%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU414+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 : n024.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 08:51:41 AM UTC 2026 % Result : Theorem 33.51s 33.89s % Output : Proof 33.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SEU414+1 : TPTP v9.2.1. Released v3.4.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n024.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Tue Jun 2 12:14:15 EDT 2026 % 0.08/0.25 % CPUTime : % 0.16/0.33 %----Proving TF0_NAR, FOF, or CNF % 33.51/33.89 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 33.51/33.89 --- Run --no-e-matching --full-saturate-quant at 6... % 33.51/33.89 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 33.51/33.89 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.51/33.89 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.51/33.89 % SZS status Theorem % 33.51/33.89 % SZS output start Proof % 33.51/33.89 ( % 33.51/33.89 (declare-sort $$unsorted 0) % 33.51/33.89 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 33.51/33.89 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.51/33.89 (declare-const tptp.r4_relat_2 (-> $$unsorted $$unsorted Bool)) % 33.51/33.89 (declare-const tptp.k4_tarski (-> $$unsorted $$unsorted $$unsorted)) % 33.51/33.89 (declare-const tptp.k7_relset_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.51/33.89 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 33.51/33.89 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 33.51/33.89 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 33.51/33.89 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 33.51/33.89 (declare-const tptp.k1_latsum_1 (-> $$unsorted $$unsorted $$unsorted)) % 33.51/33.89 (declare-const tptp.k5_relat_1 (-> $$unsorted $$unsorted $$unsorted)) % 33.51/33.89 (declare-const tptp.l1_orders_2 (-> $$unsorted Bool)) % 33.51/33.89 (declare-const tptp.v4_orders_2 (-> $$unsorted Bool)) % 33.51/33.89 (declare-const tptp.v3_orders_2 (-> $$unsorted Bool)) % 33.51/33.89 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 33.51/33.89 (declare-const tptp.v1_orders_2 (-> $$unsorted Bool)) % 33.51/33.89 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 33.51/33.89 (declare-const tptp.k2_xboole_0 (-> $$unsorted $$unsorted $$unsorted)) % 33.51/33.89 (declare-const tptp.k3_xboole_0 (-> $$unsorted $$unsorted $$unsorted)) % 33.51/33.89 (declare-const tptp.k1_xboole_0 $$unsorted) % 33.51/33.89 (declare-const tptp.u1_orders_2 (-> $$unsorted $$unsorted)) % 33.51/33.89 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 33.51/33.89 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.51/33.89 (declare-const tptp.v13_waybel_0 (-> $$unsorted $$unsorted Bool)) % 33.51/33.89 (declare-const tptp.r1_latsum_1 (-> $$unsorted $$unsorted Bool)) % 33.51/33.89 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 33.51/33.89 (declare-const tptp.v12_waybel_0 (-> $$unsorted $$unsorted Bool)) % 33.51/33.89 (declare-const tptp.g1_orders_2 (-> $$unsorted $$unsorted $$unsorted)) % 33.51/33.89 (define @t1 () (@var "B" $$unsorted)) % 33.51/33.89 (define @t2 () (@var "A" $$unsorted)) % 33.51/33.89 (define @t3 () (tptp.k1_latsum_1 @t2 @t1)) % 33.51/33.89 (define @t4 () (tptp.v4_orders_2 @t3)) % 33.51/33.89 (define @t5 () (tptp.v4_orders_2 @t1)) % 33.51/33.89 (define @t6 () (tptp.v3_orders_2 @t1)) % 33.51/33.89 (define @t7 () (tptp.v4_orders_2 @t2)) % 33.51/33.89 (define @t8 () (tptp.v3_orders_2 @t2)) % 33.51/33.89 (define @t9 () (tptp.u1_struct_0 @t1)) % 33.51/33.89 (define @t10 () (tptp.u1_struct_0 @t2)) % 33.51/33.89 (define @t11 () (tptp.k3_xboole_0 @t10 @t9)) % 33.51/33.89 (define @t12 () (tptp.m1_subset_1 @t11 (tptp.k1_zfmisc_1 @t9))) % 33.51/33.89 (define @t13 () (tptp.v12_waybel_0 @t11 @t1)) % 33.51/33.89 (define @t14 () (tptp.k1_zfmisc_1 @t10)) % 33.51/33.89 (define @t15 () (tptp.m1_subset_1 @t11 @t14)) % 33.51/33.89 (define @t16 () (tptp.v13_waybel_0 @t11 @t2)) % 33.51/33.89 (define @t17 () (tptp.r1_latsum_1 @t2 @t1)) % 33.51/33.89 (define @t18 () (and @t17 @t16 @t15 @t13 @t12 @t8 @t7 @t6 @t5)) % 33.51/33.89 (define @t19 () (=> @t18 @t4)) % 33.51/33.89 (define @t20 () (tptp.l1_orders_2 @t1)) % 33.51/33.89 (define @t21 () (@list @t1)) % 33.51/33.89 (define @t22 () (forall @t21 (=> @t20 @t19))) % 33.51/33.89 (define @t23 () (tptp.l1_orders_2 @t2)) % 33.51/33.89 (define @t24 () (=> @t23 @t22)) % 33.51/33.89 (define @t25 () (@list @t2)) % 33.51/33.89 (define @t26 () (forall @t25 @t24)) % 33.51/33.89 (define @t27 () (not @t26)) % 33.51/33.89 (define @t28 () (tptp.u1_orders_2 @t2)) % 33.51/33.89 (define @t29 () (tptp.r2_hidden @t2 @t1)) % 33.51/33.89 (define @t30 () (@list @t2 @t1)) % 33.51/33.89 (define @t31 () (@var "C" $$unsorted)) % 33.51/33.89 (define @t32 () (tptp.v1_relat_1 @t31)) % 33.51/33.89 (define @t33 () (tptp.m1_subset_1 @t31 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t2 @t1)))) % 33.51/33.89 (define @t34 () (@list @t2 @t1 @t31)) % 33.51/33.89 (define @t35 () (forall @t34 (=> @t33 @t32))) % 33.51/33.89 (define @t36 () (tptp.k2_xboole_0 @t1 @t2)) % 33.51/33.89 (define @t37 () (tptp.k2_xboole_0 @t2 @t1)) % 33.51/33.89 (define @t38 () (tptp.u1_orders_2 @t1)) % 33.51/33.89 (define @t39 () (tptp.k2_xboole_0 (tptp.k2_xboole_0 @t28 @t38) (tptp.k7_relset_1 @t10 @t10 @t9 @t9 @t28 @t38))) % 33.51/33.89 (define @t40 () (tptp.k2_xboole_0 @t10 @t9)) % 33.51/33.89 (define @t41 () (and (= (tptp.u1_struct_0 @t31) @t40) (= (tptp.u1_orders_2 @t31) @t39))) % 33.51/33.89 (define @t42 () (= (= @t31 @t3) @t41)) % 33.51/33.89 (define @t43 () (tptp.l1_orders_2 @t31)) % 33.51/33.89 (define @t44 () (tptp.v1_orders_2 @t31)) % 33.51/33.89 (define @t45 () (and @t44 @t43)) % 33.51/33.89 (define @t46 () (=> @t45 @t42)) % 33.51/33.89 (define @t47 () (@list @t31)) % 33.51/33.89 (define @t48 () (forall @t47 @t46)) % 33.51/33.89 (define @t49 () (=> @t20 @t48)) % 33.51/33.89 (define @t50 () (forall @t21 @t49)) % 33.51/33.89 (define @t51 () (=> @t23 @t50)) % 33.51/33.89 (define @t52 () (forall @t25 @t51)) % 33.51/33.89 (define @t53 () (@var "D" $$unsorted)) % 33.51/33.89 (define @t54 () (tptp.r2_hidden @t53 @t1)) % 33.51/33.89 (define @t55 () (@list @t53)) % 33.51/33.89 (define @t56 () (forall @t34 (= (= @t31 @t37) (forall @t55 (= (tptp.r2_hidden @t53 @t31) (or (tptp.r2_hidden @t53 @t2) @t54)))))) % 33.51/33.89 (define @t57 () (= @t31 @t53)) % 33.51/33.89 (define @t58 () (tptp.k4_tarski @t53 @t31)) % 33.51/33.89 (define @t59 () (tptp.r2_hidden @t58 @t2)) % 33.51/33.89 (define @t60 () (tptp.k4_tarski @t31 @t53)) % 33.51/33.89 (define @t61 () (tptp.r2_hidden @t60 @t2)) % 33.51/33.89 (define @t62 () (tptp.r2_hidden @t31 @t1)) % 33.51/33.89 (define @t63 () (and @t62 @t54 @t61 @t59)) % 33.51/33.89 (define @t64 () (@list @t31 @t53)) % 33.51/33.89 (define @t65 () (forall @t64 (=> @t63 @t57))) % 33.51/33.89 (define @t66 () (tptp.r4_relat_2 @t2 @t1)) % 33.51/33.89 (define @t67 () (= @t66 @t65)) % 33.51/33.89 (define @t68 () (forall @t21 @t67)) % 33.51/33.89 (define @t69 () (tptp.v1_relat_1 @t2)) % 33.51/33.89 (define @t70 () (=> @t69 @t68)) % 33.51/33.89 (define @t71 () (forall @t25 @t70)) % 33.51/33.89 (define @t72 () (= @t7 (tptp.r4_relat_2 @t28 @t10))) % 33.51/33.89 (define @t73 () (forall @t25 (=> @t23 @t72))) % 33.51/33.89 (define @t74 () (tptp.g1_orders_2 @t2 @t1)) % 33.51/33.89 (define @t75 () (tptp.m1_relset_1 @t1 @t2 @t2)) % 33.51/33.89 (define @t76 () (and (tptp.v1_orders_2 @t3) (tptp.l1_orders_2 @t3))) % 33.51/33.89 (define @t77 () (and @t23 @t20)) % 33.51/33.89 (define @t78 () (forall @t30 (=> @t77 @t76))) % 33.51/33.89 (define @t79 () (@var "F" $$unsorted)) % 33.51/33.89 (define @t80 () (@var "E" $$unsorted)) % 33.51/33.89 (define @t81 () (tptp.k7_relset_1 @t2 @t1 @t31 @t53 @t80 @t79)) % 33.51/33.89 (define @t82 () (and (tptp.m1_relset_1 @t80 @t2 @t1) (tptp.m1_relset_1 @t79 @t31 @t53))) % 33.51/33.89 (define @t83 () (@list @t2 @t1 @t31 @t53 @t80 @t79)) % 33.51/33.89 (define @t84 () (tptp.l1_struct_0 @t2)) % 33.51/33.89 (define @t85 () (tptp.m2_relset_1 @t31 @t2 @t1)) % 33.51/33.89 (define @t86 () (forall @t34 (=> @t85 @t33))) % 33.51/33.89 (define @t87 () (tptp.m2_relset_1 @t28 @t10 @t10)) % 33.51/33.89 (define @t88 () (forall @t25 (=> @t23 @t87))) % 33.51/33.89 (define @t89 () (tptp.m1_relset_1 @t31 @t2 @t1)) % 33.51/33.89 (define @t90 () (tptp.v1_xboole_0 @t2)) % 33.51/33.89 (define @t91 () (not @t90)) % 33.51/33.89 (define @t92 () (tptp.r2_hidden @t53 @t9)) % 33.51/33.89 (define @t93 () (tptp.r2_hidden @t31 @t9)) % 33.51/33.89 (define @t94 () (tptp.u1_orders_2 @t3)) % 33.51/33.89 (define @t95 () (tptp.r2_hidden @t60 @t94)) % 33.51/33.89 (define @t96 () (and @t16 @t15 @t95 @t93)) % 33.51/33.89 (define @t97 () (forall @t64 (=> @t96 @t92))) % 33.51/33.89 (define @t98 () (=> @t20 @t97)) % 33.51/33.89 (define @t99 () (forall @t21 @t98)) % 33.51/33.89 (define @t100 () (=> @t23 @t99)) % 33.51/33.89 (define @t101 () (forall @t25 @t100)) % 33.51/33.89 (define @t102 () (tptp.m1_subset_1 @t2 @t1)) % 33.51/33.89 (define @t103 () (tptp.r2_hidden @t31 @t10)) % 33.51/33.89 (define @t104 () (tptp.r2_hidden @t53 @t10)) % 33.51/33.89 (define @t105 () (tptp.v1_xboole_0 @t1)) % 33.51/33.89 (define @t106 () (tptp.r2_hidden @t60 @t28)) % 33.51/33.89 (define @t107 () (and @t95 @t103 @t104 @t17 @t8)) % 33.51/33.89 (define @t108 () (forall @t64 (=> @t107 @t106))) % 33.51/33.89 (define @t109 () (=> @t20 @t108)) % 33.51/33.89 (define @t110 () (forall @t21 @t109)) % 33.51/33.89 (define @t111 () (=> @t23 @t110)) % 33.51/33.89 (define @t112 () (forall @t25 @t111)) % 33.51/33.89 (define @t113 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t31))) % 33.51/33.89 (define @t114 () (tptp.r2_hidden @t60 @t38)) % 33.51/33.89 (define @t115 () (and @t95 @t93 @t92 @t17 @t6)) % 33.51/33.89 (define @t116 () (forall @t64 (=> @t115 @t114))) % 33.51/33.89 (define @t117 () (=> @t20 @t116)) % 33.51/33.89 (define @t118 () (forall @t21 @t117)) % 33.51/33.89 (define @t119 () (=> @t23 @t118)) % 33.51/33.89 (define @t120 () (forall @t25 @t119)) % 33.51/33.89 (define @t121 () (not @t59)) % 33.51/33.89 (define @t122 () (not @t61)) % 33.51/33.89 (define @t123 () (@var "BOUND_VARIABLE_7879" $$unsorted)) % 33.51/33.89 (define @t124 () (= (tptp.r4_relat_2 @t2 @t123) (forall @t64 (or (not (tptp.r2_hidden @t31 @t123)) (not (tptp.r2_hidden @t53 @t123)) @t122 @t121 @t57)))) % 33.51/33.89 (define @t125 () (not @t69)) % 33.51/33.89 (define @t126 () (or @t125 @t124)) % 33.51/33.89 (define @t127 () (@list @t123)) % 33.51/33.89 (define @t128 () (forall @t127 @t126)) % 33.51/33.89 (define @t129 () (forall @t127 @t124)) % 33.51/33.89 (define @t130 () (@list @t1)) % 33.51/33.89 (define @t131 () (or @t125 @t129)) % 33.51/33.89 (define @t132 () (not @t54)) % 33.51/33.89 (define @t133 () (not @t62)) % 33.51/33.89 (define @t134 () (or @t133 @t132 @t122 @t121 @t57)) % 33.51/33.89 (define @t135 () (forall @t21 (= @t66 (forall @t64 @t134)))) % 33.51/33.89 (define @t136 () (or @t133 @t132 @t122 @t121)) % 33.51/33.89 (define @t137 () (@var "BOUND_VARIABLE_7741" $$unsorted)) % 33.51/33.89 (define @t138 () (tptp.v4_orders_2 (tptp.k1_latsum_1 @t2 @t137))) % 33.51/33.89 (define @t139 () (not (tptp.v4_orders_2 @t137))) % 33.51/33.89 (define @t140 () (not (tptp.v3_orders_2 @t137))) % 33.51/33.89 (define @t141 () (tptp.u1_struct_0 @t137)) % 33.51/33.89 (define @t142 () (tptp.k3_xboole_0 @t10 @t141)) % 33.51/33.89 (define @t143 () (not (tptp.m1_subset_1 @t142 (tptp.k1_zfmisc_1 @t141)))) % 33.51/33.89 (define @t144 () (not (tptp.v12_waybel_0 @t142 @t137))) % 33.51/33.89 (define @t145 () (not (tptp.m1_subset_1 @t142 @t14))) % 33.51/33.89 (define @t146 () (not (tptp.v13_waybel_0 @t142 @t2))) % 33.51/33.89 (define @t147 () (not (tptp.r1_latsum_1 @t2 @t137))) % 33.51/33.89 (define @t148 () (not (tptp.l1_orders_2 @t137))) % 33.51/33.89 (define @t149 () (not @t7)) % 33.51/33.89 (define @t150 () (not @t8)) % 33.51/33.89 (define @t151 () (not @t23)) % 33.51/33.89 (define @t152 () (or @t151 @t150 @t149 @t148 @t147 @t146 @t145 @t144 @t143 @t140 @t139 @t138)) % 33.51/33.89 (define @t153 () (@list @t2 @t137)) % 33.51/33.89 (define @t154 () (forall @t153 @t152)) % 33.51/33.89 (define @t155 () (@quantifiers_skolemize @t154 1)) % 33.51/33.89 (define @t156 () (@quantifiers_skolemize @t154 0)) % 33.51/33.89 (define @t157 () (tptp.k1_latsum_1 @t156 @t155)) % 33.51/33.89 (define @t158 () (tptp.u1_struct_0 @t157)) % 33.51/33.89 (define @t159 () (tptp.u1_orders_2 @t157)) % 33.51/33.89 (define @t160 () (@list @t158 @t158 @t159)) % 33.51/33.89 (define @t161 () (@list @t157)) % 33.51/33.89 (define @t162 () (not @t20)) % 33.51/33.89 (define @t163 () (or @t148 @t147 @t146 @t145 @t144 @t143 @t140 @t139 @t138)) % 33.51/33.89 (define @t164 () (or @t151 @t150 @t149 @t163)) % 33.51/33.89 (define @t165 () (forall @t153 @t164)) % 33.51/33.89 (define @t166 () (@list @t137)) % 33.51/33.89 (define @t167 () (forall @t166 @t164)) % 33.51/33.89 (define @t168 () (forall @t166 @t163)) % 33.51/33.89 (define @t169 () (or @t151 @t150 @t149 @t168)) % 33.51/33.89 (define @t170 () (not @t5)) % 33.51/33.89 (define @t171 () (not @t6)) % 33.51/33.89 (define @t172 () (not @t12)) % 33.51/33.89 (define @t173 () (not @t13)) % 33.51/33.89 (define @t174 () (not @t15)) % 33.51/33.89 (define @t175 () (not @t16)) % 33.51/33.89 (define @t176 () (not @t17)) % 33.51/33.89 (define @t177 () (or @t162 @t176 @t175 @t174 @t173 @t172 @t171 @t170 @t4)) % 33.51/33.89 (define @t178 () (forall @t21 @t177)) % 33.51/33.89 (define @t179 () (or @t151 @t150 @t149 @t178)) % 33.51/33.89 (define @t180 () (or @t150 @t149 @t178)) % 33.51/33.89 (define @t181 () (or @t150 @t149 @t177)) % 33.51/33.89 (define @t182 () (or @t162 @t176 @t175 @t174 @t173 @t172 @t150 @t149 @t171 @t170 @t4)) % 33.51/33.89 (define @t183 () (or @t176 @t175 @t174 @t173 @t172 @t150 @t149 @t171 @t170 @t4)) % 33.51/33.89 (define @t184 () (or @t176 @t175 @t174 @t173 @t172 @t150 @t149 @t171 @t170)) % 33.51/33.89 (define @t185 () (tptp.l1_orders_2 @t155)) % 33.51/33.89 (define @t186 () (tptp.v4_orders_2 @t157)) % 33.51/33.89 (define @t187 () (tptp.v4_orders_2 @t155)) % 33.51/33.89 (define @t188 () (not @t187)) % 33.51/33.89 (define @t189 () (tptp.v3_orders_2 @t155)) % 33.51/33.89 (define @t190 () (not @t189)) % 33.51/33.89 (define @t191 () (tptp.u1_struct_0 @t155)) % 33.51/33.89 (define @t192 () (tptp.u1_struct_0 @t156)) % 33.51/33.89 (define @t193 () (tptp.k3_xboole_0 @t192 @t191)) % 33.51/33.89 (define @t194 () (tptp.m1_subset_1 @t193 (tptp.k1_zfmisc_1 @t192))) % 33.51/33.89 (define @t195 () (not @t194)) % 33.51/33.89 (define @t196 () (tptp.v13_waybel_0 @t193 @t156)) % 33.51/33.89 (define @t197 () (not @t196)) % 33.51/33.89 (define @t198 () (tptp.r1_latsum_1 @t156 @t155)) % 33.51/33.89 (define @t199 () (not @t198)) % 33.51/33.89 (define @t200 () (not @t185)) % 33.51/33.89 (define @t201 () (tptp.v4_orders_2 @t156)) % 33.51/33.89 (define @t202 () (not @t201)) % 33.51/33.89 (define @t203 () (tptp.v3_orders_2 @t156)) % 33.51/33.89 (define @t204 () (not @t203)) % 33.51/33.89 (define @t205 () (tptp.l1_orders_2 @t156)) % 33.51/33.89 (define @t206 () (not @t205)) % 33.51/33.89 (define @t207 () (or @t206 @t204 @t202 @t200 @t199 @t197 @t195 (not (tptp.v12_waybel_0 @t193 @t155)) (not (tptp.m1_subset_1 @t193 (tptp.k1_zfmisc_1 @t191))) @t190 @t188 @t186)) % 33.51/33.89 (define @t208 () (@list true)) % 33.51/33.89 (define @t209 () (@list @t207)) % 33.51/33.89 (define @t210 () (tptp.l1_orders_2 @t157)) % 33.51/33.89 (define @t211 () (tptp.v1_orders_2 @t157)) % 33.51/33.89 (define @t212 () (and @t211 @t210)) % 33.51/33.89 (define @t213 () (or @t206 @t200 @t212)) % 33.51/33.89 (define @t214 () (not @t212)) % 33.51/33.89 (define @t215 () (@list false)) % 33.51/33.89 (define @t216 () (@list @t212)) % 33.51/33.89 (define @t217 () (tptp.m2_relset_1 @t159 @t158 @t158)) % 33.51/33.89 (define @t218 () (not @t210)) % 33.51/33.89 (define @t219 () (or @t218 @t217)) % 33.51/33.89 (define @t220 () (@list false false)) % 33.51/33.89 (define @t221 () (tptp.m1_subset_1 @t159 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t158 @t158)))) % 33.51/33.89 (define @t222 () (not @t217)) % 33.51/33.89 (define @t223 () (or @t222 @t221)) % 33.51/33.89 (define @t224 () (tptp.v1_relat_1 @t159)) % 33.51/33.89 (define @t225 () (not @t221)) % 33.51/33.89 (define @t226 () (or @t225 @t224)) % 33.51/33.89 (define @t227 () (forall @t64 (or (not (tptp.r2_hidden @t31 @t158)) (not (tptp.r2_hidden @t53 @t158)) (not (tptp.r2_hidden @t60 @t159)) (not (tptp.r2_hidden @t58 @t159)) @t57))) % 33.51/33.89 (define @t228 () (tptp.r4_relat_2 @t159 @t158)) % 33.51/33.89 (define @t229 () (= @t228 @t227)) % 33.51/33.89 (define @t230 () (not @t224)) % 33.51/33.89 (define @t231 () (or @t230 @t229)) % 33.51/33.89 (define @t232 () (= @t186 @t228)) % 33.51/33.89 (define @t233 () (or @t218 @t232)) % 33.51/33.89 (define @t234 () (not @t228)) % 33.51/33.89 (define @t235 () (@list true false)) % 33.51/33.89 (define @t236 () (not @t227)) % 33.51/33.89 (define @t237 () (@quantifiers_skolemize @t227 1)) % 33.51/33.89 (define @t238 () (@quantifiers_skolemize @t227 0)) % 33.51/33.89 (define @t239 () (= @t238 @t237)) % 33.51/33.89 (define @t240 () (tptp.k4_tarski @t237 @t238)) % 33.51/33.89 (define @t241 () (tptp.r2_hidden @t240 @t159)) % 33.51/33.89 (define @t242 () (not @t241)) % 33.51/33.89 (define @t243 () (tptp.k4_tarski @t238 @t237)) % 33.51/33.89 (define @t244 () (tptp.r2_hidden @t243 @t159)) % 33.51/33.89 (define @t245 () (not @t244)) % 33.51/33.89 (define @t246 () (tptp.r2_hidden @t237 @t158)) % 33.51/33.89 (define @t247 () (not @t246)) % 33.51/33.89 (define @t248 () (tptp.r2_hidden @t238 @t158)) % 33.51/33.89 (define @t249 () (not @t248)) % 33.51/33.89 (define @t250 () (or @t249 @t247 @t245 @t242 @t239)) % 33.51/33.89 (define @t251 () (@list @t250)) % 33.51/33.89 (define @t252 () (@var "BOUND_VARIABLE_8194" $$unsorted)) % 33.51/33.89 (define @t253 () (@var "BOUND_VARIABLE_8192" $$unsorted)) % 33.51/33.89 (define @t254 () (tptp.k4_tarski @t253 @t252)) % 33.51/33.89 (define @t255 () (tptp.r2_hidden @t254 @t28)) % 33.51/33.89 (define @t256 () (not (tptp.r2_hidden @t252 @t10))) % 33.51/33.89 (define @t257 () (not (tptp.r2_hidden @t253 @t10))) % 33.51/33.89 (define @t258 () (@var "BOUND_VARIABLE_8190" $$unsorted)) % 33.51/33.89 (define @t259 () (not (tptp.r2_hidden @t254 (tptp.u1_orders_2 (tptp.k1_latsum_1 @t2 @t258))))) % 33.51/33.89 (define @t260 () (not (tptp.r1_latsum_1 @t2 @t258))) % 33.51/33.89 (define @t261 () (not (tptp.l1_orders_2 @t258))) % 33.51/33.89 (define @t262 () (or @t261 @t260 @t259 @t257 @t256 @t255)) % 33.51/33.89 (define @t263 () (or @t151 @t150 @t262)) % 33.51/33.89 (define @t264 () (forall (@list @t2 @t258 @t253 @t252) @t263)) % 33.51/33.89 (define @t265 () (@list @t258 @t253 @t252)) % 33.51/33.89 (define @t266 () (forall @t265 @t263)) % 33.51/33.89 (define @t267 () (forall @t265 @t262)) % 33.51/33.89 (define @t268 () (@var "BOUND_VARIABLE_8169" $$unsorted)) % 33.51/33.89 (define @t269 () (@var "BOUND_VARIABLE_8167" $$unsorted)) % 33.51/33.89 (define @t270 () (or @t151 @t150 @t267)) % 33.51/33.89 (define @t271 () (tptp.k4_tarski @t269 @t268)) % 33.51/33.89 (define @t272 () (tptp.r2_hidden @t271 @t28)) % 33.51/33.89 (define @t273 () (not (tptp.r2_hidden @t268 @t10))) % 33.51/33.89 (define @t274 () (not (tptp.r2_hidden @t269 @t10))) % 33.51/33.89 (define @t275 () (not (tptp.r2_hidden @t271 @t94))) % 33.51/33.89 (define @t276 () (or @t162 @t176 @t275 @t274 @t273 @t272)) % 33.51/33.89 (define @t277 () (@list @t1 @t269 @t268)) % 33.51/33.89 (define @t278 () (forall @t277 @t276)) % 33.51/33.89 (define @t279 () (or @t151 @t150 @t278)) % 33.51/33.89 (define @t280 () (or @t150 @t278)) % 33.51/33.89 (define @t281 () (or @t275 @t274 @t273 @t272)) % 33.51/33.89 (define @t282 () (or @t162 @t176 @t281)) % 33.51/33.89 (define @t283 () (forall @t277 @t282)) % 33.51/33.89 (define @t284 () (@list @t269 @t268)) % 33.51/33.89 (define @t285 () (forall @t284 @t282)) % 33.51/33.89 (define @t286 () (forall @t284 @t281)) % 33.51/33.89 (define @t287 () (@list @t31 @t53)) % 33.51/33.89 (define @t288 () (or @t162 @t176 @t286)) % 33.51/33.89 (define @t289 () (not @t104)) % 33.51/33.89 (define @t290 () (not @t103)) % 33.51/33.89 (define @t291 () (not @t95)) % 33.51/33.89 (define @t292 () (or @t291 @t290 @t289 @t106)) % 33.51/33.89 (define @t293 () (forall @t64 @t292)) % 33.51/33.89 (define @t294 () (or @t162 @t176 @t293)) % 33.51/33.89 (define @t295 () (forall @t21 @t294)) % 33.51/33.89 (define @t296 () (or @t150 @t295)) % 33.51/33.89 (define @t297 () (or @t150 @t294)) % 33.51/33.89 (define @t298 () (or @t162 @t176 @t150 @t293)) % 33.51/33.89 (define @t299 () (or @t176 @t150 @t293)) % 33.51/33.89 (define @t300 () (or @t176 @t150 @t292)) % 33.51/33.89 (define @t301 () (or @t291 @t290 @t289 @t176 @t150 @t106)) % 33.51/33.89 (define @t302 () (or @t291 @t290 @t289 @t176 @t150)) % 33.51/33.89 (define @t303 () (@list @t156 @t155 @t237 @t238)) % 33.51/33.89 (define @t304 () (tptp.r2_hidden @t53 @t191)) % 33.51/33.89 (define @t305 () (tptp.r2_hidden @t53 @t192)) % 33.51/33.89 (define @t306 () (tptp.k2_xboole_0 @t192 @t191)) % 33.51/33.89 (define @t307 () (forall @t55 (= (tptp.r2_hidden @t53 @t306) (or @t305 @t304)))) % 33.51/33.89 (define @t308 () (= (= @t306 @t306) @t307)) % 33.51/33.89 (define @t309 () (@var "BOUND_VARIABLE_7829" $$unsorted)) % 33.51/33.89 (define @t310 () (tptp.k1_latsum_1 @t2 @t309)) % 33.51/33.89 (define @t311 () (@var "BOUND_VARIABLE_7831" $$unsorted)) % 33.51/33.89 (define @t312 () (= @t311 @t310)) % 33.51/33.89 (define @t313 () (tptp.u1_orders_2 @t309)) % 33.51/33.89 (define @t314 () (tptp.u1_struct_0 @t309)) % 33.51/33.89 (define @t315 () (and (= (tptp.k2_xboole_0 @t10 @t314) (tptp.u1_struct_0 @t311)) (= (tptp.k2_xboole_0 (tptp.k2_xboole_0 @t28 @t313) (tptp.k7_relset_1 @t10 @t10 @t314 @t314 @t28 @t313)) (tptp.u1_orders_2 @t311)))) % 33.51/33.89 (define @t316 () (= (= @t310 @t311) @t315)) % 33.51/33.89 (define @t317 () (not (tptp.l1_orders_2 @t311))) % 33.51/33.89 (define @t318 () (not (tptp.v1_orders_2 @t311))) % 33.51/33.89 (define @t319 () (not (tptp.l1_orders_2 @t309))) % 33.51/33.89 (define @t320 () (or @t151 @t319 @t318 @t317 @t316)) % 33.51/33.89 (define @t321 () (or @t319 @t318 @t317 @t316)) % 33.51/33.89 (define @t322 () (or @t151 @t321)) % 33.51/33.89 (define @t323 () (@list @t2 @t309 @t311)) % 33.51/33.89 (define @t324 () (forall @t323 @t322)) % 33.51/33.89 (define @t325 () (@list @t309 @t311)) % 33.51/33.89 (define @t326 () (forall @t325 @t322)) % 33.51/33.89 (define @t327 () (forall @t325 @t321)) % 33.51/33.89 (define @t328 () (@var "BOUND_VARIABLE_7800" $$unsorted)) % 33.51/33.89 (define @t329 () (or @t151 @t327)) % 33.51/33.89 (define @t330 () (tptp.u1_orders_2 @t328)) % 33.51/33.89 (define @t331 () (tptp.u1_struct_0 @t328)) % 33.51/33.89 (define @t332 () (and (= @t40 @t331) (= @t39 @t330))) % 33.51/33.89 (define @t333 () (= @t3 @t328)) % 33.51/33.89 (define @t334 () (not (tptp.l1_orders_2 @t328))) % 33.51/33.89 (define @t335 () (not (tptp.v1_orders_2 @t328))) % 33.51/33.89 (define @t336 () (@list @t1 @t328)) % 33.51/33.89 (define @t337 () (forall @t336 (or @t162 @t335 @t334 (= @t333 @t332)))) % 33.51/33.89 (define @t338 () (and (= @t331 @t40) (= @t330 @t39))) % 33.51/33.89 (define @t339 () (= @t338 @t333)) % 33.51/33.89 (define @t340 () (or @t162 @t335 @t334 @t339)) % 33.51/33.89 (define @t341 () (or @t335 @t334 @t339)) % 33.51/33.89 (define @t342 () (or @t162 @t341)) % 33.51/33.89 (define @t343 () (forall @t336 @t342)) % 33.51/33.89 (define @t344 () (@list @t328)) % 33.51/33.89 (define @t345 () (forall @t344 @t342)) % 33.51/33.89 (define @t346 () (forall @t344 @t341)) % 33.51/33.89 (define @t347 () (or @t162 @t346)) % 33.51/33.89 (define @t348 () (= @t3 @t31)) % 33.51/33.89 (define @t349 () (= @t41 @t348)) % 33.51/33.89 (define @t350 () (not @t43)) % 33.51/33.89 (define @t351 () (not @t44)) % 33.51/33.89 (define @t352 () (or @t351 @t350 @t349)) % 33.51/33.89 (define @t353 () (forall @t47 @t352)) % 33.51/33.89 (define @t354 () (tptp.u1_orders_2 @t155)) % 33.51/33.89 (define @t355 () (tptp.u1_orders_2 @t156)) % 33.51/33.89 (define @t356 () (tptp.k2_xboole_0 (tptp.k2_xboole_0 @t355 @t354) (tptp.k7_relset_1 @t192 @t192 @t191 @t191 @t355 @t354))) % 33.51/33.89 (define @t357 () (= @t158 @t306)) % 33.51/33.89 (define @t358 () (and @t357 (= @t159 @t356))) % 33.51/33.89 (define @t359 () (and (= @t306 @t158) (= @t356 @t159))) % 33.51/33.89 (define @t360 () (= @t359 (= @t157 @t157))) % 33.51/33.89 (define @t361 () (not @t211)) % 33.51/33.89 (define @t362 () (or @t206 @t200 @t361 @t218 @t360)) % 33.51/33.89 (define @t363 () (forall @t323 (or @t151 @t319 @t318 @t317 (= @t315 @t312)))) % 33.51/33.89 (define @t364 () (or @t206 @t200 @t361 @t218 @t358)) % 33.51/33.89 (define @t365 () (tptp.r2_hidden @t237 @t306)) % 33.51/33.89 (define @t366 () (tptp.r2_hidden @t237 @t191)) % 33.51/33.89 (define @t367 () (tptp.r2_hidden @t237 @t192)) % 33.51/33.89 (define @t368 () (or @t367 @t366)) % 33.51/33.89 (define @t369 () (= @t365 @t368)) % 33.51/33.89 (define @t370 () (@var "BOUND_VARIABLE_8048" $$unsorted)) % 33.51/33.89 (define @t371 () (tptp.u1_struct_0 @t370)) % 33.51/33.89 (define @t372 () (@var "BOUND_VARIABLE_8052" $$unsorted)) % 33.51/33.89 (define @t373 () (tptp.r2_hidden @t372 @t371)) % 33.51/33.89 (define @t374 () (@var "BOUND_VARIABLE_8050" $$unsorted)) % 33.51/33.89 (define @t375 () (not (tptp.r2_hidden @t374 @t371))) % 33.51/33.89 (define @t376 () (not (tptp.r2_hidden (tptp.k4_tarski @t374 @t372) (tptp.u1_orders_2 (tptp.k1_latsum_1 @t2 @t370))))) % 33.51/33.89 (define @t377 () (tptp.k3_xboole_0 @t10 @t371)) % 33.51/33.89 (define @t378 () (not (tptp.m1_subset_1 @t377 @t14))) % 33.51/33.89 (define @t379 () (not (tptp.v13_waybel_0 @t377 @t2))) % 33.51/33.89 (define @t380 () (not (tptp.l1_orders_2 @t370))) % 33.51/33.89 (define @t381 () (or @t380 @t379 @t378 @t376 @t375 @t373)) % 33.51/33.89 (define @t382 () (or @t151 @t381)) % 33.51/33.89 (define @t383 () (forall (@list @t2 @t370 @t374 @t372) @t382)) % 33.51/33.89 (define @t384 () (@list @t370 @t374 @t372)) % 33.51/33.89 (define @t385 () (forall @t384 @t382)) % 33.51/33.89 (define @t386 () (forall @t384 @t381)) % 33.51/33.89 (define @t387 () (@var "BOUND_VARIABLE_8030" $$unsorted)) % 33.51/33.89 (define @t388 () (@var "BOUND_VARIABLE_8028" $$unsorted)) % 33.51/33.89 (define @t389 () (or @t151 @t386)) % 33.51/33.89 (define @t390 () (tptp.r2_hidden @t387 @t9)) % 33.51/33.89 (define @t391 () (not (tptp.r2_hidden @t388 @t9))) % 33.51/33.89 (define @t392 () (not (tptp.r2_hidden (tptp.k4_tarski @t388 @t387) @t94))) % 33.51/33.89 (define @t393 () (or @t162 @t175 @t174 @t392 @t391 @t390)) % 33.51/33.89 (define @t394 () (@list @t1 @t388 @t387)) % 33.51/33.89 (define @t395 () (forall @t394 @t393)) % 33.51/33.89 (define @t396 () (or @t392 @t391 @t390)) % 33.51/33.89 (define @t397 () (or @t162 @t175 @t174 @t396)) % 33.51/33.89 (define @t398 () (forall @t394 @t397)) % 33.51/33.89 (define @t399 () (@list @t388 @t387)) % 33.51/33.89 (define @t400 () (forall @t399 @t397)) % 33.51/33.89 (define @t401 () (forall @t399 @t396)) % 33.51/33.89 (define @t402 () (or @t162 @t175 @t174 @t401)) % 33.51/33.89 (define @t403 () (not @t93)) % 33.51/33.89 (define @t404 () (or @t291 @t403 @t92)) % 33.51/33.89 (define @t405 () (forall @t64 @t404)) % 33.51/33.89 (define @t406 () (or @t162 @t175 @t174 @t405)) % 33.51/33.89 (define @t407 () (or @t175 @t174 @t405)) % 33.51/33.89 (define @t408 () (or @t175 @t174 @t404)) % 33.51/33.89 (define @t409 () (or @t175 @t174 @t291 @t403 @t92)) % 33.51/33.89 (define @t410 () (or @t175 @t174 @t291 @t403)) % 33.51/33.89 (define @t411 () (@list @t156 @t155 @t238 @t237)) % 33.51/33.89 (define @t412 () (tptp.r2_hidden @t238 @t191)) % 33.51/33.89 (define @t413 () (not @t412)) % 33.51/33.89 (define @t414 () (or @t206 @t200 @t197 @t195 @t245 @t413 @t366)) % 33.51/33.89 (define @t415 () (@var "BOUND_VARIABLE_8257" $$unsorted)) % 33.51/33.89 (define @t416 () (@var "BOUND_VARIABLE_8261" $$unsorted)) % 33.51/33.89 (define @t417 () (@var "BOUND_VARIABLE_8259" $$unsorted)) % 33.51/33.89 (define @t418 () (tptp.k4_tarski @t417 @t416)) % 33.51/33.89 (define @t419 () (tptp.r2_hidden @t418 (tptp.u1_orders_2 @t415))) % 33.51/33.89 (define @t420 () (tptp.u1_struct_0 @t415)) % 33.51/33.89 (define @t421 () (not (tptp.r2_hidden @t416 @t420))) % 33.51/33.89 (define @t422 () (not (tptp.r2_hidden @t417 @t420))) % 33.51/33.89 (define @t423 () (not (tptp.r2_hidden @t418 (tptp.u1_orders_2 (tptp.k1_latsum_1 @t2 @t415))))) % 33.51/33.89 (define @t424 () (not (tptp.v3_orders_2 @t415))) % 33.51/33.89 (define @t425 () (not (tptp.r1_latsum_1 @t2 @t415))) % 33.51/33.89 (define @t426 () (not (tptp.l1_orders_2 @t415))) % 33.51/33.89 (define @t427 () (or @t426 @t425 @t424 @t423 @t422 @t421 @t419)) % 33.51/33.89 (define @t428 () (or @t151 @t427)) % 33.51/33.89 (define @t429 () (forall (@list @t2 @t415 @t417 @t416) @t428)) % 33.51/33.89 (define @t430 () (@list @t415 @t417 @t416)) % 33.51/33.89 (define @t431 () (forall @t430 @t428)) % 33.51/33.89 (define @t432 () (forall @t430 @t427)) % 33.51/33.89 (define @t433 () (@var "BOUND_VARIABLE_8237" $$unsorted)) % 33.51/33.89 (define @t434 () (@var "BOUND_VARIABLE_8235" $$unsorted)) % 33.51/33.89 (define @t435 () (or @t151 @t432)) % 33.51/33.89 (define @t436 () (tptp.k4_tarski @t434 @t433)) % 33.51/33.89 (define @t437 () (tptp.r2_hidden @t436 @t38)) % 33.51/33.89 (define @t438 () (not (tptp.r2_hidden @t433 @t9))) % 33.51/33.89 (define @t439 () (not (tptp.r2_hidden @t434 @t9))) % 33.51/33.89 (define @t440 () (not (tptp.r2_hidden @t436 @t94))) % 33.51/33.89 (define @t441 () (or @t162 @t176 @t171 @t440 @t439 @t438 @t437)) % 33.51/33.89 (define @t442 () (@list @t1 @t434 @t433)) % 33.51/33.89 (define @t443 () (forall @t442 @t441)) % 33.51/33.89 (define @t444 () (or @t440 @t439 @t438 @t437)) % 33.51/33.89 (define @t445 () (or @t162 @t176 @t171 @t444)) % 33.51/33.89 (define @t446 () (forall @t442 @t445)) % 33.51/33.89 (define @t447 () (@list @t434 @t433)) % 33.51/33.89 (define @t448 () (forall @t447 @t445)) % 33.51/33.89 (define @t449 () (forall @t447 @t444)) % 33.51/33.89 (define @t450 () (or @t162 @t176 @t171 @t449)) % 33.51/33.89 (define @t451 () (not @t92)) % 33.51/33.89 (define @t452 () (or @t291 @t403 @t451 @t114)) % 33.51/33.89 (define @t453 () (forall @t64 @t452)) % 33.51/33.89 (define @t454 () (or @t162 @t176 @t171 @t453)) % 33.51/33.89 (define @t455 () (or @t176 @t171 @t453)) % 33.51/33.89 (define @t456 () (or @t176 @t171 @t452)) % 33.51/33.89 (define @t457 () (or @t291 @t403 @t451 @t176 @t171 @t114)) % 33.51/33.89 (define @t458 () (or @t291 @t403 @t451 @t176 @t171)) % 33.51/33.89 (define @t459 () (tptp.r2_hidden @t240 @t354)) % 33.51/33.89 (define @t460 () (not @t366)) % 33.51/33.89 (define @t461 () (or @t206 @t200 @t199 @t190 @t242 @t460 @t413 @t459)) % 33.51/33.89 (define @t462 () (tptp.r2_hidden @t243 @t354)) % 33.51/33.89 (define @t463 () (or @t206 @t200 @t199 @t190 @t245 @t413 @t460 @t462)) % 33.51/33.89 (define @t464 () (@list @t191 @t191 @t354)) % 33.51/33.89 (define @t465 () (@list @t155)) % 33.51/33.89 (define @t466 () (tptp.m2_relset_1 @t354 @t191 @t191)) % 33.51/33.89 (define @t467 () (or @t200 @t466)) % 33.51/33.89 (define @t468 () (tptp.m1_subset_1 @t354 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t191 @t191)))) % 33.51/33.89 (define @t469 () (not @t466)) % 33.51/33.89 (define @t470 () (or @t469 @t468)) % 33.51/33.89 (define @t471 () (tptp.v1_relat_1 @t354)) % 33.51/33.89 (define @t472 () (not @t468)) % 33.51/33.89 (define @t473 () (or @t472 @t471)) % 33.51/33.89 (define @t474 () (forall @t64 (or (not (tptp.r2_hidden @t31 @t191)) (not @t304) (not (tptp.r2_hidden @t60 @t354)) (not (tptp.r2_hidden @t58 @t354)) @t57))) % 33.51/33.89 (define @t475 () (tptp.r4_relat_2 @t354 @t191)) % 33.51/33.89 (define @t476 () (= @t475 @t474)) % 33.51/33.89 (define @t477 () (not @t471)) % 33.51/33.89 (define @t478 () (or @t477 @t476)) % 33.51/33.89 (define @t479 () (= @t187 @t475)) % 33.51/33.89 (define @t480 () (or @t200 @t479)) % 33.51/33.89 (define @t481 () (@list @t238 @t237)) % 33.51/33.89 (define @t482 () (not @t459)) % 33.51/33.89 (define @t483 () (not @t462)) % 33.51/33.89 (define @t484 () (or @t413 @t460 @t483 @t482 @t239)) % 33.51/33.89 (define @t485 () (or @t206 @t200 @t197 @t195 @t242 @t460 @t412)) % 33.51/33.89 (define @t486 () (tptp.r2_hidden @t238 @t306)) % 33.51/33.89 (define @t487 () (tptp.r2_hidden @t238 @t192)) % 33.51/33.89 (define @t488 () (or @t487 @t412)) % 33.51/33.89 (define @t489 () (= @t486 @t488)) % 33.51/33.89 (define @t490 () (tptp.r2_hidden @t240 @t355)) % 33.51/33.89 (define @t491 () (not @t487)) % 33.51/33.89 (define @t492 () (not @t367)) % 33.51/33.89 (define @t493 () (or @t206 @t204 @t200 @t199 @t242 @t492 @t491 @t490)) % 33.51/33.89 (define @t494 () (@list false false false false false false false false)) % 33.51/33.89 (define @t495 () (@list @t192 @t192 @t355)) % 33.51/33.89 (define @t496 () (@list @t156)) % 33.51/33.89 (define @t497 () (tptp.m2_relset_1 @t355 @t192 @t192)) % 33.51/33.89 (define @t498 () (or @t206 @t497)) % 33.51/33.89 (define @t499 () (tptp.m1_subset_1 @t355 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t192 @t192)))) % 33.51/33.89 (define @t500 () (not @t497)) % 33.51/33.89 (define @t501 () (or @t500 @t499)) % 33.51/33.89 (define @t502 () (tptp.v1_relat_1 @t355)) % 33.51/33.89 (define @t503 () (not @t499)) % 33.51/33.89 (define @t504 () (or @t503 @t502)) % 33.51/33.89 (define @t505 () (forall @t64 (or (not (tptp.r2_hidden @t31 @t192)) (not @t305) (not (tptp.r2_hidden @t60 @t355)) (not (tptp.r2_hidden @t58 @t355)) @t57))) % 33.51/33.89 (define @t506 () (tptp.r4_relat_2 @t355 @t192)) % 33.51/33.89 (define @t507 () (= @t506 @t505)) % 33.51/33.89 (define @t508 () (not @t502)) % 33.51/33.89 (define @t509 () (or @t508 @t507)) % 33.51/33.89 (define @t510 () (= @t201 @t506)) % 33.51/33.89 (define @t511 () (or @t206 @t510)) % 33.51/33.89 (define @t512 () (tptp.r2_hidden @t243 @t355)) % 33.51/33.89 (define @t513 () (or @t206 @t204 @t200 @t199 @t245 @t491 @t492 @t512)) % 33.51/33.89 (define @t514 () (not @t490)) % 33.51/33.89 (define @t515 () (not @t512)) % 33.51/33.89 (define @t516 () (or @t491 @t492 @t515 @t514 @t239)) % 33.51/33.89 (assume @p1 @t27) % 33.51/33.89 (assume @p2 (forall @t25 (=> @t23 (=> (tptp.v1_orders_2 @t2) (= @t2 (tptp.g1_orders_2 @t10 @t28)))))) % 33.51/33.89 (assume @p3 (forall @t30 (=> @t29 (not (tptp.r2_hidden @t1 @t2))))) % 33.51/33.89 (assume @p4 @t35) % 33.51/33.89 (assume @p5 (forall @t30 (= @t37 @t36))) % 33.51/33.89 (assume @p6 (forall @t30 (= (tptp.k3_xboole_0 @t2 @t1) (tptp.k3_xboole_0 @t1 @t2)))) % 33.51/33.89 (assume @p7 @t52) % 33.51/33.89 (assume @p8 @t56) % 33.51/33.89 (assume @p9 @t71) % 33.51/33.89 (assume @p10 @t73) % 33.51/33.89 (assume @p11 (forall @t30 (=> @t75 (and (tptp.v1_orders_2 @t74) (tptp.l1_orders_2 @t74))))) % 33.51/33.89 (assume @p12 @t78) % 33.51/33.89 (assume @p13 true) % 33.51/33.89 (assume @p14 (forall @t30 (=> (and @t69 (tptp.v1_relat_1 @t1)) (tptp.v1_relat_1 (tptp.k5_relat_1 @t2 @t1))))) % 33.51/33.89 (assume @p15 (forall @t83 (=> @t82 (tptp.m2_relset_1 @t81 @t2 @t53)))) % 33.51/33.89 (assume @p16 (forall @t25 (=> @t23 @t84))) % 33.51/33.89 (assume @p17 @t86) % 33.51/33.89 (assume @p18 @t88) % 33.51/33.89 (assume @p19 (exists @t25 @t23)) % 33.51/33.89 (assume @p20 (exists @t25 @t84)) % 33.51/33.89 (assume @p21 (forall @t30 (exists @t47 @t89))) % 33.51/33.89 (assume @p22 (forall @t25 (exists @t21 (tptp.m1_subset_1 @t1 @t2)))) % 33.51/33.89 (assume @p23 (forall @t30 (exists @t47 @t85))) % 33.51/33.89 (assume @p24 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 33.51/33.89 (assume @p25 (forall @t30 (=> @t91 (not (tptp.v1_xboole_0 @t37))))) % 33.51/33.89 (assume @p26 (forall @t30 (=> @t91 (not (tptp.v1_xboole_0 @t36))))) % 33.51/33.89 (assume @p27 (forall @t30 (=> @t75 (forall @t64 (=> (= @t74 (tptp.g1_orders_2 @t31 @t53)) (and (= @t2 @t31) (= @t1 @t53))))))) % 33.51/33.89 (assume @p28 (forall @t30 (= (tptp.k2_xboole_0 @t2 @t2) @t2))) % 33.51/33.89 (assume @p29 (forall @t30 (= (tptp.k3_xboole_0 @t2 @t2) @t2))) % 33.51/33.89 (assume @p30 (exists @t25 @t90)) % 33.51/33.89 (assume @p31 (exists @t25 @t91)) % 33.51/33.89 (assume @p32 (forall @t25 (=> @t23 (exists @t21 (and (tptp.m1_subset_1 @t1 @t14) (tptp.v12_waybel_0 @t1 @t2) (tptp.v13_waybel_0 @t1 @t2)))))) % 33.51/33.89 (assume @p33 (forall @t83 (=> @t82 (= @t81 (tptp.k5_relat_1 @t80 @t79))))) % 33.51/33.89 (assume @p34 (forall @t34 (= @t85 @t89))) % 33.51/33.89 (assume @p35 (forall @t30 (tptp.r1_tarski @t2 @t2))) % 33.51/33.89 (assume @p36 @t101) % 33.51/33.89 (assume @p37 (forall @t25 (= (tptp.k2_xboole_0 @t2 tptp.k1_xboole_0) @t2))) % 33.51/33.89 (assume @p38 (forall @t30 (=> @t29 @t102))) % 33.51/33.89 (assume @p39 (forall @t25 (=> @t23 (forall @t21 (=> @t20 (forall @t64 (=> (and @t13 @t12 @t95 @t104) @t103))))))) % 33.51/33.89 (assume @p40 (forall @t25 (= (tptp.k3_xboole_0 @t2 tptp.k1_xboole_0) tptp.k1_xboole_0))) % 33.51/33.89 (assume @p41 (forall @t30 (=> @t102 (or @t105 @t29)))) % 33.51/33.89 (assume @p42 (forall @t30 (= (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t1)) (tptp.r1_tarski @t2 @t1)))) % 33.51/33.89 (assume @p43 @t112) % 33.51/33.89 (assume @p44 (forall @t34 (=> (and @t29 @t113) (tptp.m1_subset_1 @t2 @t31)))) % 33.51/33.89 (assume @p45 @t120) % 33.51/33.89 (assume @p46 (forall @t34 (not (and @t29 @t113 (tptp.v1_xboole_0 @t31))))) % 33.51/33.89 (assume @p47 (forall @t25 (=> @t90 (= @t2 tptp.k1_xboole_0)))) % 33.51/33.89 (assume @p48 (forall @t30 (not (and @t29 @t105)))) % 33.51/33.89 (assume @p49 (forall @t30 (not (and @t90 (not (= @t2 @t1)) @t105)))) % 33.51/33.89 (step @p50 :rule quant-merge-prenex :args ((= (forall @t25 @t128) (forall (@list @t2 @t123) @t126)))) % 33.51/33.89 (step @p51 :rule alpha_equiv :args (@t129 (@list @t123) @t130)) % 33.51/33.89 (step @p52 :rule refl :args (@t125)) % 33.51/33.89 (step @p53 :rule nary_cong :premises (@p52 @p51) :args (@t131)) % 33.51/33.89 (step @p54 :rule quant-miniscope-or :args ((= @t128 @t131))) % 33.51/33.89 (step @p55 :rule trans :premises (@p54 @p53)) % 33.51/33.89 (step @p56 :rule symm :premises (@p55)) % 33.51/33.89 (step @p57 :rule cong :premises (@p56) :args ((forall @t25 (or @t125 @t135)))) % 33.51/33.89 (step @p58 :rule trans :premises (@p57 @p50)) % 33.51/33.89 (step @p59 :rule bool-impl-elim :args (@t69 @t135)) % 33.51/33.89 (step @p60 :rule cong :premises (@p59) :args ((forall @t25 (=> @t69 @t135)))) % 33.51/33.89 (step @p61 :rule trans :premises (@p60 @p58)) % 33.51/33.89 (step @p62 :rule aci_norm :args ((= (or @t136 @t57) @t134))) % 33.51/33.89 (step @p63 :rule refl :args (@t57)) % 33.51/33.89 (step @p64 :rule aci_norm :args ((= (or @t133 (or @t132 (or @t122 @t121))) @t136))) % 33.51/33.89 (step @p65 :rule bool-and-de-morgan :args (@t61 @t59 true)) % 33.51/33.89 (step @p66 :rule refl :args (@t132)) % 33.51/33.89 (step @p67 :rule nary_cong :premises (@p66 @p65) :args ((or @t132 (not (and @t61 @t59))))) % 33.51/33.89 (step @p68 :rule bool-and-de-morgan :args (@t54 @t61 (and @t59))) % 33.51/33.89 (step @p69 :rule trans :premises (@p68 @p67)) % 33.51/33.89 (step @p70 :rule refl :args (@t133)) % 33.51/33.89 (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or @t133 (not (and @t54 @t61 @t59))))) % 33.51/33.89 (step @p72 :rule bool-and-de-morgan :args (@t62 @t54 (and @t61 @t59))) % 33.51/33.89 (step @p73 :rule trans :premises (@p72 @p71)) % 33.51/33.89 (step @p74 :rule trans :premises (@p73 @p64)) % 33.51/33.89 (step @p75 :rule nary_cong :premises (@p74 @p63) :args ((or (not @t63) @t57))) % 33.51/33.89 (step @p76 :rule trans :premises (@p75 @p62)) % 33.51/33.89 (step @p77 :rule bool-impl-elim :args (@t63 @t57)) % 33.51/33.89 (step @p78 :rule trans :premises (@p77 @p76)) % 33.51/33.89 (step @p79 :rule cong :premises (@p78) :args (@t65)) % 33.51/33.89 (step @p80 :rule refl :args (@t66)) % 33.51/33.89 (step @p81 :rule cong :premises (@p80 @p79) :args (@t67)) % 33.51/33.89 (step @p82 :rule cong :premises (@p81) :args (@t68)) % 33.51/33.89 (step @p83 :rule refl :args (@t69)) % 33.51/33.89 (step @p84 :rule cong :premises (@p83 @p82) :args (@t70)) % 33.51/33.89 (step @p85 :rule cong :premises (@p84) :args (@t71)) % 33.51/33.89 (step @p86 :rule trans :premises (@p85 @p61)) % 33.51/33.89 (step @p87 :rule eq_resolve :premises (@p9 @p86)) % 33.51/33.89 (step @p88 :rule instantiate :premises (@p87) :args ((@list @t159 @t158))) % 33.51/33.89 (step @p89 :rule bool-impl-elim :args (@t33 @t32)) % 33.51/33.89 (step @p90 :rule cong :premises (@p89) :args (@t35)) % 33.51/33.89 (step @p91 :rule eq_resolve :premises (@p4 @p90)) % 33.51/33.89 (step @p92 :rule instantiate :premises (@p91) :args (@t160)) % 33.51/33.89 (step @p93 :rule bool-impl-elim :args (@t85 @t33)) % 33.51/33.89 (step @p94 :rule cong :premises (@p93) :args (@t86)) % 33.51/33.89 (step @p95 :rule eq_resolve :premises (@p17 @p94)) % 33.51/33.89 (step @p96 :rule instantiate :premises (@p95) :args (@t160)) % 33.51/33.89 (step @p97 :rule bool-impl-elim :args (@t23 @t87)) % 33.51/33.89 (step @p98 :rule cong :premises (@p97) :args (@t88)) % 33.51/33.89 (step @p99 :rule eq_resolve :premises (@p18 @p98)) % 33.51/33.89 (step @p100 :rule instantiate :premises (@p99) :args (@t161)) % 33.51/33.89 (step @p101 :rule aci_norm :args ((= (or (or @t151 @t162) @t76) (or @t151 @t162 @t76)))) % 33.51/33.89 (step @p102 :rule refl :args (@t76)) % 33.51/33.89 (step @p103 :rule bool-and-de-morgan :args (@t23 @t20 true)) % 33.51/33.89 (step @p104 :rule nary_cong :premises (@p103 @p102) :args ((or (not @t77) @t76))) % 33.51/33.89 (step @p105 :rule trans :premises (@p104 @p101)) % 33.51/33.89 (step @p106 :rule bool-impl-elim :args (@t77 @t76)) % 33.51/33.89 (step @p107 :rule trans :premises (@p106 @p105)) % 33.51/33.89 (step @p108 :rule cong :premises (@p107) :args (@t78)) % 33.51/33.89 (step @p109 :rule eq_resolve :premises (@p12 @p108)) % 33.51/33.89 (step @p110 :rule instantiate :premises (@p109) :args ((@list @t156 @t155))) % 33.51/33.89 (step @p111 :rule aci_norm :args ((= @t164 @t152))) % 33.51/33.89 (step @p112 :rule cong :premises (@p111) :args (@t165)) % 33.51/33.89 (step @p113 :rule quant-merge-prenex :args ((= (forall @t25 @t167) @t165))) % 33.51/33.89 (step @p114 :rule alpha_equiv :args (@t168 (@list @t137) @t130)) % 33.51/33.89 (step @p115 :rule refl :args (@t149)) % 33.51/33.89 (step @p116 :rule refl :args (@t150)) % 33.51/33.89 (step @p117 :rule refl :args (@t151)) % 33.51/33.89 (step @p118 :rule nary_cong :premises (@p117 @p116 @p115 @p114) :args (@t169)) % 33.51/33.89 (step @p119 :rule quant-miniscope-or :args ((= @t167 @t169))) % 33.51/33.89 (step @p120 :rule trans :premises (@p119 @p118)) % 33.51/33.89 (step @p121 :rule symm :premises (@p120)) % 33.51/33.89 (step @p122 :rule cong :premises (@p121) :args ((forall @t25 @t179))) % 33.51/33.89 (step @p123 :rule trans :premises (@p122 @p113)) % 33.51/33.89 (step @p124 :rule trans :premises (@p123 @p112)) % 33.51/33.89 (step @p125 :rule aci_norm :args ((= (or @t151 @t180) @t179))) % 33.51/33.89 (step @p126 :rule bool-impl-elim :args (@t23 @t180)) % 33.51/33.89 (step @p127 :rule trans :premises (@p126 @p125)) % 33.51/33.89 (step @p128 :rule cong :premises (@p127) :args ((forall @t25 (=> @t23 @t180)))) % 33.51/33.89 (step @p129 :rule trans :premises (@p128 @p124)) % 33.51/33.89 (step @p130 :rule quant-miniscope-or :args ((= (forall @t21 @t181) @t180))) % 33.51/33.89 (step @p131 :rule aci_norm :args ((= @t182 @t181))) % 33.51/33.89 (step @p132 :rule cong :premises (@p131) :args ((forall @t21 @t182))) % 33.51/33.89 (step @p133 :rule trans :premises (@p132 @p130)) % 33.51/33.89 (step @p134 :rule aci_norm :args ((= (or @t162 @t183) @t182))) % 33.51/33.89 (step @p135 :rule aci_norm :args ((= (or @t184 @t4) @t183))) % 33.51/33.89 (step @p136 :rule refl :args (@t4)) % 33.51/33.89 (step @p137 :rule aci_norm :args ((= (or @t176 (or @t175 (or @t174 (or @t173 (or @t172 (or @t150 (or @t149 (or @t171 @t170)))))))) @t184))) % 33.51/33.89 (step @p138 :rule bool-and-de-morgan :args (@t6 @t5 true)) % 33.51/33.89 (step @p139 :rule nary_cong :premises (@p115 @p138) :args ((or @t149 (not (and @t6 @t5))))) % 33.51/33.89 (step @p140 :rule bool-and-de-morgan :args (@t7 @t6 (and @t5))) % 33.51/33.89 (step @p141 :rule trans :premises (@p140 @p139)) % 33.51/33.89 (step @p142 :rule nary_cong :premises (@p116 @p141) :args ((or @t150 (not (and @t7 @t6 @t5))))) % 33.51/33.89 (step @p143 :rule bool-and-de-morgan :args (@t8 @t7 (and @t6 @t5))) % 33.51/33.89 (step @p144 :rule trans :premises (@p143 @p142)) % 33.51/33.89 (step @p145 :rule refl :args (@t172)) % 33.51/33.89 (step @p146 :rule nary_cong :premises (@p145 @p144) :args ((or @t172 (not (and @t8 @t7 @t6 @t5))))) % 33.51/33.89 (step @p147 :rule bool-and-de-morgan :args (@t12 @t8 (and @t7 @t6 @t5))) % 33.51/33.89 (step @p148 :rule trans :premises (@p147 @p146)) % 33.51/33.89 (step @p149 :rule refl :args (@t173)) % 33.51/33.89 (step @p150 :rule nary_cong :premises (@p149 @p148) :args ((or @t173 (not (and @t12 @t8 @t7 @t6 @t5))))) % 33.51/33.89 (step @p151 :rule bool-and-de-morgan :args (@t13 @t12 (and @t8 @t7 @t6 @t5))) % 33.51/33.89 (step @p152 :rule trans :premises (@p151 @p150)) % 33.51/33.89 (step @p153 :rule refl :args (@t174)) % 33.51/33.89 (step @p154 :rule nary_cong :premises (@p153 @p152) :args ((or @t174 (not (and @t13 @t12 @t8 @t7 @t6 @t5))))) % 33.51/33.89 (step @p155 :rule bool-and-de-morgan :args (@t15 @t13 (and @t12 @t8 @t7 @t6 @t5))) % 33.51/33.89 (step @p156 :rule trans :premises (@p155 @p154)) % 33.51/33.89 (step @p157 :rule refl :args (@t175)) % 33.51/33.89 (step @p158 :rule nary_cong :premises (@p157 @p156) :args ((or @t175 (not (and @t15 @t13 @t12 @t8 @t7 @t6 @t5))))) % 33.51/33.89 (step @p159 :rule bool-and-de-morgan :args (@t16 @t15 (and @t13 @t12 @t8 @t7 @t6 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@t23 @t443)))) % 33.51/33.89 (step @p557 :rule trans :premises (@p556 @p554)) % 33.51/33.89 (step @p558 :rule aci_norm :args ((= @t445 @t441))) % 33.51/33.89 (step @p559 :rule cong :premises (@p558) :args (@t446)) % 33.51/33.89 (step @p560 :rule quant-merge-prenex :args ((= (forall @t21 @t448) @t446))) % 33.51/33.89 (step @p561 :rule alpha_equiv :args (@t449 (@list @t434 @t433) @t287)) % 33.51/33.89 (step @p562 :rule refl :args (@t171)) % 33.51/33.89 (step @p563 :rule nary_cong :premises (@p170 @p161 @p562 @p561) :args (@t450)) % 33.51/33.89 (step @p564 :rule quant-miniscope-or :args ((= @t448 @t450))) % 33.51/33.89 (step @p565 :rule trans :premises (@p564 @p563)) % 33.51/33.89 (step @p566 :rule symm :premises (@p565)) % 33.51/33.89 (step @p567 :rule cong :premises (@p566) :args ((forall @t21 @t454))) % 33.51/33.89 (step @p568 :rule trans :premises (@p567 @p560)) % 33.51/33.89 (step @p569 :rule trans :premises (@p568 @p559)) % 33.51/33.89 (step @p570 :rule aci_norm :args ((= (or @t162 @t455) @t454))) % 33.51/33.89 (step @p571 :rule bool-impl-elim :args (@t20 @t455)) % 33.51/33.89 (step @p572 :rule trans :premises (@p571 @p570)) % 33.51/33.89 (step @p573 :rule cong :premises (@p572) :args ((forall @t21 (=> @t20 @t455)))) % 33.51/33.89 (step @p574 :rule trans :premises (@p573 @p569)) % 33.51/33.89 (step @p575 :rule quant-miniscope-or :args ((= (forall @t64 @t456) @t455))) % 33.51/33.89 (step @p576 :rule aci_norm :args ((= @t457 @t456))) % 33.51/33.89 (step @p577 :rule cong :premises (@p576) :args ((forall @t64 @t457))) % 33.51/33.89 (step @p578 :rule trans :premises (@p577 @p575)) % 33.51/33.89 (step @p579 :rule aci_norm :args ((= (or @t458 @t114) @t457))) % 33.51/33.89 (step @p580 :rule refl :args (@t114)) % 33.51/33.89 (step @p581 :rule aci_norm :args ((= (or @t291 (or @t403 (or @t451 (or @t176 @t171)))) @t458))) % 33.51/33.89 (step @p582 :rule bool-and-de-morgan :args (@t17 @t6 true)) % 33.51/33.89 (step @p583 :rule refl :args (@t451)) % 33.51/33.89 (step @p584 :rule nary_cong :premises (@p583 @p582) :args ((or @t451 (not (and @t17 @t6))))) % 33.51/33.89 (step @p585 :rule bool-and-de-morgan :args (@t92 @t17 (and @t6))) % 33.51/33.89 (step @p586 :rule trans :premises (@p585 @p584)) % 33.51/33.89 (step @p587 :rule refl :args (@t403)) % 33.51/33.89 (step @p588 :rule nary_cong :premises (@p587 @p586) :args ((or @t403 (not (and @t92 @t17 @t6))))) % 33.51/33.89 (step @p589 :rule bool-and-de-morgan :args (@t93 @t92 (and @t17 @t6))) % 33.51/33.89 (step @p590 :rule trans :premises (@p589 @p588)) % 33.51/33.89 (step @p591 :rule nary_cong :premises (@p288 @p590) :args ((or @t291 (not (and @t93 @t92 @t17 @t6))))) % 33.51/33.89 (step @p592 :rule bool-and-de-morgan :args (@t95 @t93 (and @t92 @t17 @t6))) % 33.51/33.89 (step @p593 :rule trans :premises (@p592 @p591)) % 33.51/33.89 (step @p594 :rule trans :premises (@p593 @p581)) % 33.51/33.89 (step @p595 :rule nary_cong :premises (@p594 @p580) :args ((or (not @t115) @t114))) % 33.51/33.89 (step @p596 :rule trans :premises (@p595 @p579)) % 33.51/33.89 (step @p597 :rule bool-impl-elim :args (@t115 @t114)) % 33.51/33.89 (step @p598 :rule trans :premises (@p597 @p596)) % 33.51/33.89 (step @p599 :rule cong :premises (@p598) :args (@t116)) % 33.51/33.89 (step @p600 :rule trans :premises (@p599 @p578)) % 33.51/33.89 (step @p601 :rule cong :premises (@p299 @p600) :args (@t117)) % 33.51/33.89 (step @p602 :rule cong :premises (@p601) :args (@t118)) % 33.51/33.89 (step @p603 :rule trans :premises (@p602 @p574)) % 33.51/33.89 (step @p604 :rule cong :premises (@p177 @p603) :args (@t119)) % 33.51/33.89 (step @p605 :rule cong :premises (@p604) :args (@t120)) % 33.51/33.89 (step @p606 :rule trans :premises (@p605 @p557)) % 33.51/33.89 (step @p607 :rule eq_resolve :premises (@p45 @p606)) % 33.51/33.89 (step @p608 :rule instantiate :premises (@p607) :args (@t303)) % 33.51/33.89 (step @p609 :rule cnf_or_pos :args (@t461)) % 33.51/33.89 (step @p610 :rule reordering :premises (@p609) :args ((or @t206 @t200 @t199 @t190 @t242 @t460 @t413 @t459 (not @t461)))) % 33.51/33.89 (step @p611 :rule instantiate :premises (@p607) :args (@t411)) % 33.51/33.89 (step @p612 :rule cnf_or_pos :args (@t463)) % 33.51/33.89 (step @p613 :rule reordering :premises (@p612) :args ((or @t206 @t200 @t199 @t190 @t245 @t460 @t413 @t462 (not @t463)))) % 33.51/33.89 (step @p614 :rule instantiate :premises (@p87) :args ((@list @t354 @t191))) % 33.51/33.89 (step @p615 :rule instantiate :premises (@p91) :args (@t464)) % 33.51/33.89 (step @p616 :rule instantiate :premises (@p95) :args (@t464)) % 33.51/33.89 (step @p617 :rule instantiate :premises (@p99) :args (@t465)) % 33.51/33.89 (step @p618 :rule cnf_or_pos :args (@t467)) % 33.51/33.89 (step @p619 :rule reordering :premises (@p618) :args ((or @t200 @t466 (not @t467)))) % 33.51/33.89 (step @p620 :rule chain_m_resolution :premises (@p619 @p190 @p617) :args (@t466 @t220 (@list @t185 @t467))) % 33.51/33.89 (step @p621 :rule cnf_or_pos :args (@t470)) % 33.51/33.89 (step @p622 :rule reordering :premises (@p621) :args ((or @t469 @t468 (not @t470)))) % 33.51/33.89 (step @p623 :rule chain_m_resolution :premises (@p622 @p620 @p616) :args (@t468 @t220 (@list @t466 @t470))) % 33.51/33.89 (step @p624 :rule cnf_or_pos :args (@t473)) % 33.51/33.89 (step @p625 :rule reordering :premises (@p624) :args ((or @t471 @t472 (not @t473)))) % 33.51/33.89 (step @p626 :rule chain_m_resolution :premises (@p625 @p623 @p615) :args (@t471 @t220 (@list @t468 @t473))) % 33.51/33.89 (step @p627 :rule cnf_or_pos :args (@t478)) % 33.51/33.89 (step @p628 :rule reordering :premises (@p627) :args ((or @t477 @t476 (not @t478)))) % 33.51/33.89 (step @p629 :rule chain_m_resolution :premises (@p628 @p626 @p614) :args (@t476 @t220 (@list @t471 @t478))) % 33.51/33.89 (step @p630 :rule instantiate :premises (@p217) :args (@t465)) % 33.51/33.89 (step @p631 :rule cnf_or_pos :args (@t480)) % 33.51/33.89 (step @p632 :rule reordering :premises (@p631) :args ((or @t200 @t479 (not @t480)))) % 33.51/33.89 (step @p633 :rule chain_m_resolution :premises (@p632 @p190 @p630) :args (@t479 @t220 (@list @t185 @t480))) % 33.51/33.89 (step @p634 :rule bool-double-not-elim :args (@t187)) % 33.51/33.89 (step @p635 :rule nary_cong :premises (@p185 @p634) :args ((or @t207 (not @t188)))) % 33.51/33.89 (step @p636 :rule cnf_or_neg :args (@t207 10)) % 33.51/33.89 (step @p637 :rule eq_resolve :premises (@p636 @p635)) % 33.51/33.89 (step @p638 :rule reordering :premises (@p637) :args ((or @t187 @t207))) % 33.51/33.89 (step @p639 :rule chain_m_resolution :premises (@p638 @p183) :args (@t187 @t208 @t209)) % 33.51/33.89 (step @p640 :rule cnf_equiv_pos1 :args (@t479)) % 33.51/33.89 (step @p641 :rule reordering :premises (@p640) :args ((or @t188 @t475 (not @t479)))) % 33.51/33.89 (step @p642 :rule chain_m_resolution :premises (@p641 @p639 @p633) :args (@t475 @t220 (@list @t187 @t479))) % 33.51/33.89 (step @p643 :rule cnf_equiv_pos1 :args (@t476)) % 33.51/33.89 (step @p644 :rule reordering :premises (@p643) :args ((or (not @t475) @t474 (not @t476)))) % 33.51/33.89 (step @p645 :rule chain_m_resolution :premises (@p644 @p642 @p629) :args (@t474 @t220 (@list @t475 @t476))) % 33.51/33.89 (step @p646 :rule instantiate :premises (@p645) :args (@t481)) % 33.51/33.89 (step @p647 :rule cnf_or_pos :args (@t484)) % 33.51/33.89 (step @p648 :rule reordering :premises (@p647) :args ((or @t239 @t460 @t413 @t483 @t482 (not @t484)))) % 33.51/33.89 (step @p649 :rule chain_m_resolution :premises (@p648 @p646 @p232 @p613 @p611 @p522 @p537 @p531 @p190 @p196 @p610 @p608 @p543 @p537 @p531 @p190 @p196 @p525 @p523 @p522 @p516 @p510 @p190 @p196) :args (@t413 (@list false true false false false false false false false false false false false false false false false false false false false false false) (@list @t484 @t239 @t462 @t463 @t244 @t189 @t198 @t185 @t205 @t459 @t461 @t241 @t189 @t198 @t185 @t205 @t366 @t414 @t244 @t194 @t196 @t185 @t205))) % 33.51/33.89 (step @p650 :rule cnf_or_pos :args (@t485)) % 33.51/33.89 (step @p651 :rule reordering :premises (@p650) :args ((or @t206 @t200 @t197 @t195 @t242 @t460 @t412 (not @t485)))) % 33.51/33.89 (step @p652 :rule chain_m_resolution :premises (@p651 @p196 @p190 @p510 @p516 @p543 @p649 @p504) :args (@t460 (@list false false false false false true false) (@list @t205 @t185 @t196 @t194 @t241 @t412 @t485))) % 33.51/33.89 (step @p653 :rule cnf_or_pos :args (@t368)) % 33.51/33.89 (step @p654 :rule reordering :premises (@p653) :args ((or @t366 @t367 (not @t368)))) % 33.51/33.89 (step @p655 :rule chain_m_resolution :premises (@p654 @p652 @p445) :args (@t367 @t235 (@list @t366 @t368))) % 33.51/33.89 (step @p656 :rule instantiate :premises (@p323) :args ((@list @t238))) % 33.51/33.89 (step @p657 :rule bool-double-not-elim :args (@t248)) % 33.51/33.89 (step @p658 :rule nary_cong :premises (@p326 @p657) :args ((or @t250 (not @t249)))) % 33.51/33.89 (step @p659 :rule cnf_or_neg :args (@t250 0)) % 33.51/33.89 (step @p660 :rule eq_resolve :premises (@p659 @p658)) % 33.51/33.89 (step @p661 :rule reordering :premises (@p660) :args ((or @t248 @t250))) % 33.51/33.89 (step @p662 :rule chain_m_resolution :premises (@p661 @p230) :args (@t248 @t208 @t251)) % 33.51/33.89 (step @p663 :rule true_intro :premises (@p662)) % 33.51/33.89 (step @p664 :rule refl :args (@t238)) % 33.51/33.89 (step @p665 :rule cong :premises (@p664 @p438) :args (@t486)) % 33.51/33.89 (step @p666 :rule trans :premises (@p665 @p663)) % 33.51/33.89 (step @p667 :rule true_elim :premises (@p666)) % 33.51/33.89 (step @p668 :rule cnf_equiv_pos1 :args (@t489)) % 33.51/33.89 (step @p669 :rule reordering :premises (@p668) :args ((or @t488 (not @t486) (not @t489)))) % 33.51/33.89 (step @p670 :rule chain_m_resolution :premises (@p669 @p667 @p656) :args (@t488 @t220 (@list @t486 @t489))) % 33.51/33.89 (step @p671 :rule cnf_or_pos :args (@t488)) % 33.51/33.89 (step @p672 :rule reordering :premises (@p671) :args ((or @t487 @t412 (not @t488)))) % 33.51/33.89 (step @p673 :rule chain_m_resolution :premises (@p672 @p649 @p670) :args (@t487 @t235 (@list @t412 @t488))) % 33.51/33.89 (step @p674 :rule bool-double-not-elim :args (@t203)) % 33.51/33.89 (step @p675 :rule nary_cong :premises (@p185 @p674) :args ((or @t207 (not @t204)))) % 33.51/33.89 (step @p676 :rule cnf_or_neg :args (@t207 1)) % 33.51/33.89 (step @p677 :rule eq_resolve :premises (@p676 @p675)) % 33.51/33.89 (step @p678 :rule reordering :premises (@p677) :args ((or @t203 @t207))) % 33.51/33.89 (step @p679 :rule chain_m_resolution :premises (@p678 @p183) :args (@t203 @t208 @t209)) % 33.51/33.89 (step @p680 :rule cnf_or_pos :args (@t493)) % 33.51/33.89 (step @p681 :rule reordering :premises (@p680) :args ((or @t206 @t204 @t200 @t199 @t242 @t491 @t492 @t490 (not @t493)))) % 33.51/33.89 (step @p682 :rule chain_m_resolution :premises (@p681 @p196 @p679 @p190 @p531 @p543 @p673 @p655 @p307) :args (@t490 @t494 (@list @t205 @t203 @t185 @t198 @t241 @t487 @t367 @t493))) % 33.51/33.89 (step @p683 :rule instantiate :premises (@p87) :args ((@list @t355 @t192))) % 33.51/33.89 (step @p684 :rule instantiate :premises (@p91) :args (@t495)) % 33.51/33.89 (step @p685 :rule instantiate :premises (@p95) :args (@t495)) % 33.51/33.89 (step @p686 :rule instantiate :premises (@p99) :args (@t496)) % 33.51/33.89 (step @p687 :rule cnf_or_pos :args (@t498)) % 33.51/33.89 (step @p688 :rule reordering :premises (@p687) :args ((or @t206 @t497 (not @t498)))) % 33.51/33.89 (step @p689 :rule chain_m_resolution :premises (@p688 @p196 @p686) :args (@t497 @t220 (@list @t205 @t498))) % 33.51/33.89 (step @p690 :rule cnf_or_pos :args (@t501)) % 33.51/33.89 (step @p691 :rule reordering :premises (@p690) :args ((or @t500 @t499 (not @t501)))) % 33.51/33.89 (step @p692 :rule chain_m_resolution :premises (@p691 @p689 @p685) :args (@t499 @t220 (@list @t497 @t501))) % 33.51/33.90 (step @p693 :rule cnf_or_pos :args (@t504)) % 33.51/33.90 (step @p694 :rule reordering :premises (@p693) :args ((or @t502 @t503 (not @t504)))) % 33.51/33.90 (step @p695 :rule chain_m_resolution :premises (@p694 @p692 @p684) :args (@t502 @t220 (@list @t499 @t504))) % 33.51/33.90 (step @p696 :rule cnf_or_pos :args (@t509)) % 33.51/33.90 (step @p697 :rule reordering :premises (@p696) :args ((or @t508 @t507 (not @t509)))) % 33.51/33.90 (step @p698 :rule chain_m_resolution :premises (@p697 @p695 @p683) :args (@t507 @t220 (@list @t502 @t509))) % 33.51/33.90 (step @p699 :rule instantiate :premises (@p217) :args (@t496)) % 33.51/33.90 (step @p700 :rule cnf_or_pos :args (@t511)) % 33.51/33.90 (step @p701 :rule reordering :premises (@p700) :args ((or @t206 @t510 (not @t511)))) % 33.51/33.90 (step @p702 :rule chain_m_resolution :premises (@p701 @p196 @p699) :args (@t510 @t220 (@list @t205 @t511))) % 33.51/33.90 (step @p703 :rule bool-double-not-elim :args (@t201)) % 33.51/33.90 (step @p704 :rule nary_cong :premises (@p185 @p703) :args ((or @t207 (not @t202)))) % 33.51/33.90 (step @p705 :rule cnf_or_neg :args (@t207 2)) % 33.51/33.90 (step @p706 :rule eq_resolve :premises (@p705 @p704)) % 33.51/33.90 (step @p707 :rule reordering :premises (@p706) :args ((or @t201 @t207))) % 33.51/33.90 (step @p708 :rule chain_m_resolution :premises (@p707 @p183) :args (@t201 @t208 @t209)) % 33.51/33.90 (step @p709 :rule cnf_equiv_pos1 :args (@t510)) % 33.51/33.90 (step @p710 :rule reordering :premises (@p709) :args ((or @t202 @t506 (not @t510)))) % 33.51/33.90 (step @p711 :rule chain_m_resolution :premises (@p710 @p708 @p702) :args (@t506 @t220 (@list @t201 @t510))) % 33.51/33.90 (step @p712 :rule cnf_equiv_pos1 :args (@t507)) % 33.51/33.90 (step @p713 :rule reordering :premises (@p712) :args ((or (not @t506) @t505 (not @t507)))) % 33.51/33.90 (step @p714 :rule chain_m_resolution :premises (@p713 @p711 @p698) :args (@t505 @t220 (@list @t506 @t507))) % 33.51/33.90 (step @p715 :rule instantiate :premises (@p714) :args (@t481)) % 33.51/33.90 (step @p716 :rule instantiate :premises (@p306) :args (@t411)) % 33.51/33.90 (step @p717 :rule cnf_or_pos :args (@t513)) % 33.51/33.90 (step @p718 :rule reordering :premises (@p717) :args ((or @t206 @t204 @t200 @t199 @t245 @t491 @t492 @t512 (not @t513)))) % 33.51/33.90 (step @p719 :rule chain_m_resolution :premises (@p718 @p196 @p679 @p190 @p531 @p522 @p673 @p655 @p716) :args (@t512 @t494 (@list @t205 @t203 @t185 @t198 @t244 @t487 @t367 @t513))) % 33.51/33.90 (step @p720 :rule cnf_or_pos :args (@t516)) % 33.51/33.90 (step @p721 :rule reordering :premises (@p720) :args ((or @t239 @t491 @t492 @t515 @t514 (not @t516)))) % 33.51/33.90 (step @p722 false :rule chain_m_resolution :premises (@p721 @p719 @p655 @p715 @p673 @p682 @p232) :args (false (@list false false false false false true) (@list @t512 @t367 @t516 @t487 @t490 @t239))) % 33.51/33.90 ) % 33.51/33.90 % SZS output end Proof % 33.51/33.90 % cvc5 exiting %------------------------------------------------------------------------------