%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SWB009+2 : 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 : n006.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 10:50:39 AM UTC 2026
% Result : Theorem 0.08s 0.22s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 4
% Syntax : Number of formulae : 101 ( 59 unt; 0 typ; 0 def)
% Number of atoms : 760 ( 184 equ; 0 cnn)
% Maximal formula atoms : 6 ( 7 avg)
% Number of connectives : 1900 ( 516 ~; 256 |; 26 &;1093 @)
% ( 6 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 13 usr; 12 con; 0-4 aty)
% Number of variables : 244 ( 0 ^; 233 !; 11 ?; 244 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_icext,type,
icext: $i > $i > $o ).
thf(tp_iext,type,
iext: $i > $i > $i > $o ).
thf(tp_sK1_SX0,type,
sK1_SX0: $i ).
thf(tp_sK2_SY22,type,
sK2_SY22: $i > $i > $i > $i > $i ).
thf(tp_uri_ex_c,type,
uri_ex_c: $i ).
thf(tp_uri_ex_p,type,
uri_ex_p: $i ).
thf(tp_uri_ex_s,type,
uri_ex_s: $i ).
thf(tp_uri_owl_Class,type,
uri_owl_Class: $i ).
thf(tp_uri_owl_ObjectProperty,type,
uri_owl_ObjectProperty: $i ).
thf(tp_uri_owl_Restriction,type,
uri_owl_Restriction: $i ).
thf(tp_uri_owl_onProperty,type,
uri_owl_onProperty: $i ).
thf(tp_uri_owl_someValuesFrom,type,
uri_owl_someValuesFrom: $i ).
thf(tp_uri_rdf_type,type,
uri_rdf_type: $i ).
thf(1,axiom,
? [BNODE_z: $i] :
( ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_ObjectProperty )
& ( iext @ uri_rdf_type @ uri_ex_c @ uri_owl_Class )
& ( iext @ uri_rdf_type @ uri_ex_s @ BNODE_z )
& ( iext @ uri_rdf_type @ BNODE_z @ uri_owl_Restriction )
& ( iext @ uri_owl_onProperty @ BNODE_z @ uri_ex_p )
& ( iext @ uri_owl_someValuesFrom @ BNODE_z @ uri_ex_c ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_009_Existential_Restriction_Entailments) ).
thf(2,axiom,
! [Z: $i,P: $i,C: $i] :
( ( ( iext @ uri_owl_someValuesFrom @ Z @ C )
& ( iext @ uri_owl_onProperty @ Z @ P ) )
=> ! [X: $i] :
( ( icext @ Z @ X )
<=> ? [Y: $i] :
( ( iext @ P @ X @ Y )
& ( icext @ C @ Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_restrict_somevaluesfrom) ).
thf(3,axiom,
! [X: $i,C: $i] :
( ( iext @ uri_rdf_type @ X @ C )
<=> ( icext @ C @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).
thf(4,conjecture,
? [BNODE_x: $i] :
( ( iext @ uri_ex_p @ uri_ex_s @ BNODE_x )
& ( iext @ uri_rdf_type @ BNODE_x @ uri_ex_c ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_009_Existential_Restriction_Entailments) ).
thf(5,negated_conjecture,
( ( ? [BNODE_x: $i] :
( ( iext @ uri_ex_p @ uri_ex_s @ BNODE_x )
& ( iext @ uri_rdf_type @ BNODE_x @ uri_ex_c ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[4]) ).
thf(6,plain,
( ( ? [BNODE_x: $i] :
( ( iext @ uri_ex_p @ uri_ex_s @ BNODE_x )
& ( iext @ uri_rdf_type @ BNODE_x @ uri_ex_c ) ) )
= $false ),
inference(unfold_def,[status(thm)],[5]) ).
thf(7,plain,
( ( ? [BNODE_z: $i] :
( ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_ObjectProperty )
& ( iext @ uri_rdf_type @ uri_ex_c @ uri_owl_Class )
& ( iext @ uri_rdf_type @ uri_ex_s @ BNODE_z )
& ( iext @ uri_rdf_type @ BNODE_z @ uri_owl_Restriction )
& ( iext @ uri_owl_onProperty @ BNODE_z @ uri_ex_p )
& ( iext @ uri_owl_someValuesFrom @ BNODE_z @ uri_ex_c ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(8,plain,
( ( ! [Z: $i,P: $i,C: $i] :
( ( ( iext @ uri_owl_someValuesFrom @ Z @ C )
& ( iext @ uri_owl_onProperty @ Z @ P ) )
=> ! [X: $i] :
( ( icext @ Z @ X )
<=> ? [Y: $i] :
( ( iext @ P @ X @ Y )
& ( icext @ C @ Y ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(9,plain,
( ( ! [X: $i,C: $i] :
( ( iext @ uri_rdf_type @ X @ C )
<=> ( icext @ C @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(10,plain,
( ( ~ ? [BNODE_x: $i] :
( ( iext @ uri_ex_p @ uri_ex_s @ BNODE_x )
& ( iext @ uri_rdf_type @ BNODE_x @ uri_ex_c ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[6]) ).
thf(11,plain,
( ( ! [X: $i,C: $i] :
( ( iext @ uri_rdf_type @ X @ C )
<=> ( icext @ C @ X ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(12,plain,
( ( ! [Z: $i,P: $i,C: $i] :
( ( ( iext @ uri_owl_someValuesFrom @ Z @ C )
& ( iext @ uri_owl_onProperty @ Z @ P ) )
=> ! [X: $i] :
( ( icext @ Z @ X )
<=> ? [Y: $i] :
( ( iext @ P @ X @ Y )
& ( icext @ C @ Y ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(13,plain,
( ( ? [BNODE_z: $i] :
( ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_ObjectProperty )
& ( iext @ uri_rdf_type @ uri_ex_c @ uri_owl_Class )
& ( iext @ uri_rdf_type @ uri_ex_s @ BNODE_z )
& ( iext @ uri_rdf_type @ BNODE_z @ uri_owl_Restriction )
& ( iext @ uri_owl_onProperty @ BNODE_z @ uri_ex_p )
& ( iext @ uri_owl_someValuesFrom @ BNODE_z @ uri_ex_c ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(14,plain,
( ( ~ ? [BNODE_x: $i] :
( ( iext @ uri_ex_p @ uri_ex_s @ BNODE_x )
& ( iext @ uri_rdf_type @ BNODE_x @ uri_ex_c ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(15,plain,
( ( ~ ~ ! [SX0: $i] :
~ ~ ( ~ ( iext @ uri_ex_p @ uri_ex_s @ SX0 )
| ~ ( iext @ uri_rdf_type @ SX0 @ uri_ex_c ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(16,plain,
( ( ~ ! [SX0: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_ObjectProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_c @ uri_owl_Class ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_s @ SX0 ) )
| ~ ( iext @ uri_rdf_type @ SX0 @ uri_owl_Restriction ) )
| ~ ( iext @ uri_owl_onProperty @ SX0 @ uri_ex_p ) )
| ~ ( iext @ uri_owl_someValuesFrom @ SX0 @ uri_ex_c ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(17,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( iext @ uri_owl_someValuesFrom @ SX0 @ SX2 )
| ~ ( iext @ uri_owl_onProperty @ SX0 @ SX1 ) )
| ! [SX3: $i] :
~ ( ~ ( ~ ( icext @ SX0 @ SX3 )
| ~ ! [SX4: $i] :
~ ~ ( ~ ( iext @ SX1 @ SX3 @ SX4 )
| ~ ( icext @ SX2 @ SX4 ) ) )
| ~ ( ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( iext @ SX1 @ SX3 @ SX4 )
| ~ ( icext @ SX2 @ SX4 ) )
| ( icext @ SX0 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(18,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
| ( icext @ SX1 @ SX0 ) )
| ~ ( ~ ( icext @ SX1 @ SX0 )
| ( iext @ uri_rdf_type @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(19,plain,
( ( ~ ! [SX0: $i] :
~ ~ ( ~ ( iext @ uri_ex_p @ uri_ex_s @ SX0 )
| ~ ( iext @ uri_rdf_type @ SX0 @ uri_ex_c ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[15]) ).
thf(20,plain,
( ( ! [SX0: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_ObjectProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_c @ uri_owl_Class ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_s @ SX0 ) )
| ~ ( iext @ uri_rdf_type @ SX0 @ uri_owl_Restriction ) )
| ~ ( iext @ uri_owl_onProperty @ SX0 @ uri_ex_p ) )
| ~ ( iext @ uri_owl_someValuesFrom @ SX0 @ uri_ex_c ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[16]) ).
thf(21,plain,
! [SV1: $i] :
( ( ! [SY9: $i,SY10: $i] :
( ~ ~ ( ~ ( iext @ uri_owl_someValuesFrom @ SV1 @ SY10 )
| ~ ( iext @ uri_owl_onProperty @ SV1 @ SY9 ) )
| ! [SY11: $i] :
~ ( ~ ( ~ ( icext @ SV1 @ SY11 )
| ~ ! [SX4: $i] :
~ ~ ( ~ ( iext @ SY9 @ SY11 @ SX4 )
| ~ ( icext @ SY10 @ SX4 ) ) )
| ~ ( ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( iext @ SY9 @ SY11 @ SX4 )
| ~ ( icext @ SY10 @ SX4 ) )
| ( icext @ SV1 @ SY11 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[17]) ).
thf(22,plain,
! [SV2: $i] :
( ( ! [SY14: $i] :
~ ( ~ ( ~ ( iext @ uri_rdf_type @ SV2 @ SY14 )
| ( icext @ SY14 @ SV2 ) )
| ~ ( ~ ( icext @ SY14 @ SV2 )
| ( iext @ uri_rdf_type @ SV2 @ SY14 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(23,plain,
( ( ! [SX0: $i] :
~ ~ ( ~ ( iext @ uri_ex_p @ uri_ex_s @ SX0 )
| ~ ( iext @ uri_rdf_type @ SX0 @ uri_ex_c ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[19]) ).
thf(24,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_ObjectProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_c @ uri_owl_Class ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_s @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_type @ sK1_SX0 @ uri_owl_Restriction ) )
| ~ ( iext @ uri_owl_onProperty @ sK1_SX0 @ uri_ex_p ) )
| ~ ( iext @ uri_owl_someValuesFrom @ sK1_SX0 @ uri_ex_c ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[20]) ).
thf(25,plain,
! [SV3: $i,SV1: $i] :
( ( ! [SY15: $i] :
( ~ ~ ( ~ ( iext @ uri_owl_someValuesFrom @ SV1 @ SY15 )
| ~ ( iext @ uri_owl_onProperty @ SV1 @ SV3 ) )
| ! [SY16: $i] :
~ ( ~ ( ~ ( icext @ SV1 @ SY16 )
| ~ ! [SY17: $i] :
~ ~ ( ~ ( iext @ SV3 @ SY16 @ SY17 )
| ~ ( icext @ SY15 @ SY17 ) ) )
| ~ ( ~ ~ ! [SY18: $i] :
~ ~ ( ~ ( iext @ SV3 @ SY16 @ SY18 )
| ~ ( icext @ SY15 @ SY18 ) )
| ( icext @ SV1 @ SY16 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(26,plain,
! [SV4: $i,SV2: $i] :
( ( ~ ( ~ ( ~ ( iext @ uri_rdf_type @ SV2 @ SV4 )
| ( icext @ SV4 @ SV2 ) )
| ~ ( ~ ( icext @ SV4 @ SV2 )
| ( iext @ uri_rdf_type @ SV2 @ SV4 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[22]) ).
thf(27,plain,
! [SV5: $i] :
( ( ~ ~ ( ~ ( iext @ uri_ex_p @ uri_ex_s @ SV5 )
| ~ ( iext @ uri_rdf_type @ SV5 @ uri_ex_c ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[23]) ).
thf(28,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_ObjectProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_c @ uri_owl_Class ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_s @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_type @ sK1_SX0 @ uri_owl_Restriction ) )
| ~ ( iext @ uri_owl_onProperty @ sK1_SX0 @ uri_ex_p ) )
| ~ ( iext @ uri_owl_someValuesFrom @ sK1_SX0 @ uri_ex_c ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[24]) ).
thf(29,plain,
! [SV3: $i,SV6: $i,SV1: $i] :
( ( ~ ~ ( ~ ( iext @ uri_owl_someValuesFrom @ SV1 @ SV6 )
| ~ ( iext @ uri_owl_onProperty @ SV1 @ SV3 ) )
| ! [SY19: $i] :
~ ( ~ ( ~ ( icext @ SV1 @ SY19 )
| ~ ! [SY20: $i] :
~ ~ ( ~ ( iext @ SV3 @ SY19 @ SY20 )
| ~ ( icext @ SV6 @ SY20 ) ) )
| ~ ( ~ ~ ! [SY21: $i] :
~ ~ ( ~ ( iext @ SV3 @ SY19 @ SY21 )
| ~ ( icext @ SV6 @ SY21 ) )
| ( icext @ SV1 @ SY19 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[25]) ).
thf(30,plain,
! [SV4: $i,SV2: $i] :
( ( ~ ( ~ ( iext @ uri_rdf_type @ SV2 @ SV4 )
| ( icext @ SV4 @ SV2 ) )
| ~ ( ~ ( icext @ SV4 @ SV2 )
| ( iext @ uri_rdf_type @ SV2 @ SV4 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(31,plain,
! [SV5: $i] :
( ( ~ ( ~ ( iext @ uri_ex_p @ uri_ex_s @ SV5 )
| ~ ( iext @ uri_rdf_type @ SV5 @ uri_ex_c ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(32,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_ObjectProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_c @ uri_owl_Class ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_s @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_type @ sK1_SX0 @ uri_owl_Restriction ) )
| ~ ( iext @ uri_owl_onProperty @ sK1_SX0 @ uri_ex_p ) )
| ~ ( iext @ uri_owl_someValuesFrom @ sK1_SX0 @ uri_ex_c ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[28]) ).
thf(33,plain,
! [SV3: $i,SV6: $i,SV1: $i] :
( ( ( ~ ~ ( ~ ( iext @ uri_owl_someValuesFrom @ SV1 @ SV6 )
| ~ ( iext @ uri_owl_onProperty @ SV1 @ SV3 ) ) )
= $true )
| ( ( ! [SY19: $i] :
~ ( ~ ( ~ ( icext @ SV1 @ SY19 )
| ~ ! [SY20: $i] :
~ ~ ( ~ ( iext @ SV3 @ SY19 @ SY20 )
| ~ ( icext @ SV6 @ SY20 ) ) )
| ~ ( ~ ~ ! [SY21: $i] :
~ ~ ( ~ ( iext @ SV3 @ SY19 @ SY21 )
| ~ ( icext @ SV6 @ SY21 ) )
| ( icext @ SV1 @ SY19 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[29]) ).
thf(34,plain,
! [SV4: $i,SV2: $i] :
( ( ~ ( ~ ( iext @ uri_rdf_type @ SV2 @ SV4 )
| ( icext @ SV4 @ SV2 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[30]) ).
thf(35,plain,
! [SV2: $i,SV4: $i] :
( ( ~ ( ~ ( icext @ SV4 @ SV2 )
| ( iext @ uri_rdf_type @ SV2 @ SV4 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[30]) ).
thf(36,plain,
! [SV5: $i] :
( ( ~ ( iext @ uri_ex_p @ uri_ex_s @ SV5 )
| ~ ( iext @ uri_rdf_type @ SV5 @ uri_ex_c ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[31]) ).
thf(37,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_ObjectProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_c @ uri_owl_Class ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_s @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_type @ sK1_SX0 @ uri_owl_Restriction ) )
| ~ ( iext @ uri_owl_onProperty @ sK1_SX0 @ uri_ex_p ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[32]) ).
thf(38,plain,
( ( ~ ( iext @ uri_owl_someValuesFrom @ sK1_SX0 @ uri_ex_c ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[32]) ).
thf(39,plain,
! [SV3: $i,SV6: $i,SV1: $i] :
( ( ( ~ ( ~ ( iext @ uri_owl_someValuesFrom @ SV1 @ SV6 )
| ~ ( iext @ uri_owl_onProperty @ SV1 @ SV3 ) ) )
= $false )
| ( ( ! [SY19: $i] :
~ ( ~ ( ~ ( icext @ SV1 @ SY19 )
| ~ ! [SY20: $i] :
~ ~ ( ~ ( iext @ SV3 @ SY19 @ SY20 )
| ~ ( icext @ SV6 @ SY20 ) ) )
| ~ ( ~ ~ ! [SY21: $i] :
~ ~ ( ~ ( iext @ SV3 @ SY19 @ SY21 )
| ~ ( icext @ SV6 @ SY21 ) )
| ( icext @ SV1 @ SY19 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(40,plain,
! [SV4: $i,SV2: $i] :
( ( ~ ( iext @ uri_rdf_type @ SV2 @ SV4 )
| ( icext @ SV4 @ SV2 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[34]) ).
thf(41,plain,
! [SV2: $i,SV4: $i] :
( ( ~ ( icext @ SV4 @ SV2 )
| ( iext @ uri_rdf_type @ SV2 @ SV4 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[35]) ).
thf(42,plain,
! [SV5: $i] :
( ( ( ~ ( iext @ uri_ex_p @ uri_ex_s @ SV5 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_type @ SV5 @ uri_ex_c ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[36]) ).
thf(43,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_ObjectProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_c @ uri_owl_Class ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_s @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_type @ sK1_SX0 @ uri_owl_Restriction ) )
| ~ ( iext @ uri_owl_onProperty @ sK1_SX0 @ uri_ex_p ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[37]) ).
thf(44,plain,
( ( iext @ uri_owl_someValuesFrom @ sK1_SX0 @ uri_ex_c )
= $true ),
inference(extcnf_not_neg,[status(thm)],[38]) ).
thf(45,plain,
! [SV3: $i,SV6: $i,SV1: $i] :
( ( ( ~ ( iext @ uri_owl_someValuesFrom @ SV1 @ SV6 )
| ~ ( iext @ uri_owl_onProperty @ SV1 @ SV3 ) )
= $true )
| ( ( ! [SY19: $i] :
~ ( ~ ( ~ ( icext @ SV1 @ SY19 )
| ~ ! [SY20: $i] :
~ ~ ( ~ ( iext @ SV3 @ SY19 @ SY20 )
| ~ ( icext @ SV6 @ SY20 ) ) )
| ~ ( ~ ~ ! [SY21: $i] :
~ ~ ( ~ ( iext @ SV3 @ SY19 @ SY21 )
| ~ ( icext @ SV6 @ SY21 ) )
| ( icext @ SV1 @ SY19 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[39]) ).
thf(46,plain,
! [SV4: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_rdf_type @ SV2 @ SV4 ) )
= $true )
| ( ( icext @ SV4 @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[40]) ).
thf(47,plain,
! [SV2: $i,SV4: $i] :
( ( ( ~ ( icext @ SV4 @ SV2 ) )
= $true )
| ( ( iext @ uri_rdf_type @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[41]) ).
thf(48,plain,
! [SV5: $i] :
( ( ( iext @ uri_ex_p @ uri_ex_s @ SV5 )
= $false )
| ( ( ~ ( iext @ uri_rdf_type @ SV5 @ uri_ex_c ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(49,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_ObjectProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_c @ uri_owl_Class ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_s @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_type @ sK1_SX0 @ uri_owl_Restriction ) )
| ~ ( iext @ uri_owl_onProperty @ sK1_SX0 @ uri_ex_p ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(50,plain,
! [SV3: $i,SV6: $i,SV1: $i] :
( ( ( ~ ( iext @ uri_owl_someValuesFrom @ SV1 @ SV6 ) )
= $true )
| ( ( ~ ( iext @ uri_owl_onProperty @ SV1 @ SV3 ) )
= $true )
| ( ( ! [SY19: $i] :
~ ( ~ ( ~ ( icext @ SV1 @ SY19 )
| ~ ! [SY20: $i] :
~ ~ ( ~ ( iext @ SV3 @ SY19 @ SY20 )
| ~ ( icext @ SV6 @ SY20 ) ) )
| ~ ( ~ ~ ! [SY21: $i] :
~ ~ ( ~ ( iext @ SV3 @ SY19 @ SY21 )
| ~ ( icext @ SV6 @ SY21 ) )
| ( icext @ SV1 @ SY19 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[45]) ).
thf(51,plain,
! [SV4: $i,SV2: $i] :
( ( ( iext @ uri_rdf_type @ SV2 @ SV4 )
= $false )
| ( ( icext @ SV4 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(52,plain,
! [SV2: $i,SV4: $i] :
( ( ( icext @ SV4 @ SV2 )
= $false )
| ( ( iext @ uri_rdf_type @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(53,plain,
! [SV5: $i] :
( ( ( iext @ uri_rdf_type @ SV5 @ uri_ex_c )
= $false )
| ( ( iext @ uri_ex_p @ uri_ex_s @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(54,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_ObjectProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_c @ uri_owl_Class ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_s @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_type @ sK1_SX0 @ uri_owl_Restriction ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[49]) ).
thf(55,plain,
( ( ~ ( iext @ uri_owl_onProperty @ sK1_SX0 @ uri_ex_p ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[49]) ).
thf(56,plain,
! [SV3: $i,SV6: $i,SV1: $i] :
( ( ( iext @ uri_owl_someValuesFrom @ SV1 @ SV6 )
= $false )
| ( ( ~ ( iext @ uri_owl_onProperty @ SV1 @ SV3 ) )
= $true )
| ( ( ! [SY19: $i] :
~ ( ~ ( ~ ( icext @ SV1 @ SY19 )
| ~ ! [SY20: $i] :
~ ~ ( ~ ( iext @ SV3 @ SY19 @ SY20 )
| ~ ( icext @ SV6 @ SY20 ) ) )
| ~ ( ~ ~ ! [SY21: $i] :
~ ~ ( ~ ( iext @ SV3 @ SY19 @ SY21 )
| ~ ( icext @ SV6 @ SY21 ) )
| ( icext @ SV1 @ SY19 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(57,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_ObjectProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_c @ uri_owl_Class ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_s @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_type @ sK1_SX0 @ uri_owl_Restriction ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[54]) ).
thf(58,plain,
( ( iext @ uri_owl_onProperty @ sK1_SX0 @ uri_ex_p )
= $true ),
inference(extcnf_not_neg,[status(thm)],[55]) ).
thf(59,plain,
! [SV6: $i,SV3: $i,SV1: $i] :
( ( ( iext @ uri_owl_onProperty @ SV1 @ SV3 )
= $false )
| ( ( iext @ uri_owl_someValuesFrom @ SV1 @ SV6 )
= $false )
| ( ( ! [SY19: $i] :
~ ( ~ ( ~ ( icext @ SV1 @ SY19 )
| ~ ! [SY20: $i] :
~ ~ ( ~ ( iext @ SV3 @ SY19 @ SY20 )
| ~ ( icext @ SV6 @ SY20 ) ) )
| ~ ( ~ ~ ! [SY21: $i] :
~ ~ ( ~ ( iext @ SV3 @ SY19 @ SY21 )
| ~ ( icext @ SV6 @ SY21 ) )
| ( icext @ SV1 @ SY19 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(60,plain,
( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_ObjectProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_c @ uri_owl_Class ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_s @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_type @ sK1_SX0 @ uri_owl_Restriction ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(61,plain,
! [SV6: $i,SV3: $i,SV7: $i,SV1: $i] :
( ( ( ~ ( ~ ( ~ ( icext @ SV1 @ SV7 )
| ~ ! [SY22: $i] :
~ ~ ( ~ ( iext @ SV3 @ SV7 @ SY22 )
| ~ ( icext @ SV6 @ SY22 ) ) )
| ~ ( ~ ~ ! [SY23: $i] :
~ ~ ( ~ ( iext @ SV3 @ SV7 @ SY23 )
| ~ ( icext @ SV6 @ SY23 ) )
| ( icext @ SV1 @ SV7 ) ) ) )
= $true )
| ( ( iext @ uri_owl_someValuesFrom @ SV1 @ SV6 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(62,plain,
( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_ObjectProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_c @ uri_owl_Class ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_s @ sK1_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[60]) ).
thf(63,plain,
( ( ~ ( iext @ uri_rdf_type @ sK1_SX0 @ uri_owl_Restriction ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[60]) ).
thf(64,plain,
! [SV6: $i,SV3: $i,SV7: $i,SV1: $i] :
( ( ( ~ ( ~ ( icext @ SV1 @ SV7 )
| ~ ! [SY22: $i] :
~ ~ ( ~ ( iext @ SV3 @ SV7 @ SY22 )
| ~ ( icext @ SV6 @ SY22 ) ) )
| ~ ( ~ ~ ! [SY23: $i] :
~ ~ ( ~ ( iext @ SV3 @ SV7 @ SY23 )
| ~ ( icext @ SV6 @ SY23 ) )
| ( icext @ SV1 @ SV7 ) ) )
= $false )
| ( ( iext @ uri_owl_someValuesFrom @ SV1 @ SV6 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(65,plain,
( ( ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_ObjectProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_c @ uri_owl_Class ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_s @ sK1_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(66,plain,
( ( iext @ uri_rdf_type @ sK1_SX0 @ uri_owl_Restriction )
= $true ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(67,plain,
! [SV6: $i,SV3: $i,SV7: $i,SV1: $i] :
( ( ( ~ ( ~ ( icext @ SV1 @ SV7 )
| ~ ! [SY22: $i] :
~ ~ ( ~ ( iext @ SV3 @ SV7 @ SY22 )
| ~ ( icext @ SV6 @ SY22 ) ) ) )
= $false )
| ( ( iext @ uri_owl_someValuesFrom @ SV1 @ SV6 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[64]) ).
thf(68,plain,
! [SV1: $i,SV6: $i,SV7: $i,SV3: $i] :
( ( ( ~ ( ~ ~ ! [SY23: $i] :
~ ~ ( ~ ( iext @ SV3 @ SV7 @ SY23 )
| ~ ( icext @ SV6 @ SY23 ) )
| ( icext @ SV1 @ SV7 ) ) )
= $false )
| ( ( iext @ uri_owl_someValuesFrom @ SV1 @ SV6 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[64]) ).
thf(69,plain,
( ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_ObjectProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_c @ uri_owl_Class ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_s @ sK1_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(70,plain,
! [SV6: $i,SV3: $i,SV7: $i,SV1: $i] :
( ( ( ~ ( icext @ SV1 @ SV7 )
| ~ ! [SY22: $i] :
~ ~ ( ~ ( iext @ SV3 @ SV7 @ SY22 )
| ~ ( icext @ SV6 @ SY22 ) ) )
= $true )
| ( ( iext @ uri_owl_someValuesFrom @ SV1 @ SV6 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[67]) ).
thf(71,plain,
! [SV1: $i,SV6: $i,SV7: $i,SV3: $i] :
( ( ( ~ ~ ! [SY23: $i] :
~ ~ ( ~ ( iext @ SV3 @ SV7 @ SY23 )
| ~ ( icext @ SV6 @ SY23 ) )
| ( icext @ SV1 @ SV7 ) )
= $true )
| ( ( iext @ uri_owl_someValuesFrom @ SV1 @ SV6 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[68]) ).
thf(72,plain,
( ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_ObjectProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_c @ uri_owl_Class ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[69]) ).
thf(73,plain,
( ( ~ ( iext @ uri_rdf_type @ uri_ex_s @ sK1_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[69]) ).
thf(74,plain,
! [SV6: $i,SV3: $i,SV7: $i,SV1: $i] :
( ( ( ~ ( icext @ SV1 @ SV7 ) )
= $true )
| ( ( ~ ! [SY22: $i] :
~ ~ ( ~ ( iext @ SV3 @ SV7 @ SY22 )
| ~ ( icext @ SV6 @ SY22 ) ) )
= $true )
| ( ( iext @ uri_owl_someValuesFrom @ SV1 @ SV6 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[70]) ).
thf(75,plain,
! [SV1: $i,SV6: $i,SV7: $i,SV3: $i] :
( ( ( ~ ~ ! [SY23: $i] :
~ ~ ( ~ ( iext @ SV3 @ SV7 @ SY23 )
| ~ ( icext @ SV6 @ SY23 ) ) )
= $true )
| ( ( icext @ SV1 @ SV7 )
= $true )
| ( ( iext @ uri_owl_someValuesFrom @ SV1 @ SV6 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[71]) ).
thf(76,plain,
( ( ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_ObjectProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_c @ uri_owl_Class ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[72]) ).
thf(77,plain,
( ( iext @ uri_rdf_type @ uri_ex_s @ sK1_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[73]) ).
thf(78,plain,
! [SV6: $i,SV3: $i,SV7: $i,SV1: $i] :
( ( ( icext @ SV1 @ SV7 )
= $false )
| ( ( ~ ! [SY22: $i] :
~ ~ ( ~ ( iext @ SV3 @ SV7 @ SY22 )
| ~ ( icext @ SV6 @ SY22 ) ) )
= $true )
| ( ( iext @ uri_owl_someValuesFrom @ SV1 @ SV6 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(79,plain,
! [SV1: $i,SV6: $i,SV7: $i,SV3: $i] :
( ( ( ~ ! [SY23: $i] :
~ ~ ( ~ ( iext @ SV3 @ SV7 @ SY23 )
| ~ ( icext @ SV6 @ SY23 ) ) )
= $false )
| ( ( icext @ SV1 @ SV7 )
= $true )
| ( ( iext @ uri_owl_someValuesFrom @ SV1 @ SV6 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(80,plain,
( ( ~ ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_ObjectProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_c @ uri_owl_Class ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(81,plain,
! [SV1: $i,SV6: $i,SV7: $i,SV3: $i] :
( ( ( ! [SY22: $i] :
~ ~ ( ~ ( iext @ SV3 @ SV7 @ SY22 )
| ~ ( icext @ SV6 @ SY22 ) ) )
= $false )
| ( ( icext @ SV1 @ SV7 )
= $false )
| ( ( iext @ uri_owl_someValuesFrom @ SV1 @ SV6 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(82,plain,
! [SV1: $i,SV6: $i,SV7: $i,SV3: $i] :
( ( ( ! [SY23: $i] :
~ ~ ( ~ ( iext @ SV3 @ SV7 @ SY23 )
| ~ ( icext @ SV6 @ SY23 ) ) )
= $true )
| ( ( icext @ SV1 @ SV7 )
= $true )
| ( ( iext @ uri_owl_someValuesFrom @ SV1 @ SV6 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[79]) ).
thf(83,plain,
( ( ~ ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_ObjectProperty ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[80]) ).
thf(84,plain,
( ( ~ ( iext @ uri_rdf_type @ uri_ex_c @ uri_owl_Class ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[80]) ).
thf(85,plain,
! [SV6: $i,SV1: $i,SV7: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( iext @ SV3 @ SV7 @ ( sK2_SY22 @ SV1 @ SV6 @ SV7 @ SV3 ) )
| ~ ( icext @ SV6 @ ( sK2_SY22 @ SV1 @ SV6 @ SV7 @ SV3 ) ) ) )
= $false )
| ( ( icext @ SV1 @ SV7 )
= $false )
| ( ( iext @ uri_owl_someValuesFrom @ SV1 @ SV6 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[81]) ).
thf(86,plain,
! [SV1: $i,SV6: $i,SV8: $i,SV7: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( iext @ SV3 @ SV7 @ SV8 )
| ~ ( icext @ SV6 @ SV8 ) ) )
= $true )
| ( ( icext @ SV1 @ SV7 )
= $true )
| ( ( iext @ uri_owl_someValuesFrom @ SV1 @ SV6 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(87,plain,
( ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_ObjectProperty )
= $true ),
inference(extcnf_not_neg,[status(thm)],[83]) ).
thf(88,plain,
( ( iext @ uri_rdf_type @ uri_ex_c @ uri_owl_Class )
= $true ),
inference(extcnf_not_neg,[status(thm)],[84]) ).
thf(89,plain,
! [SV6: $i,SV1: $i,SV7: $i,SV3: $i] :
( ( ( ~ ( ~ ( iext @ SV3 @ SV7 @ ( sK2_SY22 @ SV1 @ SV6 @ SV7 @ SV3 ) )
| ~ ( icext @ SV6 @ ( sK2_SY22 @ SV1 @ SV6 @ SV7 @ SV3 ) ) ) )
= $true )
| ( ( icext @ SV1 @ SV7 )
= $false )
| ( ( iext @ uri_owl_someValuesFrom @ SV1 @ SV6 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[85]) ).
thf(90,plain,
! [SV1: $i,SV6: $i,SV8: $i,SV7: $i,SV3: $i] :
( ( ( ~ ( ~ ( iext @ SV3 @ SV7 @ SV8 )
| ~ ( icext @ SV6 @ SV8 ) ) )
= $false )
| ( ( icext @ SV1 @ SV7 )
= $true )
| ( ( iext @ uri_owl_someValuesFrom @ SV1 @ SV6 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[86]) ).
thf(91,plain,
! [SV6: $i,SV1: $i,SV7: $i,SV3: $i] :
( ( ( ~ ( iext @ SV3 @ SV7 @ ( sK2_SY22 @ SV1 @ SV6 @ SV7 @ SV3 ) )
| ~ ( icext @ SV6 @ ( sK2_SY22 @ SV1 @ SV6 @ SV7 @ SV3 ) ) )
= $false )
| ( ( icext @ SV1 @ SV7 )
= $false )
| ( ( iext @ uri_owl_someValuesFrom @ SV1 @ SV6 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(92,plain,
! [SV1: $i,SV6: $i,SV8: $i,SV7: $i,SV3: $i] :
( ( ( ~ ( iext @ SV3 @ SV7 @ SV8 )
| ~ ( icext @ SV6 @ SV8 ) )
= $true )
| ( ( icext @ SV1 @ SV7 )
= $true )
| ( ( iext @ uri_owl_someValuesFrom @ SV1 @ SV6 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[90]) ).
thf(93,plain,
! [SV6: $i,SV1: $i,SV7: $i,SV3: $i] :
( ( ( ~ ( iext @ SV3 @ SV7 @ ( sK2_SY22 @ SV1 @ SV6 @ SV7 @ SV3 ) ) )
= $false )
| ( ( icext @ SV1 @ SV7 )
= $false )
| ( ( iext @ uri_owl_someValuesFrom @ SV1 @ SV6 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[91]) ).
thf(94,plain,
! [SV3: $i,SV7: $i,SV1: $i,SV6: $i] :
( ( ( ~ ( icext @ SV6 @ ( sK2_SY22 @ SV1 @ SV6 @ SV7 @ SV3 ) ) )
= $false )
| ( ( icext @ SV1 @ SV7 )
= $false )
| ( ( iext @ uri_owl_someValuesFrom @ SV1 @ SV6 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[91]) ).
thf(95,plain,
! [SV1: $i,SV6: $i,SV8: $i,SV7: $i,SV3: $i] :
( ( ( ~ ( iext @ SV3 @ SV7 @ SV8 ) )
= $true )
| ( ( ~ ( icext @ SV6 @ SV8 ) )
= $true )
| ( ( icext @ SV1 @ SV7 )
= $true )
| ( ( iext @ uri_owl_someValuesFrom @ SV1 @ SV6 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[92]) ).
thf(96,plain,
! [SV6: $i,SV1: $i,SV7: $i,SV3: $i] :
( ( ( iext @ SV3 @ SV7 @ ( sK2_SY22 @ SV1 @ SV6 @ SV7 @ SV3 ) )
= $true )
| ( ( icext @ SV1 @ SV7 )
= $false )
| ( ( iext @ uri_owl_someValuesFrom @ SV1 @ SV6 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[93]) ).
thf(97,plain,
! [SV3: $i,SV7: $i,SV1: $i,SV6: $i] :
( ( ( icext @ SV6 @ ( sK2_SY22 @ SV1 @ SV6 @ SV7 @ SV3 ) )
= $true )
| ( ( icext @ SV1 @ SV7 )
= $false )
| ( ( iext @ uri_owl_someValuesFrom @ SV1 @ SV6 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[94]) ).
thf(98,plain,
! [SV1: $i,SV6: $i,SV8: $i,SV7: $i,SV3: $i] :
( ( ( iext @ SV3 @ SV7 @ SV8 )
= $false )
| ( ( ~ ( icext @ SV6 @ SV8 ) )
= $true )
| ( ( icext @ SV1 @ SV7 )
= $true )
| ( ( iext @ uri_owl_someValuesFrom @ SV1 @ SV6 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(99,plain,
! [SV1: $i,SV7: $i,SV3: $i,SV8: $i,SV6: $i] :
( ( ( icext @ SV6 @ SV8 )
= $false )
| ( ( iext @ SV3 @ SV7 @ SV8 )
= $false )
| ( ( icext @ SV1 @ SV7 )
= $true )
| ( ( iext @ uri_owl_someValuesFrom @ SV1 @ SV6 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(100,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[44,99,97,96,88,87,77,66,58,53,52,51]) ).
thf(101,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB009+2 : 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
% 0.08/0.16 % Computer : n006.cluster.edu
% 0.08/0.16 % Model : x86_64 x86_64
% 0.08/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.16 % Memory : 8046.5625MB
% 0.08/0.16 % OS : Linux 6.8.0-71-generic
% 0.08/0.16 % CPULimit : 300
% 0.08/0.16 % WCLimit : 300
% 0.08/0.16 % DateTime : Tue Oct 6 15:50:52 UTC 2026
% 0.08/0.16 % CPUTime :
% 0.08/0.16 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.22
% 0.08/0.22 No.of.Axioms: 3
% 0.08/0.22
% 0.08/0.22 Length.of.Defs: 0
% 0.08/0.22
% 0.08/0.22 Contains.Choice.Funs: false
% 0.08/0.22 ...
% 0.08/0.22
% 0.08/0.22 ********************************
% 0.08/0.22 * All subproblems solved! *
% 0.08/0.22 ********************************
% 0.08/0.22 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:3,ps:3,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:100,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.08/0.22
% 0.08/0.22 %**** Beginning of derivation protocol ****
% 0.08/0.22 % SZS output start CNFRefutation
% See solution above
% 0.08/0.22
% 0.08/0.22 %**** End of derivation protocol ****
% 0.08/0.22 %**** no. of clauses in derivation: 101 ****
% 0.08/0.22 %**** clause counter: 100 ****
% 0.08/0.22
% 0.08/0.22 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:3,ps:3,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:100,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------