%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWB009+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 : n026.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:57:04 AM UTC 2026 % Result : Theorem 0.62s 0.82s % Output : Proof 0.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWB009+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 % 0.15/0.34 % Computer : n026.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 18:51:40 EDT 2026 % 0.15/0.34 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.62/0.82 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.62/0.82 % SZS status Theorem % 0.62/0.82 % SZS output start Proof % 0.62/0.82 ( % 0.62/0.82 (declare-sort $$unsorted 0) % 0.62/0.82 (declare-const tptp.uri_ex_p $$unsorted) % 0.62/0.82 (declare-const tptp.uri_owl_Ontology $$unsorted) % 0.62/0.82 (declare-const tptp.ix (-> $$unsorted Bool)) % 0.62/0.82 (declare-const tptp.uri_rdfs_isDefinedBy $$unsorted) % 0.62/0.82 (declare-const tptp.uri_rdfs_Resource $$unsorted) % 0.62/0.82 (declare-const tptp.uri_owl_DatatypeProperty $$unsorted) % 0.62/0.82 (declare-const tptp.uri_rdf_rest $$unsorted) % 0.62/0.82 (declare-const tptp.uri_owl_AnnotationProperty $$unsorted) % 0.62/0.82 (declare-const tptp.ioap (-> $$unsorted Bool)) % 0.62/0.82 (declare-const tptp.uri_rdfs_Datatype $$unsorted) % 0.62/0.82 (declare-const tptp.uri_owl_ObjectProperty $$unsorted) % 0.62/0.82 (declare-const tptp.uri_rdf_Alt $$unsorted) % 0.62/0.82 (declare-const tptp.uri_owl_OntologyProperty $$unsorted) % 0.62/0.82 (declare-const tptp.uri_owl_onProperty $$unsorted) % 0.62/0.82 (declare-const tptp.idc (-> $$unsorted Bool)) % 0.62/0.82 (declare-const tptp.lv (-> $$unsorted Bool)) % 0.62/0.82 (declare-const tptp.ip (-> $$unsorted Bool)) % 0.62/0.82 (declare-const tptp.icext (-> $$unsorted $$unsorted Bool)) % 0.62/0.82 (declare-const tptp.uri_rdf__2 $$unsorted) % 0.62/0.82 (declare-const tptp.uri_owl_unionOf $$unsorted) % 0.62/0.82 (declare-const tptp.ic (-> $$unsorted Bool)) % 0.62/0.82 (declare-const tptp.uri_rdf__1 $$unsorted) % 0.62/0.82 (declare-const tptp.uri_owl_intersectionOf $$unsorted) % 0.62/0.82 (declare-const tptp.uri_rdfs_Statement $$unsorted) % 0.62/0.82 (declare-const tptp.uri_owl_Thing $$unsorted) % 0.62/0.82 (declare-const tptp.ioxp (-> $$unsorted Bool)) % 0.62/0.82 (declare-const tptp.uri_owl_complementOf $$unsorted) % 0.62/0.82 (declare-const tptp.uri_rdf_Property $$unsorted) % 0.62/0.82 (declare-const tptp.iext (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.62/0.82 (declare-const tptp.ir (-> $$unsorted Bool)) % 0.62/0.82 (declare-const tptp.uri_rdf_predicate $$unsorted) % 0.62/0.82 (declare-const tptp.uri_rdf_first $$unsorted) % 0.62/0.82 (declare-const tptp.iodp (-> $$unsorted Bool)) % 0.62/0.82 (declare-const tptp.uri_owl_Nothing $$unsorted) % 0.62/0.82 (declare-const tptp.uri_rdf_object $$unsorted) % 0.62/0.82 (declare-const tptp.uri_rdfs_Seq $$unsorted) % 0.62/0.82 (declare-const tptp.uri_rdfs_Class $$unsorted) % 0.62/0.82 (declare-const tptp.uri_owl_Restriction $$unsorted) % 0.62/0.82 (declare-const tptp.uri_rdf__3 $$unsorted) % 0.62/0.82 (declare-const tptp.uri_owl_allValuesFrom $$unsorted) % 0.62/0.82 (declare-const tptp.uri_owl_hasValue $$unsorted) % 0.62/0.82 (declare-const tptp.uri_ex_s $$unsorted) % 0.62/0.82 (declare-const tptp.uri_rdf_List $$unsorted) % 0.62/0.82 (declare-const tptp.uri_rdfs_domain $$unsorted) % 0.62/0.82 (declare-const tptp.uri_owl_someValuesFrom $$unsorted) % 0.62/0.82 (declare-const tptp.uri_rdfs_ContainerMembershipProperty $$unsorted) % 0.62/0.82 (declare-const tptp.uri_rdfs_subClassOf $$unsorted) % 0.62/0.82 (declare-const tptp.uri_rdfs_Literal $$unsorted) % 0.62/0.82 (declare-const tptp.uri_rdf_value $$unsorted) % 0.62/0.82 (declare-const tptp.uri_rdfs_range $$unsorted) % 0.62/0.82 (declare-const tptp.uri_rdf_nil $$unsorted) % 0.62/0.82 (declare-const tptp.uri_rdf_XMLLiteral $$unsorted) % 0.62/0.82 (declare-const tptp.uri_rdfs_subPropertyOf $$unsorted) % 0.62/0.82 (declare-const tptp.uri_rdf_subject $$unsorted) % 0.62/0.82 (declare-const tptp.uri_rdfs_comment $$unsorted) % 0.62/0.82 (declare-const tptp.uri_rdfs_seeAlso $$unsorted) % 0.62/0.82 (declare-const tptp.uri_rdfs_label $$unsorted) % 0.62/0.82 (declare-const tptp.uri_owl_Class $$unsorted) % 0.62/0.82 (declare-const tptp.uri_rdfs_Container $$unsorted) % 0.62/0.82 (declare-const tptp.uri_ex_c $$unsorted) % 0.62/0.82 (declare-const tptp.uri_rdf_type $$unsorted) % 0.62/0.82 (declare-const tptp.uri_rdf_Bag $$unsorted) % 0.62/0.82 (declare-const tptp.uri_rdfs_member $$unsorted) % 0.62/0.82 (define @t1 () (@var "X" $$unsorted)) % 0.62/0.82 (define @t2 () (@var "C" $$unsorted)) % 0.62/0.82 (define @t3 () (tptp.icext @t2 @t1)) % 0.62/0.82 (define @t4 () (@var "Z" $$unsorted)) % 0.62/0.82 (define @t5 () (tptp.icext @t4 @t1)) % 0.62/0.82 (define @t6 () (@list @t1)) % 0.62/0.82 (define @t7 () (tptp.ic @t2)) % 0.62/0.82 (define @t8 () (tptp.ic @t4)) % 0.62/0.82 (define @t9 () (tptp.ir @t1)) % 0.62/0.82 (define @t10 () (@list @t4)) % 0.62/0.82 (define @t11 () (@var "C1" $$unsorted)) % 0.62/0.82 (define @t12 () (tptp.icext @t11 @t1)) % 0.62/0.82 (define @t13 () (tptp.ic @t11)) % 0.62/0.82 (define @t14 () (and @t8 @t13 (forall @t6 (= @t5 @t12)))) % 0.62/0.82 (define @t15 () (@var "S1" $$unsorted)) % 0.62/0.82 (define @t16 () (tptp.iext tptp.uri_owl_intersectionOf @t4 @t15)) % 0.62/0.82 (define @t17 () (tptp.iext tptp.uri_rdf_first @t15 @t11)) % 0.62/0.82 (define @t18 () (and @t17 (tptp.iext tptp.uri_rdf_rest @t15 tptp.uri_rdf_nil))) % 0.62/0.82 (define @t19 () (@list @t4 @t15 @t11)) % 0.62/0.82 (define @t20 () (@var "C2" $$unsorted)) % 0.62/0.82 (define @t21 () (tptp.icext @t20 @t1)) % 0.62/0.82 (define @t22 () (tptp.ic @t20)) % 0.62/0.82 (define @t23 () (@var "S2" $$unsorted)) % 0.62/0.82 (define @t24 () (tptp.iext tptp.uri_rdf_first @t23 @t20)) % 0.62/0.82 (define @t25 () (tptp.iext tptp.uri_rdf_rest @t15 @t23)) % 0.62/0.82 (define @t26 () (and @t17 @t25 @t24 (tptp.iext tptp.uri_rdf_rest @t23 tptp.uri_rdf_nil))) % 0.62/0.82 (define @t27 () (@list @t4 @t15 @t11 @t23 @t20)) % 0.62/0.82 (define @t28 () (@var "C3" $$unsorted)) % 0.62/0.82 (define @t29 () (tptp.icext @t28 @t1)) % 0.62/0.82 (define @t30 () (tptp.ic @t28)) % 0.62/0.82 (define @t31 () (@var "S3" $$unsorted)) % 0.62/0.82 (define @t32 () (and @t17 @t25 @t24 (tptp.iext tptp.uri_rdf_rest @t23 @t31) (tptp.iext tptp.uri_rdf_first @t31 @t28) (tptp.iext tptp.uri_rdf_rest @t31 tptp.uri_rdf_nil))) % 0.62/0.82 (define @t33 () (@list @t4 @t15 @t11 @t23 @t20 @t31 @t28)) % 0.62/0.82 (define @t34 () (tptp.iext tptp.uri_owl_unionOf @t4 @t15)) % 0.62/0.82 (define @t35 () (@var "Y" $$unsorted)) % 0.62/0.82 (define @t36 () (tptp.ir @t35)) % 0.62/0.82 (define @t37 () (tptp.icext @t1 @t35)) % 0.62/0.82 (define @t38 () (@list @t35)) % 0.62/0.82 (define @t39 () (tptp.ic @t1)) % 0.62/0.82 (define @t40 () (tptp.idc @t1)) % 0.62/0.82 (define @t41 () (tptp.iext @t1 @t35 @t4)) % 0.62/0.82 (define @t42 () (@list @t35 @t4)) % 0.62/0.82 (define @t43 () (forall @t42 (=> @t41 (and @t36 (tptp.ir @t4))))) % 0.62/0.82 (define @t44 () (tptp.ioap @t1)) % 0.62/0.82 (define @t45 () (tptp.ip @t1)) % 0.62/0.82 (define @t46 () (tptp.iodp @t1)) % 0.62/0.82 (define @t47 () (tptp.ioxp @t1)) % 0.62/0.82 (define @t48 () (tptp.ix @t1)) % 0.62/0.82 (define @t49 () (tptp.lv @t1)) % 0.62/0.82 (define @t50 () (tptp.ic @t35)) % 0.62/0.82 (define @t51 () (tptp.icext tptp.uri_owl_Restriction @t1)) % 0.62/0.82 (define @t52 () (and @t51 @t50)) % 0.62/0.82 (define @t53 () (@list @t1 @t35)) % 0.62/0.82 (define @t54 () (and @t39 (tptp.icext tptp.uri_rdf_List @t35))) % 0.62/0.82 (define @t55 () (@var "P" $$unsorted)) % 0.62/0.82 (define @t56 () (tptp.iext @t55 @t1 @t35)) % 0.62/0.82 (define @t57 () (tptp.ip @t55)) % 0.62/0.82 (define @t58 () (tptp.iext tptp.uri_rdfs_domain @t55 @t2)) % 0.62/0.82 (define @t59 () (@list @t55 @t2)) % 0.62/0.82 (define @t60 () (tptp.icext @t2 @t35)) % 0.62/0.82 (define @t61 () (=> @t56 @t60)) % 0.62/0.82 (define @t62 () (tptp.iext tptp.uri_rdfs_range @t55 @t2)) % 0.62/0.82 (define @t63 () (@var "P2" $$unsorted)) % 0.62/0.82 (define @t64 () (@var "P1" $$unsorted)) % 0.62/0.82 (define @t65 () (tptp.iext tptp.uri_owl_onProperty @t4 @t55)) % 0.62/0.82 (define @t66 () (@list @t4 @t55 @t2)) % 0.62/0.82 (define @t67 () (@var "A" $$unsorted)) % 0.62/0.82 (define @t68 () (and @t56 @t60)) % 0.62/0.82 (define @t69 () (exists @t38 @t68)) % 0.62/0.82 (define @t70 () (= @t5 @t69)) % 0.62/0.82 (define @t71 () (forall @t6 @t70)) % 0.62/0.82 (define @t72 () (tptp.iext tptp.uri_owl_someValuesFrom @t4 @t2)) % 0.62/0.82 (define @t73 () (and @t72 @t65)) % 0.62/0.82 (define @t74 () (=> @t73 @t71)) % 0.62/0.82 (define @t75 () (forall @t66 @t74)) % 0.62/0.82 (define @t76 () (@list @t55)) % 0.62/0.82 (define @t77 () (tptp.iext tptp.uri_rdf_type @t1 @t2)) % 0.62/0.82 (define @t78 () (@list @t1 @t2)) % 0.62/0.82 (define @t79 () (forall @t78 (= @t77 @t3))) % 0.62/0.82 (define @t80 () (@list @t2)) % 0.62/0.82 (define @t81 () (@var "D" $$unsorted)) % 0.62/0.82 (define @t82 () (@list @t55 @t2 @t1 @t35)) % 0.62/0.82 (define @t83 () (tptp.iext tptp.uri_rdfs_subClassOf @t2 @t81)) % 0.62/0.82 (define @t84 () (@var "E" $$unsorted)) % 0.62/0.82 (define @t85 () (@var "Q" $$unsorted)) % 0.62/0.82 (define @t86 () (tptp.iext tptp.uri_rdfs_subPropertyOf @t55 @t85)) % 0.62/0.82 (define @t87 () (@var "R" $$unsorted)) % 0.62/0.82 (define @t88 () (@var "O" $$unsorted)) % 0.62/0.82 (define @t89 () (@var "S" $$unsorted)) % 0.62/0.82 (define @t90 () (@var "BNODE_x" $$unsorted)) % 0.62/0.82 (define @t91 () (tptp.iext tptp.uri_rdf_type @t90 tptp.uri_ex_c)) % 0.62/0.82 (define @t92 () (tptp.iext tptp.uri_ex_p tptp.uri_ex_s @t90)) % 0.62/0.82 (define @t93 () (and @t92 @t91)) % 0.62/0.82 (define @t94 () (@list @t90)) % 0.62/0.82 (define @t95 () (exists @t94 @t93)) % 0.62/0.82 (define @t96 () (not @t95)) % 0.62/0.82 (define @t97 () (@var "BNODE_z" $$unsorted)) % 0.62/0.82 (define @t98 () (tptp.iext tptp.uri_owl_someValuesFrom @t97 tptp.uri_ex_c)) % 0.62/0.82 (define @t99 () (tptp.iext tptp.uri_owl_onProperty @t97 tptp.uri_ex_p)) % 0.62/0.82 (define @t100 () (tptp.iext tptp.uri_rdf_type @t97 tptp.uri_owl_Restriction)) % 0.62/0.82 (define @t101 () (tptp.iext tptp.uri_rdf_type tptp.uri_ex_s @t97)) % 0.62/0.82 (define @t102 () (tptp.iext tptp.uri_rdf_type tptp.uri_ex_c tptp.uri_owl_Class)) % 0.62/0.82 (define @t103 () (tptp.iext tptp.uri_rdf_type tptp.uri_ex_p tptp.uri_owl_ObjectProperty)) % 0.62/0.82 (define @t104 () (and @t103 @t102 @t101 @t100 @t99 @t98)) % 0.62/0.82 (define @t105 () (@list @t97)) % 0.62/0.82 (define @t106 () (exists @t105 @t104)) % 0.62/0.82 (define @t107 () (not @t60)) % 0.62/0.82 (define @t108 () (@var "BOUND_VARIABLE_8246" $$unsorted)) % 0.62/0.82 (define @t109 () (= (tptp.icext @t4 @t108) (not (forall @t38 (or (not (tptp.iext @t55 @t108 @t35)) @t107))))) % 0.62/0.82 (define @t110 () (not @t65)) % 0.62/0.82 (define @t111 () (not @t72)) % 0.62/0.82 (define @t112 () (or @t111 @t110 @t109)) % 0.62/0.82 (define @t113 () (@list @t108)) % 0.62/0.82 (define @t114 () (forall @t113 @t112)) % 0.62/0.82 (define @t115 () (forall @t113 @t109)) % 0.62/0.82 (define @t116 () (or @t111 @t110 @t115)) % 0.62/0.82 (define @t117 () (forall @t6 (= @t5 (not (forall @t38 (or (not @t56) @t107)))))) % 0.62/0.82 (define @t118 () (or @t111 @t110 @t117)) % 0.62/0.82 (define @t119 () (forall @t38 (not @t68))) % 0.62/0.82 (define @t120 () (not @t119)) % 0.62/0.82 (define @t121 () (not @t98)) % 0.62/0.82 (define @t122 () (not @t99)) % 0.62/0.82 (define @t123 () (not @t100)) % 0.62/0.82 (define @t124 () (not @t101)) % 0.62/0.82 (define @t125 () (or @t124 @t123 @t122 @t121)) % 0.62/0.82 (define @t126 () (forall @t105 @t125)) % 0.62/0.82 (define @t127 () (@quantifiers_skolemize @t126 0)) % 0.62/0.82 (define @t128 () (not @t102)) % 0.62/0.82 (define @t129 () (not @t103)) % 0.62/0.82 (define @t130 () (or @t129 @t128 @t125)) % 0.62/0.82 (define @t131 () (or @t129 @t128 @t124 @t123 @t122 @t121)) % 0.62/0.82 (define @t132 () (forall @t105 (not @t104))) % 0.62/0.82 (define @t133 () (not @t132)) % 0.62/0.82 (define @t134 () (tptp.iext tptp.uri_owl_someValuesFrom @t127 tptp.uri_ex_c)) % 0.62/0.82 (define @t135 () (not @t134)) % 0.62/0.82 (define @t136 () (tptp.iext tptp.uri_owl_onProperty @t127 tptp.uri_ex_p)) % 0.62/0.82 (define @t137 () (not @t136)) % 0.62/0.82 (define @t138 () (tptp.iext tptp.uri_rdf_type tptp.uri_ex_s @t127)) % 0.62/0.82 (define @t139 () (not @t138)) % 0.62/0.82 (define @t140 () (or @t139 (not (tptp.iext tptp.uri_rdf_type @t127 tptp.uri_owl_Restriction)) @t137 @t135)) % 0.62/0.82 (define @t141 () (@list true)) % 0.62/0.82 (define @t142 () (@list @t140)) % 0.62/0.82 (define @t143 () (forall @t38 (or (not (tptp.iext tptp.uri_ex_p tptp.uri_ex_s @t35)) (not (tptp.icext tptp.uri_ex_c @t35))))) % 0.62/0.82 (define @t144 () (not @t143)) % 0.62/0.82 (define @t145 () (tptp.icext @t127 tptp.uri_ex_s)) % 0.62/0.82 (define @t146 () (= @t145 @t144)) % 0.62/0.82 (define @t147 () (or @t135 @t137 @t146)) % 0.62/0.82 (define @t148 () (@list false false false)) % 0.62/0.82 (define @t149 () (forall @t78 (= @t3 @t77))) % 0.62/0.82 (define @t150 () (= @t145 @t138)) % 0.62/0.82 (define @t151 () (= @t138 @t145)) % 0.62/0.82 (define @t152 () (@list false false)) % 0.62/0.82 (define @t153 () (@quantifiers_skolemize @t143 0)) % 0.62/0.82 (define @t154 () (tptp.iext tptp.uri_ex_p tptp.uri_ex_s @t153)) % 0.62/0.82 (define @t155 () (tptp.icext tptp.uri_ex_c @t153)) % 0.62/0.82 (define @t156 () (not @t155)) % 0.62/0.82 (define @t157 () (not @t154)) % 0.62/0.82 (define @t158 () (or @t157 @t156)) % 0.62/0.82 (define @t159 () (@list @t158)) % 0.62/0.82 (define @t160 () (forall @t94 (not @t93))) % 0.62/0.82 (define @t161 () (not @t160)) % 0.62/0.82 (define @t162 () (tptp.iext tptp.uri_rdf_type @t153 tptp.uri_ex_c)) % 0.62/0.82 (define @t163 () (= @t155 @t162)) % 0.62/0.82 (define @t164 () (not @t162)) % 0.62/0.82 (define @t165 () (or @t157 @t164)) % 0.62/0.82 (assume @p1 (forall (@list @t4 @t2) (=> (tptp.iext tptp.uri_owl_complementOf @t4 @t2) (and @t8 @t7 (forall @t6 (= @t5 (not @t3))))))) % 0.62/0.82 (assume @p2 (forall @t10 (= (tptp.iext tptp.uri_owl_intersectionOf @t4 tptp.uri_rdf_nil) (and @t8 (forall @t6 (= @t5 @t9)))))) % 0.62/0.82 (assume @p3 (forall @t19 (=> @t18 (= @t16 @t14)))) % 0.62/0.82 (assume @p4 (forall @t27 (=> @t26 (= @t16 (and @t8 @t13 @t22 (forall @t6 (= @t5 (and @t12 @t21)))))))) % 0.62/0.82 (assume @p5 (forall @t33 (=> @t32 (= @t16 (and @t8 @t13 @t22 @t30 (forall @t6 (= @t5 (and @t12 @t21 @t29)))))))) % 0.62/0.82 (assume @p6 (forall @t10 (= (tptp.iext tptp.uri_owl_unionOf @t4 tptp.uri_rdf_nil) (and @t8 (forall @t6 (not @t5)))))) % 0.62/0.82 (assume @p7 (forall @t19 (=> @t18 (= @t34 @t14)))) % 0.62/0.82 (assume @p8 (forall @t27 (=> @t26 (= @t34 (and @t8 @t13 @t22 (forall @t6 (= @t5 (or @t12 @t21)))))))) % 0.62/0.82 (assume @p9 (forall @t33 (=> @t32 (= @t34 (and @t8 @t13 @t22 @t30 (forall @t6 (= @t5 (or @t12 @t21 @t29)))))))) % 0.62/0.82 (assume @p10 (forall @t6 (not (tptp.icext tptp.uri_owl_Nothing @t1)))) % 0.62/0.82 (assume @p11 (tptp.ic tptp.uri_owl_Nothing)) % 0.62/0.82 (assume @p12 (forall @t6 (= (tptp.icext tptp.uri_owl_Thing @t1) @t9))) % 0.62/0.82 (assume @p13 (tptp.ic tptp.uri_owl_Thing)) % 0.62/0.82 (assume @p14 (forall @t6 (=> @t39 (forall @t38 (=> @t37 @t36))))) % 0.62/0.82 (assume @p15 (forall @t6 (=> @t39 @t9))) % 0.62/0.82 (assume @p16 (forall @t6 (= @t39 (tptp.iext tptp.uri_rdf_type @t1 tptp.uri_rdfs_Class)))) % 0.62/0.82 (assume @p17 (forall @t6 (=> @t40 (forall @t38 (=> @t37 (tptp.lv @t35)))))) % 0.62/0.82 (assume @p18 (forall @t6 (=> @t40 @t39))) % 0.62/0.82 (assume @p19 (forall @t6 (= @t40 (tptp.iext tptp.uri_rdf_type @t1 tptp.uri_rdfs_Datatype)))) % 0.62/0.82 (assume @p20 (forall @t6 (=> @t44 @t43))) % 0.62/0.82 (assume @p21 (forall @t6 (=> @t44 @t45))) % 0.62/0.82 (assume @p22 (forall @t6 (= @t44 (tptp.iext tptp.uri_rdf_type @t1 tptp.uri_owl_AnnotationProperty)))) % 0.62/0.82 (assume @p23 (forall @t6 (=> @t46 (forall @t42 (=> @t41 (and @t36 (tptp.lv @t4))))))) % 0.62/0.82 (assume @p24 (forall @t6 (=> @t46 @t45))) % 0.62/0.82 (assume @p25 (forall @t6 (= @t46 (tptp.iext tptp.uri_rdf_type @t1 tptp.uri_owl_DatatypeProperty)))) % 0.62/0.82 (assume @p26 (forall @t6 (=> @t47 (forall @t42 (=> @t41 (and (tptp.ix @t35) (tptp.ix @t4))))))) % 0.62/0.82 (assume @p27 (forall @t6 (=> @t47 @t45))) % 0.62/0.82 (assume @p28 (forall @t6 (= @t47 (tptp.iext tptp.uri_rdf_type @t1 tptp.uri_owl_OntologyProperty)))) % 0.62/0.82 (assume @p29 (forall @t6 (=> @t45 @t43))) % 0.62/0.82 (assume @p30 (forall @t6 (=> @t45 @t9))) % 0.62/0.82 (assume @p31 (forall @t6 (= @t45 (tptp.iext tptp.uri_rdf_type @t1 tptp.uri_rdf_Property)))) % 0.62/0.82 (assume @p32 (exists @t6 @t9)) % 0.62/0.82 (assume @p33 (forall @t6 (= @t9 (tptp.iext tptp.uri_rdf_type @t1 tptp.uri_rdfs_Resource)))) % 0.62/0.82 (assume @p34 (forall @t6 (=> @t48 @t9))) % 0.62/0.82 (assume @p35 (forall @t6 (= @t48 (tptp.iext tptp.uri_rdf_type @t1 tptp.uri_owl_Ontology)))) % 0.62/0.82 (assume @p36 (forall @t6 (=> @t49 @t9))) % 0.62/0.82 (assume @p37 (forall @t6 (= @t49 (tptp.iext tptp.uri_rdf_type @t1 tptp.uri_rdfs_Literal)))) % 0.62/0.82 (assume @p38 (forall @t53 (=> (tptp.iext tptp.uri_owl_allValuesFrom @t1 @t35) @t52))) % 0.62/0.82 (assume @p39 (tptp.ip tptp.uri_owl_allValuesFrom)) % 0.62/0.82 (assume @p40 (forall @t53 (=> (tptp.iext tptp.uri_owl_complementOf @t1 @t35) (and @t39 @t50)))) % 0.62/0.82 (assume @p41 (tptp.ip tptp.uri_owl_complementOf)) % 0.62/0.82 (assume @p42 (forall @t53 (=> (tptp.iext tptp.uri_owl_hasValue @t1 @t35) (and @t51 @t36)))) % 0.62/0.82 (assume @p43 (tptp.ip tptp.uri_owl_hasValue)) % 0.62/0.82 (assume @p44 (forall @t53 (=> (tptp.iext tptp.uri_owl_intersectionOf @t1 @t35) @t54))) % 0.62/0.82 (assume @p45 (tptp.ip tptp.uri_owl_intersectionOf)) % 0.62/0.82 (assume @p46 (forall @t53 (=> (tptp.iext tptp.uri_owl_onProperty @t1 @t35) (and @t51 (tptp.ip @t35))))) % 0.62/0.82 (assume @p47 (tptp.ip tptp.uri_owl_onProperty)) % 0.62/0.82 (assume @p48 (forall @t53 (=> (tptp.iext tptp.uri_owl_someValuesFrom @t1 @t35) @t52))) % 0.62/0.82 (assume @p49 (tptp.ip tptp.uri_owl_someValuesFrom)) % 0.62/0.82 (assume @p50 (forall @t53 (=> (tptp.iext tptp.uri_owl_unionOf @t1 @t35) @t54))) % 0.62/0.82 (assume @p51 (tptp.ip tptp.uri_owl_unionOf)) % 0.62/0.82 (assume @p52 (forall @t59 (= @t58 (and @t57 @t7 (forall @t53 (=> @t56 @t3)))))) % 0.62/0.82 (assume @p53 (forall @t59 (= @t62 (and @t57 (tptp.ip @t2) (forall @t53 @t61))))) % 0.62/0.82 (assume @p54 (forall (@list @t11 @t20) (= (tptp.iext tptp.uri_rdfs_subClassOf @t11 @t20) (and @t13 @t22 (forall @t6 (=> @t12 @t21)))))) % 0.62/0.82 (assume @p55 (forall (@list @t64 @t63) (= (tptp.iext tptp.uri_rdfs_subPropertyOf @t64 @t63) (and (tptp.ip @t64) (tptp.ip @t63) (forall @t53 (=> (tptp.iext @t64 @t1 @t35) (tptp.iext @t63 @t1 @t35))))))) % 0.62/0.82 (assume @p56 (forall @t66 (=> (and (tptp.iext tptp.uri_owl_allValuesFrom @t4 @t2) @t65) (forall @t6 (= @t5 (forall @t38 @t61)))))) % 0.62/0.82 (assume @p57 (forall (@list @t4 @t55 @t67) (=> (and (tptp.iext tptp.uri_owl_hasValue @t4 @t67) @t65) (forall @t6 (= @t5 (tptp.iext @t55 @t1 @t67)))))) % 0.62/0.82 (assume @p58 @t75) % 0.62/0.82 (assume @p59 (tptp.iext tptp.uri_rdf_type tptp.uri_rdf_first tptp.uri_rdf_Property)) % 0.62/0.82 (assume @p60 (tptp.iext tptp.uri_rdf_type tptp.uri_rdf_nil tptp.uri_rdf_List)) % 0.62/0.82 (assume @p61 (tptp.iext tptp.uri_rdf_type tptp.uri_rdf_rest tptp.uri_rdf_Property)) % 0.62/0.82 (assume @p62 (tptp.iext tptp.uri_rdf_type tptp.uri_rdf__1 tptp.uri_rdf_Property)) % 0.62/0.82 (assume @p63 (tptp.iext tptp.uri_rdf_type tptp.uri_rdf__2 tptp.uri_rdf_Property)) % 0.62/0.82 (assume @p64 (tptp.iext tptp.uri_rdf_type tptp.uri_rdf__3 tptp.uri_rdf_Property)) % 0.62/0.82 (assume @p65 (tptp.iext tptp.uri_rdf_type tptp.uri_rdf_object tptp.uri_rdf_Property)) % 0.62/0.82 (assume @p66 (tptp.iext tptp.uri_rdf_type tptp.uri_rdf_value tptp.uri_rdf_Property)) % 0.62/0.82 (assume @p67 (tptp.iext tptp.uri_rdf_type tptp.uri_rdf_subject tptp.uri_rdf_Property)) % 0.62/0.82 (assume @p68 (forall @t76 (= (tptp.iext tptp.uri_rdf_type @t55 tptp.uri_rdf_Property) @t57))) % 0.62/0.82 (assume @p69 (tptp.iext tptp.uri_rdf_type tptp.uri_rdf_type tptp.uri_rdf_Property)) % 0.62/0.82 (assume @p70 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdfs_comment tptp.uri_rdfs_Resource)) % 0.62/0.82 (assume @p71 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdfs_comment tptp.uri_rdfs_Literal)) % 0.62/0.82 (assume @p72 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdfs_isDefinedBy tptp.uri_rdfs_Resource)) % 0.62/0.82 (assume @p73 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdfs_isDefinedBy tptp.uri_rdfs_Resource)) % 0.62/0.82 (assume @p74 (tptp.iext tptp.uri_rdfs_subPropertyOf tptp.uri_rdfs_isDefinedBy tptp.uri_rdfs_seeAlso)) % 0.62/0.82 (assume @p75 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdfs_label tptp.uri_rdfs_Resource)) % 0.62/0.82 (assume @p76 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdfs_label tptp.uri_rdfs_Literal)) % 0.62/0.82 (assume @p77 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdfs_seeAlso tptp.uri_rdfs_Resource)) % 0.62/0.82 (assume @p78 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdfs_seeAlso tptp.uri_rdfs_Resource)) % 0.62/0.82 (assume @p79 @t79) % 0.62/0.82 (assume @p80 (forall @t80 (=> @t7 (tptp.iext tptp.uri_rdfs_subClassOf @t2 tptp.uri_rdfs_Resource)))) % 0.62/0.82 (assume @p81 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdf_first tptp.uri_rdf_List)) % 0.62/0.82 (assume @p82 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdf_first tptp.uri_rdfs_Resource)) % 0.62/0.82 (assume @p83 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdf_rest tptp.uri_rdf_List)) % 0.62/0.82 (assume @p84 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdf_rest tptp.uri_rdf_List)) % 0.62/0.82 (assume @p85 (tptp.iext tptp.uri_rdfs_subClassOf tptp.uri_rdf_Alt tptp.uri_rdfs_Container)) % 0.62/0.82 (assume @p86 (tptp.iext tptp.uri_rdfs_subClassOf tptp.uri_rdf_Bag tptp.uri_rdfs_Container)) % 0.62/0.82 (assume @p87 (forall @t76 (=> (tptp.icext tptp.uri_rdfs_ContainerMembershipProperty @t55) (tptp.iext tptp.uri_rdfs_subPropertyOf @t55 tptp.uri_rdfs_member)))) % 0.62/0.82 (assume @p88 (tptp.iext tptp.uri_rdfs_subClassOf tptp.uri_rdfs_ContainerMembershipProperty tptp.uri_rdf_Property)) % 0.62/0.82 (assume @p89 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdfs_member tptp.uri_rdfs_Resource)) % 0.62/0.82 (assume @p90 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdfs_member tptp.uri_rdfs_Resource)) % 0.62/0.82 (assume @p91 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdf__1 tptp.uri_rdfs_Resource)) % 0.62/0.82 (assume @p92 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdf__2 tptp.uri_rdfs_Resource)) % 0.62/0.82 (assume @p93 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdf__3 tptp.uri_rdfs_Resource)) % 0.62/0.82 (assume @p94 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdf__1 tptp.uri_rdfs_Resource)) % 0.62/0.82 (assume @p95 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdf__2 tptp.uri_rdfs_Resource)) % 0.62/0.82 (assume @p96 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdf__3 tptp.uri_rdfs_Resource)) % 0.62/0.82 (assume @p97 (tptp.iext tptp.uri_rdf_type tptp.uri_rdf__1 tptp.uri_rdfs_ContainerMembershipProperty)) % 0.62/0.82 (assume @p98 (tptp.iext tptp.uri_rdf_type tptp.uri_rdf__2 tptp.uri_rdfs_ContainerMembershipProperty)) % 0.62/0.82 (assume @p99 (tptp.iext tptp.uri_rdf_type tptp.uri_rdf__3 tptp.uri_rdfs_ContainerMembershipProperty)) % 0.62/0.82 (assume @p100 (tptp.iext tptp.uri_rdfs_subClassOf tptp.uri_rdfs_Seq tptp.uri_rdfs_Container)) % 0.62/0.82 (assume @p101 (tptp.iext tptp.uri_rdfs_subClassOf tptp.uri_rdf_XMLLiteral tptp.uri_rdfs_Literal)) % 0.62/0.82 (assume @p102 (tptp.iext tptp.uri_rdf_type tptp.uri_rdf_XMLLiteral tptp.uri_rdfs_Datatype)) % 0.62/0.82 (assume @p103 (forall (@list @t81) (=> (tptp.icext tptp.uri_rdfs_Datatype @t81) (tptp.iext tptp.uri_rdfs_subClassOf @t81 tptp.uri_rdfs_Literal)))) % 0.62/0.82 (assume @p104 (tptp.iext tptp.uri_rdfs_subClassOf tptp.uri_rdfs_Datatype tptp.uri_rdfs_Class)) % 0.62/0.82 (assume @p105 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdfs_domain tptp.uri_rdf_Property)) % 0.62/0.82 (assume @p106 (forall @t82 (=> (and @t58 @t56) @t3))) % 0.62/0.82 (assume @p107 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdfs_domain tptp.uri_rdfs_Class)) % 0.62/0.82 (assume @p108 (forall @t6 (= @t39 (tptp.icext tptp.uri_rdfs_Class @t1)))) % 0.62/0.82 (assume @p109 (forall @t6 (= @t9 (tptp.icext tptp.uri_rdfs_Resource @t1)))) % 0.62/0.82 (assume @p110 (forall @t6 (= @t49 (tptp.icext tptp.uri_rdfs_Literal @t1)))) % 0.62/0.82 (assume @p111 (tptp.iext tptp.uri_rdf_type tptp.uri_rdf_Property tptp.uri_rdfs_Class)) % 0.62/0.82 (assume @p112 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdfs_range tptp.uri_rdf_Property)) % 0.62/0.82 (assume @p113 (forall @t82 (=> (and @t62 @t56) @t60))) % 0.62/0.82 (assume @p114 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdfs_range tptp.uri_rdfs_Class)) % 0.62/0.82 (assume @p115 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdf_object tptp.uri_rdfs_Statement)) % 0.62/0.82 (assume @p116 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdf_predicate tptp.uri_rdfs_Resource)) % 0.62/0.82 (assume @p117 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdf_predicate tptp.uri_rdfs_Statement)) % 0.62/0.82 (assume @p118 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdf_subject tptp.uri_rdfs_Statement)) % 0.62/0.82 (assume @p119 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdf_subject tptp.uri_rdfs_Resource)) % 0.62/0.82 (assume @p120 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdfs_subClassOf tptp.uri_rdfs_Class)) % 0.62/0.82 (assume @p121 (forall (@list @t2 @t81) (=> @t83 (and @t7 (tptp.ic @t81) (forall @t6 (=> @t3 (tptp.icext @t81 @t1))))))) % 0.62/0.82 (assume @p122 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdfs_subClassOf tptp.uri_rdfs_Class)) % 0.62/0.82 (assume @p123 (forall @t80 (=> @t7 (tptp.iext tptp.uri_rdfs_subClassOf @t2 @t2)))) % 0.62/0.82 (assume @p124 (forall (@list @t2 @t81 @t84) (=> (and @t83 (tptp.iext tptp.uri_rdfs_subClassOf @t81 @t84)) (tptp.iext tptp.uri_rdfs_subClassOf @t2 @t84)))) % 0.62/0.82 (assume @p125 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdfs_subPropertyOf tptp.uri_rdf_Property)) % 0.62/0.82 (assume @p126 (forall (@list @t55 @t85) (=> @t86 (and @t57 (tptp.ip @t85) (forall @t53 (=> @t56 (tptp.iext @t85 @t1 @t35))))))) % 0.62/0.82 (assume @p127 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdfs_subPropertyOf tptp.uri_rdf_Property)) % 0.62/0.82 (assume @p128 (forall @t76 (=> @t57 (tptp.iext tptp.uri_rdfs_subPropertyOf @t55 @t55)))) % 0.62/0.82 (assume @p129 (forall (@list @t55 @t85 @t87) (=> (and @t86 (tptp.iext tptp.uri_rdfs_subPropertyOf @t85 @t87)) (tptp.iext tptp.uri_rdfs_subPropertyOf @t55 @t87)))) % 0.62/0.82 (assume @p130 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdf_type tptp.uri_rdfs_Resource)) % 0.62/0.82 (assume @p131 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdf_type tptp.uri_rdfs_Class)) % 0.62/0.82 (assume @p132 (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdf_value tptp.uri_rdfs_Resource)) % 0.62/0.82 (assume @p133 (tptp.iext tptp.uri_rdfs_range tptp.uri_rdf_value tptp.uri_rdfs_Resource)) % 0.62/0.82 (assume @p134 (forall (@list @t89 @t55 @t88) (=> (tptp.iext @t55 @t89 @t88) @t57))) % 0.62/0.82 (assume @p135 (forall @t6 @t9)) % 0.62/0.82 (assume @p136 @t96) % 0.62/0.82 (assume @p137 @t106) % 0.62/0.82 (assume @p138 true) % 0.62/0.82 (step @p139 :rule quant-merge-prenex :args ((= (forall @t66 @t114) (forall (@list @t4 @t55 @t2 @t108) @t112)))) % 0.62/0.82 (step @p140 :rule alpha_equiv :args (@t115 (@list @t108) (@list @t1))) % 0.62/0.82 (step @p141 :rule refl :args (@t110)) % 0.62/0.82 (step @p142 :rule refl :args (@t111)) % 0.62/0.82 (step @p143 :rule nary_cong :premises (@p142 @p141 @p140) :args (@t116)) % 0.62/0.82 (step @p144 :rule quant-miniscope-or :args ((= @t114 @t116))) % 0.62/0.82 (step @p145 :rule trans :premises (@p144 @p143)) % 0.62/0.82 (step @p146 :rule symm :premises (@p145)) % 0.62/0.82 (step @p147 :rule cong :premises (@p146) :args ((forall @t66 @t118))) % 0.62/0.82 (step @p148 :rule trans :premises (@p147 @p139)) % 0.62/0.82 (step @p149 :rule aci_norm :args ((= (or (or @t111 @t110) @t117) @t118))) % 0.62/0.82 (step @p150 :rule refl :args (@t117)) % 0.62/0.82 (step @p151 :rule bool-and-de-morgan :args (@t72 @t65 true)) % 0.62/0.82 (step @p152 :rule nary_cong :premises (@p151 @p150) :args ((or (not @t73) @t117))) % 0.62/0.82 (step @p153 :rule trans :premises (@p152 @p149)) % 0.62/0.82 (step @p154 :rule bool-impl-elim :args (@t73 @t117)) % 0.62/0.82 (step @p155 :rule trans :premises (@p154 @p153)) % 0.62/0.82 (step @p156 :rule cong :premises (@p155) :args ((forall @t66 (=> @t73 @t117)))) % 0.62/0.82 (step @p157 :rule trans :premises (@p156 @p148)) % 0.62/0.82 (step @p158 :rule bool-and-de-morgan :args (@t56 @t60 true)) % 0.62/0.82 (step @p159 :rule cong :premises (@p158) :args (@t119)) % 0.62/0.82 (step @p160 :rule cong :premises (@p159) :args (@t120)) % 0.62/0.82 (step @p161 :rule exists-elim :args ((= @t69 @t120))) % 0.62/0.82 (step @p162 :rule trans :premises (@p161 @p160)) % 0.62/0.82 (step @p163 :rule refl :args (@t5)) % 0.62/0.82 (step @p164 :rule cong :premises (@p163 @p162) :args (@t70)) % 0.62/0.82 (step @p165 :rule cong :premises (@p164) :args (@t71)) % 0.62/0.82 (step @p166 :rule refl :args (@t73)) % 0.62/0.82 (step @p167 :rule cong :premises (@p166 @p165) :args (@t74)) % 0.62/0.82 (step @p168 :rule cong :premises (@p167) :args (@t75)) % 0.62/0.82 (step @p169 :rule trans :premises (@p168 @p157)) % 0.62/0.82 (step @p170 :rule eq_resolve :premises (@p58 @p169)) % 0.62/0.82 (step @p171 :rule instantiate :premises (@p170) :args ((@list @t127 tptp.uri_ex_p tptp.uri_ex_c tptp.uri_ex_s))) % 0.62/0.82 (step @p172 :rule quant-miniscope-or :args ((= (forall @t105 @t130) (or @t129 @t128 @t126)))) % 0.62/0.82 (step @p173 :rule aci_norm :args ((= @t131 @t130))) % 0.62/0.82 (step @p174 :rule cong :premises (@p173) :args ((forall @t105 @t131))) % 0.62/0.82 (step @p175 :rule trans :premises (@p174 @p172)) % 0.62/0.82 (step @p176 :rule aci_norm :args ((= (or @t129 (or @t128 (or @t124 (or @t123 (or @t122 @t121))))) @t131))) % 0.62/0.82 (step @p177 :rule bool-and-de-morgan :args (@t99 @t98 true)) % 0.62/0.82 (step @p178 :rule refl :args (@t123)) % 0.62/0.82 (step @p179 :rule nary_cong :premises (@p178 @p177) :args ((or @t123 (not (and @t99 @t98))))) % 0.62/0.82 (step @p180 :rule bool-and-de-morgan :args (@t100 @t99 (and @t98))) % 0.62/0.82 (step @p181 :rule trans :premises (@p180 @p179)) % 0.62/0.82 (step @p182 :rule refl :args (@t124)) % 0.62/0.82 (step @p183 :rule nary_cong :premises (@p182 @p181) :args ((or @t124 (not (and @t100 @t99 @t98))))) % 0.62/0.82 (step @p184 :rule bool-and-de-morgan :args (@t101 @t100 (and @t99 @t98))) % 0.62/0.82 (step @p185 :rule trans :premises (@p184 @p183)) % 0.62/0.82 (step @p186 :rule refl :args (@t128)) % 0.62/0.82 (step @p187 :rule nary_cong :premises (@p186 @p185) :args ((or @t128 (not (and @t101 @t100 @t99 @t98))))) % 0.62/0.82 (step @p188 :rule bool-and-de-morgan :args (@t102 @t101 (and @t100 @t99 @t98))) % 0.62/0.82 (step @p189 :rule trans :premises (@p188 @p187)) % 0.62/0.82 (step @p190 :rule refl :args (@t129)) % 0.62/0.82 (step @p191 :rule nary_cong :premises (@p190 @p189) :args ((or @t129 (not (and @t102 @t101 @t100 @t99 @t98))))) % 0.62/0.82 (step @p192 :rule bool-and-de-morgan :args (@t103 @t102 (and @t101 @t100 @t99 @t98))) % 0.62/0.82 (step @p193 :rule trans :premises (@p192 @p191)) % 0.62/0.82 (step @p194 :rule trans :premises (@p193 @p176)) % 0.62/0.82 (step @p195 :rule cong :premises (@p194) :args (@t132)) % 0.62/0.82 (step @p196 :rule trans :premises (@p195 @p175)) % 0.62/0.82 (step @p197 :rule cong :premises (@p196) :args (@t133)) % 0.62/0.82 (step @p198 :rule exists-elim :args ((= @t106 @t133))) % 0.62/0.82 (step @p199 :rule trans :premises (@p198 @p197)) % 0.62/0.82 (step @p200 :rule eq_resolve :premises (@p137 @p199)) % 0.62/0.82 (step @p201 :rule not_or_elim :premises (@p200) :args (2)) % 0.62/0.82 (step @p202 :rule skolemize :premises (@p201)) % 0.62/0.82 (step @p203 :rule bool-double-not-elim :args (@t134)) % 0.62/0.82 (step @p204 :rule refl :args (@t140)) % 0.62/0.82 (step @p205 :rule nary_cong :premises (@p204 @p203) :args ((or @t140 (not @t135)))) % 0.62/0.82 (step @p206 :rule cnf_or_neg :args (@t140 3)) % 0.62/0.82 (step @p207 :rule eq_resolve :premises (@p206 @p205)) % 0.62/0.82 (step @p208 :rule reordering :premises (@p207) :args ((or @t134 @t140))) % 0.62/0.82 (step @p209 :rule chain_m_resolution :premises (@p208 @p202) :args (@t134 @t141 @t142)) % 0.62/0.82 (step @p210 :rule bool-double-not-elim :args (@t136)) % 0.62/0.82 (step @p211 :rule nary_cong :premises (@p204 @p210) :args ((or @t140 (not @t137)))) % 0.62/0.82 (step @p212 :rule cnf_or_neg :args (@t140 2)) % 0.62/0.82 (step @p213 :rule eq_resolve :premises (@p212 @p211)) % 0.62/0.82 (step @p214 :rule reordering :premises (@p213) :args ((or @t136 @t140))) % 0.62/0.82 (step @p215 :rule chain_m_resolution :premises (@p214 @p202) :args (@t136 @t141 @t142)) % 0.62/0.82 (step @p216 :rule cnf_or_pos :args (@t147)) % 0.62/0.82 (step @p217 :rule reordering :premises (@p216) :args ((or @t137 @t135 @t146 (not @t147)))) % 0.62/0.82 (step @p218 :rule chain_m_resolution :premises (@p217 @p215 @p209 @p171) :args (@t146 @t148 (@list @t136 @t134 @t147))) % 0.62/0.82 (step @p219 :rule eq-symm :args (@t77 @t3)) % 0.62/0.82 (step @p220 :rule cong :premises (@p219) :args (@t79)) % 0.62/0.82 (step @p221 :rule eq_resolve :premises (@p79 @p220)) % 0.62/0.82 (step @p222 :rule eq-symm :args (@t145 @t138)) % 0.62/0.82 (step @p223 :rule refl :args (@t149)) % 0.62/0.82 (step @p224 :rule cong :premises (@p223 @p222) :args ((=> @t149 @t150))) % 0.62/0.82 (assume-push @p275 @t149) % 0.62/0.82 (step @p226 :rule instantiate :premises (@p221) :args ((@list tptp.uri_ex_s @t127))) % 0.62/0.82 (step-pop @p276 :rule scope :premises (@p226)) % 0.62/0.82 (step @p227 :rule process_scope :premises (@p276) :args (@t150)) % 0.62/0.82 (step @p229 :rule eq_resolve :premises (@p227 @p224)) % 0.62/0.82 (step @p230 :rule implies_elim :premises (@p229)) % 0.62/0.82 (step @p231 :rule chain_m_resolution :premises (@p230 @p221) :args (@t151 (@list false) (@list @t149))) % 0.62/0.82 (step @p232 :rule bool-double-not-elim :args (@t138)) % 0.62/0.82 (step @p233 :rule nary_cong :premises (@p204 @p232) :args ((or @t140 (not @t139)))) % 0.62/0.82 (step @p234 :rule cnf_or_neg :args (@t140 0)) % 0.62/0.82 (step @p235 :rule eq_resolve :premises (@p234 @p233)) % 0.62/0.82 (step @p236 :rule reordering :premises (@p235) :args ((or @t138 @t140))) % 0.62/0.82 (step @p237 :rule chain_m_resolution :premises (@p236 @p202) :args (@t138 @t141 @t142)) % 0.62/0.82 (step @p238 :rule cnf_equiv_pos1 :args (@t151)) % 0.62/0.82 (step @p239 :rule reordering :premises (@p238) :args ((or @t139 @t145 (not @t151)))) % 0.62/0.82 (step @p240 :rule chain_m_resolution :premises (@p239 @p237 @p231) :args (@t145 @t152 (@list @t138 @t151))) % 0.62/0.82 (step @p241 :rule cnf_equiv_pos1 :args (@t146)) % 0.62/0.82 (step @p242 :rule reordering :premises (@p241) :args ((or (not @t145) @t144 (not @t146)))) % 0.62/0.82 (step @p243 :rule chain_m_resolution :premises (@p242 @p240 @p218) :args (@t144 @t152 (@list @t145 @t146))) % 0.62/0.82 (step @p244 :rule skolemize :premises (@p243)) % 0.62/0.82 (step @p245 :rule bool-double-not-elim :args (@t154)) % 0.62/0.82 (step @p246 :rule refl :args (@t158)) % 0.62/0.82 (step @p247 :rule nary_cong :premises (@p246 @p245) :args ((or @t158 (not @t157)))) % 0.62/0.82 (step @p248 :rule cnf_or_neg :args (@t158 0)) % 0.62/0.82 (step @p249 :rule eq_resolve :premises (@p248 @p247)) % 0.62/0.82 (step @p250 :rule reordering :premises (@p249) :args ((or @t154 @t158))) % 0.62/0.82 (step @p251 :rule chain_m_resolution :premises (@p250 @p244) :args (@t154 @t141 @t159)) % 0.62/0.82 (step @p252 :rule bool-double-not-elim :args ((forall @t94 (or (not @t92) (not @t91))))) % 0.62/0.82 (step @p253 :rule bool-and-de-morgan :args (@t92 @t91 true)) % 0.62/0.82 (step @p254 :rule cong :premises (@p253) :args (@t160)) % 0.62/0.82 (step @p255 :rule cong :premises (@p254) :args (@t161)) % 0.62/0.82 (step @p256 :rule exists-elim :args ((= @t95 @t161))) % 0.62/0.82 (step @p257 :rule trans :premises (@p256 @p255)) % 0.62/0.82 (step @p258 :rule cong :premises (@p257) :args (@t96)) % 0.62/0.82 (step @p259 :rule trans :premises (@p258 @p252)) % 0.62/0.82 (step @p260 :rule eq_resolve :premises (@p136 @p259)) % 0.62/0.82 (step @p261 :rule instantiate :premises (@p260) :args ((@list @t153))) % 0.62/0.82 (step @p262 :rule instantiate :premises (@p221) :args ((@list @t153 tptp.uri_ex_c))) % 0.62/0.82 (step @p263 :rule bool-double-not-elim :args (@t155)) % 0.62/0.82 (step @p264 :rule nary_cong :premises (@p246 @p263) :args ((or @t158 (not @t156)))) % 0.62/0.82 (step @p265 :rule cnf_or_neg :args (@t158 1)) % 0.62/0.82 (step @p266 :rule eq_resolve :premises (@p265 @p264)) % 0.62/0.82 (step @p267 :rule reordering :premises (@p266) :args ((or @t155 @t158))) % 0.62/0.82 (step @p268 :rule chain_m_resolution :premises (@p267 @p244) :args (@t155 @t141 @t159)) % 0.62/0.82 (step @p269 :rule cnf_equiv_pos1 :args (@t163)) % 0.62/0.82 (step @p270 :rule reordering :premises (@p269) :args ((or @t156 @t162 (not @t163)))) % 0.62/0.82 (step @p271 :rule chain_m_resolution :premises (@p270 @p268 @p262) :args (@t162 @t152 (@list @t155 @t163))) % 0.62/0.82 (step @p272 :rule cnf_or_pos :args (@t165)) % 0.62/0.82 (step @p273 :rule reordering :premises (@p272) :args ((or @t157 @t164 (not @t165)))) % 0.62/0.82 (step @p274 false :rule chain_m_resolution :premises (@p273 @p271 @p261 @p251) :args (false @t148 (@list @t162 @t165 @t154))) % 0.62/0.82 ) % 0.62/0.82 % SZS output end Proof % 0.62/0.82 % cvc5 exiting %------------------------------------------------------------------------------