%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU412+1 : TPTP v9.2.1. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n025.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 08:51:40 AM UTC 2026 % Result : Theorem 33.94s 34.18s % Output : Proof 33.94s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU412+1 : TPTP v9.2.1. Released v3.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n025.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 17:13:31 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 33.94/34.18 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 33.94/34.18 --- Run --no-e-matching --full-saturate-quant at 6... % 33.94/34.18 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 33.94/34.18 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.94/34.18 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.94/34.18 % SZS status Theorem % 33.94/34.18 % SZS output start Proof % 33.94/34.18 ( % 33.94/34.18 (declare-sort $$unsorted 0) % 33.94/34.18 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 33.94/34.18 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 33.94/34.18 (declare-const tptp.k5_relat_1 (-> $$unsorted $$unsorted $$unsorted)) % 33.94/34.18 (declare-const tptp.k7_relset_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.94/34.18 (declare-const tptp.k2_xboole_0 (-> $$unsorted $$unsorted $$unsorted)) % 33.94/34.18 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 33.94/34.18 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 33.94/34.18 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 33.94/34.18 (declare-const tptp.k4_xboole_0 (-> $$unsorted $$unsorted $$unsorted)) % 33.94/34.18 (declare-const tptp.l1_orders_2 (-> $$unsorted Bool)) % 33.94/34.18 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 33.94/34.18 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 33.94/34.18 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 33.94/34.18 (declare-const tptp.k3_xboole_0 (-> $$unsorted $$unsorted $$unsorted)) % 33.94/34.18 (declare-const tptp.v1_orders_2 (-> $$unsorted Bool)) % 33.94/34.18 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 33.94/34.18 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.94/34.18 (declare-const tptp.v13_waybel_0 (-> $$unsorted $$unsorted Bool)) % 33.94/34.18 (declare-const tptp.g1_orders_2 (-> $$unsorted $$unsorted $$unsorted)) % 33.94/34.18 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.94/34.18 (declare-const tptp.k1_latsum_1 (-> $$unsorted $$unsorted $$unsorted)) % 33.94/34.18 (declare-const tptp.k1_xboole_0 $$unsorted) % 33.94/34.18 (declare-const tptp.u1_orders_2 (-> $$unsorted $$unsorted)) % 33.94/34.18 (declare-const tptp.k4_tarski (-> $$unsorted $$unsorted $$unsorted)) % 33.94/34.18 (define @t1 () (@var "C" $$unsorted)) % 33.94/34.18 (define @t2 () (tptp.u1_struct_0 @t1)) % 33.94/34.18 (define @t3 () (@var "D" $$unsorted)) % 33.94/34.18 (define @t4 () (tptp.u1_struct_0 @t3)) % 33.94/34.18 (define @t5 () (@var "B" $$unsorted)) % 33.94/34.18 (define @t6 () (@var "A" $$unsorted)) % 33.94/34.18 (define @t7 () (and (tptp.r2_hidden @t6 (tptp.k4_xboole_0 @t2 @t4)) (tptp.r2_hidden @t5 (tptp.k4_xboole_0 @t4 @t2)))) % 33.94/34.18 (define @t8 () (not @t7)) % 33.94/34.18 (define @t9 () (and (tptp.r2_hidden @t6 @t4) (tptp.r2_hidden @t5 @t4))) % 33.94/34.18 (define @t10 () (not @t9)) % 33.94/34.18 (define @t11 () (and (tptp.r2_hidden @t6 @t2) (tptp.r2_hidden @t5 @t2))) % 33.94/34.18 (define @t12 () (not @t11)) % 33.94/34.18 (define @t13 () (tptp.k1_zfmisc_1 @t2)) % 33.94/34.18 (define @t14 () (tptp.k3_xboole_0 @t2 @t4)) % 33.94/34.18 (define @t15 () (tptp.m1_subset_1 @t14 @t13)) % 33.94/34.18 (define @t16 () (tptp.v13_waybel_0 @t14 @t1)) % 33.94/34.18 (define @t17 () (tptp.k4_tarski @t6 @t5)) % 33.94/34.18 (define @t18 () (tptp.r2_hidden @t17 (tptp.u1_orders_2 (tptp.k1_latsum_1 @t1 @t3)))) % 33.94/34.18 (define @t19 () (not (and @t18 @t16 @t15 @t12 @t10 @t8))) % 33.94/34.18 (define @t20 () (tptp.l1_orders_2 @t3)) % 33.94/34.18 (define @t21 () (@list @t3)) % 33.94/34.18 (define @t22 () (forall @t21 (=> @t20 @t19))) % 33.94/34.18 (define @t23 () (tptp.l1_orders_2 @t1)) % 33.94/34.18 (define @t24 () (=> @t23 @t22)) % 33.94/34.18 (define @t25 () (@list @t6 @t5 @t1)) % 33.94/34.18 (define @t26 () (forall @t25 @t24)) % 33.94/34.18 (define @t27 () (not @t26)) % 33.94/34.18 (define @t28 () (tptp.u1_orders_2 @t6)) % 33.94/34.18 (define @t29 () (tptp.u1_struct_0 @t6)) % 33.94/34.18 (define @t30 () (tptp.l1_orders_2 @t6)) % 33.94/34.18 (define @t31 () (@list @t6)) % 33.94/34.18 (define @t32 () (tptp.r2_hidden @t6 @t5)) % 33.94/34.18 (define @t33 () (@list @t6 @t5)) % 33.94/34.18 (define @t34 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t6 @t5)))) % 33.94/34.18 (define @t35 () (tptp.k2_xboole_0 @t5 @t6)) % 33.94/34.18 (define @t36 () (tptp.k2_xboole_0 @t6 @t5)) % 33.94/34.18 (define @t37 () (tptp.u1_orders_2 @t5)) % 33.94/34.18 (define @t38 () (tptp.u1_struct_0 @t5)) % 33.94/34.18 (define @t39 () (tptp.k2_xboole_0 (tptp.k2_xboole_0 @t28 @t37) (tptp.k7_relset_1 @t29 @t29 @t38 @t38 @t28 @t37))) % 33.94/34.18 (define @t40 () (tptp.k2_xboole_0 @t29 @t38)) % 33.94/34.18 (define @t41 () (tptp.k1_latsum_1 @t6 @t5)) % 33.94/34.18 (define @t42 () (= (= @t1 @t41) (and (= @t2 @t40) (= (tptp.u1_orders_2 @t1) @t39)))) % 33.94/34.18 (define @t43 () (tptp.v1_orders_2 @t1)) % 33.94/34.18 (define @t44 () (and @t43 @t23)) % 33.94/34.18 (define @t45 () (@list @t1)) % 33.94/34.18 (define @t46 () (forall @t45 (=> @t44 @t42))) % 33.94/34.18 (define @t47 () (tptp.l1_orders_2 @t5)) % 33.94/34.18 (define @t48 () (=> @t47 @t46)) % 33.94/34.18 (define @t49 () (@list @t5)) % 33.94/34.18 (define @t50 () (forall @t49 @t48)) % 33.94/34.18 (define @t51 () (=> @t30 @t50)) % 33.94/34.18 (define @t52 () (forall @t31 @t51)) % 33.94/34.18 (define @t53 () (tptp.r2_hidden @t3 @t5)) % 33.94/34.18 (define @t54 () (tptp.r2_hidden @t3 @t6)) % 33.94/34.18 (define @t55 () (tptp.r2_hidden @t3 @t1)) % 33.94/34.18 (define @t56 () (forall @t25 (= (= @t1 @t36) (forall @t21 (= @t55 (or @t54 @t53)))))) % 33.94/34.18 (define @t57 () (forall @t25 (= (= @t1 (tptp.k4_xboole_0 @t6 @t5)) (forall @t21 (= @t55 (and @t54 (not @t53))))))) % 33.94/34.18 (define @t58 () (tptp.g1_orders_2 @t6 @t5)) % 33.94/34.18 (define @t59 () (tptp.m1_relset_1 @t5 @t6 @t6)) % 33.94/34.18 (define @t60 () (and (tptp.v1_orders_2 @t41) (tptp.l1_orders_2 @t41))) % 33.94/34.18 (define @t61 () (and @t30 @t47)) % 33.94/34.18 (define @t62 () (forall @t33 (=> @t61 @t60))) % 33.94/34.18 (define @t63 () (@var "F" $$unsorted)) % 33.94/34.18 (define @t64 () (@var "E" $$unsorted)) % 33.94/34.18 (define @t65 () (tptp.k7_relset_1 @t6 @t5 @t1 @t3 @t64 @t63)) % 33.94/34.18 (define @t66 () (and (tptp.m1_relset_1 @t64 @t6 @t5) (tptp.m1_relset_1 @t63 @t1 @t3))) % 33.94/34.18 (define @t67 () (@list @t6 @t5 @t1 @t3 @t64 @t63)) % 33.94/34.18 (define @t68 () (tptp.l1_struct_0 @t6)) % 33.94/34.18 (define @t69 () (tptp.m2_relset_1 @t1 @t6 @t5)) % 33.94/34.18 (define @t70 () (forall @t25 (=> @t69 @t34))) % 33.94/34.18 (define @t71 () (tptp.m2_relset_1 @t28 @t29 @t29)) % 33.94/34.18 (define @t72 () (forall @t31 (=> @t30 @t71))) % 33.94/34.18 (define @t73 () (tptp.m1_relset_1 @t1 @t6 @t5)) % 33.94/34.18 (define @t74 () (tptp.v1_xboole_0 @t6)) % 33.94/34.18 (define @t75 () (not @t74)) % 33.94/34.18 (define @t76 () (@list @t1 @t3)) % 33.94/34.18 (define @t77 () (tptp.r2_hidden @t3 @t38)) % 33.94/34.18 (define @t78 () (tptp.r2_hidden @t1 @t38)) % 33.94/34.18 (define @t79 () (tptp.u1_orders_2 @t41)) % 33.94/34.18 (define @t80 () (tptp.r2_hidden (tptp.k4_tarski @t1 @t3) @t79)) % 33.94/34.18 (define @t81 () (tptp.k1_zfmisc_1 @t29)) % 33.94/34.18 (define @t82 () (tptp.k3_xboole_0 @t29 @t38)) % 33.94/34.18 (define @t83 () (tptp.m1_subset_1 @t82 @t81)) % 33.94/34.18 (define @t84 () (tptp.v13_waybel_0 @t82 @t6)) % 33.94/34.18 (define @t85 () (and @t84 @t83 @t80 @t78)) % 33.94/34.18 (define @t86 () (forall @t76 (=> @t85 @t77))) % 33.94/34.18 (define @t87 () (=> @t47 @t86)) % 33.94/34.18 (define @t88 () (forall @t49 @t87)) % 33.94/34.18 (define @t89 () (=> @t30 @t88)) % 33.94/34.18 (define @t90 () (forall @t31 @t89)) % 33.94/34.18 (define @t91 () (tptp.m1_subset_1 @t6 @t5)) % 33.94/34.18 (define @t92 () (tptp.v1_xboole_0 @t5)) % 33.94/34.18 (define @t93 () (or @t92 @t32)) % 33.94/34.18 (define @t94 () (forall @t33 (=> @t91 @t93))) % 33.94/34.18 (define @t95 () (tptp.m1_subset_1 @t6 @t1)) % 33.94/34.18 (define @t96 () (tptp.m1_subset_1 @t5 (tptp.k1_zfmisc_1 @t1))) % 33.94/34.18 (define @t97 () (and @t32 @t96)) % 33.94/34.18 (define @t98 () (forall @t25 (=> @t97 @t95))) % 33.94/34.18 (define @t99 () (tptp.v1_xboole_0 @t1)) % 33.94/34.18 (define @t100 () (forall @t25 (not (and @t32 @t96 @t99)))) % 33.94/34.18 (define @t101 () (@var "BOUND_VARIABLE_7717" $$unsorted)) % 33.94/34.18 (define @t102 () (tptp.u1_struct_0 @t101)) % 33.94/34.18 (define @t103 () (and (tptp.r2_hidden @t6 (tptp.k4_xboole_0 @t2 @t102)) (tptp.r2_hidden @t5 (tptp.k4_xboole_0 @t102 @t2)))) % 33.94/34.18 (define @t104 () (and (tptp.r2_hidden @t6 @t102) (tptp.r2_hidden @t5 @t102))) % 33.94/34.18 (define @t105 () (tptp.k3_xboole_0 @t2 @t102)) % 33.94/34.18 (define @t106 () (not (tptp.m1_subset_1 @t105 @t13))) % 33.94/34.18 (define @t107 () (not (tptp.v13_waybel_0 @t105 @t1))) % 33.94/34.18 (define @t108 () (not (tptp.r2_hidden @t17 (tptp.u1_orders_2 (tptp.k1_latsum_1 @t1 @t101))))) % 33.94/34.18 (define @t109 () (not (tptp.l1_orders_2 @t101))) % 33.94/34.18 (define @t110 () (not @t23)) % 33.94/34.18 (define @t111 () (or @t110 @t11 @t109 @t108 @t107 @t106 @t104 @t103)) % 33.94/34.18 (define @t112 () (@list @t6 @t5 @t1 @t101)) % 33.94/34.18 (define @t113 () (forall @t112 @t111)) % 33.94/34.18 (define @t114 () (@quantifiers_skolemize @t113 3)) % 33.94/34.18 (define @t115 () (tptp.u1_struct_0 @t114)) % 33.94/34.18 (define @t116 () (tptp.r2_hidden @t3 @t115)) % 33.94/34.18 (define @t117 () (@quantifiers_skolemize @t113 2)) % 33.94/34.18 (define @t118 () (tptp.u1_struct_0 @t117)) % 33.94/34.18 (define @t119 () (tptp.r2_hidden @t3 @t118)) % 33.94/34.18 (define @t120 () (tptp.k4_xboole_0 @t118 @t115)) % 33.94/34.18 (define @t121 () (forall @t21 (= (tptp.r2_hidden @t3 @t120) (and @t119 (not @t116))))) % 33.94/34.18 (define @t122 () (= (= @t120 @t120) @t121)) % 33.94/34.18 (define @t123 () (@list false)) % 33.94/34.18 (define @t124 () (@list @t57)) % 33.94/34.18 (define @t125 () (@quantifiers_skolemize @t113 0)) % 33.94/34.18 (define @t126 () (@list @t125)) % 33.94/34.18 (define @t127 () (tptp.k2_xboole_0 @t118 @t115)) % 33.94/34.18 (define @t128 () (forall @t21 (= (tptp.r2_hidden @t3 @t127) (or @t119 @t116)))) % 33.94/34.18 (define @t129 () (= (= @t127 @t127) @t128)) % 33.94/34.18 (define @t130 () (tptp.k1_latsum_1 @t117 @t114)) % 33.94/34.18 (define @t131 () (tptp.u1_struct_0 @t130)) % 33.94/34.18 (define @t132 () (@quantifiers_skolemize @t113 1)) % 33.94/34.18 (define @t133 () (not @t91)) % 33.94/34.18 (define @t134 () (tptp.k2_zfmisc_1 @t131 @t131)) % 33.94/34.18 (define @t135 () (tptp.k4_tarski @t125 @t132)) % 33.94/34.18 (define @t136 () (not @t96)) % 33.94/34.18 (define @t137 () (not @t32)) % 33.94/34.18 (define @t138 () (tptp.u1_orders_2 @t130)) % 33.94/34.18 (define @t139 () (@list @t135 @t138 @t134)) % 33.94/34.18 (define @t140 () (not @t47)) % 33.94/34.18 (define @t141 () (not @t30)) % 33.94/34.18 (define @t142 () (or @t109 @t108 @t107 @t106 @t104 @t103)) % 33.94/34.18 (define @t143 () (or @t110 @t11 @t142)) % 33.94/34.18 (define @t144 () (forall @t112 @t143)) % 33.94/34.18 (define @t145 () (@list @t101)) % 33.94/34.18 (define @t146 () (forall @t145 @t143)) % 33.94/34.18 (define @t147 () (forall @t145 @t142)) % 33.94/34.18 (define @t148 () (or @t110 @t11 @t147)) % 33.94/34.18 (define @t149 () (not @t15)) % 33.94/34.18 (define @t150 () (not @t16)) % 33.94/34.18 (define @t151 () (not @t18)) % 33.94/34.18 (define @t152 () (not @t20)) % 33.94/34.18 (define @t153 () (or @t152 @t151 @t150 @t149 @t9 @t7)) % 33.94/34.18 (define @t154 () (forall @t21 @t153)) % 33.94/34.18 (define @t155 () (or @t110 @t11 @t154)) % 33.94/34.18 (define @t156 () (or @t11 @t154)) % 33.94/34.18 (define @t157 () (or @t11 @t153)) % 33.94/34.18 (define @t158 () (or @t152 @t151 @t150 @t149 @t11 @t9 @t7)) % 33.94/34.18 (define @t159 () (not @t8)) % 33.94/34.18 (define @t160 () (not @t10)) % 33.94/34.18 (define @t161 () (not @t12)) % 33.94/34.18 (define @t162 () (or @t151 @t150 @t149 @t161 @t160 @t159)) % 33.94/34.18 (define @t163 () (tptp.l1_orders_2 @t114)) % 33.94/34.18 (define @t164 () (tptp.k4_xboole_0 @t115 @t118)) % 33.94/34.18 (define @t165 () (tptp.r2_hidden @t132 @t164)) % 33.94/34.18 (define @t166 () (tptp.r2_hidden @t125 @t120)) % 33.94/34.18 (define @t167 () (and @t166 @t165)) % 33.94/34.18 (define @t168 () (tptp.r2_hidden @t132 @t115)) % 33.94/34.18 (define @t169 () (tptp.r2_hidden @t125 @t115)) % 33.94/34.18 (define @t170 () (and @t169 @t168)) % 33.94/34.18 (define @t171 () (tptp.k3_xboole_0 @t118 @t115)) % 33.94/34.18 (define @t172 () (tptp.m1_subset_1 @t171 (tptp.k1_zfmisc_1 @t118))) % 33.94/34.18 (define @t173 () (not @t172)) % 33.94/34.18 (define @t174 () (tptp.v13_waybel_0 @t171 @t117)) % 33.94/34.18 (define @t175 () (not @t174)) % 33.94/34.18 (define @t176 () (tptp.r2_hidden @t135 @t138)) % 33.94/34.18 (define @t177 () (not @t176)) % 33.94/34.18 (define @t178 () (not @t163)) % 33.94/34.18 (define @t179 () (tptp.r2_hidden @t132 @t118)) % 33.94/34.18 (define @t180 () (tptp.r2_hidden @t125 @t118)) % 33.94/34.18 (define @t181 () (and @t180 @t179)) % 33.94/34.18 (define @t182 () (tptp.l1_orders_2 @t117)) % 33.94/34.18 (define @t183 () (not @t182)) % 33.94/34.18 (define @t184 () (or @t183 @t181 @t178 @t177 @t175 @t173 @t170 @t167)) % 33.94/34.18 (define @t185 () (@list true)) % 33.94/34.18 (define @t186 () (@list @t184)) % 33.94/34.18 (define @t187 () (tptp.l1_orders_2 @t130)) % 33.94/34.18 (define @t188 () (tptp.v1_orders_2 @t130)) % 33.94/34.18 (define @t189 () (and @t188 @t187)) % 33.94/34.18 (define @t190 () (or @t183 @t178 @t189)) % 33.94/34.18 (define @t191 () (@list false false false)) % 33.94/34.18 (define @t192 () (not @t189)) % 33.94/34.18 (define @t193 () (@list @t189)) % 33.94/34.18 (define @t194 () (tptp.m2_relset_1 @t138 @t131 @t131)) % 33.94/34.18 (define @t195 () (not @t187)) % 33.94/34.18 (define @t196 () (or @t195 @t194)) % 33.94/34.18 (define @t197 () (@list false false)) % 33.94/34.18 (define @t198 () (tptp.m1_subset_1 @t138 (tptp.k1_zfmisc_1 @t134))) % 33.94/34.18 (define @t199 () (not @t194)) % 33.94/34.18 (define @t200 () (or @t199 @t198)) % 33.94/34.18 (define @t201 () (tptp.m1_subset_1 @t135 @t134)) % 33.94/34.18 (define @t202 () (not @t198)) % 33.94/34.18 (define @t203 () (or @t177 @t202 @t201)) % 33.94/34.18 (define @t204 () (not @t99)) % 33.94/34.18 (define @t205 () (tptp.v1_xboole_0 @t134)) % 33.94/34.18 (define @t206 () (not @t205)) % 33.94/34.18 (define @t207 () (or @t177 @t202 @t206)) % 33.94/34.18 (define @t208 () (tptp.r2_hidden @t135 @t134)) % 33.94/34.18 (define @t209 () (not @t201)) % 33.94/34.18 (define @t210 () (or @t209 @t205 @t208)) % 33.94/34.18 (define @t211 () (tptp.r2_hidden @t132 @t131)) % 33.94/34.18 (define @t212 () (tptp.r2_hidden @t125 @t131)) % 33.94/34.18 (define @t213 () (and @t212 @t211)) % 33.94/34.18 (define @t214 () (= @t208 @t213)) % 33.94/34.18 (define @t215 () (not @t213)) % 33.94/34.18 (define @t216 () (@list @t213)) % 33.94/34.18 (define @t217 () (@var "BOUND_VARIABLE_7800" $$unsorted)) % 33.94/34.18 (define @t218 () (tptp.k1_latsum_1 @t6 @t217)) % 33.94/34.18 (define @t219 () (@var "BOUND_VARIABLE_7802" $$unsorted)) % 33.94/34.18 (define @t220 () (= @t219 @t218)) % 33.94/34.18 (define @t221 () (tptp.u1_orders_2 @t217)) % 33.94/34.18 (define @t222 () (tptp.u1_struct_0 @t217)) % 33.94/34.18 (define @t223 () (and (= (tptp.k2_xboole_0 @t29 @t222) (tptp.u1_struct_0 @t219)) (= (tptp.k2_xboole_0 (tptp.k2_xboole_0 @t28 @t221) (tptp.k7_relset_1 @t29 @t29 @t222 @t222 @t28 @t221)) (tptp.u1_orders_2 @t219)))) % 33.94/34.18 (define @t224 () (= (= @t218 @t219) @t223)) % 33.94/34.18 (define @t225 () (not (tptp.l1_orders_2 @t219))) % 33.94/34.18 (define @t226 () (not (tptp.v1_orders_2 @t219))) % 33.94/34.18 (define @t227 () (not (tptp.l1_orders_2 @t217))) % 33.94/34.18 (define @t228 () (or @t141 @t227 @t226 @t225 @t224)) % 33.94/34.18 (define @t229 () (or @t227 @t226 @t225 @t224)) % 33.94/34.18 (define @t230 () (or @t141 @t229)) % 33.94/34.18 (define @t231 () (@list @t6 @t217 @t219)) % 33.94/34.18 (define @t232 () (forall @t231 @t230)) % 33.94/34.18 (define @t233 () (@list @t217 @t219)) % 33.94/34.18 (define @t234 () (forall @t233 @t230)) % 33.94/34.18 (define @t235 () (forall @t233 @t229)) % 33.94/34.18 (define @t236 () (@var "BOUND_VARIABLE_7771" $$unsorted)) % 33.94/34.18 (define @t237 () (or @t141 @t235)) % 33.94/34.18 (define @t238 () (tptp.u1_orders_2 @t236)) % 33.94/34.18 (define @t239 () (tptp.u1_struct_0 @t236)) % 33.94/34.18 (define @t240 () (not (tptp.l1_orders_2 @t236))) % 33.94/34.18 (define @t241 () (not (tptp.v1_orders_2 @t236))) % 33.94/34.18 (define @t242 () (@list @t5 @t236)) % 33.94/34.18 (define @t243 () (forall @t242 (or @t140 @t241 @t240 (= (= @t41 @t236) (and (= @t40 @t239) (= @t39 @t238)))))) % 33.94/34.18 (define @t244 () (and (= @t239 @t40) (= @t238 @t39))) % 33.94/34.18 (define @t245 () (= (= @t236 @t41) @t244)) % 33.94/34.18 (define @t246 () (or @t140 @t241 @t240 @t245)) % 33.94/34.18 (define @t247 () (or @t241 @t240 @t245)) % 33.94/34.18 (define @t248 () (or @t140 @t247)) % 33.94/34.18 (define @t249 () (forall @t242 @t248)) % 33.94/34.18 (define @t250 () (@list @t236)) % 33.94/34.18 (define @t251 () (forall @t250 @t248)) % 33.94/34.18 (define @t252 () (forall @t250 @t247)) % 33.94/34.18 (define @t253 () (or @t140 @t252)) % 33.94/34.18 (define @t254 () (not @t43)) % 33.94/34.18 (define @t255 () (or @t254 @t110 @t42)) % 33.94/34.18 (define @t256 () (forall @t45 @t255)) % 33.94/34.18 (define @t257 () (tptp.u1_orders_2 @t114)) % 33.94/34.18 (define @t258 () (tptp.u1_orders_2 @t117)) % 33.94/34.18 (define @t259 () (tptp.k2_xboole_0 (tptp.k2_xboole_0 @t258 @t257) (tptp.k7_relset_1 @t118 @t118 @t115 @t115 @t258 @t257))) % 33.94/34.18 (define @t260 () (= @t131 @t127)) % 33.94/34.18 (define @t261 () (and @t260 (= @t138 @t259))) % 33.94/34.18 (define @t262 () (and (= @t127 @t131) (= @t259 @t138))) % 33.94/34.18 (define @t263 () (= @t262 (= @t130 @t130))) % 33.94/34.18 (define @t264 () (not @t188)) % 33.94/34.18 (define @t265 () (or @t183 @t178 @t264 @t195 @t263)) % 33.94/34.18 (define @t266 () (forall @t231 (or @t141 @t227 @t226 @t225 (= @t223 @t220)))) % 33.94/34.18 (define @t267 () (or @t183 @t178 @t264 @t195 @t261)) % 33.94/34.18 (define @t268 () (tptp.r2_hidden @t125 @t127)) % 33.94/34.18 (define @t269 () (or @t180 @t169)) % 33.94/34.18 (define @t270 () (= @t268 @t269)) % 33.94/34.18 (define @t271 () (@var "BOUND_VARIABLE_7976" $$unsorted)) % 33.94/34.18 (define @t272 () (tptp.u1_struct_0 @t271)) % 33.94/34.18 (define @t273 () (@var "BOUND_VARIABLE_7980" $$unsorted)) % 33.94/34.18 (define @t274 () (tptp.r2_hidden @t273 @t272)) % 33.94/34.18 (define @t275 () (@var "BOUND_VARIABLE_7978" $$unsorted)) % 33.94/34.18 (define @t276 () (not (tptp.r2_hidden @t275 @t272))) % 33.94/34.18 (define @t277 () (not (tptp.r2_hidden (tptp.k4_tarski @t275 @t273) (tptp.u1_orders_2 (tptp.k1_latsum_1 @t6 @t271))))) % 33.94/34.18 (define @t278 () (tptp.k3_xboole_0 @t29 @t272)) % 33.94/34.18 (define @t279 () (not (tptp.m1_subset_1 @t278 @t81))) % 33.94/34.18 (define @t280 () (not (tptp.v13_waybel_0 @t278 @t6))) % 33.94/34.18 (define @t281 () (not (tptp.l1_orders_2 @t271))) % 33.94/34.18 (define @t282 () (or @t281 @t280 @t279 @t277 @t276 @t274)) % 33.94/34.18 (define @t283 () (or @t141 @t282)) % 33.94/34.18 (define @t284 () (forall (@list @t6 @t271 @t275 @t273) @t283)) % 33.94/34.18 (define @t285 () (@list @t271 @t275 @t273)) % 33.94/34.18 (define @t286 () (forall @t285 @t283)) % 33.94/34.18 (define @t287 () (forall @t285 @t282)) % 33.94/34.18 (define @t288 () (@var "BOUND_VARIABLE_7958" $$unsorted)) % 33.94/34.18 (define @t289 () (@var "BOUND_VARIABLE_7956" $$unsorted)) % 33.94/34.18 (define @t290 () (or @t141 @t287)) % 33.94/34.18 (define @t291 () (tptp.r2_hidden @t288 @t38)) % 33.94/34.18 (define @t292 () (not (tptp.r2_hidden @t289 @t38))) % 33.94/34.18 (define @t293 () (not (tptp.r2_hidden (tptp.k4_tarski @t289 @t288) @t79))) % 33.94/34.18 (define @t294 () (not @t83)) % 33.94/34.18 (define @t295 () (not @t84)) % 33.94/34.18 (define @t296 () (or @t140 @t295 @t294 @t293 @t292 @t291)) % 33.94/34.18 (define @t297 () (@list @t5 @t289 @t288)) % 33.94/34.18 (define @t298 () (forall @t297 @t296)) % 33.94/34.18 (define @t299 () (or @t293 @t292 @t291)) % 33.94/34.18 (define @t300 () (or @t140 @t295 @t294 @t299)) % 33.94/34.18 (define @t301 () (forall @t297 @t300)) % 33.94/34.18 (define @t302 () (@list @t289 @t288)) % 33.94/34.18 (define @t303 () (forall @t302 @t300)) % 33.94/34.18 (define @t304 () (forall @t302 @t299)) % 33.94/34.18 (define @t305 () (or @t140 @t295 @t294 @t304)) % 33.94/34.18 (define @t306 () (not @t78)) % 33.94/34.18 (define @t307 () (not @t80)) % 33.94/34.18 (define @t308 () (or @t307 @t306 @t77)) % 33.94/34.18 (define @t309 () (forall @t76 @t308)) % 33.94/34.18 (define @t310 () (or @t140 @t295 @t294 @t309)) % 33.94/34.18 (define @t311 () (or @t295 @t294 @t309)) % 33.94/34.18 (define @t312 () (or @t295 @t294 @t308)) % 33.94/34.18 (define @t313 () (or @t295 @t294 @t307 @t306 @t77)) % 33.94/34.18 (define @t314 () (or @t295 @t294 @t307 @t306)) % 33.94/34.18 (define @t315 () (not @t169)) % 33.94/34.18 (define @t316 () (or @t183 @t178 @t175 @t173 @t177 @t315 @t168)) % 33.94/34.18 (define @t317 () (@list true false)) % 33.94/34.18 (define @t318 () (not @t180)) % 33.94/34.18 (define @t319 () (and @t180 @t315)) % 33.94/34.18 (define @t320 () (= @t166 @t319)) % 33.94/34.18 (define @t321 () (@list @t132)) % 33.94/34.18 (define @t322 () (tptp.r2_hidden @t132 @t127)) % 33.94/34.18 (define @t323 () (or @t179 @t168)) % 33.94/34.18 (define @t324 () (= @t322 @t323)) % 33.94/34.18 (define @t325 () (not @t179)) % 33.94/34.18 (define @t326 () (not @t168)) % 33.94/34.18 (define @t327 () (and @t168 @t325)) % 33.94/34.18 (define @t328 () (forall @t21 (= (tptp.r2_hidden @t3 @t164) (and @t116 (not @t119))))) % 33.94/34.18 (define @t329 () (= (= @t164 @t164) @t328)) % 33.94/34.18 (define @t330 () (= @t165 @t327)) % 33.94/34.18 (assume @p1 @t27) % 33.94/34.18 (assume @p2 (forall @t31 (=> @t30 (=> (tptp.v1_orders_2 @t6) (= @t6 (tptp.g1_orders_2 @t29 @t28)))))) % 33.94/34.18 (assume @p3 (forall @t33 (=> @t32 (not (tptp.r2_hidden @t5 @t6))))) % 33.94/34.18 (assume @p4 (forall @t25 (=> @t34 (tptp.v1_relat_1 @t1)))) % 33.94/34.18 (assume @p5 (forall @t33 (= @t36 @t35))) % 33.94/34.18 (assume @p6 (forall @t33 (= (tptp.k3_xboole_0 @t6 @t5) (tptp.k3_xboole_0 @t5 @t6)))) % 33.94/34.18 (assume @p7 @t52) % 33.94/34.18 (assume @p8 @t56) % 33.94/34.18 (assume @p9 @t57) % 33.94/34.18 (assume @p10 (forall @t33 (=> @t59 (and (tptp.v1_orders_2 @t58) (tptp.l1_orders_2 @t58))))) % 33.94/34.18 (assume @p11 @t62) % 33.94/34.18 (assume @p12 true) % 33.94/34.18 (assume @p13 (forall @t33 (=> (and (tptp.v1_relat_1 @t6) (tptp.v1_relat_1 @t5)) (tptp.v1_relat_1 (tptp.k5_relat_1 @t6 @t5))))) % 33.94/34.18 (assume @p14 (forall @t67 (=> @t66 (tptp.m2_relset_1 @t65 @t6 @t3)))) % 33.94/34.18 (assume @p15 (forall @t31 (=> @t30 @t68))) % 33.94/34.18 (assume @p16 @t70) % 33.94/34.18 (assume @p17 @t72) % 33.94/34.18 (assume @p18 (exists @t31 @t30)) % 33.94/34.18 (assume @p19 (exists @t31 @t68)) % 33.94/34.18 (assume @p20 (forall @t33 (exists @t45 @t73))) % 33.94/34.18 (assume @p21 (forall @t31 (exists @t49 (tptp.m1_subset_1 @t5 @t6)))) % 33.94/34.18 (assume @p22 (forall @t33 (exists @t45 @t69))) % 33.94/34.18 (assume @p23 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 33.94/34.18 (assume @p24 (forall @t33 (=> @t75 (not (tptp.v1_xboole_0 @t36))))) % 33.94/34.18 (assume @p25 (forall @t33 (=> @t75 (not (tptp.v1_xboole_0 @t35))))) % 33.94/34.18 (assume @p26 (forall @t33 (=> @t59 (forall @t76 (=> (= @t58 (tptp.g1_orders_2 @t1 @t3)) (and (= @t6 @t1) (= @t5 @t3))))))) % 33.94/34.18 (assume @p27 (forall @t33 (= (tptp.k2_xboole_0 @t6 @t6) @t6))) % 33.94/34.18 (assume @p28 (forall @t33 (= (tptp.k3_xboole_0 @t6 @t6) @t6))) % 33.94/34.18 (assume @p29 (exists @t31 @t74)) % 33.94/34.18 (assume @p30 (exists @t31 @t75)) % 33.94/34.18 (assume @p31 (forall @t67 (=> @t66 (= @t65 (tptp.k5_relat_1 @t64 @t63))))) % 33.94/34.18 (assume @p32 (forall @t25 (= @t69 @t73))) % 33.94/34.18 (assume @p33 (forall @t33 (tptp.r1_tarski @t6 @t6))) % 33.94/34.18 (assume @p34 (forall (@list @t6 @t5 @t1 @t3) (= (tptp.r2_hidden @t17 (tptp.k2_zfmisc_1 @t1 @t3)) (and (tptp.r2_hidden @t6 @t1) (tptp.r2_hidden @t5 @t3))))) % 33.94/34.18 (assume @p35 @t90) % 33.94/34.18 (assume @p36 (forall @t31 (= (tptp.k2_xboole_0 @t6 tptp.k1_xboole_0) @t6))) % 33.94/34.18 (assume @p37 (forall @t33 (=> @t32 @t91))) % 33.94/34.18 (assume @p38 (forall @t31 (= (tptp.k3_xboole_0 @t6 tptp.k1_xboole_0) tptp.k1_xboole_0))) % 33.94/34.18 (assume @p39 @t94) % 33.94/34.18 (assume @p40 (forall @t31 (= (tptp.k4_xboole_0 @t6 tptp.k1_xboole_0) @t6))) % 33.94/34.18 (assume @p41 (forall @t33 (= (tptp.m1_subset_1 @t6 (tptp.k1_zfmisc_1 @t5)) (tptp.r1_tarski @t6 @t5)))) % 33.94/34.18 (assume @p42 (forall @t31 (= (tptp.k4_xboole_0 tptp.k1_xboole_0 @t6) tptp.k1_xboole_0))) % 33.94/34.18 (assume @p43 @t98) % 33.94/34.18 (assume @p44 @t100) % 33.94/34.18 (assume @p45 (forall @t31 (=> @t74 (= @t6 tptp.k1_xboole_0)))) % 33.94/34.18 (assume @p46 (forall @t33 (not (and @t32 @t92)))) % 33.94/34.18 (assume @p47 (forall @t33 (not (and @t74 (not (= @t6 @t5)) @t92)))) % 33.94/34.18 (step @p48 :rule bool-eq-true :args (@t121)) % 33.94/34.18 (step @p49 :rule eq-symm :args (true @t121)) % 33.94/34.18 (step @p50 :rule trans :premises (@p49 @p48)) % 33.94/34.18 (step @p51 :rule refl :args (@t121)) % 33.94/34.18 (step @p52 :rule eq-refl :args (@t120)) % 33.94/34.18 (step @p53 :rule cong :premises (@p52 @p51) :args (@t122)) % 33.94/34.18 (step @p54 :rule trans :premises (@p53 @p50)) % 33.94/34.18 (step @p55 :rule refl :args (@t57)) % 33.94/34.18 (step @p56 :rule cong :premises (@p55 @p54) :args ((=> @t57 @t122))) % 33.94/34.18 (assume-push @p484 @t57) % 33.94/34.18 (step @p58 :rule instantiate :premises (@p9) :args ((@list @t118 @t115 @t120))) % 33.94/34.18 (step-pop @p485 :rule scope :premises (@p58)) % 33.94/34.18 (step @p59 :rule process_scope :premises (@p485) :args (@t122)) % 33.94/34.18 (step @p61 :rule eq_resolve :premises (@p59 @p56)) % 33.94/34.18 (step @p62 :rule implies_elim :premises (@p61)) % 33.94/34.18 (step @p63 :rule chain_m_resolution :premises (@p62 @p9) :args (@t121 @t123 @t124)) % 33.94/34.18 (step @p64 :rule instantiate :premises (@p63) :args (@t126)) % 33.94/34.18 (step @p65 :rule bool-eq-true :args (@t128)) % 33.94/34.18 (step @p66 :rule eq-symm :args (true @t128)) % 33.94/34.18 (step @p67 :rule trans :premises (@p66 @p65)) % 33.94/34.18 (step @p68 :rule refl :args (@t128)) % 33.94/34.18 (step @p69 :rule eq-refl :args (@t127)) % 33.94/34.18 (step @p70 :rule cong :premises (@p69 @p68) :args (@t129)) % 33.94/34.18 (step @p71 :rule trans :premises (@p70 @p67)) % 33.94/34.18 (step @p72 :rule refl :args (@t56)) % 33.94/34.18 (step @p73 :rule cong :premises (@p72 @p71) :args ((=> @t56 @t129))) % 33.94/34.18 (assume-push @p486 @t56) % 33.94/34.18 (step @p75 :rule instantiate :premises (@p8) :args ((@list @t118 @t115 @t127))) % 33.94/34.18 (step-pop @p487 :rule scope :premises (@p75)) % 33.94/34.18 (step @p76 :rule process_scope :premises (@p487) :args (@t129)) % 33.94/34.18 (step @p78 :rule eq_resolve :premises (@p76 @p73)) % 33.94/34.18 (step @p79 :rule implies_elim :premises (@p78)) % 33.94/34.18 (step @p80 :rule chain_m_resolution :premises (@p79 @p8) :args (@t128 @t123 (@list @t56))) % 33.94/34.18 (step @p81 :rule instantiate :premises (@p80) :args (@t126)) % 33.94/34.18 (step @p82 :rule instantiate :premises (@p34) :args ((@list @t125 @t132 @t131 @t131))) % 33.94/34.18 (step @p83 :rule aci_norm :args ((= (or @t133 @t93) (or @t133 @t92 @t32)))) % 33.94/34.18 (step @p84 :rule bool-impl-elim :args (@t91 @t93)) % 33.94/34.18 (step @p85 :rule trans :premises (@p84 @p83)) % 33.94/34.18 (step @p86 :rule cong :premises (@p85) :args (@t94)) % 33.94/34.18 (step @p87 :rule eq_resolve :premises (@p39 @p86)) % 33.94/34.18 (step @p88 :rule instantiate :premises (@p87) :args ((@list @t135 @t134))) % 33.94/34.18 (step @p89 :rule aci_norm :args ((= (or (or @t137 @t136) @t95) (or @t137 @t136 @t95)))) % 33.94/34.18 (step @p90 :rule refl :args (@t95)) % 33.94/34.18 (step @p91 :rule bool-and-de-morgan :args (@t32 @t96 true)) % 33.94/34.18 (step @p92 :rule nary_cong :premises (@p91 @p90) :args ((or (not @t97) @t95))) % 33.94/34.18 (step @p93 :rule trans :premises (@p92 @p89)) % 33.94/34.18 (step @p94 :rule bool-impl-elim :args (@t97 @t95)) % 33.94/34.18 (step @p95 :rule trans :premises (@p94 @p93)) % 33.94/34.18 (step @p96 :rule cong :premises (@p95) :args (@t98)) % 33.94/34.18 (step @p97 :rule eq_resolve :premises (@p43 @p96)) % 33.94/34.18 (step @p98 :rule instantiate :premises (@p97) :args (@t139)) % 33.94/34.18 (step @p99 :rule bool-impl-elim :args (@t69 @t34)) % 33.94/34.18 (step @p100 :rule cong :premises (@p99) :args (@t70)) % 33.94/34.18 (step @p101 :rule eq_resolve :premises (@p16 @p100)) % 33.94/34.18 (step @p102 :rule instantiate :premises (@p101) :args ((@list @t131 @t131 @t138))) % 33.94/34.18 (step @p103 :rule bool-impl-elim :args (@t30 @t71)) % 33.94/34.18 (step @p104 :rule cong :premises (@p103) :args (@t72)) % 33.94/34.18 (step @p105 :rule eq_resolve :premises (@p17 @p104)) % 33.94/34.18 (step @p106 :rule instantiate :premises (@p105) :args ((@list @t130))) % 33.94/34.18 (step @p107 :rule aci_norm :args ((= (or (or @t141 @t140) @t60) (or @t141 @t140 @t60)))) % 33.94/34.18 (step @p108 :rule refl :args (@t60)) % 33.94/34.18 (step @p109 :rule bool-and-de-morgan :args (@t30 @t47 true)) % 33.94/34.18 (step @p110 :rule nary_cong :premises (@p109 @p108) :args ((or (not @t61) @t60))) % 33.94/34.18 (step @p111 :rule trans :premises (@p110 @p107)) % 33.94/34.18 (step @p112 :rule bool-impl-elim :args (@t61 @t60)) % 33.94/34.18 (step @p113 :rule trans :premises (@p112 @p111)) % 33.94/34.18 (step @p114 :rule cong :premises (@p113) :args (@t62)) % 33.94/34.18 (step @p115 :rule eq_resolve :premises (@p11 @p114)) % 33.94/34.18 (step @p116 :rule instantiate :premises (@p115) :args ((@list @t117 @t114))) % 33.94/34.18 (step @p117 :rule aci_norm :args ((= @t143 @t111))) % 33.94/34.18 (step @p118 :rule cong 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(step @p158 :rule bool-and-de-morgan :args (@t16 @t15 (and @t12 @t10 @t8))) % 33.94/34.18 (step @p159 :rule trans :premises (@p158 @p157)) % 33.94/34.18 (step @p160 :rule nary_cong :premises (@p145 @p159) :args ((or @t151 (not (and @t16 @t15 @t12 @t10 @t8))))) % 33.94/34.18 (step @p161 :rule bool-and-de-morgan :args (@t18 @t16 (and @t15 @t12 @t10 @t8))) % 33.94/34.18 (step @p162 :rule trans :premises (@p161 @p160)) % 33.94/34.18 (step @p163 :rule trans :premises (@p162 @p148)) % 33.94/34.18 (step @p164 :rule refl :args (@t152)) % 33.94/34.18 (step @p165 :rule nary_cong :premises (@p164 @p163) :args ((or @t152 @t19))) % 33.94/34.18 (step @p166 :rule trans :premises (@p165 @p139)) % 33.94/34.18 (step @p167 :rule bool-impl-elim :args (@t20 @t19)) % 33.94/34.18 (step @p168 :rule trans :premises (@p167 @p166)) % 33.94/34.18 (step @p169 :rule cong :premises (@p168) :args (@t22)) % 33.94/34.18 (step @p170 :rule trans :premises (@p169 @p138)) % 33.94/34.18 (step @p171 :rule refl :args (@t23)) 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(@t252 (@list @t236) (@list @t1))) % 33.94/34.18 (step @p275 :rule refl :args (@t140)) % 33.94/34.18 (step @p276 :rule nary_cong :premises (@p275 @p274) :args (@t253)) % 33.94/34.18 (step @p277 :rule quant-miniscope-or :args ((= @t251 @t253))) % 33.94/34.18 (step @p278 :rule trans :premises (@p277 @p276)) % 33.94/34.18 (step @p279 :rule symm :premises (@p278)) % 33.94/34.18 (step @p280 :rule cong :premises (@p279) :args ((forall @t49 (or @t140 @t256)))) % 33.94/34.18 (step @p281 :rule trans :premises (@p280 @p273)) % 33.94/34.18 (step @p282 :rule trans :premises (@p281 @p272)) % 33.94/34.18 (step @p283 :rule bool-impl-elim :args (@t47 @t256)) % 33.94/34.18 (step @p284 :rule cong :premises (@p283) :args ((forall @t49 (=> @t47 @t256)))) % 33.94/34.18 (step @p285 :rule trans :premises (@p284 @p282)) % 33.94/34.18 (step @p286 :rule aci_norm :args ((= (or (or @t254 @t110) @t42) @t255))) % 33.94/34.18 (step @p287 :rule refl :args (@t42)) % 33.94/34.18 (step @p288 :rule bool-and-de-morgan 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bool-eq-true :args (@t261)) % 33.94/34.18 (step @p304 :rule eq-refl :args (@t130)) % 33.94/34.18 (step @p305 :rule eq-symm :args (@t259 @t138)) % 33.94/34.18 (step @p306 :rule eq-symm :args (@t127 @t131)) % 33.94/34.18 (step @p307 :rule nary_cong :premises (@p306 @p305) :args (@t262)) % 33.94/34.18 (step @p308 :rule cong :premises (@p307 @p304) :args (@t263)) % 33.94/34.18 (step @p309 :rule trans :premises (@p308 @p303)) % 33.94/34.18 (step @p310 :rule refl :args (@t195)) % 33.94/34.18 (step @p311 :rule refl :args (@t264)) % 33.94/34.18 (step @p312 :rule refl :args (@t178)) % 33.94/34.18 (step @p313 :rule refl :args (@t183)) % 33.94/34.18 (step @p314 :rule nary_cong :premises (@p313 @p312 @p311 @p310 @p309) :args (@t265)) % 33.94/34.18 (step @p315 :rule refl :args (@t266)) % 33.94/34.18 (step @p316 :rule cong :premises (@p315 @p314) :args ((=> @t266 @t265))) % 33.94/34.18 (assume-push @p488 @t266) % 33.94/34.18 (step @p318 :rule instantiate :premises (@p302) :args ((@list @t117 @t114 @t130))) % 33.94/34.18 (step-pop @p489 :rule scope :premises (@p318)) % 33.94/34.18 (step @p319 :rule process_scope :premises (@p489) :args (@t265)) % 33.94/34.18 (step @p321 :rule eq_resolve :premises (@p319 @p316)) % 33.94/34.18 (step @p322 :rule implies_elim :premises (@p321)) % 33.94/34.18 (step @p323 :rule chain_m_resolution :premises (@p322 @p302) :args (@t267 @t123 (@list @t266))) % 33.94/34.18 (step @p324 :rule cnf_and_pos :args (@t189 0)) % 33.94/34.18 (step @p325 :rule reordering :premises (@p324) :args ((or @t188 @t192))) % 33.94/34.18 (step @p326 :rule chain_m_resolution :premises (@p325 @p193) :args (@t188 @t123 @t193)) % 33.94/34.18 (step @p327 :rule cnf_or_pos :args (@t267)) % 33.94/34.18 (step @p328 :rule reordering :premises (@p327) :args ((or @t183 @t178 @t195 @t264 @t261 (not @t267)))) % 33.94/34.18 (step @p329 :rule chain_m_resolution :premises (@p328 @p190 @p184 @p196 @p326 @p323) :args (@t261 (@list false false false false false) (@list @t182 @t163 @t187 @t188 @t267))) % 33.94/34.18 (step @p330 :rule cnf_and_pos :args (@t261 0)) % 33.94/34.18 (step @p331 :rule reordering :premises (@p330) :args ((or @t260 (not @t261)))) % 33.94/34.18 (step @p332 :rule chain_m_resolution :premises (@p331 @p329) :args (@t260 @t123 (@list @t261))) % 33.94/34.18 (step @p333 :rule symm :premises (@p332)) % 33.94/34.18 (step @p334 :rule refl :args (@t125)) % 33.94/34.18 (step @p335 :rule cong :premises (@p334 @p333) :args (@t268)) % 33.94/34.18 (step @p336 :rule trans :premises (@p335 @p234)) % 33.94/34.18 (step @p337 :rule true_elim :premises (@p336)) % 33.94/34.18 (step @p338 :rule cnf_equiv_pos1 :args (@t270)) % 33.94/34.18 (step @p339 :rule reordering :premises (@p338) :args ((or @t269 (not @t268) (not @t270)))) % 33.94/34.18 (step @p340 :rule chain_m_resolution :premises (@p339 @p337 @p81) :args (@t269 @t197 (@list @t268 @t270))) % 33.94/34.18 (step @p341 :rule cnf_or_neg :args (@t184 6)) % 33.94/34.18 (step @p342 :rule chain_m_resolution :premises (@p341 @p177) :args ((not @t170) @t185 @t186)) % 33.94/34.18 (step @p343 :rule cnf_and_neg :args (@t170)) % 33.94/34.18 (step @p344 :rule bool-double-not-elim :args (@t174)) % 33.94/34.18 (step @p345 :rule nary_cong :premises (@p179 @p344) :args ((or @t184 (not @t175)))) % 33.94/34.18 (step @p346 :rule cnf_or_neg :args (@t184 4)) % 33.94/34.18 (step @p347 :rule eq_resolve :premises (@p346 @p345)) % 33.94/34.18 (step @p348 :rule reordering :premises (@p347) :args ((or @t174 @t184))) % 33.94/34.18 (step @p349 :rule chain_m_resolution :premises (@p348 @p177) :args (@t174 @t185 @t186)) % 33.94/34.18 (step @p350 :rule bool-double-not-elim :args (@t172)) % 33.94/34.18 (step @p351 :rule nary_cong :premises (@p179 @p350) :args ((or @t184 (not @t173)))) % 33.94/34.18 (step @p352 :rule cnf_or_neg :args (@t184 5)) % 33.94/34.18 (step @p353 :rule eq_resolve :premises (@p352 @p351)) % 33.94/34.18 (step @p354 :rule reordering :premises (@p353) :args ((or @t172 @t184))) % 33.94/34.18 (step @p355 :rule chain_m_resolution :premises (@p354 @p177) :args (@t172 @t185 @t186)) % 33.94/34.18 (step @p356 :rule aci_norm :args ((= @t283 (or @t141 @t281 @t280 @t279 @t277 @t276 @t274)))) % 33.94/34.18 (step @p357 :rule cong :premises (@p356) :args (@t284)) % 33.94/34.18 (step @p358 :rule quant-merge-prenex :args ((= (forall @t31 @t286) @t284))) % 33.94/34.18 (step @p359 :rule alpha_equiv :args (@t287 (@list @t271 @t275 @t273) (@list @t5 @t289 @t288))) % 33.94/34.18 (step @p360 :rule nary_cong :premises (@p250 @p359) :args (@t290)) % 33.94/34.18 (step @p361 :rule quant-miniscope-or :args ((= @t286 @t290))) % 33.94/34.18 (step @p362 :rule trans :premises (@p361 @p360)) % 33.94/34.18 (step @p363 :rule symm :premises (@p362)) % 33.94/34.18 (step @p364 :rule cong :premises (@p363) :args ((forall @t31 (or @t141 @t298)))) % 33.94/34.18 (step @p365 :rule trans :premises (@p364 @p358)) % 33.94/34.18 (step @p366 :rule trans :premises (@p365 @p357)) % 33.94/34.18 (step @p367 :rule bool-impl-elim :args (@t30 @t298)) % 33.94/34.18 (step @p368 :rule cong :premises (@p367) :args ((forall @t31 (=> @t30 @t298)))) % 33.94/34.18 (step @p369 :rule trans :premises (@p368 @p366)) % 33.94/34.18 (step @p370 :rule aci_norm :args ((= @t300 @t296))) % 33.94/34.18 (step @p371 :rule cong :premises (@p370) :args (@t301)) % 33.94/34.18 (step @p372 :rule quant-merge-prenex :args ((= (forall @t49 @t303) @t301))) % 33.94/34.18 (step @p373 :rule alpha_equiv :args (@t304 (@list @t289 @t288) (@list @t1 @t3))) % 33.94/34.18 (step @p374 :rule refl :args (@t294)) % 33.94/34.18 (step @p375 :rule refl :args (@t295)) % 33.94/34.18 (step @p376 :rule nary_cong :premises (@p275 @p375 @p374 @p373) :args (@t305)) % 33.94/34.18 (step @p377 :rule quant-miniscope-or :args ((= @t303 @t305))) % 33.94/34.18 (step @p378 :rule trans :premises (@p377 @p376)) % 33.94/34.18 (step @p379 :rule symm :premises (@p378)) % 33.94/34.18 (step @p380 :rule cong :premises (@p379) :args ((forall @t49 @t310))) % 33.94/34.18 (step @p381 :rule trans :premises (@p380 @p372)) % 33.94/34.18 (step @p382 :rule trans :premises (@p381 @p371)) % 33.94/34.18 (step @p383 :rule aci_norm :args ((= (or @t140 @t311) @t310))) % 33.94/34.18 (step @p384 :rule bool-impl-elim :args (@t47 @t311)) % 33.94/34.18 (step @p385 :rule trans :premises (@p384 @p383)) % 33.94/34.18 (step @p386 :rule cong :premises (@p385) :args ((forall @t49 (=> @t47 @t311)))) % 33.94/34.18 (step @p387 :rule trans :premises (@p386 @p382)) % 33.94/34.18 (step @p388 :rule quant-miniscope-or :args ((= (forall @t76 @t312) @t311))) % 33.94/34.18 (step @p389 :rule aci_norm :args ((= @t313 @t312))) % 33.94/34.18 (step @p390 :rule cong :premises (@p389) :args ((forall @t76 @t313))) % 33.94/34.18 (step @p391 :rule trans :premises (@p390 @p388)) % 33.94/34.18 (step @p392 :rule aci_norm :args ((= (or @t314 @t77) @t313))) % 33.94/34.18 (step @p393 :rule refl :args (@t77)) % 33.94/34.18 (step @p394 :rule aci_norm :args ((= (or @t295 (or @t294 (or @t307 @t306))) @t314))) % 33.94/34.18 (step @p395 :rule bool-and-de-morgan :args (@t80 @t78 true)) % 33.94/34.18 (step @p396 :rule nary_cong :premises (@p374 @p395) :args ((or @t294 (not (and @t80 @t78))))) % 33.94/34.18 (step @p397 :rule bool-and-de-morgan :args (@t83 @t80 (and @t78))) % 33.94/34.18 (step @p398 :rule trans :premises (@p397 @p396)) % 33.94/34.18 (step @p399 :rule nary_cong :premises (@p375 @p398) :args ((or @t295 (not (and @t83 @t80 @t78))))) % 33.94/34.18 (step @p400 :rule bool-and-de-morgan :args (@t84 @t83 (and @t80 @t78))) % 33.94/34.18 (step @p401 :rule trans :premises (@p400 @p399)) % 33.94/34.18 (step @p402 :rule trans :premises (@p401 @p394)) % 33.94/34.18 (step @p403 :rule nary_cong :premises (@p402 @p393) :args ((or (not @t85) @t77))) % 33.94/34.18 (step @p404 :rule trans :premises (@p403 @p392)) % 33.94/34.18 (step @p405 :rule bool-impl-elim :args (@t85 @t77)) % 33.94/34.18 (step @p406 :rule trans :premises (@p405 @p404)) % 33.94/34.18 (step @p407 :rule cong :premises (@p406) :args (@t86)) % 33.94/34.18 (step @p408 :rule trans :premises (@p407 @p391)) % 33.94/34.18 (step @p409 :rule cong :premises (@p294 @p408) :args (@t87)) % 33.94/34.18 (step @p410 :rule cong :premises (@p409) :args (@t88)) % 33.94/34.18 (step @p411 :rule trans :premises (@p410 @p387)) % 33.94/34.18 (step @p412 :rule cong :premises (@p298 @p411) :args (@t89)) % 33.94/34.18 (step @p413 :rule cong :premises (@p412) :args (@t90)) % 33.94/34.18 (step @p414 :rule trans :premises (@p413 @p369)) % 33.94/34.18 (step @p415 :rule eq_resolve :premises (@p35 @p414)) % 33.94/34.18 (step @p416 :rule instantiate :premises (@p415) :args ((@list @t117 @t114 @t125 @t132))) % 33.94/34.18 (step @p417 :rule cnf_or_pos :args (@t316)) % 33.94/34.18 (step @p418 :rule reordering :premises (@p417) :args ((or @t183 @t178 @t177 @t175 @t173 @t168 @t315 (not @t316)))) % 33.94/34.18 (step @p419 :rule chain_m_resolution :premises (@p418 @p416 @p355 @p349 @p208 @p184 @p190 @p343 @p342) :args (@t315 (@list false false false false false false true true) (@list @t316 @t172 @t174 @t176 @t163 @t182 @t168 @t170))) % 33.94/34.18 (step @p420 :rule cnf_or_pos :args (@t269)) % 33.94/34.18 (step @p421 :rule reordering :premises (@p420) :args ((or @t180 @t169 (not @t269)))) % 33.94/34.18 (step @p422 :rule chain_m_resolution :premises (@p421 @p419 @p340) :args (@t180 @t317 (@list @t169 @t269))) % 33.94/34.18 (step @p423 :rule bool-double-not-elim :args (@t169)) % 33.94/34.18 (step @p424 :rule refl :args (@t318)) % 33.94/34.18 (step @p425 :rule refl :args (@t319)) % 33.94/34.18 (step @p426 :rule nary_cong :premises (@p425 @p424 @p423) :args ((or @t319 @t318 (not @t315)))) % 33.94/34.18 (step @p427 :rule cnf_and_neg :args (@t319)) % 33.94/34.18 (step @p428 :rule eq_resolve :premises (@p427 @p426)) % 33.94/34.18 (step @p429 :rule reordering :premises (@p428) :args ((or @t169 @t318 @t319))) % 33.94/34.18 (step @p430 :rule chain_m_resolution :premises (@p429 @p419 @p422) :args (@t319 @t317 (@list @t169 @t180))) % 33.94/34.18 (step @p431 :rule cnf_equiv_pos2 :args (@t320)) % 33.94/34.18 (step @p432 :rule reordering :premises (@p431) :args ((or @t166 (not @t319) (not @t320)))) % 33.94/34.18 (step @p433 :rule chain_m_resolution :premises (@p432 @p430 @p64) :args (@t166 @t197 (@list @t319 @t320))) % 33.94/34.18 (step @p434 :rule cnf_or_neg :args (@t184 7)) % 33.94/34.18 (step @p435 :rule chain_m_resolution :premises (@p434 @p177) :args ((not @t167) @t185 @t186)) % 33.94/34.18 (step @p436 :rule cnf_and_neg :args (@t167)) % 33.94/34.18 (step @p437 :rule chain_m_resolution :premises (@p436 @p435 @p433) :args ((not @t165) @t317 (@list @t167 @t166))) % 33.94/34.18 (step @p438 :rule instantiate :premises (@p80) :args (@t321)) % 33.94/34.18 (step @p439 :rule cnf_and_pos :args (@t213 1)) % 33.94/34.18 (step @p440 :rule reordering :premises (@p439) :args ((or @t211 @t215))) % 33.94/34.18 (step @p441 :rule chain_m_resolution :premises (@p440 @p230) :args (@t211 @t123 @t216)) % 33.94/34.18 (step @p442 :rule true_intro :premises (@p441)) % 33.94/34.18 (step @p443 :rule refl :args (@t132)) % 33.94/34.18 (step @p444 :rule cong :premises (@p443 @p333) :args (@t322)) % 33.94/34.18 (step @p445 :rule trans :premises (@p444 @p442)) % 33.94/34.18 (step @p446 :rule true_elim :premises (@p445)) % 33.94/34.18 (step @p447 :rule cnf_equiv_pos1 :args (@t324)) % 33.94/34.18 (step @p448 :rule reordering :premises (@p447) :args ((or @t323 (not @t322) (not @t324)))) % 33.94/34.18 (step @p449 :rule chain_m_resolution :premises (@p448 @p446 @p438) :args (@t323 @t197 (@list @t322 @t324))) % 33.94/34.18 (step @p450 :rule cnf_or_neg :args (@t184 1)) % 33.94/34.18 (step @p451 :rule chain_m_resolution :premises (@p450 @p177) :args ((not @t181) @t185 @t186)) % 33.94/34.18 (step @p452 :rule cnf_and_neg :args (@t181)) % 33.94/34.18 (step @p453 :rule chain_m_resolution :premises (@p452 @p451 @p422) :args (@t325 @t317 (@list @t181 @t180))) % 33.94/34.18 (step @p454 :rule cnf_or_pos :args (@t323)) % 33.94/34.18 (step @p455 :rule reordering :premises (@p454) :args ((or @t179 @t168 (not @t323)))) % 33.94/34.18 (step @p456 :rule chain_m_resolution :premises (@p455 @p453 @p449) :args (@t168 @t317 (@list @t179 @t323))) % 33.94/34.18 (step @p457 :rule bool-double-not-elim :args (@t179)) % 33.94/34.18 (step @p458 :rule refl :args (@t326)) % 33.94/34.18 (step @p459 :rule refl :args (@t327)) % 33.94/34.18 (step @p460 :rule nary_cong :premises (@p459 @p458 @p457) :args ((or @t327 @t326 (not @t325)))) % 33.94/34.18 (step @p461 :rule cnf_and_neg :args (@t327)) % 33.94/34.18 (step @p462 :rule eq_resolve :premises (@p461 @p460)) % 33.94/34.18 (step @p463 :rule reordering :premises (@p462) :args ((or @t179 @t326 @t327))) % 33.94/34.18 (step @p464 :rule chain_m_resolution :premises (@p463 @p453 @p456) :args (@t327 @t317 (@list @t179 @t168))) % 33.94/34.18 (step @p465 :rule bool-eq-true :args (@t328)) % 33.94/34.18 (step @p466 :rule eq-symm :args (true @t328)) % 33.94/34.18 (step @p467 :rule trans :premises (@p466 @p465)) % 33.94/34.18 (step @p468 :rule refl :args (@t328)) % 33.94/34.18 (step @p469 :rule eq-refl :args (@t164)) % 33.94/34.18 (step @p470 :rule cong :premises (@p469 @p468) :args (@t329)) % 33.94/34.18 (step @p471 :rule trans :premises (@p470 @p467)) % 33.94/34.18 (step @p472 :rule cong :premises (@p55 @p471) :args ((=> @t57 @t329))) % 33.94/34.18 (assume-push @p490 @t57) % 33.94/34.18 (step @p474 :rule instantiate :premises (@p9) :args ((@list @t115 @t118 @t164))) % 33.94/34.18 (step-pop @p491 :rule scope :premises (@p474)) % 33.94/34.18 (step @p475 :rule process_scope :premises (@p491) :args (@t329)) % 33.94/34.18 (step @p477 :rule eq_resolve :premises (@p475 @p472)) % 33.94/34.18 (step @p478 :rule implies_elim :premises (@p477)) % 33.94/34.18 (step @p479 :rule chain_m_resolution :premises (@p478 @p9) :args (@t328 @t123 @t124)) % 33.94/34.18 (step @p480 :rule instantiate :premises (@p479) :args (@t321)) % 33.94/34.18 (step @p481 :rule cnf_equiv_pos2 :args (@t330)) % 33.94/34.18 (step @p482 :rule reordering :premises (@p481) :args ((or @t165 (not @t327) (not @t330)))) % 33.94/34.18 (step @p483 false :rule chain_m_resolution :premises (@p482 @p480 @p464 @p437) :args (false (@list false false true) (@list @t330 @t327 @t165))) % 33.94/34.18 ) % 33.94/34.18 % SZS output end Proof % 33.94/34.18 % cvc5 exiting %------------------------------------------------------------------------------