%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SWB010+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 : 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 10:50:40 AM UTC 2026
% Result : Theorem 0.97s 0.46s
% Output : CNFRefutation 0.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 10
% Syntax : Number of formulae : 270 ( 141 unt; 0 typ; 0 def)
% Number of atoms : 2414 ( 655 equ; 0 cnn)
% Maximal formula atoms : 8 ( 8 avg)
% Number of connectives : 5582 (1066 ~; 902 |; 92 &;3498 @)
% ( 10 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 32 ( 29 usr; 23 con; 0-4 aty)
% Number of variables : 785 ( 0 ^; 771 !; 14 ?; 785 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_ic,type,
ic: $i > $o ).
thf(tp_icext,type,
icext: $i > $i > $o ).
thf(tp_iext,type,
iext: $i > $i > $i > $o ).
thf(tp_ip,type,
ip: $i > $o ).
thf(tp_ir,type,
ir: $i > $o ).
thf(tp_sK1_BNODE_x1,type,
sK1_BNODE_x1: $i ).
thf(tp_sK2_SY28,type,
sK2_SY28: $i ).
thf(tp_sK3_SY31,type,
sK3_SY31: $i ).
thf(tp_sK4_SY33,type,
sK4_SY33: $i ).
thf(tp_sK5_Z,type,
sK5_Z: $i > $i > $i > $i ).
thf(tp_sK6_Y,type,
sK6_Y: $i > $i > $i > $i > $i ).
thf(tp_sK7_X,type,
sK7_X: $i > $i > $i > $i ).
thf(tp_uri_ex_o,type,
uri_ex_o: $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_NegativePropertyAssertion,type,
uri_owl_NegativePropertyAssertion: $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_allValuesFrom,type,
uri_owl_allValuesFrom: $i ).
thf(tp_uri_owl_assertionProperty,type,
uri_owl_assertionProperty: $i ).
thf(tp_uri_owl_complementOf,type,
uri_owl_complementOf: $i ).
thf(tp_uri_owl_onProperty,type,
uri_owl_onProperty: $i ).
thf(tp_uri_owl_oneOf,type,
uri_owl_oneOf: $i ).
thf(tp_uri_owl_sourceIndividual,type,
uri_owl_sourceIndividual: $i ).
thf(tp_uri_owl_targetIndividual,type,
uri_owl_targetIndividual: $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_rest,type,
uri_rdf_rest: $i ).
thf(tp_uri_rdf_type,type,
uri_rdf_type: $i ).
thf(1,axiom,
? [BNODE_x1: $i,BNODE_x2: $i,BNODE_x3: $i,BNODE_x4: $i] :
( ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_ObjectProperty )
& ( iext @ uri_rdf_type @ uri_ex_s @ BNODE_x1 )
& ( iext @ uri_owl_onProperty @ BNODE_x1 @ uri_ex_p )
& ( iext @ uri_owl_allValuesFrom @ BNODE_x1 @ BNODE_x2 )
& ( iext @ uri_owl_complementOf @ BNODE_x2 @ BNODE_x3 )
& ( iext @ uri_owl_oneOf @ BNODE_x3 @ BNODE_x4 )
& ( iext @ uri_rdf_first @ BNODE_x4 @ uri_ex_o )
& ( iext @ uri_rdf_rest @ BNODE_x4 @ uri_rdf_nil ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_010_Negative_Property_Assertions) ).
thf(2,axiom,
! [P: $i,A1: $i,A2: $i] :
( ( ( ir @ A1 )
& ( ip @ P )
& ( ir @ A2 )
& ~ ( iext @ P @ A1 @ A2 ) )
=> ? [Z: $i] :
( ( iext @ uri_owl_sourceIndividual @ Z @ A1 )
& ( iext @ uri_owl_assertionProperty @ Z @ P )
& ( iext @ uri_owl_targetIndividual @ Z @ A2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_npa_object_fi) ).
thf(3,axiom,
! [Z: $i,P: $i,C: $i] :
( ( ( iext @ uri_owl_allValuesFrom @ 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_allvaluesfrom) ).
thf(4,axiom,
! [Z: $i,S1: $i,A1: $i] :
( ( ( iext @ uri_rdf_first @ S1 @ A1 )
& ( iext @ uri_rdf_rest @ S1 @ uri_rdf_nil ) )
=> ( ( iext @ uri_owl_oneOf @ Z @ S1 )
<=> ( ( ic @ Z )
& ! [X: $i] :
( ( icext @ Z @ X )
<=> ( X = A1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_enum_class_001) ).
thf(5,axiom,
! [Z: $i,C: $i] :
( ( iext @ uri_owl_complementOf @ Z @ C )
=> ( ( ic @ Z )
& ( ic @ C )
& ! [X: $i] :
( ( icext @ Z @ X )
<=> ~ ( icext @ C @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_complementof_class) ).
thf(6,axiom,
! [X: $i,Y: $i] :
( ( iext @ uri_owl_onProperty @ X @ Y )
=> ( ( icext @ uri_owl_Restriction @ X )
& ( ip @ Y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_onproperty_ext) ).
thf(7,axiom,
! [X: $i,Y: $i] :
( ( iext @ uri_owl_sourceIndividual @ X @ Y )
=> ( ( icext @ uri_owl_NegativePropertyAssertion @ X )
& ( ir @ Y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_sourceindividual_ext) ).
thf(8,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(9,axiom,
! [X: $i] : ( ir @ X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',simple_ir) ).
thf(10,conjecture,
? [BNODE_z: $i] :
( ( iext @ uri_rdf_type @ BNODE_z @ uri_owl_NegativePropertyAssertion )
& ( iext @ uri_owl_sourceIndividual @ BNODE_z @ uri_ex_s )
& ( iext @ uri_owl_assertionProperty @ BNODE_z @ uri_ex_p )
& ( iext @ uri_owl_targetIndividual @ BNODE_z @ uri_ex_o ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_010_Negative_Property_Assertions) ).
thf(11,negated_conjecture,
( ( ? [BNODE_z: $i] :
( ( iext @ uri_rdf_type @ BNODE_z @ uri_owl_NegativePropertyAssertion )
& ( iext @ uri_owl_sourceIndividual @ BNODE_z @ uri_ex_s )
& ( iext @ uri_owl_assertionProperty @ BNODE_z @ uri_ex_p )
& ( iext @ uri_owl_targetIndividual @ BNODE_z @ uri_ex_o ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[10]) ).
thf(12,plain,
( ( ? [BNODE_z: $i] :
( ( iext @ uri_rdf_type @ BNODE_z @ uri_owl_NegativePropertyAssertion )
& ( iext @ uri_owl_sourceIndividual @ BNODE_z @ uri_ex_s )
& ( iext @ uri_owl_assertionProperty @ BNODE_z @ uri_ex_p )
& ( iext @ uri_owl_targetIndividual @ BNODE_z @ uri_ex_o ) ) )
= $false ),
inference(unfold_def,[status(thm)],[11]) ).
thf(13,plain,
( ( ? [BNODE_x1: $i,BNODE_x2: $i,BNODE_x3: $i,BNODE_x4: $i] :
( ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_ObjectProperty )
& ( iext @ uri_rdf_type @ uri_ex_s @ BNODE_x1 )
& ( iext @ uri_owl_onProperty @ BNODE_x1 @ uri_ex_p )
& ( iext @ uri_owl_allValuesFrom @ BNODE_x1 @ BNODE_x2 )
& ( iext @ uri_owl_complementOf @ BNODE_x2 @ BNODE_x3 )
& ( iext @ uri_owl_oneOf @ BNODE_x3 @ BNODE_x4 )
& ( iext @ uri_rdf_first @ BNODE_x4 @ uri_ex_o )
& ( iext @ uri_rdf_rest @ BNODE_x4 @ uri_rdf_nil ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(14,plain,
( ( ! [P: $i,A1: $i,A2: $i] :
( ( ( ir @ A1 )
& ( ip @ P )
& ( ir @ A2 )
& ~ ( iext @ P @ A1 @ A2 ) )
=> ? [Z: $i] :
( ( iext @ uri_owl_sourceIndividual @ Z @ A1 )
& ( iext @ uri_owl_assertionProperty @ Z @ P )
& ( iext @ uri_owl_targetIndividual @ Z @ A2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(15,plain,
( ( ! [Z: $i,P: $i,C: $i] :
( ( ( iext @ uri_owl_allValuesFrom @ 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)],[3]) ).
thf(16,plain,
( ( ! [Z: $i,S1: $i,A1: $i] :
( ( ( iext @ uri_rdf_first @ S1 @ A1 )
& ( iext @ uri_rdf_rest @ S1 @ uri_rdf_nil ) )
=> ( ( iext @ uri_owl_oneOf @ Z @ S1 )
<=> ( ( ic @ Z )
& ! [X: $i] :
( ( icext @ Z @ X )
<=> ( X = A1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(17,plain,
( ( ! [Z: $i,C: $i] :
( ( iext @ uri_owl_complementOf @ Z @ C )
=> ( ( ic @ Z )
& ( ic @ C )
& ! [X: $i] :
( ( icext @ Z @ X )
<=> ~ ( icext @ C @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(18,plain,
( ( ! [X: $i,Y: $i] :
( ( iext @ uri_owl_onProperty @ X @ Y )
=> ( ( icext @ uri_owl_Restriction @ X )
& ( ip @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(19,plain,
( ( ! [X: $i,Y: $i] :
( ( iext @ uri_owl_sourceIndividual @ X @ Y )
=> ( ( icext @ uri_owl_NegativePropertyAssertion @ X )
& ( ir @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(20,plain,
( ( ! [X: $i,C: $i] :
( ( iext @ uri_rdf_type @ X @ C )
<=> ( icext @ C @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(21,plain,
( ( ! [X: $i] : ( ir @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(22,plain,
( ( ~ ? [BNODE_z: $i] :
( ( iext @ uri_rdf_type @ BNODE_z @ uri_owl_NegativePropertyAssertion )
& ( iext @ uri_owl_sourceIndividual @ BNODE_z @ uri_ex_s )
& ( iext @ uri_owl_assertionProperty @ BNODE_z @ uri_ex_p )
& ( iext @ uri_owl_targetIndividual @ BNODE_z @ uri_ex_o ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[12]) ).
thf(23,plain,
( ( ! [BNODE_z: $i] :
( ~ ( iext @ uri_rdf_type @ BNODE_z @ uri_owl_NegativePropertyAssertion )
| ~ ( iext @ uri_owl_sourceIndividual @ BNODE_z @ uri_ex_s )
| ~ ( iext @ uri_owl_assertionProperty @ BNODE_z @ uri_ex_p )
| ~ ( iext @ uri_owl_targetIndividual @ BNODE_z @ uri_ex_o ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[22]) ).
thf(24,plain,
( ( ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_ObjectProperty )
& ( iext @ uri_rdf_type @ uri_ex_s @ sK1_BNODE_x1 )
& ( iext @ uri_owl_onProperty @ sK1_BNODE_x1 @ uri_ex_p )
& ( iext @ uri_owl_allValuesFrom @ sK1_BNODE_x1 @ sK2_SY28 )
& ( iext @ uri_owl_complementOf @ sK2_SY28 @ sK3_SY31 )
& ( iext @ uri_owl_oneOf @ sK3_SY31 @ sK4_SY33 )
& ( iext @ uri_rdf_first @ sK4_SY33 @ uri_ex_o )
& ( iext @ uri_rdf_rest @ sK4_SY33 @ uri_rdf_nil ) )
= $true ),
inference(extcnf_combined,[status(esa)],[13]) ).
thf(25,plain,
( ( ! [P: $i,A1: $i,A2: $i] :
( ~ ( ip @ P )
| ~ ( ir @ A1 )
| ~ ( ir @ A2 )
| ( iext @ P @ A1 @ A2 )
| ( ( iext @ uri_owl_sourceIndividual @ ( sK5_Z @ A2 @ A1 @ P ) @ A1 )
& ( iext @ uri_owl_assertionProperty @ ( sK5_Z @ A2 @ A1 @ P ) @ P )
& ( iext @ uri_owl_targetIndividual @ ( sK5_Z @ A2 @ A1 @ P ) @ A2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[14]) ).
thf(26,plain,
( ( ! [Z: $i,P: $i,C: $i] :
( ~ ( iext @ uri_owl_allValuesFrom @ Z @ C )
| ~ ( iext @ uri_owl_onProperty @ Z @ P )
| ( ! [X: $i] :
( ( ( iext @ P @ X @ ( sK6_Y @ X @ C @ P @ Z ) )
& ~ ( icext @ C @ ( sK6_Y @ X @ C @ P @ Z ) ) )
| ( icext @ Z @ X ) )
& ! [X: $i] :
( ~ ( icext @ Z @ X )
| ! [Y: $i] :
( ~ ( iext @ P @ X @ Y )
| ( icext @ C @ Y ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[15]) ).
thf(27,plain,
( ( ! [Z: $i] :
( ! [S1: $i,A1: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ A1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ uri_rdf_nil )
| ( ( ( ( sK7_X @ A1 @ S1 @ Z )
!= A1 )
| ~ ( icext @ Z @ ( sK7_X @ A1 @ S1 @ Z ) ) )
& ( ( ( sK7_X @ A1 @ S1 @ Z )
= A1 )
| ( icext @ Z @ ( sK7_X @ A1 @ S1 @ Z ) ) ) )
| ~ ( ic @ Z )
| ( iext @ uri_owl_oneOf @ Z @ S1 ) )
& ! [S1: $i,A1: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ A1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ Z @ S1 )
| ( ! [X: $i] :
( ( X != A1 )
| ( icext @ Z @ X ) )
& ! [X: $i] :
( ~ ( icext @ Z @ X )
| ( X = A1 ) ) ) )
& ! [S1: $i] :
( ! [A1: $i] :
~ ( iext @ uri_rdf_first @ S1 @ A1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ Z @ S1 )
| ( ic @ Z ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[16]) ).
thf(28,plain,
( ( ! [Z: $i,C: $i] :
( ~ ( iext @ uri_owl_complementOf @ Z @ C )
| ( ! [X: $i] :
( ~ ( icext @ Z @ X )
| ~ ( icext @ C @ X ) )
& ! [X: $i] :
( ( icext @ C @ X )
| ( icext @ Z @ X ) ) ) )
& ! [Z: $i] :
( ! [C: $i] :
~ ( iext @ uri_owl_complementOf @ Z @ C )
| ( ic @ Z ) )
& ! [Z: $i,C: $i] :
( ~ ( iext @ uri_owl_complementOf @ Z @ C )
| ( ic @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[17]) ).
thf(29,plain,
( ( ! [X: $i] :
( ! [Y: $i] :
~ ( iext @ uri_owl_onProperty @ X @ Y )
| ( icext @ uri_owl_Restriction @ X ) )
& ! [X: $i,Y: $i] :
( ~ ( iext @ uri_owl_onProperty @ X @ Y )
| ( ip @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[18]) ).
thf(30,plain,
( ( ! [X: $i] :
( ! [Y: $i] :
~ ( iext @ uri_owl_sourceIndividual @ X @ Y )
| ( icext @ uri_owl_NegativePropertyAssertion @ X ) )
& ! [X: $i,Y: $i] :
( ~ ( iext @ uri_owl_sourceIndividual @ X @ Y )
| ( ir @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[19]) ).
thf(31,plain,
( ( ! [X: $i,C: $i] :
( ~ ( icext @ C @ X )
| ( iext @ uri_rdf_type @ X @ C ) )
& ! [X: $i,C: $i] :
( ~ ( iext @ uri_rdf_type @ X @ C )
| ( icext @ C @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[20]) ).
thf(32,plain,
( ( ! [X: $i] : ( ir @ X ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(33,plain,
( ( ! [X: $i,C: $i] :
( ~ ( icext @ C @ X )
| ( iext @ uri_rdf_type @ X @ C ) )
& ! [X: $i,C: $i] :
( ~ ( iext @ uri_rdf_type @ X @ C )
| ( icext @ C @ X ) ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(34,plain,
( ( ! [X: $i] :
( ! [Y: $i] :
~ ( iext @ uri_owl_sourceIndividual @ X @ Y )
| ( icext @ uri_owl_NegativePropertyAssertion @ X ) )
& ! [X: $i,Y: $i] :
( ~ ( iext @ uri_owl_sourceIndividual @ X @ Y )
| ( ir @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(35,plain,
( ( ! [X: $i] :
( ! [Y: $i] :
~ ( iext @ uri_owl_onProperty @ X @ Y )
| ( icext @ uri_owl_Restriction @ X ) )
& ! [X: $i,Y: $i] :
( ~ ( iext @ uri_owl_onProperty @ X @ Y )
| ( ip @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(36,plain,
( ( ! [Z: $i,C: $i] :
( ~ ( iext @ uri_owl_complementOf @ Z @ C )
| ( ! [X: $i] :
( ~ ( icext @ Z @ X )
| ~ ( icext @ C @ X ) )
& ! [X: $i] :
( ( icext @ C @ X )
| ( icext @ Z @ X ) ) ) )
& ! [Z: $i] :
( ! [C: $i] :
~ ( iext @ uri_owl_complementOf @ Z @ C )
| ( ic @ Z ) )
& ! [Z: $i,C: $i] :
( ~ ( iext @ uri_owl_complementOf @ Z @ C )
| ( ic @ C ) ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(37,plain,
( ( ! [Z: $i] :
( ! [S1: $i,A1: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ A1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ uri_rdf_nil )
| ( ( ( ( sK7_X @ A1 @ S1 @ Z )
!= A1 )
| ~ ( icext @ Z @ ( sK7_X @ A1 @ S1 @ Z ) ) )
& ( ( ( sK7_X @ A1 @ S1 @ Z )
= A1 )
| ( icext @ Z @ ( sK7_X @ A1 @ S1 @ Z ) ) ) )
| ~ ( ic @ Z )
| ( iext @ uri_owl_oneOf @ Z @ S1 ) )
& ! [S1: $i,A1: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ A1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ Z @ S1 )
| ( ! [X: $i] :
( ( X != A1 )
| ( icext @ Z @ X ) )
& ! [X: $i] :
( ~ ( icext @ Z @ X )
| ( X = A1 ) ) ) )
& ! [S1: $i] :
( ! [A1: $i] :
~ ( iext @ uri_rdf_first @ S1 @ A1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ Z @ S1 )
| ( ic @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(38,plain,
( ( ! [Z: $i,P: $i,C: $i] :
( ~ ( iext @ uri_owl_allValuesFrom @ Z @ C )
| ~ ( iext @ uri_owl_onProperty @ Z @ P )
| ( ! [X: $i] :
( ( ( iext @ P @ X @ ( sK6_Y @ X @ C @ P @ Z ) )
& ~ ( icext @ C @ ( sK6_Y @ X @ C @ P @ Z ) ) )
| ( icext @ Z @ X ) )
& ! [X: $i] :
( ~ ( icext @ Z @ X )
| ! [Y: $i] :
( ~ ( iext @ P @ X @ Y )
| ( icext @ C @ Y ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(39,plain,
( ( ! [P: $i,A1: $i,A2: $i] :
( ~ ( ip @ P )
| ~ ( ir @ A1 )
| ~ ( ir @ A2 )
| ( iext @ P @ A1 @ A2 )
| ( ( iext @ uri_owl_sourceIndividual @ ( sK5_Z @ A2 @ A1 @ P ) @ A1 )
& ( iext @ uri_owl_assertionProperty @ ( sK5_Z @ A2 @ A1 @ P ) @ P )
& ( iext @ uri_owl_targetIndividual @ ( sK5_Z @ A2 @ A1 @ P ) @ A2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(40,plain,
( ( ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_ObjectProperty )
& ( iext @ uri_rdf_type @ uri_ex_s @ sK1_BNODE_x1 )
& ( iext @ uri_owl_onProperty @ sK1_BNODE_x1 @ uri_ex_p )
& ( iext @ uri_owl_allValuesFrom @ sK1_BNODE_x1 @ sK2_SY28 )
& ( iext @ uri_owl_complementOf @ sK2_SY28 @ sK3_SY31 )
& ( iext @ uri_owl_oneOf @ sK3_SY31 @ sK4_SY33 )
& ( iext @ uri_rdf_first @ sK4_SY33 @ uri_ex_o )
& ( iext @ uri_rdf_rest @ sK4_SY33 @ uri_rdf_nil ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(41,plain,
( ( ! [BNODE_z: $i] :
( ~ ( iext @ uri_rdf_type @ BNODE_z @ uri_owl_NegativePropertyAssertion )
| ~ ( iext @ uri_owl_sourceIndividual @ BNODE_z @ uri_ex_s )
| ~ ( iext @ uri_owl_assertionProperty @ BNODE_z @ uri_ex_p )
| ~ ( iext @ uri_owl_targetIndividual @ BNODE_z @ uri_ex_o ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(42,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_onProperty @ SX0 @ SX1 )
| ( icext @ uri_owl_Restriction @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_onProperty @ SX0 @ SX1 )
| ( ip @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(43,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( ip @ SX0 )
| ~ ( ir @ SX1 )
| ~ ( ir @ SX2 )
| ( iext @ SX0 @ SX1 @ SX2 )
| ~ ( ~ ~ ( ~ ( iext @ uri_owl_sourceIndividual @ ( sK5_Z @ SX2 @ SX1 @ SX0 ) @ SX1 )
| ~ ( iext @ uri_owl_assertionProperty @ ( sK5_Z @ SX2 @ SX1 @ SX0 ) @ SX0 ) )
| ~ ( iext @ uri_owl_targetIndividual @ ( sK5_Z @ SX2 @ SX1 @ SX0 ) @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(44,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_complementOf @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( icext @ SX0 @ SX2 )
| ~ ( icext @ SX1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ( icext @ SX1 @ SX2 )
| ( icext @ SX0 @ SX2 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_complementOf @ SX0 @ SX1 )
| ( ic @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_complementOf @ SX0 @ SX1 )
| ( ic @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(45,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( iext @ uri_rdf_first @ SX1 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SX1 @ uri_rdf_nil )
| ~ ( ~ ( ( ( sK7_X @ SX2 @ SX1 @ SX0 )
!= SX2 )
| ~ ( icext @ SX0 @ ( sK7_X @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ( ( sK7_X @ SX2 @ SX1 @ SX0 )
= SX2 )
| ( icext @ SX0 @ ( sK7_X @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ( ic @ SX0 )
| ( iext @ uri_owl_oneOf @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( iext @ uri_rdf_first @ SX1 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SX1 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SX0 @ SX1 )
| ~ ( ~ ! [SX3: $i] :
( ( SX3 != SX2 )
| ( icext @ SX0 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( icext @ SX0 @ SX3 )
| ( SX3 = SX2 ) ) ) )
| ~ ! [SX1: $i] :
( ! [SX2: $i] :
~ ( iext @ uri_rdf_first @ SX1 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SX1 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SX0 @ SX1 )
| ( ic @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(46,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( icext @ SX1 @ SX0 )
| ( iext @ uri_rdf_type @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
| ( icext @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(47,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_sourceIndividual @ SX0 @ SX1 )
| ( icext @ uri_owl_NegativePropertyAssertion @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_sourceIndividual @ SX0 @ SX1 )
| ( ir @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(48,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( iext @ uri_owl_allValuesFrom @ SX0 @ SX2 )
| ~ ( iext @ uri_owl_onProperty @ SX0 @ SX1 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( ~ ( iext @ SX1 @ SX3 @ ( sK6_Y @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( icext @ SX2 @ ( sK6_Y @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
| ( icext @ SX0 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( icext @ SX0 @ SX3 )
| ! [SX4: $i] :
( ~ ( iext @ SX1 @ SX3 @ SX4 )
| ( icext @ SX2 @ SX4 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(49,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_ObjectProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_s @ sK1_BNODE_x1 ) )
| ~ ( iext @ uri_owl_onProperty @ sK1_BNODE_x1 @ uri_ex_p ) )
| ~ ( iext @ uri_owl_allValuesFrom @ sK1_BNODE_x1 @ sK2_SY28 ) )
| ~ ( iext @ uri_owl_complementOf @ sK2_SY28 @ sK3_SY31 ) )
| ~ ( iext @ uri_owl_oneOf @ sK3_SY31 @ sK4_SY33 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY33 @ uri_ex_o ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY33 @ uri_rdf_nil ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(50,plain,
! [SV1: $i] :
( ( ir @ SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(51,plain,
! [SV2: $i] :
( ( ~ ( iext @ uri_rdf_type @ SV2 @ uri_owl_NegativePropertyAssertion )
| ~ ( iext @ uri_owl_sourceIndividual @ SV2 @ uri_ex_s )
| ~ ( iext @ uri_owl_assertionProperty @ SV2 @ uri_ex_p )
| ~ ( iext @ uri_owl_targetIndividual @ SV2 @ uri_ex_o ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(52,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_onProperty @ SX0 @ SX1 )
| ( icext @ uri_owl_Restriction @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_onProperty @ SX0 @ SX1 )
| ( ip @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(53,plain,
! [SV3: $i] :
( ( ! [SY34: $i,SY35: $i] :
( ~ ( ip @ SV3 )
| ~ ( ir @ SY34 )
| ~ ( ir @ SY35 )
| ( iext @ SV3 @ SY34 @ SY35 )
| ~ ( ~ ~ ( ~ ( iext @ uri_owl_sourceIndividual @ ( sK5_Z @ SY35 @ SY34 @ SV3 ) @ SY34 )
| ~ ( iext @ uri_owl_assertionProperty @ ( sK5_Z @ SY35 @ SY34 @ SV3 ) @ SV3 ) )
| ~ ( iext @ uri_owl_targetIndividual @ ( sK5_Z @ SY35 @ SY34 @ SV3 ) @ SY35 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(54,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_complementOf @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( icext @ SX0 @ SX2 )
| ~ ( icext @ SX1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ( icext @ SX1 @ SX2 )
| ( icext @ SX0 @ SX2 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_complementOf @ SX0 @ SX1 )
| ( ic @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_complementOf @ SX0 @ SX1 )
| ( ic @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(55,plain,
! [SV4: $i] :
( ( ~ ( ~ ! [SY36: $i,SY37: $i] :
( ~ ( iext @ uri_rdf_first @ SY36 @ SY37 )
| ~ ( iext @ uri_rdf_rest @ SY36 @ uri_rdf_nil )
| ~ ( ~ ( ( ( sK7_X @ SY37 @ SY36 @ SV4 )
!= SY37 )
| ~ ( icext @ SV4 @ ( sK7_X @ SY37 @ SY36 @ SV4 ) ) )
| ~ ( ( ( sK7_X @ SY37 @ SY36 @ SV4 )
= SY37 )
| ( icext @ SV4 @ ( sK7_X @ SY37 @ SY36 @ SV4 ) ) ) )
| ~ ( ic @ SV4 )
| ( iext @ uri_owl_oneOf @ SV4 @ SY36 ) )
| ~ ~ ( ~ ! [SY38: $i,SY39: $i] :
( ~ ( iext @ uri_rdf_first @ SY38 @ SY39 )
| ~ ( iext @ uri_rdf_rest @ SY38 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV4 @ SY38 )
| ~ ( ~ ! [SY40: $i] :
( ( SY40 != SY39 )
| ( icext @ SV4 @ SY40 ) )
| ~ ! [SY41: $i] :
( ~ ( icext @ SV4 @ SY41 )
| ( SY41 = SY39 ) ) ) )
| ~ ! [SY42: $i] :
( ! [SX2: $i] :
~ ( iext @ uri_rdf_first @ SY42 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SY42 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV4 @ SY42 )
| ( ic @ SV4 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(56,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( icext @ SX1 @ SX0 )
| ( iext @ uri_rdf_type @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
| ( icext @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(57,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_sourceIndividual @ SX0 @ SX1 )
| ( icext @ uri_owl_NegativePropertyAssertion @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_sourceIndividual @ SX0 @ SX1 )
| ( ir @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(58,plain,
! [SV5: $i] :
( ( ! [SY44: $i,SY45: $i] :
( ~ ( iext @ uri_owl_allValuesFrom @ SV5 @ SY45 )
| ~ ( iext @ uri_owl_onProperty @ SV5 @ SY44 )
| ~ ( ~ ! [SY46: $i] :
( ~ ( ~ ( iext @ SY44 @ SY46 @ ( sK6_Y @ SY46 @ SY45 @ SY44 @ SV5 ) )
| ~ ~ ( icext @ SY45 @ ( sK6_Y @ SY46 @ SY45 @ SY44 @ SV5 ) ) )
| ( icext @ SV5 @ SY46 ) )
| ~ ! [SY47: $i] :
( ~ ( icext @ SV5 @ SY47 )
| ! [SX4: $i] :
( ~ ( iext @ SY44 @ SY47 @ SX4 )
| ( icext @ SY45 @ SX4 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(59,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_ObjectProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_s @ sK1_BNODE_x1 ) )
| ~ ( iext @ uri_owl_onProperty @ sK1_BNODE_x1 @ uri_ex_p ) )
| ~ ( iext @ uri_owl_allValuesFrom @ sK1_BNODE_x1 @ sK2_SY28 ) )
| ~ ( iext @ uri_owl_complementOf @ sK2_SY28 @ sK3_SY31 ) )
| ~ ( iext @ uri_owl_oneOf @ sK3_SY31 @ sK4_SY33 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY33 @ uri_ex_o ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY33 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(60,plain,
! [SV2: $i] :
( ( ( ~ ( iext @ uri_rdf_type @ SV2 @ uri_owl_NegativePropertyAssertion )
| ~ ( iext @ uri_owl_sourceIndividual @ SV2 @ uri_ex_s )
| ~ ( iext @ uri_owl_assertionProperty @ SV2 @ uri_ex_p ) )
= $true )
| ( ( ~ ( iext @ uri_owl_targetIndividual @ SV2 @ uri_ex_o ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[51]) ).
thf(61,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_onProperty @ SX0 @ SX1 )
| ( icext @ uri_owl_Restriction @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(62,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_onProperty @ SX0 @ SX1 )
| ( ip @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(63,plain,
! [SV6: $i,SV3: $i] :
( ( ! [SY49: $i] :
( ~ ( ip @ SV3 )
| ~ ( ir @ SV6 )
| ~ ( ir @ SY49 )
| ( iext @ SV3 @ SV6 @ SY49 )
| ~ ( ~ ~ ( ~ ( iext @ uri_owl_sourceIndividual @ ( sK5_Z @ SY49 @ SV6 @ SV3 ) @ SV6 )
| ~ ( iext @ uri_owl_assertionProperty @ ( sK5_Z @ SY49 @ SV6 @ SV3 ) @ SV3 ) )
| ~ ( iext @ uri_owl_targetIndividual @ ( sK5_Z @ SY49 @ SV6 @ SV3 ) @ SY49 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(64,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_complementOf @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( icext @ SX0 @ SX2 )
| ~ ( icext @ SX1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ( icext @ SX1 @ SX2 )
| ( icext @ SX0 @ SX2 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[54]) ).
thf(65,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_complementOf @ SX0 @ SX1 )
| ( ic @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_complementOf @ SX0 @ SX1 )
| ( ic @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[54]) ).
thf(66,plain,
! [SV4: $i] :
( ( ~ ! [SY36: $i,SY37: $i] :
( ~ ( iext @ uri_rdf_first @ SY36 @ SY37 )
| ~ ( iext @ uri_rdf_rest @ SY36 @ uri_rdf_nil )
| ~ ( ~ ( ( ( sK7_X @ SY37 @ SY36 @ SV4 )
!= SY37 )
| ~ ( icext @ SV4 @ ( sK7_X @ SY37 @ SY36 @ SV4 ) ) )
| ~ ( ( ( sK7_X @ SY37 @ SY36 @ SV4 )
= SY37 )
| ( icext @ SV4 @ ( sK7_X @ SY37 @ SY36 @ SV4 ) ) ) )
| ~ ( ic @ SV4 )
| ( iext @ uri_owl_oneOf @ SV4 @ SY36 ) )
| ~ ~ ( ~ ! [SY38: $i,SY39: $i] :
( ~ ( iext @ uri_rdf_first @ SY38 @ SY39 )
| ~ ( iext @ uri_rdf_rest @ SY38 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV4 @ SY38 )
| ~ ( ~ ! [SY40: $i] :
( ( SY40 != SY39 )
| ( icext @ SV4 @ SY40 ) )
| ~ ! [SY41: $i] :
( ~ ( icext @ SV4 @ SY41 )
| ( SY41 = SY39 ) ) ) )
| ~ ! [SY42: $i] :
( ! [SX2: $i] :
~ ( iext @ uri_rdf_first @ SY42 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SY42 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV4 @ SY42 )
| ( ic @ SV4 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(67,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( icext @ SX1 @ SX0 )
| ( iext @ uri_rdf_type @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(68,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
| ( icext @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(69,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_sourceIndividual @ SX0 @ SX1 )
| ( icext @ uri_owl_NegativePropertyAssertion @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[57]) ).
thf(70,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_sourceIndividual @ SX0 @ SX1 )
| ( ir @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[57]) ).
thf(71,plain,
! [SV7: $i,SV5: $i] :
( ( ! [SY50: $i] :
( ~ ( iext @ uri_owl_allValuesFrom @ SV5 @ SY50 )
| ~ ( iext @ uri_owl_onProperty @ SV5 @ SV7 )
| ~ ( ~ ! [SY51: $i] :
( ~ ( ~ ( iext @ SV7 @ SY51 @ ( sK6_Y @ SY51 @ SY50 @ SV7 @ SV5 ) )
| ~ ~ ( icext @ SY50 @ ( sK6_Y @ SY51 @ SY50 @ SV7 @ SV5 ) ) )
| ( icext @ SV5 @ SY51 ) )
| ~ ! [SY52: $i] :
( ~ ( icext @ SV5 @ SY52 )
| ! [SY53: $i] :
( ~ ( iext @ SV7 @ SY52 @ SY53 )
| ( icext @ SY50 @ SY53 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(72,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_ObjectProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_s @ sK1_BNODE_x1 ) )
| ~ ( iext @ uri_owl_onProperty @ sK1_BNODE_x1 @ uri_ex_p ) )
| ~ ( iext @ uri_owl_allValuesFrom @ sK1_BNODE_x1 @ sK2_SY28 ) )
| ~ ( iext @ uri_owl_complementOf @ sK2_SY28 @ sK3_SY31 ) )
| ~ ( iext @ uri_owl_oneOf @ sK3_SY31 @ sK4_SY33 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY33 @ uri_ex_o ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(73,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK4_SY33 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(74,plain,
! [SV2: $i] :
( ( ( ~ ( iext @ uri_rdf_type @ SV2 @ uri_owl_NegativePropertyAssertion )
| ~ ( iext @ uri_owl_sourceIndividual @ SV2 @ uri_ex_s ) )
= $true )
| ( ( ~ ( iext @ uri_owl_assertionProperty @ SV2 @ uri_ex_p ) )
= $true )
| ( ( ~ ( iext @ uri_owl_targetIndividual @ SV2 @ uri_ex_o ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[60]) ).
thf(75,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_onProperty @ SX0 @ SX1 )
| ( icext @ uri_owl_Restriction @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[61]) ).
thf(76,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_onProperty @ SX0 @ SX1 )
| ( ip @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(77,plain,
! [SV8: $i,SV6: $i,SV3: $i] :
( ( ~ ( ip @ SV3 )
| ~ ( ir @ SV6 )
| ~ ( ir @ SV8 )
| ( iext @ SV3 @ SV6 @ SV8 )
| ~ ( ~ ~ ( ~ ( iext @ uri_owl_sourceIndividual @ ( sK5_Z @ SV8 @ SV6 @ SV3 ) @ SV6 )
| ~ ( iext @ uri_owl_assertionProperty @ ( sK5_Z @ SV8 @ SV6 @ SV3 ) @ SV3 ) )
| ~ ( iext @ uri_owl_targetIndividual @ ( sK5_Z @ SV8 @ SV6 @ SV3 ) @ SV8 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(78,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_complementOf @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( icext @ SX0 @ SX2 )
| ~ ( icext @ SX1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ( icext @ SX1 @ SX2 )
| ( icext @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[64]) ).
thf(79,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_complementOf @ SX0 @ SX1 )
| ( ic @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_complementOf @ SX0 @ SX1 )
| ( ic @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[65]) ).
thf(80,plain,
! [SV4: $i] :
( ( ~ ! [SY36: $i,SY37: $i] :
( ~ ( iext @ uri_rdf_first @ SY36 @ SY37 )
| ~ ( iext @ uri_rdf_rest @ SY36 @ uri_rdf_nil )
| ~ ( ~ ( ( ( sK7_X @ SY37 @ SY36 @ SV4 )
!= SY37 )
| ~ ( icext @ SV4 @ ( sK7_X @ SY37 @ SY36 @ SV4 ) ) )
| ~ ( ( ( sK7_X @ SY37 @ SY36 @ SV4 )
= SY37 )
| ( icext @ SV4 @ ( sK7_X @ SY37 @ SY36 @ SV4 ) ) ) )
| ~ ( ic @ SV4 )
| ( iext @ uri_owl_oneOf @ SV4 @ SY36 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[66]) ).
thf(81,plain,
! [SV4: $i] :
( ( ~ ~ ( ~ ! [SY38: $i,SY39: $i] :
( ~ ( iext @ uri_rdf_first @ SY38 @ SY39 )
| ~ ( iext @ uri_rdf_rest @ SY38 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV4 @ SY38 )
| ~ ( ~ ! [SY40: $i] :
( ( SY40 != SY39 )
| ( icext @ SV4 @ SY40 ) )
| ~ ! [SY41: $i] :
( ~ ( icext @ SV4 @ SY41 )
| ( SY41 = SY39 ) ) ) )
| ~ ! [SY42: $i] :
( ! [SX2: $i] :
~ ( iext @ uri_rdf_first @ SY42 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SY42 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV4 @ SY42 )
| ( ic @ SV4 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[66]) ).
thf(82,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( icext @ SX1 @ SX0 )
| ( iext @ uri_rdf_type @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[67]) ).
thf(83,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
| ( icext @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[68]) ).
thf(84,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_sourceIndividual @ SX0 @ SX1 )
| ( icext @ uri_owl_NegativePropertyAssertion @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[69]) ).
thf(85,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_sourceIndividual @ SX0 @ SX1 )
| ( ir @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[70]) ).
thf(86,plain,
! [SV7: $i,SV9: $i,SV5: $i] :
( ( ~ ( iext @ uri_owl_allValuesFrom @ SV5 @ SV9 )
| ~ ( iext @ uri_owl_onProperty @ SV5 @ SV7 )
| ~ ( ~ ! [SY54: $i] :
( ~ ( ~ ( iext @ SV7 @ SY54 @ ( sK6_Y @ SY54 @ SV9 @ SV7 @ SV5 ) )
| ~ ~ ( icext @ SV9 @ ( sK6_Y @ SY54 @ SV9 @ SV7 @ SV5 ) ) )
| ( icext @ SV5 @ SY54 ) )
| ~ ! [SY55: $i] :
( ~ ( icext @ SV5 @ SY55 )
| ! [SY56: $i] :
( ~ ( iext @ SV7 @ SY55 @ SY56 )
| ( icext @ SV9 @ SY56 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(87,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_ObjectProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_s @ sK1_BNODE_x1 ) )
| ~ ( iext @ uri_owl_onProperty @ sK1_BNODE_x1 @ uri_ex_p ) )
| ~ ( iext @ uri_owl_allValuesFrom @ sK1_BNODE_x1 @ sK2_SY28 ) )
| ~ ( iext @ uri_owl_complementOf @ sK2_SY28 @ sK3_SY31 ) )
| ~ ( iext @ uri_owl_oneOf @ sK3_SY31 @ sK4_SY33 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY33 @ uri_ex_o ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[72]) ).
thf(88,plain,
( ( iext @ uri_rdf_rest @ sK4_SY33 @ uri_rdf_nil )
= $true ),
inference(extcnf_not_neg,[status(thm)],[73]) ).
thf(89,plain,
! [SV2: $i] :
( ( ( ~ ( iext @ uri_rdf_type @ SV2 @ uri_owl_NegativePropertyAssertion ) )
= $true )
| ( ( ~ ( iext @ uri_owl_sourceIndividual @ SV2 @ uri_ex_s ) )
= $true )
| ( ( ~ ( iext @ uri_owl_assertionProperty @ SV2 @ uri_ex_p ) )
= $true )
| ( ( ~ ( iext @ uri_owl_targetIndividual @ SV2 @ uri_ex_o ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[74]) ).
thf(90,plain,
! [SV10: $i] :
( ( ! [SY57: $i] :
~ ( iext @ uri_owl_onProperty @ SV10 @ SY57 )
| ( icext @ uri_owl_Restriction @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(91,plain,
! [SV11: $i] :
( ( ! [SY58: $i] :
( ~ ( iext @ uri_owl_onProperty @ SV11 @ SY58 )
| ( ip @ SY58 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(92,plain,
! [SV8: $i,SV6: $i,SV3: $i] :
( ( ( ~ ( ip @ SV3 )
| ~ ( ir @ SV6 )
| ~ ( ir @ SV8 )
| ( iext @ SV3 @ SV6 @ SV8 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( iext @ uri_owl_sourceIndividual @ ( sK5_Z @ SV8 @ SV6 @ SV3 ) @ SV6 )
| ~ ( iext @ uri_owl_assertionProperty @ ( sK5_Z @ SV8 @ SV6 @ SV3 ) @ SV3 ) )
| ~ ( iext @ uri_owl_targetIndividual @ ( sK5_Z @ SV8 @ SV6 @ SV3 ) @ SV8 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[77]) ).
thf(93,plain,
! [SV12: $i] :
( ( ! [SY59: $i] :
( ~ ( iext @ uri_owl_complementOf @ SV12 @ SY59 )
| ~ ( ~ ! [SY60: $i] :
( ~ ( icext @ SV12 @ SY60 )
| ~ ( icext @ SY59 @ SY60 ) )
| ~ ! [SY61: $i] :
( ( icext @ SY59 @ SY61 )
| ( icext @ SV12 @ SY61 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(94,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_complementOf @ SX0 @ SX1 )
| ( ic @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_complementOf @ SX0 @ SX1 )
| ( ic @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(95,plain,
! [SV4: $i] :
( ( ! [SY36: $i,SY37: $i] :
( ~ ( iext @ uri_rdf_first @ SY36 @ SY37 )
| ~ ( iext @ uri_rdf_rest @ SY36 @ uri_rdf_nil )
| ~ ( ~ ( ( ( sK7_X @ SY37 @ SY36 @ SV4 )
!= SY37 )
| ~ ( icext @ SV4 @ ( sK7_X @ SY37 @ SY36 @ SV4 ) ) )
| ~ ( ( ( sK7_X @ SY37 @ SY36 @ SV4 )
= SY37 )
| ( icext @ SV4 @ ( sK7_X @ SY37 @ SY36 @ SV4 ) ) ) )
| ~ ( ic @ SV4 )
| ( iext @ uri_owl_oneOf @ SV4 @ SY36 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[80]) ).
thf(96,plain,
! [SV4: $i] :
( ( ~ ( ~ ! [SY38: $i,SY39: $i] :
( ~ ( iext @ uri_rdf_first @ SY38 @ SY39 )
| ~ ( iext @ uri_rdf_rest @ SY38 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV4 @ SY38 )
| ~ ( ~ ! [SY40: $i] :
( ( SY40 != SY39 )
| ( icext @ SV4 @ SY40 ) )
| ~ ! [SY41: $i] :
( ~ ( icext @ SV4 @ SY41 )
| ( SY41 = SY39 ) ) ) )
| ~ ! [SY42: $i] :
( ! [SX2: $i] :
~ ( iext @ uri_rdf_first @ SY42 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SY42 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV4 @ SY42 )
| ( ic @ SV4 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[81]) ).
thf(97,plain,
! [SV13: $i] :
( ( ! [SY62: $i] :
( ~ ( icext @ SY62 @ SV13 )
| ( iext @ uri_rdf_type @ SV13 @ SY62 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(98,plain,
! [SV14: $i] :
( ( ! [SY63: $i] :
( ~ ( iext @ uri_rdf_type @ SV14 @ SY63 )
| ( icext @ SY63 @ SV14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(99,plain,
! [SV15: $i] :
( ( ! [SY64: $i] :
~ ( iext @ uri_owl_sourceIndividual @ SV15 @ SY64 )
| ( icext @ uri_owl_NegativePropertyAssertion @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(100,plain,
! [SV16: $i] :
( ( ! [SY65: $i] :
( ~ ( iext @ uri_owl_sourceIndividual @ SV16 @ SY65 )
| ( ir @ SY65 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(101,plain,
! [SV7: $i,SV9: $i,SV5: $i] :
( ( ( ~ ( iext @ uri_owl_allValuesFrom @ SV5 @ SV9 )
| ~ ( iext @ uri_owl_onProperty @ SV5 @ SV7 ) )
= $true )
| ( ( ~ ( ~ ! [SY54: $i] :
( ~ ( ~ ( iext @ SV7 @ SY54 @ ( sK6_Y @ SY54 @ SV9 @ SV7 @ SV5 ) )
| ~ ~ ( icext @ SV9 @ ( sK6_Y @ SY54 @ SV9 @ SV7 @ SV5 ) ) )
| ( icext @ SV5 @ SY54 ) )
| ~ ! [SY55: $i] :
( ~ ( icext @ SV5 @ SY55 )
| ! [SY56: $i] :
( ~ ( iext @ SV7 @ SY55 @ SY56 )
| ( icext @ SV9 @ SY56 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[86]) ).
thf(102,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_ObjectProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_s @ sK1_BNODE_x1 ) )
| ~ ( iext @ uri_owl_onProperty @ sK1_BNODE_x1 @ uri_ex_p ) )
| ~ ( iext @ uri_owl_allValuesFrom @ sK1_BNODE_x1 @ sK2_SY28 ) )
| ~ ( iext @ uri_owl_complementOf @ sK2_SY28 @ sK3_SY31 ) )
| ~ ( iext @ uri_owl_oneOf @ sK3_SY31 @ sK4_SY33 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY33 @ uri_ex_o ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(103,plain,
! [SV2: $i] :
( ( ( iext @ uri_rdf_type @ SV2 @ uri_owl_NegativePropertyAssertion )
= $false )
| ( ( ~ ( iext @ uri_owl_sourceIndividual @ SV2 @ uri_ex_s ) )
= $true )
| ( ( ~ ( iext @ uri_owl_assertionProperty @ SV2 @ uri_ex_p ) )
= $true )
| ( ( ~ ( iext @ uri_owl_targetIndividual @ SV2 @ uri_ex_o ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(104,plain,
! [SV10: $i] :
( ( ( ! [SY57: $i] :
~ ( iext @ uri_owl_onProperty @ SV10 @ SY57 ) )
= $true )
| ( ( icext @ uri_owl_Restriction @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[90]) ).
thf(105,plain,
! [SV17: $i,SV11: $i] :
( ( ~ ( iext @ uri_owl_onProperty @ SV11 @ SV17 )
| ( ip @ SV17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(106,plain,
! [SV8: $i,SV6: $i,SV3: $i] :
( ( ( ~ ( ip @ SV3 )
| ~ ( ir @ SV6 )
| ~ ( ir @ SV8 ) )
= $true )
| ( ( iext @ SV3 @ SV6 @ SV8 )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( iext @ uri_owl_sourceIndividual @ ( sK5_Z @ SV8 @ SV6 @ SV3 ) @ SV6 )
| ~ ( iext @ uri_owl_assertionProperty @ ( sK5_Z @ SV8 @ SV6 @ SV3 ) @ SV3 ) )
| ~ ( iext @ uri_owl_targetIndividual @ ( sK5_Z @ SV8 @ SV6 @ SV3 ) @ SV8 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[92]) ).
thf(107,plain,
! [SV18: $i,SV12: $i] :
( ( ~ ( iext @ uri_owl_complementOf @ SV12 @ SV18 )
| ~ ( ~ ! [SY66: $i] :
( ~ ( icext @ SV12 @ SY66 )
| ~ ( icext @ SV18 @ SY66 ) )
| ~ ! [SY67: $i] :
( ( icext @ SV18 @ SY67 )
| ( icext @ SV12 @ SY67 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(108,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_complementOf @ SX0 @ SX1 )
| ( ic @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(109,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_complementOf @ SX0 @ SX1 )
| ( ic @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(110,plain,
! [SV4: $i,SV19: $i] :
( ( ! [SY68: $i] :
( ~ ( iext @ uri_rdf_first @ SV19 @ SY68 )
| ~ ( iext @ uri_rdf_rest @ SV19 @ uri_rdf_nil )
| ~ ( ~ ( ( ( sK7_X @ SY68 @ SV19 @ SV4 )
!= SY68 )
| ~ ( icext @ SV4 @ ( sK7_X @ SY68 @ SV19 @ SV4 ) ) )
| ~ ( ( ( sK7_X @ SY68 @ SV19 @ SV4 )
= SY68 )
| ( icext @ SV4 @ ( sK7_X @ SY68 @ SV19 @ SV4 ) ) ) )
| ~ ( ic @ SV4 )
| ( iext @ uri_owl_oneOf @ SV4 @ SV19 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(111,plain,
! [SV4: $i] :
( ( ~ ! [SY38: $i,SY39: $i] :
( ~ ( iext @ uri_rdf_first @ SY38 @ SY39 )
| ~ ( iext @ uri_rdf_rest @ SY38 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV4 @ SY38 )
| ~ ( ~ ! [SY40: $i] :
( ( SY40 != SY39 )
| ( icext @ SV4 @ SY40 ) )
| ~ ! [SY41: $i] :
( ~ ( icext @ SV4 @ SY41 )
| ( SY41 = SY39 ) ) ) )
| ~ ! [SY42: $i] :
( ! [SX2: $i] :
~ ( iext @ uri_rdf_first @ SY42 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SY42 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV4 @ SY42 )
| ( ic @ SV4 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(112,plain,
! [SV13: $i,SV20: $i] :
( ( ~ ( icext @ SV20 @ SV13 )
| ( iext @ uri_rdf_type @ SV13 @ SV20 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(113,plain,
! [SV21: $i,SV14: $i] :
( ( ~ ( iext @ uri_rdf_type @ SV14 @ SV21 )
| ( icext @ SV21 @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(114,plain,
! [SV15: $i] :
( ( ( ! [SY64: $i] :
~ ( iext @ uri_owl_sourceIndividual @ SV15 @ SY64 ) )
= $true )
| ( ( icext @ uri_owl_NegativePropertyAssertion @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[99]) ).
thf(115,plain,
! [SV22: $i,SV16: $i] :
( ( ~ ( iext @ uri_owl_sourceIndividual @ SV16 @ SV22 )
| ( ir @ SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(116,plain,
! [SV7: $i,SV9: $i,SV5: $i] :
( ( ( ~ ( iext @ uri_owl_allValuesFrom @ SV5 @ SV9 ) )
= $true )
| ( ( ~ ( iext @ uri_owl_onProperty @ SV5 @ SV7 ) )
= $true )
| ( ( ~ ( ~ ! [SY54: $i] :
( ~ ( ~ ( iext @ SV7 @ SY54 @ ( sK6_Y @ SY54 @ SV9 @ SV7 @ SV5 ) )
| ~ ~ ( icext @ SV9 @ ( sK6_Y @ SY54 @ SV9 @ SV7 @ SV5 ) ) )
| ( icext @ SV5 @ SY54 ) )
| ~ ! [SY55: $i] :
( ~ ( icext @ SV5 @ SY55 )
| ! [SY56: $i] :
( ~ ( iext @ SV7 @ SY55 @ SY56 )
| ( icext @ SV9 @ SY56 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[101]) ).
thf(117,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_ObjectProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_s @ sK1_BNODE_x1 ) )
| ~ ( iext @ uri_owl_onProperty @ sK1_BNODE_x1 @ uri_ex_p ) )
| ~ ( iext @ uri_owl_allValuesFrom @ sK1_BNODE_x1 @ sK2_SY28 ) )
| ~ ( iext @ uri_owl_complementOf @ sK2_SY28 @ sK3_SY31 ) )
| ~ ( iext @ uri_owl_oneOf @ sK3_SY31 @ sK4_SY33 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[102]) ).
thf(118,plain,
( ( ~ ( iext @ uri_rdf_first @ sK4_SY33 @ uri_ex_o ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[102]) ).
thf(119,plain,
! [SV2: $i] :
( ( ( iext @ uri_owl_sourceIndividual @ SV2 @ uri_ex_s )
= $false )
| ( ( iext @ uri_rdf_type @ SV2 @ uri_owl_NegativePropertyAssertion )
= $false )
| ( ( ~ ( iext @ uri_owl_assertionProperty @ SV2 @ uri_ex_p ) )
= $true )
| ( ( ~ ( iext @ uri_owl_targetIndividual @ SV2 @ uri_ex_o ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(120,plain,
! [SV23: $i,SV10: $i] :
( ( ( ~ ( iext @ uri_owl_onProperty @ SV10 @ SV23 ) )
= $true )
| ( ( icext @ uri_owl_Restriction @ SV10 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(121,plain,
! [SV17: $i,SV11: $i] :
( ( ( ~ ( iext @ uri_owl_onProperty @ SV11 @ SV17 ) )
= $true )
| ( ( ip @ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[105]) ).
thf(122,plain,
! [SV8: $i,SV6: $i,SV3: $i] :
( ( ( ~ ( ip @ SV3 )
| ~ ( ir @ SV6 ) )
= $true )
| ( ( ~ ( ir @ SV8 ) )
= $true )
| ( ( iext @ SV3 @ SV6 @ SV8 )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( iext @ uri_owl_sourceIndividual @ ( sK5_Z @ SV8 @ SV6 @ SV3 ) @ SV6 )
| ~ ( iext @ uri_owl_assertionProperty @ ( sK5_Z @ SV8 @ SV6 @ SV3 ) @ SV3 ) )
| ~ ( iext @ uri_owl_targetIndividual @ ( sK5_Z @ SV8 @ SV6 @ SV3 ) @ SV8 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[106]) ).
thf(123,plain,
! [SV18: $i,SV12: $i] :
( ( ( ~ ( iext @ uri_owl_complementOf @ SV12 @ SV18 ) )
= $true )
| ( ( ~ ( ~ ! [SY66: $i] :
( ~ ( icext @ SV12 @ SY66 )
| ~ ( icext @ SV18 @ SY66 ) )
| ~ ! [SY67: $i] :
( ( icext @ SV18 @ SY67 )
| ( icext @ SV12 @ SY67 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[107]) ).
thf(124,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_complementOf @ SX0 @ SX1 )
| ( ic @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[108]) ).
thf(125,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_complementOf @ SX0 @ SX1 )
| ( ic @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[109]) ).
thf(126,plain,
! [SV4: $i,SV24: $i,SV19: $i] :
( ( ~ ( iext @ uri_rdf_first @ SV19 @ SV24 )
| ~ ( iext @ uri_rdf_rest @ SV19 @ uri_rdf_nil )
| ~ ( ~ ( ( ( sK7_X @ SV24 @ SV19 @ SV4 )
!= SV24 )
| ~ ( icext @ SV4 @ ( sK7_X @ SV24 @ SV19 @ SV4 ) ) )
| ~ ( ( ( sK7_X @ SV24 @ SV19 @ SV4 )
= SV24 )
| ( icext @ SV4 @ ( sK7_X @ SV24 @ SV19 @ SV4 ) ) ) )
| ~ ( ic @ SV4 )
| ( iext @ uri_owl_oneOf @ SV4 @ SV19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(127,plain,
! [SV4: $i] :
( ( ~ ! [SY38: $i,SY39: $i] :
( ~ ( iext @ uri_rdf_first @ SY38 @ SY39 )
| ~ ( iext @ uri_rdf_rest @ SY38 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV4 @ SY38 )
| ~ ( ~ ! [SY40: $i] :
( ( SY40 != SY39 )
| ( icext @ SV4 @ SY40 ) )
| ~ ! [SY41: $i] :
( ~ ( icext @ SV4 @ SY41 )
| ( SY41 = SY39 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[111]) ).
thf(128,plain,
! [SV4: $i] :
( ( ~ ! [SY42: $i] :
( ! [SX2: $i] :
~ ( iext @ uri_rdf_first @ SY42 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SY42 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV4 @ SY42 )
| ( ic @ SV4 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[111]) ).
thf(129,plain,
! [SV13: $i,SV20: $i] :
( ( ( ~ ( icext @ SV20 @ SV13 ) )
= $true )
| ( ( iext @ uri_rdf_type @ SV13 @ SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[112]) ).
thf(130,plain,
! [SV21: $i,SV14: $i] :
( ( ( ~ ( iext @ uri_rdf_type @ SV14 @ SV21 ) )
= $true )
| ( ( icext @ SV21 @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[113]) ).
thf(131,plain,
! [SV25: $i,SV15: $i] :
( ( ( ~ ( iext @ uri_owl_sourceIndividual @ SV15 @ SV25 ) )
= $true )
| ( ( icext @ uri_owl_NegativePropertyAssertion @ SV15 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(132,plain,
! [SV22: $i,SV16: $i] :
( ( ( ~ ( iext @ uri_owl_sourceIndividual @ SV16 @ SV22 ) )
= $true )
| ( ( ir @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[115]) ).
thf(133,plain,
! [SV7: $i,SV9: $i,SV5: $i] :
( ( ( iext @ uri_owl_allValuesFrom @ SV5 @ SV9 )
= $false )
| ( ( ~ ( iext @ uri_owl_onProperty @ SV5 @ SV7 ) )
= $true )
| ( ( ~ ( ~ ! [SY54: $i] :
( ~ ( ~ ( iext @ SV7 @ SY54 @ ( sK6_Y @ SY54 @ SV9 @ SV7 @ SV5 ) )
| ~ ~ ( icext @ SV9 @ ( sK6_Y @ SY54 @ SV9 @ SV7 @ SV5 ) ) )
| ( icext @ SV5 @ SY54 ) )
| ~ ! [SY55: $i] :
( ~ ( icext @ SV5 @ SY55 )
| ! [SY56: $i] :
( ~ ( iext @ SV7 @ SY55 @ SY56 )
| ( icext @ SV9 @ SY56 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(134,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_ObjectProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_s @ sK1_BNODE_x1 ) )
| ~ ( iext @ uri_owl_onProperty @ sK1_BNODE_x1 @ uri_ex_p ) )
| ~ ( iext @ uri_owl_allValuesFrom @ sK1_BNODE_x1 @ sK2_SY28 ) )
| ~ ( iext @ uri_owl_complementOf @ sK2_SY28 @ sK3_SY31 ) )
| ~ ( iext @ uri_owl_oneOf @ sK3_SY31 @ sK4_SY33 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[117]) ).
thf(135,plain,
( ( iext @ uri_rdf_first @ sK4_SY33 @ uri_ex_o )
= $true ),
inference(extcnf_not_neg,[status(thm)],[118]) ).
thf(136,plain,
! [SV2: $i] :
( ( ( iext @ uri_owl_assertionProperty @ SV2 @ uri_ex_p )
= $false )
| ( ( iext @ uri_rdf_type @ SV2 @ uri_owl_NegativePropertyAssertion )
= $false )
| ( ( iext @ uri_owl_sourceIndividual @ SV2 @ uri_ex_s )
= $false )
| ( ( ~ ( iext @ uri_owl_targetIndividual @ SV2 @ uri_ex_o ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(137,plain,
! [SV23: $i,SV10: $i] :
( ( ( iext @ uri_owl_onProperty @ SV10 @ SV23 )
= $false )
| ( ( icext @ uri_owl_Restriction @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(138,plain,
! [SV17: $i,SV11: $i] :
( ( ( iext @ uri_owl_onProperty @ SV11 @ SV17 )
= $false )
| ( ( ip @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(139,plain,
! [SV8: $i,SV6: $i,SV3: $i] :
( ( ( ~ ( ip @ SV3 ) )
= $true )
| ( ( ~ ( ir @ SV6 ) )
= $true )
| ( ( ~ ( ir @ SV8 ) )
= $true )
| ( ( iext @ SV3 @ SV6 @ SV8 )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( iext @ uri_owl_sourceIndividual @ ( sK5_Z @ SV8 @ SV6 @ SV3 ) @ SV6 )
| ~ ( iext @ uri_owl_assertionProperty @ ( sK5_Z @ SV8 @ SV6 @ SV3 ) @ SV3 ) )
| ~ ( iext @ uri_owl_targetIndividual @ ( sK5_Z @ SV8 @ SV6 @ SV3 ) @ SV8 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[122]) ).
thf(140,plain,
! [SV18: $i,SV12: $i] :
( ( ( iext @ uri_owl_complementOf @ SV12 @ SV18 )
= $false )
| ( ( ~ ( ~ ! [SY66: $i] :
( ~ ( icext @ SV12 @ SY66 )
| ~ ( icext @ SV18 @ SY66 ) )
| ~ ! [SY67: $i] :
( ( icext @ SV18 @ SY67 )
| ( icext @ SV12 @ SY67 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(141,plain,
! [SV26: $i] :
( ( ! [SY69: $i] :
~ ( iext @ uri_owl_complementOf @ SV26 @ SY69 )
| ( ic @ SV26 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(142,plain,
! [SV27: $i] :
( ( ! [SY70: $i] :
( ~ ( iext @ uri_owl_complementOf @ SV27 @ SY70 )
| ( ic @ SY70 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[125]) ).
thf(143,plain,
! [SV4: $i,SV24: $i,SV19: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV19 @ SV24 )
| ~ ( iext @ uri_rdf_rest @ SV19 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ( ( sK7_X @ SV24 @ SV19 @ SV4 )
!= SV24 )
| ~ ( icext @ SV4 @ ( sK7_X @ SV24 @ SV19 @ SV4 ) ) )
| ~ ( ( ( sK7_X @ SV24 @ SV19 @ SV4 )
= SV24 )
| ( icext @ SV4 @ ( sK7_X @ SV24 @ SV19 @ SV4 ) ) ) )
| ~ ( ic @ SV4 )
| ( iext @ uri_owl_oneOf @ SV4 @ SV19 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[126]) ).
thf(144,plain,
! [SV4: $i] :
( ( ! [SY38: $i,SY39: $i] :
( ~ ( iext @ uri_rdf_first @ SY38 @ SY39 )
| ~ ( iext @ uri_rdf_rest @ SY38 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV4 @ SY38 )
| ~ ( ~ ! [SY40: $i] :
( ( SY40 != SY39 )
| ( icext @ SV4 @ SY40 ) )
| ~ ! [SY41: $i] :
( ~ ( icext @ SV4 @ SY41 )
| ( SY41 = SY39 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[127]) ).
thf(145,plain,
! [SV4: $i] :
( ( ! [SY42: $i] :
( ! [SX2: $i] :
~ ( iext @ uri_rdf_first @ SY42 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SY42 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV4 @ SY42 )
| ( ic @ SV4 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[128]) ).
thf(146,plain,
! [SV13: $i,SV20: $i] :
( ( ( icext @ SV20 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_type @ SV13 @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(147,plain,
! [SV21: $i,SV14: $i] :
( ( ( iext @ uri_rdf_type @ SV14 @ SV21 )
= $false )
| ( ( icext @ SV21 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(148,plain,
! [SV25: $i,SV15: $i] :
( ( ( iext @ uri_owl_sourceIndividual @ SV15 @ SV25 )
= $false )
| ( ( icext @ uri_owl_NegativePropertyAssertion @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(149,plain,
! [SV22: $i,SV16: $i] :
( ( ( iext @ uri_owl_sourceIndividual @ SV16 @ SV22 )
= $false )
| ( ( ir @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(150,plain,
! [SV9: $i,SV7: $i,SV5: $i] :
( ( ( iext @ uri_owl_onProperty @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_owl_allValuesFrom @ SV5 @ SV9 )
= $false )
| ( ( ~ ( ~ ! [SY54: $i] :
( ~ ( ~ ( iext @ SV7 @ SY54 @ ( sK6_Y @ SY54 @ SV9 @ SV7 @ SV5 ) )
| ~ ~ ( icext @ SV9 @ ( sK6_Y @ SY54 @ SV9 @ SV7 @ SV5 ) ) )
| ( icext @ SV5 @ SY54 ) )
| ~ ! [SY55: $i] :
( ~ ( icext @ SV5 @ SY55 )
| ! [SY56: $i] :
( ~ ( iext @ SV7 @ SY55 @ SY56 )
| ( icext @ SV9 @ SY56 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(151,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_ObjectProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_s @ sK1_BNODE_x1 ) )
| ~ ( iext @ uri_owl_onProperty @ sK1_BNODE_x1 @ uri_ex_p ) )
| ~ ( iext @ uri_owl_allValuesFrom @ sK1_BNODE_x1 @ sK2_SY28 ) )
| ~ ( iext @ uri_owl_complementOf @ sK2_SY28 @ sK3_SY31 ) )
| ~ ( iext @ uri_owl_oneOf @ sK3_SY31 @ sK4_SY33 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(152,plain,
! [SV2: $i] :
( ( ( iext @ uri_owl_targetIndividual @ SV2 @ uri_ex_o )
= $false )
| ( ( iext @ uri_owl_sourceIndividual @ SV2 @ uri_ex_s )
= $false )
| ( ( iext @ uri_rdf_type @ SV2 @ uri_owl_NegativePropertyAssertion )
= $false )
| ( ( iext @ uri_owl_assertionProperty @ SV2 @ uri_ex_p )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(153,plain,
! [SV8: $i,SV6: $i,SV3: $i] :
( ( ( ip @ SV3 )
= $false )
| ( ( ~ ( ir @ SV6 ) )
= $true )
| ( ( ~ ( ir @ SV8 ) )
= $true )
| ( ( iext @ SV3 @ SV6 @ SV8 )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( iext @ uri_owl_sourceIndividual @ ( sK5_Z @ SV8 @ SV6 @ SV3 ) @ SV6 )
| ~ ( iext @ uri_owl_assertionProperty @ ( sK5_Z @ SV8 @ SV6 @ SV3 ) @ SV3 ) )
| ~ ( iext @ uri_owl_targetIndividual @ ( sK5_Z @ SV8 @ SV6 @ SV3 ) @ SV8 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(154,plain,
! [SV18: $i,SV12: $i] :
( ( ( ~ ! [SY66: $i] :
( ~ ( icext @ SV12 @ SY66 )
| ~ ( icext @ SV18 @ SY66 ) )
| ~ ! [SY67: $i] :
( ( icext @ SV18 @ SY67 )
| ( icext @ SV12 @ SY67 ) ) )
= $false )
| ( ( iext @ uri_owl_complementOf @ SV12 @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(155,plain,
! [SV26: $i] :
( ( ( ! [SY69: $i] :
~ ( iext @ uri_owl_complementOf @ SV26 @ SY69 ) )
= $true )
| ( ( ic @ SV26 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[141]) ).
thf(156,plain,
! [SV28: $i,SV27: $i] :
( ( ~ ( iext @ uri_owl_complementOf @ SV27 @ SV28 )
| ( ic @ SV28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(157,plain,
! [SV4: $i,SV24: $i,SV19: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV19 @ SV24 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV19 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ( ( sK7_X @ SV24 @ SV19 @ SV4 )
!= SV24 )
| ~ ( icext @ SV4 @ ( sK7_X @ SV24 @ SV19 @ SV4 ) ) )
| ~ ( ( ( sK7_X @ SV24 @ SV19 @ SV4 )
= SV24 )
| ( icext @ SV4 @ ( sK7_X @ SV24 @ SV19 @ SV4 ) ) ) )
| ~ ( ic @ SV4 )
| ( iext @ uri_owl_oneOf @ SV4 @ SV19 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[143]) ).
thf(158,plain,
! [SV4: $i,SV29: $i] :
( ( ! [SY71: $i] :
( ~ ( iext @ uri_rdf_first @ SV29 @ SY71 )
| ~ ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV4 @ SV29 )
| ~ ( ~ ! [SY40: $i] :
( ( SY40 != SY71 )
| ( icext @ SV4 @ SY40 ) )
| ~ ! [SY41: $i] :
( ~ ( icext @ SV4 @ SY41 )
| ( SY41 = SY71 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[144]) ).
thf(159,plain,
! [SV4: $i,SV30: $i] :
( ( ! [SY74: $i] :
~ ( iext @ uri_rdf_first @ SV30 @ SY74 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV4 @ SV30 )
| ( ic @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(160,plain,
! [SV5: $i,SV9: $i,SV7: $i] :
( ( ( ~ ! [SY54: $i] :
( ~ ( ~ ( iext @ SV7 @ SY54 @ ( sK6_Y @ SY54 @ SV9 @ SV7 @ SV5 ) )
| ~ ~ ( icext @ SV9 @ ( sK6_Y @ SY54 @ SV9 @ SV7 @ SV5 ) ) )
| ( icext @ SV5 @ SY54 ) )
| ~ ! [SY55: $i] :
( ~ ( icext @ SV5 @ SY55 )
| ! [SY56: $i] :
( ~ ( iext @ SV7 @ SY55 @ SY56 )
| ( icext @ SV9 @ SY56 ) ) ) )
= $false )
| ( ( iext @ uri_owl_allValuesFrom @ SV5 @ SV9 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV5 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(161,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_ObjectProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_s @ sK1_BNODE_x1 ) )
| ~ ( iext @ uri_owl_onProperty @ sK1_BNODE_x1 @ uri_ex_p ) )
| ~ ( iext @ uri_owl_allValuesFrom @ sK1_BNODE_x1 @ sK2_SY28 ) )
| ~ ( iext @ uri_owl_complementOf @ sK2_SY28 @ sK3_SY31 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[151]) ).
thf(162,plain,
( ( ~ ( iext @ uri_owl_oneOf @ sK3_SY31 @ sK4_SY33 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[151]) ).
thf(163,plain,
! [SV8: $i,SV3: $i,SV6: $i] :
( ( ( ir @ SV6 )
= $false )
| ( ( ip @ SV3 )
= $false )
| ( ( ~ ( ir @ SV8 ) )
= $true )
| ( ( iext @ SV3 @ SV6 @ SV8 )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( iext @ uri_owl_sourceIndividual @ ( sK5_Z @ SV8 @ SV6 @ SV3 ) @ SV6 )
| ~ ( iext @ uri_owl_assertionProperty @ ( sK5_Z @ SV8 @ SV6 @ SV3 ) @ SV3 ) )
| ~ ( iext @ uri_owl_targetIndividual @ ( sK5_Z @ SV8 @ SV6 @ SV3 ) @ SV8 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(164,plain,
! [SV18: $i,SV12: $i] :
( ( ( ~ ! [SY66: $i] :
( ~ ( icext @ SV12 @ SY66 )
| ~ ( icext @ SV18 @ SY66 ) ) )
= $false )
| ( ( iext @ uri_owl_complementOf @ SV12 @ SV18 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[154]) ).
thf(165,plain,
! [SV12: $i,SV18: $i] :
( ( ( ~ ! [SY67: $i] :
( ( icext @ SV18 @ SY67 )
| ( icext @ SV12 @ SY67 ) ) )
= $false )
| ( ( iext @ uri_owl_complementOf @ SV12 @ SV18 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[154]) ).
thf(166,plain,
! [SV31: $i,SV26: $i] :
( ( ( ~ ( iext @ uri_owl_complementOf @ SV26 @ SV31 ) )
= $true )
| ( ( ic @ SV26 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(167,plain,
! [SV28: $i,SV27: $i] :
( ( ( ~ ( iext @ uri_owl_complementOf @ SV27 @ SV28 ) )
= $true )
| ( ( ic @ SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[156]) ).
thf(168,plain,
! [SV4: $i,SV24: $i,SV19: $i] :
( ( ( iext @ uri_rdf_first @ SV19 @ SV24 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV19 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ( ( sK7_X @ SV24 @ SV19 @ SV4 )
!= SV24 )
| ~ ( icext @ SV4 @ ( sK7_X @ SV24 @ SV19 @ SV4 ) ) )
| ~ ( ( ( sK7_X @ SV24 @ SV19 @ SV4 )
= SV24 )
| ( icext @ SV4 @ ( sK7_X @ SV24 @ SV19 @ SV4 ) ) ) )
| ~ ( ic @ SV4 )
| ( iext @ uri_owl_oneOf @ SV4 @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[157]) ).
thf(169,plain,
! [SV4: $i,SV32: $i,SV29: $i] :
( ( ~ ( iext @ uri_rdf_first @ SV29 @ SV32 )
| ~ ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV4 @ SV29 )
| ~ ( ~ ! [SY75: $i] :
( ( SY75 != SV32 )
| ( icext @ SV4 @ SY75 ) )
| ~ ! [SY76: $i] :
( ~ ( icext @ SV4 @ SY76 )
| ( SY76 = SV32 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(170,plain,
! [SV4: $i,SV30: $i] :
( ( ( ! [SY74: $i] :
~ ( iext @ uri_rdf_first @ SV30 @ SY74 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV4 @ SV30 )
| ( ic @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[159]) ).
thf(171,plain,
! [SV5: $i,SV9: $i,SV7: $i] :
( ( ( ~ ! [SY54: $i] :
( ~ ( ~ ( iext @ SV7 @ SY54 @ ( sK6_Y @ SY54 @ SV9 @ SV7 @ SV5 ) )
| ~ ~ ( icext @ SV9 @ ( sK6_Y @ SY54 @ SV9 @ SV7 @ SV5 ) ) )
| ( icext @ SV5 @ SY54 ) ) )
= $false )
| ( ( iext @ uri_owl_allValuesFrom @ SV5 @ SV9 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV5 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[160]) ).
thf(172,plain,
! [SV9: $i,SV7: $i,SV5: $i] :
( ( ( ~ ! [SY55: $i] :
( ~ ( icext @ SV5 @ SY55 )
| ! [SY56: $i] :
( ~ ( iext @ SV7 @ SY55 @ SY56 )
| ( icext @ SV9 @ SY56 ) ) ) )
= $false )
| ( ( iext @ uri_owl_allValuesFrom @ SV5 @ SV9 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV5 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[160]) ).
thf(173,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_ObjectProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_s @ sK1_BNODE_x1 ) )
| ~ ( iext @ uri_owl_onProperty @ sK1_BNODE_x1 @ uri_ex_p ) )
| ~ ( iext @ uri_owl_allValuesFrom @ sK1_BNODE_x1 @ sK2_SY28 ) )
| ~ ( iext @ uri_owl_complementOf @ sK2_SY28 @ sK3_SY31 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[161]) ).
thf(174,plain,
( ( iext @ uri_owl_oneOf @ sK3_SY31 @ sK4_SY33 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[162]) ).
thf(175,plain,
! [SV6: $i,SV3: $i,SV8: $i] :
( ( ( ir @ SV8 )
= $false )
| ( ( ip @ SV3 )
= $false )
| ( ( ir @ SV6 )
= $false )
| ( ( iext @ SV3 @ SV6 @ SV8 )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( iext @ uri_owl_sourceIndividual @ ( sK5_Z @ SV8 @ SV6 @ SV3 ) @ SV6 )
| ~ ( iext @ uri_owl_assertionProperty @ ( sK5_Z @ SV8 @ SV6 @ SV3 ) @ SV3 ) )
| ~ ( iext @ uri_owl_targetIndividual @ ( sK5_Z @ SV8 @ SV6 @ SV3 ) @ SV8 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(176,plain,
! [SV18: $i,SV12: $i] :
( ( ( ! [SY66: $i] :
( ~ ( icext @ SV12 @ SY66 )
| ~ ( icext @ SV18 @ SY66 ) ) )
= $true )
| ( ( iext @ uri_owl_complementOf @ SV12 @ SV18 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[164]) ).
thf(177,plain,
! [SV12: $i,SV18: $i] :
( ( ( ! [SY67: $i] :
( ( icext @ SV18 @ SY67 )
| ( icext @ SV12 @ SY67 ) ) )
= $true )
| ( ( iext @ uri_owl_complementOf @ SV12 @ SV18 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[165]) ).
thf(178,plain,
! [SV31: $i,SV26: $i] :
( ( ( iext @ uri_owl_complementOf @ SV26 @ SV31 )
= $false )
| ( ( ic @ SV26 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[166]) ).
thf(179,plain,
! [SV28: $i,SV27: $i] :
( ( ( iext @ uri_owl_complementOf @ SV27 @ SV28 )
= $false )
| ( ( ic @ SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[167]) ).
thf(180,plain,
! [SV4: $i,SV24: $i,SV19: $i] :
( ( ( iext @ uri_rdf_rest @ SV19 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_first @ SV19 @ SV24 )
= $false )
| ( ( ~ ( ~ ( ( ( sK7_X @ SV24 @ SV19 @ SV4 )
!= SV24 )
| ~ ( icext @ SV4 @ ( sK7_X @ SV24 @ SV19 @ SV4 ) ) )
| ~ ( ( ( sK7_X @ SV24 @ SV19 @ SV4 )
= SV24 )
| ( icext @ SV4 @ ( sK7_X @ SV24 @ SV19 @ SV4 ) ) ) )
| ~ ( ic @ SV4 )
| ( iext @ uri_owl_oneOf @ SV4 @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(181,plain,
! [SV4: $i,SV32: $i,SV29: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV29 @ SV32 )
| ~ ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV4 @ SV29 )
| ~ ( ~ ! [SY75: $i] :
( ( SY75 != SV32 )
| ( icext @ SV4 @ SY75 ) )
| ~ ! [SY76: $i] :
( ~ ( icext @ SV4 @ SY76 )
| ( SY76 = SV32 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[169]) ).
thf(182,plain,
! [SV4: $i,SV30: $i] :
( ( ( ! [SY74: $i] :
~ ( iext @ uri_rdf_first @ SV30 @ SY74 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV4 @ SV30 )
| ( ic @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[170]) ).
thf(183,plain,
! [SV5: $i,SV9: $i,SV7: $i] :
( ( ( ! [SY54: $i] :
( ~ ( ~ ( iext @ SV7 @ SY54 @ ( sK6_Y @ SY54 @ SV9 @ SV7 @ SV5 ) )
| ~ ~ ( icext @ SV9 @ ( sK6_Y @ SY54 @ SV9 @ SV7 @ SV5 ) ) )
| ( icext @ SV5 @ SY54 ) ) )
= $true )
| ( ( iext @ uri_owl_allValuesFrom @ SV5 @ SV9 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV5 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[171]) ).
thf(184,plain,
! [SV9: $i,SV7: $i,SV5: $i] :
( ( ( ! [SY55: $i] :
( ~ ( icext @ SV5 @ SY55 )
| ! [SY56: $i] :
( ~ ( iext @ SV7 @ SY55 @ SY56 )
| ( icext @ SV9 @ SY56 ) ) ) )
= $true )
| ( ( iext @ uri_owl_allValuesFrom @ SV5 @ SV9 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV5 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[172]) ).
thf(185,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_ObjectProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_s @ sK1_BNODE_x1 ) )
| ~ ( iext @ uri_owl_onProperty @ sK1_BNODE_x1 @ uri_ex_p ) )
| ~ ( iext @ uri_owl_allValuesFrom @ sK1_BNODE_x1 @ sK2_SY28 ) )
| ~ ( iext @ uri_owl_complementOf @ sK2_SY28 @ sK3_SY31 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(186,plain,
! [SV3: $i,SV6: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( iext @ uri_owl_sourceIndividual @ ( sK5_Z @ SV8 @ SV6 @ SV3 ) @ SV6 )
| ~ ( iext @ uri_owl_assertionProperty @ ( sK5_Z @ SV8 @ SV6 @ SV3 ) @ SV3 ) )
| ~ ( iext @ uri_owl_targetIndividual @ ( sK5_Z @ SV8 @ SV6 @ SV3 ) @ SV8 ) )
= $false )
| ( ( iext @ SV3 @ SV6 @ SV8 )
= $true )
| ( ( ir @ SV6 )
= $false )
| ( ( ip @ SV3 )
= $false )
| ( ( ir @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(187,plain,
! [SV18: $i,SV33: $i,SV12: $i] :
( ( ( ~ ( icext @ SV12 @ SV33 )
| ~ ( icext @ SV18 @ SV33 ) )
= $true )
| ( ( iext @ uri_owl_complementOf @ SV12 @ SV18 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(188,plain,
! [SV12: $i,SV34: $i,SV18: $i] :
( ( ( ( icext @ SV18 @ SV34 )
| ( icext @ SV12 @ SV34 ) )
= $true )
| ( ( iext @ uri_owl_complementOf @ SV12 @ SV18 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[177]) ).
thf(189,plain,
! [SV4: $i,SV19: $i,SV24: $i] :
( ( ( ~ ( ~ ( ( ( sK7_X @ SV24 @ SV19 @ SV4 )
!= SV24 )
| ~ ( icext @ SV4 @ ( sK7_X @ SV24 @ SV19 @ SV4 ) ) )
| ~ ( ( ( sK7_X @ SV24 @ SV19 @ SV4 )
= SV24 )
| ( icext @ SV4 @ ( sK7_X @ SV24 @ SV19 @ SV4 ) ) ) )
| ~ ( ic @ SV4 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV4 @ SV19 )
= $true )
| ( ( iext @ uri_rdf_first @ SV19 @ SV24 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV19 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[180]) ).
thf(190,plain,
! [SV4: $i,SV32: $i,SV29: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV29 @ SV32 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV4 @ SV29 )
| ~ ( ~ ! [SY75: $i] :
( ( SY75 != SV32 )
| ( icext @ SV4 @ SY75 ) )
| ~ ! [SY76: $i] :
( ~ ( icext @ SV4 @ SY76 )
| ( SY76 = SV32 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[181]) ).
thf(191,plain,
! [SV4: $i,SV35: $i,SV30: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV30 @ SV35 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV4 @ SV30 )
| ( ic @ SV4 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(192,plain,
! [SV5: $i,SV9: $i,SV36: $i,SV7: $i] :
( ( ( ~ ( ~ ( iext @ SV7 @ SV36 @ ( sK6_Y @ SV36 @ SV9 @ SV7 @ SV5 ) )
| ~ ~ ( icext @ SV9 @ ( sK6_Y @ SV36 @ SV9 @ SV7 @ SV5 ) ) )
| ( icext @ SV5 @ SV36 ) )
= $true )
| ( ( iext @ uri_owl_allValuesFrom @ SV5 @ SV9 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV5 @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(193,plain,
! [SV9: $i,SV7: $i,SV37: $i,SV5: $i] :
( ( ( ~ ( icext @ SV5 @ SV37 )
| ! [SY77: $i] :
( ~ ( iext @ SV7 @ SV37 @ SY77 )
| ( icext @ SV9 @ SY77 ) ) )
= $true )
| ( ( iext @ uri_owl_allValuesFrom @ SV5 @ SV9 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV5 @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[184]) ).
thf(194,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_ObjectProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_s @ sK1_BNODE_x1 ) )
| ~ ( iext @ uri_owl_onProperty @ sK1_BNODE_x1 @ uri_ex_p ) )
| ~ ( iext @ uri_owl_allValuesFrom @ sK1_BNODE_x1 @ sK2_SY28 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[185]) ).
thf(195,plain,
( ( ~ ( iext @ uri_owl_complementOf @ sK2_SY28 @ sK3_SY31 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[185]) ).
thf(196,plain,
! [SV3: $i,SV6: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( iext @ uri_owl_sourceIndividual @ ( sK5_Z @ SV8 @ SV6 @ SV3 ) @ SV6 )
| ~ ( iext @ uri_owl_assertionProperty @ ( sK5_Z @ SV8 @ SV6 @ SV3 ) @ SV3 ) ) )
= $false )
| ( ( iext @ SV3 @ SV6 @ SV8 )
= $true )
| ( ( ir @ SV6 )
= $false )
| ( ( ip @ SV3 )
= $false )
| ( ( ir @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[186]) ).
thf(197,plain,
! [SV3: $i,SV6: $i,SV8: $i] :
( ( ( ~ ( iext @ uri_owl_targetIndividual @ ( sK5_Z @ SV8 @ SV6 @ SV3 ) @ SV8 ) )
= $false )
| ( ( iext @ SV3 @ SV6 @ SV8 )
= $true )
| ( ( ir @ SV6 )
= $false )
| ( ( ip @ SV3 )
= $false )
| ( ( ir @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[186]) ).
thf(198,plain,
! [SV18: $i,SV33: $i,SV12: $i] :
( ( ( ~ ( icext @ SV12 @ SV33 ) )
= $true )
| ( ( ~ ( icext @ SV18 @ SV33 ) )
= $true )
| ( ( iext @ uri_owl_complementOf @ SV12 @ SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[187]) ).
thf(199,plain,
! [SV12: $i,SV34: $i,SV18: $i] :
( ( ( icext @ SV18 @ SV34 )
= $true )
| ( ( icext @ SV12 @ SV34 )
= $true )
| ( ( iext @ uri_owl_complementOf @ SV12 @ SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[188]) ).
thf(200,plain,
! [SV4: $i,SV19: $i,SV24: $i] :
( ( ( ~ ( ~ ( ( ( sK7_X @ SV24 @ SV19 @ SV4 )
!= SV24 )
| ~ ( icext @ SV4 @ ( sK7_X @ SV24 @ SV19 @ SV4 ) ) )
| ~ ( ( ( sK7_X @ SV24 @ SV19 @ SV4 )
= SV24 )
| ( icext @ SV4 @ ( sK7_X @ SV24 @ SV19 @ SV4 ) ) ) ) )
= $true )
| ( ( ~ ( ic @ SV4 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV4 @ SV19 )
= $true )
| ( ( iext @ uri_rdf_first @ SV19 @ SV24 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV19 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[189]) ).
thf(201,plain,
! [SV4: $i,SV32: $i,SV29: $i] :
( ( ( iext @ uri_rdf_first @ SV29 @ SV32 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV4 @ SV29 )
| ~ ( ~ ! [SY75: $i] :
( ( SY75 != SV32 )
| ( icext @ SV4 @ SY75 ) )
| ~ ! [SY76: $i] :
( ~ ( icext @ SV4 @ SY76 )
| ( SY76 = SV32 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(202,plain,
! [SV4: $i,SV35: $i,SV30: $i] :
( ( ( iext @ uri_rdf_first @ SV30 @ SV35 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV4 @ SV30 )
| ( ic @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(203,plain,
! [SV5: $i,SV9: $i,SV36: $i,SV7: $i] :
( ( ( ~ ( ~ ( iext @ SV7 @ SV36 @ ( sK6_Y @ SV36 @ SV9 @ SV7 @ SV5 ) )
| ~ ~ ( icext @ SV9 @ ( sK6_Y @ SV36 @ SV9 @ SV7 @ SV5 ) ) ) )
= $true )
| ( ( icext @ SV5 @ SV36 )
= $true )
| ( ( iext @ uri_owl_allValuesFrom @ SV5 @ SV9 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV5 @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[192]) ).
thf(204,plain,
! [SV9: $i,SV7: $i,SV37: $i,SV5: $i] :
( ( ( ~ ( icext @ SV5 @ SV37 ) )
= $true )
| ( ( ! [SY77: $i] :
( ~ ( iext @ SV7 @ SV37 @ SY77 )
| ( icext @ SV9 @ SY77 ) ) )
= $true )
| ( ( iext @ uri_owl_allValuesFrom @ SV5 @ SV9 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV5 @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[193]) ).
thf(205,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_ObjectProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_s @ sK1_BNODE_x1 ) )
| ~ ( iext @ uri_owl_onProperty @ sK1_BNODE_x1 @ uri_ex_p ) )
| ~ ( iext @ uri_owl_allValuesFrom @ sK1_BNODE_x1 @ sK2_SY28 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[194]) ).
thf(206,plain,
( ( iext @ uri_owl_complementOf @ sK2_SY28 @ sK3_SY31 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[195]) ).
thf(207,plain,
! [SV3: $i,SV6: $i,SV8: $i] :
( ( ( ~ ( ~ ( iext @ uri_owl_sourceIndividual @ ( sK5_Z @ SV8 @ SV6 @ SV3 ) @ SV6 )
| ~ ( iext @ uri_owl_assertionProperty @ ( sK5_Z @ SV8 @ SV6 @ SV3 ) @ SV3 ) ) )
= $true )
| ( ( iext @ SV3 @ SV6 @ SV8 )
= $true )
| ( ( ir @ SV6 )
= $false )
| ( ( ip @ SV3 )
= $false )
| ( ( ir @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[196]) ).
thf(208,plain,
! [SV3: $i,SV6: $i,SV8: $i] :
( ( ( iext @ uri_owl_targetIndividual @ ( sK5_Z @ SV8 @ SV6 @ SV3 ) @ SV8 )
= $true )
| ( ( iext @ SV3 @ SV6 @ SV8 )
= $true )
| ( ( ir @ SV6 )
= $false )
| ( ( ip @ SV3 )
= $false )
| ( ( ir @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[197]) ).
thf(209,plain,
! [SV18: $i,SV33: $i,SV12: $i] :
( ( ( icext @ SV12 @ SV33 )
= $false )
| ( ( ~ ( icext @ SV18 @ SV33 ) )
= $true )
| ( ( iext @ uri_owl_complementOf @ SV12 @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(210,plain,
! [SV4: $i,SV19: $i,SV24: $i] :
( ( ( ~ ( ( ( sK7_X @ SV24 @ SV19 @ SV4 )
!= SV24 )
| ~ ( icext @ SV4 @ ( sK7_X @ SV24 @ SV19 @ SV4 ) ) )
| ~ ( ( ( sK7_X @ SV24 @ SV19 @ SV4 )
= SV24 )
| ( icext @ SV4 @ ( sK7_X @ SV24 @ SV19 @ SV4 ) ) ) )
= $false )
| ( ( ~ ( ic @ SV4 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV4 @ SV19 )
= $true )
| ( ( iext @ uri_rdf_first @ SV19 @ SV24 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV19 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(211,plain,
! [SV4: $i,SV32: $i,SV29: $i] :
( ( ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_first @ SV29 @ SV32 )
= $false )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV4 @ SV29 )
| ~ ( ~ ! [SY75: $i] :
( ( SY75 != SV32 )
| ( icext @ SV4 @ SY75 ) )
| ~ ! [SY76: $i] :
( ~ ( icext @ SV4 @ SY76 )
| ( SY76 = SV32 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(212,plain,
! [SV4: $i,SV35: $i,SV30: $i] :
( ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV35 )
= $false )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV4 @ SV30 )
| ( ic @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(213,plain,
! [SV5: $i,SV9: $i,SV36: $i,SV7: $i] :
( ( ( ~ ( iext @ SV7 @ SV36 @ ( sK6_Y @ SV36 @ SV9 @ SV7 @ SV5 ) )
| ~ ~ ( icext @ SV9 @ ( sK6_Y @ SV36 @ SV9 @ SV7 @ SV5 ) ) )
= $false )
| ( ( icext @ SV5 @ SV36 )
= $true )
| ( ( iext @ uri_owl_allValuesFrom @ SV5 @ SV9 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV5 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(214,plain,
! [SV9: $i,SV7: $i,SV37: $i,SV5: $i] :
( ( ( icext @ SV5 @ SV37 )
= $false )
| ( ( ! [SY77: $i] :
( ~ ( iext @ SV7 @ SV37 @ SY77 )
| ( icext @ SV9 @ SY77 ) ) )
= $true )
| ( ( iext @ uri_owl_allValuesFrom @ SV5 @ SV9 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV5 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(215,plain,
( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_ObjectProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_s @ sK1_BNODE_x1 ) )
| ~ ( iext @ uri_owl_onProperty @ sK1_BNODE_x1 @ uri_ex_p ) )
| ~ ( iext @ uri_owl_allValuesFrom @ sK1_BNODE_x1 @ sK2_SY28 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(216,plain,
! [SV3: $i,SV6: $i,SV8: $i] :
( ( ( ~ ( iext @ uri_owl_sourceIndividual @ ( sK5_Z @ SV8 @ SV6 @ SV3 ) @ SV6 )
| ~ ( iext @ uri_owl_assertionProperty @ ( sK5_Z @ SV8 @ SV6 @ SV3 ) @ SV3 ) )
= $false )
| ( ( iext @ SV3 @ SV6 @ SV8 )
= $true )
| ( ( ir @ SV6 )
= $false )
| ( ( ip @ SV3 )
= $false )
| ( ( ir @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(217,plain,
! [SV12: $i,SV33: $i,SV18: $i] :
( ( ( icext @ SV18 @ SV33 )
= $false )
| ( ( icext @ SV12 @ SV33 )
= $false )
| ( ( iext @ uri_owl_complementOf @ SV12 @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[209]) ).
thf(218,plain,
! [SV4: $i,SV19: $i,SV24: $i] :
( ( ( ~ ( ( ( sK7_X @ SV24 @ SV19 @ SV4 )
!= SV24 )
| ~ ( icext @ SV4 @ ( sK7_X @ SV24 @ SV19 @ SV4 ) ) ) )
= $false )
| ( ( ~ ( ic @ SV4 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV4 @ SV19 )
= $true )
| ( ( iext @ uri_rdf_first @ SV19 @ SV24 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV19 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[210]) ).
thf(219,plain,
! [SV4: $i,SV19: $i,SV24: $i] :
( ( ( ~ ( ( ( sK7_X @ SV24 @ SV19 @ SV4 )
= SV24 )
| ( icext @ SV4 @ ( sK7_X @ SV24 @ SV19 @ SV4 ) ) ) )
= $false )
| ( ( ~ ( ic @ SV4 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV4 @ SV19 )
= $true )
| ( ( iext @ uri_rdf_first @ SV19 @ SV24 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV19 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[210]) ).
thf(220,plain,
! [SV32: $i,SV29: $i,SV4: $i] :
( ( ( ~ ( iext @ uri_owl_oneOf @ SV4 @ SV29 ) )
= $true )
| ( ( ~ ( ~ ! [SY75: $i] :
( ( SY75 != SV32 )
| ( icext @ SV4 @ SY75 ) )
| ~ ! [SY76: $i] :
( ~ ( icext @ SV4 @ SY76 )
| ( SY76 = SV32 ) ) ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV29 @ SV32 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[211]) ).
thf(221,plain,
! [SV35: $i,SV30: $i,SV4: $i] :
( ( ( ~ ( iext @ uri_owl_oneOf @ SV4 @ SV30 ) )
= $true )
| ( ( ic @ SV4 )
= $true )
| ( ( iext @ uri_rdf_first @ SV30 @ SV35 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[212]) ).
thf(222,plain,
! [SV5: $i,SV9: $i,SV36: $i,SV7: $i] :
( ( ( ~ ( iext @ SV7 @ SV36 @ ( sK6_Y @ SV36 @ SV9 @ SV7 @ SV5 ) ) )
= $false )
| ( ( icext @ SV5 @ SV36 )
= $true )
| ( ( iext @ uri_owl_allValuesFrom @ SV5 @ SV9 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV5 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[213]) ).
thf(223,plain,
! [SV5: $i,SV7: $i,SV36: $i,SV9: $i] :
( ( ( ~ ~ ( icext @ SV9 @ ( sK6_Y @ SV36 @ SV9 @ SV7 @ SV5 ) ) )
= $false )
| ( ( icext @ SV5 @ SV36 )
= $true )
| ( ( iext @ uri_owl_allValuesFrom @ SV5 @ SV9 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV5 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[213]) ).
thf(224,plain,
! [SV5: $i,SV9: $i,SV38: $i,SV37: $i,SV7: $i] :
( ( ( ~ ( iext @ SV7 @ SV37 @ SV38 )
| ( icext @ SV9 @ SV38 ) )
= $true )
| ( ( icext @ SV5 @ SV37 )
= $false )
| ( ( iext @ uri_owl_allValuesFrom @ SV5 @ SV9 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV5 @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[214]) ).
thf(225,plain,
( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_ObjectProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_s @ sK1_BNODE_x1 ) )
| ~ ( iext @ uri_owl_onProperty @ sK1_BNODE_x1 @ uri_ex_p ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[215]) ).
thf(226,plain,
( ( ~ ( iext @ uri_owl_allValuesFrom @ sK1_BNODE_x1 @ sK2_SY28 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[215]) ).
thf(227,plain,
! [SV3: $i,SV6: $i,SV8: $i] :
( ( ( ~ ( iext @ uri_owl_sourceIndividual @ ( sK5_Z @ SV8 @ SV6 @ SV3 ) @ SV6 ) )
= $false )
| ( ( iext @ SV3 @ SV6 @ SV8 )
= $true )
| ( ( ir @ SV6 )
= $false )
| ( ( ip @ SV3 )
= $false )
| ( ( ir @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[216]) ).
thf(228,plain,
! [SV3: $i,SV6: $i,SV8: $i] :
( ( ( ~ ( iext @ uri_owl_assertionProperty @ ( sK5_Z @ SV8 @ SV6 @ SV3 ) @ SV3 ) )
= $false )
| ( ( iext @ SV3 @ SV6 @ SV8 )
= $true )
| ( ( ir @ SV6 )
= $false )
| ( ( ip @ SV3 )
= $false )
| ( ( ir @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[216]) ).
thf(229,plain,
! [SV4: $i,SV19: $i,SV24: $i] :
( ( ( ( ( sK7_X @ SV24 @ SV19 @ SV4 )
!= SV24 )
| ~ ( icext @ SV4 @ ( sK7_X @ SV24 @ SV19 @ SV4 ) ) )
= $true )
| ( ( ~ ( ic @ SV4 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV4 @ SV19 )
= $true )
| ( ( iext @ uri_rdf_first @ SV19 @ SV24 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV19 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[218]) ).
thf(230,plain,
! [SV4: $i,SV19: $i,SV24: $i] :
( ( ( ( ( sK7_X @ SV24 @ SV19 @ SV4 )
= SV24 )
| ( icext @ SV4 @ ( sK7_X @ SV24 @ SV19 @ SV4 ) ) )
= $true )
| ( ( ~ ( ic @ SV4 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV4 @ SV19 )
= $true )
| ( ( iext @ uri_rdf_first @ SV19 @ SV24 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV19 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[219]) ).
thf(231,plain,
! [SV32: $i,SV29: $i,SV4: $i] :
( ( ( iext @ uri_owl_oneOf @ SV4 @ SV29 )
= $false )
| ( ( ~ ( ~ ! [SY75: $i] :
( ( SY75 != SV32 )
| ( icext @ SV4 @ SY75 ) )
| ~ ! [SY76: $i] :
( ~ ( icext @ SV4 @ SY76 )
| ( SY76 = SV32 ) ) ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV29 @ SV32 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[220]) ).
thf(232,plain,
! [SV35: $i,SV30: $i,SV4: $i] :
( ( ( iext @ uri_owl_oneOf @ SV4 @ SV30 )
= $false )
| ( ( ic @ SV4 )
= $true )
| ( ( iext @ uri_rdf_first @ SV30 @ SV35 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[221]) ).
thf(233,plain,
! [SV5: $i,SV9: $i,SV36: $i,SV7: $i] :
( ( ( iext @ SV7 @ SV36 @ ( sK6_Y @ SV36 @ SV9 @ SV7 @ SV5 ) )
= $true )
| ( ( icext @ SV5 @ SV36 )
= $true )
| ( ( iext @ uri_owl_allValuesFrom @ SV5 @ SV9 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV5 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[222]) ).
thf(234,plain,
! [SV5: $i,SV7: $i,SV36: $i,SV9: $i] :
( ( ( ~ ( icext @ SV9 @ ( sK6_Y @ SV36 @ SV9 @ SV7 @ SV5 ) ) )
= $true )
| ( ( icext @ SV5 @ SV36 )
= $true )
| ( ( iext @ uri_owl_allValuesFrom @ SV5 @ SV9 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV5 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[223]) ).
thf(235,plain,
! [SV5: $i,SV9: $i,SV38: $i,SV37: $i,SV7: $i] :
( ( ( ~ ( iext @ SV7 @ SV37 @ SV38 ) )
= $true )
| ( ( icext @ SV9 @ SV38 )
= $true )
| ( ( icext @ SV5 @ SV37 )
= $false )
| ( ( iext @ uri_owl_allValuesFrom @ SV5 @ SV9 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV5 @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[224]) ).
thf(236,plain,
( ( ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_ObjectProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_s @ sK1_BNODE_x1 ) )
| ~ ( iext @ uri_owl_onProperty @ sK1_BNODE_x1 @ uri_ex_p ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[225]) ).
thf(237,plain,
( ( iext @ uri_owl_allValuesFrom @ sK1_BNODE_x1 @ sK2_SY28 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[226]) ).
thf(238,plain,
! [SV3: $i,SV6: $i,SV8: $i] :
( ( ( iext @ uri_owl_sourceIndividual @ ( sK5_Z @ SV8 @ SV6 @ SV3 ) @ SV6 )
= $true )
| ( ( iext @ SV3 @ SV6 @ SV8 )
= $true )
| ( ( ir @ SV6 )
= $false )
| ( ( ip @ SV3 )
= $false )
| ( ( ir @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[227]) ).
thf(239,plain,
! [SV3: $i,SV6: $i,SV8: $i] :
( ( ( iext @ uri_owl_assertionProperty @ ( sK5_Z @ SV8 @ SV6 @ SV3 ) @ SV3 )
= $true )
| ( ( iext @ SV3 @ SV6 @ SV8 )
= $true )
| ( ( ir @ SV6 )
= $false )
| ( ( ip @ SV3 )
= $false )
| ( ( ir @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[228]) ).
thf(240,plain,
! [SV4: $i,SV19: $i,SV24: $i] :
( ( ( ( sK7_X @ SV24 @ SV19 @ SV4 )
!= SV24 )
= $true )
| ( ( ~ ( icext @ SV4 @ ( sK7_X @ SV24 @ SV19 @ SV4 ) ) )
= $true )
| ( ( ~ ( ic @ SV4 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV4 @ SV19 )
= $true )
| ( ( iext @ uri_rdf_first @ SV19 @ SV24 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV19 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[229]) ).
thf(241,plain,
! [SV4: $i,SV19: $i,SV24: $i] :
( ( ( ( sK7_X @ SV24 @ SV19 @ SV4 )
= SV24 )
= $true )
| ( ( icext @ SV4 @ ( sK7_X @ SV24 @ SV19 @ SV4 ) )
= $true )
| ( ( ~ ( ic @ SV4 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV4 @ SV19 )
= $true )
| ( ( iext @ uri_rdf_first @ SV19 @ SV24 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV19 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[230]) ).
thf(242,plain,
! [SV29: $i,SV4: $i,SV32: $i] :
( ( ( ~ ! [SY75: $i] :
( ( SY75 != SV32 )
| ( icext @ SV4 @ SY75 ) )
| ~ ! [SY76: $i] :
( ~ ( icext @ SV4 @ SY76 )
| ( SY76 = SV32 ) ) )
= $false )
| ( ( iext @ uri_owl_oneOf @ SV4 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_first @ SV29 @ SV32 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[231]) ).
thf(243,plain,
! [SV5: $i,SV7: $i,SV36: $i,SV9: $i] :
( ( ( icext @ SV9 @ ( sK6_Y @ SV36 @ SV9 @ SV7 @ SV5 ) )
= $false )
| ( ( icext @ SV5 @ SV36 )
= $true )
| ( ( iext @ uri_owl_allValuesFrom @ SV5 @ SV9 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV5 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[234]) ).
thf(244,plain,
! [SV5: $i,SV9: $i,SV38: $i,SV37: $i,SV7: $i] :
( ( ( iext @ SV7 @ SV37 @ SV38 )
= $false )
| ( ( icext @ SV9 @ SV38 )
= $true )
| ( ( icext @ SV5 @ SV37 )
= $false )
| ( ( iext @ uri_owl_allValuesFrom @ SV5 @ SV9 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV5 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[235]) ).
thf(245,plain,
( ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_ObjectProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_s @ sK1_BNODE_x1 ) )
| ~ ( iext @ uri_owl_onProperty @ sK1_BNODE_x1 @ uri_ex_p ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[236]) ).
thf(246,plain,
! [SV4: $i,SV19: $i,SV24: $i] :
( ( ( ( sK7_X @ SV24 @ SV19 @ SV4 )
= SV24 )
= $false )
| ( ( ~ ( icext @ SV4 @ ( sK7_X @ SV24 @ SV19 @ SV4 ) ) )
= $true )
| ( ( ~ ( ic @ SV4 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV4 @ SV19 )
= $true )
| ( ( iext @ uri_rdf_first @ SV19 @ SV24 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV19 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(247,plain,
! [SV19: $i,SV24: $i,SV4: $i] :
( ( ( ic @ SV4 )
= $false )
| ( ( icext @ SV4 @ ( sK7_X @ SV24 @ SV19 @ SV4 ) )
= $true )
| ( ( ( sK7_X @ SV24 @ SV19 @ SV4 )
= SV24 )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV4 @ SV19 )
= $true )
| ( ( iext @ uri_rdf_first @ SV19 @ SV24 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV19 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(248,plain,
! [SV29: $i,SV4: $i,SV32: $i] :
( ( ( ~ ! [SY75: $i] :
( ( SY75 != SV32 )
| ( icext @ SV4 @ SY75 ) ) )
= $false )
| ( ( iext @ uri_owl_oneOf @ SV4 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_first @ SV29 @ SV32 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[242]) ).
thf(249,plain,
! [SV29: $i,SV32: $i,SV4: $i] :
( ( ( ~ ! [SY76: $i] :
( ~ ( icext @ SV4 @ SY76 )
| ( SY76 = SV32 ) ) )
= $false )
| ( ( iext @ uri_owl_oneOf @ SV4 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_first @ SV29 @ SV32 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[242]) ).
thf(250,plain,
( ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_ObjectProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_s @ sK1_BNODE_x1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[245]) ).
thf(251,plain,
( ( ~ ( iext @ uri_owl_onProperty @ sK1_BNODE_x1 @ uri_ex_p ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[245]) ).
thf(252,plain,
! [SV19: $i,SV24: $i,SV4: $i] :
( ( ( icext @ SV4 @ ( sK7_X @ SV24 @ SV19 @ SV4 ) )
= $false )
| ( ( ( sK7_X @ SV24 @ SV19 @ SV4 )
= SV24 )
= $false )
| ( ( ~ ( ic @ SV4 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV4 @ SV19 )
= $true )
| ( ( iext @ uri_rdf_first @ SV19 @ SV24 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV19 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[246]) ).
thf(253,plain,
! [SV29: $i,SV4: $i,SV32: $i] :
( ( ( ! [SY75: $i] :
( ( SY75 != SV32 )
| ( icext @ SV4 @ SY75 ) ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV4 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_first @ SV29 @ SV32 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[248]) ).
thf(254,plain,
! [SV29: $i,SV32: $i,SV4: $i] :
( ( ( ! [SY76: $i] :
( ~ ( icext @ SV4 @ SY76 )
| ( SY76 = SV32 ) ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV4 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_first @ SV29 @ SV32 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[249]) ).
thf(255,plain,
( ( ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_ObjectProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_s @ sK1_BNODE_x1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[250]) ).
thf(256,plain,
( ( iext @ uri_owl_onProperty @ sK1_BNODE_x1 @ uri_ex_p )
= $true ),
inference(extcnf_not_neg,[status(thm)],[251]) ).
thf(257,plain,
! [SV19: $i,SV24: $i,SV4: $i] :
( ( ( ic @ SV4 )
= $false )
| ( ( ( sK7_X @ SV24 @ SV19 @ SV4 )
= SV24 )
= $false )
| ( ( icext @ SV4 @ ( sK7_X @ SV24 @ SV19 @ SV4 ) )
= $false )
| ( ( iext @ uri_owl_oneOf @ SV4 @ SV19 )
= $true )
| ( ( iext @ uri_rdf_first @ SV19 @ SV24 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV19 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[252]) ).
thf(258,plain,
! [SV29: $i,SV4: $i,SV32: $i,SV39: $i] :
( ( ( ( SV39 != SV32 )
| ( icext @ SV4 @ SV39 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV4 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_first @ SV29 @ SV32 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[253]) ).
thf(259,plain,
! [SV29: $i,SV32: $i,SV40: $i,SV4: $i] :
( ( ( ~ ( icext @ SV4 @ SV40 )
| ( SV40 = SV32 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV4 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_first @ SV29 @ SV32 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[254]) ).
thf(260,plain,
( ( ~ ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_ObjectProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_s @ sK1_BNODE_x1 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(261,plain,
! [SV29: $i,SV4: $i,SV32: $i,SV39: $i] :
( ( ( SV39 != SV32 )
= $true )
| ( ( icext @ SV4 @ SV39 )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV4 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_first @ SV29 @ SV32 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[258]) ).
thf(262,plain,
! [SV29: $i,SV32: $i,SV40: $i,SV4: $i] :
( ( ( ~ ( icext @ SV4 @ SV40 ) )
= $true )
| ( ( SV40 = SV32 )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV4 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_first @ SV29 @ SV32 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[259]) ).
thf(263,plain,
( ( ~ ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_ObjectProperty ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[260]) ).
thf(264,plain,
( ( ~ ( iext @ uri_rdf_type @ uri_ex_s @ sK1_BNODE_x1 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[260]) ).
thf(265,plain,
! [SV29: $i,SV4: $i,SV32: $i,SV39: $i] :
( ( ( SV39 = SV32 )
= $false )
| ( ( icext @ SV4 @ SV39 )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV4 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_first @ SV29 @ SV32 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[261]) ).
thf(266,plain,
! [SV29: $i,SV32: $i,SV40: $i,SV4: $i] :
( ( ( icext @ SV4 @ SV40 )
= $false )
| ( ( SV40 = SV32 )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV4 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_first @ SV29 @ SV32 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(267,plain,
( ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_ObjectProperty )
= $true ),
inference(extcnf_not_neg,[status(thm)],[263]) ).
thf(268,plain,
( ( iext @ uri_rdf_type @ uri_ex_s @ sK1_BNODE_x1 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[264]) ).
thf(269,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[50,268,267,266,265,257,256,247,244,243,239,238,237,233,232,217,208,206,199,179,178,174,152,149,148,147,146,138,137,135,88]) ).
thf(270,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[269]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB010+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
% 0.07/0.19 % Computer : n004.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Oct 6 15:51:09 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.97/0.46
% 0.97/0.46 No.of.Axioms: 9
% 0.97/0.46
% 0.97/0.46 Length.of.Defs: 0
% 0.97/0.46
% 0.97/0.46 Contains.Choice.Funs: false
% 0.97/0.46 ...........
% 0.97/0.46
% 0.97/0.46 ********************************
% 0.97/0.46 * All subproblems solved! *
% 0.97/0.46 ********************************
% 0.97/0.46 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:9,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:269,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.97/0.46
% 0.97/0.46 %**** Beginning of derivation protocol ****
% 0.97/0.46 % SZS output start CNFRefutation
% See solution above
% 0.97/0.46
% 0.97/0.46 %**** End of derivation protocol ****
% 0.97/0.46 %**** no. of clauses in derivation: 270 ****
% 0.97/0.46 %**** clause counter: 269 ****
% 0.97/0.46
% 0.97/0.46 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:9,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:269,loop_count:0,foatp_calls:1,translation:fof_full)
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