%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SWB002+3 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:50:34 AM UTC 2026
% Result : Theorem 0.10s 0.28s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 5
% Syntax : Number of formulae : 66 ( 44 unt; 0 typ; 0 def)
% Number of atoms : 318 ( 83 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 649 ( 131 ~; 63 |; 14 &; 432 @)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 65 ( 62 usr; 53 con; 0-3 aty)
% Number of variables : 144 ( 0 ^; 131 !; 13 ?; 144 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_ic,type,
ic: $i > $o ).
thf(tp_icext,type,
icext: $i > $i > $o ).
thf(tp_idc,type,
idc: $i > $o ).
thf(tp_iext,type,
iext: $i > $i > $i > $o ).
thf(tp_ioap,type,
ioap: $i > $o ).
thf(tp_iodp,type,
iodp: $i > $o ).
thf(tp_ioxp,type,
ioxp: $i > $o ).
thf(tp_ip,type,
ip: $i > $o ).
thf(tp_ir,type,
ir: $i > $o ).
thf(tp_ix,type,
ix: $i > $o ).
thf(tp_lv,type,
lv: $i > $o ).
thf(tp_sK1_SX0,type,
sK1_SX0: $i ).
thf(tp_uri_ex_p,type,
uri_ex_p: $i ).
thf(tp_uri_ex_q,type,
uri_ex_q: $i ).
thf(tp_uri_ex_s,type,
uri_ex_s: $i ).
thf(tp_uri_owl_AnnotationProperty,type,
uri_owl_AnnotationProperty: $i ).
thf(tp_uri_owl_DatatypeProperty,type,
uri_owl_DatatypeProperty: $i ).
thf(tp_uri_owl_Nothing,type,
uri_owl_Nothing: $i ).
thf(tp_uri_owl_Ontology,type,
uri_owl_Ontology: $i ).
thf(tp_uri_owl_OntologyProperty,type,
uri_owl_OntologyProperty: $i ).
thf(tp_uri_owl_Restriction,type,
uri_owl_Restriction: $i ).
thf(tp_uri_owl_Thing,type,
uri_owl_Thing: $i ).
thf(tp_uri_owl_allValuesFrom,type,
uri_owl_allValuesFrom: $i ).
thf(tp_uri_owl_complementOf,type,
uri_owl_complementOf: $i ).
thf(tp_uri_owl_hasValue,type,
uri_owl_hasValue: $i ).
thf(tp_uri_owl_intersectionOf,type,
uri_owl_intersectionOf: $i ).
thf(tp_uri_owl_onProperty,type,
uri_owl_onProperty: $i ).
thf(tp_uri_owl_someValuesFrom,type,
uri_owl_someValuesFrom: $i ).
thf(tp_uri_owl_unionOf,type,
uri_owl_unionOf: $i ).
thf(tp_uri_rdf_Alt,type,
uri_rdf_Alt: $i ).
thf(tp_uri_rdf_Bag,type,
uri_rdf_Bag: $i ).
thf(tp_uri_rdf_List,type,
uri_rdf_List: $i ).
thf(tp_uri_rdf_Property,type,
uri_rdf_Property: $i ).
thf(tp_uri_rdf_XMLLiteral,type,
uri_rdf_XMLLiteral: $i ).
thf(tp_uri_rdf__1,type,
uri_rdf__1: $i ).
thf(tp_uri_rdf__2,type,
uri_rdf__2: $i ).
thf(tp_uri_rdf__3,type,
uri_rdf__3: $i ).
thf(tp_uri_rdf_first,type,
uri_rdf_first: $i ).
thf(tp_uri_rdf_nil,type,
uri_rdf_nil: $i ).
thf(tp_uri_rdf_object,type,
uri_rdf_object: $i ).
thf(tp_uri_rdf_predicate,type,
uri_rdf_predicate: $i ).
thf(tp_uri_rdf_rest,type,
uri_rdf_rest: $i ).
thf(tp_uri_rdf_subject,type,
uri_rdf_subject: $i ).
thf(tp_uri_rdf_type,type,
uri_rdf_type: $i ).
thf(tp_uri_rdf_value,type,
uri_rdf_value: $i ).
thf(tp_uri_rdfs_Class,type,
uri_rdfs_Class: $i ).
thf(tp_uri_rdfs_Container,type,
uri_rdfs_Container: $i ).
thf(tp_uri_rdfs_ContainerMembershipProperty,type,
uri_rdfs_ContainerMembershipProperty: $i ).
thf(tp_uri_rdfs_Datatype,type,
uri_rdfs_Datatype: $i ).
thf(tp_uri_rdfs_Literal,type,
uri_rdfs_Literal: $i ).
thf(tp_uri_rdfs_Resource,type,
uri_rdfs_Resource: $i ).
thf(tp_uri_rdfs_Seq,type,
uri_rdfs_Seq: $i ).
thf(tp_uri_rdfs_Statement,type,
uri_rdfs_Statement: $i ).
thf(tp_uri_rdfs_comment,type,
uri_rdfs_comment: $i ).
thf(tp_uri_rdfs_domain,type,
uri_rdfs_domain: $i ).
thf(tp_uri_rdfs_isDefinedBy,type,
uri_rdfs_isDefinedBy: $i ).
thf(tp_uri_rdfs_label,type,
uri_rdfs_label: $i ).
thf(tp_uri_rdfs_member,type,
uri_rdfs_member: $i ).
thf(tp_uri_rdfs_range,type,
uri_rdfs_range: $i ).
thf(tp_uri_rdfs_seeAlso,type,
uri_rdfs_seeAlso: $i ).
thf(tp_uri_rdfs_subClassOf,type,
uri_rdfs_subClassOf: $i ).
thf(tp_uri_rdfs_subPropertyOf,type,
uri_rdfs_subPropertyOf: $i ).
thf(1,axiom,
? [BNODE_o: $i] :
( ( iext @ uri_ex_p @ uri_ex_s @ BNODE_o )
& ( iext @ uri_ex_q @ BNODE_o @ uri_ex_s ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_002_Existential_Blank_Nodes) ).
thf(4,axiom,
! [S: $i,P: $i,O: $i] :
( ( iext @ P @ S @ O )
=> ( ip @ P ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',simple_iext_property) ).
thf(9,axiom,
! [P: $i,Q: $i,R: $i] :
( ( ( iext @ uri_rdfs_subPropertyOf @ P @ Q )
& ( iext @ uri_rdfs_subPropertyOf @ Q @ R ) )
=> ( iext @ uri_rdfs_subPropertyOf @ P @ R ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subpropertyof_trans) ).
thf(14,axiom,
! [C: $i,D: $i,E: $i] :
( ( ( iext @ uri_rdfs_subClassOf @ C @ D )
& ( iext @ uri_rdfs_subClassOf @ D @ E ) )
=> ( iext @ uri_rdfs_subClassOf @ C @ E ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subclassof_trans) ).
thf(140,conjecture,
? [BNODE_x: $i,BNODE_y: $i] :
( ( iext @ uri_ex_p @ BNODE_x @ BNODE_y )
& ( iext @ uri_ex_q @ BNODE_y @ BNODE_x ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_002_Existential_Blank_Nodes) ).
thf(141,negated_conjecture,
( ( ? [BNODE_x: $i,BNODE_y: $i] :
( ( iext @ uri_ex_p @ BNODE_x @ BNODE_y )
& ( iext @ uri_ex_q @ BNODE_y @ BNODE_x ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[140]) ).
thf(142,plain,
( ( ? [BNODE_x: $i,BNODE_y: $i] :
( ( iext @ uri_ex_p @ BNODE_x @ BNODE_y )
& ( iext @ uri_ex_q @ BNODE_y @ BNODE_x ) ) )
= $false ),
inference(unfold_def,[status(thm)],[141]) ).
thf(143,plain,
( ( ? [BNODE_o: $i] :
( ( iext @ uri_ex_p @ uri_ex_s @ BNODE_o )
& ( iext @ uri_ex_q @ BNODE_o @ uri_ex_s ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(144,plain,
( ( ! [S: $i,P: $i,O: $i] :
( ( iext @ P @ S @ O )
=> ( ip @ P ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(145,plain,
( ( ! [P: $i,Q: $i,R: $i] :
( ( ( iext @ uri_rdfs_subPropertyOf @ P @ Q )
& ( iext @ uri_rdfs_subPropertyOf @ Q @ R ) )
=> ( iext @ uri_rdfs_subPropertyOf @ P @ R ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(146,plain,
( ( ! [C: $i,D: $i,E: $i] :
( ( ( iext @ uri_rdfs_subClassOf @ C @ D )
& ( iext @ uri_rdfs_subClassOf @ D @ E ) )
=> ( iext @ uri_rdfs_subClassOf @ C @ E ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(147,plain,
( ( ~ ? [BNODE_x: $i,BNODE_y: $i] :
( ( iext @ uri_ex_p @ BNODE_x @ BNODE_y )
& ( iext @ uri_ex_q @ BNODE_y @ BNODE_x ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[142]) ).
thf(148,plain,
( ( ! [C: $i,D: $i,E: $i] :
( ( ( iext @ uri_rdfs_subClassOf @ C @ D )
& ( iext @ uri_rdfs_subClassOf @ D @ E ) )
=> ( iext @ uri_rdfs_subClassOf @ C @ E ) ) )
= $true ),
inference(copy,[status(thm)],[146]) ).
thf(149,plain,
( ( ! [P: $i,Q: $i,R: $i] :
( ( ( iext @ uri_rdfs_subPropertyOf @ P @ Q )
& ( iext @ uri_rdfs_subPropertyOf @ Q @ R ) )
=> ( iext @ uri_rdfs_subPropertyOf @ P @ R ) ) )
= $true ),
inference(copy,[status(thm)],[145]) ).
thf(150,plain,
( ( ! [S: $i,P: $i,O: $i] :
( ( iext @ P @ S @ O )
=> ( ip @ P ) ) )
= $true ),
inference(copy,[status(thm)],[144]) ).
thf(151,plain,
( ( ? [BNODE_o: $i] :
( ( iext @ uri_ex_p @ uri_ex_s @ BNODE_o )
& ( iext @ uri_ex_q @ BNODE_o @ uri_ex_s ) ) )
= $true ),
inference(copy,[status(thm)],[143]) ).
thf(152,plain,
( ( ~ ? [BNODE_x: $i,BNODE_y: $i] :
( ( iext @ uri_ex_p @ BNODE_x @ BNODE_y )
& ( iext @ uri_ex_q @ BNODE_y @ BNODE_x ) ) )
= $true ),
inference(copy,[status(thm)],[147]) ).
thf(153,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX1 )
| ~ ( iext @ uri_rdfs_subPropertyOf @ SX1 @ SX2 ) )
| ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[149]) ).
thf(154,plain,
( ( ~ ! [SX0: $i] :
~ ~ ( ~ ( iext @ uri_ex_p @ uri_ex_s @ SX0 )
| ~ ( iext @ uri_ex_q @ SX0 @ uri_ex_s ) ) )
= $true ),
inference(unfold_def,[status(thm)],[151]) ).
thf(155,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
| ~ ( iext @ uri_rdfs_subClassOf @ SX1 @ SX2 ) )
| ( iext @ uri_rdfs_subClassOf @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[148]) ).
thf(156,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( iext @ SX1 @ SX0 @ SX2 )
| ( ip @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[150]) ).
thf(157,plain,
( ( ~ ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( ~ ( iext @ uri_ex_p @ SX0 @ SX1 )
| ~ ( iext @ uri_ex_q @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[152]) ).
thf(158,plain,
! [SV1: $i] :
( ( ! [SY12: $i,SY13: $i] :
( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ SV1 @ SY12 )
| ~ ( iext @ uri_rdfs_subPropertyOf @ SY12 @ SY13 ) )
| ( iext @ uri_rdfs_subPropertyOf @ SV1 @ SY13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[153]) ).
thf(159,plain,
( ( ! [SX0: $i] :
~ ~ ( ~ ( iext @ uri_ex_p @ uri_ex_s @ SX0 )
| ~ ( iext @ uri_ex_q @ SX0 @ uri_ex_s ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(160,plain,
! [SV2: $i] :
( ( ! [SY14: $i,SY15: $i] :
( ~ ~ ( ~ ( iext @ uri_rdfs_subClassOf @ SV2 @ SY14 )
| ~ ( iext @ uri_rdfs_subClassOf @ SY14 @ SY15 ) )
| ( iext @ uri_rdfs_subClassOf @ SV2 @ SY15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(161,plain,
! [SV3: $i] :
( ( ! [SY16: $i,SY17: $i] :
( ~ ( iext @ SY16 @ SV3 @ SY17 )
| ( ip @ SY16 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[156]) ).
thf(162,plain,
( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( ~ ( iext @ uri_ex_p @ SX0 @ SX1 )
| ~ ( iext @ uri_ex_q @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[157]) ).
thf(163,plain,
! [SV4: $i,SV1: $i] :
( ( ! [SY18: $i] :
( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ SV1 @ SV4 )
| ~ ( iext @ uri_rdfs_subPropertyOf @ SV4 @ SY18 ) )
| ( iext @ uri_rdfs_subPropertyOf @ SV1 @ SY18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(164,plain,
( ( ~ ~ ( ~ ( iext @ uri_ex_p @ uri_ex_s @ sK1_SX0 )
| ~ ( iext @ uri_ex_q @ sK1_SX0 @ uri_ex_s ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[159]) ).
thf(165,plain,
! [SV5: $i,SV2: $i] :
( ( ! [SY19: $i] :
( ~ ~ ( ~ ( iext @ uri_rdfs_subClassOf @ SV2 @ SV5 )
| ~ ( iext @ uri_rdfs_subClassOf @ SV5 @ SY19 ) )
| ( iext @ uri_rdfs_subClassOf @ SV2 @ SY19 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[160]) ).
thf(166,plain,
! [SV3: $i,SV6: $i] :
( ( ! [SY20: $i] :
( ~ ( iext @ SV6 @ SV3 @ SY20 )
| ( ip @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[161]) ).
thf(167,plain,
( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( ~ ( iext @ uri_ex_p @ SX0 @ SX1 )
| ~ ( iext @ uri_ex_q @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[162]) ).
thf(168,plain,
! [SV7: $i,SV4: $i,SV1: $i] :
( ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ SV1 @ SV4 )
| ~ ( iext @ uri_rdfs_subPropertyOf @ SV4 @ SV7 ) )
| ( iext @ uri_rdfs_subPropertyOf @ SV1 @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[163]) ).
thf(169,plain,
( ( ~ ( ~ ( iext @ uri_ex_p @ uri_ex_s @ sK1_SX0 )
| ~ ( iext @ uri_ex_q @ sK1_SX0 @ uri_ex_s ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[164]) ).
thf(170,plain,
! [SV8: $i,SV5: $i,SV2: $i] :
( ( ~ ~ ( ~ ( iext @ uri_rdfs_subClassOf @ SV2 @ SV5 )
| ~ ( iext @ uri_rdfs_subClassOf @ SV5 @ SV8 ) )
| ( iext @ uri_rdfs_subClassOf @ SV2 @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[165]) ).
thf(171,plain,
! [SV9: $i,SV3: $i,SV6: $i] :
( ( ~ ( iext @ SV6 @ SV3 @ SV9 )
| ( ip @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(172,plain,
! [SV10: $i] :
( ( ~ ~ ! [SY21: $i] :
~ ~ ( ~ ( iext @ uri_ex_p @ SV10 @ SY21 )
| ~ ( iext @ uri_ex_q @ SY21 @ SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[167]) ).
thf(173,plain,
! [SV7: $i,SV4: $i,SV1: $i] :
( ( ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ SV1 @ SV4 )
| ~ ( iext @ uri_rdfs_subPropertyOf @ SV4 @ SV7 ) ) )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[168]) ).
thf(174,plain,
( ( ~ ( iext @ uri_ex_p @ uri_ex_s @ sK1_SX0 )
| ~ ( iext @ uri_ex_q @ sK1_SX0 @ uri_ex_s ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(175,plain,
! [SV8: $i,SV5: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ( iext @ uri_rdfs_subClassOf @ SV2 @ SV5 )
| ~ ( iext @ uri_rdfs_subClassOf @ SV5 @ SV8 ) ) )
= $true )
| ( ( iext @ uri_rdfs_subClassOf @ SV2 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[170]) ).
thf(176,plain,
! [SV9: $i,SV3: $i,SV6: $i] :
( ( ( ~ ( iext @ SV6 @ SV3 @ SV9 ) )
= $true )
| ( ( ip @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[171]) ).
thf(177,plain,
! [SV10: $i] :
( ( ~ ! [SY21: $i] :
~ ~ ( ~ ( iext @ uri_ex_p @ SV10 @ SY21 )
| ~ ( iext @ uri_ex_q @ SY21 @ SV10 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(178,plain,
! [SV7: $i,SV4: $i,SV1: $i] :
( ( ( ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ SV1 @ SV4 )
| ~ ( iext @ uri_rdfs_subPropertyOf @ SV4 @ SV7 ) ) )
= $false )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(179,plain,
( ( ~ ( iext @ uri_ex_p @ uri_ex_s @ sK1_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[174]) ).
thf(180,plain,
( ( ~ ( iext @ uri_ex_q @ sK1_SX0 @ uri_ex_s ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[174]) ).
thf(181,plain,
! [SV8: $i,SV5: $i,SV2: $i] :
( ( ( ~ ( ~ ( iext @ uri_rdfs_subClassOf @ SV2 @ SV5 )
| ~ ( iext @ uri_rdfs_subClassOf @ SV5 @ SV8 ) ) )
= $false )
| ( ( iext @ uri_rdfs_subClassOf @ SV2 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(182,plain,
! [SV9: $i,SV3: $i,SV6: $i] :
( ( ( iext @ SV6 @ SV3 @ SV9 )
= $false )
| ( ( ip @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(183,plain,
! [SV10: $i] :
( ( ! [SY21: $i] :
~ ~ ( ~ ( iext @ uri_ex_p @ SV10 @ SY21 )
| ~ ( iext @ uri_ex_q @ SY21 @ SV10 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[177]) ).
thf(184,plain,
! [SV7: $i,SV4: $i,SV1: $i] :
( ( ( ~ ( iext @ uri_rdfs_subPropertyOf @ SV1 @ SV4 )
| ~ ( iext @ uri_rdfs_subPropertyOf @ SV4 @ SV7 ) )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[178]) ).
thf(185,plain,
( ( iext @ uri_ex_p @ uri_ex_s @ sK1_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[179]) ).
thf(186,plain,
( ( iext @ uri_ex_q @ sK1_SX0 @ uri_ex_s )
= $true ),
inference(extcnf_not_neg,[status(thm)],[180]) ).
thf(187,plain,
! [SV8: $i,SV5: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_rdfs_subClassOf @ SV2 @ SV5 )
| ~ ( iext @ uri_rdfs_subClassOf @ SV5 @ SV8 ) )
= $true )
| ( ( iext @ uri_rdfs_subClassOf @ SV2 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[181]) ).
thf(188,plain,
! [SV11: $i,SV10: $i] :
( ( ~ ~ ( ~ ( iext @ uri_ex_p @ SV10 @ SV11 )
| ~ ( iext @ uri_ex_q @ SV11 @ SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(189,plain,
! [SV7: $i,SV4: $i,SV1: $i] :
( ( ( ~ ( iext @ uri_rdfs_subPropertyOf @ SV1 @ SV4 ) )
= $true )
| ( ( ~ ( iext @ uri_rdfs_subPropertyOf @ SV4 @ SV7 ) )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[184]) ).
thf(190,plain,
! [SV8: $i,SV5: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_rdfs_subClassOf @ SV2 @ SV5 ) )
= $true )
| ( ( ~ ( iext @ uri_rdfs_subClassOf @ SV5 @ SV8 ) )
= $true )
| ( ( iext @ uri_rdfs_subClassOf @ SV2 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[187]) ).
thf(191,plain,
! [SV11: $i,SV10: $i] :
( ( ~ ( ~ ( iext @ uri_ex_p @ SV10 @ SV11 )
| ~ ( iext @ uri_ex_q @ SV11 @ SV10 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(192,plain,
! [SV7: $i,SV4: $i,SV1: $i] :
( ( ( iext @ uri_rdfs_subPropertyOf @ SV1 @ SV4 )
= $false )
| ( ( ~ ( iext @ uri_rdfs_subPropertyOf @ SV4 @ SV7 ) )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(193,plain,
! [SV8: $i,SV5: $i,SV2: $i] :
( ( ( iext @ uri_rdfs_subClassOf @ SV2 @ SV5 )
= $false )
| ( ( ~ ( iext @ uri_rdfs_subClassOf @ SV5 @ SV8 ) )
= $true )
| ( ( iext @ uri_rdfs_subClassOf @ SV2 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(194,plain,
! [SV11: $i,SV10: $i] :
( ( ~ ( iext @ uri_ex_p @ SV10 @ SV11 )
| ~ ( iext @ uri_ex_q @ SV11 @ SV10 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[191]) ).
thf(195,plain,
! [SV1: $i,SV7: $i,SV4: $i] :
( ( ( iext @ uri_rdfs_subPropertyOf @ SV4 @ SV7 )
= $false )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV1 @ SV4 )
= $false )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(196,plain,
! [SV2: $i,SV8: $i,SV5: $i] :
( ( ( iext @ uri_rdfs_subClassOf @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdfs_subClassOf @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_rdfs_subClassOf @ SV2 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[193]) ).
thf(197,plain,
! [SV11: $i,SV10: $i] :
( ( ( ~ ( iext @ uri_ex_p @ SV10 @ SV11 ) )
= $true )
| ( ( ~ ( iext @ uri_ex_q @ SV11 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[194]) ).
thf(198,plain,
! [SV11: $i,SV10: $i] :
( ( ( iext @ uri_ex_p @ SV10 @ SV11 )
= $false )
| ( ( ~ ( iext @ uri_ex_q @ SV11 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(199,plain,
! [SV10: $i,SV11: $i] :
( ( ( iext @ uri_ex_q @ SV11 @ SV10 )
= $false )
| ( ( iext @ uri_ex_p @ SV10 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(200,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[182,199,196,195,186,185]) ).
thf(201,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[200]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB002+3 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.18 % Computer : n004.cluster.edu
% 0.10/0.18 % Model : x86_64 x86_64
% 0.10/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18 % Memory : 8046.5625MB
% 0.10/0.18 % OS : Linux 6.8.0-71-generic
% 0.10/0.18 % CPULimit : 300
% 0.10/0.18 % WCLimit : 300
% 0.10/0.18 % DateTime : Tue Oct 6 15:50:54 UTC 2026
% 0.10/0.18 % CPUTime :
% 0.10/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.28
% 0.10/0.28 No.of.Axioms: 4
% 0.10/0.28
% 0.10/0.28 Length.of.Defs: 0
% 0.10/0.28
% 0.10/0.28 Contains.Choice.Funs: false
% 0.10/0.28 ...
% 0.10/0.28
% 0.10/0.28 ********************************
% 0.10/0.28 * All subproblems solved! *
% 0.10/0.28 ********************************
% 0.10/0.28 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:4,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:200,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.10/0.28
% 0.10/0.28 %**** Beginning of derivation protocol ****
% 0.10/0.28 % SZS output start CNFRefutation
% See solution above
% 0.10/0.28
% 0.10/0.28 %**** End of derivation protocol ****
% 0.10/0.28 %**** no. of clauses in derivation: 66 ****
% 0.10/0.28 %**** clause counter: 200 ****
% 0.10/0.28
% 0.10/0.28 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:4,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:200,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------