 2.52/2.74 (assume @p10 (forall @t27 (=> @t59 (forall @t19 (=> @t33 (and @t32 @t48 @t58 @t52)))))) % 2.52/2.74 (assume @p11 (forall @t27 (=> @t57 (forall @t19 (=> @t47 (=> @t51 (and @t16 @t45))))))) % 2.52/2.74 (assume @p12 (forall @t27 (=> @t60 (forall @t19 (=> @t33 (and @t32 (tptp.v4_ordinal2 @t1) @t48 @t58 @t52)))))) % 2.52/2.74 (assume @p13 (forall @t27 (=> @t61 (and @t34 @t49 @t53 @t59 @t60)))) % 2.52/2.74 (assume @p14 (forall @t27 (=> @t34 (forall @t19 (=> @t64 @t62))))) % 2.52/2.74 (assume @p15 (forall @t27 (=> @t49 (forall @t19 (=> @t64 (and @t62 @t65)))))) % 2.52/2.74 (assume @p16 (forall @t27 (=> @t53 (forall @t19 (=> @t64 (and @t62 @t65 @t66)))))) % 2.52/2.74 (assume @p17 (forall @t27 (=> @t59 (forall @t19 (=> @t64 (and @t62 @t65 @t66 @t67)))))) % 2.52/2.74 (assume @p18 (forall @t27 (=> @t60 @t59))) % 2.52/2.74 (assume @p19 (forall @t27 (=> @t68 (forall @t19 (=> @t47 @t44))))) % 2.52/2.74 (assume @p20 (forall @t71 (=> @t70 (tptp.v1_relat_1 @t2)))) % 2.52/2.74 (assume @p21 (forall @t27 (=> @t68 (forall @t19 (=> @t75 (=> @t74 (and @t73 @t72))))))) % 2.52/2.74 (assume @p22 (forall @t27 (=> @t21 (=> (and @t24 @t40) (and @t24 @t42))))) % 2.52/2.74 (assume @p23 (forall @t27 (=> @t76 (forall @t19 (=> @t47 (=> (and @t16 @t14) @t51)))))) % 2.52/2.74 (assume @p24 (forall @t27 (=> @t60 (forall @t19 (=> @t64 (and @t62 @t65 @t66 @t67 @t77)))))) % 2.52/2.74 (assume @p25 (forall @t27 (=> @t59 @t53))) % 2.52/2.74 (assume @p26 (forall @t27 (=> @t21 (forall @t19 (=> @t75 (=> @t74 @t78)))))) % 2.52/2.74 (assume @p27 (forall @t27 (=> @t21 (=> (and @t24 @t56) (and @t24 @t41))))) % 2.52/2.74 (assume @p28 (forall @t27 (=> @t76 (forall @t19 (=> @t47 (=> (and @t16 @t54) (and @t16 @t79))))))) % 2.52/2.74 (assume @p29 (forall @t27 (=> @t53 @t49))) % 2.52/2.74 (assume @p30 (forall @t27 (=> @t68 (forall @t19 (=> @t75 (=> @t74 @t80)))))) % 2.52/2.74 (assume @p31 (forall @t27 (=> @t21 (=> (and @t24 @t22 @t38) (and @t24 @t22 @t42))))) % 2.52/2.74 (assume @p32 (forall @t27 (=> @t25 (forall @t19 (=> @t47 (=> @t14 (and @t44 @t81))))))) % 2.52/2.74 (assume @p33 (forall @t27 (=> @t49 @t34))) % 2.52/2.74 (assume @p34 (forall @t27 (=> @t68 (forall @t19 (=> @t75 (=> @t80 @t78)))))) % 2.52/2.74 (assume @p35 (forall @t27 (=> @t21 (=> (and @t24 @t22 @t56) (and @t24 @t41 @t22 @t39))))) % 2.52/2.74 (assume @p36 (forall @t27 (=> @t25 (forall @t19 (=> @t47 (=> (not @t81) @t82)))))) % 2.52/2.74 (assume @p37 (forall @t27 (=> @t68 (forall @t19 (=> @t75 (=> (and @t72 @t78) (and @t78 @t80))))))) % 2.52/2.74 (assume @p38 (forall @t27 (=> @t21 (=> (and @t24 @t41 @t22 @t36) (and @t24 @t41 @t22 @t56))))) % 2.52/2.74 (assume @p39 (forall @t27 (=> @t25 (forall @t19 (=> @t47 (=> (and @t84 @t14) @t83)))))) % 2.52/2.74 (assume @p40 (forall @t27 (=> @t68 (forall @t19 (=> @t75 (=> (and @t73 @t80) (and @t74 @t73 @t72 @t62 @t65 @t66 @t67 @t77 @t78 @t80))))))) % 2.52/2.74 (assume @p41 (forall @t27 (=> @t21 (=> (and @t24 @t22 @t36 @t42) (and @t24 @t40 @t22 @t38 @t36 @t35 @t86 @t85 @t42))))) % 2.52/2.74 (assume @p42 (forall @t27 (=> @t25 (forall @t19 (=> @t47 (=> (and @t84 @t45) @t82)))))) % 2.52/2.74 (assume @p43 (forall @t27 (=> @t21 (=> (and @t24 @t41 @t22 @t42) (and @t24 @t41 @t22 @t37))))) % 2.52/2.74 (assume @p44 (forall @t27 (=> @t25 (forall @t19 (=> @t47 (=> @t46 (and @t44 (not @t84)))))))) % 2.52/2.74 (assume @p45 (forall @t27 (=> @t21 (=> (and @t24 @t22 @t35 @t42) (and @t24 @t22 @t38 @t35 @t86 @t85 @t42))))) % 2.52/2.74 (assume @p46 (forall @t27 (=> @t25 (forall @t19 (=> @t47 (=> (and @t43 @t14) @t83)))))) % 2.52/2.74 (assume @p47 (forall @t27 (=> @t21 (=> (and @t24 @t22 @t39 @t35) (and @t24 @t41 @t22 @t39 @t56))))) % 2.52/2.74 (assume @p48 (forall @t27 (=> @t25 (forall @t19 (=> @t47 (=> (and @t45 @t43) @t82)))))) % 2.52/2.74 (assume @p49 (forall @t31 (= @t88 @t87))) % 2.52/2.74 (assume @p50 (forall @t71 (=> @t91 (= @t89 (tptp.k5_subset_1 @t3 @t2 @t1))))) % 2.52/2.74 (assume @p51 @t117) % 2.52/2.74 (assume @p52 @t135) % 2.52/2.74 (assume @p53 @t139) % 2.52/2.74 (assume @p54 true) % 2.52/2.74 (assume @p55 (forall @t31 (=> (and @t24 @t21 @t75) (tptp.m1_subset_1 @t140 @t9)))) % 2.52/2.74 (assume @p56 @t148) % 2.52/2.74 (assume @p57 @t150) % 2.52/2.74 (assume @p58 (forall @t71 (=> @t91 (tptp.m1_subset_1 @t89 @t63)))) % 2.52/2.74 (assume @p59 @t151) % 2.52/2.74 (assume @p60 (forall @t27 (=> @t21 (forall @t19 (=> @t47 @t131))))) % 2.52/2.74 (assume @p61 (forall @t71 (=> @t152 @t70))) % 2.52/2.74 (assume @p62 @t155) % 2.52/2.74 (assume @p63 (exists @t27 @t21)) % 2.52/2.74 (assume @p64 (exists @t27 @t145)) % 2.52/2.74 (assume @p65 (forall @t27 (=> @t21 (exists @t19 @t47)))) % 2.52/2.74 (assume @p66 (forall @t31 (exists @t11 @t156))) % 2.52/2.74 (assume @p67 (forall @t27 (exists @t19 @t33))) % 2.52/2.74 (assume @p68 (forall @t31 (exists @t11 @t152))) % 2.52/2.74 (assume @p69 (forall @t27 (=> @t21 (exists @t19 @t13)))) % 2.52/2.74 (assume @p70 (forall @t27 (=> @t157 (not (tptp.v1_xboole_0 @t8))))) % 2.52/2.74 (assume @p71 (forall @t27 (not (tptp.v1_xboole_0 @t63)))) % 2.52/2.74 (assume @p72 (forall @t31 (=> @t34 @t158))) % 2.52/2.74 (assume @p73 (forall @t31 (=> @t34 @t159))) % 2.52/2.74 (assume @p74 (forall @t31 (=> @t49 (and @t158 @t160)))) % 2.52/2.74 (assume @p75 (forall @t31 (=> @t49 (and @t159 @t161)))) % 2.52/2.74 (assume @p76 (forall @t31 (=> @t53 (and @t158 @t160 @t162)))) % 2.52/2.74 (assume @p77 (forall @t31 (=> @t53 (and @t159 @t161 @t163)))) % 2.52/2.74 (assume @p78 (forall @t31 (=> @t59 (and @t158 @t160 @t162 @t164)))) % 2.52/2.74 (assume @p79 (forall @t31 (=> @t59 (and @t159 @t161 @t163 @t165)))) % 2.52/2.74 (assume @p80 (forall @t31 (=> @t60 (and @t158 @t160 @t162 @t164 (tptp.v5_membered @t88))))) % 2.52/2.74 (assume @p81 (forall @t31 (=> @t60 (and @t159 @t161 @t163 @t165 (tptp.v5_membered @t87))))) % 2.52/2.74 (assume @p82 (forall @t31 (=> (and @t167 @t166) (not (tptp.v1_xboole_0 @t69))))) % 2.52/2.74 (assume @p83 (and (tptp.v1_xboole_0 tptp.k1_xboole_0) (tptp.v1_membered tptp.k1_xboole_0) (tptp.v2_membered tptp.k1_xboole_0) (tptp.v3_membered tptp.k1_xboole_0) (tptp.v4_membered tptp.k1_xboole_0) (tptp.v5_membered tptp.k1_xboole_0))) % 2.52/2.74 (assume @p84 (forall @t31 (= (tptp.k3_xboole_0 @t3 @t3) @t3))) % 2.52/2.74 (assume @p85 (forall @t71 (=> @t91 (= (tptp.k5_subset_1 @t3 @t1 @t1) @t1)))) % 2.52/2.74 (assume @p86 (exists @t27 (and @t167 @t34 @t49 @t53 @t59 @t60))) % 2.52/2.74 (assume @p87 (forall @t27 (=> @t167 (exists @t19 (and @t64 @t166))))) % 2.52/2.74 (assume @p88 (forall @t27 (=> @t68 (exists @t19 (and @t75 @t73))))) % 2.52/2.74 (assume @p89 (forall @t27 (exists @t19 (and @t64 @t74)))) % 2.52/2.74 (assume @p90 (forall @t27 (=> @t68 (exists @t19 (and @t75 @t73 @t72))))) % 2.52/2.74 (assume @p91 (exists @t27 (and @t145 @t24))) % 2.52/2.74 (assume @p92 (forall @t27 (=> @t25 (exists @t19 (and @t75 @t166 @t73 @t72))))) % 2.52/2.74 (assume @p93 (forall @t27 (=> @t21 (exists @t19 (and @t75 @t74 @t62 @t65 @t66 @t67 @t77 @t78))))) % 2.52/2.74 (assume @p94 (forall @t27 (=> @t157 (exists @t19 (and @t75 @t166))))) % 2.52/2.74 (assume @p95 (forall @t27 (=> @t68 (exists @t19 (and @t75 @t74 @t73 @t72 @t62 @t65 @t66 @t67 @t77 @t78 @t80))))) % 2.52/2.74 (assume @p96 (forall @t27 (=> @t68 (exists @t19 (and @t75 @t72))))) % 2.52/2.74 (assume @p97 (forall @t27 (=> @t25 (exists @t19 (and @t75 @t166 @t72))))) % 2.52/2.74 (assume @p98 (forall @t147 (=> @t146 (= @t141 (tptp.k9_relat_1 @t2 @t93))))) % 2.52/2.74 (assume @p99 @t169) % 2.52/2.74 (assume @p100 @t171) % 2.52/2.74 (assume @p101 @t172) % 2.52/2.74 (assume @p102 @t174) % 2.52/2.74 (assume @p103 (forall @t31 (tptp.r1_tarski @t3 @t3))) % 2.52/2.74 (assume @p104 (forall @t31 (=> @t30 @t175))) % 2.52/2.74 (assume @p105 @t179) % 2.52/2.74 (assume @p106 (forall @t27 (= (tptp.k3_xboole_0 @t3 tptp.k1_xboole_0) tptp.k1_xboole_0))) % 2.52/2.74 (assume @p107 (forall @t31 (=> @t175 (or @t74 @t30)))) % 2.52/2.74 (assume @p108 (forall @t31 (= (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 @t1)) (tptp.r1_tarski @t3 @t1)))) % 2.52/2.74 (assume @p109 (forall @t71 (=> (and @t30 @t180) (tptp.m1_subset_1 @t3 @t2)))) % 2.52/2.74 (assume @p110 (forall @t71 (not (and @t30 @t180 (tptp.v1_xboole_0 @t2))))) % 2.52/2.74 (assume @p111 @t185) % 2.52/2.74 (assume @p112 (forall @t27 (=> @t61 (= @t3 tptp.k1_xboole_0)))) % 2.52/2.74 (assume @p113 (forall @t31 (not (and @t30 @t74)))) % 2.52/2.74 (assume @p114 (forall @t31 (not (and @t61 (not (= @t3 @t1)) @t74)))) % 2.52/2.74 (step @p115 :rule aci_norm :args ((= @t193 (or @t23 @t191 @t190 @t189 @t188 @t187)))) % 2.52/2.74 (step @p116 :rule cong :premises (@p115) :args (@t194)) % 2.52/2.74 (step @p117 :rule quant-merge-prenex :args ((= (forall @t27 @t196) @t194))) % 2.52/2.74 (step @p118 :rule alpha_equiv :args (@t197 (@list @t186) @t198)) % 2.52/2.74 (step @p119 :rule refl :args (@t190)) % 2.52/2.74 (step @p120 :rule refl :args (@t191)) % 2.52/2.74 (step @p121 :rule refl :args (@t23)) % 2.52/2.74 (step @p122 :rule nary_cong :premises (@p121 @p120 @p119 @p118) :args (@t199)) % 2.52/2.74 (step @p123 :rule quant-miniscope-or :args ((= @t196 @t199))) % 2.52/2.74 (step @p124 :rule trans :premises (@p123 @p122)) % 2.52/2.74 (step @p125 :rule symm :premises (@p124)) % 2.52/2.74 (step @p126 :rule cong :premises (@p125) :args ((forall @t27 @t205))) % 2.52/2.74 (step @p127 :rule trans :premises (@p126 @p117)) % 2.52/2.74 (step @p128 :rule trans :premises (@p127 @p116)) % 2.52/2.74 (step @p129 :rule aci_norm :args ((= (or @t206 @t204) @t205))) % 2.52/2.74 (step @p130 :rule refl :args (@t204)) % 2.52/2.74 (step @p131 :rule bool-double-not-elim :args (@t23)) % 2.52/2.74 (step @p132 :rule nary_cong :premises (@p131 @p120 @p119) :args (@t208)) % 2.52/2.74 (step @p133 :rule aci_norm :args ((= (or @t207 (or @t191 @t190)) @t208))) % 2.52/2.74 (step @p134 :rule trans :premises (@p133 @p132)) % 2.52/2.74 (step @p135 :rule bool-and-de-morgan :args (@t22 @t21 true)) % 2.52/2.74 (step @p136 :rule refl :args (@t207)) % 2.52/2.74 (step @p137 :rule nary_cong :premises (@p136 @p135) :args ((or @t207 (not @t68)))) % 2.52/2.74 (step @p138 :rule bool-and-de-morgan :args (@t24 @t22 (and @t21))) % 2.52/2.74 (step @p139 :rule trans :premises (@p138 @p137)) % 2.52/2.74 (step @p140 :rule trans :premises (@p139 @p134)) % 2.52/2.74 (step @p141 :rule nary_cong :premises (@p140 @p130) :args ((or @t209 @t204))) % 2.52/2.74 (step @p142 :rule trans :premises (@p141 @p129)) % 2.52/2.74 (step @p143 :rule bool-impl-elim :args (@t25 @t204)) % 2.52/2.74 (step @p144 :rule trans :premises (@p143 @p142)) % 2.52/2.74 (step @p145 :rule cong :premises (@p144) :args ((forall @t27 (=> @t25 @t204)))) % 2.52/2.74 (step @p146 :rule trans :premises (@p145 @p128)) % 2.52/2.74 (step @p147 :rule aci_norm :args ((= (or @t202 (or @t201 @t200)) @t203))) % 2.52/2.74 (step @p148 :rule bool-impl-elim :args (@t72 @t200)) % 2.52/2.74 (step @p149 :rule refl :args (@t202)) % 2.52/2.74 (step @p150 :rule nary_cong :premises (@p149 @p148) :args ((or @t202 @t210))) % 2.52/2.74 (step @p151 :rule trans :premises (@p150 @p147)) % 2.52/2.74 (step @p152 :rule bool-impl-elim :args (@t75 @t210)) % 2.52/2.74 (step @p153 :rule trans :premises (@p152 @p151)) % 2.52/2.74 (step @p154 :rule cong :premises (@p153) :args ((forall @t19 (=> @t75 @t210)))) % 2.52/2.74 (step @p155 :rule eq-symm :args (@t140 @t1)) % 2.52/2.74 (step @p156 :rule refl :args (@t72)) % 2.52/2.74 (step @p157 :rule cong :premises (@p156 @p155) :args (@t181)) % 2.52/2.74 (step @p158 :rule refl :args (@t75)) % 2.52/2.74 (step @p159 :rule cong :premises (@p158 @p157) :args (@t182)) % 2.52/2.74 (step @p160 :rule cong :premises (@p159) :args (@t183)) % 2.52/2.74 (step @p161 :rule trans :premises (@p160 @p154)) % 2.52/2.74 (step @p162 :rule refl :args (@t25)) % 2.52/2.74 (step @p163 :rule cong :premises (@p162 @p161) :args (@t184)) % 2.52/2.74 (step @p164 :rule cong :premises (@p163) :args (@t185)) % 2.52/2.74 (step @p165 :rule trans :premises (@p164 @p146)) % 2.52/2.74 (step @p166 :rule eq_resolve :premises (@p111 @p165)) % 2.52/2.74 (step @p167 :rule instantiate :premises (@p166) :args ((@list @t223 @t222))) % 2.52/2.74 (step @p168 :rule aci_norm :args ((= @t225 @t219))) % 2.52/2.74 (step @p169 :rule cong :premises (@p168) :args (@t226)) % 2.52/2.74 (step @p170 :rule quant-merge-prenex :args ((= (forall @t27 @t228) @t226))) % 2.52/2.74 (step @p171 :rule alpha_equiv :args (@t229 (@list @t211 @t212) (@list @t1 @t230))) % 2.52/2.74 (step @p172 :rule nary_cong :premises (@p121 @p120 @p119 @p171) :args (@t231)) % 2.52/2.74 (step @p173 :rule quant-miniscope-or :args ((= @t228 @t231))) % 2.52/2.74 (step @p174 :rule trans :premises (@p173 @p172)) % 2.52/2.74 (step @p175 :rule symm :premises (@p174)) % 2.52/2.74 (step @p176 :rule cong :premises (@p175) :args ((forall @t27 @t239))) % 2.52/2.74 (step @p177 :rule trans :premises (@p176 @p170)) % 2.52/2.74 (step @p178 :rule trans :premises (@p177 @p169)) % 2.52/2.74 (step @p179 :rule aci_norm :args ((= (or @t206 @t238) @t239))) % 2.52/2.74 (step @p180 :rule refl :args (@t238)) % 2.52/2.74 (step @p181 :rule nary_cong :premises (@p140 @p180) :args ((or @t209 @t238))) % 2.52/2.74 (step @p182 :rule trans :premises (@p181 @p179)) % 2.52/2.74 (step @p183 :rule bool-impl-elim :args (@t25 @t238)) % 2.52/2.74 (step @p184 :rule trans :premises (@p183 @p182)) % 2.52/2.74 (step @p185 :rule cong :premises (@p184) :args ((forall @t27 (=> @t25 @t238)))) % 2.52/2.74 (step @p186 :rule trans :premises (@p185 @p178)) % 2.52/2.74 (step @p187 :rule aci_norm :args ((= @t241 @t236))) % 2.52/2.74 (step @p188 :rule cong :premises (@p187) :args (@t242)) % 2.52/2.74 (step @p189 :rule quant-merge-prenex :args ((= (forall @t19 @t244) @t242))) % 2.52/2.74 (step @p190 :rule alpha_equiv :args (@t245 (@list @t230) @t246)) % 2.52/2.74 (step @p191 :rule refl :args (@t235)) % 2.52/2.74 (step @p192 :rule refl :args (@t79)) % 2.52/2.74 (step @p193 :rule refl :args (@t15)) % 2.52/2.74 (step @p194 :rule nary_cong :premises (@p193 @p192 @p191 @p190) :args (@t247)) % 2.52/2.74 (step @p195 :rule quant-miniscope-or :args ((= @t244 @t247))) % 2.52/2.74 (step @p196 :rule trans :premises (@p195 @p194)) % 2.52/2.74 (step @p197 :rule symm :premises (@p196)) % 2.52/2.74 (step @p198 :rule cong :premises (@p197) :args ((forall @t19 @t252))) % 2.52/2.74 (step @p199 :rule trans :premises (@p198 @p189)) % 2.52/2.74 (step @p200 :rule trans :premises (@p199 @p188)) % 2.52/2.74 (step @p201 :rule aci_norm :args ((= (or @t253 @t251) @t252))) % 2.52/2.74 (step @p202 :rule refl :args (@t251)) % 2.52/2.74 (step @p203 :rule bool-double-not-elim :args (@t15)) % 2.52/2.74 (step @p204 :rule nary_cong :premises (@p203 @p192 @p191) :args (@t255)) % 2.52/2.74 (step @p205 :rule aci_norm :args ((= (or @t254 (or @t79 @t235)) @t255))) % 2.52/2.74 (step @p206 :rule trans :premises (@p205 @p204)) % 2.52/2.74 (step @p207 :rule bool-and-de-morgan :args (@t14 @t13 true)) % 2.52/2.74 (step @p208 :rule refl :args (@t254)) % 2.52/2.74 (step @p209 :rule nary_cong :premises (@p208 @p207) :args ((or @t254 (not (and @t14 @t13))))) % 2.52/2.74 (step @p210 :rule bool-and-de-morgan :args (@t16 @t14 (and @t13))) % 2.52/2.74 (step @p211 :rule trans :premises (@p210 @p209)) % 2.52/2.74 (step @p212 :rule trans :premises (@p211 @p206)) % 2.52/2.74 (step @p213 :rule nary_cong :premises (@p212 @p202) :args ((or @t256 @t251))) % 2.52/2.74 (step @p214 :rule trans :premises (@p213 @p201)) % 2.52/2.74 (step @p215 :rule bool-impl-elim :args (@t17 @t251)) % 2.52/2.74 (step @p216 :rule trans :premises (@p215 @p214)) % 2.52/2.74 (step @p217 :rule cong :premises (@p216) :args ((forall @t19 (=> @t17 @t251)))) % 2.52/2.74 (step @p218 :rule trans :premises (@p217 @p200)) % 2.52/2.74 (step @p219 :rule aci_norm :args ((= (or @t249 (or @t248 @t5)) @t250))) % 2.52/2.74 (step @p220 :rule bool-impl-elim :args (@t6 @t5)) % 2.52/2.74 (step @p221 :rule refl :args (@t249)) % 2.52/2.74 (step @p222 :rule nary_cong :premises (@p221 @p220) :args ((or @t249 @t7))) % 2.52/2.74 (step @p223 :rule trans :premises (@p222 @p219)) % 2.52/2.74 (step @p224 :rule bool-impl-elim :args (@t10 @t7)) % 2.52/2.74 (step @p225 :rule trans :premises (@p224 @p223)) % 2.52/2.74 (step @p226 :rule cong :premises (@p225) :args (@t12)) % 2.52/2.74 (step @p227 :rule refl :args (@t17)) % 2.52/2.74 (step @p228 :rule cong :premises (@p227 @p226) :args (@t18)) % 2.52/2.74 (step @p229 :rule cong :premises (@p228) :args (@t20)) % 2.52/2.74 (step @p230 :rule trans :premises (@p229 @p218)) % 2.52/2.74 (step @p231 :rule cong :premises (@p162 @p230) :args (@t26)) % 2.52/2.74 (step @p232 :rule cong :premises (@p231) :args (@t28)) % 2.52/2.74 (step @p233 :rule trans :premises (@p232 @p186)) % 2.52/2.74 (step @p234 :rule cong :premises (@p233) :args (@t29)) % 2.52/2.74 (step @p235 :rule eq_resolve :premises (@p1 @p234)) % 2.52/2.74 (step @p236 :rule skolemize :premises (@p235)) % 2.52/2.74 (step @p237 :rule bool-double-not-elim :args (@t257)) % 2.52/2.74 (step @p238 :rule refl :args (@t277)) % 2.52/2.74 (step @p239 :rule nary_cong :premises (@p238 @p237) :args ((or @t277 (not @t262)))) % 2.52/2.74 (step @p240 :rule cnf_or_neg :args (@t277 7)) % 2.52/2.74 (step @p241 :rule eq_resolve :premises (@p240 @p239)) % 2.52/2.74 (step @p242 :rule reordering :premises (@p241) :args ((or @t257 @t277))) % 2.52/2.74 (step @p243 :rule chain_m_resolution :premises (@p242 @p236) :args (@t257 @t278 @t279)) % 2.52/2.74 (step @p244 :rule bool-double-not-elim :args (@t265)) % 2.52/2.74 (step @p245 :rule nary_cong :premises (@p238 @p244) :args ((or @t277 (not @t266)))) % 2.52/2.74 (step @p246 :rule cnf_or_neg :args (@t277 6)) % 2.52/2.74 (step @p247 :rule eq_resolve :premises (@p246 @p245)) % 2.52/2.74 (step @p248 :rule reordering :premises (@p247) :args ((or @t265 @t277))) % 2.52/2.74 (step @p249 :rule chain_m_resolution :premises (@p248 @p236) :args (@t265 @t278 @t279)) % 2.52/2.74 (step @p250 :rule bool-double-not-elim :args (@t272)) % 2.52/2.74 (step @p251 :rule nary_cong :premises (@p238 @p250) :args ((or @t277 (not @t273)))) % 2.52/2.74 (step @p252 :rule cnf_or_neg :args (@t277 2)) % 2.52/2.74 (step @p253 :rule eq_resolve :premises (@p252 @p251)) % 2.52/2.74 (step @p254 :rule reordering :premises (@p253) :args ((or @t272 @t277))) % 2.52/2.74 (step @p255 :rule chain_m_resolution :premises (@p254 @p236) :args (@t272 @t278 @t279)) % 2.52/2.74 (step @p256 :rule bool-double-not-elim :args (@t274)) % 2.52/2.74 (step @p257 :rule nary_cong :premises (@p238 @p256) :args ((or @t277 (not @t275)))) % 2.52/2.74 (step @p258 :rule cnf_or_neg :args (@t277 1)) % 2.52/2.74 (step @p259 :rule eq_resolve :premises (@p258 @p257)) % 2.52/2.74 (step @p260 :rule reordering :premises (@p259) :args ((or @t274 @t277))) % 2.52/2.74 (step @p261 :rule chain_m_resolution :premises (@p260 @p236) :args (@t274 @t278 @t279)) % 2.52/2.74 (step @p262 :rule cnf_or_neg :args (@t277 0)) % 2.52/2.74 (step @p263 :rule chain_m_resolution :premises (@p262 @p236) :args ((not @t276) @t278 @t279)) % 2.52/2.74 (step @p264 :rule cnf_or_pos :args (@t282)) % 2.52/2.74 (step @p265 :rule reordering :premises (@p264) :args ((or @t276 @t275 @t273 @t266 @t262 @t281 (not @t282)))) % 2.52/2.74 (step @p266 :rule chain_m_resolution :premises (@p265 @p263 @p261 @p255 @p249 @p243 @p167) :args (@t281 (@list true false false false false false) (@list @t276 @t274 @t272 @t265 @t257 @t282))) % 2.52/2.74 (step @p267 :rule aci_norm :args ((= (or @t284 @t168) (or @t23 @t191 @t190 @t15 @t79 @t283 @t168)))) % 2.52/2.74 (step @p268 :rule refl :args (@t168)) % 2.52/2.74 (step @p269 :rule refl :args (@t283)) % 2.52/2.74 (step @p270 :rule nary_cong :premises (@p131 @p120 @p119 @p203 @p192 @p269) :args (@t285)) % 2.52/2.74 (step @p271 :rule aci_norm :args ((= (or @t207 (or @t191 (or @t190 (or @t254 (or @t79 @t283))))) @t285))) % 2.52/2.74 (step @p272 :rule trans :premises (@p271 @p270)) % 2.52/2.74 (step @p273 :rule bool-and-de-morgan :args (@t14 @t47 true)) % 2.52/2.74 (step @p274 :rule nary_cong :premises (@p208 @p273) :args ((or @t254 (not (and @t14 @t47))))) % 2.52/2.74 (step @p275 :rule bool-and-de-morgan :args (@t16 @t14 (and @t47))) % 2.52/2.74 (step @p276 :rule trans :premises (@p275 @p274)) % 2.52/2.74 (step @p277 :rule nary_cong :premises (@p119 @p276) :args ((or @t190 (not (and @t16 @t14 @t47))))) % 2.52/2.74 (step @p278 :rule bool-and-de-morgan :args (@t21 @t16 (and @t14 @t47))) % 2.52/2.74 (step @p279 :rule trans :premises (@p278 @p277)) % 2.52/2.74 (step @p280 :rule nary_cong :premises (@p120 @p279) :args ((or @t191 (not (and @t21 @t16 @t14 @t47))))) % 2.52/2.74 (step @p281 :rule bool-and-de-morgan :args (@t22 @t21 (and @t16 @t14 @t47))) % 2.52/2.74 (step @p282 :rule trans :premises (@p281 @p280)) % 2.52/2.74 (step @p283 :rule nary_cong :premises (@p136 @p282) :args ((or @t207 (not (and @t22 @t21 @t16 @t14 @t47))))) % 2.52/2.74 (step @p284 :rule bool-and-de-morgan :args (@t24 @t22 (and @t21 @t16 @t14 @t47))) % 2.52/2.74 (step @p285 :rule trans :premises (@p284 @p283)) % 2.52/2.74 (step @p286 :rule trans :premises (@p285 @p272)) % 2.52/2.74 (step @p287 :rule nary_cong :premises (@p286 @p268) :args ((or @t286 @t168))) % 2.52/2.74 (step @p288 :rule trans :premises (@p287 @p267)) % 2.52/2.74 (step @p289 :rule bool-impl-elim :args (@t138 @t168)) % 2.52/2.74 (step @p290 :rule trans :premises (@p289 @p288)) % 2.52/2.74 (step @p291 :rule cong :premises (@p290) :args (@t169)) % 2.52/2.74 (step @p292 :rule eq_resolve :premises (@p99 @p291)) % 2.52/2.74 (step @p293 :rule instantiate :premises (@p292) :args (@t287)) % 2.52/2.74 (step @p294 :rule quant-merge-prenex :args ((= (forall @t27 @t292) (forall (@list @t3 @t288) @t290)))) % 2.52/2.74 (step @p295 :rule alpha_equiv :args (@t293 (@list @t288) @t198)) % 2.52/2.74 (step @p296 :rule nary_cong :premises (@p119 @p295) :args (@t294)) % 2.52/2.74 (step @p297 :rule quant-miniscope-or :args ((= @t292 @t294))) % 2.52/2.74 (step @p298 :rule trans :premises (@p297 @p296)) % 2.52/2.74 (step @p299 :rule symm :premises (@p298)) % 2.52/2.74 (step @p300 :rule cong :premises (@p299) :args ((forall @t27 (or @t190 @t173)))) % 2.52/2.74 (step @p301 :rule trans :premises (@p300 @p294)) % 2.52/2.74 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@p755 :rule trans :premises (@p754 @p753)) % 2.52/2.74 (step @p756 :rule cong :premises (@p755) :args (@t171)) % 2.52/2.74 (step @p757 :rule eq_resolve :premises (@p100 @p756)) % 2.52/2.74 (step @p758 :rule instantiate :premises (@p757) :args ((@list @t263 @t390 @t280))) % 2.52/2.74 (step @p759 :rule true_intro :premises (@p249)) % 2.52/2.74 (step @p760 :rule refl :args (@t264)) % 2.52/2.74 (step @p761 :rule symm :premises (@p266)) % 2.52/2.74 (step @p762 :rule cong :premises (@p761 @p760) :args (@t510)) % 2.52/2.74 (step @p763 :rule trans :premises (@p762 @p759)) % 2.52/2.74 (step @p764 :rule true_elim :premises (@p763)) % 2.52/2.74 (step @p765 :rule cnf_or_pos :args (@t513)) % 2.52/2.74 (step @p766 :rule reordering :premises (@p765) :args ((or @t393 @t512 @t511 (not @t513)))) % 2.52/2.74 (step @p767 :rule chain_m_resolution :premises (@p766 @p572 @p764 @p758) :args (@t511 @t426 (@list @t392 @t510 @t513))) % 2.52/2.74 (step @p768 :rule instantiate :premises (@p49) :args ((@list @t222 @t390))) % 2.52/2.74 (step @p769 :rule refl :args (@t516)) % 2.52/2.74 (step @p770 :rule bool-double-not-elim :args (@t505)) % 2.52/2.74 (step @p771 :rule refl :args (@t517)) % 2.52/2.74 (step @p772 :rule refl :args (@t518)) % 2.52/2.74 (step @p773 :rule refl :args (@t519)) % 2.52/2.74 (step @p774 :rule refl :args (@t413)) % 2.52/2.74 (step @p775 :rule nary_cong :premises (@p774 @p773 @p772 @p771 @p770 @p769) :args ((or @t413 @t519 @t518 @t517 (not @t506) @t516))) % 2.52/2.74 (assume-push @p833 @t515) % 2.52/2.74 (assume-push @p834 @t516) % 2.52/2.74 (step @p778 :rule evaluate :args ((= false true))) % 2.52/2.74 (step @p779 :rule true_intro :premises (@p768)) % 2.52/2.74 (step @p780 :rule bool-eq-false :args (@t515)) % 2.52/2.74 (step @p781 :rule symm :premises (@p780)) % 2.52/2.74 (step @p782 :rule eq-symm :args (@t514 @t504)) % 2.52/2.74 (step @p783 :rule cong :premises (@p782) :args (@t521)) % 2.52/2.74 (step @p784 :rule bool-eq-false :args (@t520)) % 2.52/2.74 (step @p785 :rule trans :premises (@p784 @p783)) % 2.52/2.74 (step @p786 :rule trans :premises (@p785 @p781)) % 2.52/2.74 (step @p787 :rule false_intro :premises (@p748)) % 2.52/2.74 (step @p788 :rule refl :args (@t504)) % 2.52/2.74 (step @p789 :rule refl :args (@t222)) % 2.52/2.74 (step @p790 :rule symm :premises (@p329)) % 2.52/2.74 (step @p791 :rule refl :args (@t258)) % 2.52/2.74 (step @p792 :rule refl :args (@t223)) % 2.52/2.74 (step @p793 :rule cong :premises (@p792 @p791 @p790 @p789) :args (@t428)) % 2.52/2.74 (step @p794 :rule symm :premises (@p767)) % 2.52/2.74 (step @p795 :rule refl :args (@t390)) % 2.52/2.74 (step @p796 :rule cong :premises (@p795 @p266) :args (@t514)) % 2.52/2.74 (step @p797 :rule trans :premises (@p796 @p794 @p579 @p793)) % 2.52/2.74 (step @p798 :rule cong :premises (@p797 @p788) :args (@t520)) % 2.52/2.74 (step @p799 :rule trans :premises (@p798 @p787)) % 2.52/2.74 (step @p800 :rule eq_resolve :premises (@p799 @p786)) % 2.52/2.74 (step @p801 :rule symm :premises (@p800)) % 2.52/2.74 (step @p802 :rule trans :premises (@p801 @p779)) % 2.52/2.74 (step @p803 false :rule eq_resolve :premises (@p802 @p778)) % 2.52/2.74 (step-pop @p835 :rule scope :premises (@p803)) % 2.52/2.74 (step-pop @p836 :rule scope :premises (@p835)) % 2.52/2.74 (step @p804 :rule process_scope :premises (@p836) :args (false)) % 2.52/2.74 (assume-push @p837 @t300) % 2.52/2.74 (assume-push @p838 @t281) % 2.52/2.74 (assume-push @p839 @t430) % 2.52/2.74 (assume-push @p840 @t511) % 2.52/2.74 (assume-push @p841 @t506) % 2.52/2.74 (assume-push @p842 @t515) % 2.52/2.74 (step @p780 :rule bool-eq-false :args (@t515)) % 2.52/2.74 (step @p781 :rule symm :premises (@p780)) % 2.52/2.74 (step @p782 :rule eq-symm :args (@t514 @t504)) % 2.52/2.74 (step @p783 :rule cong :premises (@p782) :args (@t521)) % 2.52/2.74 (step @p784 :rule bool-eq-false :args (@t520)) % 2.52/2.74 (step @p785 :rule trans :premises (@p784 @p783)) % 2.52/2.74 (step @p786 :rule trans :premises (@p785 @p781)) % 2.52/2.74 (step @p787 :rule false_intro :premises (@p748)) % 2.52/2.74 (step @p788 :rule refl :args (@t504)) % 2.52/2.74 (step @p789 :rule refl :args (@t222)) % 2.52/2.74 (step @p790 :rule symm :premises (@p329)) % 2.52/2.74 (step @p791 :rule refl :args (@t258)) % 2.52/2.74 (step @p792 :rule refl :args (@t223)) % 2.52/2.74 (step @p793 :rule cong :premises (@p792 @p791 @p790 @p789) :args (@t428)) % 2.52/2.74 (step @p794 :rule symm :premises (@p767)) % 2.52/2.74 (step @p795 :rule refl :args (@t390)) % 2.52/2.74 (step @p796 :rule cong :premises (@p795 @p266) :args (@t514)) % 2.52/2.76 (step @p797 :rule trans :premises (@p796 @p794 @p579 @p793)) % 2.52/2.76 (step @p798 :rule cong :premises (@p797 @p788) :args (@t520)) % 2.52/2.76 (step @p799 :rule trans :premises (@p798 @p787)) % 2.52/2.76 (step @p813 :rule eq_resolve :premises (@p799 @p786)) % 2.52/2.76 (step @p814 :rule false_elim :premises (@p813)) % 2.52/2.76 (step @p815 :rule and_intro :premises (@p768 @p814)) % 2.52/2.76 (step-pop @p843 :rule scope :premises (@p815)) % 2.52/2.76 (step-pop @p844 :rule scope :premises (@p843)) % 2.52/2.76 (step-pop @p845 :rule scope :premises (@p844)) % 2.52/2.76 (step-pop @p846 :rule scope :premises (@p845)) % 2.52/2.76 (step-pop @p847 :rule scope :premises (@p846)) % 2.52/2.76 (step-pop @p848 :rule scope :premises (@p847)) % 2.52/2.76 (step @p816 :rule process_scope :premises (@p848) :args (@t522)) % 2.52/2.76 (step @p823 :rule implies_elim :premises (@p816)) % 2.52/2.76 (step @p824 :rule resolution :premises (@p823 @p804) :args (true @t522)) % 2.52/2.76 (step @p825 :rule not_and :premises (@p824)) % 2.52/2.76 (step @p826 :rule eq_resolve :premises (@p825 @p775)) % 2.52/2.76 (step @p827 :rule reordering :premises (@p826) :args ((or @t413 @t519 @t518 @t505 @t517 @t516))) % 2.52/2.76 (step @p828 false :rule chain_m_resolution :premises (@p827 @p768 @p767 @p748 @p579 @p329 @p266) :args (false (@list false false true false false false) (@list @t515 @t511 @t505 @t430 @t300 @t281))) % 2.52/2.76 ) % 2.52/2.76 % SZS output end Proof % 2.52/2.76 % cvc5 exiting %------------------------------------------------------------------------------