%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT378+1 : TPTP v9.2.1. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n022.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:30:34 AM UTC 2026 % Result : Theorem 0.72s 0.91s % Output : Proof 0.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT378+1 : TPTP v9.2.1. Released v3.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n022.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 06:58:53 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.72/0.91 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.72/0.91 % SZS status Theorem % 0.72/0.91 % SZS output start Proof % 0.72/0.91 ( % 0.72/0.91 (declare-sort $$unsorted 0) % 0.72/0.91 (declare-const tptp.k9_relat_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.72/0.91 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.72/0.91 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 0.72/0.91 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 0.72/0.91 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.72/0.91 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.72/0.91 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.72/0.91 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.72/0.91 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 0.72/0.91 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 0.72/0.91 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 0.72/0.91 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 0.72/0.91 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.72/0.91 (declare-const tptp.l1_orders_2 (-> $$unsorted Bool)) % 0.72/0.91 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 0.72/0.91 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.72/0.91 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 0.72/0.91 (declare-const tptp.k7_funct_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.72/0.91 (declare-const tptp.r4_waybel_0 (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.72/0.91 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 0.72/0.91 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.72/0.91 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 0.72/0.91 (declare-const tptp.k4_pre_topc (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.72/0.91 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 0.72/0.91 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 0.72/0.91 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 0.72/0.91 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 0.72/0.91 (declare-const tptp.v1_finset_1 (-> $$unsorted Bool)) % 0.72/0.91 (declare-const tptp.v4_ordinal2 (-> $$unsorted Bool)) % 0.72/0.91 (declare-const tptp.k5_relat_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.72/0.91 (declare-const tptp.v4_waybel34 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.72/0.91 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 0.72/0.91 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.72/0.91 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.72/0.91 (define @t1 () (@var "C" $$unsorted)) % 0.72/0.91 (define @t2 () (@var "A" $$unsorted)) % 0.72/0.91 (define @t3 () (@var "E" $$unsorted)) % 0.72/0.91 (define @t4 () (@var "D" $$unsorted)) % 0.72/0.91 (define @t5 () (tptp.u1_struct_0 @t1)) % 0.72/0.91 (define @t6 () (@var "B" $$unsorted)) % 0.72/0.91 (define @t7 () (tptp.u1_struct_0 @t6)) % 0.72/0.91 (define @t8 () (tptp.u1_struct_0 @t2)) % 0.72/0.91 (define @t9 () (tptp.v4_waybel34 (tptp.k7_funct_2 @t8 @t7 @t5 @t4 @t3) @t2 @t1)) % 0.72/0.91 (define @t10 () (tptp.v4_waybel34 @t3 @t6 @t1)) % 0.72/0.91 (define @t11 () (tptp.v4_waybel34 @t4 @t2 @t6)) % 0.72/0.91 (define @t12 () (and @t11 @t10)) % 0.72/0.91 (define @t13 () (=> @t12 @t9)) % 0.72/0.91 (define @t14 () (tptp.m2_relset_1 @t3 @t7 @t5)) % 0.72/0.91 (define @t15 () (tptp.v1_funct_2 @t3 @t7 @t5)) % 0.72/0.91 (define @t16 () (tptp.v1_funct_1 @t3)) % 0.72/0.91 (define @t17 () (and @t16 @t15 @t14)) % 0.72/0.91 (define @t18 () (@list @t3)) % 0.72/0.91 (define @t19 () (forall @t18 (=> @t17 @t13))) % 0.72/0.91 (define @t20 () (tptp.m2_relset_1 @t4 @t8 @t7)) % 0.72/0.91 (define @t21 () (tptp.v1_funct_2 @t4 @t8 @t7)) % 0.72/0.91 (define @t22 () (tptp.v1_funct_1 @t4)) % 0.72/0.91 (define @t23 () (and @t22 @t21 @t20)) % 0.72/0.91 (define @t24 () (=> @t23 @t19)) % 0.72/0.91 (define @t25 () (@list @t4)) % 0.72/0.91 (define @t26 () (forall @t25 @t24)) % 0.72/0.91 (define @t27 () (tptp.l1_orders_2 @t1)) % 0.72/0.91 (define @t28 () (tptp.v3_struct_0 @t1)) % 0.72/0.91 (define @t29 () (not @t28)) % 0.72/0.91 (define @t30 () (and @t29 @t27)) % 0.72/0.91 (define @t31 () (=> @t30 @t26)) % 0.72/0.91 (define @t32 () (@list @t1)) % 0.72/0.91 (define @t33 () (forall @t32 @t31)) % 0.72/0.91 (define @t34 () (tptp.l1_orders_2 @t6)) % 0.72/0.91 (define @t35 () (tptp.v3_struct_0 @t6)) % 0.72/0.91 (define @t36 () (not @t35)) % 0.72/0.91 (define @t37 () (and @t36 @t34)) % 0.72/0.91 (define @t38 () (=> @t37 @t33)) % 0.72/0.91 (define @t39 () (@list @t6)) % 0.72/0.91 (define @t40 () (forall @t39 @t38)) % 0.72/0.91 (define @t41 () (tptp.l1_orders_2 @t2)) % 0.72/0.91 (define @t42 () (tptp.v3_struct_0 @t2)) % 0.72/0.91 (define @t43 () (not @t42)) % 0.72/0.91 (define @t44 () (and @t43 @t41)) % 0.72/0.91 (define @t45 () (=> @t44 @t40)) % 0.72/0.91 (define @t46 () (@list @t2)) % 0.72/0.91 (define @t47 () (forall @t46 @t45)) % 0.72/0.91 (define @t48 () (not @t47)) % 0.72/0.91 (define @t49 () (tptp.r2_hidden @t2 @t6)) % 0.72/0.91 (define @t50 () (@list @t2 @t6)) % 0.72/0.91 (define @t51 () (tptp.v1_xcmplx_0 @t6)) % 0.72/0.91 (define @t52 () (tptp.m1_subset_1 @t6 @t2)) % 0.72/0.91 (define @t53 () (tptp.v1_membered @t2)) % 0.72/0.91 (define @t54 () (tptp.v1_xreal_0 @t6)) % 0.72/0.91 (define @t55 () (tptp.v2_membered @t2)) % 0.72/0.91 (define @t56 () (tptp.v1_rat_1 @t6)) % 0.72/0.91 (define @t57 () (tptp.v3_membered @t2)) % 0.72/0.91 (define @t58 () (tptp.v1_int_1 @t6)) % 0.72/0.91 (define @t59 () (tptp.v4_membered @t2)) % 0.72/0.91 (define @t60 () (tptp.v5_membered @t2)) % 0.72/0.91 (define @t61 () (tptp.v1_xboole_0 @t2)) % 0.72/0.91 (define @t62 () (tptp.v1_membered @t6)) % 0.72/0.91 (define @t63 () (tptp.k1_zfmisc_1 @t2)) % 0.72/0.91 (define @t64 () (tptp.m1_subset_1 @t6 @t63)) % 0.72/0.91 (define @t65 () (tptp.v2_membered @t6)) % 0.72/0.91 (define @t66 () (tptp.v3_membered @t6)) % 0.72/0.91 (define @t67 () (tptp.v4_membered @t6)) % 0.72/0.91 (define @t68 () (tptp.v1_finset_1 @t2)) % 0.72/0.91 (define @t69 () (tptp.v1_funct_1 @t2)) % 0.72/0.91 (define @t70 () (tptp.v1_relat_1 @t1)) % 0.72/0.91 (define @t71 () (tptp.k2_zfmisc_1 @t2 @t6)) % 0.72/0.91 (define @t72 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t71))) % 0.72/0.91 (define @t73 () (@list @t2 @t6 @t1)) % 0.72/0.91 (define @t74 () (forall @t73 (=> @t72 @t70))) % 0.72/0.91 (define @t75 () (tptp.v1_finset_1 @t6)) % 0.72/0.91 (define @t76 () (tptp.v1_relat_1 @t2)) % 0.72/0.91 (define @t77 () (and @t76 @t69 (tptp.v2_funct_1 @t2))) % 0.72/0.91 (define @t78 () (and @t76 @t61 @t69)) % 0.72/0.91 (define @t79 () (tptp.r4_waybel_0 @t2 @t6 @t1 @t4)) % 0.72/0.91 (define @t80 () (tptp.k1_zfmisc_1 @t8)) % 0.72/0.91 (define @t81 () (tptp.m1_subset_1 @t4 @t80)) % 0.72/0.91 (define @t82 () (tptp.v1_finset_1 @t4)) % 0.72/0.91 (define @t83 () (and @t82 @t81)) % 0.72/0.91 (define @t84 () (forall @t25 (=> @t83 @t79))) % 0.72/0.91 (define @t85 () (tptp.v4_waybel34 @t1 @t2 @t6)) % 0.72/0.91 (define @t86 () (= @t85 @t84)) % 0.72/0.91 (define @t87 () (tptp.m2_relset_1 @t1 @t8 @t7)) % 0.72/0.91 (define @t88 () (tptp.v1_funct_2 @t1 @t8 @t7)) % 0.72/0.91 (define @t89 () (tptp.v1_funct_1 @t1)) % 0.72/0.91 (define @t90 () (and @t89 @t88 @t87)) % 0.72/0.91 (define @t91 () (=> @t90 @t86)) % 0.72/0.91 (define @t92 () (forall @t32 @t91)) % 0.72/0.91 (define @t93 () (=> @t37 @t92)) % 0.72/0.91 (define @t94 () (forall @t39 @t93)) % 0.72/0.91 (define @t95 () (=> @t44 @t94)) % 0.72/0.91 (define @t96 () (forall @t46 @t95)) % 0.72/0.91 (define @t97 () (tptp.k4_pre_topc @t2 @t6 @t1 @t4)) % 0.72/0.91 (define @t98 () (tptp.m1_subset_1 @t97 (tptp.k1_zfmisc_1 @t7))) % 0.72/0.91 (define @t99 () (tptp.m1_relset_1 @t1 @t8 @t7)) % 0.72/0.91 (define @t100 () (tptp.l1_struct_0 @t6)) % 0.72/0.91 (define @t101 () (tptp.l1_struct_0 @t2)) % 0.72/0.91 (define @t102 () (and @t101 @t100 @t89 @t88 @t99)) % 0.72/0.91 (define @t103 () (@list @t2 @t6 @t1 @t4)) % 0.72/0.91 (define @t104 () (forall @t103 (=> @t102 @t98))) % 0.72/0.91 (define @t105 () (tptp.k5_relat_1 @t2 @t6)) % 0.72/0.91 (define @t106 () (tptp.v1_relat_1 @t105)) % 0.72/0.91 (define @t107 () (tptp.v1_relat_1 @t6)) % 0.72/0.91 (define @t108 () (tptp.k7_funct_2 @t2 @t6 @t1 @t4 @t3)) % 0.72/0.91 (define @t109 () (and (tptp.v1_funct_1 @t108) (tptp.v1_funct_2 @t108 @t2 @t1) (tptp.m2_relset_1 @t108 @t2 @t1))) % 0.72/0.91 (define @t110 () (tptp.m1_relset_1 @t3 @t6 @t1)) % 0.72/0.91 (define @t111 () (tptp.v1_funct_2 @t3 @t6 @t1)) % 0.72/0.91 (define @t112 () (tptp.m1_relset_1 @t4 @t2 @t6)) % 0.72/0.91 (define @t113 () (tptp.v1_funct_2 @t4 @t2 @t6)) % 0.72/0.91 (define @t114 () (tptp.v1_xboole_0 @t6)) % 0.72/0.91 (define @t115 () (not @t114)) % 0.72/0.91 (define @t116 () (and @t115 @t22 @t113 @t112 @t16 @t111 @t110)) % 0.72/0.91 (define @t117 () (@list @t2 @t6 @t1 @t4 @t3)) % 0.72/0.91 (define @t118 () (forall @t117 (=> @t116 @t109))) % 0.72/0.91 (define @t119 () (forall @t46 (=> @t41 @t101))) % 0.72/0.91 (define @t120 () (tptp.m2_relset_1 @t1 @t2 @t6)) % 0.72/0.91 (define @t121 () (forall @t73 (=> @t120 @t72))) % 0.72/0.91 (define @t122 () (tptp.m1_relset_1 @t1 @t2 @t6)) % 0.72/0.91 (define @t123 () (tptp.v1_finset_1 (tptp.k9_relat_1 @t2 @t6))) % 0.72/0.91 (define @t124 () (and @t76 @t69 @t75)) % 0.72/0.91 (define @t125 () (forall @t50 (=> @t124 @t123))) % 0.72/0.91 (define @t126 () (not (tptp.v1_xboole_0 @t8))) % 0.72/0.91 (define @t127 () (and @t43 @t101)) % 0.72/0.91 (define @t128 () (forall @t46 (=> @t127 @t126))) % 0.72/0.91 (define @t129 () (tptp.k9_relat_1 @t1 @t4)) % 0.72/0.91 (define @t130 () (not @t61)) % 0.72/0.91 (define @t131 () (= @t97 @t129)) % 0.72/0.91 (define @t132 () (forall @t103 (=> @t102 @t131))) % 0.72/0.91 (define @t133 () (tptp.m1_subset_1 @t2 @t6)) % 0.72/0.91 (define @t134 () (tptp.m1_subset_1 @t6 (tptp.k1_zfmisc_1 @t1))) % 0.72/0.91 (define @t135 () (@var "F" $$unsorted)) % 0.72/0.91 (define @t136 () (tptp.r4_waybel_0 @t2 @t1 (tptp.k7_funct_2 @t8 @t7 @t5 @t3 @t135) @t4)) % 0.72/0.91 (define @t137 () (tptp.k4_pre_topc @t2 @t6 @t3 @t4)) % 0.72/0.91 (define @t138 () (tptp.r4_waybel_0 @t6 @t1 @t135 @t137)) % 0.72/0.91 (define @t139 () (tptp.r4_waybel_0 @t2 @t6 @t3 @t4)) % 0.72/0.91 (define @t140 () (and @t139 @t138)) % 0.72/0.91 (define @t141 () (=> @t140 @t136)) % 0.72/0.91 (define @t142 () (tptp.m2_relset_1 @t135 @t7 @t5)) % 0.72/0.91 (define @t143 () (tptp.v1_funct_2 @t135 @t7 @t5)) % 0.72/0.91 (define @t144 () (tptp.v1_funct_1 @t135)) % 0.72/0.91 (define @t145 () (and @t144 @t143 @t142)) % 0.72/0.91 (define @t146 () (@list @t135)) % 0.72/0.91 (define @t147 () (forall @t146 (=> @t145 @t141))) % 0.72/0.91 (define @t148 () (tptp.m2_relset_1 @t3 @t8 @t7)) % 0.72/0.91 (define @t149 () (tptp.v1_funct_2 @t3 @t8 @t7)) % 0.72/0.91 (define @t150 () (and @t16 @t149 @t148)) % 0.72/0.91 (define @t151 () (=> @t150 @t147)) % 0.72/0.91 (define @t152 () (forall @t18 @t151)) % 0.72/0.91 (define @t153 () (=> @t81 @t152)) % 0.72/0.91 (define @t154 () (forall @t25 @t153)) % 0.72/0.91 (define @t155 () (=> @t30 @t154)) % 0.72/0.91 (define @t156 () (forall @t32 @t155)) % 0.72/0.91 (define @t157 () (=> @t37 @t156)) % 0.72/0.91 (define @t158 () (forall @t39 @t157)) % 0.72/0.91 (define @t159 () (=> @t44 @t158)) % 0.72/0.91 (define @t160 () (forall @t46 @t159)) % 0.72/0.91 (define @t161 () (not @t75)) % 0.72/0.91 (define @t162 () (not @t69)) % 0.72/0.91 (define @t163 () (not @t76)) % 0.72/0.91 (define @t164 () (or @t163 @t162 @t161)) % 0.72/0.91 (define @t165 () (@var "BOUND_VARIABLE_7929" $$unsorted)) % 0.72/0.91 (define @t166 () (@var "BOUND_VARIABLE_7933" $$unsorted)) % 0.72/0.91 (define @t167 () (@var "BOUND_VARIABLE_7931" $$unsorted)) % 0.72/0.91 (define @t168 () (tptp.u1_struct_0 @t165)) % 0.72/0.91 (define @t169 () (@var "BOUND_VARIABLE_7927" $$unsorted)) % 0.72/0.91 (define @t170 () (tptp.u1_struct_0 @t169)) % 0.72/0.91 (define @t171 () (tptp.v4_waybel34 (tptp.k7_funct_2 @t8 @t170 @t168 @t167 @t166) @t2 @t165)) % 0.72/0.91 (define @t172 () (not (tptp.v4_waybel34 @t166 @t169 @t165))) % 0.72/0.91 (define @t173 () (not (tptp.m2_relset_1 @t166 @t170 @t168))) % 0.72/0.91 (define @t174 () (not (tptp.v1_funct_2 @t166 @t170 @t168))) % 0.72/0.91 (define @t175 () (not (tptp.v1_funct_1 @t166))) % 0.72/0.91 (define @t176 () (not (tptp.v4_waybel34 @t167 @t2 @t169))) % 0.72/0.91 (define @t177 () (not (tptp.m2_relset_1 @t167 @t8 @t170))) % 0.72/0.91 (define @t178 () (not (tptp.v1_funct_2 @t167 @t8 @t170))) % 0.72/0.91 (define @t179 () (not (tptp.v1_funct_1 @t167))) % 0.72/0.91 (define @t180 () (not (tptp.l1_orders_2 @t165))) % 0.72/0.91 (define @t181 () (tptp.v3_struct_0 @t165)) % 0.72/0.91 (define @t182 () (not (tptp.l1_orders_2 @t169))) % 0.72/0.91 (define @t183 () (tptp.v3_struct_0 @t169)) % 0.72/0.91 (define @t184 () (not @t41)) % 0.72/0.91 (define @t185 () (or @t42 @t184 @t183 @t182 @t181 @t180 @t179 @t178 @t177 @t176 @t175 @t174 @t173 @t172 @t171)) % 0.72/0.91 (define @t186 () (@list @t2 @t169 @t165 @t167 @t166)) % 0.72/0.91 (define @t187 () (forall @t186 @t185)) % 0.72/0.91 (define @t188 () (@quantifiers_skolemize @t187 4)) % 0.72/0.91 (define @t189 () (@quantifiers_skolemize @t187 3)) % 0.72/0.91 (define @t190 () (@quantifiers_skolemize @t187 2)) % 0.72/0.91 (define @t191 () (tptp.u1_struct_0 @t190)) % 0.72/0.91 (define @t192 () (@quantifiers_skolemize @t187 1)) % 0.72/0.91 (define @t193 () (tptp.u1_struct_0 @t192)) % 0.72/0.91 (define @t194 () (@quantifiers_skolemize @t187 0)) % 0.72/0.91 (define @t195 () (tptp.u1_struct_0 @t194)) % 0.72/0.91 (define @t196 () (tptp.k7_funct_2 @t195 @t193 @t191 @t189 @t188)) % 0.72/0.91 (define @t197 () (tptp.k1_zfmisc_1 @t195)) % 0.72/0.91 (define @t198 () (not (tptp.m1_subset_1 @t4 @t197))) % 0.72/0.91 (define @t199 () (not @t82)) % 0.72/0.91 (define @t200 () (forall @t25 (or @t199 @t198 (tptp.r4_waybel_0 @t194 @t190 @t196 @t4)))) % 0.72/0.91 (define @t201 () (@quantifiers_skolemize @t200 0)) % 0.72/0.91 (define @t202 () (@var "BOUND_VARIABLE_8284" $$unsorted)) % 0.72/0.91 (define @t203 () (@var "BOUND_VARIABLE_8282" $$unsorted)) % 0.72/0.91 (define @t204 () (not @t81)) % 0.72/0.91 (define @t205 () (= (tptp.v4_waybel34 @t202 @t2 @t203) (forall @t25 (or @t199 @t204 (tptp.r4_waybel_0 @t2 @t203 @t202 @t4))))) % 0.72/0.91 (define @t206 () (tptp.u1_struct_0 @t203)) % 0.72/0.91 (define @t207 () (not (tptp.m2_relset_1 @t202 @t8 @t206))) % 0.72/0.91 (define @t208 () (not (tptp.v1_funct_2 @t202 @t8 @t206))) % 0.72/0.91 (define @t209 () (not (tptp.v1_funct_1 @t202))) % 0.72/0.91 (define @t210 () (not (tptp.l1_orders_2 @t203))) % 0.72/0.91 (define @t211 () (tptp.v3_struct_0 @t203)) % 0.72/0.91 (define @t212 () (or @t211 @t210 @t209 @t208 @t207 @t205)) % 0.72/0.91 (define @t213 () (or @t42 @t184 @t212)) % 0.72/0.91 (define @t214 () (forall (@list @t2 @t203 @t202) @t213)) % 0.72/0.91 (define @t215 () (@list @t203 @t202)) % 0.72/0.91 (define @t216 () (forall @t215 @t213)) % 0.72/0.91 (define @t217 () (forall @t215 @t212)) % 0.72/0.91 (define @t218 () (@var "BOUND_VARIABLE_8259" $$unsorted)) % 0.72/0.91 (define @t219 () (or @t42 @t184 @t217)) % 0.72/0.91 (define @t220 () (= (tptp.v4_waybel34 @t218 @t2 @t6) (forall @t25 (or @t199 @t204 (tptp.r4_waybel_0 @t2 @t6 @t218 @t4))))) % 0.72/0.91 (define @t221 () (not (tptp.m2_relset_1 @t218 @t8 @t7))) % 0.72/0.91 (define @t222 () (not (tptp.v1_funct_2 @t218 @t8 @t7))) % 0.72/0.91 (define @t223 () (not (tptp.v1_funct_1 @t218))) % 0.72/0.91 (define @t224 () (not @t34)) % 0.72/0.91 (define @t225 () (or @t35 @t224 @t223 @t222 @t221 @t220)) % 0.72/0.91 (define @t226 () (@list @t6 @t218)) % 0.72/0.91 (define @t227 () (forall @t226 @t225)) % 0.72/0.91 (define @t228 () (or @t42 @t184 @t227)) % 0.72/0.91 (define @t229 () (or @t42 @t184)) % 0.72/0.91 (define @t230 () (not @t43)) % 0.72/0.91 (define @t231 () (not @t44)) % 0.72/0.91 (define @t232 () (or @t223 @t222 @t221 @t220)) % 0.72/0.91 (define @t233 () (or @t35 @t224 @t232)) % 0.72/0.91 (define @t234 () (forall @t226 @t233)) % 0.72/0.91 (define @t235 () (@list @t218)) % 0.72/0.91 (define @t236 () (forall @t235 @t233)) % 0.72/0.91 (define @t237 () (forall @t235 @t232)) % 0.72/0.91 (define @t238 () (or @t35 @t224 @t237)) % 0.72/0.91 (define @t239 () (or @t199 @t204 @t79)) % 0.72/0.91 (define @t240 () (= @t85 (forall @t25 @t239))) % 0.72/0.91 (define @t241 () (not @t87)) % 0.72/0.91 (define @t242 () (not @t88)) % 0.72/0.91 (define @t243 () (not @t89)) % 0.72/0.91 (define @t244 () (or @t243 @t242 @t241 @t240)) % 0.72/0.91 (define @t245 () (forall @t32 @t244)) % 0.72/0.91 (define @t246 () (or @t35 @t224 @t245)) % 0.72/0.91 (define @t247 () (or @t35 @t224)) % 0.72/0.91 (define @t248 () (not @t37)) % 0.72/0.91 (define @t249 () (or @t243 @t242 @t241)) % 0.72/0.91 (define @t250 () (not @t110)) % 0.72/0.91 (define @t251 () (not @t111)) % 0.72/0.91 (define @t252 () (not @t16)) % 0.72/0.91 (define @t253 () (not @t112)) % 0.72/0.91 (define @t254 () (not @t113)) % 0.72/0.91 (define @t255 () (not @t22)) % 0.72/0.91 (define @t256 () (not @t115)) % 0.72/0.91 (define @t257 () (or @t256 @t255 @t254 @t253 @t252 @t251 @t250)) % 0.72/0.91 (define @t258 () (or @t183 @t182 @t181 @t180 @t179 @t178 @t177 @t176 @t175 @t174 @t173 @t172 @t171)) % 0.72/0.91 (define @t259 () (or @t42 @t184 @t258)) % 0.72/0.91 (define @t260 () (forall @t186 @t259)) % 0.72/0.91 (define @t261 () (@list @t169 @t165 @t167 @t166)) % 0.72/0.91 (define @t262 () (forall @t261 @t259)) % 0.72/0.91 (define @t263 () (forall @t261 @t258)) % 0.72/0.91 (define @t264 () (@var "BOUND_VARIABLE_7890" $$unsorted)) % 0.72/0.91 (define @t265 () (@var "BOUND_VARIABLE_7888" $$unsorted)) % 0.72/0.91 (define @t266 () (@var "BOUND_VARIABLE_7886" $$unsorted)) % 0.72/0.91 (define @t267 () (or @t42 @t184 @t263)) % 0.72/0.91 (define @t268 () (tptp.u1_struct_0 @t266)) % 0.72/0.91 (define @t269 () (tptp.v4_waybel34 (tptp.k7_funct_2 @t8 @t7 @t268 @t265 @t264) @t2 @t266)) % 0.72/0.91 (define @t270 () (not (tptp.v4_waybel34 @t264 @t6 @t266))) % 0.72/0.91 (define @t271 () (not (tptp.m2_relset_1 @t264 @t7 @t268))) % 0.72/0.91 (define @t272 () (not (tptp.v1_funct_2 @t264 @t7 @t268))) % 0.72/0.91 (define @t273 () (not (tptp.v1_funct_1 @t264))) % 0.72/0.91 (define @t274 () (not (tptp.v4_waybel34 @t265 @t2 @t6))) % 0.72/0.91 (define @t275 () (not (tptp.m2_relset_1 @t265 @t8 @t7))) % 0.72/0.91 (define @t276 () (not (tptp.v1_funct_2 @t265 @t8 @t7))) % 0.72/0.91 (define @t277 () (not (tptp.v1_funct_1 @t265))) % 0.72/0.91 (define @t278 () (not (tptp.l1_orders_2 @t266))) % 0.72/0.91 (define @t279 () (tptp.v3_struct_0 @t266)) % 0.72/0.91 (define @t280 () (or @t35 @t224 @t279 @t278 @t277 @t276 @t275 @t274 @t273 @t272 @t271 @t270 @t269)) % 0.72/0.91 (define @t281 () (@list @t6 @t266 @t265 @t264)) % 0.72/0.91 (define @t282 () (forall @t281 @t280)) % 0.72/0.91 (define @t283 () (or @t42 @t184 @t282)) % 0.72/0.91 (define @t284 () (or @t279 @t278 @t277 @t276 @t275 @t274 @t273 @t272 @t271 @t270 @t269)) % 0.72/0.91 (define @t285 () (or @t35 @t224 @t284)) % 0.72/0.91 (define @t286 () (forall @t281 @t285)) % 0.72/0.91 (define @t287 () (@list @t266 @t265 @t264)) % 0.72/0.91 (define @t288 () (forall @t287 @t285)) % 0.72/0.91 (define @t289 () (forall @t287 @t284)) % 0.72/0.91 (define @t290 () (@var "BOUND_VARIABLE_7853" $$unsorted)) % 0.72/0.91 (define @t291 () (@var "BOUND_VARIABLE_7851" $$unsorted)) % 0.72/0.91 (define @t292 () (or @t35 @t224 @t289)) % 0.72/0.91 (define @t293 () (tptp.v4_waybel34 (tptp.k7_funct_2 @t8 @t7 @t5 @t291 @t290) @t2 @t1)) % 0.72/0.91 (define @t294 () (not (tptp.v4_waybel34 @t290 @t6 @t1))) % 0.72/0.91 (define @t295 () (not (tptp.m2_relset_1 @t290 @t7 @t5))) % 0.72/0.91 (define @t296 () (not (tptp.v1_funct_2 @t290 @t7 @t5))) % 0.72/0.91 (define @t297 () (not (tptp.v1_funct_1 @t290))) % 0.72/0.91 (define @t298 () (not (tptp.v4_waybel34 @t291 @t2 @t6))) % 0.72/0.91 (define @t299 () (not (tptp.m2_relset_1 @t291 @t8 @t7))) % 0.72/0.91 (define @t300 () (not (tptp.v1_funct_2 @t291 @t8 @t7))) % 0.72/0.91 (define @t301 () (not (tptp.v1_funct_1 @t291))) % 0.72/0.91 (define @t302 () (not @t27)) % 0.72/0.91 (define @t303 () (or @t28 @t302 @t301 @t300 @t299 @t298 @t297 @t296 @t295 @t294 @t293)) % 0.72/0.91 (define @t304 () (@list @t1 @t291 @t290)) % 0.72/0.91 (define @t305 () (forall @t304 @t303)) % 0.72/0.91 (define @t306 () (or @t35 @t224 @t305)) % 0.72/0.91 (define @t307 () (or @t301 @t300 @t299 @t298 @t297 @t296 @t295 @t294 @t293)) % 0.72/0.91 (define @t308 () (or @t28 @t302 @t307)) % 0.72/0.91 (define @t309 () (forall @t304 @t308)) % 0.72/0.91 (define @t310 () (@list @t291 @t290)) % 0.72/0.91 (define @t311 () (forall @t310 @t308)) % 0.72/0.91 (define @t312 () (forall @t310 @t307)) % 0.72/0.91 (define @t313 () (@var "BOUND_VARIABLE_7826" $$unsorted)) % 0.72/0.91 (define @t314 () (or @t28 @t302 @t312)) % 0.72/0.91 (define @t315 () (tptp.v4_waybel34 (tptp.k7_funct_2 @t8 @t7 @t5 @t4 @t313) @t2 @t1)) % 0.72/0.91 (define @t316 () (not (tptp.v4_waybel34 @t313 @t6 @t1))) % 0.72/0.91 (define @t317 () (not (tptp.m2_relset_1 @t313 @t7 @t5))) % 0.72/0.91 (define @t318 () (not (tptp.v1_funct_2 @t313 @t7 @t5))) % 0.72/0.91 (define @t319 () (not (tptp.v1_funct_1 @t313))) % 0.72/0.91 (define @t320 () (not @t11)) % 0.72/0.91 (define @t321 () (not @t20)) % 0.72/0.91 (define @t322 () (not @t21)) % 0.72/0.91 (define @t323 () (or @t255 @t322 @t321 @t320 @t319 @t318 @t317 @t316 @t315)) % 0.72/0.91 (define @t324 () (@list @t4 @t313)) % 0.72/0.91 (define @t325 () (forall @t324 @t323)) % 0.72/0.91 (define @t326 () (or @t28 @t302 @t325)) % 0.72/0.91 (define @t327 () (or @t28 @t302)) % 0.72/0.91 (define @t328 () (not @t30)) % 0.72/0.91 (define @t329 () (or @t319 @t318 @t317 @t316 @t315)) % 0.72/0.91 (define @t330 () (or @t255 @t322 @t321 @t320 @t329)) % 0.72/0.91 (define @t331 () (forall @t324 @t330)) % 0.72/0.91 (define @t332 () (@list @t313)) % 0.72/0.91 (define @t333 () (forall @t332 @t330)) % 0.72/0.91 (define @t334 () (forall @t332 @t329)) % 0.72/0.91 (define @t335 () (or @t255 @t322 @t321 @t320 @t334)) % 0.72/0.91 (define @t336 () (not @t10)) % 0.72/0.91 (define @t337 () (not @t14)) % 0.72/0.91 (define @t338 () (not @t15)) % 0.72/0.91 (define @t339 () (or @t252 @t338 @t337 @t336 @t9)) % 0.72/0.91 (define @t340 () (forall @t18 @t339)) % 0.72/0.91 (define @t341 () (or @t255 @t322 @t321 @t320 @t340)) % 0.72/0.91 (define @t342 () (or @t320 @t340)) % 0.72/0.91 (define @t343 () (or @t255 @t322 @t321)) % 0.72/0.91 (define @t344 () (or @t320 @t339)) % 0.72/0.91 (define @t345 () (or @t252 @t338 @t337 @t320 @t336 @t9)) % 0.72/0.91 (define @t346 () (or @t320 @t336 @t9)) % 0.72/0.91 (define @t347 () (or @t252 @t338 @t337)) % 0.72/0.91 (define @t348 () (tptp.m2_relset_1 @t188 @t193 @t191)) % 0.72/0.91 (define @t349 () (tptp.v4_waybel34 @t196 @t194 @t190)) % 0.72/0.91 (define @t350 () (tptp.v4_waybel34 @t188 @t192 @t190)) % 0.72/0.91 (define @t351 () (not @t350)) % 0.72/0.91 (define @t352 () (not @t348)) % 0.72/0.91 (define @t353 () (tptp.v1_funct_2 @t188 @t193 @t191)) % 0.72/0.91 (define @t354 () (not @t353)) % 0.72/0.91 (define @t355 () (tptp.v1_funct_1 @t188)) % 0.72/0.91 (define @t356 () (not @t355)) % 0.72/0.91 (define @t357 () (tptp.v4_waybel34 @t189 @t194 @t192)) % 0.72/0.91 (define @t358 () (not @t357)) % 0.72/0.91 (define @t359 () (tptp.m2_relset_1 @t189 @t195 @t193)) % 0.72/0.91 (define @t360 () (not @t359)) % 0.72/0.91 (define @t361 () (tptp.v1_funct_2 @t189 @t195 @t193)) % 0.72/0.91 (define @t362 () (not @t361)) % 0.72/0.91 (define @t363 () (tptp.v1_funct_1 @t189)) % 0.72/0.91 (define @t364 () (not @t363)) % 0.72/0.91 (define @t365 () (tptp.l1_orders_2 @t190)) % 0.72/0.91 (define @t366 () (not @t365)) % 0.72/0.91 (define @t367 () (tptp.v3_struct_0 @t190)) % 0.72/0.91 (define @t368 () (tptp.l1_orders_2 @t192)) % 0.72/0.91 (define @t369 () (not @t368)) % 0.72/0.91 (define @t370 () (tptp.v3_struct_0 @t192)) % 0.72/0.91 (define @t371 () (tptp.l1_orders_2 @t194)) % 0.72/0.91 (define @t372 () (not @t371)) % 0.72/0.91 (define @t373 () (tptp.v3_struct_0 @t194)) % 0.72/0.91 (define @t374 () (or @t373 @t372 @t370 @t369 @t367 @t366 @t364 @t362 @t360 @t358 @t356 @t354 @t352 @t351 @t349)) % 0.72/0.91 (define @t375 () (@list true)) % 0.72/0.91 (define @t376 () (@list @t374)) % 0.72/0.91 (define @t377 () (tptp.m1_relset_1 @t188 @t193 @t191)) % 0.72/0.91 (define @t378 () (= @t348 @t377)) % 0.72/0.91 (define @t379 () (@list false false)) % 0.72/0.91 (define @t380 () (@list @t195 @t193 @t189)) % 0.72/0.91 (define @t381 () (tptp.m1_relset_1 @t189 @t195 @t193)) % 0.72/0.91 (define @t382 () (= @t359 @t381)) % 0.72/0.91 (define @t383 () (not @t101)) % 0.72/0.91 (define @t384 () (@list @t192)) % 0.72/0.91 (define @t385 () (tptp.l1_struct_0 @t192)) % 0.72/0.91 (define @t386 () (or @t369 @t385)) % 0.72/0.91 (define @t387 () (tptp.v1_xboole_0 @t193)) % 0.72/0.91 (define @t388 () (not @t387)) % 0.72/0.91 (define @t389 () (not @t385)) % 0.72/0.91 (define @t390 () (or @t370 @t389 @t388)) % 0.72/0.91 (define @t391 () (@list true false false)) % 0.72/0.91 (define @t392 () (tptp.m2_relset_1 @t196 @t195 @t191)) % 0.72/0.91 (define @t393 () (tptp.v1_funct_2 @t196 @t195 @t191)) % 0.72/0.91 (define @t394 () (tptp.v1_funct_1 @t196)) % 0.72/0.91 (define @t395 () (and @t394 @t393 @t392)) % 0.72/0.91 (define @t396 () (not @t377)) % 0.72/0.91 (define @t397 () (not @t381)) % 0.72/0.91 (define @t398 () (or @t387 @t364 @t362 @t397 @t356 @t354 @t396 @t395)) % 0.72/0.91 (define @t399 () (not @t395)) % 0.72/0.91 (define @t400 () (@list false)) % 0.72/0.91 (define @t401 () (@list @t395)) % 0.72/0.91 (define @t402 () (= @t349 @t200)) % 0.72/0.91 (define @t403 () (not @t392)) % 0.72/0.91 (define @t404 () (not @t393)) % 0.72/0.91 (define @t405 () (not @t394)) % 0.72/0.91 (define @t406 () (or @t373 @t372 @t367 @t366 @t405 @t404 @t403 @t402)) % 0.72/0.91 (define @t407 () (@list true false true false false false false false)) % 0.72/0.91 (define @t408 () (not @t200)) % 0.72/0.91 (define @t409 () (tptp.v1_finset_1 @t201)) % 0.72/0.91 (define @t410 () (tptp.r4_waybel_0 @t194 @t190 @t196 @t201)) % 0.72/0.91 (define @t411 () (tptp.m1_subset_1 @t201 @t197)) % 0.72/0.91 (define @t412 () (not @t411)) % 0.72/0.91 (define @t413 () (not @t409)) % 0.72/0.91 (define @t414 () (or @t413 @t412 @t410)) % 0.72/0.91 (define @t415 () (@list @t414)) % 0.72/0.91 (define @t416 () (tptp.m1_subset_1 @t189 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t195 @t193)))) % 0.72/0.91 (define @t417 () (or @t360 @t416)) % 0.72/0.91 (define @t418 () (tptp.v1_relat_1 @t189)) % 0.72/0.91 (define @t419 () (not @t416)) % 0.72/0.91 (define @t420 () (or @t419 @t418)) % 0.72/0.91 (define @t421 () (tptp.k9_relat_1 @t189 @t201)) % 0.72/0.91 (define @t422 () (tptp.v1_finset_1 @t421)) % 0.72/0.91 (define @t423 () (not @t418)) % 0.72/0.91 (define @t424 () (or @t423 @t364 @t413 @t422)) % 0.72/0.91 (define @t425 () (not @t99)) % 0.72/0.91 (define @t426 () (not @t100)) % 0.72/0.91 (define @t427 () (or @t383 @t426 @t243 @t242 @t425)) % 0.72/0.91 (define @t428 () (not @t102)) % 0.72/0.91 (define @t429 () (@list @t194 @t192 @t189 @t201)) % 0.72/0.91 (define @t430 () (tptp.l1_struct_0 @t194)) % 0.72/0.91 (define @t431 () (or @t372 @t430)) % 0.72/0.91 (define @t432 () (tptp.k4_pre_topc @t194 @t192 @t189 @t201)) % 0.72/0.91 (define @t433 () (= @t432 @t421)) % 0.72/0.91 (define @t434 () (not @t430)) % 0.72/0.91 (define @t435 () (or @t434 @t389 @t364 @t362 @t397 @t433)) % 0.72/0.91 (define @t436 () (@list false false false false false false)) % 0.72/0.91 (define @t437 () (tptp.v1_finset_1 @t432)) % 0.72/0.91 (define @t438 () (tptp.k1_zfmisc_1 @t193)) % 0.72/0.91 (define @t439 () (forall @t25 (or @t199 (not (tptp.m1_subset_1 @t4 @t438)) (tptp.r4_waybel_0 @t192 @t190 @t188 @t4)))) % 0.72/0.91 (define @t440 () (= @t350 @t439)) % 0.72/0.91 (define @t441 () (or @t370 @t369 @t367 @t366 @t356 @t354 @t352 @t440)) % 0.72/0.91 (define @t442 () (tptp.m1_subset_1 @t432 @t438)) % 0.72/0.91 (define @t443 () (or @t434 @t389 @t364 @t362 @t397 @t442)) % 0.72/0.91 (define @t444 () (@var "BOUND_VARIABLE_8637" $$unsorted)) % 0.72/0.91 (define @t445 () (@var "BOUND_VARIABLE_8641" $$unsorted)) % 0.72/0.91 (define @t446 () (@var "BOUND_VARIABLE_8639" $$unsorted)) % 0.72/0.91 (define @t447 () (@var "BOUND_VARIABLE_8635" $$unsorted)) % 0.72/0.91 (define @t448 () (tptp.u1_struct_0 @t447)) % 0.72/0.91 (define @t449 () (@var "BOUND_VARIABLE_8633" $$unsorted)) % 0.72/0.91 (define @t450 () (tptp.u1_struct_0 @t449)) % 0.72/0.91 (define @t451 () (tptp.r4_waybel_0 @t2 @t447 (tptp.k7_funct_2 @t8 @t450 @t448 @t446 @t445) @t444)) % 0.72/0.91 (define @t452 () (not (tptp.r4_waybel_0 @t449 @t447 @t445 (tptp.k4_pre_topc @t2 @t449 @t446 @t444)))) % 0.72/0.91 (define @t453 () (not (tptp.m2_relset_1 @t445 @t450 @t448))) % 0.72/0.91 (define @t454 () (not (tptp.v1_funct_2 @t445 @t450 @t448))) % 0.72/0.91 (define @t455 () (not (tptp.v1_funct_1 @t445))) % 0.72/0.91 (define @t456 () (not (tptp.r4_waybel_0 @t2 @t449 @t446 @t444))) % 0.72/0.91 (define @t457 () (not (tptp.m2_relset_1 @t446 @t8 @t450))) % 0.72/0.91 (define @t458 () (not (tptp.v1_funct_2 @t446 @t8 @t450))) % 0.72/0.91 (define @t459 () (not (tptp.v1_funct_1 @t446))) % 0.72/0.91 (define @t460 () (not (tptp.m1_subset_1 @t444 @t80))) % 0.72/0.91 (define @t461 () (not (tptp.l1_orders_2 @t447))) % 0.72/0.91 (define @t462 () (tptp.v3_struct_0 @t447)) % 0.72/0.91 (define @t463 () (not (tptp.l1_orders_2 @t449))) % 0.72/0.91 (define @t464 () (tptp.v3_struct_0 @t449)) % 0.72/0.91 (define @t465 () (or @t464 @t463 @t462 @t461 @t460 @t459 @t458 @t457 @t456 @t455 @t454 @t453 @t452 @t451)) % 0.72/0.91 (define @t466 () (or @t42 @t184 @t465)) % 0.72/0.91 (define @t467 () (forall (@list @t2 @t449 @t447 @t444 @t446 @t445) @t466)) % 0.72/0.91 (define @t468 () (@list @t449 @t447 @t444 @t446 @t445)) % 0.72/0.91 (define @t469 () (forall @t468 @t466)) % 0.72/0.91 (define @t470 () (forall @t468 @t465)) % 0.72/0.91 (define @t471 () (@var "BOUND_VARIABLE_8596" $$unsorted)) % 0.72/0.91 (define @t472 () (@var "BOUND_VARIABLE_8594" $$unsorted)) % 0.72/0.91 (define @t473 () (@var "BOUND_VARIABLE_8592" $$unsorted)) % 0.72/0.91 (define @t474 () (@var "BOUND_VARIABLE_8590" $$unsorted)) % 0.72/0.91 (define @t475 () (or @t42 @t184 @t470)) % 0.72/0.91 (define @t476 () (tptp.u1_struct_0 @t474)) % 0.72/0.91 (define @t477 () (tptp.r4_waybel_0 @t2 @t474 (tptp.k7_funct_2 @t8 @t7 @t476 @t472 @t471) @t473)) % 0.72/0.91 (define @t478 () (not (tptp.r4_waybel_0 @t6 @t474 @t471 (tptp.k4_pre_topc @t2 @t6 @t472 @t473)))) % 0.72/0.91 (define @t479 () (not (tptp.m2_relset_1 @t471 @t7 @t476))) % 0.72/0.91 (define @t480 () (not (tptp.v1_funct_2 @t471 @t7 @t476))) % 0.72/0.91 (define @t481 () (not (tptp.v1_funct_1 @t471))) % 0.72/0.91 (define @t482 () (not (tptp.r4_waybel_0 @t2 @t6 @t472 @t473))) % 0.72/0.91 (define @t483 () (not (tptp.m2_relset_1 @t472 @t8 @t7))) % 0.72/0.91 (define @t484 () (not (tptp.v1_funct_2 @t472 @t8 @t7))) % 0.72/0.91 (define @t485 () (not (tptp.v1_funct_1 @t472))) % 0.72/0.91 (define @t486 () (not (tptp.m1_subset_1 @t473 @t80))) % 0.72/0.91 (define @t487 () (not (tptp.l1_orders_2 @t474))) % 0.72/0.91 (define @t488 () (tptp.v3_struct_0 @t474)) % 0.72/0.91 (define @t489 () (or @t35 @t224 @t488 @t487 @t486 @t485 @t484 @t483 @t482 @t481 @t480 @t479 @t478 @t477)) % 0.72/0.91 (define @t490 () (@list @t6 @t474 @t473 @t472 @t471)) % 0.72/0.91 (define @t491 () (forall @t490 @t489)) % 0.72/0.91 (define @t492 () (or @t42 @t184 @t491)) % 0.72/0.91 (define @t493 () (or @t488 @t487 @t486 @t485 @t484 @t483 @t482 @t481 @t480 @t479 @t478 @t477)) % 0.72/0.91 (define @t494 () (or @t35 @t224 @t493)) % 0.72/0.91 (define @t495 () (forall @t490 @t494)) % 0.72/0.91 (define @t496 () (@list @t474 @t473 @t472 @t471)) % 0.72/0.91 (define @t497 () (forall @t496 @t494)) % 0.72/0.91 (define @t498 () (forall @t496 @t493)) % 0.72/0.91 (define @t499 () (@var "BOUND_VARIABLE_8557" $$unsorted)) % 0.72/0.91 (define @t500 () (@var "BOUND_VARIABLE_8555" $$unsorted)) % 0.72/0.91 (define @t501 () (@var "BOUND_VARIABLE_8553" $$unsorted)) % 0.72/0.91 (define @t502 () (or @t35 @t224 @t498)) % 0.72/0.91 (define @t503 () (tptp.r4_waybel_0 @t2 @t1 (tptp.k7_funct_2 @t8 @t7 @t5 @t500 @t499) @t501)) % 0.72/0.91 (define @t504 () (not (tptp.r4_waybel_0 @t6 @t1 @t499 (tptp.k4_pre_topc @t2 @t6 @t500 @t501)))) % 0.72/0.91 (define @t505 () (not (tptp.m2_relset_1 @t499 @t7 @t5))) % 0.72/0.91 (define @t506 () (not (tptp.v1_funct_2 @t499 @t7 @t5))) % 0.72/0.91 (define @t507 () (not (tptp.v1_funct_1 @t499))) % 0.72/0.91 (define @t508 () (not (tptp.r4_waybel_0 @t2 @t6 @t500 @t501))) % 0.72/0.91 (define @t509 () (not (tptp.m2_relset_1 @t500 @t8 @t7))) % 0.72/0.91 (define @t510 () (not (tptp.v1_funct_2 @t500 @t8 @t7))) % 0.72/0.91 (define @t511 () (not (tptp.v1_funct_1 @t500))) % 0.72/0.91 (define @t512 () (not (tptp.m1_subset_1 @t501 @t80))) % 0.72/0.91 (define @t513 () (or @t28 @t302 @t512 @t511 @t510 @t509 @t508 @t507 @t506 @t505 @t504 @t503)) % 0.72/0.91 (define @t514 () (@list @t1 @t501 @t500 @t499)) % 0.72/0.91 (define @t515 () (forall @t514 @t513)) % 0.72/0.91 (define @t516 () (or @t35 @t224 @t515)) % 0.72/0.91 (define @t517 () (or @t512 @t511 @t510 @t509 @t508 @t507 @t506 @t505 @t504 @t503)) % 0.72/0.91 (define @t518 () (or @t28 @t302 @t517)) % 0.72/0.91 (define @t519 () (forall @t514 @t518)) % 0.72/0.91 (define @t520 () (@list @t501 @t500 @t499)) % 0.72/0.91 (define @t521 () (forall @t520 @t518)) % 0.72/0.91 (define @t522 () (forall @t520 @t517)) % 0.72/0.91 (define @t523 () (@var "BOUND_VARIABLE_8522" $$unsorted)) % 0.72/0.91 (define @t524 () (@var "BOUND_VARIABLE_8520" $$unsorted)) % 0.72/0.91 (define @t525 () (or @t28 @t302 @t522)) % 0.72/0.91 (define @t526 () (tptp.r4_waybel_0 @t2 @t1 (tptp.k7_funct_2 @t8 @t7 @t5 @t524 @t523) @t4)) % 0.72/0.91 (define @t527 () (not (tptp.r4_waybel_0 @t6 @t1 @t523 (tptp.k4_pre_topc @t2 @t6 @t524 @t4)))) % 0.72/0.91 (define @t528 () (not (tptp.m2_relset_1 @t523 @t7 @t5))) % 0.72/0.91 (define @t529 () (not (tptp.v1_funct_2 @t523 @t7 @t5))) % 0.72/0.91 (define @t530 () (not (tptp.v1_funct_1 @t523))) % 0.72/0.91 (define @t531 () (not (tptp.r4_waybel_0 @t2 @t6 @t524 @t4))) % 0.72/0.91 (define @t532 () (not (tptp.m2_relset_1 @t524 @t8 @t7))) % 0.72/0.91 (define @t533 () (not (tptp.v1_funct_2 @t524 @t8 @t7))) % 0.72/0.91 (define @t534 () (not (tptp.v1_funct_1 @t524))) % 0.72/0.91 (define @t535 () (or @t204 @t534 @t533 @t532 @t531 @t530 @t529 @t528 @t527 @t526)) % 0.72/0.91 (define @t536 () (@list @t4 @t524 @t523)) % 0.72/0.91 (define @t537 () (forall @t536 @t535)) % 0.72/0.91 (define @t538 () (or @t28 @t302 @t537)) % 0.72/0.91 (define @t539 () (or @t534 @t533 @t532 @t531 @t530 @t529 @t528 @t527 @t526)) % 0.72/0.91 (define @t540 () (or @t204 @t539)) % 0.72/0.91 (define @t541 () (forall @t536 @t540)) % 0.72/0.91 (define @t542 () (@list @t524 @t523)) % 0.72/0.91 (define @t543 () (forall @t542 @t540)) % 0.72/0.91 (define @t544 () (forall @t542 @t539)) % 0.72/0.91 (define @t545 () (@var "BOUND_VARIABLE_8498" $$unsorted)) % 0.72/0.91 (define @t546 () (or @t204 @t544)) % 0.72/0.91 (define @t547 () (tptp.r4_waybel_0 @t2 @t1 (tptp.k7_funct_2 @t8 @t7 @t5 @t3 @t545) @t4)) % 0.72/0.91 (define @t548 () (not (tptp.r4_waybel_0 @t6 @t1 @t545 @t137))) % 0.72/0.91 (define @t549 () (not (tptp.m2_relset_1 @t545 @t7 @t5))) % 0.72/0.91 (define @t550 () (not (tptp.v1_funct_2 @t545 @t7 @t5))) % 0.72/0.91 (define @t551 () (not (tptp.v1_funct_1 @t545))) % 0.72/0.91 (define @t552 () (not @t139)) % 0.72/0.91 (define @t553 () (not @t148)) % 0.72/0.91 (define @t554 () (not @t149)) % 0.72/0.91 (define @t555 () (or @t252 @t554 @t553 @t552 @t551 @t550 @t549 @t548 @t547)) % 0.72/0.91 (define @t556 () (@list @t3 @t545)) % 0.72/0.91 (define @t557 () (forall @t556 @t555)) % 0.72/0.91 (define @t558 () (or @t551 @t550 @t549 @t548 @t547)) % 0.72/0.91 (define @t559 () (or @t252 @t554 @t553 @t552 @t558)) % 0.72/0.91 (define @t560 () (forall @t556 @t559)) % 0.72/0.91 (define @t561 () (@list @t545)) % 0.72/0.91 (define @t562 () (forall @t561 @t559)) % 0.72/0.91 (define @t563 () (forall @t561 @t558)) % 0.72/0.91 (define @t564 () (or @t252 @t554 @t553 @t552 @t563)) % 0.72/0.91 (define @t565 () (not @t138)) % 0.72/0.91 (define @t566 () (not @t142)) % 0.72/0.91 (define @t567 () (not @t143)) % 0.72/0.91 (define @t568 () (not @t144)) % 0.72/0.91 (define @t569 () (or @t568 @t567 @t566 @t565 @t136)) % 0.72/0.91 (define @t570 () (forall @t146 @t569)) % 0.72/0.91 (define @t571 () (or @t252 @t554 @t553 @t552 @t570)) % 0.72/0.91 (define @t572 () (or @t552 @t570)) % 0.72/0.91 (define @t573 () (or @t252 @t554 @t553)) % 0.72/0.91 (define @t574 () (or @t552 @t569)) % 0.72/0.91 (define @t575 () (or @t568 @t567 @t566 @t552 @t565 @t136)) % 0.72/0.91 (define @t576 () (or @t552 @t565 @t136)) % 0.72/0.91 (define @t577 () (or @t568 @t567 @t566)) % 0.72/0.91 (define @t578 () (forall @t25 (or @t199 @t198 (tptp.r4_waybel_0 @t194 @t192 @t189 @t4)))) % 0.72/0.91 (define @t579 () (= @t357 @t578)) % 0.72/0.91 (define @t580 () (or @t373 @t372 @t370 @t369 @t364 @t362 @t360 @t579)) % 0.72/0.91 (define @t581 () (tptp.r4_waybel_0 @t194 @t192 @t189 @t201)) % 0.72/0.91 (define @t582 () (or @t413 @t412 @t581)) % 0.72/0.91 (define @t583 () (tptp.r4_waybel_0 @t192 @t190 @t188 @t432)) % 0.72/0.91 (define @t584 () (not @t583)) % 0.72/0.91 (define @t585 () (not @t581)) % 0.72/0.91 (define @t586 () (or @t373 @t372 @t370 @t369 @t367 @t366 @t412 @t364 @t362 @t360 @t585 @t356 @t354 @t352 @t584 @t410)) % 0.72/0.91 (define @t587 () (not @t442)) % 0.72/0.91 (define @t588 () (not @t437)) % 0.72/0.91 (define @t589 () (or @t588 @t587 @t583)) % 0.72/0.91 (assume @p1 @t48) % 0.72/0.91 (assume @p2 (forall @t50 (=> @t49 (not (tptp.r2_hidden @t6 @t2))))) % 0.72/0.91 (assume @p3 (forall @t46 (=> @t53 (forall @t39 (=> @t52 @t51))))) % 0.72/0.91 (assume @p4 (forall @t46 (=> @t55 (forall @t39 (=> @t52 (and @t51 @t54)))))) % 0.72/0.91 (assume @p5 (forall @t46 (=> @t57 (forall @t39 (=> @t52 (and @t51 @t54 @t56)))))) % 0.72/0.91 (assume @p6 (forall @t46 (=> @t59 (forall @t39 (=> @t52 (and @t51 @t54 @t58 @t56)))))) % 0.72/0.91 (assume @p7 (forall @t46 (=> @t60 (forall @t39 (=> @t52 (and @t51 (tptp.v4_ordinal2 @t6) @t54 @t58 @t56)))))) % 0.72/0.91 (assume @p8 (forall @t46 (=> @t61 (and @t53 @t55 @t57 @t59 @t60)))) % 0.72/0.91 (assume @p9 (forall @t46 (=> @t53 (forall @t39 (=> @t64 @t62))))) % 0.72/0.91 (assume @p10 (forall @t46 (=> @t55 (forall @t39 (=> @t64 (and @t62 @t65)))))) % 0.72/0.91 (assume @p11 (forall @t46 (=> @t57 (forall @t39 (=> @t64 (and @t62 @t65 @t66)))))) % 0.72/0.91 (assume @p12 (forall @t46 (=> @t59 (forall @t39 (=> @t64 (and @t62 @t65 @t66 @t67)))))) % 0.72/0.91 (assume @p13 (forall @t46 (=> @t61 @t68))) % 0.72/0.91 (assume @p14 (forall @t46 (=> @t61 @t69))) % 0.72/0.91 (assume @p15 (forall @t46 (=> @t60 @t59))) % 0.72/0.91 (assume @p16 @t74) % 0.72/0.91 (assume @p17 (forall @t46 (=> @t60 (forall @t39 (=> @t64 (and @t62 @t65 @t66 @t67 (tptp.v5_membered @t6))))))) % 0.72/0.91 (assume @p18 (forall @t46 (=> @t68 (forall @t39 (=> @t64 @t75))))) % 0.72/0.91 (assume @p19 (forall @t46 (=> @t78 @t77))) % 0.72/0.91 (assume @p20 (forall @t46 (=> @t59 @t57))) % 0.72/0.91 (assume @p21 (forall @t46 (=> @t57 @t55))) % 0.72/0.91 (assume @p22 (forall @t46 (=> @t55 @t53))) % 0.72/0.91 (assume @p23 @t96) % 0.72/0.91 (assume @p24 true) % 0.72/0.91 (assume @p25 @t104) % 0.72/0.91 (assume @p26 (forall @t50 (=> (and @t76 @t107) @t106))) % 0.72/0.91 (assume @p27 @t118) % 0.72/0.91 (assume @p28 @t119) % 0.72/0.91 (assume @p29 @t121) % 0.72/0.91 (assume @p30 (exists @t46 @t41)) % 0.72/0.91 (assume @p31 (exists @t46 @t101)) % 0.72/0.91 (assume @p32 (forall @t50 (exists @t32 @t122))) % 0.72/0.91 (assume @p33 (forall @t46 (exists @t39 @t52))) % 0.72/0.91 (assume @p34 (forall @t50 (exists @t32 @t120))) % 0.72/0.91 (assume @p35 @t125) % 0.72/0.91 (assume @p36 (forall @t50 (=> (and @t68 @t75) (tptp.v1_finset_1 @t71)))) % 0.72/0.91 (assume @p37 (forall @t50 (=> (and @t76 @t69 @t107 (tptp.v1_funct_1 @t6)) (and @t106 (tptp.v1_funct_1 @t105))))) % 0.72/0.91 (assume @p38 @t128) % 0.72/0.91 (assume @p39 (forall @t103 (=> (and @t130 @t115 @t89 (tptp.v1_funct_2 @t1 @t2 @t6) @t122 (not (tptp.v1_xboole_0 @t4)) (tptp.m1_subset_1 @t4 @t63)) (not (tptp.v1_xboole_0 @t129))))) % 0.72/0.91 (assume @p40 (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))) % 0.72/0.91 (assume @p41 (exists @t46 (and @t130 @t68))) % 0.72/0.91 (assume @p42 (exists @t46 (and @t76 @t69))) % 0.72/0.91 (assume @p43 (exists @t46 (and @t130 @t53 @t55 @t57 @t59 @t60))) % 0.72/0.91 (assume @p44 (exists @t46 @t78)) % 0.72/0.91 (assume @p45 (forall @t46 (=> @t130 (exists @t39 (and @t64 @t115 @t75))))) % 0.72/0.91 (assume @p46 (exists @t46 @t77)) % 0.72/0.91 (assume @p47 (exists @t46 (and @t101 @t43))) % 0.72/0.91 (assume @p48 (forall @t46 (=> @t127 (exists @t39 (and (tptp.m1_subset_1 @t6 @t80) @t115))))) % 0.72/0.91 (assume @p49 @t132) % 0.72/0.91 (assume @p50 (forall @t117 (=> @t116 (= @t108 (tptp.k5_relat_1 @t4 @t3))))) % 0.72/0.91 (assume @p51 (forall @t73 (= @t120 @t122))) % 0.72/0.91 (assume @p52 (forall @t50 (tptp.r1_tarski @t2 @t2))) % 0.72/0.91 (assume @p53 (forall @t50 (=> @t49 @t133))) % 0.72/0.91 (assume @p54 (forall @t50 (=> @t133 (or @t114 @t49)))) % 0.72/0.91 (assume @p55 (forall @t50 (= (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t6)) (tptp.r1_tarski @t2 @t6)))) % 0.72/0.91 (assume @p56 (forall @t73 (=> (and @t49 @t134) (tptp.m1_subset_1 @t2 @t1)))) % 0.72/0.91 (assume @p57 (forall @t73 (not (and @t49 @t134 (tptp.v1_xboole_0 @t1))))) % 0.72/0.91 (assume @p58 @t160) % 0.72/0.91 (assume @p59 (forall @t46 (=> @t61 (= @t2 tptp.k1_xboole_0)))) % 0.72/0.91 (assume @p60 (forall @t50 (not (and @t49 @t114)))) % 0.72/0.91 (assume @p61 (forall @t50 (not (and @t61 (not (= @t2 @t6)) @t114)))) % 0.72/0.91 (step @p62 :rule evaluate :args ((= false true))) % 0.72/0.91 (step @p63 :rule aci_norm :args ((= (or @t164 @t123) (or @t163 @t162 @t161 @t123)))) % 0.72/0.91 (step @p64 :rule refl :args (@t123)) % 0.72/0.91 (step @p65 :rule aci_norm :args ((= (or @t163 (or @t162 @t161)) @t164))) % 0.72/0.91 (step @p66 :rule bool-and-de-morgan :args (@t69 @t75 true)) % 0.72/0.91 (step @p67 :rule 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0.72/0.91 (step @p688 :rule bool-double-not-elim :args (@t411)) % 0.72/0.91 (step @p689 :rule nary_cong :premises (@p450 @p688) :args ((or @t414 (not @t412)))) % 0.72/0.91 (step @p690 :rule cnf_or_neg :args (@t414 1)) % 0.72/0.91 (step @p691 :rule eq_resolve :premises (@p690 @p689)) % 0.72/0.91 (step @p692 :rule reordering :premises (@p691) :args ((or @t411 @t414))) % 0.72/0.91 (step @p693 :rule chain_m_resolution :premises (@p692 @p448) :args (@t411 @t375 @t415)) % 0.72/0.91 (step @p694 :rule cnf_or_pos :args (@t582)) % 0.72/0.91 (step @p695 :rule reordering :premises (@p694) :args ((or @t413 @t412 @t581 (not @t582)))) % 0.72/0.91 (step @p696 :rule chain_m_resolution :premises (@p695 @p455 @p693 @p687) :args (@t581 (@list false false false) (@list @t409 @t411 @t582))) % 0.72/0.91 (step @p697 :rule cnf_or_neg :args (@t414 2)) % 0.72/0.91 (step @p698 :rule chain_m_resolution :premises (@p697 @p448) :args ((not @t410) @t375 @t415)) % 0.72/0.91 (step @p699 :rule cnf_or_pos :args (@t586)) % 0.72/0.91 (step @p700 :rule reordering :premises (@p699) :args ((or @t373 @t372 @t370 @t369 @t367 @t366 @t364 @t362 @t360 @t356 @t354 @t352 @t412 @t410 @t585 @t584 (not @t586)))) % 0.72/0.91 (step @p701 :rule chain_m_resolution :premises (@p700 @p439 @p437 @p384 @p379 @p431 @p429 @p411 @p405 @p353 @p399 @p393 @p343 @p693 @p698 @p696 @p673) :args (@t584 (@list true false true false true false false false false false false false false true false false) (@list @t373 @t371 @t370 @t368 @t367 @t365 @t363 @t361 @t359 @t355 @t353 @t348 @t411 @t410 @t581 @t586))) % 0.72/0.91 (step @p702 :rule cnf_or_pos :args (@t589)) % 0.72/0.91 (step @p703 :rule reordering :premises (@p702) :args ((or @t583 @t588 @t587 (not @t589)))) % 0.72/0.91 (step @p704 :rule chain_m_resolution :premises (@p703 @p701 @p529 @p517) :args (@t588 @t391 (@list @t583 @t442 @t589))) % 0.72/0.91 (step @p705 :rule false_intro :premises (@p704)) % 0.72/0.91 (step @p706 :rule symm :premises (@p705)) % 0.72/0.91 (step @p707 :rule trans :premises (@p706 @p503 @p473)) % 0.72/0.91 (step @p708 false :rule eq_resolve :premises (@p707 @p62)) % 0.72/0.91 ) % 0.72/0.91 % SZS output end Proof % 0.72/0.91 % cvc5 exiting %------------------------------------------------------------------------------