%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWB029+3 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n015.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 08:57:14 AM UTC 2026 % Result : Theorem 34.20s 34.41s % Output : Proof 34.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWB029+3 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n015.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 18:57:19 EDT 2026 % 0.18/0.35 % CPUTime : % 0.32/0.51 %----Proving TF0_NAR, FOF, or CNF % 34.20/34.41 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.20/34.41 --- Run --no-e-matching --full-saturate-quant at 6... % 34.20/34.41 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.20/34.41 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.20/34.41 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.20/34.41 % SZS status Theorem % 34.20/34.41 % SZS output start Proof % 34.20/34.41 ( % 34.20/34.41 (declare-sort $$unsorted 0) % 34.20/34.41 (declare-const tptp.uri_owl_Class $$unsorted) % 34.20/34.41 (declare-const tptp.uri_ex_A $$unsorted) % 34.20/34.41 (declare-const tptp.uri_ex_w $$unsorted) % 34.20/34.41 (declare-const tptp.uri_owl_Ontology $$unsorted) % 34.20/34.41 (declare-const tptp.ix (-> $$unsorted Bool)) % 34.20/34.41 (declare-const tptp.uri_rdfs_isDefinedBy $$unsorted) % 34.20/34.41 (declare-const tptp.uri_rdfs_Resource $$unsorted) % 34.20/34.41 (declare-const tptp.uri_owl_DatatypeProperty $$unsorted) % 34.20/34.41 (declare-const tptp.uri_rdf_rest $$unsorted) % 34.20/34.41 (declare-const tptp.uri_owl_AnnotationProperty $$unsorted) % 34.20/34.41 (declare-const tptp.ioap (-> $$unsorted Bool)) % 34.20/34.41 (declare-const tptp.uri_rdfs_Datatype $$unsorted) % 34.20/34.41 (declare-const tptp.uri_rdf_Alt $$unsorted) % 34.20/34.41 (declare-const tptp.uri_owl_OntologyProperty $$unsorted) % 34.20/34.41 (declare-const tptp.uri_owl_onProperty $$unsorted) % 34.20/34.41 (declare-const tptp.idc (-> $$unsorted Bool)) % 34.20/34.41 (declare-const tptp.lv (-> $$unsorted Bool)) % 34.20/34.41 (declare-const tptp.ip (-> $$unsorted Bool)) % 34.20/34.41 (declare-const tptp.icext (-> $$unsorted $$unsorted Bool)) % 34.20/34.41 (declare-const tptp.uri_rdf__2 $$unsorted) % 34.20/34.41 (declare-const tptp.uri_owl_unionOf $$unsorted) % 34.20/34.41 (declare-const tptp.ic (-> $$unsorted Bool)) % 34.20/34.41 (declare-const tptp.uri_rdf__1 $$unsorted) % 34.20/34.41 (declare-const tptp.uri_owl_intersectionOf $$unsorted) % 34.20/34.41 (declare-const tptp.uri_rdfs_Statement $$unsorted) % 34.20/34.41 (declare-const tptp.uri_owl_Thing $$unsorted) % 34.20/34.41 (declare-const tptp.ioxp (-> $$unsorted Bool)) % 34.20/34.41 (declare-const tptp.uri_owl_complementOf $$unsorted) % 34.20/34.41 (declare-const tptp.uri_rdf_Property $$unsorted) % 34.20/34.41 (declare-const tptp.iext (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.20/34.41 (declare-const tptp.ir (-> $$unsorted Bool)) % 34.20/34.41 (declare-const tptp.uri_rdf_predicate $$unsorted) % 34.20/34.41 (declare-const tptp.uri_rdf_first $$unsorted) % 34.20/34.41 (declare-const tptp.iodp (-> $$unsorted Bool)) % 34.20/34.41 (declare-const tptp.uri_owl_Nothing $$unsorted) % 34.20/34.41 (declare-const tptp.uri_rdf_object $$unsorted) % 34.20/34.41 (declare-const tptp.uri_rdfs_Seq $$unsorted) % 34.20/34.41 (declare-const tptp.uri_rdfs_Class $$unsorted) % 34.20/34.41 (declare-const tptp.uri_owl_Restriction $$unsorted) % 34.20/34.41 (declare-const tptp.uri_rdf__3 $$unsorted) % 34.20/34.41 (declare-const tptp.uri_owl_allValuesFrom $$unsorted) % 34.20/34.41 (declare-const tptp.uri_owl_hasValue $$unsorted) % 34.20/34.41 (declare-const tptp.uri_ex_B $$unsorted) % 34.20/34.41 (declare-const tptp.uri_rdf_List $$unsorted) % 34.20/34.41 (declare-const tptp.uri_rdfs_domain $$unsorted) % 34.20/34.41 (declare-const tptp.uri_owl_someValuesFrom $$unsorted) % 34.20/34.41 (declare-const tptp.uri_rdfs_ContainerMembershipProperty $$unsorted) % 34.20/34.41 (declare-const tptp.uri_rdfs_subClassOf $$unsorted) % 34.20/34.41 (declare-const tptp.uri_rdfs_Literal $$unsorted) % 34.20/34.41 (declare-const tptp.uri_rdf_value $$unsorted) % 34.20/34.41 (declare-const tptp.uri_rdfs_range $$unsorted) % 34.20/34.41 (declare-const tptp.uri_rdf_nil $$unsorted) % 34.20/34.41 (declare-const tptp.uri_rdf_XMLLiteral $$unsorted) % 34.20/34.41 (declare-const tptp.uri_rdfs_subPropertyOf $$unsorted) % 34.20/34.41 (declare-const tptp.uri_rdf_subject $$unsorted) % 34.20/34.41 (declare-const tptp.uri_rdfs_comment $$unsorted) % 34.20/34.41 (declare-const tptp.uri_rdfs_seeAlso $$unsorted) % 34.20/34.41 (declare-const tptp.uri_rdfs_label $$unsorted) % 34.20/34.41 (declare-const tptp.uri_rdfs_Container $$unsorted) % 34.20/34.41 (declare-const tptp.uri_rdf_type $$unsorted) % 34.20/34.41 (declare-const tptp.uri_rdf_Bag $$unsorted) % 34.20/34.41 (declare-const tptp.uri_rdfs_member $$unsorted) % 34.20/34.41 (define @t1 () (@var "X" $$unsorted)) % 34.20/34.41 (define @t2 () (@var "C" $$unsorted)) % 34.20/34.41 (define @t3 () (tptp.icext @t2 @t1)) % 34.20/34.41 (define @t4 () (@var "Z" $$unsorted)) % 34.20/34.41 (define @t5 () (tptp.icext @t4 @t1)) % 34.20/34.41 (define @t6 () (@list @t1)) % 34.20/34.41 (define @t7 () (tptp.ic @t2)) % 34.20/34.41 (define @t8 () (tptp.ic @t4)) % 34.20/34.41 (define @t9 () (and @t8 @t7 (forall @t6 (= @t5 (not @t3))))) % 34.20/34.41 (define @t10 () (tptp.iext tptp.uri_owl_complementOf @t4 @t2)) % 34.20/34.41 (define @t11 () (@list @t4 @t2)) % 34.20/34.41 (define @t12 () (forall @t11 (=> @t10 @t9))) % 34.20/34.41 (define @t13 () (tptp.ir @t1)) % 34.20/34.41 (define @t14 () (@list @t4)) % 34.20/34.41 (define @t15 () (@var "C1" $$unsorted)) % 34.20/34.41 (define @t16 () (tptp.icext @t15 @t1)) % 34.20/34.41 (define @t17 () (tptp.ic @t15)) % 34.20/34.41 (define @t18 () (and @t8 @t17 (forall @t6 (= @t5 @t16)))) % 34.20/34.41 (define @t19 () (@var "S1" $$unsorted)) % 34.20/34.41 (define @t20 () (tptp.iext tptp.uri_owl_intersectionOf @t4 @t19)) % 34.20/34.41 (define @t21 () (tptp.iext tptp.uri_rdf_first @t19 @t15)) % 34.20/34.41 (define @t22 () (and @t21 (tptp.iext tptp.uri_rdf_rest @t19 tptp.uri_rdf_nil))) % 34.20/34.41 (define @t23 () (@list @t4 @t19 @t15)) % 34.20/34.41 (define @t24 () (@var "C2" $$unsorted)) % 34.20/34.41 (define @t25 () (tptp.icext @t24 @t1)) % 34.20/34.41 (define @t26 () (tptp.ic @t24)) % 34.20/34.41 (define @t27 () (= @t20 (and @t8 @t17 @t26 (forall @t6 (= @t5 (and @t16 @t25)))))) % 34.20/34.41 (define @t28 () (@var "S2" $$unsorted)) % 34.20/34.41 (define @t29 () (tptp.iext tptp.uri_rdf_rest @t28 tptp.uri_rdf_nil)) % 34.20/34.41 (define @t30 () (tptp.iext tptp.uri_rdf_first @t28 @t24)) % 34.20/34.41 (define @t31 () (tptp.iext tptp.uri_rdf_rest @t19 @t28)) % 34.20/34.41 (define @t32 () (and @t21 @t31 @t30 @t29)) % 34.20/34.41 (define @t33 () (@list @t4 @t19 @t15 @t28 @t24)) % 34.20/34.41 (define @t34 () (forall @t33 (=> @t32 @t27))) % 34.20/34.41 (define @t35 () (@var "C3" $$unsorted)) % 34.20/34.41 (define @t36 () (tptp.icext @t35 @t1)) % 34.20/34.41 (define @t37 () (tptp.ic @t35)) % 34.20/34.41 (define @t38 () (@var "S3" $$unsorted)) % 34.20/34.41 (define @t39 () (and @t21 @t31 @t30 (tptp.iext tptp.uri_rdf_rest @t28 @t38) (tptp.iext tptp.uri_rdf_first @t38 @t35) (tptp.iext tptp.uri_rdf_rest @t38 tptp.uri_rdf_nil))) % 34.20/34.41 (define @t40 () (@list @t4 @t19 @t15 @t28 @t24 @t38 @t35)) % 34.20/34.41 (define @t41 () (tptp.iext tptp.uri_owl_unionOf @t4 @t19)) % 34.20/34.41 (define @t42 () (@var "Y" $$unsorted)) % 34.20/34.41 (define @t43 () (tptp.ir @t42)) % 34.20/34.41 (define @t44 () (tptp.icext @t1 @t42)) % 34.20/34.41 (define @t45 () (@list @t42)) % 34.20/34.41 (define @t46 () (tptp.ic @t1)) % 34.20/34.41 (define @t47 () (tptp.idc @t1)) % 34.20/34.41 (define @t48 () (tptp.iext @t1 @t42 @t4)) % 34.20/34.41 (define @t49 () (@list @t42 @t4)) % 34.20/34.41 (define @t50 () (forall @t49 (=> @t48 (and @t43 (tptp.ir @t4))))) % 34.20/34.41 (define @t51 () (tptp.ioap @t1)) % 34.20/34.41 (define @t52 () (tptp.ip @t1)) % 34.20/34.41 (define @t53 () (tptp.iodp @t1)) % 34.20/34.41 (define @t54 () (tptp.ioxp @t1)) % 34.20/34.41 (define @t55 () (tptp.ix @t1)) % 34.20/34.41 (define @t56 () (tptp.lv @t1)) % 34.20/34.41 (define @t57 () (tptp.ic @t42)) % 34.20/34.41 (define @t58 () (tptp.icext tptp.uri_owl_Restriction @t1)) % 34.20/34.41 (define @t59 () (and @t58 @t57)) % 34.20/34.41 (define @t60 () (@list @t1 @t42)) % 34.20/34.41 (define @t61 () (and @t46 (tptp.icext tptp.uri_rdf_List @t42))) % 34.20/34.41 (define @t62 () (@var "P" $$unsorted)) % 34.20/34.41 (define @t63 () (tptp.iext @t62 @t1 @t42)) % 34.20/34.41 (define @t64 () (tptp.ip @t62)) % 34.20/34.41 (define @t65 () (tptp.iext tptp.uri_rdfs_domain @t62 @t2)) % 34.20/34.41 (define @t66 () (@list @t62 @t2)) % 34.20/34.41 (define @t67 () (tptp.icext @t2 @t42)) % 34.20/34.41 (define @t68 () (=> @t63 @t67)) % 34.20/34.41 (define @t69 () (tptp.iext tptp.uri_rdfs_range @t62 @t2)) % 34.20/34.41 (define @t70 () (@var "P2" $$unsorted)) % 34.20/34.41 (define @t71 () (@var "P1" $$unsorted)) % 34.20/34.41 (define @t72 () (tptp.iext tptp.uri_owl_onProperty @t4 @t62)) % 34.20/34.41 (define @t73 () (@list @t4 @t62 @t2)) % 34.20/34.41 (define @t74 () (@var "A" $$unsorted)) % 34.20/34.41 (define @t75 () (@list @t62)) % 34.20/34.41 (define @t76 () (tptp.iext tptp.uri_rdf_type @t1 @t2)) % 34.20/34.41 (define @t77 () (@list @t1 @t2)) % 34.20/34.41 (define @t78 () (forall @t77 (= @t76 @t3))) % 34.20/34.41 (define @t79 () (@list @t2)) % 34.20/34.41 (define @t80 () (@var "D" $$unsorted)) % 34.20/34.41 (define @t81 () (@list @t62 @t2 @t1 @t42)) % 34.20/34.41 (define @t82 () (tptp.iext tptp.uri_rdfs_subClassOf @t2 @t80)) % 34.20/34.41 (define @t83 () (@var "E" $$unsorted)) % 34.20/34.41 (define @t84 () (@var "Q" $$unsorted)) % 34.20/34.41 (define @t85 () (tptp.iext tptp.uri_rdfs_subPropertyOf @t62 @t84)) % 34.20/34.41 (define @t86 () (@var "R" $$unsorted)) % 34.20/34.41 (define @t87 () (@var "O" $$unsorted)) % 34.20/34.41 (define @t88 () (@var "S" $$unsorted)) % 34.20/34.41 (define @t89 () (@var "BNODE_y" $$unsorted)) % 34.20/34.41 (define @t90 () (tptp.iext tptp.uri_owl_complementOf @t89 tptp.uri_ex_A)) % 34.20/34.41 (define @t91 () (@var "BNODE_l2" $$unsorted)) % 34.20/34.41 (define @t92 () (tptp.iext tptp.uri_rdf_rest @t91 tptp.uri_rdf_nil)) % 34.20/34.41 (define @t93 () (tptp.iext tptp.uri_rdf_first @t91 @t89)) % 34.20/34.41 (define @t94 () (@var "BNODE_l1" $$unsorted)) % 34.20/34.41 (define @t95 () (tptp.iext tptp.uri_rdf_rest @t94 @t91)) % 34.20/34.41 (define @t96 () (tptp.iext tptp.uri_rdf_first @t94 tptp.uri_ex_A)) % 34.20/34.41 (define @t97 () (@var "BNODE_x" $$unsorted)) % 34.20/34.41 (define @t98 () (tptp.iext tptp.uri_owl_intersectionOf @t97 @t94)) % 34.20/34.41 (define @t99 () (tptp.iext tptp.uri_rdf_type tptp.uri_ex_w @t97)) % 34.20/34.41 (define @t100 () (tptp.iext tptp.uri_rdf_type tptp.uri_ex_B tptp.uri_owl_Class)) % 34.20/34.41 (define @t101 () (tptp.iext tptp.uri_rdf_type tptp.uri_ex_A tptp.uri_owl_Class)) % 34.20/34.41 (define @t102 () (and @t101 @t100 @t99 @t98 @t96 @t95 @t93 @t92 @t90)) % 34.20/34.41 (define @t103 () (@list @t97 @t89 @t94 @t91)) % 34.20/34.41 (define @t104 () (exists @t103 @t102)) % 34.20/34.41 (define @t105 () (not @t90)) % 34.20/34.41 (define @t106 () (not @t92)) % 34.20/34.41 (define @t107 () (not @t93)) % 34.20/34.41 (define @t108 () (not @t95)) % 34.20/34.41 (define @t109 () (not @t96)) % 34.20/34.41 (define @t110 () (not @t98)) % 34.20/34.41 (define @t111 () (not @t99)) % 34.20/34.41 (define @t112 () (or @t111 @t110 @t109 @t108 @t107 @t106 @t105)) % 34.20/34.41 (define @t113 () (forall @t103 @t112)) % 34.20/34.41 (define @t114 () (not @t100)) % 34.20/34.41 (define @t115 () (not @t101)) % 34.20/34.41 (define @t116 () (or @t115 @t114 @t112)) % 34.20/34.41 (define @t117 () (or @t115 @t114 @t111 @t110 @t109 @t108 @t107 @t106 @t105)) % 34.20/34.41 (define @t118 () (forall @t103 (not @t102))) % 34.20/34.41 (define @t119 () (not @t118)) % 34.20/34.41 (define @t120 () (@quantifiers_skolemize @t113 1)) % 34.20/34.41 (define @t121 () (tptp.iext tptp.uri_owl_complementOf @t120 tptp.uri_ex_A)) % 34.20/34.41 (define @t122 () (not @t121)) % 34.20/34.41 (define @t123 () (@quantifiers_skolemize @t113 3)) % 34.20/34.41 (define @t124 () (tptp.iext tptp.uri_rdf_rest @t123 tptp.uri_rdf_nil)) % 34.20/34.41 (define @t125 () (not @t124)) % 34.20/34.41 (define @t126 () (tptp.iext tptp.uri_rdf_first @t123 @t120)) % 34.20/34.41 (define @t127 () (not @t126)) % 34.20/34.41 (define @t128 () (@quantifiers_skolemize @t113 2)) % 34.20/34.41 (define @t129 () (tptp.iext tptp.uri_rdf_rest @t128 @t123)) % 34.20/34.41 (define @t130 () (not @t129)) % 34.20/34.41 (define @t131 () (tptp.iext tptp.uri_rdf_first @t128 tptp.uri_ex_A)) % 34.20/34.41 (define @t132 () (not @t131)) % 34.20/34.41 (define @t133 () (@quantifiers_skolemize @t113 0)) % 34.20/34.41 (define @t134 () (tptp.iext tptp.uri_owl_intersectionOf @t133 @t128)) % 34.20/34.41 (define @t135 () (not @t134)) % 34.20/34.41 (define @t136 () (tptp.iext tptp.uri_rdf_type tptp.uri_ex_w @t133)) % 34.20/34.41 (define @t137 () (not @t136)) % 34.20/34.41 (define @t138 () (or @t137 @t135 @t132 @t130 @t127 @t125 @t122)) % 34.20/34.41 (define @t139 () (@list true)) % 34.20/34.41 (define @t140 () (@list @t138)) % 34.20/34.41 (define @t141 () (@var "BOUND_VARIABLE_7929" $$unsorted)) % 34.20/34.41 (define @t142 () (= (tptp.icext @t4 @t141) (not (tptp.icext @t2 @t141)))) % 34.20/34.41 (define @t143 () (and @t8 @t7 @t142)) % 34.20/34.41 (define @t144 () (not @t10)) % 34.20/34.41 (define @t145 () (or @t144 @t143)) % 34.20/34.41 (define @t146 () (@list @t141)) % 34.20/34.41 (define @t147 () (forall @t146 @t145)) % 34.20/34.41 (define @t148 () (forall @t146 @t142)) % 34.20/34.41 (define @t149 () (forall @t146 @t7)) % 34.20/34.41 (define @t150 () (forall @t146 @t8)) % 34.20/34.41 (define @t151 () (and @t150 @t149 @t148)) % 34.20/34.41 (define @t152 () (forall @t146 @t143)) % 34.20/34.41 (define @t153 () (or @t144 @t152)) % 34.20/34.41 (define @t154 () (not @t29)) % 34.20/34.41 (define @t155 () (not @t30)) % 34.20/34.41 (define @t156 () (not @t31)) % 34.20/34.41 (define @t157 () (not @t21)) % 34.20/34.41 (define @t158 () (or @t157 @t156 @t155 @t154)) % 34.20/34.41 (define @t159 () (forall @t6 (= (tptp.icext @t133 @t1) (and (tptp.icext tptp.uri_ex_A @t1) (tptp.icext @t120 @t1))))) % 34.20/34.41 (define @t160 () (tptp.ic @t120)) % 34.20/34.41 (define @t161 () (tptp.ic tptp.uri_ex_A)) % 34.20/34.41 (define @t162 () (and (tptp.ic @t133) @t161 @t160 @t159)) % 34.20/34.41 (define @t163 () (= @t134 @t162)) % 34.20/34.41 (define @t164 () (or @t132 @t130 @t127 @t125 @t163)) % 34.20/34.41 (define @t165 () (@list false false)) % 34.20/34.41 (define @t166 () (@list false)) % 34.20/34.41 (define @t167 () (tptp.icext @t133 tptp.uri_ex_w)) % 34.20/34.41 (define @t168 () (forall @t77 (= @t3 @t76))) % 34.20/34.41 (define @t169 () (= @t167 @t136)) % 34.20/34.41 (define @t170 () (= @t136 @t167)) % 34.20/34.41 (define @t171 () (tptp.icext @t120 tptp.uri_ex_w)) % 34.20/34.41 (define @t172 () (tptp.icext tptp.uri_ex_A tptp.uri_ex_w)) % 34.20/34.41 (define @t173 () (and @t172 @t171)) % 34.20/34.41 (define @t174 () (= @t167 @t173)) % 34.20/34.41 (define @t175 () (not @t173)) % 34.20/34.41 (define @t176 () (@list @t173)) % 34.20/34.41 (define @t177 () (not @t172)) % 34.20/34.41 (define @t178 () (= @t171 @t177)) % 34.20/34.41 (define @t179 () (not @t178)) % 34.20/34.41 (define @t180 () (and @t160 @t161 @t178)) % 34.20/34.41 (define @t181 () (not @t180)) % 34.20/34.41 (define @t182 () (or @t122 @t180)) % 34.20/34.41 (assume @p1 @t12) % 34.20/34.41 (assume @p2 (forall @t14 (= (tptp.iext tptp.uri_owl_intersectionOf @t4 tptp.uri_rdf_nil) (and @t8 (forall @t6 (= @t5 @t13)))))) % 34.20/34.41 (assume @p3 (forall @t23 (=> @t22 (= @t20 @t18)))) % 34.20/34.41 (assume @p4 @t34) % 34.20/34.41 (assume @p5 (forall @t40 (=> @t39 (= @t20 (and @t8 @t17 @t26 @t37 (forall @t6 (= @t5 (and @t16 @t25 @t36)))))))) % 34.20/34.41 (assume @p6 (forall @t14 (= (tptp.iext tptp.uri_owl_unionOf @t4 tptp.uri_rdf_nil) (and @t8 (forall @t6 (not @t5)))))) % 34.20/34.41 (assume @p7 (forall @t23 (=> @t22 (= @t41 @t18)))) % 34.20/34.41 (assume @p8 (forall @t33 (=> @t32 (= @t41 (and @t8 @t17 @t26 (forall @t6 (= @t5 (or @t16 @t25)))))))) % 34.20/34.41 (assume @p9 (forall @t40 (=> @t39 (= @t41 (and @t8 @t17 @t26 @t37 (forall @t6 (= @t5 (or @t16 @t25 @t36)))))))) % 34.20/34.41 (assume @p10 (forall @t6 (not (tptp.icext tptp.uri_owl_Nothing @t1)))) % 34.20/34.41 (assume @p11 (tptp.ic tptp.uri_owl_Nothing)) % 34.20/34.41 (assume @p12 (forall @t6 (= (tptp.icext tptp.uri_owl_Thing @t1) @t13))) % 34.20/34.41 (assume @p13 (tptp.ic tptp.uri_owl_Thing)) % 34.20/34.41 (assume @p14 (forall @t6 (=> @t46 (forall @t45 (=> @t44 @t43))))) % 34.20/34.41 (assume @p15 (forall @t6 (=> @t46 @t13))) % 34.20/34.41 (assume @p16 (forall @t6 (= @t46 (tptp.iext tptp.uri_rdf_type @t1 tptp.uri_rdfs_Class)))) % 34.20/34.41 (assume @p17 (forall @t6 (=> @t47 (forall @t45 (=> @t44 (tptp.lv @t42)))))) % 34.20/34.41 (assume @p18 (forall @t6 (=> @t47 @t46))) % 34.20/34.41 (assume @p19 (forall @t6 (= @t47 (tptp.iext tptp.uri_rdf_type @t1 tptp.uri_rdfs_Datatype)))) % 34.20/34.41 (assume @p20 (forall @t6 (=> @t51 @t50))) % 34.20/34.41 (assume @p21 (forall @t6 (=> @t51 @t52))) % 34.20/34.41 (assume @p22 (forall @t6 (= @t51 (tptp.iext tptp.uri_rdf_type @t1 tptp.uri_owl_AnnotationProperty)))) % 34.20/34.41 (assume @p23 (forall @t6 (=> @t53 (forall @t49 (=> @t48 (and @t43 (tptp.lv @t4))))))) % 34.20/34.41 (assume @p24 (forall @t6 (=> @t53 @t52))) % 34.20/34.41 (assume @p25 (forall @t6 (= @t53 (tptp.iext tptp.uri_rdf_type @t1 tptp.uri_owl_DatatypeProperty)))) % 34.20/34.41 (assume @p26 (forall @t6 (=> @t54 (forall @t49 (=> @t48 (and (tptp.ix @t42) (tptp.ix @t4))))))) % 34.20/34.41 (assume @p27 (forall @t6 (=> @t54 @t52))) % 34.20/34.41 (assume @p28 (forall @t6 (= @t54 (tptp.iext tptp.uri_rdf_type @t1 tptp.uri_owl_OntologyProperty)))) % 34.20/34.41 (assume @p29 (forall @t6 (=> @t52 @t50))) % 34.20/34.41 (assume @p30 (forall @t6 (=> @t52 @t13))) % 34.20/34.41 (assume @p31 (forall @t6 (= @t52 (tptp.iext tptp.uri_rdf_type @t1 tptp.uri_rdf_Property)))) % 34.20/34.41 (assume @p32 (exists @t6 @t13)) % 34.20/34.41 (assume @p33 (forall @t6 (= @t13 (tptp.iext tptp.uri_rdf_type @t1 tptp.uri_rdfs_Resource)))) % 34.20/34.41 (assume @p34 (forall @t6 (=> @t55 @t13))) % 34.20/34.41 (assume @p35 (forall @t6 (= @t55 (tptp.iext tptp.uri_rdf_type @t1 tptp.uri_owl_Ontology)))) % 34.20/34.41 (assume @p36 (forall @t6 (=> @t56 @t13))) % 34.20/34.41 (assume @p37 (forall @t6 (= @t56 (tptp.iext tptp.uri_rdf_type @t1 tptp.uri_rdfs_Literal)))) % 34.20/34.41 (assume @p38 (forall @t60 (=> (tptp.iext tptp.uri_owl_allValuesFrom @t1 @t42) @t59))) % 34.20/34.41 (assume @p39 (tptp.ip tptp.uri_owl_allValuesFrom)) % 34.20/34.41 (assume @p40 (forall @t60 (=> (tptp.iext tptp.uri_owl_complementOf @t1 @t42) (and @t46 @t57)))) % 34.20/34.41 (assume @p41 (tptp.ip tptp.uri_owl_complementOf)) % 34.20/34.41 (assume @p42 (forall @t60 (=> (tptp.iext tptp.uri_owl_hasValue @t1 @t42) (and @t58 @t43)))) % 34.20/34.41 (assume @p43 (tptp.ip tptp.uri_owl_hasValue)) % 34.20/34.41 (assume @p44 (forall @t60 (=> (tptp.iext tptp.uri_owl_intersectionOf @t1 @t42) @t61))) % 34.20/34.41 (assume @p45 (tptp.ip tptp.uri_owl_intersectionOf)) % 34.20/34.41 (assume @p46 (forall @t60 (=> (tptp.iext tptp.uri_owl_onProperty @t1 @t42) (and @t58 (tptp.ip @t42))))) % 34.20/34.41 (assume @p47 (tptp.ip tptp.uri_owl_onProperty)) % 34.20/34.41 (assume @p48 (forall @t60 (=> (tptp.iext tptp.uri_owl_someValuesFrom @t1 @t42) @t59))) % 34.20/34.41 (assume @p49 (tptp.ip tptp.uri_owl_someValuesFrom)) % 34.20/34.41 (assume @p50 (forall @t60 (=> (tptp.iext tptp.uri_owl_unionOf @t1 @t42) @t61))) % 34.20/34.41 (assume @p51 (tptp.ip tptp.uri_owl_unionOf)) % 34.20/34.41 (assume @p52 (forall @t66 (= @t65 (and @t64 @t7 (forall @t60 (=> @t63 @t3)))))) % 34.20/34.41 (assume @p53 (forall @t66 (= @t69 (and @t64 (tptp.ip @t2) (forall @t60 @t68))))) % 34.20/34.41 (assume @p54 (forall (@list @t15 @t24) (= (tptp.iext tptp.uri_rdfs_subClassOf @t15 @t24) (and @t17 @t26 (forall @t6 (=> @t16 @t25)))))) % 34.20/34.41 (assume @p55 (forall (@list @t71 @t70) (= (tptp.iext tptp.uri_rdfs_subPropertyOf @t71 @t70) (and (tptp.ip @t71) (tptp.ip @t70) (forall @t60 (=> (tptp.iext @t71 @t1 @t42) (tptp.iext @t70 @t1 @t42))))))) % 34.20/34.41 (assume @p56 (forall @t73 (=> (and (tptp.iext tptp.uri_owl_allValuesFrom @t4 @t2) @t72) (forall @t6 (= @t5 (forall @t45 @t68)))))) % 34.20/34.41 (assume @p57 (forall (@list @t4 @t62 @t74) (=> (and (tptp.iext tptp.uri_owl_hasValue @t4 @t74) @t72) (forall @t6 (= @t5 (tptp.iext @t62 @t1 @t74)))))) % 34.20/34.41 (assume @p58 (forall @t73 (=> (and (tptp.iext tptp.uri_owl_someValuesFrom @t4 @t2) @t72) (forall @t6 (= @t5 (exists @t45 (and @t63 @t67))))))) % 34.20/34.41 (assume @p59 (tptp.iext tptp.uri_rdf_type tptp.uri_rdf_first tptp.uri_rdf_Property)) % 34.20/34.41 (assume @p60 (tptp.iext tptp.uri_rdf_type tptp.uri_rdf_nil tptp.uri_rdf_List)) % 34.20/34.41 (assume @p61 (tptp.iext tptp.uri_rdf_type tptp.uri_rdf_rest tptp.uri_rdf_Property)) % 34.20/34.41 (assume @p62 (tptp.iext tptp.uri_rdf_type tptp.uri_rdf__1 tptp.uri_rdf_Property)) % 34.20/34.41 (assume @p63 (tptp.iext tptp.uri_rdf_type tptp.uri_rdf__2 tptp.uri_rdf_Property)) % 34.20/34.41 (assume @p64 (tptp.iext tptp.uri_rdf_type tptp.uri_rdf__3 tptp.uri_rdf_Property)) % 34.20/34.41 (assume @p65 (tptp.iext tptp.uri_rdf_type tptp.uri_rdf_object tptp.uri_rdf_Property)) % 34.20/34.41 (assume @p66 (tptp.iext tptp.uri_rdf_type tptp.uri_rdf_value tptp.uri_rdf_Property)) % 34.20/34.41 (assume @p67 (tptp.iext tptp.uri_rdf_type tptp.uri_rdf_subject tptp.uri_rdf_Property)) % 34.20/34.41 (assume @p68 (forall @t75 (= (tptp.iext tptp.uri_rdf_type @t62 tptp.uri_rdf_Property) @t64))) % 34.20/34.41 (assume @p69 (tptp.iext tptp.uri_rdf_type tptp.uri_rdf_type tptp.uri_rdf_Property)) % 34.20/34.41 (assume @p70 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdfs_comment tptp.uri_rdfs_Resource)) % 34.20/34.41 (assume @p71 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdfs_comment tptp.uri_rdfs_Literal)) % 34.20/34.41 (assume @p72 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdfs_isDefinedBy tptp.uri_rdfs_Resource)) % 34.20/34.41 (assume @p73 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdfs_isDefinedBy tptp.uri_rdfs_Resource)) % 34.20/34.41 (assume @p74 (tptp.iext tptp.uri_rdfs_subPropertyOf tptp.uri_rdfs_isDefinedBy tptp.uri_rdfs_seeAlso)) % 34.20/34.41 (assume @p75 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdfs_label tptp.uri_rdfs_Resource)) % 34.20/34.41 (assume @p76 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdfs_label tptp.uri_rdfs_Literal)) % 34.20/34.41 (assume @p77 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdfs_seeAlso tptp.uri_rdfs_Resource)) % 34.20/34.41 (assume @p78 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdfs_seeAlso tptp.uri_rdfs_Resource)) % 34.20/34.41 (assume @p79 @t78) % 34.20/34.41 (assume @p80 (forall @t79 (=> @t7 (tptp.iext tptp.uri_rdfs_subClassOf @t2 tptp.uri_rdfs_Resource)))) % 34.20/34.41 (assume @p81 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdf_first tptp.uri_rdf_List)) % 34.20/34.41 (assume @p82 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdf_first tptp.uri_rdfs_Resource)) % 34.20/34.41 (assume @p83 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdf_rest tptp.uri_rdf_List)) % 34.20/34.41 (assume @p84 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdf_rest tptp.uri_rdf_List)) % 34.20/34.41 (assume @p85 (tptp.iext tptp.uri_rdfs_subClassOf tptp.uri_rdf_Alt tptp.uri_rdfs_Container)) % 34.20/34.41 (assume @p86 (tptp.iext tptp.uri_rdfs_subClassOf tptp.uri_rdf_Bag tptp.uri_rdfs_Container)) % 34.20/34.41 (assume @p87 (forall @t75 (=> (tptp.icext tptp.uri_rdfs_ContainerMembershipProperty @t62) (tptp.iext tptp.uri_rdfs_subPropertyOf @t62 tptp.uri_rdfs_member)))) % 34.20/34.41 (assume @p88 (tptp.iext tptp.uri_rdfs_subClassOf tptp.uri_rdfs_ContainerMembershipProperty tptp.uri_rdf_Property)) % 34.20/34.41 (assume @p89 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdfs_member tptp.uri_rdfs_Resource)) % 34.20/34.41 (assume @p90 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdfs_member tptp.uri_rdfs_Resource)) % 34.20/34.41 (assume @p91 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdf__1 tptp.uri_rdfs_Resource)) % 34.20/34.41 (assume @p92 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdf__2 tptp.uri_rdfs_Resource)) % 34.20/34.41 (assume @p93 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdf__3 tptp.uri_rdfs_Resource)) % 34.20/34.41 (assume @p94 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdf__1 tptp.uri_rdfs_Resource)) % 34.20/34.41 (assume @p95 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdf__2 tptp.uri_rdfs_Resource)) % 34.20/34.41 (assume @p96 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdf__3 tptp.uri_rdfs_Resource)) % 34.20/34.41 (assume @p97 (tptp.iext tptp.uri_rdf_type tptp.uri_rdf__1 tptp.uri_rdfs_ContainerMembershipProperty)) % 34.20/34.41 (assume @p98 (tptp.iext tptp.uri_rdf_type tptp.uri_rdf__2 tptp.uri_rdfs_ContainerMembershipProperty)) % 34.20/34.41 (assume @p99 (tptp.iext tptp.uri_rdf_type tptp.uri_rdf__3 tptp.uri_rdfs_ContainerMembershipProperty)) % 34.20/34.41 (assume @p100 (tptp.iext tptp.uri_rdfs_subClassOf tptp.uri_rdfs_Seq tptp.uri_rdfs_Container)) % 34.20/34.41 (assume @p101 (tptp.iext tptp.uri_rdfs_subClassOf tptp.uri_rdf_XMLLiteral tptp.uri_rdfs_Literal)) % 34.20/34.41 (assume @p102 (tptp.iext tptp.uri_rdf_type tptp.uri_rdf_XMLLiteral tptp.uri_rdfs_Datatype)) % 34.20/34.41 (assume @p103 (forall (@list @t80) (=> (tptp.icext tptp.uri_rdfs_Datatype @t80) (tptp.iext tptp.uri_rdfs_subClassOf @t80 tptp.uri_rdfs_Literal)))) % 34.20/34.41 (assume @p104 (tptp.iext tptp.uri_rdfs_subClassOf tptp.uri_rdfs_Datatype tptp.uri_rdfs_Class)) % 34.20/34.41 (assume @p105 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdfs_domain tptp.uri_rdf_Property)) % 34.20/34.41 (assume @p106 (forall @t81 (=> (and @t65 @t63) @t3))) % 34.20/34.41 (assume @p107 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdfs_domain tptp.uri_rdfs_Class)) % 34.20/34.41 (assume @p108 (forall @t6 (= @t46 (tptp.icext tptp.uri_rdfs_Class @t1)))) % 34.20/34.41 (assume @p109 (forall @t6 (= @t13 (tptp.icext tptp.uri_rdfs_Resource @t1)))) % 34.20/34.41 (assume @p110 (forall @t6 (= @t56 (tptp.icext tptp.uri_rdfs_Literal @t1)))) % 34.20/34.41 (assume @p111 (tptp.iext tptp.uri_rdf_type tptp.uri_rdf_Property tptp.uri_rdfs_Class)) % 34.20/34.41 (assume @p112 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdfs_range tptp.uri_rdf_Property)) % 34.20/34.41 (assume @p113 (forall @t81 (=> (and @t69 @t63) @t67))) % 34.20/34.41 (assume @p114 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdfs_range tptp.uri_rdfs_Class)) % 34.20/34.41 (assume @p115 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdf_object tptp.uri_rdfs_Statement)) % 34.20/34.41 (assume @p116 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdf_predicate tptp.uri_rdfs_Resource)) % 34.20/34.41 (assume @p117 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdf_predicate tptp.uri_rdfs_Statement)) % 34.20/34.41 (assume @p118 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdf_subject tptp.uri_rdfs_Statement)) % 34.20/34.41 (assume @p119 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdf_subject tptp.uri_rdfs_Resource)) % 34.20/34.41 (assume @p120 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdfs_subClassOf tptp.uri_rdfs_Class)) % 34.20/34.41 (assume @p121 (forall (@list @t2 @t80) (=> @t82 (and @t7 (tptp.ic @t80) (forall @t6 (=> @t3 (tptp.icext @t80 @t1))))))) % 34.20/34.41 (assume @p122 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdfs_subClassOf tptp.uri_rdfs_Class)) % 34.20/34.41 (assume @p123 (forall @t79 (=> @t7 (tptp.iext tptp.uri_rdfs_subClassOf @t2 @t2)))) % 34.20/34.41 (assume @p124 (forall (@list @t2 @t80 @t83) (=> (and @t82 (tptp.iext tptp.uri_rdfs_subClassOf @t80 @t83)) (tptp.iext tptp.uri_rdfs_subClassOf @t2 @t83)))) % 34.20/34.41 (assume @p125 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdfs_subPropertyOf tptp.uri_rdf_Property)) % 34.20/34.41 (assume @p126 (forall (@list @t62 @t84) (=> @t85 (and @t64 (tptp.ip @t84) (forall @t60 (=> @t63 (tptp.iext @t84 @t1 @t42))))))) % 34.20/34.41 (assume @p127 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdfs_subPropertyOf tptp.uri_rdf_Property)) % 34.20/34.41 (assume @p128 (forall @t75 (=> @t64 (tptp.iext tptp.uri_rdfs_subPropertyOf @t62 @t62)))) % 34.20/34.41 (assume @p129 (forall (@list @t62 @t84 @t86) (=> (and @t85 (tptp.iext tptp.uri_rdfs_subPropertyOf @t84 @t86)) (tptp.iext tptp.uri_rdfs_subPropertyOf @t62 @t86)))) % 34.20/34.41 (assume @p130 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdf_type tptp.uri_rdfs_Resource)) % 34.20/34.41 (assume @p131 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdf_type tptp.uri_rdfs_Class)) % 34.20/34.41 (assume @p132 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdf_value tptp.uri_rdfs_Resource)) % 34.20/34.41 (assume @p133 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdf_value tptp.uri_rdfs_Resource)) % 34.20/34.41 (assume @p134 (forall (@list @t88 @t62 @t87) (=> (tptp.iext @t62 @t88 @t87) @t64))) % 34.20/34.41 (assume @p135 (forall @t6 @t13)) % 34.20/34.41 (assume @p136 (not (tptp.iext tptp.uri_rdf_type tptp.uri_ex_w tptp.uri_ex_B))) % 34.20/34.41 (assume @p137 @t104) % 34.20/34.41 (assume @p138 true) % 34.20/34.41 (step @p139 :rule quant-miniscope-or :args ((= (forall @t103 @t116) (or @t115 @t114 @t113)))) % 34.20/34.41 (step @p140 :rule aci_norm :args ((= @t117 @t116))) % 34.20/34.41 (step @p141 :rule cong :premises (@p140) :args ((forall @t103 @t117))) % 34.20/34.41 (step @p142 :rule trans :premises (@p141 @p139)) % 34.20/34.41 (step @p143 :rule aci_norm :args ((= (or @t115 (or @t114 (or @t111 (or @t110 (or @t109 (or @t108 (or @t107 (or @t106 @t105)))))))) @t117))) % 34.20/34.41 (step @p144 :rule bool-and-de-morgan :args (@t92 @t90 true)) % 34.20/34.41 (step @p145 :rule refl :args (@t107)) % 34.20/34.41 (step @p146 :rule nary_cong :premises (@p145 @p144) :args ((or @t107 (not (and @t92 @t90))))) % 34.20/34.41 (step @p147 :rule bool-and-de-morgan :args (@t93 @t92 (and @t90))) % 34.20/34.41 (step @p148 :rule trans :premises (@p147 @p146)) % 34.20/34.41 (step @p149 :rule refl :args (@t108)) % 34.20/34.41 (step @p150 :rule nary_cong :premises (@p149 @p148) :args ((or @t108 (not (and @t93 @t92 @t90))))) % 34.20/34.41 (step @p151 :rule bool-and-de-morgan :args (@t95 @t93 (and @t92 @t90))) % 34.20/34.41 (step @p152 :rule trans :premises (@p151 @p150)) % 34.20/34.41 (step @p153 :rule refl :args (@t109)) % 34.20/34.41 (step @p154 :rule nary_cong :premises (@p153 @p152) :args ((or @t109 (not (and @t95 @t93 @t92 @t90))))) % 34.20/34.41 (step @p155 :rule bool-and-de-morgan :args (@t96 @t95 (and @t93 @t92 @t90))) % 34.20/34.41 (step @p156 :rule trans :premises (@p155 @p154)) % 34.20/34.41 (step @p157 :rule refl :args (@t110)) % 34.20/34.41 (step @p158 :rule nary_cong :premises (@p157 @p156) :args ((or @t110 (not (and @t96 @t95 @t93 @t92 @t90))))) % 34.20/34.41 (step @p159 :rule bool-and-de-morgan :args (@t98 @t96 (and @t95 @t93 @t92 @t90))) % 34.20/34.41 (step @p160 :rule trans :premises (@p159 @p158)) % 34.20/34.41 (step @p161 :rule refl :args (@t111)) % 34.20/34.41 (step @p162 :rule nary_cong :premises (@p161 @p160) :args ((or @t111 (not (and @t98 @t96 @t95 @t93 @t92 @t90))))) % 34.20/34.41 (step @p163 :rule bool-and-de-morgan :args (@t99 @t98 (and @t96 @t95 @t93 @t92 @t90))) % 34.20/34.41 (step @p164 :rule trans :premises (@p163 @p162)) % 34.20/34.41 (step @p165 :rule refl :args (@t114)) % 34.20/34.41 (step @p166 :rule nary_cong :premises (@p165 @p164) :args ((or @t114 (not (and @t99 @t98 @t96 @t95 @t93 @t92 @t90))))) % 34.20/34.41 (step @p167 :rule bool-and-de-morgan :args (@t100 @t99 (and @t98 @t96 @t95 @t93 @t92 @t90))) % 34.20/34.41 (step @p168 :rule trans :premises (@p167 @p166)) % 34.20/34.41 (step @p169 :rule refl :args (@t115)) % 34.20/34.41 (step @p170 :rule nary_cong :premises (@p169 @p168) :args ((or @t115 (not (and @t100 @t99 @t98 @t96 @t95 @t93 @t92 @t90))))) % 34.20/34.41 (step @p171 :rule bool-and-de-morgan :args (@t101 @t100 (and @t99 @t98 @t96 @t95 @t93 @t92 @t90))) % 34.20/34.41 (step @p172 :rule trans :premises (@p171 @p170)) % 34.20/34.41 (step @p173 :rule trans :premises (@p172 @p143)) % 34.20/34.41 (step @p174 :rule cong :premises (@p173) :args (@t118)) % 34.20/34.41 (step @p175 :rule trans :premises (@p174 @p142)) % 34.20/34.41 (step @p176 :rule cong :premises (@p175) :args (@t119)) % 34.20/34.41 (step @p177 :rule exists-elim :args ((= @t104 @t119))) % 34.20/34.41 (step @p178 :rule trans :premises (@p177 @p176)) % 34.20/34.41 (step @p179 :rule eq_resolve :premises (@p137 @p178)) % 34.20/34.41 (step @p180 :rule not_or_elim :premises (@p179) :args (2)) % 34.20/34.41 (step @p181 :rule skolemize :premises (@p180)) % 34.20/34.41 (step @p182 :rule bool-double-not-elim :args (@t121)) % 34.20/34.41 (step @p183 :rule refl :args (@t138)) % 34.20/34.41 (step @p184 :rule nary_cong :premises (@p183 @p182) :args ((or @t138 (not @t122)))) % 34.20/34.41 (step @p185 :rule cnf_or_neg :args (@t138 6)) % 34.20/34.41 (step @p186 :rule eq_resolve :premises (@p185 @p184)) % 34.20/34.41 (step @p187 :rule reordering :premises (@p186) :args ((or @t121 @t138))) % 34.20/34.41 (step @p188 :rule chain_m_resolution :premises (@p187 @p181) :args (@t121 @t139 @t140)) % 34.20/34.41 (step @p189 :rule quant-merge-prenex :args ((= (forall @t11 @t147) (forall (@list @t4 @t2 @t141) @t145)))) % 34.20/34.41 (step @p190 :rule alpha_equiv :args (@t148 (@list @t141) (@list @t1))) % 34.20/34.41 (step @p191 :rule quant-unused-vars :args ((= @t149 @t7))) % 34.20/34.41 (step @p192 :rule quant-unused-vars :args ((= @t150 @t8))) % 34.20/34.41 (step @p193 :rule nary_cong :premises (@p192 @p191 @p190) :args (@t151)) % 34.20/34.41 (step @p194 :rule quant-miniscope-and :args ((= @t152 @t151))) % 34.20/34.41 (step @p195 :rule trans :premises (@p194 @p193)) % 34.20/34.41 (step @p196 :rule refl :args (@t144)) % 34.20/34.41 (step @p197 :rule nary_cong :premises (@p196 @p195) :args (@t153)) % 34.20/34.41 (step @p198 :rule quant-miniscope-or :args ((= @t147 @t153))) % 34.20/34.41 (step @p199 :rule trans :premises (@p198 @p197)) % 34.20/34.41 (step @p200 :rule symm :premises (@p199)) % 34.20/34.41 (step @p201 :rule cong :premises (@p200) :args ((forall @t11 (or @t144 @t9)))) % 34.20/34.41 (step @p202 :rule trans :premises (@p201 @p189)) % 34.20/34.41 (step @p203 :rule bool-impl-elim :args (@t10 @t9)) % 34.20/34.41 (step @p204 :rule cong :premises (@p203) :args (@t12)) % 34.20/34.41 (step @p205 :rule trans :premises (@p204 @p202)) % 34.20/34.41 (step @p206 :rule eq_resolve :premises (@p1 @p205)) % 34.20/34.41 (step @p207 :rule instantiate :premises (@p206) :args ((@list @t120 tptp.uri_ex_A tptp.uri_ex_w))) % 34.20/34.41 (step @p208 :rule aci_norm :args ((= (or @t158 @t27) (or @t157 @t156 @t155 @t154 @t27)))) % 34.20/34.41 (step @p209 :rule refl :args (@t27)) % 34.20/34.41 (step @p210 :rule aci_norm :args ((= (or @t157 (or @t156 (or @t155 @t154))) @t158))) % 34.20/34.41 (step @p211 :rule bool-and-de-morgan :args (@t30 @t29 true)) % 34.20/34.41 (step @p212 :rule refl :args (@t156)) % 34.20/34.41 (step @p213 :rule nary_cong :premises (@p212 @p211) :args ((or @t156 (not (and @t30 @t29))))) % 34.20/34.41 (step @p214 :rule bool-and-de-morgan :args (@t31 @t30 (and @t29))) % 34.20/34.41 (step @p215 :rule trans :premises (@p214 @p213)) % 34.20/34.41 (step @p216 :rule refl :args (@t157)) % 34.20/34.41 (step @p217 :rule nary_cong :premises (@p216 @p215) :args ((or @t157 (not (and @t31 @t30 @t29))))) % 34.20/34.41 (step @p218 :rule bool-and-de-morgan :args (@t21 @t31 (and @t30 @t29))) % 34.20/34.41 (step @p219 :rule trans :premises (@p218 @p217)) % 34.20/34.41 (step @p220 :rule trans :premises (@p219 @p210)) % 34.20/34.41 (step @p221 :rule nary_cong :premises (@p220 @p209) :args ((or (not @t32) @t27))) % 34.20/34.41 (step @p222 :rule trans :premises (@p221 @p208)) % 34.20/34.41 (step @p223 :rule bool-impl-elim :args (@t32 @t27)) % 34.20/34.41 (step @p224 :rule trans :premises (@p223 @p222)) % 34.20/34.41 (step @p225 :rule cong :premises (@p224) :args (@t34)) % 34.20/34.41 (step @p226 :rule eq_resolve :premises (@p4 @p225)) % 34.20/34.41 (step @p227 :rule instantiate :premises (@p226) :args ((@list @t133 @t128 tptp.uri_ex_A @t123 @t120))) % 34.20/34.41 (step @p228 :rule bool-double-not-elim :args (@t124)) % 34.20/34.41 (step @p229 :rule nary_cong :premises (@p183 @p228) :args ((or @t138 (not @t125)))) % 34.20/34.41 (step @p230 :rule cnf_or_neg :args (@t138 5)) % 34.20/34.41 (step @p231 :rule eq_resolve :premises (@p230 @p229)) % 34.20/34.41 (step @p232 :rule reordering :premises (@p231) :args ((or @t124 @t138))) % 34.20/34.41 (step @p233 :rule chain_m_resolution :premises (@p232 @p181) :args (@t124 @t139 @t140)) % 34.20/34.41 (step @p234 :rule bool-double-not-elim :args (@t126)) % 34.20/34.41 (step @p235 :rule nary_cong :premises (@p183 @p234) :args ((or @t138 (not @t127)))) % 34.20/34.41 (step @p236 :rule cnf_or_neg :args (@t138 4)) % 34.20/34.41 (step @p237 :rule eq_resolve :premises (@p236 @p235)) % 34.20/34.41 (step @p238 :rule reordering :premises (@p237) :args ((or @t126 @t138))) % 34.20/34.41 (step @p239 :rule chain_m_resolution :premises (@p238 @p181) :args (@t126 @t139 @t140)) % 34.20/34.41 (step @p240 :rule bool-double-not-elim :args (@t129)) % 34.20/34.41 (step @p241 :rule nary_cong :premises (@p183 @p240) :args ((or @t138 (not @t130)))) % 34.20/34.41 (step @p242 :rule cnf_or_neg :args (@t138 3)) % 34.20/34.41 (step @p243 :rule eq_resolve :premises (@p242 @p241)) % 34.20/34.41 (step @p244 :rule reordering :premises (@p243) :args ((or @t129 @t138))) % 34.20/34.41 (step @p245 :rule chain_m_resolution :premises (@p244 @p181) :args (@t129 @t139 @t140)) % 34.20/34.41 (step @p246 :rule bool-double-not-elim :args (@t131)) % 34.20/34.41 (step @p247 :rule nary_cong :premises (@p183 @p246) :args ((or @t138 (not @t132)))) % 34.20/34.41 (step @p248 :rule cnf_or_neg :args (@t138 2)) % 34.20/34.41 (step @p249 :rule eq_resolve :premises (@p248 @p247)) % 34.20/34.41 (step @p250 :rule reordering :premises (@p249) :args ((or @t131 @t138))) % 34.20/34.41 (step @p251 :rule chain_m_resolution :premises (@p250 @p181) :args (@t131 @t139 @t140)) % 34.20/34.41 (step @p252 :rule cnf_or_pos :args (@t164)) % 34.20/34.41 (step @p253 :rule reordering :premises (@p252) :args ((or @t132 @t130 @t127 @t125 @t163 (not @t164)))) % 34.20/34.41 (step @p254 :rule chain_m_resolution :premises (@p253 @p251 @p245 @p239 @p233 @p227) :args (@t163 (@list false false false false false) (@list @t131 @t129 @t126 @t124 @t164))) % 34.20/34.41 (step @p255 :rule bool-double-not-elim :args (@t134)) % 34.20/34.41 (step @p256 :rule nary_cong :premises (@p183 @p255) :args ((or @t138 (not @t135)))) % 34.20/34.41 (step @p257 :rule cnf_or_neg :args (@t138 1)) % 34.20/34.41 (step @p258 :rule eq_resolve :premises (@p257 @p256)) % 34.20/34.41 (step @p259 :rule reordering :premises (@p258) :args ((or @t134 @t138))) % 34.20/34.41 (step @p260 :rule chain_m_resolution :premises (@p259 @p181) :args (@t134 @t139 @t140)) % 34.20/34.41 (step @p261 :rule cnf_equiv_pos1 :args (@t163)) % 34.20/34.41 (step @p262 :rule reordering :premises (@p261) :args ((or @t135 @t162 (not @t163)))) % 34.20/34.41 (step @p263 :rule chain_m_resolution :premises (@p262 @p260 @p254) :args (@t162 @t165 (@list @t134 @t163))) % 34.20/34.41 (step @p264 :rule cnf_and_pos :args (@t162 3)) % 34.20/34.41 (step @p265 :rule reordering :premises (@p264) :args ((or @t159 (not @t162)))) % 34.20/34.41 (step @p266 :rule chain_m_resolution :premises (@p265 @p263) :args (@t159 @t166 (@list @t162))) % 34.20/34.41 (step @p267 :rule instantiate :premises (@p266) :args ((@list tptp.uri_ex_w))) % 34.20/34.41 (step @p268 :rule eq-symm :args (@t76 @t3)) % 34.20/34.41 (step @p269 :rule cong :premises (@p268) :args (@t78)) % 34.20/34.41 (step @p270 :rule eq_resolve :premises (@p79 @p269)) % 34.20/34.41 (step @p271 :rule eq-symm :args (@t167 @t136)) % 34.20/34.41 (step @p272 :rule refl :args (@t168)) % 34.20/34.41 (step @p273 :rule cong :premises (@p272 @p271) :args ((=> @t168 @t169))) % 34.20/34.41 (assume-push @p308 @t168) % 34.20/34.41 (step @p275 :rule instantiate :premises (@p270) :args ((@list tptp.uri_ex_w @t133))) % 34.20/34.41 (step-pop @p309 :rule scope :premises (@p275)) % 34.20/34.41 (step @p276 :rule process_scope :premises (@p309) :args (@t169)) % 34.20/34.41 (step @p278 :rule eq_resolve :premises (@p276 @p273)) % 34.20/34.41 (step @p279 :rule implies_elim :premises (@p278)) % 34.20/34.41 (step @p280 :rule chain_m_resolution :premises (@p279 @p270) :args (@t170 @t166 (@list @t168))) % 34.20/34.41 (step @p281 :rule bool-double-not-elim :args (@t136)) % 34.20/34.41 (step @p282 :rule nary_cong :premises (@p183 @p281) :args ((or @t138 (not @t137)))) % 34.20/34.41 (step @p283 :rule cnf_or_neg :args (@t138 0)) % 34.20/34.41 (step @p284 :rule eq_resolve :premises (@p283 @p282)) % 34.20/34.41 (step @p285 :rule reordering :premises (@p284) :args ((or @t136 @t138))) % 34.20/34.41 (step @p286 :rule chain_m_resolution :premises (@p285 @p181) :args (@t136 @t139 @t140)) % 34.20/34.41 (step @p287 :rule cnf_equiv_pos1 :args (@t170)) % 34.20/34.41 (step @p288 :rule reordering :premises (@p287) :args ((or @t137 @t167 (not @t170)))) % 34.20/34.41 (step @p289 :rule chain_m_resolution :premises (@p288 @p286 @p280) :args (@t167 @t165 (@list @t136 @t170))) % 34.20/34.41 (step @p290 :rule cnf_equiv_pos1 :args (@t174)) % 34.20/34.41 (step @p291 :rule reordering :premises (@p290) :args ((or (not @t167) @t173 (not @t174)))) % 34.20/34.41 (step @p292 :rule chain_m_resolution :premises (@p291 @p289 @p267) :args (@t173 @t165 (@list @t167 @t174))) % 34.20/34.41 (step @p293 :rule cnf_and_pos :args (@t173 1)) % 34.20/34.41 (step @p294 :rule reordering :premises (@p293) :args ((or @t171 @t175))) % 34.20/34.41 (step @p295 :rule chain_m_resolution :premises (@p294 @p292) :args (@t171 @t166 @t176)) % 34.20/34.41 (step @p296 :rule cnf_and_pos :args (@t173 0)) % 34.20/34.41 (step @p297 :rule reordering :premises (@p296) :args ((or @t172 @t175))) % 34.20/34.41 (step @p298 :rule chain_m_resolution :premises (@p297 @p292) :args (@t172 @t166 @t176)) % 34.20/34.41 (step @p299 :rule cnf_equiv_pos1 :args (@t178)) % 34.20/34.41 (step @p300 :rule reordering :premises (@p299) :args ((or @t177 (not @t171) @t179))) % 34.20/34.41 (step @p301 :rule chain_m_resolution :premises (@p300 @p298 @p295) :args (@t179 @t165 (@list @t172 @t171))) % 34.20/34.41 (step @p302 :rule cnf_and_pos :args (@t180 2)) % 34.20/34.41 (step @p303 :rule reordering :premises (@p302) :args ((or @t178 @t181))) % 34.20/34.41 (step @p304 :rule chain_m_resolution :premises (@p303 @p301) :args (@t181 @t139 (@list @t178))) % 34.20/34.41 (step @p305 :rule cnf_or_pos :args (@t182)) % 34.20/34.41 (step @p306 :rule reordering :premises (@p305) :args ((or @t122 @t180 (not @t182)))) % 34.20/34.41 (step @p307 false :rule chain_m_resolution :premises (@p306 @p304 @p207 @p188) :args (false (@list true false false) (@list @t180 @t182 @t121))) % 34.20/34.41 ) % 34.20/34.41 % SZS output end Proof % 34.20/34.41 % cvc5 exiting %------------------------------------------------------------------------------