%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SWB022+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/sandbox2/solver/bin/eprover /export/starexec/sandbox2/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 10:50:45 AM UTC 2026
% Result : Theorem 2.97s 0.80s
% Output : CNFRefutation 2.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 83
% Number of leaves : 4
% Syntax : Number of formulae : 664 ( 402 unt; 0 typ; 0 def)
% Number of atoms : 9879 (1850 equ; 0 cnn)
% Maximal formula atoms : 19 ( 14 avg)
% Number of connectives : 35384 (12474 ~;5349 |; 141 &;17395 @)
% ( 5 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 51 ( 48 usr; 39 con; 0-5 aty)
% Number of variables : 2401 ( 0 ^;2361 !; 40 ?;2401 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_iext,type,
iext: $i > $i > $i > $o ).
thf(tp_ip,type,
ip: $i > $o ).
thf(tp_sK10_SY97,type,
sK10_SY97: $i > $i > $i > $i > $i > $i ).
thf(tp_sK11_SY99,type,
sK11_SY99: $i > $i > $i > $i > $i > $i ).
thf(tp_sK12_SX0,type,
sK12_SX0: $i ).
thf(tp_sK13_SY115,type,
sK13_SY115: $i ).
thf(tp_sK14_SY146,type,
sK14_SY146: $i ).
thf(tp_sK15_SY159,type,
sK15_SY159: $i ).
thf(tp_sK16_SY164,type,
sK16_SY164: $i ).
thf(tp_sK17_SY168,type,
sK17_SY168: $i ).
thf(tp_sK18_SY171,type,
sK18_SY171: $i ).
thf(tp_sK19_SY173,type,
sK19_SY173: $i ).
thf(tp_sK1_SX0,type,
sK1_SX0: $i ).
thf(tp_sK20_SY155,type,
sK20_SY155: $i > $i > $i > $i > $i > $i ).
thf(tp_sK21_SY177,type,
sK21_SY177: $i > $i > $i > $i > $i > $i ).
thf(tp_sK22_SY179,type,
sK22_SY179: $i > $i > $i > $i > $i > $i ).
thf(tp_sK23_SX0,type,
sK23_SX0: $i ).
thf(tp_sK24_SY193,type,
sK24_SY193: $i ).
thf(tp_sK25_SY226,type,
sK25_SY226: $i ).
thf(tp_sK26_SY238,type,
sK26_SY238: $i ).
thf(tp_sK27_SY244,type,
sK27_SY244: $i ).
thf(tp_sK28_SY248,type,
sK28_SY248: $i ).
thf(tp_sK29_SY251,type,
sK29_SY251: $i ).
thf(tp_sK2_SY44,type,
sK2_SY44: $i ).
thf(tp_sK30_SY253,type,
sK30_SY253: $i ).
thf(tp_sK31_SY235,type,
sK31_SY235: $i > $i > $i > $i > $i > $i ).
thf(tp_sK32_SY257,type,
sK32_SY257: $i > $i > $i > $i > $i > $i ).
thf(tp_sK33_SY259,type,
sK33_SY259: $i > $i > $i > $i > $i > $i ).
thf(tp_sK3_SY72,type,
sK3_SY72: $i ).
thf(tp_sK4_SY79,type,
sK4_SY79: $i ).
thf(tp_sK5_SY84,type,
sK5_SY84: $i ).
thf(tp_sK6_SY88,type,
sK6_SY88: $i ).
thf(tp_sK7_SY91,type,
sK7_SY91: $i ).
thf(tp_sK8_SY93,type,
sK8_SY93: $i ).
thf(tp_sK9_SY69,type,
sK9_SY69: $i > $i > $i > $i > $i > $i ).
thf(tp_uri_ex_MyOrderedCollection,type,
uri_ex_MyOrderedCollection: $i ).
thf(tp_uri_ex_X,type,
uri_ex_X: $i ).
thf(tp_uri_ex_Y,type,
uri_ex_Y: $i ).
thf(tp_uri_ex_Z,type,
uri_ex_Z: $i ).
thf(tp_uri_owl_propertyChainAxiom,type,
uri_owl_propertyChainAxiom: $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(tp_uri_rdfs_subPropertyOf,type,
uri_rdfs_subPropertyOf: $i ).
thf(tp_uri_skos_OrderedCollection,type,
uri_skos_OrderedCollection: $i ).
thf(tp_uri_skos_member,type,
uri_skos_member: $i ).
thf(tp_uri_skos_memberList,type,
uri_skos_memberList: $i ).
thf(1,axiom,
? [BNODE_pL: $i,BNODE_l11: $i,BNODE_l12: $i,BNODE_l21: $i,BNODE_l22: $i,BNODE_l31: $i,BNODE_l32: $i,BNODE_l33: $i] :
( ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ BNODE_pL )
& ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ BNODE_l11 )
& ( iext @ uri_rdf_first @ BNODE_l11 @ BNODE_pL )
& ( iext @ uri_rdf_rest @ BNODE_l11 @ BNODE_l12 )
& ( iext @ uri_rdf_first @ BNODE_l12 @ uri_rdf_first )
& ( iext @ uri_rdf_rest @ BNODE_l12 @ uri_rdf_nil )
& ( iext @ uri_owl_propertyChainAxiom @ BNODE_pL @ BNODE_l21 )
& ( iext @ uri_rdf_first @ BNODE_l21 @ BNODE_pL )
& ( iext @ uri_rdf_rest @ BNODE_l21 @ BNODE_l22 )
& ( iext @ uri_rdf_first @ BNODE_l22 @ uri_rdf_rest )
& ( iext @ uri_rdf_rest @ BNODE_l22 @ uri_rdf_nil )
& ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection )
& ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ BNODE_l31 )
& ( iext @ uri_rdf_first @ BNODE_l31 @ uri_ex_X )
& ( iext @ uri_rdf_rest @ BNODE_l31 @ BNODE_l32 )
& ( iext @ uri_rdf_first @ BNODE_l32 @ uri_ex_Y )
& ( iext @ uri_rdf_rest @ BNODE_l32 @ BNODE_l33 )
& ( iext @ uri_rdf_first @ BNODE_l33 @ uri_ex_Z )
& ( iext @ uri_rdf_rest @ BNODE_l33 @ uri_rdf_nil ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_022_List_Member_Access) ).
thf(2,axiom,
! [P: $i,S1: $i,P1: $i,S2: $i,P2: $i] :
( ( ( iext @ uri_rdf_first @ S1 @ P1 )
& ( iext @ uri_rdf_rest @ S1 @ S2 )
& ( iext @ uri_rdf_first @ S2 @ P2 )
& ( iext @ uri_rdf_rest @ S2 @ uri_rdf_nil ) )
=> ( ( iext @ uri_owl_propertyChainAxiom @ P @ S1 )
<=> ( ( ip @ P )
& ( ip @ P1 )
& ( ip @ P2 )
& ! [Y0: $i,Y1: $i,Y2: $i] :
( ( ( iext @ P1 @ Y0 @ Y1 )
& ( iext @ P2 @ Y1 @ Y2 ) )
=> ( iext @ P @ Y0 @ Y2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_chain_002) ).
thf(3,axiom,
! [P: $i,Q: $i] :
( ( iext @ uri_rdfs_subPropertyOf @ P @ Q )
=> ( ( ip @ P )
& ( ip @ Q )
& ! [X: $i,Y: $i] :
( ( iext @ P @ X @ Y )
=> ( iext @ Q @ X @ Y ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_subpropertyof_main) ).
thf(4,conjecture,
( ( iext @ uri_skos_member @ uri_ex_MyOrderedCollection @ uri_ex_X )
& ( iext @ uri_skos_member @ uri_ex_MyOrderedCollection @ uri_ex_Y )
& ( iext @ uri_skos_member @ uri_ex_MyOrderedCollection @ uri_ex_Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_022_List_Member_Access) ).
thf(5,negated_conjecture,
( ( ( iext @ uri_skos_member @ uri_ex_MyOrderedCollection @ uri_ex_X )
& ( iext @ uri_skos_member @ uri_ex_MyOrderedCollection @ uri_ex_Y )
& ( iext @ uri_skos_member @ uri_ex_MyOrderedCollection @ uri_ex_Z ) )
= $false ),
inference(negate_conjecture,[status(cth)],[4]) ).
thf(6,plain,
( ( ( iext @ uri_skos_member @ uri_ex_MyOrderedCollection @ uri_ex_X )
& ( iext @ uri_skos_member @ uri_ex_MyOrderedCollection @ uri_ex_Y )
& ( iext @ uri_skos_member @ uri_ex_MyOrderedCollection @ uri_ex_Z ) )
= $false ),
inference(unfold_def,[status(thm)],[5]) ).
thf(7,plain,
( ( ? [BNODE_pL: $i,BNODE_l11: $i,BNODE_l12: $i,BNODE_l21: $i,BNODE_l22: $i,BNODE_l31: $i,BNODE_l32: $i,BNODE_l33: $i] :
( ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ BNODE_pL )
& ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ BNODE_l11 )
& ( iext @ uri_rdf_first @ BNODE_l11 @ BNODE_pL )
& ( iext @ uri_rdf_rest @ BNODE_l11 @ BNODE_l12 )
& ( iext @ uri_rdf_first @ BNODE_l12 @ uri_rdf_first )
& ( iext @ uri_rdf_rest @ BNODE_l12 @ uri_rdf_nil )
& ( iext @ uri_owl_propertyChainAxiom @ BNODE_pL @ BNODE_l21 )
& ( iext @ uri_rdf_first @ BNODE_l21 @ BNODE_pL )
& ( iext @ uri_rdf_rest @ BNODE_l21 @ BNODE_l22 )
& ( iext @ uri_rdf_first @ BNODE_l22 @ uri_rdf_rest )
& ( iext @ uri_rdf_rest @ BNODE_l22 @ uri_rdf_nil )
& ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection )
& ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ BNODE_l31 )
& ( iext @ uri_rdf_first @ BNODE_l31 @ uri_ex_X )
& ( iext @ uri_rdf_rest @ BNODE_l31 @ BNODE_l32 )
& ( iext @ uri_rdf_first @ BNODE_l32 @ uri_ex_Y )
& ( iext @ uri_rdf_rest @ BNODE_l32 @ BNODE_l33 )
& ( iext @ uri_rdf_first @ BNODE_l33 @ uri_ex_Z )
& ( iext @ uri_rdf_rest @ BNODE_l33 @ uri_rdf_nil ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(8,plain,
( ( ! [P: $i,S1: $i,P1: $i,S2: $i,P2: $i] :
( ( ( iext @ uri_rdf_first @ S1 @ P1 )
& ( iext @ uri_rdf_rest @ S1 @ S2 )
& ( iext @ uri_rdf_first @ S2 @ P2 )
& ( iext @ uri_rdf_rest @ S2 @ uri_rdf_nil ) )
=> ( ( iext @ uri_owl_propertyChainAxiom @ P @ S1 )
<=> ( ( ip @ P )
& ( ip @ P1 )
& ( ip @ P2 )
& ! [Y0: $i,Y1: $i,Y2: $i] :
( ( ( iext @ P1 @ Y0 @ Y1 )
& ( iext @ P2 @ Y1 @ Y2 ) )
=> ( iext @ P @ Y0 @ Y2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(9,plain,
( ( ! [P: $i,Q: $i] :
( ( iext @ uri_rdfs_subPropertyOf @ P @ Q )
=> ( ( ip @ P )
& ( ip @ Q )
& ! [X: $i,Y: $i] :
( ( iext @ P @ X @ Y )
=> ( iext @ Q @ X @ Y ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(10,plain,
( ( iext @ uri_skos_member @ uri_ex_MyOrderedCollection @ uri_ex_X )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[6]) ).
thf(11,plain,
( ( iext @ uri_skos_member @ uri_ex_MyOrderedCollection @ uri_ex_Y )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[6]) ).
thf(12,plain,
( ( iext @ uri_skos_member @ uri_ex_MyOrderedCollection @ uri_ex_Z )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[6]) ).
thf(13,plain,
( ( ~ ( iext @ uri_skos_member @ uri_ex_MyOrderedCollection @ uri_ex_X ) )
= $true ),
inference(polarity_switch,[status(thm)],[10]) ).
thf(14,plain,
( ( ~ ( iext @ uri_skos_member @ uri_ex_MyOrderedCollection @ uri_ex_Y ) )
= $true ),
inference(polarity_switch,[status(thm)],[11]) ).
thf(15,plain,
( ( ~ ( iext @ uri_skos_member @ uri_ex_MyOrderedCollection @ uri_ex_Z ) )
= $true ),
inference(polarity_switch,[status(thm)],[12]) ).
thf(16,plain,
( ( ! [P: $i,Q: $i] :
( ( iext @ uri_rdfs_subPropertyOf @ P @ Q )
=> ( ( ip @ P )
& ( ip @ Q )
& ! [X: $i,Y: $i] :
( ( iext @ P @ X @ Y )
=> ( iext @ Q @ X @ Y ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(17,plain,
( ( ! [P: $i,S1: $i,P1: $i,S2: $i,P2: $i] :
( ( ( iext @ uri_rdf_first @ S1 @ P1 )
& ( iext @ uri_rdf_rest @ S1 @ S2 )
& ( iext @ uri_rdf_first @ S2 @ P2 )
& ( iext @ uri_rdf_rest @ S2 @ uri_rdf_nil ) )
=> ( ( iext @ uri_owl_propertyChainAxiom @ P @ S1 )
<=> ( ( ip @ P )
& ( ip @ P1 )
& ( ip @ P2 )
& ! [Y0: $i,Y1: $i,Y2: $i] :
( ( ( iext @ P1 @ Y0 @ Y1 )
& ( iext @ P2 @ Y1 @ Y2 ) )
=> ( iext @ P @ Y0 @ Y2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(18,plain,
( ( ? [BNODE_pL: $i,BNODE_l11: $i,BNODE_l12: $i,BNODE_l21: $i,BNODE_l22: $i,BNODE_l31: $i,BNODE_l32: $i,BNODE_l33: $i] :
( ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ BNODE_pL )
& ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ BNODE_l11 )
& ( iext @ uri_rdf_first @ BNODE_l11 @ BNODE_pL )
& ( iext @ uri_rdf_rest @ BNODE_l11 @ BNODE_l12 )
& ( iext @ uri_rdf_first @ BNODE_l12 @ uri_rdf_first )
& ( iext @ uri_rdf_rest @ BNODE_l12 @ uri_rdf_nil )
& ( iext @ uri_owl_propertyChainAxiom @ BNODE_pL @ BNODE_l21 )
& ( iext @ uri_rdf_first @ BNODE_l21 @ BNODE_pL )
& ( iext @ uri_rdf_rest @ BNODE_l21 @ BNODE_l22 )
& ( iext @ uri_rdf_first @ BNODE_l22 @ uri_rdf_rest )
& ( iext @ uri_rdf_rest @ BNODE_l22 @ uri_rdf_nil )
& ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection )
& ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ BNODE_l31 )
& ( iext @ uri_rdf_first @ BNODE_l31 @ uri_ex_X )
& ( iext @ uri_rdf_rest @ BNODE_l31 @ BNODE_l32 )
& ( iext @ uri_rdf_first @ BNODE_l32 @ uri_ex_Y )
& ( iext @ uri_rdf_rest @ BNODE_l32 @ BNODE_l33 )
& ( iext @ uri_rdf_first @ BNODE_l33 @ uri_ex_Z )
& ( iext @ uri_rdf_rest @ BNODE_l33 @ uri_rdf_nil ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(19,plain,
( ( ~ ( iext @ uri_skos_member @ uri_ex_MyOrderedCollection @ uri_ex_X ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(20,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX1 )
| ~ ( ~ ~ ( ~ ( ip @ SX0 )
| ~ ( ip @ SX1 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( iext @ SX0 @ SX2 @ SX3 )
| ( iext @ SX1 @ SX2 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(21,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SX1 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SX1 @ SX3 ) )
| ~ ( iext @ uri_rdf_first @ SX3 @ SX4 ) )
| ~ ( iext @ uri_rdf_rest @ SX3 @ uri_rdf_nil ) )
| ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SX0 @ SX1 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SX0 )
| ~ ( ip @ SX2 ) )
| ~ ( ip @ SX4 ) )
| ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( iext @ SX2 @ SX5 @ SX6 )
| ~ ( iext @ SX4 @ SX6 @ SX7 ) )
| ( iext @ SX0 @ SX5 @ SX7 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SX0 )
| ~ ( ip @ SX2 ) )
| ~ ( ip @ SX4 ) )
| ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( iext @ SX2 @ SX5 @ SX6 )
| ~ ( iext @ SX4 @ SX6 @ SX7 ) )
| ( iext @ SX0 @ SX5 @ SX7 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(22,plain,
( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ~ ! [SX6: $i] :
~ ~ ! [SX7: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ SX1 ) )
| ~ ( iext @ uri_rdf_first @ SX1 @ SX0 ) )
| ~ ( iext @ uri_rdf_rest @ SX1 @ SX2 ) )
| ~ ( iext @ uri_rdf_first @ SX2 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ SX2 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SX0 @ SX3 ) )
| ~ ( iext @ uri_rdf_first @ SX3 @ SX0 ) )
| ~ ( iext @ uri_rdf_rest @ SX3 @ SX4 ) )
| ~ ( iext @ uri_rdf_first @ SX4 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ SX4 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ SX5 ) )
| ~ ( iext @ uri_rdf_first @ SX5 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ SX5 @ SX6 ) )
| ~ ( iext @ uri_rdf_first @ SX6 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SX6 @ SX7 ) )
| ~ ( iext @ uri_rdf_first @ SX7 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SX7 @ uri_rdf_nil ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(23,plain,
( ( iext @ uri_skos_member @ uri_ex_MyOrderedCollection @ uri_ex_X )
= $false ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(24,plain,
! [SV1: $i] :
( ( ! [SY20: $i] :
( ~ ( iext @ uri_rdfs_subPropertyOf @ SV1 @ SY20 )
| ~ ( ~ ~ ( ~ ( ip @ SV1 )
| ~ ( ip @ SY20 ) )
| ~ ! [SY21: $i,SY22: $i] :
( ~ ( iext @ SV1 @ SY21 @ SY22 )
| ( iext @ SY20 @ SY21 @ SY22 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[20]) ).
thf(25,plain,
! [SV2: $i] :
( ( ! [SY23: $i,SY24: $i,SY25: $i,SY26: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SY23 @ SY24 )
| ~ ( iext @ uri_rdf_rest @ SY23 @ SY25 ) )
| ~ ( iext @ uri_rdf_first @ SY25 @ SY26 ) )
| ~ ( iext @ uri_rdf_rest @ SY25 @ uri_rdf_nil ) )
| ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SY23 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SY24 ) )
| ~ ( ip @ SY26 ) )
| ~ ! [SY27: $i,SY28: $i,SY29: $i] :
( ~ ~ ( ~ ( iext @ SY24 @ SY27 @ SY28 )
| ~ ( iext @ SY26 @ SY28 @ SY29 ) )
| ( iext @ SV2 @ SY27 @ SY29 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SY24 ) )
| ~ ( ip @ SY26 ) )
| ~ ! [SY30: $i,SY31: $i,SY32: $i] :
( ~ ~ ( ~ ( iext @ SY24 @ SY30 @ SY31 )
| ~ ( iext @ SY26 @ SY31 @ SY32 ) )
| ( iext @ SV2 @ SY30 @ SY32 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SY23 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(26,plain,
( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ~ ! [SX6: $i] :
~ ~ ! [SX7: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ SX1 ) )
| ~ ( iext @ uri_rdf_first @ SX1 @ SX0 ) )
| ~ ( iext @ uri_rdf_rest @ SX1 @ SX2 ) )
| ~ ( iext @ uri_rdf_first @ SX2 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ SX2 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SX0 @ SX3 ) )
| ~ ( iext @ uri_rdf_first @ SX3 @ SX0 ) )
| ~ ( iext @ uri_rdf_rest @ SX3 @ SX4 ) )
| ~ ( iext @ uri_rdf_first @ SX4 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ SX4 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ SX5 ) )
| ~ ( iext @ uri_rdf_first @ SX5 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ SX5 @ SX6 ) )
| ~ ( iext @ uri_rdf_first @ SX6 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SX6 @ SX7 ) )
| ~ ( iext @ uri_rdf_first @ SX7 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SX7 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(27,plain,
! [SV3: $i,SV1: $i] :
( ( ~ ( iext @ uri_rdfs_subPropertyOf @ SV1 @ SV3 )
| ~ ( ~ ~ ( ~ ( ip @ SV1 )
| ~ ( ip @ SV3 ) )
| ~ ! [SY33: $i,SY34: $i] :
( ~ ( iext @ SV1 @ SY33 @ SY34 )
| ( iext @ SV3 @ SY33 @ SY34 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[24]) ).
thf(28,plain,
! [SV2: $i,SV4: $i] :
( ( ! [SY35: $i,SY36: $i,SY37: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV4 @ SY35 )
| ~ ( iext @ uri_rdf_rest @ SV4 @ SY36 ) )
| ~ ( iext @ uri_rdf_first @ SY36 @ SY37 ) )
| ~ ( iext @ uri_rdf_rest @ SY36 @ uri_rdf_nil ) )
| ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SY35 ) )
| ~ ( ip @ SY37 ) )
| ~ ! [SY27: $i,SY28: $i,SY29: $i] :
( ~ ~ ( ~ ( iext @ SY35 @ SY27 @ SY28 )
| ~ ( iext @ SY37 @ SY28 @ SY29 ) )
| ( iext @ SV2 @ SY27 @ SY29 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SY35 ) )
| ~ ( ip @ SY37 ) )
| ~ ! [SY30: $i,SY31: $i,SY32: $i] :
( ~ ~ ( ~ ( iext @ SY35 @ SY30 @ SY31 )
| ~ ( iext @ SY37 @ SY31 @ SY32 ) )
| ( iext @ SV2 @ SY30 @ SY32 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[25]) ).
thf(29,plain,
( ( ~ ~ ! [SY44: $i] :
~ ~ ! [SY45: $i] :
~ ~ ! [SY46: $i] :
~ ~ ! [SY47: $i] :
~ ~ ! [SY48: $i] :
~ ~ ! [SY49: $i] :
~ ~ ! [SY50: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ SY44 ) )
| ~ ( iext @ uri_rdf_first @ SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ SY44 @ SY45 ) )
| ~ ( iext @ uri_rdf_first @ SY45 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ SY45 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ SY46 ) )
| ~ ( iext @ uri_rdf_first @ SY46 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ SY46 @ SY47 ) )
| ~ ( iext @ uri_rdf_first @ SY47 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ SY47 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ SY48 ) )
| ~ ( iext @ uri_rdf_first @ SY48 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ SY48 @ SY49 ) )
| ~ ( iext @ uri_rdf_first @ SY49 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SY49 @ SY50 ) )
| ~ ( iext @ uri_rdf_first @ SY50 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY50 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[26]) ).
thf(30,plain,
! [SV3: $i,SV1: $i] :
( ( ( ~ ( iext @ uri_rdfs_subPropertyOf @ SV1 @ SV3 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ip @ SV1 )
| ~ ( ip @ SV3 ) )
| ~ ! [SY33: $i,SY34: $i] :
( ~ ( iext @ SV1 @ SY33 @ SY34 )
| ( iext @ SV3 @ SY33 @ SY34 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[27]) ).
thf(31,plain,
! [SV2: $i,SV5: $i,SV4: $i] :
( ( ! [SY51: $i,SY52: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV4 @ SV5 )
| ~ ( iext @ uri_rdf_rest @ SV4 @ SY51 ) )
| ~ ( iext @ uri_rdf_first @ SY51 @ SY52 ) )
| ~ ( iext @ uri_rdf_rest @ SY51 @ uri_rdf_nil ) )
| ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) )
| ~ ( ip @ SY52 ) )
| ~ ! [SY53: $i,SY54: $i,SY55: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY53 @ SY54 )
| ~ ( iext @ SY52 @ SY54 @ SY55 ) )
| ( iext @ SV2 @ SY53 @ SY55 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) )
| ~ ( ip @ SY52 ) )
| ~ ! [SY56: $i,SY57: $i,SY58: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY56 @ SY57 )
| ~ ( iext @ SY52 @ SY57 @ SY58 ) )
| ( iext @ SV2 @ SY56 @ SY58 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(32,plain,
( ( ~ ! [SY44: $i] :
~ ~ ! [SY45: $i] :
~ ~ ! [SY46: $i] :
~ ~ ! [SY47: $i] :
~ ~ ! [SY48: $i] :
~ ~ ! [SY49: $i] :
~ ~ ! [SY50: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ SY44 ) )
| ~ ( iext @ uri_rdf_first @ SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ SY44 @ SY45 ) )
| ~ ( iext @ uri_rdf_first @ SY45 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ SY45 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ SY46 ) )
| ~ ( iext @ uri_rdf_first @ SY46 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ SY46 @ SY47 ) )
| ~ ( iext @ uri_rdf_first @ SY47 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ SY47 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ SY48 ) )
| ~ ( iext @ uri_rdf_first @ SY48 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ SY48 @ SY49 ) )
| ~ ( iext @ uri_rdf_first @ SY49 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SY49 @ SY50 ) )
| ~ ( iext @ uri_rdf_first @ SY50 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY50 @ uri_rdf_nil ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[29]) ).
thf(33,plain,
! [SV3: $i,SV1: $i] :
( ( ( iext @ uri_rdfs_subPropertyOf @ SV1 @ SV3 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( ip @ SV1 )
| ~ ( ip @ SV3 ) )
| ~ ! [SY33: $i,SY34: $i] :
( ~ ( iext @ SV1 @ SY33 @ SY34 )
| ( iext @ SV3 @ SY33 @ SY34 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(34,plain,
! [SV2: $i,SV6: $i,SV5: $i,SV4: $i] :
( ( ! [SY59: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV4 @ SV5 )
| ~ ( iext @ uri_rdf_rest @ SV4 @ SV6 ) )
| ~ ( iext @ uri_rdf_first @ SV6 @ SY59 ) )
| ~ ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil ) )
| ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) )
| ~ ( ip @ SY59 ) )
| ~ ! [SY53: $i,SY54: $i,SY55: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY53 @ SY54 )
| ~ ( iext @ SY59 @ SY54 @ SY55 ) )
| ( iext @ SV2 @ SY53 @ SY55 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) )
| ~ ( ip @ SY59 ) )
| ~ ! [SY56: $i,SY57: $i,SY58: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY56 @ SY57 )
| ~ ( iext @ SY59 @ SY57 @ SY58 ) )
| ( iext @ SV2 @ SY56 @ SY58 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(35,plain,
( ( ! [SY44: $i] :
~ ~ ! [SY45: $i] :
~ ~ ! [SY46: $i] :
~ ~ ! [SY47: $i] :
~ ~ ! [SY48: $i] :
~ ~ ! [SY49: $i] :
~ ~ ! [SY50: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ SY44 ) )
| ~ ( iext @ uri_rdf_first @ SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ SY44 @ SY45 ) )
| ~ ( iext @ uri_rdf_first @ SY45 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ SY45 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ SY46 ) )
| ~ ( iext @ uri_rdf_first @ SY46 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ SY46 @ SY47 ) )
| ~ ( iext @ uri_rdf_first @ SY47 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ SY47 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ SY48 ) )
| ~ ( iext @ uri_rdf_first @ SY48 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ SY48 @ SY49 ) )
| ~ ( iext @ uri_rdf_first @ SY49 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SY49 @ SY50 ) )
| ~ ( iext @ uri_rdf_first @ SY50 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY50 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(36,plain,
! [SV3: $i,SV1: $i] :
( ( ( ~ ~ ( ~ ( ip @ SV1 )
| ~ ( ip @ SV3 ) )
| ~ ! [SY33: $i,SY34: $i] :
( ~ ( iext @ SV1 @ SY33 @ SY34 )
| ( iext @ SV3 @ SY33 @ SY34 ) ) )
= $false )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(37,plain,
! [SV2: $i,SV7: $i,SV6: $i,SV5: $i,SV4: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV4 @ SV5 )
| ~ ( iext @ uri_rdf_rest @ SV4 @ SV6 ) )
| ~ ( iext @ uri_rdf_first @ SV6 @ SV7 ) )
| ~ ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil ) )
| ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) )
| ~ ( ip @ SV7 ) )
| ~ ! [SY66: $i,SY67: $i,SY68: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY66 @ SY67 )
| ~ ( iext @ SV7 @ SY67 @ SY68 ) )
| ( iext @ SV2 @ SY66 @ SY68 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) )
| ~ ( ip @ SV7 ) )
| ~ ! [SY69: $i,SY70: $i,SY71: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY69 @ SY70 )
| ~ ( iext @ SV7 @ SY70 @ SY71 ) )
| ( iext @ SV2 @ SY69 @ SY71 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(38,plain,
( ( ~ ~ ! [SY72: $i] :
~ ~ ! [SY73: $i] :
~ ~ ! [SY74: $i] :
~ ~ ! [SY75: $i] :
~ ~ ! [SY76: $i] :
~ ~ ! [SY77: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ SY72 ) )
| ~ ( iext @ uri_rdf_first @ SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ SY73 ) )
| ~ ( iext @ uri_rdf_first @ SY73 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ SY73 @ SY74 ) )
| ~ ( iext @ uri_rdf_first @ SY74 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ SY74 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ SY75 ) )
| ~ ( iext @ uri_rdf_first @ SY75 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ SY75 @ SY76 ) )
| ~ ( iext @ uri_rdf_first @ SY76 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SY76 @ SY77 ) )
| ~ ( iext @ uri_rdf_first @ SY77 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY77 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[35]) ).
thf(39,plain,
! [SV3: $i,SV1: $i] :
( ( ( ~ ~ ( ~ ( ip @ SV1 )
| ~ ( ip @ SV3 ) ) )
= $false )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[36]) ).
thf(40,plain,
! [SV3: $i,SV1: $i] :
( ( ( ~ ! [SY33: $i,SY34: $i] :
( ~ ( iext @ SV1 @ SY33 @ SY34 )
| ( iext @ SV3 @ SY33 @ SY34 ) ) )
= $false )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[36]) ).
thf(41,plain,
! [SV2: $i,SV7: $i,SV6: $i,SV5: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV4 @ SV5 )
| ~ ( iext @ uri_rdf_rest @ SV4 @ SV6 ) )
| ~ ( iext @ uri_rdf_first @ SV6 @ SV7 ) )
| ~ ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) )
| ~ ( ip @ SV7 ) )
| ~ ! [SY66: $i,SY67: $i,SY68: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY66 @ SY67 )
| ~ ( iext @ SV7 @ SY67 @ SY68 ) )
| ( iext @ SV2 @ SY66 @ SY68 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) )
| ~ ( ip @ SV7 ) )
| ~ ! [SY69: $i,SY70: $i,SY71: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY69 @ SY70 )
| ~ ( iext @ SV7 @ SY70 @ SY71 ) )
| ( iext @ SV2 @ SY69 @ SY71 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[37]) ).
thf(42,plain,
( ( ~ ! [SY72: $i] :
~ ~ ! [SY73: $i] :
~ ~ ! [SY74: $i] :
~ ~ ! [SY75: $i] :
~ ~ ! [SY76: $i] :
~ ~ ! [SY77: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ SY72 ) )
| ~ ( iext @ uri_rdf_first @ SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ SY73 ) )
| ~ ( iext @ uri_rdf_first @ SY73 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ SY73 @ SY74 ) )
| ~ ( iext @ uri_rdf_first @ SY74 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ SY74 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ SY75 ) )
| ~ ( iext @ uri_rdf_first @ SY75 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ SY75 @ SY76 ) )
| ~ ( iext @ uri_rdf_first @ SY76 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SY76 @ SY77 ) )
| ~ ( iext @ uri_rdf_first @ SY77 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY77 @ uri_rdf_nil ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[38]) ).
thf(43,plain,
! [SV3: $i,SV1: $i] :
( ( ( ~ ( ~ ( ip @ SV1 )
| ~ ( ip @ SV3 ) ) )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[39]) ).
thf(44,plain,
! [SV3: $i,SV1: $i] :
( ( ( ! [SY33: $i,SY34: $i] :
( ~ ( iext @ SV1 @ SY33 @ SY34 )
| ( iext @ SV3 @ SY33 @ SY34 ) ) )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[40]) ).
thf(45,plain,
! [SV2: $i,SV7: $i,SV6: $i,SV5: $i,SV4: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV4 @ SV5 )
| ~ ( iext @ uri_rdf_rest @ SV4 @ SV6 ) )
| ~ ( iext @ uri_rdf_first @ SV6 @ SV7 ) )
| ~ ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) )
| ~ ( ip @ SV7 ) )
| ~ ! [SY66: $i,SY67: $i,SY68: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY66 @ SY67 )
| ~ ( iext @ SV7 @ SY67 @ SY68 ) )
| ( iext @ SV2 @ SY66 @ SY68 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) )
| ~ ( ip @ SV7 ) )
| ~ ! [SY69: $i,SY70: $i,SY71: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY69 @ SY70 )
| ~ ( iext @ SV7 @ SY70 @ SY71 ) )
| ( iext @ SV2 @ SY69 @ SY71 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[41]) ).
thf(46,plain,
( ( ! [SY72: $i] :
~ ~ ! [SY73: $i] :
~ ~ ! [SY74: $i] :
~ ~ ! [SY75: $i] :
~ ~ ! [SY76: $i] :
~ ~ ! [SY77: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ SY72 ) )
| ~ ( iext @ uri_rdf_first @ SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ SY73 ) )
| ~ ( iext @ uri_rdf_first @ SY73 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ SY73 @ SY74 ) )
| ~ ( iext @ uri_rdf_first @ SY74 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ SY74 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ SY75 ) )
| ~ ( iext @ uri_rdf_first @ SY75 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ SY75 @ SY76 ) )
| ~ ( iext @ uri_rdf_first @ SY76 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SY76 @ SY77 ) )
| ~ ( iext @ uri_rdf_first @ SY77 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY77 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(47,plain,
! [SV3: $i,SV1: $i] :
( ( ( ~ ( ip @ SV1 )
| ~ ( ip @ SV3 ) )
= $false )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(48,plain,
! [SV3: $i,SV8: $i,SV1: $i] :
( ( ( ! [SY78: $i] :
( ~ ( iext @ SV1 @ SV8 @ SY78 )
| ( iext @ SV3 @ SV8 @ SY78 ) ) )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(49,plain,
! [SV2: $i,SV7: $i,SV6: $i,SV5: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV4 @ SV5 )
| ~ ( iext @ uri_rdf_rest @ SV4 @ SV6 ) )
| ~ ( iext @ uri_rdf_first @ SV6 @ SV7 ) )
| ~ ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) )
| ~ ( ip @ SV7 ) )
| ~ ! [SY66: $i,SY67: $i,SY68: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY66 @ SY67 )
| ~ ( iext @ SV7 @ SY67 @ SY68 ) )
| ( iext @ SV2 @ SY66 @ SY68 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) )
| ~ ( ip @ SV7 ) )
| ~ ! [SY69: $i,SY70: $i,SY71: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY69 @ SY70 )
| ~ ( iext @ SV7 @ SY70 @ SY71 ) )
| ( iext @ SV2 @ SY69 @ SY71 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[45]) ).
thf(50,plain,
( ( ~ ~ ! [SY79: $i] :
~ ~ ! [SY80: $i] :
~ ~ ! [SY81: $i] :
~ ~ ! [SY82: $i] :
~ ~ ! [SY83: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ SY79 ) )
| ~ ( iext @ uri_rdf_first @ SY79 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ SY79 @ SY80 ) )
| ~ ( iext @ uri_rdf_first @ SY80 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ SY80 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ SY81 ) )
| ~ ( iext @ uri_rdf_first @ SY81 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ SY81 @ SY82 ) )
| ~ ( iext @ uri_rdf_first @ SY82 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SY82 @ SY83 ) )
| ~ ( iext @ uri_rdf_first @ SY83 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY83 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[46]) ).
thf(51,plain,
! [SV3: $i,SV1: $i] :
( ( ( ~ ( ip @ SV1 ) )
= $false )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[47]) ).
thf(52,plain,
! [SV1: $i,SV3: $i] :
( ( ( ~ ( ip @ SV3 ) )
= $false )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[47]) ).
thf(53,plain,
! [SV3: $i,SV9: $i,SV8: $i,SV1: $i] :
( ( ( ~ ( iext @ SV1 @ SV8 @ SV9 )
| ( iext @ SV3 @ SV8 @ SV9 ) )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(54,plain,
! [SV2: $i,SV7: $i,SV6: $i,SV5: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV4 @ SV5 )
| ~ ( iext @ uri_rdf_rest @ SV4 @ SV6 ) )
| ~ ( iext @ uri_rdf_first @ SV6 @ SV7 ) ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) )
| ~ ( ip @ SV7 ) )
| ~ ! [SY66: $i,SY67: $i,SY68: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY66 @ SY67 )
| ~ ( iext @ SV7 @ SY67 @ SY68 ) )
| ( iext @ SV2 @ SY66 @ SY68 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) )
| ~ ( ip @ SV7 ) )
| ~ ! [SY69: $i,SY70: $i,SY71: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY69 @ SY70 )
| ~ ( iext @ SV7 @ SY70 @ SY71 ) )
| ( iext @ SV2 @ SY69 @ SY71 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[49]) ).
thf(55,plain,
( ( ~ ! [SY79: $i] :
~ ~ ! [SY80: $i] :
~ ~ ! [SY81: $i] :
~ ~ ! [SY82: $i] :
~ ~ ! [SY83: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ SY79 ) )
| ~ ( iext @ uri_rdf_first @ SY79 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ SY79 @ SY80 ) )
| ~ ( iext @ uri_rdf_first @ SY80 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ SY80 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ SY81 ) )
| ~ ( iext @ uri_rdf_first @ SY81 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ SY81 @ SY82 ) )
| ~ ( iext @ uri_rdf_first @ SY82 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SY82 @ SY83 ) )
| ~ ( iext @ uri_rdf_first @ SY83 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY83 @ uri_rdf_nil ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[50]) ).
thf(56,plain,
! [SV3: $i,SV1: $i] :
( ( ( ip @ SV1 )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[51]) ).
thf(57,plain,
! [SV1: $i,SV3: $i] :
( ( ( ip @ SV3 )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[52]) ).
thf(58,plain,
! [SV3: $i,SV9: $i,SV8: $i,SV1: $i] :
( ( ( ~ ( iext @ SV1 @ SV8 @ SV9 ) )
= $true )
| ( ( iext @ SV3 @ SV8 @ SV9 )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[53]) ).
thf(59,plain,
! [SV2: $i,SV7: $i,SV6: $i,SV5: $i,SV4: $i] :
( ( ( ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV4 @ SV5 )
| ~ ( iext @ uri_rdf_rest @ SV4 @ SV6 ) )
| ~ ( iext @ uri_rdf_first @ SV6 @ SV7 ) ) )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) )
| ~ ( ip @ SV7 ) )
| ~ ! [SY66: $i,SY67: $i,SY68: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY66 @ SY67 )
| ~ ( iext @ SV7 @ SY67 @ SY68 ) )
| ( iext @ SV2 @ SY66 @ SY68 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) )
| ~ ( ip @ SV7 ) )
| ~ ! [SY69: $i,SY70: $i,SY71: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY69 @ SY70 )
| ~ ( iext @ SV7 @ SY70 @ SY71 ) )
| ( iext @ SV2 @ SY69 @ SY71 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(60,plain,
( ( ! [SY79: $i] :
~ ~ ! [SY80: $i] :
~ ~ ! [SY81: $i] :
~ ~ ! [SY82: $i] :
~ ~ ! [SY83: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ SY79 ) )
| ~ ( iext @ uri_rdf_first @ SY79 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ SY79 @ SY80 ) )
| ~ ( iext @ uri_rdf_first @ SY80 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ SY80 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ SY81 ) )
| ~ ( iext @ uri_rdf_first @ SY81 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ SY81 @ SY82 ) )
| ~ ( iext @ uri_rdf_first @ SY82 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SY82 @ SY83 ) )
| ~ ( iext @ uri_rdf_first @ SY83 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY83 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(61,plain,
! [SV3: $i,SV9: $i,SV8: $i,SV1: $i] :
( ( ( iext @ SV1 @ SV8 @ SV9 )
= $false )
| ( ( iext @ SV3 @ SV8 @ SV9 )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(62,plain,
! [SV2: $i,SV7: $i,SV6: $i,SV5: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV4 @ SV5 )
| ~ ( iext @ uri_rdf_rest @ SV4 @ SV6 ) )
| ~ ( iext @ uri_rdf_first @ SV6 @ SV7 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) )
| ~ ( ip @ SV7 ) )
| ~ ! [SY66: $i,SY67: $i,SY68: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY66 @ SY67 )
| ~ ( iext @ SV7 @ SY67 @ SY68 ) )
| ( iext @ SV2 @ SY66 @ SY68 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) )
| ~ ( ip @ SV7 ) )
| ~ ! [SY69: $i,SY70: $i,SY71: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY69 @ SY70 )
| ~ ( iext @ SV7 @ SY70 @ SY71 ) )
| ( iext @ SV2 @ SY69 @ SY71 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
thf(63,plain,
( ( ~ ~ ! [SY84: $i] :
~ ~ ! [SY85: $i] :
~ ~ ! [SY86: $i] :
~ ~ ! [SY87: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ sK4_SY79 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY79 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY79 @ SY84 ) )
| ~ ( iext @ uri_rdf_first @ SY84 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ SY84 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ SY85 ) )
| ~ ( iext @ uri_rdf_first @ SY85 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ SY85 @ SY86 ) )
| ~ ( iext @ uri_rdf_first @ SY86 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SY86 @ SY87 ) )
| ~ ( iext @ uri_rdf_first @ SY87 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY87 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[60]) ).
thf(64,plain,
! [SV2: $i,SV7: $i,SV6: $i,SV5: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV4 @ SV5 )
| ~ ( iext @ uri_rdf_rest @ SV4 @ SV6 ) ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV7 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) )
| ~ ( ip @ SV7 ) )
| ~ ! [SY66: $i,SY67: $i,SY68: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY66 @ SY67 )
| ~ ( iext @ SV7 @ SY67 @ SY68 ) )
| ( iext @ SV2 @ SY66 @ SY68 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) )
| ~ ( ip @ SV7 ) )
| ~ ! [SY69: $i,SY70: $i,SY71: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY69 @ SY70 )
| ~ ( iext @ SV7 @ SY70 @ SY71 ) )
| ( iext @ SV2 @ SY69 @ SY71 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[62]) ).
thf(65,plain,
( ( ~ ! [SY84: $i] :
~ ~ ! [SY85: $i] :
~ ~ ! [SY86: $i] :
~ ~ ! [SY87: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ sK4_SY79 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY79 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY79 @ SY84 ) )
| ~ ( iext @ uri_rdf_first @ SY84 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ SY84 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ SY85 ) )
| ~ ( iext @ uri_rdf_first @ SY85 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ SY85 @ SY86 ) )
| ~ ( iext @ uri_rdf_first @ SY86 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SY86 @ SY87 ) )
| ~ ( iext @ uri_rdf_first @ SY87 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY87 @ uri_rdf_nil ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(66,plain,
! [SV2: $i,SV7: $i,SV6: $i,SV5: $i,SV4: $i] :
( ( ( ~ ( ~ ( iext @ uri_rdf_first @ SV4 @ SV5 )
| ~ ( iext @ uri_rdf_rest @ SV4 @ SV6 ) ) )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV7 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) )
| ~ ( ip @ SV7 ) )
| ~ ! [SY66: $i,SY67: $i,SY68: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY66 @ SY67 )
| ~ ( iext @ SV7 @ SY67 @ SY68 ) )
| ( iext @ SV2 @ SY66 @ SY68 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) )
| ~ ( ip @ SV7 ) )
| ~ ! [SY69: $i,SY70: $i,SY71: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY69 @ SY70 )
| ~ ( iext @ SV7 @ SY70 @ SY71 ) )
| ( iext @ SV2 @ SY69 @ SY71 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(67,plain,
( ( ! [SY84: $i] :
~ ~ ! [SY85: $i] :
~ ~ ! [SY86: $i] :
~ ~ ! [SY87: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ sK4_SY79 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY79 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY79 @ SY84 ) )
| ~ ( iext @ uri_rdf_first @ SY84 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ SY84 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ SY85 ) )
| ~ ( iext @ uri_rdf_first @ SY85 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ SY85 @ SY86 ) )
| ~ ( iext @ uri_rdf_first @ SY86 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SY86 @ SY87 ) )
| ~ ( iext @ uri_rdf_first @ SY87 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY87 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(68,plain,
! [SV2: $i,SV7: $i,SV6: $i,SV5: $i,SV4: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV4 @ SV5 )
| ~ ( iext @ uri_rdf_rest @ SV4 @ SV6 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV7 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) )
| ~ ( ip @ SV7 ) )
| ~ ! [SY66: $i,SY67: $i,SY68: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY66 @ SY67 )
| ~ ( iext @ SV7 @ SY67 @ SY68 ) )
| ( iext @ SV2 @ SY66 @ SY68 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) )
| ~ ( ip @ SV7 ) )
| ~ ! [SY69: $i,SY70: $i,SY71: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY69 @ SY70 )
| ~ ( iext @ SV7 @ SY70 @ SY71 ) )
| ( iext @ SV2 @ SY69 @ SY71 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[66]) ).
thf(69,plain,
( ( ~ ~ ! [SY88: $i] :
~ ~ ! [SY89: $i] :
~ ~ ! [SY90: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ sK4_SY79 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY79 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY79 @ sK5_SY84 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY84 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY84 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ SY88 ) )
| ~ ( iext @ uri_rdf_first @ SY88 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ SY88 @ SY89 ) )
| ~ ( iext @ uri_rdf_first @ SY89 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SY89 @ SY90 ) )
| ~ ( iext @ uri_rdf_first @ SY90 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY90 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[67]) ).
thf(70,plain,
! [SV2: $i,SV7: $i,SV6: $i,SV5: $i,SV4: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV4 @ SV5 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV4 @ SV6 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV7 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) )
| ~ ( ip @ SV7 ) )
| ~ ! [SY66: $i,SY67: $i,SY68: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY66 @ SY67 )
| ~ ( iext @ SV7 @ SY67 @ SY68 ) )
| ( iext @ SV2 @ SY66 @ SY68 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) )
| ~ ( ip @ SV7 ) )
| ~ ! [SY69: $i,SY70: $i,SY71: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY69 @ SY70 )
| ~ ( iext @ SV7 @ SY70 @ SY71 ) )
| ( iext @ SV2 @ SY69 @ SY71 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[68]) ).
thf(71,plain,
( ( ~ ! [SY88: $i] :
~ ~ ! [SY89: $i] :
~ ~ ! [SY90: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ sK4_SY79 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY79 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY79 @ sK5_SY84 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY84 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY84 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ SY88 ) )
| ~ ( iext @ uri_rdf_first @ SY88 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ SY88 @ SY89 ) )
| ~ ( iext @ uri_rdf_first @ SY89 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SY89 @ SY90 ) )
| ~ ( iext @ uri_rdf_first @ SY90 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY90 @ uri_rdf_nil ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[69]) ).
thf(72,plain,
! [SV2: $i,SV7: $i,SV6: $i,SV5: $i,SV4: $i] :
( ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV4 @ SV6 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV7 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) )
| ~ ( ip @ SV7 ) )
| ~ ! [SY66: $i,SY67: $i,SY68: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY66 @ SY67 )
| ~ ( iext @ SV7 @ SY67 @ SY68 ) )
| ( iext @ SV2 @ SY66 @ SY68 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) )
| ~ ( ip @ SV7 ) )
| ~ ! [SY69: $i,SY70: $i,SY71: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY69 @ SY70 )
| ~ ( iext @ SV7 @ SY70 @ SY71 ) )
| ( iext @ SV2 @ SY69 @ SY71 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(73,plain,
( ( ! [SY88: $i] :
~ ~ ! [SY89: $i] :
~ ~ ! [SY90: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ sK4_SY79 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY79 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY79 @ sK5_SY84 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY84 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY84 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ SY88 ) )
| ~ ( iext @ uri_rdf_first @ SY88 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ SY88 @ SY89 ) )
| ~ ( iext @ uri_rdf_first @ SY89 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SY89 @ SY90 ) )
| ~ ( iext @ uri_rdf_first @ SY90 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY90 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(74,plain,
! [SV2: $i,SV7: $i,SV5: $i,SV6: $i,SV4: $i] :
( ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV7 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) )
| ~ ( ip @ SV7 ) )
| ~ ! [SY66: $i,SY67: $i,SY68: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY66 @ SY67 )
| ~ ( iext @ SV7 @ SY67 @ SY68 ) )
| ( iext @ SV2 @ SY66 @ SY68 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) )
| ~ ( ip @ SV7 ) )
| ~ ! [SY69: $i,SY70: $i,SY71: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY69 @ SY70 )
| ~ ( iext @ SV7 @ SY70 @ SY71 ) )
| ( iext @ SV2 @ SY69 @ SY71 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(75,plain,
( ( ~ ~ ! [SY91: $i] :
~ ~ ! [SY92: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ sK4_SY79 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY79 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY79 @ sK5_SY84 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY84 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY84 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK6_SY88 ) )
| ~ ( iext @ uri_rdf_first @ sK6_SY88 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK6_SY88 @ SY91 ) )
| ~ ( iext @ uri_rdf_first @ SY91 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SY91 @ SY92 ) )
| ~ ( iext @ uri_rdf_first @ SY92 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY92 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[73]) ).
thf(76,plain,
! [SV2: $i,SV5: $i,SV4: $i,SV7: $i,SV6: $i] :
( ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) )
| ~ ( ip @ SV7 ) )
| ~ ! [SY66: $i,SY67: $i,SY68: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY66 @ SY67 )
| ~ ( iext @ SV7 @ SY67 @ SY68 ) )
| ( iext @ SV2 @ SY66 @ SY68 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) )
| ~ ( ip @ SV7 ) )
| ~ ! [SY69: $i,SY70: $i,SY71: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY69 @ SY70 )
| ~ ( iext @ SV7 @ SY70 @ SY71 ) )
| ( iext @ SV2 @ SY69 @ SY71 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(77,plain,
( ( ~ ! [SY91: $i] :
~ ~ ! [SY92: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ sK4_SY79 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY79 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY79 @ sK5_SY84 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY84 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY84 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK6_SY88 ) )
| ~ ( iext @ uri_rdf_first @ sK6_SY88 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK6_SY88 @ SY91 ) )
| ~ ( iext @ uri_rdf_first @ SY91 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SY91 @ SY92 ) )
| ~ ( iext @ uri_rdf_first @ SY92 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY92 @ uri_rdf_nil ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[75]) ).
thf(78,plain,
! [SV2: $i,SV7: $i,SV5: $i,SV4: $i,SV6: $i] :
( ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) )
| ~ ( ip @ SV7 ) )
| ~ ! [SY66: $i,SY67: $i,SY68: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY66 @ SY67 )
| ~ ( iext @ SV7 @ SY67 @ SY68 ) )
| ( iext @ SV2 @ SY66 @ SY68 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) )
| ~ ( ip @ SV7 ) )
| ~ ! [SY69: $i,SY70: $i,SY71: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY69 @ SY70 )
| ~ ( iext @ SV7 @ SY70 @ SY71 ) )
| ( iext @ SV2 @ SY69 @ SY71 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(79,plain,
( ( ! [SY91: $i] :
~ ~ ! [SY92: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ sK4_SY79 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY79 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY79 @ sK5_SY84 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY84 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY84 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK6_SY88 ) )
| ~ ( iext @ uri_rdf_first @ sK6_SY88 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK6_SY88 @ SY91 ) )
| ~ ( iext @ uri_rdf_first @ SY91 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SY91 @ SY92 ) )
| ~ ( iext @ uri_rdf_first @ SY92 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY92 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(80,plain,
! [SV6: $i,SV7: $i,SV5: $i,SV4: $i,SV2: $i] :
( ( ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) )
| ~ ( ip @ SV7 ) )
| ~ ! [SY66: $i,SY67: $i,SY68: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY66 @ SY67 )
| ~ ( iext @ SV7 @ SY67 @ SY68 ) )
| ( iext @ SV2 @ SY66 @ SY68 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) )
| ~ ( ip @ SV7 ) )
| ~ ! [SY69: $i,SY70: $i,SY71: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY69 @ SY70 )
| ~ ( iext @ SV7 @ SY70 @ SY71 ) )
| ( iext @ SV2 @ SY69 @ SY71 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 ) ) )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(81,plain,
( ( ~ ~ ! [SY93: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ sK4_SY79 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY79 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY79 @ sK5_SY84 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY84 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY84 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK6_SY88 ) )
| ~ ( iext @ uri_rdf_first @ sK6_SY88 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK6_SY88 @ sK7_SY91 ) )
| ~ ( iext @ uri_rdf_first @ sK7_SY91 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ sK7_SY91 @ SY93 ) )
| ~ ( iext @ uri_rdf_first @ SY93 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY93 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[79]) ).
thf(82,plain,
! [SV6: $i,SV7: $i,SV5: $i,SV4: $i,SV2: $i] :
( ( ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) )
| ~ ( ip @ SV7 ) )
| ~ ! [SY66: $i,SY67: $i,SY68: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY66 @ SY67 )
| ~ ( iext @ SV7 @ SY67 @ SY68 ) )
| ( iext @ SV2 @ SY66 @ SY68 ) ) ) ) )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[80]) ).
thf(83,plain,
! [SV6: $i,SV4: $i,SV7: $i,SV5: $i,SV2: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) )
| ~ ( ip @ SV7 ) )
| ~ ! [SY69: $i,SY70: $i,SY71: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY69 @ SY70 )
| ~ ( iext @ SV7 @ SY70 @ SY71 ) )
| ( iext @ SV2 @ SY69 @ SY71 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 ) ) )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[80]) ).
thf(84,plain,
( ( ~ ! [SY93: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ sK4_SY79 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY79 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY79 @ sK5_SY84 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY84 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY84 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK6_SY88 ) )
| ~ ( iext @ uri_rdf_first @ sK6_SY88 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK6_SY88 @ sK7_SY91 ) )
| ~ ( iext @ uri_rdf_first @ sK7_SY91 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ sK7_SY91 @ SY93 ) )
| ~ ( iext @ uri_rdf_first @ SY93 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY93 @ uri_rdf_nil ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[81]) ).
thf(85,plain,
! [SV6: $i,SV7: $i,SV5: $i,SV4: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) )
| ~ ( ip @ SV7 ) )
| ~ ! [SY66: $i,SY67: $i,SY68: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY66 @ SY67 )
| ~ ( iext @ SV7 @ SY67 @ SY68 ) )
| ( iext @ SV2 @ SY66 @ SY68 ) ) ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[82]) ).
thf(86,plain,
! [SV6: $i,SV4: $i,SV7: $i,SV5: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) )
| ~ ( ip @ SV7 ) )
| ~ ! [SY69: $i,SY70: $i,SY71: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY69 @ SY70 )
| ~ ( iext @ SV7 @ SY70 @ SY71 ) )
| ( iext @ SV2 @ SY69 @ SY71 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[83]) ).
thf(87,plain,
( ( ! [SY93: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ sK4_SY79 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY79 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY79 @ sK5_SY84 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY84 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY84 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK6_SY88 ) )
| ~ ( iext @ uri_rdf_first @ sK6_SY88 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK6_SY88 @ sK7_SY91 ) )
| ~ ( iext @ uri_rdf_first @ sK7_SY91 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ sK7_SY91 @ SY93 ) )
| ~ ( iext @ uri_rdf_first @ SY93 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY93 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(88,plain,
! [SV6: $i,SV7: $i,SV5: $i,SV4: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) )
| ~ ( ip @ SV7 ) )
| ~ ! [SY66: $i,SY67: $i,SY68: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY66 @ SY67 )
| ~ ( iext @ SV7 @ SY67 @ SY68 ) )
| ( iext @ SV2 @ SY66 @ SY68 ) ) ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[85]) ).
thf(89,plain,
! [SV6: $i,SV4: $i,SV7: $i,SV5: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) )
| ~ ( ip @ SV7 ) )
| ~ ! [SY69: $i,SY70: $i,SY71: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY69 @ SY70 )
| ~ ( iext @ SV7 @ SY70 @ SY71 ) )
| ( iext @ SV2 @ SY69 @ SY71 ) ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[86]) ).
thf(90,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ sK4_SY79 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY79 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY79 @ sK5_SY84 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY84 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY84 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK6_SY88 ) )
| ~ ( iext @ uri_rdf_first @ sK6_SY88 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK6_SY88 @ sK7_SY91 ) )
| ~ ( iext @ uri_rdf_first @ sK7_SY91 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ sK7_SY91 @ sK8_SY93 ) )
| ~ ( iext @ uri_rdf_first @ sK8_SY93 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ sK8_SY93 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[87]) ).
thf(91,plain,
! [SV6: $i,SV7: $i,SV5: $i,SV4: $i,SV2: $i] :
( ( ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) )
| ~ ( ip @ SV7 ) )
| ~ ! [SY66: $i,SY67: $i,SY68: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY66 @ SY67 )
| ~ ( iext @ SV7 @ SY67 @ SY68 ) )
| ( iext @ SV2 @ SY66 @ SY68 ) ) ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(92,plain,
! [SV6: $i,SV4: $i,SV7: $i,SV5: $i,SV2: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) )
| ~ ( ip @ SV7 ) )
| ~ ! [SY69: $i,SY70: $i,SY71: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY69 @ SY70 )
| ~ ( iext @ SV7 @ SY70 @ SY71 ) )
| ( iext @ SV2 @ SY69 @ SY71 ) ) ) )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(93,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ sK4_SY79 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY79 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY79 @ sK5_SY84 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY84 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY84 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK6_SY88 ) )
| ~ ( iext @ uri_rdf_first @ sK6_SY88 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK6_SY88 @ sK7_SY91 ) )
| ~ ( iext @ uri_rdf_first @ sK7_SY91 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ sK7_SY91 @ sK8_SY93 ) )
| ~ ( iext @ uri_rdf_first @ sK8_SY93 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ sK8_SY93 @ uri_rdf_nil ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[90]) ).
thf(94,plain,
! [SV6: $i,SV4: $i,SV7: $i,SV5: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) )
| ~ ( ip @ SV7 ) )
| ~ ! [SY66: $i,SY67: $i,SY68: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY66 @ SY67 )
| ~ ( iext @ SV7 @ SY67 @ SY68 ) )
| ( iext @ SV2 @ SY66 @ SY68 ) ) )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(95,plain,
! [SV6: $i,SV4: $i,SV7: $i,SV5: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) )
| ~ ( ip @ SV7 ) )
| ~ ! [SY69: $i,SY70: $i,SY71: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY69 @ SY70 )
| ~ ( iext @ SV7 @ SY70 @ SY71 ) )
| ( iext @ SV2 @ SY69 @ SY71 ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[92]) ).
thf(96,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ sK4_SY79 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY79 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY79 @ sK5_SY84 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY84 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY84 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK6_SY88 ) )
| ~ ( iext @ uri_rdf_first @ sK6_SY88 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK6_SY88 @ sK7_SY91 ) )
| ~ ( iext @ uri_rdf_first @ sK7_SY91 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ sK7_SY91 @ sK8_SY93 ) )
| ~ ( iext @ uri_rdf_first @ sK8_SY93 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ sK8_SY93 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(97,plain,
! [SV6: $i,SV4: $i,SV7: $i,SV5: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) )
| ~ ( ip @ SV7 ) ) )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(98,plain,
! [SV6: $i,SV4: $i,SV2: $i,SV7: $i,SV5: $i] :
( ( ( ~ ! [SY66: $i,SY67: $i,SY68: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY66 @ SY67 )
| ~ ( iext @ SV7 @ SY67 @ SY68 ) )
| ( iext @ SV2 @ SY66 @ SY68 ) ) )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(99,plain,
! [SV6: $i,SV4: $i,SV7: $i,SV5: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) )
| ~ ( ip @ SV7 ) ) )
= $true )
| ( ( ~ ! [SY69: $i,SY70: $i,SY71: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY69 @ SY70 )
| ~ ( iext @ SV7 @ SY70 @ SY71 ) )
| ( iext @ SV2 @ SY69 @ SY71 ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[95]) ).
thf(100,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ sK4_SY79 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY79 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY79 @ sK5_SY84 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY84 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY84 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK6_SY88 ) )
| ~ ( iext @ uri_rdf_first @ sK6_SY88 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK6_SY88 @ sK7_SY91 ) )
| ~ ( iext @ uri_rdf_first @ sK7_SY91 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ sK7_SY91 @ sK8_SY93 ) )
| ~ ( iext @ uri_rdf_first @ sK8_SY93 @ uri_ex_Z ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[96]) ).
thf(101,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK8_SY93 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[96]) ).
thf(102,plain,
! [SV6: $i,SV4: $i,SV7: $i,SV5: $i,SV2: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) )
| ~ ( ip @ SV7 ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[97]) ).
thf(103,plain,
! [SV6: $i,SV4: $i,SV2: $i,SV7: $i,SV5: $i] :
( ( ( ! [SY66: $i,SY67: $i,SY68: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY66 @ SY67 )
| ~ ( iext @ SV7 @ SY67 @ SY68 ) )
| ( iext @ SV2 @ SY66 @ SY68 ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[98]) ).
thf(104,plain,
! [SV6: $i,SV4: $i,SV7: $i,SV5: $i,SV2: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) )
| ~ ( ip @ SV7 ) ) )
= $false )
| ( ( ~ ! [SY69: $i,SY70: $i,SY71: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY69 @ SY70 )
| ~ ( iext @ SV7 @ SY70 @ SY71 ) )
| ( iext @ SV2 @ SY69 @ SY71 ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(105,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ sK4_SY79 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY79 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY79 @ sK5_SY84 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY84 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY84 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK6_SY88 ) )
| ~ ( iext @ uri_rdf_first @ sK6_SY88 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK6_SY88 @ sK7_SY91 ) )
| ~ ( iext @ uri_rdf_first @ sK7_SY91 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ sK7_SY91 @ sK8_SY93 ) )
| ~ ( iext @ uri_rdf_first @ sK8_SY93 @ uri_ex_Z ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[100]) ).
thf(106,plain,
( ( iext @ uri_rdf_rest @ sK8_SY93 @ uri_rdf_nil )
= $true ),
inference(extcnf_not_neg,[status(thm)],[101]) ).
thf(107,plain,
! [SV6: $i,SV4: $i,SV7: $i,SV5: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) )
| ~ ( ip @ SV7 ) )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(108,plain,
! [SV6: $i,SV4: $i,SV2: $i,SV7: $i,SV10: $i,SV5: $i] :
( ( ( ! [SY94: $i,SY95: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SV10 @ SY94 )
| ~ ( iext @ SV7 @ SY94 @ SY95 ) )
| ( iext @ SV2 @ SV10 @ SY95 ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(109,plain,
! [SV6: $i,SV4: $i,SV7: $i,SV5: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) )
| ~ ( ip @ SV7 ) )
= $true )
| ( ( ~ ! [SY69: $i,SY70: $i,SY71: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY69 @ SY70 )
| ~ ( iext @ SV7 @ SY70 @ SY71 ) )
| ( iext @ SV2 @ SY69 @ SY71 ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[104]) ).
thf(110,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ sK4_SY79 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY79 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY79 @ sK5_SY84 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY84 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY84 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK6_SY88 ) )
| ~ ( iext @ uri_rdf_first @ sK6_SY88 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK6_SY88 @ sK7_SY91 ) )
| ~ ( iext @ uri_rdf_first @ sK7_SY91 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ sK7_SY91 @ sK8_SY93 ) )
| ~ ( iext @ uri_rdf_first @ sK8_SY93 @ uri_ex_Z ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(111,plain,
! [SV7: $i,SV6: $i,SV4: $i,SV5: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) ) )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[107]) ).
thf(112,plain,
! [SV5: $i,SV6: $i,SV4: $i,SV2: $i,SV7: $i] :
( ( ( ~ ( ip @ SV7 ) )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[107]) ).
thf(113,plain,
! [SV6: $i,SV4: $i,SV2: $i,SV7: $i,SV11: $i,SV10: $i,SV5: $i] :
( ( ( ! [SY96: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SV10 @ SV11 )
| ~ ( iext @ SV7 @ SV11 @ SY96 ) )
| ( iext @ SV2 @ SV10 @ SY96 ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(114,plain,
! [SV6: $i,SV4: $i,SV7: $i,SV5: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) ) )
= $true )
| ( ( ~ ( ip @ SV7 ) )
= $true )
| ( ( ~ ! [SY69: $i,SY70: $i,SY71: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY69 @ SY70 )
| ~ ( iext @ SV7 @ SY70 @ SY71 ) )
| ( iext @ SV2 @ SY69 @ SY71 ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[109]) ).
thf(115,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ sK4_SY79 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY79 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY79 @ sK5_SY84 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY84 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY84 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK6_SY88 ) )
| ~ ( iext @ uri_rdf_first @ sK6_SY88 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK6_SY88 @ sK7_SY91 ) )
| ~ ( iext @ uri_rdf_first @ sK7_SY91 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ sK7_SY91 @ sK8_SY93 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[110]) ).
thf(116,plain,
( ( ~ ( iext @ uri_rdf_first @ sK8_SY93 @ uri_ex_Z ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[110]) ).
thf(117,plain,
! [SV7: $i,SV6: $i,SV4: $i,SV5: $i,SV2: $i] :
( ( ( ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[111]) ).
thf(118,plain,
! [SV5: $i,SV6: $i,SV4: $i,SV2: $i,SV7: $i] :
( ( ( ip @ SV7 )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[112]) ).
thf(119,plain,
! [SV6: $i,SV4: $i,SV2: $i,SV12: $i,SV7: $i,SV11: $i,SV10: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ( iext @ SV5 @ SV10 @ SV11 )
| ~ ( iext @ SV7 @ SV11 @ SV12 ) )
| ( iext @ SV2 @ SV10 @ SV12 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(120,plain,
! [SV6: $i,SV4: $i,SV7: $i,SV5: $i,SV2: $i] :
( ( ( ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) ) )
= $false )
| ( ( ~ ( ip @ SV7 ) )
= $true )
| ( ( ~ ! [SY69: $i,SY70: $i,SY71: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY69 @ SY70 )
| ~ ( iext @ SV7 @ SY70 @ SY71 ) )
| ( iext @ SV2 @ SY69 @ SY71 ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(121,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ sK4_SY79 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY79 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY79 @ sK5_SY84 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY84 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY84 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK6_SY88 ) )
| ~ ( iext @ uri_rdf_first @ sK6_SY88 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK6_SY88 @ sK7_SY91 ) )
| ~ ( iext @ uri_rdf_first @ sK7_SY91 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ sK7_SY91 @ sK8_SY93 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[115]) ).
thf(122,plain,
( ( iext @ uri_rdf_first @ sK8_SY93 @ uri_ex_Z )
= $true ),
inference(extcnf_not_neg,[status(thm)],[116]) ).
thf(123,plain,
! [SV7: $i,SV6: $i,SV4: $i,SV5: $i,SV2: $i] :
( ( ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(124,plain,
! [SV6: $i,SV4: $i,SV2: $i,SV12: $i,SV7: $i,SV11: $i,SV10: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ( iext @ SV5 @ SV10 @ SV11 )
| ~ ( iext @ SV7 @ SV11 @ SV12 ) ) )
= $true )
| ( ( iext @ SV2 @ SV10 @ SV12 )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[119]) ).
thf(125,plain,
! [SV6: $i,SV4: $i,SV7: $i,SV5: $i,SV2: $i] :
( ( ( ~ ( ip @ SV2 )
| ~ ( ip @ SV5 ) )
= $true )
| ( ( ~ ( ip @ SV7 ) )
= $true )
| ( ( ~ ! [SY69: $i,SY70: $i,SY71: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY69 @ SY70 )
| ~ ( iext @ SV7 @ SY70 @ SY71 ) )
| ( iext @ SV2 @ SY69 @ SY71 ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[120]) ).
thf(126,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ sK4_SY79 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY79 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY79 @ sK5_SY84 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY84 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY84 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK6_SY88 ) )
| ~ ( iext @ uri_rdf_first @ sK6_SY88 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK6_SY88 @ sK7_SY91 ) )
| ~ ( iext @ uri_rdf_first @ sK7_SY91 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ sK7_SY91 @ sK8_SY93 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(127,plain,
! [SV5: $i,SV7: $i,SV6: $i,SV4: $i,SV2: $i] :
( ( ( ~ ( ip @ SV2 ) )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[123]) ).
thf(128,plain,
! [SV7: $i,SV6: $i,SV4: $i,SV2: $i,SV5: $i] :
( ( ( ~ ( ip @ SV5 ) )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[123]) ).
thf(129,plain,
! [SV6: $i,SV4: $i,SV2: $i,SV12: $i,SV7: $i,SV11: $i,SV10: $i,SV5: $i] :
( ( ( ~ ( ~ ( iext @ SV5 @ SV10 @ SV11 )
| ~ ( iext @ SV7 @ SV11 @ SV12 ) ) )
= $false )
| ( ( iext @ SV2 @ SV10 @ SV12 )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(130,plain,
! [SV6: $i,SV4: $i,SV7: $i,SV5: $i,SV2: $i] :
( ( ( ~ ( ip @ SV2 ) )
= $true )
| ( ( ~ ( ip @ SV5 ) )
= $true )
| ( ( ~ ( ip @ SV7 ) )
= $true )
| ( ( ~ ! [SY69: $i,SY70: $i,SY71: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY69 @ SY70 )
| ~ ( iext @ SV7 @ SY70 @ SY71 ) )
| ( iext @ SV2 @ SY69 @ SY71 ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[125]) ).
thf(131,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ sK4_SY79 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY79 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY79 @ sK5_SY84 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY84 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY84 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK6_SY88 ) )
| ~ ( iext @ uri_rdf_first @ sK6_SY88 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK6_SY88 @ sK7_SY91 ) )
| ~ ( iext @ uri_rdf_first @ sK7_SY91 @ uri_ex_Y ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[126]) ).
thf(132,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK7_SY91 @ sK8_SY93 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[126]) ).
thf(133,plain,
! [SV5: $i,SV7: $i,SV6: $i,SV4: $i,SV2: $i] :
( ( ( ip @ SV2 )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[127]) ).
thf(134,plain,
! [SV7: $i,SV6: $i,SV4: $i,SV2: $i,SV5: $i] :
( ( ( ip @ SV5 )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[128]) ).
thf(135,plain,
! [SV6: $i,SV4: $i,SV2: $i,SV12: $i,SV7: $i,SV11: $i,SV10: $i,SV5: $i] :
( ( ( ~ ( iext @ SV5 @ SV10 @ SV11 )
| ~ ( iext @ SV7 @ SV11 @ SV12 ) )
= $true )
| ( ( iext @ SV2 @ SV10 @ SV12 )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[129]) ).
thf(136,plain,
! [SV6: $i,SV4: $i,SV7: $i,SV5: $i,SV2: $i] :
( ( ( ip @ SV2 )
= $false )
| ( ( ~ ( ip @ SV5 ) )
= $true )
| ( ( ~ ( ip @ SV7 ) )
= $true )
| ( ( ~ ! [SY69: $i,SY70: $i,SY71: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY69 @ SY70 )
| ~ ( iext @ SV7 @ SY70 @ SY71 ) )
| ( iext @ SV2 @ SY69 @ SY71 ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(137,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ sK4_SY79 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY79 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY79 @ sK5_SY84 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY84 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY84 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK6_SY88 ) )
| ~ ( iext @ uri_rdf_first @ sK6_SY88 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK6_SY88 @ sK7_SY91 ) )
| ~ ( iext @ uri_rdf_first @ sK7_SY91 @ uri_ex_Y ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[131]) ).
thf(138,plain,
( ( iext @ uri_rdf_rest @ sK7_SY91 @ sK8_SY93 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[132]) ).
thf(139,plain,
! [SV6: $i,SV4: $i,SV2: $i,SV12: $i,SV7: $i,SV11: $i,SV10: $i,SV5: $i] :
( ( ( ~ ( iext @ SV5 @ SV10 @ SV11 ) )
= $true )
| ( ( ~ ( iext @ SV7 @ SV11 @ SV12 ) )
= $true )
| ( ( iext @ SV2 @ SV10 @ SV12 )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[135]) ).
thf(140,plain,
! [SV6: $i,SV4: $i,SV7: $i,SV2: $i,SV5: $i] :
( ( ( ip @ SV5 )
= $false )
| ( ( ip @ SV2 )
= $false )
| ( ( ~ ( ip @ SV7 ) )
= $true )
| ( ( ~ ! [SY69: $i,SY70: $i,SY71: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY69 @ SY70 )
| ~ ( iext @ SV7 @ SY70 @ SY71 ) )
| ( iext @ SV2 @ SY69 @ SY71 ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(141,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ sK4_SY79 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY79 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY79 @ sK5_SY84 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY84 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY84 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK6_SY88 ) )
| ~ ( iext @ uri_rdf_first @ sK6_SY88 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK6_SY88 @ sK7_SY91 ) )
| ~ ( iext @ uri_rdf_first @ sK7_SY91 @ uri_ex_Y ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(142,plain,
! [SV6: $i,SV4: $i,SV2: $i,SV12: $i,SV7: $i,SV11: $i,SV10: $i,SV5: $i] :
( ( ( iext @ SV5 @ SV10 @ SV11 )
= $false )
| ( ( ~ ( iext @ SV7 @ SV11 @ SV12 ) )
= $true )
| ( ( iext @ SV2 @ SV10 @ SV12 )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(143,plain,
! [SV6: $i,SV4: $i,SV5: $i,SV2: $i,SV7: $i] :
( ( ( ip @ SV7 )
= $false )
| ( ( ip @ SV2 )
= $false )
| ( ( ip @ SV5 )
= $false )
| ( ( ~ ! [SY69: $i,SY70: $i,SY71: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY69 @ SY70 )
| ~ ( iext @ SV7 @ SY70 @ SY71 ) )
| ( iext @ SV2 @ SY69 @ SY71 ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(144,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ sK4_SY79 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY79 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY79 @ sK5_SY84 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY84 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY84 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK6_SY88 ) )
| ~ ( iext @ uri_rdf_first @ sK6_SY88 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK6_SY88 @ sK7_SY91 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[141]) ).
thf(145,plain,
( ( ~ ( iext @ uri_rdf_first @ sK7_SY91 @ uri_ex_Y ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[141]) ).
thf(146,plain,
! [SV6: $i,SV4: $i,SV2: $i,SV10: $i,SV5: $i,SV12: $i,SV11: $i,SV7: $i] :
( ( ( iext @ SV7 @ SV11 @ SV12 )
= $false )
| ( ( iext @ SV5 @ SV10 @ SV11 )
= $false )
| ( ( iext @ SV2 @ SV10 @ SV12 )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(147,plain,
! [SV6: $i,SV4: $i,SV2: $i,SV7: $i,SV5: $i] :
( ( ( ! [SY69: $i,SY70: $i,SY71: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ SY69 @ SY70 )
| ~ ( iext @ SV7 @ SY70 @ SY71 ) )
| ( iext @ SV2 @ SY69 @ SY71 ) ) )
= $false )
| ( ( ip @ SV5 )
= $false )
| ( ( ip @ SV2 )
= $false )
| ( ( ip @ SV7 )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[143]) ).
thf(148,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ sK4_SY79 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY79 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY79 @ sK5_SY84 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY84 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY84 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK6_SY88 ) )
| ~ ( iext @ uri_rdf_first @ sK6_SY88 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK6_SY88 @ sK7_SY91 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[144]) ).
thf(149,plain,
( ( iext @ uri_rdf_first @ sK7_SY91 @ uri_ex_Y )
= $true ),
inference(extcnf_not_neg,[status(thm)],[145]) ).
thf(150,plain,
! [SV7: $i,SV2: $i,SV4: $i,SV6: $i,SV5: $i] :
( ( ( ! [SY97: $i,SY98: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ ( sK9_SY69 @ SV6 @ SV4 @ SV2 @ SV7 @ SV5 ) @ SY97 )
| ~ ( iext @ SV7 @ SY97 @ SY98 ) )
| ( iext @ SV2 @ ( sK9_SY69 @ SV6 @ SV4 @ SV2 @ SV7 @ SV5 ) @ SY98 ) ) )
= $false )
| ( ( ip @ SV5 )
= $false )
| ( ( ip @ SV2 )
= $false )
| ( ( ip @ SV7 )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[147]) ).
thf(151,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ sK4_SY79 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY79 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY79 @ sK5_SY84 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY84 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY84 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK6_SY88 ) )
| ~ ( iext @ uri_rdf_first @ sK6_SY88 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK6_SY88 @ sK7_SY91 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(152,plain,
! [SV7: $i,SV2: $i,SV4: $i,SV6: $i,SV5: $i] :
( ( ( ! [SY99: $i] :
( ~ ~ ( ~ ( iext @ SV5 @ ( sK9_SY69 @ SV6 @ SV4 @ SV2 @ SV7 @ SV5 ) @ ( sK10_SY97 @ SV7 @ SV2 @ SV4 @ SV6 @ SV5 ) )
| ~ ( iext @ SV7 @ ( sK10_SY97 @ SV7 @ SV2 @ SV4 @ SV6 @ SV5 ) @ SY99 ) )
| ( iext @ SV2 @ ( sK9_SY69 @ SV6 @ SV4 @ SV2 @ SV7 @ SV5 ) @ SY99 ) ) )
= $false )
| ( ( ip @ SV5 )
= $false )
| ( ( ip @ SV2 )
= $false )
| ( ( ip @ SV7 )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[150]) ).
thf(153,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ sK4_SY79 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY79 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY79 @ sK5_SY84 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY84 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY84 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK6_SY88 ) )
| ~ ( iext @ uri_rdf_first @ sK6_SY88 @ uri_ex_X ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[151]) ).
thf(154,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK6_SY88 @ sK7_SY91 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[151]) ).
thf(155,plain,
! [SV7: $i,SV2: $i,SV4: $i,SV6: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ( iext @ SV5 @ ( sK9_SY69 @ SV6 @ SV4 @ SV2 @ SV7 @ SV5 ) @ ( sK10_SY97 @ SV7 @ SV2 @ SV4 @ SV6 @ SV5 ) )
| ~ ( iext @ SV7 @ ( sK10_SY97 @ SV7 @ SV2 @ SV4 @ SV6 @ SV5 ) @ ( sK11_SY99 @ SV7 @ SV2 @ SV4 @ SV6 @ SV5 ) ) )
| ( iext @ SV2 @ ( sK9_SY69 @ SV6 @ SV4 @ SV2 @ SV7 @ SV5 ) @ ( sK11_SY99 @ SV7 @ SV2 @ SV4 @ SV6 @ SV5 ) ) )
= $false )
| ( ( ip @ SV5 )
= $false )
| ( ( ip @ SV2 )
= $false )
| ( ( ip @ SV7 )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[152]) ).
thf(156,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ sK4_SY79 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY79 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY79 @ sK5_SY84 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY84 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY84 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK6_SY88 ) )
| ~ ( iext @ uri_rdf_first @ sK6_SY88 @ uri_ex_X ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[153]) ).
thf(157,plain,
( ( iext @ uri_rdf_rest @ sK6_SY88 @ sK7_SY91 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[154]) ).
thf(158,plain,
! [SV7: $i,SV2: $i,SV4: $i,SV6: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ( iext @ SV5 @ ( sK9_SY69 @ SV6 @ SV4 @ SV2 @ SV7 @ SV5 ) @ ( sK10_SY97 @ SV7 @ SV2 @ SV4 @ SV6 @ SV5 ) )
| ~ ( iext @ SV7 @ ( sK10_SY97 @ SV7 @ SV2 @ SV4 @ SV6 @ SV5 ) @ ( sK11_SY99 @ SV7 @ SV2 @ SV4 @ SV6 @ SV5 ) ) ) )
= $false )
| ( ( ip @ SV5 )
= $false )
| ( ( ip @ SV2 )
= $false )
| ( ( ip @ SV7 )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[155]) ).
thf(159,plain,
! [SV5: $i,SV7: $i,SV4: $i,SV6: $i,SV2: $i] :
( ( ( iext @ SV2 @ ( sK9_SY69 @ SV6 @ SV4 @ SV2 @ SV7 @ SV5 ) @ ( sK11_SY99 @ SV7 @ SV2 @ SV4 @ SV6 @ SV5 ) )
= $false )
| ( ( ip @ SV5 )
= $false )
| ( ( ip @ SV2 )
= $false )
| ( ( ip @ SV7 )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[155]) ).
thf(160,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ sK4_SY79 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY79 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY79 @ sK5_SY84 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY84 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY84 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK6_SY88 ) )
| ~ ( iext @ uri_rdf_first @ sK6_SY88 @ uri_ex_X ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(161,plain,
! [SV7: $i,SV2: $i,SV4: $i,SV6: $i,SV5: $i] :
( ( ( ~ ( ~ ( iext @ SV5 @ ( sK9_SY69 @ SV6 @ SV4 @ SV2 @ SV7 @ SV5 ) @ ( sK10_SY97 @ SV7 @ SV2 @ SV4 @ SV6 @ SV5 ) )
| ~ ( iext @ SV7 @ ( sK10_SY97 @ SV7 @ SV2 @ SV4 @ SV6 @ SV5 ) @ ( sK11_SY99 @ SV7 @ SV2 @ SV4 @ SV6 @ SV5 ) ) ) )
= $true )
| ( ( ip @ SV5 )
= $false )
| ( ( ip @ SV2 )
= $false )
| ( ( ip @ SV7 )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[158]) ).
thf(162,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ sK4_SY79 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY79 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY79 @ sK5_SY84 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY84 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY84 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK6_SY88 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[160]) ).
thf(163,plain,
( ( ~ ( iext @ uri_rdf_first @ sK6_SY88 @ uri_ex_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[160]) ).
thf(164,plain,
! [SV7: $i,SV2: $i,SV4: $i,SV6: $i,SV5: $i] :
( ( ( ~ ( iext @ SV5 @ ( sK9_SY69 @ SV6 @ SV4 @ SV2 @ SV7 @ SV5 ) @ ( sK10_SY97 @ SV7 @ SV2 @ SV4 @ SV6 @ SV5 ) )
| ~ ( iext @ SV7 @ ( sK10_SY97 @ SV7 @ SV2 @ SV4 @ SV6 @ SV5 ) @ ( sK11_SY99 @ SV7 @ SV2 @ SV4 @ SV6 @ SV5 ) ) )
= $false )
| ( ( ip @ SV5 )
= $false )
| ( ( ip @ SV2 )
= $false )
| ( ( ip @ SV7 )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(165,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ sK4_SY79 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY79 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY79 @ sK5_SY84 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY84 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY84 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK6_SY88 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[162]) ).
thf(166,plain,
( ( iext @ uri_rdf_first @ sK6_SY88 @ uri_ex_X )
= $true ),
inference(extcnf_not_neg,[status(thm)],[163]) ).
thf(167,plain,
! [SV7: $i,SV2: $i,SV4: $i,SV6: $i,SV5: $i] :
( ( ( ~ ( iext @ SV5 @ ( sK9_SY69 @ SV6 @ SV4 @ SV2 @ SV7 @ SV5 ) @ ( sK10_SY97 @ SV7 @ SV2 @ SV4 @ SV6 @ SV5 ) ) )
= $false )
| ( ( ip @ SV5 )
= $false )
| ( ( ip @ SV2 )
= $false )
| ( ( ip @ SV7 )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[164]) ).
thf(168,plain,
! [SV5: $i,SV6: $i,SV4: $i,SV2: $i,SV7: $i] :
( ( ( ~ ( iext @ SV7 @ ( sK10_SY97 @ SV7 @ SV2 @ SV4 @ SV6 @ SV5 ) @ ( sK11_SY99 @ SV7 @ SV2 @ SV4 @ SV6 @ SV5 ) ) )
= $false )
| ( ( ip @ SV5 )
= $false )
| ( ( ip @ SV2 )
= $false )
| ( ( ip @ SV7 )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[164]) ).
thf(169,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ sK4_SY79 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY79 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY79 @ sK5_SY84 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY84 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY84 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK6_SY88 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[165]) ).
thf(170,plain,
! [SV7: $i,SV2: $i,SV4: $i,SV6: $i,SV5: $i] :
( ( ( iext @ SV5 @ ( sK9_SY69 @ SV6 @ SV4 @ SV2 @ SV7 @ SV5 ) @ ( sK10_SY97 @ SV7 @ SV2 @ SV4 @ SV6 @ SV5 ) )
= $true )
| ( ( ip @ SV5 )
= $false )
| ( ( ip @ SV2 )
= $false )
| ( ( ip @ SV7 )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[167]) ).
thf(171,plain,
! [SV5: $i,SV6: $i,SV4: $i,SV2: $i,SV7: $i] :
( ( ( iext @ SV7 @ ( sK10_SY97 @ SV7 @ SV2 @ SV4 @ SV6 @ SV5 ) @ ( sK11_SY99 @ SV7 @ SV2 @ SV4 @ SV6 @ SV5 ) )
= $true )
| ( ( ip @ SV5 )
= $false )
| ( ( ip @ SV2 )
= $false )
| ( ( ip @ SV7 )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV2 @ SV4 )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[168]) ).
thf(172,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ sK4_SY79 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY79 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY79 @ sK5_SY84 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY84 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY84 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[169]) ).
thf(173,plain,
( ( ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK6_SY88 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[169]) ).
thf(174,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ sK4_SY79 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY79 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY79 @ sK5_SY84 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY84 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY84 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[172]) ).
thf(175,plain,
( ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK6_SY88 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[173]) ).
thf(176,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ sK4_SY79 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY79 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY79 @ sK5_SY84 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY84 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY84 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(177,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ sK4_SY79 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY79 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY79 @ sK5_SY84 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY84 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY84 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[176]) ).
thf(178,plain,
( ( ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[176]) ).
thf(179,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ sK4_SY79 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY79 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY79 @ sK5_SY84 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY84 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY84 @ uri_rdf_nil ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[177]) ).
thf(180,plain,
( ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection )
= $true ),
inference(extcnf_not_neg,[status(thm)],[178]) ).
thf(181,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ sK4_SY79 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY79 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY79 @ sK5_SY84 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY84 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY84 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[179]) ).
thf(182,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ sK4_SY79 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY79 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY79 @ sK5_SY84 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY84 @ uri_rdf_rest ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[181]) ).
thf(183,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK5_SY84 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[181]) ).
thf(184,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ sK4_SY79 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY79 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY79 @ sK5_SY84 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY84 @ uri_rdf_rest ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[182]) ).
thf(185,plain,
( ( iext @ uri_rdf_rest @ sK5_SY84 @ uri_rdf_nil )
= $true ),
inference(extcnf_not_neg,[status(thm)],[183]) ).
thf(186,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ sK4_SY79 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY79 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY79 @ sK5_SY84 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY84 @ uri_rdf_rest ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(187,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ sK4_SY79 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY79 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY79 @ sK5_SY84 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[186]) ).
thf(188,plain,
( ( ~ ( iext @ uri_rdf_first @ sK5_SY84 @ uri_rdf_rest ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[186]) ).
thf(189,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ sK4_SY79 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY79 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY79 @ sK5_SY84 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[187]) ).
thf(190,plain,
( ( iext @ uri_rdf_first @ sK5_SY84 @ uri_rdf_rest )
= $true ),
inference(extcnf_not_neg,[status(thm)],[188]) ).
thf(191,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ sK4_SY79 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY79 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY79 @ sK5_SY84 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(192,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ sK4_SY79 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY79 @ sK1_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[191]) ).
thf(193,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK4_SY79 @ sK5_SY84 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[191]) ).
thf(194,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ sK4_SY79 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY79 @ sK1_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[192]) ).
thf(195,plain,
( ( iext @ uri_rdf_rest @ sK4_SY79 @ sK5_SY84 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[193]) ).
thf(196,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ sK4_SY79 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY79 @ sK1_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[194]) ).
thf(197,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ sK4_SY79 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[196]) ).
thf(198,plain,
( ( ~ ( iext @ uri_rdf_first @ sK4_SY79 @ sK1_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[196]) ).
thf(199,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ sK4_SY79 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[197]) ).
thf(200,plain,
( ( iext @ uri_rdf_first @ sK4_SY79 @ sK1_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[198]) ).
thf(201,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ sK4_SY79 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(202,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[201]) ).
thf(203,plain,
( ( ~ ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ sK4_SY79 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[201]) ).
thf(204,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[202]) ).
thf(205,plain,
( ( iext @ uri_owl_propertyChainAxiom @ sK1_SX0 @ sK4_SY79 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[203]) ).
thf(206,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(207,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[206]) ).
thf(208,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[206]) ).
thf(209,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[207]) ).
thf(210,plain,
( ( iext @ uri_rdf_rest @ sK3_SY72 @ uri_rdf_nil )
= $true ),
inference(extcnf_not_neg,[status(thm)],[208]) ).
thf(211,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[209]) ).
thf(212,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[211]) ).
thf(213,plain,
( ( ~ ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[211]) ).
thf(214,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[212]) ).
thf(215,plain,
( ( iext @ uri_rdf_first @ sK3_SY72 @ uri_rdf_first )
= $true ),
inference(extcnf_not_neg,[status(thm)],[213]) ).
thf(216,plain,
( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[214]) ).
thf(217,plain,
( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[216]) ).
thf(218,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[216]) ).
thf(219,plain,
( ( ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[217]) ).
thf(220,plain,
( ( iext @ uri_rdf_rest @ sK2_SY44 @ sK3_SY72 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[218]) ).
thf(221,plain,
( ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[219]) ).
thf(222,plain,
( ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[221]) ).
thf(223,plain,
( ( ~ ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[221]) ).
thf(224,plain,
( ( ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[222]) ).
thf(225,plain,
( ( iext @ uri_rdf_first @ sK2_SY44 @ sK1_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[223]) ).
thf(226,plain,
( ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[224]) ).
thf(227,plain,
( ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[226]) ).
thf(228,plain,
( ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[226]) ).
thf(229,plain,
( ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK1_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[227]) ).
thf(230,plain,
( ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK2_SY44 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[228]) ).
thf(231,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[23,230,229,225,220,215,210,205,200,195,190,185,180,175,171,170,166,159,157,149,146,138,134,133,122,118,106,61,57,56]) ).
thf(232,plain,
( ( ! [P: $i,Q: $i] :
( ( iext @ uri_rdfs_subPropertyOf @ P @ Q )
=> ( ( ip @ P )
& ( ip @ Q )
& ! [X: $i,Y: $i] :
( ( iext @ P @ X @ Y )
=> ( iext @ Q @ X @ Y ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(233,plain,
( ( ! [P: $i,S1: $i,P1: $i,S2: $i,P2: $i] :
( ( ( iext @ uri_rdf_first @ S1 @ P1 )
& ( iext @ uri_rdf_rest @ S1 @ S2 )
& ( iext @ uri_rdf_first @ S2 @ P2 )
& ( iext @ uri_rdf_rest @ S2 @ uri_rdf_nil ) )
=> ( ( iext @ uri_owl_propertyChainAxiom @ P @ S1 )
<=> ( ( ip @ P )
& ( ip @ P1 )
& ( ip @ P2 )
& ! [Y0: $i,Y1: $i,Y2: $i] :
( ( ( iext @ P1 @ Y0 @ Y1 )
& ( iext @ P2 @ Y1 @ Y2 ) )
=> ( iext @ P @ Y0 @ Y2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(234,plain,
( ( ? [BNODE_pL: $i,BNODE_l11: $i,BNODE_l12: $i,BNODE_l21: $i,BNODE_l22: $i,BNODE_l31: $i,BNODE_l32: $i,BNODE_l33: $i] :
( ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ BNODE_pL )
& ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ BNODE_l11 )
& ( iext @ uri_rdf_first @ BNODE_l11 @ BNODE_pL )
& ( iext @ uri_rdf_rest @ BNODE_l11 @ BNODE_l12 )
& ( iext @ uri_rdf_first @ BNODE_l12 @ uri_rdf_first )
& ( iext @ uri_rdf_rest @ BNODE_l12 @ uri_rdf_nil )
& ( iext @ uri_owl_propertyChainAxiom @ BNODE_pL @ BNODE_l21 )
& ( iext @ uri_rdf_first @ BNODE_l21 @ BNODE_pL )
& ( iext @ uri_rdf_rest @ BNODE_l21 @ BNODE_l22 )
& ( iext @ uri_rdf_first @ BNODE_l22 @ uri_rdf_rest )
& ( iext @ uri_rdf_rest @ BNODE_l22 @ uri_rdf_nil )
& ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection )
& ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ BNODE_l31 )
& ( iext @ uri_rdf_first @ BNODE_l31 @ uri_ex_X )
& ( iext @ uri_rdf_rest @ BNODE_l31 @ BNODE_l32 )
& ( iext @ uri_rdf_first @ BNODE_l32 @ uri_ex_Y )
& ( iext @ uri_rdf_rest @ BNODE_l32 @ BNODE_l33 )
& ( iext @ uri_rdf_first @ BNODE_l33 @ uri_ex_Z )
& ( iext @ uri_rdf_rest @ BNODE_l33 @ uri_rdf_nil ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(235,plain,
( ( ~ ( iext @ uri_skos_member @ uri_ex_MyOrderedCollection @ uri_ex_Y ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(236,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX1 )
| ~ ( ~ ~ ( ~ ( ip @ SX0 )
| ~ ( ip @ SX1 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( iext @ SX0 @ SX2 @ SX3 )
| ( iext @ SX1 @ SX2 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[232]) ).
thf(237,plain,
( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ~ ! [SX6: $i] :
~ ~ ! [SX7: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ SX1 ) )
| ~ ( iext @ uri_rdf_first @ SX1 @ SX0 ) )
| ~ ( iext @ uri_rdf_rest @ SX1 @ SX2 ) )
| ~ ( iext @ uri_rdf_first @ SX2 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ SX2 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SX0 @ SX3 ) )
| ~ ( iext @ uri_rdf_first @ SX3 @ SX0 ) )
| ~ ( iext @ uri_rdf_rest @ SX3 @ SX4 ) )
| ~ ( iext @ uri_rdf_first @ SX4 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ SX4 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ SX5 ) )
| ~ ( iext @ uri_rdf_first @ SX5 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ SX5 @ SX6 ) )
| ~ ( iext @ uri_rdf_first @ SX6 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SX6 @ SX7 ) )
| ~ ( iext @ uri_rdf_first @ SX7 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SX7 @ uri_rdf_nil ) ) )
= $true ),
inference(unfold_def,[status(thm)],[234]) ).
thf(238,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SX1 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SX1 @ SX3 ) )
| ~ ( iext @ uri_rdf_first @ SX3 @ SX4 ) )
| ~ ( iext @ uri_rdf_rest @ SX3 @ uri_rdf_nil ) )
| ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SX0 @ SX1 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SX0 )
| ~ ( ip @ SX2 ) )
| ~ ( ip @ SX4 ) )
| ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( iext @ SX2 @ SX5 @ SX6 )
| ~ ( iext @ SX4 @ SX6 @ SX7 ) )
| ( iext @ SX0 @ SX5 @ SX7 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SX0 )
| ~ ( ip @ SX2 ) )
| ~ ( ip @ SX4 ) )
| ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( iext @ SX2 @ SX5 @ SX6 )
| ~ ( iext @ SX4 @ SX6 @ SX7 ) )
| ( iext @ SX0 @ SX5 @ SX7 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[233]) ).
thf(239,plain,
( ( iext @ uri_skos_member @ uri_ex_MyOrderedCollection @ uri_ex_Y )
= $false ),
inference(extcnf_not_pos,[status(thm)],[235]) ).
thf(240,plain,
! [SV13: $i] :
( ( ! [SY100: $i] :
( ~ ( iext @ uri_rdfs_subPropertyOf @ SV13 @ SY100 )
| ~ ( ~ ~ ( ~ ( ip @ SV13 )
| ~ ( ip @ SY100 ) )
| ~ ! [SY101: $i,SY102: $i] :
( ~ ( iext @ SV13 @ SY101 @ SY102 )
| ( iext @ SY100 @ SY101 @ SY102 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[236]) ).
thf(241,plain,
( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ~ ! [SX6: $i] :
~ ~ ! [SX7: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ SX1 ) )
| ~ ( iext @ uri_rdf_first @ SX1 @ SX0 ) )
| ~ ( iext @ uri_rdf_rest @ SX1 @ SX2 ) )
| ~ ( iext @ uri_rdf_first @ SX2 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ SX2 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SX0 @ SX3 ) )
| ~ ( iext @ uri_rdf_first @ SX3 @ SX0 ) )
| ~ ( iext @ uri_rdf_rest @ SX3 @ SX4 ) )
| ~ ( iext @ uri_rdf_first @ SX4 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ SX4 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ SX5 ) )
| ~ ( iext @ uri_rdf_first @ SX5 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ SX5 @ SX6 ) )
| ~ ( iext @ uri_rdf_first @ SX6 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SX6 @ SX7 ) )
| ~ ( iext @ uri_rdf_first @ SX7 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SX7 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(242,plain,
! [SV14: $i] :
( ( ! [SY103: $i,SY104: $i,SY105: $i,SY106: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SY103 @ SY104 )
| ~ ( iext @ uri_rdf_rest @ SY103 @ SY105 ) )
| ~ ( iext @ uri_rdf_first @ SY105 @ SY106 ) )
| ~ ( iext @ uri_rdf_rest @ SY105 @ uri_rdf_nil ) )
| ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SY103 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SY104 ) )
| ~ ( ip @ SY106 ) )
| ~ ! [SY107: $i,SY108: $i,SY109: $i] :
( ~ ~ ( ~ ( iext @ SY104 @ SY107 @ SY108 )
| ~ ( iext @ SY106 @ SY108 @ SY109 ) )
| ( iext @ SV14 @ SY107 @ SY109 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SY104 ) )
| ~ ( ip @ SY106 ) )
| ~ ! [SY110: $i,SY111: $i,SY112: $i] :
( ~ ~ ( ~ ( iext @ SY104 @ SY110 @ SY111 )
| ~ ( iext @ SY106 @ SY111 @ SY112 ) )
| ( iext @ SV14 @ SY110 @ SY112 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SY103 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[238]) ).
thf(243,plain,
! [SV15: $i,SV13: $i] :
( ( ~ ( iext @ uri_rdfs_subPropertyOf @ SV13 @ SV15 )
| ~ ( ~ ~ ( ~ ( ip @ SV13 )
| ~ ( ip @ SV15 ) )
| ~ ! [SY113: $i,SY114: $i] :
( ~ ( iext @ SV13 @ SY113 @ SY114 )
| ( iext @ SV15 @ SY113 @ SY114 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[240]) ).
thf(244,plain,
( ( ~ ~ ! [SY115: $i] :
~ ~ ! [SY116: $i] :
~ ~ ! [SY117: $i] :
~ ~ ! [SY118: $i] :
~ ~ ! [SY119: $i] :
~ ~ ! [SY120: $i] :
~ ~ ! [SY121: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ SY115 ) )
| ~ ( iext @ uri_rdf_first @ SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ SY115 @ SY116 ) )
| ~ ( iext @ uri_rdf_first @ SY116 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ SY116 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ SY117 ) )
| ~ ( iext @ uri_rdf_first @ SY117 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ SY117 @ SY118 ) )
| ~ ( iext @ uri_rdf_first @ SY118 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ SY118 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ SY119 ) )
| ~ ( iext @ uri_rdf_first @ SY119 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ SY119 @ SY120 ) )
| ~ ( iext @ uri_rdf_first @ SY120 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SY120 @ SY121 ) )
| ~ ( iext @ uri_rdf_first @ SY121 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY121 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[241]) ).
thf(245,plain,
! [SV14: $i,SV16: $i] :
( ( ! [SY122: $i,SY123: $i,SY124: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV16 @ SY122 )
| ~ ( iext @ uri_rdf_rest @ SV16 @ SY123 ) )
| ~ ( iext @ uri_rdf_first @ SY123 @ SY124 ) )
| ~ ( iext @ uri_rdf_rest @ SY123 @ uri_rdf_nil ) )
| ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SY122 ) )
| ~ ( ip @ SY124 ) )
| ~ ! [SY107: $i,SY108: $i,SY109: $i] :
( ~ ~ ( ~ ( iext @ SY122 @ SY107 @ SY108 )
| ~ ( iext @ SY124 @ SY108 @ SY109 ) )
| ( iext @ SV14 @ SY107 @ SY109 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SY122 ) )
| ~ ( ip @ SY124 ) )
| ~ ! [SY110: $i,SY111: $i,SY112: $i] :
( ~ ~ ( ~ ( iext @ SY122 @ SY110 @ SY111 )
| ~ ( iext @ SY124 @ SY111 @ SY112 ) )
| ( iext @ SV14 @ SY110 @ SY112 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[242]) ).
thf(246,plain,
! [SV15: $i,SV13: $i] :
( ( ( ~ ( iext @ uri_rdfs_subPropertyOf @ SV13 @ SV15 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ip @ SV13 )
| ~ ( ip @ SV15 ) )
| ~ ! [SY113: $i,SY114: $i] :
( ~ ( iext @ SV13 @ SY113 @ SY114 )
| ( iext @ SV15 @ SY113 @ SY114 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[243]) ).
thf(247,plain,
( ( ~ ! [SY115: $i] :
~ ~ ! [SY116: $i] :
~ ~ ! [SY117: $i] :
~ ~ ! [SY118: $i] :
~ ~ ! [SY119: $i] :
~ ~ ! [SY120: $i] :
~ ~ ! [SY121: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ SY115 ) )
| ~ ( iext @ uri_rdf_first @ SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ SY115 @ SY116 ) )
| ~ ( iext @ uri_rdf_first @ SY116 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ SY116 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ SY117 ) )
| ~ ( iext @ uri_rdf_first @ SY117 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ SY117 @ SY118 ) )
| ~ ( iext @ uri_rdf_first @ SY118 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ SY118 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ SY119 ) )
| ~ ( iext @ uri_rdf_first @ SY119 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ SY119 @ SY120 ) )
| ~ ( iext @ uri_rdf_first @ SY120 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SY120 @ SY121 ) )
| ~ ( iext @ uri_rdf_first @ SY121 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY121 @ uri_rdf_nil ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[244]) ).
thf(248,plain,
! [SV14: $i,SV17: $i,SV16: $i] :
( ( ! [SY131: $i,SY132: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV16 @ SV17 )
| ~ ( iext @ uri_rdf_rest @ SV16 @ SY131 ) )
| ~ ( iext @ uri_rdf_first @ SY131 @ SY132 ) )
| ~ ( iext @ uri_rdf_rest @ SY131 @ uri_rdf_nil ) )
| ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) )
| ~ ( ip @ SY132 ) )
| ~ ! [SY133: $i,SY134: $i,SY135: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY133 @ SY134 )
| ~ ( iext @ SY132 @ SY134 @ SY135 ) )
| ( iext @ SV14 @ SY133 @ SY135 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) )
| ~ ( ip @ SY132 ) )
| ~ ! [SY136: $i,SY137: $i,SY138: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY136 @ SY137 )
| ~ ( iext @ SY132 @ SY137 @ SY138 ) )
| ( iext @ SV14 @ SY136 @ SY138 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[245]) ).
thf(249,plain,
! [SV15: $i,SV13: $i] :
( ( ( iext @ uri_rdfs_subPropertyOf @ SV13 @ SV15 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( ip @ SV13 )
| ~ ( ip @ SV15 ) )
| ~ ! [SY113: $i,SY114: $i] :
( ~ ( iext @ SV13 @ SY113 @ SY114 )
| ( iext @ SV15 @ SY113 @ SY114 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[246]) ).
thf(250,plain,
( ( ! [SY115: $i] :
~ ~ ! [SY116: $i] :
~ ~ ! [SY117: $i] :
~ ~ ! [SY118: $i] :
~ ~ ! [SY119: $i] :
~ ~ ! [SY120: $i] :
~ ~ ! [SY121: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ SY115 ) )
| ~ ( iext @ uri_rdf_first @ SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ SY115 @ SY116 ) )
| ~ ( iext @ uri_rdf_first @ SY116 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ SY116 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ SY117 ) )
| ~ ( iext @ uri_rdf_first @ SY117 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ SY117 @ SY118 ) )
| ~ ( iext @ uri_rdf_first @ SY118 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ SY118 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ SY119 ) )
| ~ ( iext @ uri_rdf_first @ SY119 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ SY119 @ SY120 ) )
| ~ ( iext @ uri_rdf_first @ SY120 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SY120 @ SY121 ) )
| ~ ( iext @ uri_rdf_first @ SY121 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY121 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[247]) ).
thf(251,plain,
! [SV14: $i,SV18: $i,SV17: $i,SV16: $i] :
( ( ! [SY139: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV16 @ SV17 )
| ~ ( iext @ uri_rdf_rest @ SV16 @ SV18 ) )
| ~ ( iext @ uri_rdf_first @ SV18 @ SY139 ) )
| ~ ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil ) )
| ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) )
| ~ ( ip @ SY139 ) )
| ~ ! [SY133: $i,SY134: $i,SY135: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY133 @ SY134 )
| ~ ( iext @ SY139 @ SY134 @ SY135 ) )
| ( iext @ SV14 @ SY133 @ SY135 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) )
| ~ ( ip @ SY139 ) )
| ~ ! [SY136: $i,SY137: $i,SY138: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY136 @ SY137 )
| ~ ( iext @ SY139 @ SY137 @ SY138 ) )
| ( iext @ SV14 @ SY136 @ SY138 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[248]) ).
thf(252,plain,
! [SV15: $i,SV13: $i] :
( ( ( ~ ~ ( ~ ( ip @ SV13 )
| ~ ( ip @ SV15 ) )
| ~ ! [SY113: $i,SY114: $i] :
( ~ ( iext @ SV13 @ SY113 @ SY114 )
| ( iext @ SV15 @ SY113 @ SY114 ) ) )
= $false )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV13 @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[249]) ).
thf(253,plain,
( ( ~ ~ ! [SY146: $i] :
~ ~ ! [SY147: $i] :
~ ~ ! [SY148: $i] :
~ ~ ! [SY149: $i] :
~ ~ ! [SY150: $i] :
~ ~ ! [SY151: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ SY146 ) )
| ~ ( iext @ uri_rdf_first @ SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ SY147 ) )
| ~ ( iext @ uri_rdf_first @ SY147 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ SY147 @ SY148 ) )
| ~ ( iext @ uri_rdf_first @ SY148 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ SY148 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ SY149 ) )
| ~ ( iext @ uri_rdf_first @ SY149 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ SY149 @ SY150 ) )
| ~ ( iext @ uri_rdf_first @ SY150 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SY150 @ SY151 ) )
| ~ ( iext @ uri_rdf_first @ SY151 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY151 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[250]) ).
thf(254,plain,
! [SV14: $i,SV19: $i,SV18: $i,SV17: $i,SV16: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV16 @ SV17 )
| ~ ( iext @ uri_rdf_rest @ SV16 @ SV18 ) )
| ~ ( iext @ uri_rdf_first @ SV18 @ SV19 ) )
| ~ ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil ) )
| ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) )
| ~ ( ip @ SV19 ) )
| ~ ! [SY152: $i,SY153: $i,SY154: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY152 @ SY153 )
| ~ ( iext @ SV19 @ SY153 @ SY154 ) )
| ( iext @ SV14 @ SY152 @ SY154 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) )
| ~ ( ip @ SV19 ) )
| ~ ! [SY155: $i,SY156: $i,SY157: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY155 @ SY156 )
| ~ ( iext @ SV19 @ SY156 @ SY157 ) )
| ( iext @ SV14 @ SY155 @ SY157 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[251]) ).
thf(255,plain,
! [SV15: $i,SV13: $i] :
( ( ( ~ ~ ( ~ ( ip @ SV13 )
| ~ ( ip @ SV15 ) ) )
= $false )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV13 @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[252]) ).
thf(256,plain,
! [SV15: $i,SV13: $i] :
( ( ( ~ ! [SY113: $i,SY114: $i] :
( ~ ( iext @ SV13 @ SY113 @ SY114 )
| ( iext @ SV15 @ SY113 @ SY114 ) ) )
= $false )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV13 @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[252]) ).
thf(257,plain,
( ( ~ ! [SY146: $i] :
~ ~ ! [SY147: $i] :
~ ~ ! [SY148: $i] :
~ ~ ! [SY149: $i] :
~ ~ ! [SY150: $i] :
~ ~ ! [SY151: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ SY146 ) )
| ~ ( iext @ uri_rdf_first @ SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ SY147 ) )
| ~ ( iext @ uri_rdf_first @ SY147 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ SY147 @ SY148 ) )
| ~ ( iext @ uri_rdf_first @ SY148 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ SY148 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ SY149 ) )
| ~ ( iext @ uri_rdf_first @ SY149 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ SY149 @ SY150 ) )
| ~ ( iext @ uri_rdf_first @ SY150 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SY150 @ SY151 ) )
| ~ ( iext @ uri_rdf_first @ SY151 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY151 @ uri_rdf_nil ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[253]) ).
thf(258,plain,
! [SV14: $i,SV19: $i,SV18: $i,SV17: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV16 @ SV17 )
| ~ ( iext @ uri_rdf_rest @ SV16 @ SV18 ) )
| ~ ( iext @ uri_rdf_first @ SV18 @ SV19 ) )
| ~ ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) )
| ~ ( ip @ SV19 ) )
| ~ ! [SY152: $i,SY153: $i,SY154: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY152 @ SY153 )
| ~ ( iext @ SV19 @ SY153 @ SY154 ) )
| ( iext @ SV14 @ SY152 @ SY154 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) )
| ~ ( ip @ SV19 ) )
| ~ ! [SY155: $i,SY156: $i,SY157: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY155 @ SY156 )
| ~ ( iext @ SV19 @ SY156 @ SY157 ) )
| ( iext @ SV14 @ SY155 @ SY157 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[254]) ).
thf(259,plain,
! [SV15: $i,SV13: $i] :
( ( ( ~ ( ~ ( ip @ SV13 )
| ~ ( ip @ SV15 ) ) )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV13 @ SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[255]) ).
thf(260,plain,
! [SV15: $i,SV13: $i] :
( ( ( ! [SY113: $i,SY114: $i] :
( ~ ( iext @ SV13 @ SY113 @ SY114 )
| ( iext @ SV15 @ SY113 @ SY114 ) ) )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV13 @ SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[256]) ).
thf(261,plain,
( ( ! [SY146: $i] :
~ ~ ! [SY147: $i] :
~ ~ ! [SY148: $i] :
~ ~ ! [SY149: $i] :
~ ~ ! [SY150: $i] :
~ ~ ! [SY151: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ SY146 ) )
| ~ ( iext @ uri_rdf_first @ SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ SY147 ) )
| ~ ( iext @ uri_rdf_first @ SY147 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ SY147 @ SY148 ) )
| ~ ( iext @ uri_rdf_first @ SY148 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ SY148 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ SY149 ) )
| ~ ( iext @ uri_rdf_first @ SY149 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ SY149 @ SY150 ) )
| ~ ( iext @ uri_rdf_first @ SY150 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SY150 @ SY151 ) )
| ~ ( iext @ uri_rdf_first @ SY151 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY151 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[257]) ).
thf(262,plain,
! [SV14: $i,SV19: $i,SV18: $i,SV17: $i,SV16: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV16 @ SV17 )
| ~ ( iext @ uri_rdf_rest @ SV16 @ SV18 ) )
| ~ ( iext @ uri_rdf_first @ SV18 @ SV19 ) )
| ~ ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) )
| ~ ( ip @ SV19 ) )
| ~ ! [SY152: $i,SY153: $i,SY154: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY152 @ SY153 )
| ~ ( iext @ SV19 @ SY153 @ SY154 ) )
| ( iext @ SV14 @ SY152 @ SY154 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) )
| ~ ( ip @ SV19 ) )
| ~ ! [SY155: $i,SY156: $i,SY157: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY155 @ SY156 )
| ~ ( iext @ SV19 @ SY156 @ SY157 ) )
| ( iext @ SV14 @ SY155 @ SY157 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[258]) ).
thf(263,plain,
! [SV15: $i,SV13: $i] :
( ( ( ~ ( ip @ SV13 )
| ~ ( ip @ SV15 ) )
= $false )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV13 @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[259]) ).
thf(264,plain,
! [SV15: $i,SV20: $i,SV13: $i] :
( ( ( ! [SY158: $i] :
( ~ ( iext @ SV13 @ SV20 @ SY158 )
| ( iext @ SV15 @ SV20 @ SY158 ) ) )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV13 @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[260]) ).
thf(265,plain,
( ( ~ ~ ! [SY159: $i] :
~ ~ ! [SY160: $i] :
~ ~ ! [SY161: $i] :
~ ~ ! [SY162: $i] :
~ ~ ! [SY163: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ SY159 ) )
| ~ ( iext @ uri_rdf_first @ SY159 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ SY159 @ SY160 ) )
| ~ ( iext @ uri_rdf_first @ SY160 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ SY160 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ SY161 ) )
| ~ ( iext @ uri_rdf_first @ SY161 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ SY161 @ SY162 ) )
| ~ ( iext @ uri_rdf_first @ SY162 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SY162 @ SY163 ) )
| ~ ( iext @ uri_rdf_first @ SY163 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY163 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[261]) ).
thf(266,plain,
! [SV14: $i,SV19: $i,SV18: $i,SV17: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV16 @ SV17 )
| ~ ( iext @ uri_rdf_rest @ SV16 @ SV18 ) )
| ~ ( iext @ uri_rdf_first @ SV18 @ SV19 ) )
| ~ ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) )
| ~ ( ip @ SV19 ) )
| ~ ! [SY152: $i,SY153: $i,SY154: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY152 @ SY153 )
| ~ ( iext @ SV19 @ SY153 @ SY154 ) )
| ( iext @ SV14 @ SY152 @ SY154 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) )
| ~ ( ip @ SV19 ) )
| ~ ! [SY155: $i,SY156: $i,SY157: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY155 @ SY156 )
| ~ ( iext @ SV19 @ SY156 @ SY157 ) )
| ( iext @ SV14 @ SY155 @ SY157 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[262]) ).
thf(267,plain,
! [SV15: $i,SV13: $i] :
( ( ( ~ ( ip @ SV13 ) )
= $false )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV13 @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[263]) ).
thf(268,plain,
! [SV13: $i,SV15: $i] :
( ( ( ~ ( ip @ SV15 ) )
= $false )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV13 @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[263]) ).
thf(269,plain,
! [SV15: $i,SV21: $i,SV20: $i,SV13: $i] :
( ( ( ~ ( iext @ SV13 @ SV20 @ SV21 )
| ( iext @ SV15 @ SV20 @ SV21 ) )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV13 @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[264]) ).
thf(270,plain,
( ( ~ ! [SY159: $i] :
~ ~ ! [SY160: $i] :
~ ~ ! [SY161: $i] :
~ ~ ! [SY162: $i] :
~ ~ ! [SY163: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ SY159 ) )
| ~ ( iext @ uri_rdf_first @ SY159 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ SY159 @ SY160 ) )
| ~ ( iext @ uri_rdf_first @ SY160 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ SY160 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ SY161 ) )
| ~ ( iext @ uri_rdf_first @ SY161 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ SY161 @ SY162 ) )
| ~ ( iext @ uri_rdf_first @ SY162 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SY162 @ SY163 ) )
| ~ ( iext @ uri_rdf_first @ SY163 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY163 @ uri_rdf_nil ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[265]) ).
thf(271,plain,
! [SV14: $i,SV19: $i,SV18: $i,SV17: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV16 @ SV17 )
| ~ ( iext @ uri_rdf_rest @ SV16 @ SV18 ) )
| ~ ( iext @ uri_rdf_first @ SV18 @ SV19 ) ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) )
| ~ ( ip @ SV19 ) )
| ~ ! [SY152: $i,SY153: $i,SY154: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY152 @ SY153 )
| ~ ( iext @ SV19 @ SY153 @ SY154 ) )
| ( iext @ SV14 @ SY152 @ SY154 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) )
| ~ ( ip @ SV19 ) )
| ~ ! [SY155: $i,SY156: $i,SY157: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY155 @ SY156 )
| ~ ( iext @ SV19 @ SY156 @ SY157 ) )
| ( iext @ SV14 @ SY155 @ SY157 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[266]) ).
thf(272,plain,
! [SV15: $i,SV13: $i] :
( ( ( ip @ SV13 )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV13 @ SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[267]) ).
thf(273,plain,
! [SV13: $i,SV15: $i] :
( ( ( ip @ SV15 )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV13 @ SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[268]) ).
thf(274,plain,
! [SV15: $i,SV21: $i,SV20: $i,SV13: $i] :
( ( ( ~ ( iext @ SV13 @ SV20 @ SV21 ) )
= $true )
| ( ( iext @ SV15 @ SV20 @ SV21 )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV13 @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[269]) ).
thf(275,plain,
( ( ! [SY159: $i] :
~ ~ ! [SY160: $i] :
~ ~ ! [SY161: $i] :
~ ~ ! [SY162: $i] :
~ ~ ! [SY163: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ SY159 ) )
| ~ ( iext @ uri_rdf_first @ SY159 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ SY159 @ SY160 ) )
| ~ ( iext @ uri_rdf_first @ SY160 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ SY160 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ SY161 ) )
| ~ ( iext @ uri_rdf_first @ SY161 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ SY161 @ SY162 ) )
| ~ ( iext @ uri_rdf_first @ SY162 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SY162 @ SY163 ) )
| ~ ( iext @ uri_rdf_first @ SY163 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY163 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[270]) ).
thf(276,plain,
! [SV14: $i,SV19: $i,SV18: $i,SV17: $i,SV16: $i] :
( ( ( ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV16 @ SV17 )
| ~ ( iext @ uri_rdf_rest @ SV16 @ SV18 ) )
| ~ ( iext @ uri_rdf_first @ SV18 @ SV19 ) ) )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) )
| ~ ( ip @ SV19 ) )
| ~ ! [SY152: $i,SY153: $i,SY154: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY152 @ SY153 )
| ~ ( iext @ SV19 @ SY153 @ SY154 ) )
| ( iext @ SV14 @ SY152 @ SY154 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) )
| ~ ( ip @ SV19 ) )
| ~ ! [SY155: $i,SY156: $i,SY157: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY155 @ SY156 )
| ~ ( iext @ SV19 @ SY156 @ SY157 ) )
| ( iext @ SV14 @ SY155 @ SY157 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[271]) ).
thf(277,plain,
! [SV15: $i,SV21: $i,SV20: $i,SV13: $i] :
( ( ( iext @ SV13 @ SV20 @ SV21 )
= $false )
| ( ( iext @ SV15 @ SV20 @ SV21 )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV13 @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[274]) ).
thf(278,plain,
( ( ~ ~ ! [SY164: $i] :
~ ~ ! [SY165: $i] :
~ ~ ! [SY166: $i] :
~ ~ ! [SY167: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ sK15_SY159 ) )
| ~ ( iext @ uri_rdf_first @ sK15_SY159 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK15_SY159 @ SY164 ) )
| ~ ( iext @ uri_rdf_first @ SY164 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ SY164 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ SY165 ) )
| ~ ( iext @ uri_rdf_first @ SY165 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ SY165 @ SY166 ) )
| ~ ( iext @ uri_rdf_first @ SY166 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SY166 @ SY167 ) )
| ~ ( iext @ uri_rdf_first @ SY167 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY167 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[275]) ).
thf(279,plain,
! [SV14: $i,SV19: $i,SV18: $i,SV17: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV16 @ SV17 )
| ~ ( iext @ uri_rdf_rest @ SV16 @ SV18 ) )
| ~ ( iext @ uri_rdf_first @ SV18 @ SV19 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) )
| ~ ( ip @ SV19 ) )
| ~ ! [SY152: $i,SY153: $i,SY154: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY152 @ SY153 )
| ~ ( iext @ SV19 @ SY153 @ SY154 ) )
| ( iext @ SV14 @ SY152 @ SY154 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) )
| ~ ( ip @ SV19 ) )
| ~ ! [SY155: $i,SY156: $i,SY157: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY155 @ SY156 )
| ~ ( iext @ SV19 @ SY156 @ SY157 ) )
| ( iext @ SV14 @ SY155 @ SY157 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[276]) ).
thf(280,plain,
( ( ~ ! [SY164: $i] :
~ ~ ! [SY165: $i] :
~ ~ ! [SY166: $i] :
~ ~ ! [SY167: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ sK15_SY159 ) )
| ~ ( iext @ uri_rdf_first @ sK15_SY159 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK15_SY159 @ SY164 ) )
| ~ ( iext @ uri_rdf_first @ SY164 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ SY164 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ SY165 ) )
| ~ ( iext @ uri_rdf_first @ SY165 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ SY165 @ SY166 ) )
| ~ ( iext @ uri_rdf_first @ SY166 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SY166 @ SY167 ) )
| ~ ( iext @ uri_rdf_first @ SY167 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY167 @ uri_rdf_nil ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[278]) ).
thf(281,plain,
! [SV14: $i,SV19: $i,SV18: $i,SV17: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV16 @ SV17 )
| ~ ( iext @ uri_rdf_rest @ SV16 @ SV18 ) ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV18 @ SV19 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) )
| ~ ( ip @ SV19 ) )
| ~ ! [SY152: $i,SY153: $i,SY154: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY152 @ SY153 )
| ~ ( iext @ SV19 @ SY153 @ SY154 ) )
| ( iext @ SV14 @ SY152 @ SY154 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) )
| ~ ( ip @ SV19 ) )
| ~ ! [SY155: $i,SY156: $i,SY157: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY155 @ SY156 )
| ~ ( iext @ SV19 @ SY156 @ SY157 ) )
| ( iext @ SV14 @ SY155 @ SY157 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[279]) ).
thf(282,plain,
( ( ! [SY164: $i] :
~ ~ ! [SY165: $i] :
~ ~ ! [SY166: $i] :
~ ~ ! [SY167: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ sK15_SY159 ) )
| ~ ( iext @ uri_rdf_first @ sK15_SY159 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK15_SY159 @ SY164 ) )
| ~ ( iext @ uri_rdf_first @ SY164 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ SY164 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ SY165 ) )
| ~ ( iext @ uri_rdf_first @ SY165 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ SY165 @ SY166 ) )
| ~ ( iext @ uri_rdf_first @ SY166 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SY166 @ SY167 ) )
| ~ ( iext @ uri_rdf_first @ SY167 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY167 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[280]) ).
thf(283,plain,
! [SV14: $i,SV19: $i,SV18: $i,SV17: $i,SV16: $i] :
( ( ( ~ ( ~ ( iext @ uri_rdf_first @ SV16 @ SV17 )
| ~ ( iext @ uri_rdf_rest @ SV16 @ SV18 ) ) )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV18 @ SV19 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) )
| ~ ( ip @ SV19 ) )
| ~ ! [SY152: $i,SY153: $i,SY154: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY152 @ SY153 )
| ~ ( iext @ SV19 @ SY153 @ SY154 ) )
| ( iext @ SV14 @ SY152 @ SY154 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) )
| ~ ( ip @ SV19 ) )
| ~ ! [SY155: $i,SY156: $i,SY157: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY155 @ SY156 )
| ~ ( iext @ SV19 @ SY156 @ SY157 ) )
| ( iext @ SV14 @ SY155 @ SY157 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[281]) ).
thf(284,plain,
( ( ~ ~ ! [SY168: $i] :
~ ~ ! [SY169: $i] :
~ ~ ! [SY170: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ sK15_SY159 ) )
| ~ ( iext @ uri_rdf_first @ sK15_SY159 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK15_SY159 @ sK16_SY164 ) )
| ~ ( iext @ uri_rdf_first @ sK16_SY164 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK16_SY164 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ SY168 ) )
| ~ ( iext @ uri_rdf_first @ SY168 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ SY168 @ SY169 ) )
| ~ ( iext @ uri_rdf_first @ SY169 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SY169 @ SY170 ) )
| ~ ( iext @ uri_rdf_first @ SY170 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY170 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[282]) ).
thf(285,plain,
! [SV14: $i,SV19: $i,SV18: $i,SV17: $i,SV16: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV16 @ SV17 )
| ~ ( iext @ uri_rdf_rest @ SV16 @ SV18 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV18 @ SV19 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) )
| ~ ( ip @ SV19 ) )
| ~ ! [SY152: $i,SY153: $i,SY154: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY152 @ SY153 )
| ~ ( iext @ SV19 @ SY153 @ SY154 ) )
| ( iext @ SV14 @ SY152 @ SY154 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) )
| ~ ( ip @ SV19 ) )
| ~ ! [SY155: $i,SY156: $i,SY157: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY155 @ SY156 )
| ~ ( iext @ SV19 @ SY156 @ SY157 ) )
| ( iext @ SV14 @ SY155 @ SY157 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[283]) ).
thf(286,plain,
( ( ~ ! [SY168: $i] :
~ ~ ! [SY169: $i] :
~ ~ ! [SY170: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ sK15_SY159 ) )
| ~ ( iext @ uri_rdf_first @ sK15_SY159 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK15_SY159 @ sK16_SY164 ) )
| ~ ( iext @ uri_rdf_first @ sK16_SY164 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK16_SY164 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ SY168 ) )
| ~ ( iext @ uri_rdf_first @ SY168 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ SY168 @ SY169 ) )
| ~ ( iext @ uri_rdf_first @ SY169 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SY169 @ SY170 ) )
| ~ ( iext @ uri_rdf_first @ SY170 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY170 @ uri_rdf_nil ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[284]) ).
thf(287,plain,
! [SV14: $i,SV19: $i,SV18: $i,SV17: $i,SV16: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV16 @ SV17 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV16 @ SV18 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV18 @ SV19 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) )
| ~ ( ip @ SV19 ) )
| ~ ! [SY152: $i,SY153: $i,SY154: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY152 @ SY153 )
| ~ ( iext @ SV19 @ SY153 @ SY154 ) )
| ( iext @ SV14 @ SY152 @ SY154 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) )
| ~ ( ip @ SV19 ) )
| ~ ! [SY155: $i,SY156: $i,SY157: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY155 @ SY156 )
| ~ ( iext @ SV19 @ SY156 @ SY157 ) )
| ( iext @ SV14 @ SY155 @ SY157 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[285]) ).
thf(288,plain,
( ( ! [SY168: $i] :
~ ~ ! [SY169: $i] :
~ ~ ! [SY170: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ sK15_SY159 ) )
| ~ ( iext @ uri_rdf_first @ sK15_SY159 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK15_SY159 @ sK16_SY164 ) )
| ~ ( iext @ uri_rdf_first @ sK16_SY164 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK16_SY164 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ SY168 ) )
| ~ ( iext @ uri_rdf_first @ SY168 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ SY168 @ SY169 ) )
| ~ ( iext @ uri_rdf_first @ SY169 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SY169 @ SY170 ) )
| ~ ( iext @ uri_rdf_first @ SY170 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY170 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[286]) ).
thf(289,plain,
! [SV14: $i,SV19: $i,SV18: $i,SV17: $i,SV16: $i] :
( ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV16 @ SV18 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV18 @ SV19 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) )
| ~ ( ip @ SV19 ) )
| ~ ! [SY152: $i,SY153: $i,SY154: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY152 @ SY153 )
| ~ ( iext @ SV19 @ SY153 @ SY154 ) )
| ( iext @ SV14 @ SY152 @ SY154 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) )
| ~ ( ip @ SV19 ) )
| ~ ! [SY155: $i,SY156: $i,SY157: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY155 @ SY156 )
| ~ ( iext @ SV19 @ SY156 @ SY157 ) )
| ( iext @ SV14 @ SY155 @ SY157 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[287]) ).
thf(290,plain,
( ( ~ ~ ! [SY171: $i] :
~ ~ ! [SY172: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ sK15_SY159 ) )
| ~ ( iext @ uri_rdf_first @ sK15_SY159 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK15_SY159 @ sK16_SY164 ) )
| ~ ( iext @ uri_rdf_first @ sK16_SY164 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK16_SY164 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK17_SY168 ) )
| ~ ( iext @ uri_rdf_first @ sK17_SY168 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK17_SY168 @ SY171 ) )
| ~ ( iext @ uri_rdf_first @ SY171 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SY171 @ SY172 ) )
| ~ ( iext @ uri_rdf_first @ SY172 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY172 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[288]) ).
thf(291,plain,
! [SV14: $i,SV19: $i,SV17: $i,SV18: $i,SV16: $i] :
( ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV18 @ SV19 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) )
| ~ ( ip @ SV19 ) )
| ~ ! [SY152: $i,SY153: $i,SY154: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY152 @ SY153 )
| ~ ( iext @ SV19 @ SY153 @ SY154 ) )
| ( iext @ SV14 @ SY152 @ SY154 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) )
| ~ ( ip @ SV19 ) )
| ~ ! [SY155: $i,SY156: $i,SY157: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY155 @ SY156 )
| ~ ( iext @ SV19 @ SY156 @ SY157 ) )
| ( iext @ SV14 @ SY155 @ SY157 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[289]) ).
thf(292,plain,
( ( ~ ! [SY171: $i] :
~ ~ ! [SY172: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ sK15_SY159 ) )
| ~ ( iext @ uri_rdf_first @ sK15_SY159 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK15_SY159 @ sK16_SY164 ) )
| ~ ( iext @ uri_rdf_first @ sK16_SY164 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK16_SY164 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK17_SY168 ) )
| ~ ( iext @ uri_rdf_first @ sK17_SY168 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK17_SY168 @ SY171 ) )
| ~ ( iext @ uri_rdf_first @ SY171 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SY171 @ SY172 ) )
| ~ ( iext @ uri_rdf_first @ SY172 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY172 @ uri_rdf_nil ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[290]) ).
thf(293,plain,
! [SV14: $i,SV17: $i,SV16: $i,SV19: $i,SV18: $i] :
( ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) )
| ~ ( ip @ SV19 ) )
| ~ ! [SY152: $i,SY153: $i,SY154: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY152 @ SY153 )
| ~ ( iext @ SV19 @ SY153 @ SY154 ) )
| ( iext @ SV14 @ SY152 @ SY154 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) )
| ~ ( ip @ SV19 ) )
| ~ ! [SY155: $i,SY156: $i,SY157: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY155 @ SY156 )
| ~ ( iext @ SV19 @ SY156 @ SY157 ) )
| ( iext @ SV14 @ SY155 @ SY157 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(294,plain,
( ( ! [SY171: $i] :
~ ~ ! [SY172: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ sK15_SY159 ) )
| ~ ( iext @ uri_rdf_first @ sK15_SY159 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK15_SY159 @ sK16_SY164 ) )
| ~ ( iext @ uri_rdf_first @ sK16_SY164 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK16_SY164 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK17_SY168 ) )
| ~ ( iext @ uri_rdf_first @ sK17_SY168 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK17_SY168 @ SY171 ) )
| ~ ( iext @ uri_rdf_first @ SY171 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SY171 @ SY172 ) )
| ~ ( iext @ uri_rdf_first @ SY172 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY172 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(295,plain,
! [SV14: $i,SV19: $i,SV17: $i,SV16: $i,SV18: $i] :
( ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) )
| ~ ( ip @ SV19 ) )
| ~ ! [SY152: $i,SY153: $i,SY154: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY152 @ SY153 )
| ~ ( iext @ SV19 @ SY153 @ SY154 ) )
| ( iext @ SV14 @ SY152 @ SY154 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) )
| ~ ( ip @ SV19 ) )
| ~ ! [SY155: $i,SY156: $i,SY157: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY155 @ SY156 )
| ~ ( iext @ SV19 @ SY156 @ SY157 ) )
| ( iext @ SV14 @ SY155 @ SY157 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[293]) ).
thf(296,plain,
( ( ~ ~ ! [SY173: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ sK15_SY159 ) )
| ~ ( iext @ uri_rdf_first @ sK15_SY159 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK15_SY159 @ sK16_SY164 ) )
| ~ ( iext @ uri_rdf_first @ sK16_SY164 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK16_SY164 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK17_SY168 ) )
| ~ ( iext @ uri_rdf_first @ sK17_SY168 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK17_SY168 @ sK18_SY171 ) )
| ~ ( iext @ uri_rdf_first @ sK18_SY171 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ sK18_SY171 @ SY173 ) )
| ~ ( iext @ uri_rdf_first @ SY173 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY173 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[294]) ).
thf(297,plain,
! [SV18: $i,SV19: $i,SV17: $i,SV16: $i,SV14: $i] :
( ( ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) )
| ~ ( ip @ SV19 ) )
| ~ ! [SY152: $i,SY153: $i,SY154: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY152 @ SY153 )
| ~ ( iext @ SV19 @ SY153 @ SY154 ) )
| ( iext @ SV14 @ SY152 @ SY154 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) )
| ~ ( ip @ SV19 ) )
| ~ ! [SY155: $i,SY156: $i,SY157: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY155 @ SY156 )
| ~ ( iext @ SV19 @ SY156 @ SY157 ) )
| ( iext @ SV14 @ SY155 @ SY157 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 ) ) )
= $false )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[295]) ).
thf(298,plain,
( ( ~ ! [SY173: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ sK15_SY159 ) )
| ~ ( iext @ uri_rdf_first @ sK15_SY159 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK15_SY159 @ sK16_SY164 ) )
| ~ ( iext @ uri_rdf_first @ sK16_SY164 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK16_SY164 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK17_SY168 ) )
| ~ ( iext @ uri_rdf_first @ sK17_SY168 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK17_SY168 @ sK18_SY171 ) )
| ~ ( iext @ uri_rdf_first @ sK18_SY171 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ sK18_SY171 @ SY173 ) )
| ~ ( iext @ uri_rdf_first @ SY173 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY173 @ uri_rdf_nil ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[296]) ).
thf(299,plain,
! [SV18: $i,SV19: $i,SV17: $i,SV16: $i,SV14: $i] :
( ( ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) )
| ~ ( ip @ SV19 ) )
| ~ ! [SY152: $i,SY153: $i,SY154: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY152 @ SY153 )
| ~ ( iext @ SV19 @ SY153 @ SY154 ) )
| ( iext @ SV14 @ SY152 @ SY154 ) ) ) ) )
= $false )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[297]) ).
thf(300,plain,
! [SV18: $i,SV16: $i,SV19: $i,SV17: $i,SV14: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) )
| ~ ( ip @ SV19 ) )
| ~ ! [SY155: $i,SY156: $i,SY157: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY155 @ SY156 )
| ~ ( iext @ SV19 @ SY156 @ SY157 ) )
| ( iext @ SV14 @ SY155 @ SY157 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 ) ) )
= $false )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[297]) ).
thf(301,plain,
( ( ! [SY173: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ sK15_SY159 ) )
| ~ ( iext @ uri_rdf_first @ sK15_SY159 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK15_SY159 @ sK16_SY164 ) )
| ~ ( iext @ uri_rdf_first @ sK16_SY164 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK16_SY164 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK17_SY168 ) )
| ~ ( iext @ uri_rdf_first @ sK17_SY168 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK17_SY168 @ sK18_SY171 ) )
| ~ ( iext @ uri_rdf_first @ sK18_SY171 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ sK18_SY171 @ SY173 ) )
| ~ ( iext @ uri_rdf_first @ SY173 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY173 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[298]) ).
thf(302,plain,
! [SV18: $i,SV19: $i,SV17: $i,SV16: $i,SV14: $i] :
( ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) )
| ~ ( ip @ SV19 ) )
| ~ ! [SY152: $i,SY153: $i,SY154: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY152 @ SY153 )
| ~ ( iext @ SV19 @ SY153 @ SY154 ) )
| ( iext @ SV14 @ SY152 @ SY154 ) ) ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[299]) ).
thf(303,plain,
! [SV18: $i,SV16: $i,SV19: $i,SV17: $i,SV14: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) )
| ~ ( ip @ SV19 ) )
| ~ ! [SY155: $i,SY156: $i,SY157: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY155 @ SY156 )
| ~ ( iext @ SV19 @ SY156 @ SY157 ) )
| ( iext @ SV14 @ SY155 @ SY157 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[300]) ).
thf(304,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ sK15_SY159 ) )
| ~ ( iext @ uri_rdf_first @ sK15_SY159 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK15_SY159 @ sK16_SY164 ) )
| ~ ( iext @ uri_rdf_first @ sK16_SY164 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK16_SY164 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK17_SY168 ) )
| ~ ( iext @ uri_rdf_first @ sK17_SY168 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK17_SY168 @ sK18_SY171 ) )
| ~ ( iext @ uri_rdf_first @ sK18_SY171 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ sK18_SY171 @ sK19_SY173 ) )
| ~ ( iext @ uri_rdf_first @ sK19_SY173 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ sK19_SY173 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[301]) ).
thf(305,plain,
! [SV18: $i,SV19: $i,SV17: $i,SV16: $i,SV14: $i] :
( ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) )
| ~ ( ip @ SV19 ) )
| ~ ! [SY152: $i,SY153: $i,SY154: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY152 @ SY153 )
| ~ ( iext @ SV19 @ SY153 @ SY154 ) )
| ( iext @ SV14 @ SY152 @ SY154 ) ) ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[302]) ).
thf(306,plain,
! [SV18: $i,SV16: $i,SV19: $i,SV17: $i,SV14: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) )
| ~ ( ip @ SV19 ) )
| ~ ! [SY155: $i,SY156: $i,SY157: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY155 @ SY156 )
| ~ ( iext @ SV19 @ SY156 @ SY157 ) )
| ( iext @ SV14 @ SY155 @ SY157 ) ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[303]) ).
thf(307,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ sK15_SY159 ) )
| ~ ( iext @ uri_rdf_first @ sK15_SY159 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK15_SY159 @ sK16_SY164 ) )
| ~ ( iext @ uri_rdf_first @ sK16_SY164 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK16_SY164 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK17_SY168 ) )
| ~ ( iext @ uri_rdf_first @ sK17_SY168 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK17_SY168 @ sK18_SY171 ) )
| ~ ( iext @ uri_rdf_first @ sK18_SY171 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ sK18_SY171 @ sK19_SY173 ) )
| ~ ( iext @ uri_rdf_first @ sK19_SY173 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ sK19_SY173 @ uri_rdf_nil ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[304]) ).
thf(308,plain,
! [SV18: $i,SV19: $i,SV17: $i,SV16: $i,SV14: $i] :
( ( ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) )
| ~ ( ip @ SV19 ) )
| ~ ! [SY152: $i,SY153: $i,SY154: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY152 @ SY153 )
| ~ ( iext @ SV19 @ SY153 @ SY154 ) )
| ( iext @ SV14 @ SY152 @ SY154 ) ) ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[305]) ).
thf(309,plain,
! [SV18: $i,SV16: $i,SV19: $i,SV17: $i,SV14: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) )
| ~ ( ip @ SV19 ) )
| ~ ! [SY155: $i,SY156: $i,SY157: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY155 @ SY156 )
| ~ ( iext @ SV19 @ SY156 @ SY157 ) )
| ( iext @ SV14 @ SY155 @ SY157 ) ) ) )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[306]) ).
thf(310,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ sK15_SY159 ) )
| ~ ( iext @ uri_rdf_first @ sK15_SY159 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK15_SY159 @ sK16_SY164 ) )
| ~ ( iext @ uri_rdf_first @ sK16_SY164 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK16_SY164 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK17_SY168 ) )
| ~ ( iext @ uri_rdf_first @ sK17_SY168 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK17_SY168 @ sK18_SY171 ) )
| ~ ( iext @ uri_rdf_first @ sK18_SY171 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ sK18_SY171 @ sK19_SY173 ) )
| ~ ( iext @ uri_rdf_first @ sK19_SY173 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ sK19_SY173 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[307]) ).
thf(311,plain,
! [SV18: $i,SV16: $i,SV19: $i,SV17: $i,SV14: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) )
| ~ ( ip @ SV19 ) )
| ~ ! [SY152: $i,SY153: $i,SY154: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY152 @ SY153 )
| ~ ( iext @ SV19 @ SY153 @ SY154 ) )
| ( iext @ SV14 @ SY152 @ SY154 ) ) )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
= $false )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[308]) ).
thf(312,plain,
! [SV18: $i,SV16: $i,SV19: $i,SV17: $i,SV14: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) )
| ~ ( ip @ SV19 ) )
| ~ ! [SY155: $i,SY156: $i,SY157: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY155 @ SY156 )
| ~ ( iext @ SV19 @ SY156 @ SY157 ) )
| ( iext @ SV14 @ SY155 @ SY157 ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[309]) ).
thf(313,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ sK15_SY159 ) )
| ~ ( iext @ uri_rdf_first @ sK15_SY159 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK15_SY159 @ sK16_SY164 ) )
| ~ ( iext @ uri_rdf_first @ sK16_SY164 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK16_SY164 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK17_SY168 ) )
| ~ ( iext @ uri_rdf_first @ sK17_SY168 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK17_SY168 @ sK18_SY171 ) )
| ~ ( iext @ uri_rdf_first @ sK18_SY171 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ sK18_SY171 @ sK19_SY173 ) )
| ~ ( iext @ uri_rdf_first @ sK19_SY173 @ uri_ex_Z ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[310]) ).
thf(314,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK19_SY173 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[310]) ).
thf(315,plain,
! [SV18: $i,SV16: $i,SV19: $i,SV17: $i,SV14: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) )
| ~ ( ip @ SV19 ) ) )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
= $false )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[311]) ).
thf(316,plain,
! [SV18: $i,SV16: $i,SV14: $i,SV19: $i,SV17: $i] :
( ( ( ~ ! [SY152: $i,SY153: $i,SY154: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY152 @ SY153 )
| ~ ( iext @ SV19 @ SY153 @ SY154 ) )
| ( iext @ SV14 @ SY152 @ SY154 ) ) )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
= $false )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[311]) ).
thf(317,plain,
! [SV18: $i,SV16: $i,SV19: $i,SV17: $i,SV14: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) )
| ~ ( ip @ SV19 ) ) )
= $true )
| ( ( ~ ! [SY155: $i,SY156: $i,SY157: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY155 @ SY156 )
| ~ ( iext @ SV19 @ SY156 @ SY157 ) )
| ( iext @ SV14 @ SY155 @ SY157 ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[312]) ).
thf(318,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ sK15_SY159 ) )
| ~ ( iext @ uri_rdf_first @ sK15_SY159 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK15_SY159 @ sK16_SY164 ) )
| ~ ( iext @ uri_rdf_first @ sK16_SY164 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK16_SY164 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK17_SY168 ) )
| ~ ( iext @ uri_rdf_first @ sK17_SY168 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK17_SY168 @ sK18_SY171 ) )
| ~ ( iext @ uri_rdf_first @ sK18_SY171 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ sK18_SY171 @ sK19_SY173 ) )
| ~ ( iext @ uri_rdf_first @ sK19_SY173 @ uri_ex_Z ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[313]) ).
thf(319,plain,
( ( iext @ uri_rdf_rest @ sK19_SY173 @ uri_rdf_nil )
= $true ),
inference(extcnf_not_neg,[status(thm)],[314]) ).
thf(320,plain,
! [SV18: $i,SV16: $i,SV19: $i,SV17: $i,SV14: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) )
| ~ ( ip @ SV19 ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
= $false )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[315]) ).
thf(321,plain,
! [SV18: $i,SV16: $i,SV14: $i,SV19: $i,SV17: $i] :
( ( ( ! [SY152: $i,SY153: $i,SY154: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY152 @ SY153 )
| ~ ( iext @ SV19 @ SY153 @ SY154 ) )
| ( iext @ SV14 @ SY152 @ SY154 ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
= $false )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[316]) ).
thf(322,plain,
! [SV18: $i,SV16: $i,SV19: $i,SV17: $i,SV14: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) )
| ~ ( ip @ SV19 ) ) )
= $false )
| ( ( ~ ! [SY155: $i,SY156: $i,SY157: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY155 @ SY156 )
| ~ ( iext @ SV19 @ SY156 @ SY157 ) )
| ( iext @ SV14 @ SY155 @ SY157 ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[317]) ).
thf(323,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ sK15_SY159 ) )
| ~ ( iext @ uri_rdf_first @ sK15_SY159 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK15_SY159 @ sK16_SY164 ) )
| ~ ( iext @ uri_rdf_first @ sK16_SY164 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK16_SY164 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK17_SY168 ) )
| ~ ( iext @ uri_rdf_first @ sK17_SY168 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK17_SY168 @ sK18_SY171 ) )
| ~ ( iext @ uri_rdf_first @ sK18_SY171 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ sK18_SY171 @ sK19_SY173 ) )
| ~ ( iext @ uri_rdf_first @ sK19_SY173 @ uri_ex_Z ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[318]) ).
thf(324,plain,
! [SV18: $i,SV16: $i,SV19: $i,SV17: $i,SV14: $i] :
( ( ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) )
| ~ ( ip @ SV19 ) )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
= $false )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[320]) ).
thf(325,plain,
! [SV18: $i,SV16: $i,SV14: $i,SV19: $i,SV22: $i,SV17: $i] :
( ( ( ! [SY174: $i,SY175: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SV22 @ SY174 )
| ~ ( iext @ SV19 @ SY174 @ SY175 ) )
| ( iext @ SV14 @ SV22 @ SY175 ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
= $false )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[321]) ).
thf(326,plain,
! [SV18: $i,SV16: $i,SV19: $i,SV17: $i,SV14: $i] :
( ( ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) )
| ~ ( ip @ SV19 ) )
= $true )
| ( ( ~ ! [SY155: $i,SY156: $i,SY157: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY155 @ SY156 )
| ~ ( iext @ SV19 @ SY156 @ SY157 ) )
| ( iext @ SV14 @ SY155 @ SY157 ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[322]) ).
thf(327,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ sK15_SY159 ) )
| ~ ( iext @ uri_rdf_first @ sK15_SY159 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK15_SY159 @ sK16_SY164 ) )
| ~ ( iext @ uri_rdf_first @ sK16_SY164 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK16_SY164 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK17_SY168 ) )
| ~ ( iext @ uri_rdf_first @ sK17_SY168 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK17_SY168 @ sK18_SY171 ) )
| ~ ( iext @ uri_rdf_first @ sK18_SY171 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ sK18_SY171 @ sK19_SY173 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[323]) ).
thf(328,plain,
( ( ~ ( iext @ uri_rdf_first @ sK19_SY173 @ uri_ex_Z ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[323]) ).
thf(329,plain,
! [SV19: $i,SV18: $i,SV16: $i,SV17: $i,SV14: $i] :
( ( ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) ) )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
= $false )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[324]) ).
thf(330,plain,
! [SV17: $i,SV18: $i,SV16: $i,SV14: $i,SV19: $i] :
( ( ( ~ ( ip @ SV19 ) )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
= $false )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[324]) ).
thf(331,plain,
! [SV18: $i,SV16: $i,SV14: $i,SV19: $i,SV23: $i,SV22: $i,SV17: $i] :
( ( ( ! [SY176: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SV22 @ SV23 )
| ~ ( iext @ SV19 @ SV23 @ SY176 ) )
| ( iext @ SV14 @ SV22 @ SY176 ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
= $false )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[325]) ).
thf(332,plain,
! [SV18: $i,SV16: $i,SV19: $i,SV17: $i,SV14: $i] :
( ( ( ~ ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) ) )
= $true )
| ( ( ~ ( ip @ SV19 ) )
= $true )
| ( ( ~ ! [SY155: $i,SY156: $i,SY157: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY155 @ SY156 )
| ~ ( iext @ SV19 @ SY156 @ SY157 ) )
| ( iext @ SV14 @ SY155 @ SY157 ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[326]) ).
thf(333,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ sK15_SY159 ) )
| ~ ( iext @ uri_rdf_first @ sK15_SY159 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK15_SY159 @ sK16_SY164 ) )
| ~ ( iext @ uri_rdf_first @ sK16_SY164 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK16_SY164 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK17_SY168 ) )
| ~ ( iext @ uri_rdf_first @ sK17_SY168 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK17_SY168 @ sK18_SY171 ) )
| ~ ( iext @ uri_rdf_first @ sK18_SY171 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ sK18_SY171 @ sK19_SY173 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[327]) ).
thf(334,plain,
( ( iext @ uri_rdf_first @ sK19_SY173 @ uri_ex_Z )
= $true ),
inference(extcnf_not_neg,[status(thm)],[328]) ).
thf(335,plain,
! [SV19: $i,SV18: $i,SV16: $i,SV17: $i,SV14: $i] :
( ( ( ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
= $false )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[329]) ).
thf(336,plain,
! [SV17: $i,SV18: $i,SV16: $i,SV14: $i,SV19: $i] :
( ( ( ip @ SV19 )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
= $false )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[330]) ).
thf(337,plain,
! [SV18: $i,SV16: $i,SV14: $i,SV24: $i,SV19: $i,SV23: $i,SV22: $i,SV17: $i] :
( ( ( ~ ~ ( ~ ( iext @ SV17 @ SV22 @ SV23 )
| ~ ( iext @ SV19 @ SV23 @ SV24 ) )
| ( iext @ SV14 @ SV22 @ SV24 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
= $false )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[331]) ).
thf(338,plain,
! [SV18: $i,SV16: $i,SV19: $i,SV17: $i,SV14: $i] :
( ( ( ~ ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) ) )
= $false )
| ( ( ~ ( ip @ SV19 ) )
= $true )
| ( ( ~ ! [SY155: $i,SY156: $i,SY157: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY155 @ SY156 )
| ~ ( iext @ SV19 @ SY156 @ SY157 ) )
| ( iext @ SV14 @ SY155 @ SY157 ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[332]) ).
thf(339,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ sK15_SY159 ) )
| ~ ( iext @ uri_rdf_first @ sK15_SY159 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK15_SY159 @ sK16_SY164 ) )
| ~ ( iext @ uri_rdf_first @ sK16_SY164 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK16_SY164 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK17_SY168 ) )
| ~ ( iext @ uri_rdf_first @ sK17_SY168 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK17_SY168 @ sK18_SY171 ) )
| ~ ( iext @ uri_rdf_first @ sK18_SY171 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ sK18_SY171 @ sK19_SY173 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[333]) ).
thf(340,plain,
! [SV19: $i,SV18: $i,SV16: $i,SV17: $i,SV14: $i] :
( ( ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
= $false )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[335]) ).
thf(341,plain,
! [SV18: $i,SV16: $i,SV14: $i,SV24: $i,SV19: $i,SV23: $i,SV22: $i,SV17: $i] :
( ( ( ~ ~ ( ~ ( iext @ SV17 @ SV22 @ SV23 )
| ~ ( iext @ SV19 @ SV23 @ SV24 ) ) )
= $true )
| ( ( iext @ SV14 @ SV22 @ SV24 )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
= $false )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[337]) ).
thf(342,plain,
! [SV18: $i,SV16: $i,SV19: $i,SV17: $i,SV14: $i] :
( ( ( ~ ( ip @ SV14 )
| ~ ( ip @ SV17 ) )
= $true )
| ( ( ~ ( ip @ SV19 ) )
= $true )
| ( ( ~ ! [SY155: $i,SY156: $i,SY157: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY155 @ SY156 )
| ~ ( iext @ SV19 @ SY156 @ SY157 ) )
| ( iext @ SV14 @ SY155 @ SY157 ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[338]) ).
thf(343,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ sK15_SY159 ) )
| ~ ( iext @ uri_rdf_first @ sK15_SY159 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK15_SY159 @ sK16_SY164 ) )
| ~ ( iext @ uri_rdf_first @ sK16_SY164 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK16_SY164 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK17_SY168 ) )
| ~ ( iext @ uri_rdf_first @ sK17_SY168 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK17_SY168 @ sK18_SY171 ) )
| ~ ( iext @ uri_rdf_first @ sK18_SY171 @ uri_ex_Y ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[339]) ).
thf(344,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK18_SY171 @ sK19_SY173 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[339]) ).
thf(345,plain,
! [SV17: $i,SV19: $i,SV18: $i,SV16: $i,SV14: $i] :
( ( ( ~ ( ip @ SV14 ) )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
= $false )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[340]) ).
thf(346,plain,
! [SV19: $i,SV18: $i,SV16: $i,SV14: $i,SV17: $i] :
( ( ( ~ ( ip @ SV17 ) )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
= $false )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[340]) ).
thf(347,plain,
! [SV18: $i,SV16: $i,SV14: $i,SV24: $i,SV19: $i,SV23: $i,SV22: $i,SV17: $i] :
( ( ( ~ ( ~ ( iext @ SV17 @ SV22 @ SV23 )
| ~ ( iext @ SV19 @ SV23 @ SV24 ) ) )
= $false )
| ( ( iext @ SV14 @ SV22 @ SV24 )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
= $false )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[341]) ).
thf(348,plain,
! [SV18: $i,SV16: $i,SV19: $i,SV17: $i,SV14: $i] :
( ( ( ~ ( ip @ SV14 ) )
= $true )
| ( ( ~ ( ip @ SV17 ) )
= $true )
| ( ( ~ ( ip @ SV19 ) )
= $true )
| ( ( ~ ! [SY155: $i,SY156: $i,SY157: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY155 @ SY156 )
| ~ ( iext @ SV19 @ SY156 @ SY157 ) )
| ( iext @ SV14 @ SY155 @ SY157 ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[342]) ).
thf(349,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ sK15_SY159 ) )
| ~ ( iext @ uri_rdf_first @ sK15_SY159 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK15_SY159 @ sK16_SY164 ) )
| ~ ( iext @ uri_rdf_first @ sK16_SY164 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK16_SY164 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK17_SY168 ) )
| ~ ( iext @ uri_rdf_first @ sK17_SY168 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK17_SY168 @ sK18_SY171 ) )
| ~ ( iext @ uri_rdf_first @ sK18_SY171 @ uri_ex_Y ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[343]) ).
thf(350,plain,
( ( iext @ uri_rdf_rest @ sK18_SY171 @ sK19_SY173 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[344]) ).
thf(351,plain,
! [SV17: $i,SV19: $i,SV18: $i,SV16: $i,SV14: $i] :
( ( ( ip @ SV14 )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
= $false )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[345]) ).
thf(352,plain,
! [SV19: $i,SV18: $i,SV16: $i,SV14: $i,SV17: $i] :
( ( ( ip @ SV17 )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
= $false )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[346]) ).
thf(353,plain,
! [SV18: $i,SV16: $i,SV14: $i,SV24: $i,SV19: $i,SV23: $i,SV22: $i,SV17: $i] :
( ( ( ~ ( iext @ SV17 @ SV22 @ SV23 )
| ~ ( iext @ SV19 @ SV23 @ SV24 ) )
= $true )
| ( ( iext @ SV14 @ SV22 @ SV24 )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
= $false )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[347]) ).
thf(354,plain,
! [SV18: $i,SV16: $i,SV19: $i,SV17: $i,SV14: $i] :
( ( ( ip @ SV14 )
= $false )
| ( ( ~ ( ip @ SV17 ) )
= $true )
| ( ( ~ ( ip @ SV19 ) )
= $true )
| ( ( ~ ! [SY155: $i,SY156: $i,SY157: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY155 @ SY156 )
| ~ ( iext @ SV19 @ SY156 @ SY157 ) )
| ( iext @ SV14 @ SY155 @ SY157 ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[348]) ).
thf(355,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ sK15_SY159 ) )
| ~ ( iext @ uri_rdf_first @ sK15_SY159 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK15_SY159 @ sK16_SY164 ) )
| ~ ( iext @ uri_rdf_first @ sK16_SY164 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK16_SY164 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK17_SY168 ) )
| ~ ( iext @ uri_rdf_first @ sK17_SY168 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK17_SY168 @ sK18_SY171 ) )
| ~ ( iext @ uri_rdf_first @ sK18_SY171 @ uri_ex_Y ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[349]) ).
thf(356,plain,
! [SV18: $i,SV16: $i,SV14: $i,SV24: $i,SV19: $i,SV23: $i,SV22: $i,SV17: $i] :
( ( ( ~ ( iext @ SV17 @ SV22 @ SV23 ) )
= $true )
| ( ( ~ ( iext @ SV19 @ SV23 @ SV24 ) )
= $true )
| ( ( iext @ SV14 @ SV22 @ SV24 )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
= $false )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[353]) ).
thf(357,plain,
! [SV18: $i,SV16: $i,SV19: $i,SV14: $i,SV17: $i] :
( ( ( ip @ SV17 )
= $false )
| ( ( ip @ SV14 )
= $false )
| ( ( ~ ( ip @ SV19 ) )
= $true )
| ( ( ~ ! [SY155: $i,SY156: $i,SY157: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY155 @ SY156 )
| ~ ( iext @ SV19 @ SY156 @ SY157 ) )
| ( iext @ SV14 @ SY155 @ SY157 ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[354]) ).
thf(358,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ sK15_SY159 ) )
| ~ ( iext @ uri_rdf_first @ sK15_SY159 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK15_SY159 @ sK16_SY164 ) )
| ~ ( iext @ uri_rdf_first @ sK16_SY164 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK16_SY164 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK17_SY168 ) )
| ~ ( iext @ uri_rdf_first @ sK17_SY168 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK17_SY168 @ sK18_SY171 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[355]) ).
thf(359,plain,
( ( ~ ( iext @ uri_rdf_first @ sK18_SY171 @ uri_ex_Y ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[355]) ).
thf(360,plain,
! [SV18: $i,SV16: $i,SV14: $i,SV24: $i,SV19: $i,SV23: $i,SV22: $i,SV17: $i] :
( ( ( iext @ SV17 @ SV22 @ SV23 )
= $false )
| ( ( ~ ( iext @ SV19 @ SV23 @ SV24 ) )
= $true )
| ( ( iext @ SV14 @ SV22 @ SV24 )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
= $false )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[356]) ).
thf(361,plain,
! [SV18: $i,SV16: $i,SV17: $i,SV14: $i,SV19: $i] :
( ( ( ip @ SV19 )
= $false )
| ( ( ip @ SV14 )
= $false )
| ( ( ip @ SV17 )
= $false )
| ( ( ~ ! [SY155: $i,SY156: $i,SY157: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY155 @ SY156 )
| ~ ( iext @ SV19 @ SY156 @ SY157 ) )
| ( iext @ SV14 @ SY155 @ SY157 ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[357]) ).
thf(362,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ sK15_SY159 ) )
| ~ ( iext @ uri_rdf_first @ sK15_SY159 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK15_SY159 @ sK16_SY164 ) )
| ~ ( iext @ uri_rdf_first @ sK16_SY164 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK16_SY164 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK17_SY168 ) )
| ~ ( iext @ uri_rdf_first @ sK17_SY168 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK17_SY168 @ sK18_SY171 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[358]) ).
thf(363,plain,
( ( iext @ uri_rdf_first @ sK18_SY171 @ uri_ex_Y )
= $true ),
inference(extcnf_not_neg,[status(thm)],[359]) ).
thf(364,plain,
! [SV18: $i,SV16: $i,SV14: $i,SV22: $i,SV17: $i,SV24: $i,SV23: $i,SV19: $i] :
( ( ( iext @ SV19 @ SV23 @ SV24 )
= $false )
| ( ( iext @ SV17 @ SV22 @ SV23 )
= $false )
| ( ( iext @ SV14 @ SV22 @ SV24 )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
= $false )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[360]) ).
thf(365,plain,
! [SV18: $i,SV16: $i,SV14: $i,SV19: $i,SV17: $i] :
( ( ( ! [SY155: $i,SY156: $i,SY157: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ SY155 @ SY156 )
| ~ ( iext @ SV19 @ SY156 @ SY157 ) )
| ( iext @ SV14 @ SY155 @ SY157 ) ) )
= $false )
| ( ( ip @ SV17 )
= $false )
| ( ( ip @ SV14 )
= $false )
| ( ( ip @ SV19 )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[361]) ).
thf(366,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ sK15_SY159 ) )
| ~ ( iext @ uri_rdf_first @ sK15_SY159 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK15_SY159 @ sK16_SY164 ) )
| ~ ( iext @ uri_rdf_first @ sK16_SY164 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK16_SY164 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK17_SY168 ) )
| ~ ( iext @ uri_rdf_first @ sK17_SY168 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK17_SY168 @ sK18_SY171 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[362]) ).
thf(367,plain,
! [SV19: $i,SV14: $i,SV16: $i,SV18: $i,SV17: $i] :
( ( ( ! [SY177: $i,SY178: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ ( sK20_SY155 @ SV18 @ SV16 @ SV14 @ SV19 @ SV17 ) @ SY177 )
| ~ ( iext @ SV19 @ SY177 @ SY178 ) )
| ( iext @ SV14 @ ( sK20_SY155 @ SV18 @ SV16 @ SV14 @ SV19 @ SV17 ) @ SY178 ) ) )
= $false )
| ( ( ip @ SV17 )
= $false )
| ( ( ip @ SV14 )
= $false )
| ( ( ip @ SV19 )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[365]) ).
thf(368,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ sK15_SY159 ) )
| ~ ( iext @ uri_rdf_first @ sK15_SY159 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK15_SY159 @ sK16_SY164 ) )
| ~ ( iext @ uri_rdf_first @ sK16_SY164 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK16_SY164 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK17_SY168 ) )
| ~ ( iext @ uri_rdf_first @ sK17_SY168 @ uri_ex_X ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[366]) ).
thf(369,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK17_SY168 @ sK18_SY171 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[366]) ).
thf(370,plain,
! [SV19: $i,SV14: $i,SV16: $i,SV18: $i,SV17: $i] :
( ( ( ! [SY179: $i] :
( ~ ~ ( ~ ( iext @ SV17 @ ( sK20_SY155 @ SV18 @ SV16 @ SV14 @ SV19 @ SV17 ) @ ( sK21_SY177 @ SV19 @ SV14 @ SV16 @ SV18 @ SV17 ) )
| ~ ( iext @ SV19 @ ( sK21_SY177 @ SV19 @ SV14 @ SV16 @ SV18 @ SV17 ) @ SY179 ) )
| ( iext @ SV14 @ ( sK20_SY155 @ SV18 @ SV16 @ SV14 @ SV19 @ SV17 ) @ SY179 ) ) )
= $false )
| ( ( ip @ SV17 )
= $false )
| ( ( ip @ SV14 )
= $false )
| ( ( ip @ SV19 )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[367]) ).
thf(371,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ sK15_SY159 ) )
| ~ ( iext @ uri_rdf_first @ sK15_SY159 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK15_SY159 @ sK16_SY164 ) )
| ~ ( iext @ uri_rdf_first @ sK16_SY164 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK16_SY164 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK17_SY168 ) )
| ~ ( iext @ uri_rdf_first @ sK17_SY168 @ uri_ex_X ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[368]) ).
thf(372,plain,
( ( iext @ uri_rdf_rest @ sK17_SY168 @ sK18_SY171 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[369]) ).
thf(373,plain,
! [SV19: $i,SV14: $i,SV16: $i,SV18: $i,SV17: $i] :
( ( ( ~ ~ ( ~ ( iext @ SV17 @ ( sK20_SY155 @ SV18 @ SV16 @ SV14 @ SV19 @ SV17 ) @ ( sK21_SY177 @ SV19 @ SV14 @ SV16 @ SV18 @ SV17 ) )
| ~ ( iext @ SV19 @ ( sK21_SY177 @ SV19 @ SV14 @ SV16 @ SV18 @ SV17 ) @ ( sK22_SY179 @ SV19 @ SV14 @ SV16 @ SV18 @ SV17 ) ) )
| ( iext @ SV14 @ ( sK20_SY155 @ SV18 @ SV16 @ SV14 @ SV19 @ SV17 ) @ ( sK22_SY179 @ SV19 @ SV14 @ SV16 @ SV18 @ SV17 ) ) )
= $false )
| ( ( ip @ SV17 )
= $false )
| ( ( ip @ SV14 )
= $false )
| ( ( ip @ SV19 )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[370]) ).
thf(374,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ sK15_SY159 ) )
| ~ ( iext @ uri_rdf_first @ sK15_SY159 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK15_SY159 @ sK16_SY164 ) )
| ~ ( iext @ uri_rdf_first @ sK16_SY164 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK16_SY164 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK17_SY168 ) )
| ~ ( iext @ uri_rdf_first @ sK17_SY168 @ uri_ex_X ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[371]) ).
thf(375,plain,
! [SV19: $i,SV14: $i,SV16: $i,SV18: $i,SV17: $i] :
( ( ( ~ ~ ( ~ ( iext @ SV17 @ ( sK20_SY155 @ SV18 @ SV16 @ SV14 @ SV19 @ SV17 ) @ ( sK21_SY177 @ SV19 @ SV14 @ SV16 @ SV18 @ SV17 ) )
| ~ ( iext @ SV19 @ ( sK21_SY177 @ SV19 @ SV14 @ SV16 @ SV18 @ SV17 ) @ ( sK22_SY179 @ SV19 @ SV14 @ SV16 @ SV18 @ SV17 ) ) ) )
= $false )
| ( ( ip @ SV17 )
= $false )
| ( ( ip @ SV14 )
= $false )
| ( ( ip @ SV19 )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[373]) ).
thf(376,plain,
! [SV17: $i,SV19: $i,SV16: $i,SV18: $i,SV14: $i] :
( ( ( iext @ SV14 @ ( sK20_SY155 @ SV18 @ SV16 @ SV14 @ SV19 @ SV17 ) @ ( sK22_SY179 @ SV19 @ SV14 @ SV16 @ SV18 @ SV17 ) )
= $false )
| ( ( ip @ SV17 )
= $false )
| ( ( ip @ SV14 )
= $false )
| ( ( ip @ SV19 )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[373]) ).
thf(377,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ sK15_SY159 ) )
| ~ ( iext @ uri_rdf_first @ sK15_SY159 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK15_SY159 @ sK16_SY164 ) )
| ~ ( iext @ uri_rdf_first @ sK16_SY164 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK16_SY164 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK17_SY168 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[374]) ).
thf(378,plain,
( ( ~ ( iext @ uri_rdf_first @ sK17_SY168 @ uri_ex_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[374]) ).
thf(379,plain,
! [SV19: $i,SV14: $i,SV16: $i,SV18: $i,SV17: $i] :
( ( ( ~ ( ~ ( iext @ SV17 @ ( sK20_SY155 @ SV18 @ SV16 @ SV14 @ SV19 @ SV17 ) @ ( sK21_SY177 @ SV19 @ SV14 @ SV16 @ SV18 @ SV17 ) )
| ~ ( iext @ SV19 @ ( sK21_SY177 @ SV19 @ SV14 @ SV16 @ SV18 @ SV17 ) @ ( sK22_SY179 @ SV19 @ SV14 @ SV16 @ SV18 @ SV17 ) ) ) )
= $true )
| ( ( ip @ SV17 )
= $false )
| ( ( ip @ SV14 )
= $false )
| ( ( ip @ SV19 )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[375]) ).
thf(380,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ sK15_SY159 ) )
| ~ ( iext @ uri_rdf_first @ sK15_SY159 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK15_SY159 @ sK16_SY164 ) )
| ~ ( iext @ uri_rdf_first @ sK16_SY164 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK16_SY164 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK17_SY168 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[377]) ).
thf(381,plain,
( ( iext @ uri_rdf_first @ sK17_SY168 @ uri_ex_X )
= $true ),
inference(extcnf_not_neg,[status(thm)],[378]) ).
thf(382,plain,
! [SV19: $i,SV14: $i,SV16: $i,SV18: $i,SV17: $i] :
( ( ( ~ ( iext @ SV17 @ ( sK20_SY155 @ SV18 @ SV16 @ SV14 @ SV19 @ SV17 ) @ ( sK21_SY177 @ SV19 @ SV14 @ SV16 @ SV18 @ SV17 ) )
| ~ ( iext @ SV19 @ ( sK21_SY177 @ SV19 @ SV14 @ SV16 @ SV18 @ SV17 ) @ ( sK22_SY179 @ SV19 @ SV14 @ SV16 @ SV18 @ SV17 ) ) )
= $false )
| ( ( ip @ SV17 )
= $false )
| ( ( ip @ SV14 )
= $false )
| ( ( ip @ SV19 )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[379]) ).
thf(383,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ sK15_SY159 ) )
| ~ ( iext @ uri_rdf_first @ sK15_SY159 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK15_SY159 @ sK16_SY164 ) )
| ~ ( iext @ uri_rdf_first @ sK16_SY164 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK16_SY164 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK17_SY168 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[380]) ).
thf(384,plain,
! [SV19: $i,SV14: $i,SV16: $i,SV18: $i,SV17: $i] :
( ( ( ~ ( iext @ SV17 @ ( sK20_SY155 @ SV18 @ SV16 @ SV14 @ SV19 @ SV17 ) @ ( sK21_SY177 @ SV19 @ SV14 @ SV16 @ SV18 @ SV17 ) ) )
= $false )
| ( ( ip @ SV17 )
= $false )
| ( ( ip @ SV14 )
= $false )
| ( ( ip @ SV19 )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[382]) ).
thf(385,plain,
! [SV17: $i,SV18: $i,SV16: $i,SV14: $i,SV19: $i] :
( ( ( ~ ( iext @ SV19 @ ( sK21_SY177 @ SV19 @ SV14 @ SV16 @ SV18 @ SV17 ) @ ( sK22_SY179 @ SV19 @ SV14 @ SV16 @ SV18 @ SV17 ) ) )
= $false )
| ( ( ip @ SV17 )
= $false )
| ( ( ip @ SV14 )
= $false )
| ( ( ip @ SV19 )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[382]) ).
thf(386,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ sK15_SY159 ) )
| ~ ( iext @ uri_rdf_first @ sK15_SY159 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK15_SY159 @ sK16_SY164 ) )
| ~ ( iext @ uri_rdf_first @ sK16_SY164 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK16_SY164 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[383]) ).
thf(387,plain,
( ( ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK17_SY168 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[383]) ).
thf(388,plain,
! [SV19: $i,SV14: $i,SV16: $i,SV18: $i,SV17: $i] :
( ( ( iext @ SV17 @ ( sK20_SY155 @ SV18 @ SV16 @ SV14 @ SV19 @ SV17 ) @ ( sK21_SY177 @ SV19 @ SV14 @ SV16 @ SV18 @ SV17 ) )
= $true )
| ( ( ip @ SV17 )
= $false )
| ( ( ip @ SV14 )
= $false )
| ( ( ip @ SV19 )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[384]) ).
thf(389,plain,
! [SV17: $i,SV18: $i,SV16: $i,SV14: $i,SV19: $i] :
( ( ( iext @ SV19 @ ( sK21_SY177 @ SV19 @ SV14 @ SV16 @ SV18 @ SV17 ) @ ( sK22_SY179 @ SV19 @ SV14 @ SV16 @ SV18 @ SV17 ) )
= $true )
| ( ( ip @ SV17 )
= $false )
| ( ( ip @ SV14 )
= $false )
| ( ( ip @ SV19 )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV14 @ SV16 )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[385]) ).
thf(390,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ sK15_SY159 ) )
| ~ ( iext @ uri_rdf_first @ sK15_SY159 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK15_SY159 @ sK16_SY164 ) )
| ~ ( iext @ uri_rdf_first @ sK16_SY164 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK16_SY164 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[386]) ).
thf(391,plain,
( ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK17_SY168 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[387]) ).
thf(392,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ sK15_SY159 ) )
| ~ ( iext @ uri_rdf_first @ sK15_SY159 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK15_SY159 @ sK16_SY164 ) )
| ~ ( iext @ uri_rdf_first @ sK16_SY164 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK16_SY164 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(393,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ sK15_SY159 ) )
| ~ ( iext @ uri_rdf_first @ sK15_SY159 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK15_SY159 @ sK16_SY164 ) )
| ~ ( iext @ uri_rdf_first @ sK16_SY164 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK16_SY164 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[392]) ).
thf(394,plain,
( ( ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[392]) ).
thf(395,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ sK15_SY159 ) )
| ~ ( iext @ uri_rdf_first @ sK15_SY159 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK15_SY159 @ sK16_SY164 ) )
| ~ ( iext @ uri_rdf_first @ sK16_SY164 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK16_SY164 @ uri_rdf_nil ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[393]) ).
thf(396,plain,
( ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection )
= $true ),
inference(extcnf_not_neg,[status(thm)],[394]) ).
thf(397,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ sK15_SY159 ) )
| ~ ( iext @ uri_rdf_first @ sK15_SY159 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK15_SY159 @ sK16_SY164 ) )
| ~ ( iext @ uri_rdf_first @ sK16_SY164 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK16_SY164 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[395]) ).
thf(398,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ sK15_SY159 ) )
| ~ ( iext @ uri_rdf_first @ sK15_SY159 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK15_SY159 @ sK16_SY164 ) )
| ~ ( iext @ uri_rdf_first @ sK16_SY164 @ uri_rdf_rest ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[397]) ).
thf(399,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK16_SY164 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[397]) ).
thf(400,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ sK15_SY159 ) )
| ~ ( iext @ uri_rdf_first @ sK15_SY159 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK15_SY159 @ sK16_SY164 ) )
| ~ ( iext @ uri_rdf_first @ sK16_SY164 @ uri_rdf_rest ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[398]) ).
thf(401,plain,
( ( iext @ uri_rdf_rest @ sK16_SY164 @ uri_rdf_nil )
= $true ),
inference(extcnf_not_neg,[status(thm)],[399]) ).
thf(402,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ sK15_SY159 ) )
| ~ ( iext @ uri_rdf_first @ sK15_SY159 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK15_SY159 @ sK16_SY164 ) )
| ~ ( iext @ uri_rdf_first @ sK16_SY164 @ uri_rdf_rest ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[400]) ).
thf(403,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ sK15_SY159 ) )
| ~ ( iext @ uri_rdf_first @ sK15_SY159 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK15_SY159 @ sK16_SY164 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[402]) ).
thf(404,plain,
( ( ~ ( iext @ uri_rdf_first @ sK16_SY164 @ uri_rdf_rest ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[402]) ).
thf(405,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ sK15_SY159 ) )
| ~ ( iext @ uri_rdf_first @ sK15_SY159 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK15_SY159 @ sK16_SY164 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[403]) ).
thf(406,plain,
( ( iext @ uri_rdf_first @ sK16_SY164 @ uri_rdf_rest )
= $true ),
inference(extcnf_not_neg,[status(thm)],[404]) ).
thf(407,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ sK15_SY159 ) )
| ~ ( iext @ uri_rdf_first @ sK15_SY159 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK15_SY159 @ sK16_SY164 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[405]) ).
thf(408,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ sK15_SY159 ) )
| ~ ( iext @ uri_rdf_first @ sK15_SY159 @ sK12_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[407]) ).
thf(409,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK15_SY159 @ sK16_SY164 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[407]) ).
thf(410,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ sK15_SY159 ) )
| ~ ( iext @ uri_rdf_first @ sK15_SY159 @ sK12_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[408]) ).
thf(411,plain,
( ( iext @ uri_rdf_rest @ sK15_SY159 @ sK16_SY164 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[409]) ).
thf(412,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ sK15_SY159 ) )
| ~ ( iext @ uri_rdf_first @ sK15_SY159 @ sK12_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[410]) ).
thf(413,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ sK15_SY159 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[412]) ).
thf(414,plain,
( ( ~ ( iext @ uri_rdf_first @ sK15_SY159 @ sK12_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[412]) ).
thf(415,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ sK15_SY159 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[413]) ).
thf(416,plain,
( ( iext @ uri_rdf_first @ sK15_SY159 @ sK12_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[414]) ).
thf(417,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ sK15_SY159 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[415]) ).
thf(418,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[417]) ).
thf(419,plain,
( ( ~ ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ sK15_SY159 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[417]) ).
thf(420,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[418]) ).
thf(421,plain,
( ( iext @ uri_owl_propertyChainAxiom @ sK12_SX0 @ sK15_SY159 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[419]) ).
thf(422,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[420]) ).
thf(423,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[422]) ).
thf(424,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[422]) ).
thf(425,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[423]) ).
thf(426,plain,
( ( iext @ uri_rdf_rest @ sK14_SY146 @ uri_rdf_nil )
= $true ),
inference(extcnf_not_neg,[status(thm)],[424]) ).
thf(427,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
| ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[425]) ).
thf(428,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[427]) ).
thf(429,plain,
( ( ~ ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[427]) ).
thf(430,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[428]) ).
thf(431,plain,
( ( iext @ uri_rdf_first @ sK14_SY146 @ uri_rdf_first )
= $true ),
inference(extcnf_not_neg,[status(thm)],[429]) ).
thf(432,plain,
( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[430]) ).
thf(433,plain,
( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[432]) ).
thf(434,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[432]) ).
thf(435,plain,
( ( ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[433]) ).
thf(436,plain,
( ( iext @ uri_rdf_rest @ sK13_SY115 @ sK14_SY146 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[434]) ).
thf(437,plain,
( ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
| ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[435]) ).
thf(438,plain,
( ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[437]) ).
thf(439,plain,
( ( ~ ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[437]) ).
thf(440,plain,
( ( ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[438]) ).
thf(441,plain,
( ( iext @ uri_rdf_first @ sK13_SY115 @ sK12_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[439]) ).
thf(442,plain,
( ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[440]) ).
thf(443,plain,
( ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[442]) ).
thf(444,plain,
( ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[442]) ).
thf(445,plain,
( ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK12_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[443]) ).
thf(446,plain,
( ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK13_SY115 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[444]) ).
thf(447,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[239,446,445,441,436,431,426,421,416,411,406,401,396,391,389,388,381,376,372,364,363,352,351,350,336,334,319,277,273,272]) ).
thf(448,plain,
( ( ! [P: $i,Q: $i] :
( ( iext @ uri_rdfs_subPropertyOf @ P @ Q )
=> ( ( ip @ P )
& ( ip @ Q )
& ! [X: $i,Y: $i] :
( ( iext @ P @ X @ Y )
=> ( iext @ Q @ X @ Y ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(449,plain,
( ( ! [P: $i,S1: $i,P1: $i,S2: $i,P2: $i] :
( ( ( iext @ uri_rdf_first @ S1 @ P1 )
& ( iext @ uri_rdf_rest @ S1 @ S2 )
& ( iext @ uri_rdf_first @ S2 @ P2 )
& ( iext @ uri_rdf_rest @ S2 @ uri_rdf_nil ) )
=> ( ( iext @ uri_owl_propertyChainAxiom @ P @ S1 )
<=> ( ( ip @ P )
& ( ip @ P1 )
& ( ip @ P2 )
& ! [Y0: $i,Y1: $i,Y2: $i] :
( ( ( iext @ P1 @ Y0 @ Y1 )
& ( iext @ P2 @ Y1 @ Y2 ) )
=> ( iext @ P @ Y0 @ Y2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(450,plain,
( ( ? [BNODE_pL: $i,BNODE_l11: $i,BNODE_l12: $i,BNODE_l21: $i,BNODE_l22: $i,BNODE_l31: $i,BNODE_l32: $i,BNODE_l33: $i] :
( ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ BNODE_pL )
& ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ BNODE_l11 )
& ( iext @ uri_rdf_first @ BNODE_l11 @ BNODE_pL )
& ( iext @ uri_rdf_rest @ BNODE_l11 @ BNODE_l12 )
& ( iext @ uri_rdf_first @ BNODE_l12 @ uri_rdf_first )
& ( iext @ uri_rdf_rest @ BNODE_l12 @ uri_rdf_nil )
& ( iext @ uri_owl_propertyChainAxiom @ BNODE_pL @ BNODE_l21 )
& ( iext @ uri_rdf_first @ BNODE_l21 @ BNODE_pL )
& ( iext @ uri_rdf_rest @ BNODE_l21 @ BNODE_l22 )
& ( iext @ uri_rdf_first @ BNODE_l22 @ uri_rdf_rest )
& ( iext @ uri_rdf_rest @ BNODE_l22 @ uri_rdf_nil )
& ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection )
& ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ BNODE_l31 )
& ( iext @ uri_rdf_first @ BNODE_l31 @ uri_ex_X )
& ( iext @ uri_rdf_rest @ BNODE_l31 @ BNODE_l32 )
& ( iext @ uri_rdf_first @ BNODE_l32 @ uri_ex_Y )
& ( iext @ uri_rdf_rest @ BNODE_l32 @ BNODE_l33 )
& ( iext @ uri_rdf_first @ BNODE_l33 @ uri_ex_Z )
& ( iext @ uri_rdf_rest @ BNODE_l33 @ uri_rdf_nil ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(451,plain,
( ( ~ ( iext @ uri_skos_member @ uri_ex_MyOrderedCollection @ uri_ex_Z ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(452,plain,
( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ~ ! [SX6: $i] :
~ ~ ! [SX7: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ SX1 ) )
| ~ ( iext @ uri_rdf_first @ SX1 @ SX0 ) )
| ~ ( iext @ uri_rdf_rest @ SX1 @ SX2 ) )
| ~ ( iext @ uri_rdf_first @ SX2 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ SX2 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SX0 @ SX3 ) )
| ~ ( iext @ uri_rdf_first @ SX3 @ SX0 ) )
| ~ ( iext @ uri_rdf_rest @ SX3 @ SX4 ) )
| ~ ( iext @ uri_rdf_first @ SX4 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ SX4 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ SX5 ) )
| ~ ( iext @ uri_rdf_first @ SX5 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ SX5 @ SX6 ) )
| ~ ( iext @ uri_rdf_first @ SX6 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SX6 @ SX7 ) )
| ~ ( iext @ uri_rdf_first @ SX7 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SX7 @ uri_rdf_nil ) ) )
= $true ),
inference(unfold_def,[status(thm)],[450]) ).
thf(453,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX1 )
| ~ ( ~ ~ ( ~ ( ip @ SX0 )
| ~ ( ip @ SX1 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( iext @ SX0 @ SX2 @ SX3 )
| ( iext @ SX1 @ SX2 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[448]) ).
thf(454,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SX1 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SX1 @ SX3 ) )
| ~ ( iext @ uri_rdf_first @ SX3 @ SX4 ) )
| ~ ( iext @ uri_rdf_rest @ SX3 @ uri_rdf_nil ) )
| ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SX0 @ SX1 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SX0 )
| ~ ( ip @ SX2 ) )
| ~ ( ip @ SX4 ) )
| ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( iext @ SX2 @ SX5 @ SX6 )
| ~ ( iext @ SX4 @ SX6 @ SX7 ) )
| ( iext @ SX0 @ SX5 @ SX7 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SX0 )
| ~ ( ip @ SX2 ) )
| ~ ( ip @ SX4 ) )
| ~ ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( iext @ SX2 @ SX5 @ SX6 )
| ~ ( iext @ SX4 @ SX6 @ SX7 ) )
| ( iext @ SX0 @ SX5 @ SX7 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[449]) ).
thf(455,plain,
( ( iext @ uri_skos_member @ uri_ex_MyOrderedCollection @ uri_ex_Z )
= $false ),
inference(extcnf_not_pos,[status(thm)],[451]) ).
thf(456,plain,
( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ~ ! [SX6: $i] :
~ ~ ! [SX7: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ SX1 ) )
| ~ ( iext @ uri_rdf_first @ SX1 @ SX0 ) )
| ~ ( iext @ uri_rdf_rest @ SX1 @ SX2 ) )
| ~ ( iext @ uri_rdf_first @ SX2 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ SX2 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SX0 @ SX3 ) )
| ~ ( iext @ uri_rdf_first @ SX3 @ SX0 ) )
| ~ ( iext @ uri_rdf_rest @ SX3 @ SX4 ) )
| ~ ( iext @ uri_rdf_first @ SX4 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ SX4 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ SX5 ) )
| ~ ( iext @ uri_rdf_first @ SX5 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ SX5 @ SX6 ) )
| ~ ( iext @ uri_rdf_first @ SX6 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SX6 @ SX7 ) )
| ~ ( iext @ uri_rdf_first @ SX7 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SX7 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[452]) ).
thf(457,plain,
! [SV25: $i] :
( ( ! [SY180: $i] :
( ~ ( iext @ uri_rdfs_subPropertyOf @ SV25 @ SY180 )
| ~ ( ~ ~ ( ~ ( ip @ SV25 )
| ~ ( ip @ SY180 ) )
| ~ ! [SY181: $i,SY182: $i] :
( ~ ( iext @ SV25 @ SY181 @ SY182 )
| ( iext @ SY180 @ SY181 @ SY182 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[453]) ).
thf(458,plain,
! [SV26: $i] :
( ( ! [SY183: $i,SY184: $i,SY185: $i,SY186: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SY183 @ SY184 )
| ~ ( iext @ uri_rdf_rest @ SY183 @ SY185 ) )
| ~ ( iext @ uri_rdf_first @ SY185 @ SY186 ) )
| ~ ( iext @ uri_rdf_rest @ SY185 @ uri_rdf_nil ) )
| ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SY183 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SY184 ) )
| ~ ( ip @ SY186 ) )
| ~ ! [SY187: $i,SY188: $i,SY189: $i] :
( ~ ~ ( ~ ( iext @ SY184 @ SY187 @ SY188 )
| ~ ( iext @ SY186 @ SY188 @ SY189 ) )
| ( iext @ SV26 @ SY187 @ SY189 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SY184 ) )
| ~ ( ip @ SY186 ) )
| ~ ! [SY190: $i,SY191: $i,SY192: $i] :
( ~ ~ ( ~ ( iext @ SY184 @ SY190 @ SY191 )
| ~ ( iext @ SY186 @ SY191 @ SY192 ) )
| ( iext @ SV26 @ SY190 @ SY192 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SY183 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[454]) ).
thf(459,plain,
( ( ~ ~ ! [SY193: $i] :
~ ~ ! [SY194: $i] :
~ ~ ! [SY195: $i] :
~ ~ ! [SY196: $i] :
~ ~ ! [SY197: $i] :
~ ~ ! [SY198: $i] :
~ ~ ! [SY199: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ SY193 ) )
| ~ ( iext @ uri_rdf_first @ SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ SY193 @ SY194 ) )
| ~ ( iext @ uri_rdf_first @ SY194 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ SY194 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ SY195 ) )
| ~ ( iext @ uri_rdf_first @ SY195 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ SY195 @ SY196 ) )
| ~ ( iext @ uri_rdf_first @ SY196 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ SY196 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ SY197 ) )
| ~ ( iext @ uri_rdf_first @ SY197 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ SY197 @ SY198 ) )
| ~ ( iext @ uri_rdf_first @ SY198 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SY198 @ SY199 ) )
| ~ ( iext @ uri_rdf_first @ SY199 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY199 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[456]) ).
thf(460,plain,
! [SV27: $i,SV25: $i] :
( ( ~ ( iext @ uri_rdfs_subPropertyOf @ SV25 @ SV27 )
| ~ ( ~ ~ ( ~ ( ip @ SV25 )
| ~ ( ip @ SV27 ) )
| ~ ! [SY200: $i,SY201: $i] :
( ~ ( iext @ SV25 @ SY200 @ SY201 )
| ( iext @ SV27 @ SY200 @ SY201 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[457]) ).
thf(461,plain,
! [SV26: $i,SV28: $i] :
( ( ! [SY202: $i,SY203: $i,SY204: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV28 @ SY202 )
| ~ ( iext @ uri_rdf_rest @ SV28 @ SY203 ) )
| ~ ( iext @ uri_rdf_first @ SY203 @ SY204 ) )
| ~ ( iext @ uri_rdf_rest @ SY203 @ uri_rdf_nil ) )
| ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SY202 ) )
| ~ ( ip @ SY204 ) )
| ~ ! [SY187: $i,SY188: $i,SY189: $i] :
( ~ ~ ( ~ ( iext @ SY202 @ SY187 @ SY188 )
| ~ ( iext @ SY204 @ SY188 @ SY189 ) )
| ( iext @ SV26 @ SY187 @ SY189 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SY202 ) )
| ~ ( ip @ SY204 ) )
| ~ ! [SY190: $i,SY191: $i,SY192: $i] :
( ~ ~ ( ~ ( iext @ SY202 @ SY190 @ SY191 )
| ~ ( iext @ SY204 @ SY191 @ SY192 ) )
| ( iext @ SV26 @ SY190 @ SY192 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[458]) ).
thf(462,plain,
( ( ~ ! [SY193: $i] :
~ ~ ! [SY194: $i] :
~ ~ ! [SY195: $i] :
~ ~ ! [SY196: $i] :
~ ~ ! [SY197: $i] :
~ ~ ! [SY198: $i] :
~ ~ ! [SY199: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ SY193 ) )
| ~ ( iext @ uri_rdf_first @ SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ SY193 @ SY194 ) )
| ~ ( iext @ uri_rdf_first @ SY194 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ SY194 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ SY195 ) )
| ~ ( iext @ uri_rdf_first @ SY195 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ SY195 @ SY196 ) )
| ~ ( iext @ uri_rdf_first @ SY196 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ SY196 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ SY197 ) )
| ~ ( iext @ uri_rdf_first @ SY197 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ SY197 @ SY198 ) )
| ~ ( iext @ uri_rdf_first @ SY198 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SY198 @ SY199 ) )
| ~ ( iext @ uri_rdf_first @ SY199 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY199 @ uri_rdf_nil ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[459]) ).
thf(463,plain,
! [SV27: $i,SV25: $i] :
( ( ( ~ ( iext @ uri_rdfs_subPropertyOf @ SV25 @ SV27 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ip @ SV25 )
| ~ ( ip @ SV27 ) )
| ~ ! [SY200: $i,SY201: $i] :
( ~ ( iext @ SV25 @ SY200 @ SY201 )
| ( iext @ SV27 @ SY200 @ SY201 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[460]) ).
thf(464,plain,
! [SV26: $i,SV29: $i,SV28: $i] :
( ( ! [SY211: $i,SY212: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV28 @ SV29 )
| ~ ( iext @ uri_rdf_rest @ SV28 @ SY211 ) )
| ~ ( iext @ uri_rdf_first @ SY211 @ SY212 ) )
| ~ ( iext @ uri_rdf_rest @ SY211 @ uri_rdf_nil ) )
| ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) )
| ~ ( ip @ SY212 ) )
| ~ ! [SY213: $i,SY214: $i,SY215: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY213 @ SY214 )
| ~ ( iext @ SY212 @ SY214 @ SY215 ) )
| ( iext @ SV26 @ SY213 @ SY215 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) )
| ~ ( ip @ SY212 ) )
| ~ ! [SY216: $i,SY217: $i,SY218: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY216 @ SY217 )
| ~ ( iext @ SY212 @ SY217 @ SY218 ) )
| ( iext @ SV26 @ SY216 @ SY218 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[461]) ).
thf(465,plain,
( ( ! [SY193: $i] :
~ ~ ! [SY194: $i] :
~ ~ ! [SY195: $i] :
~ ~ ! [SY196: $i] :
~ ~ ! [SY197: $i] :
~ ~ ! [SY198: $i] :
~ ~ ! [SY199: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ SY193 ) )
| ~ ( iext @ uri_rdf_first @ SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ SY193 @ SY194 ) )
| ~ ( iext @ uri_rdf_first @ SY194 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ SY194 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ SY195 ) )
| ~ ( iext @ uri_rdf_first @ SY195 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ SY195 @ SY196 ) )
| ~ ( iext @ uri_rdf_first @ SY196 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ SY196 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ SY197 ) )
| ~ ( iext @ uri_rdf_first @ SY197 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ SY197 @ SY198 ) )
| ~ ( iext @ uri_rdf_first @ SY198 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SY198 @ SY199 ) )
| ~ ( iext @ uri_rdf_first @ SY199 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY199 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[462]) ).
thf(466,plain,
! [SV27: $i,SV25: $i] :
( ( ( iext @ uri_rdfs_subPropertyOf @ SV25 @ SV27 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( ip @ SV25 )
| ~ ( ip @ SV27 ) )
| ~ ! [SY200: $i,SY201: $i] :
( ~ ( iext @ SV25 @ SY200 @ SY201 )
| ( iext @ SV27 @ SY200 @ SY201 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[463]) ).
thf(467,plain,
! [SV26: $i,SV30: $i,SV29: $i,SV28: $i] :
( ( ! [SY219: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV28 @ SV29 )
| ~ ( iext @ uri_rdf_rest @ SV28 @ SV30 ) )
| ~ ( iext @ uri_rdf_first @ SV30 @ SY219 ) )
| ~ ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil ) )
| ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) )
| ~ ( ip @ SY219 ) )
| ~ ! [SY213: $i,SY214: $i,SY215: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY213 @ SY214 )
| ~ ( iext @ SY219 @ SY214 @ SY215 ) )
| ( iext @ SV26 @ SY213 @ SY215 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) )
| ~ ( ip @ SY219 ) )
| ~ ! [SY216: $i,SY217: $i,SY218: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY216 @ SY217 )
| ~ ( iext @ SY219 @ SY217 @ SY218 ) )
| ( iext @ SV26 @ SY216 @ SY218 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[464]) ).
thf(468,plain,
( ( ~ ~ ! [SY226: $i] :
~ ~ ! [SY227: $i] :
~ ~ ! [SY228: $i] :
~ ~ ! [SY229: $i] :
~ ~ ! [SY230: $i] :
~ ~ ! [SY231: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ SY226 ) )
| ~ ( iext @ uri_rdf_first @ SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ SY227 ) )
| ~ ( iext @ uri_rdf_first @ SY227 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ SY227 @ SY228 ) )
| ~ ( iext @ uri_rdf_first @ SY228 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ SY228 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ SY229 ) )
| ~ ( iext @ uri_rdf_first @ SY229 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ SY229 @ SY230 ) )
| ~ ( iext @ uri_rdf_first @ SY230 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SY230 @ SY231 ) )
| ~ ( iext @ uri_rdf_first @ SY231 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY231 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[465]) ).
thf(469,plain,
! [SV27: $i,SV25: $i] :
( ( ( ~ ~ ( ~ ( ip @ SV25 )
| ~ ( ip @ SV27 ) )
| ~ ! [SY200: $i,SY201: $i] :
( ~ ( iext @ SV25 @ SY200 @ SY201 )
| ( iext @ SV27 @ SY200 @ SY201 ) ) )
= $false )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV25 @ SV27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[466]) ).
thf(470,plain,
! [SV26: $i,SV31: $i,SV30: $i,SV29: $i,SV28: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV28 @ SV29 )
| ~ ( iext @ uri_rdf_rest @ SV28 @ SV30 ) )
| ~ ( iext @ uri_rdf_first @ SV30 @ SV31 ) )
| ~ ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil ) )
| ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) )
| ~ ( ip @ SV31 ) )
| ~ ! [SY232: $i,SY233: $i,SY234: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY232 @ SY233 )
| ~ ( iext @ SV31 @ SY233 @ SY234 ) )
| ( iext @ SV26 @ SY232 @ SY234 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) )
| ~ ( ip @ SV31 ) )
| ~ ! [SY235: $i,SY236: $i,SY237: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY235 @ SY236 )
| ~ ( iext @ SV31 @ SY236 @ SY237 ) )
| ( iext @ SV26 @ SY235 @ SY237 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[467]) ).
thf(471,plain,
( ( ~ ! [SY226: $i] :
~ ~ ! [SY227: $i] :
~ ~ ! [SY228: $i] :
~ ~ ! [SY229: $i] :
~ ~ ! [SY230: $i] :
~ ~ ! [SY231: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ SY226 ) )
| ~ ( iext @ uri_rdf_first @ SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ SY227 ) )
| ~ ( iext @ uri_rdf_first @ SY227 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ SY227 @ SY228 ) )
| ~ ( iext @ uri_rdf_first @ SY228 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ SY228 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ SY229 ) )
| ~ ( iext @ uri_rdf_first @ SY229 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ SY229 @ SY230 ) )
| ~ ( iext @ uri_rdf_first @ SY230 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SY230 @ SY231 ) )
| ~ ( iext @ uri_rdf_first @ SY231 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY231 @ uri_rdf_nil ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[468]) ).
thf(472,plain,
! [SV27: $i,SV25: $i] :
( ( ( ~ ~ ( ~ ( ip @ SV25 )
| ~ ( ip @ SV27 ) ) )
= $false )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV25 @ SV27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[469]) ).
thf(473,plain,
! [SV27: $i,SV25: $i] :
( ( ( ~ ! [SY200: $i,SY201: $i] :
( ~ ( iext @ SV25 @ SY200 @ SY201 )
| ( iext @ SV27 @ SY200 @ SY201 ) ) )
= $false )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV25 @ SV27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[469]) ).
thf(474,plain,
! [SV26: $i,SV31: $i,SV30: $i,SV29: $i,SV28: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV28 @ SV29 )
| ~ ( iext @ uri_rdf_rest @ SV28 @ SV30 ) )
| ~ ( iext @ uri_rdf_first @ SV30 @ SV31 ) )
| ~ ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) )
| ~ ( ip @ SV31 ) )
| ~ ! [SY232: $i,SY233: $i,SY234: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY232 @ SY233 )
| ~ ( iext @ SV31 @ SY233 @ SY234 ) )
| ( iext @ SV26 @ SY232 @ SY234 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) )
| ~ ( ip @ SV31 ) )
| ~ ! [SY235: $i,SY236: $i,SY237: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY235 @ SY236 )
| ~ ( iext @ SV31 @ SY236 @ SY237 ) )
| ( iext @ SV26 @ SY235 @ SY237 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[470]) ).
thf(475,plain,
( ( ! [SY226: $i] :
~ ~ ! [SY227: $i] :
~ ~ ! [SY228: $i] :
~ ~ ! [SY229: $i] :
~ ~ ! [SY230: $i] :
~ ~ ! [SY231: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ SY226 ) )
| ~ ( iext @ uri_rdf_first @ SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ SY227 ) )
| ~ ( iext @ uri_rdf_first @ SY227 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ SY227 @ SY228 ) )
| ~ ( iext @ uri_rdf_first @ SY228 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ SY228 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ SY229 ) )
| ~ ( iext @ uri_rdf_first @ SY229 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ SY229 @ SY230 ) )
| ~ ( iext @ uri_rdf_first @ SY230 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SY230 @ SY231 ) )
| ~ ( iext @ uri_rdf_first @ SY231 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY231 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[471]) ).
thf(476,plain,
! [SV27: $i,SV25: $i] :
( ( ( ~ ( ~ ( ip @ SV25 )
| ~ ( ip @ SV27 ) ) )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV25 @ SV27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[472]) ).
thf(477,plain,
! [SV27: $i,SV25: $i] :
( ( ( ! [SY200: $i,SY201: $i] :
( ~ ( iext @ SV25 @ SY200 @ SY201 )
| ( iext @ SV27 @ SY200 @ SY201 ) ) )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV25 @ SV27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[473]) ).
thf(478,plain,
! [SV26: $i,SV31: $i,SV30: $i,SV29: $i,SV28: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV28 @ SV29 )
| ~ ( iext @ uri_rdf_rest @ SV28 @ SV30 ) )
| ~ ( iext @ uri_rdf_first @ SV30 @ SV31 ) )
| ~ ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) )
| ~ ( ip @ SV31 ) )
| ~ ! [SY232: $i,SY233: $i,SY234: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY232 @ SY233 )
| ~ ( iext @ SV31 @ SY233 @ SY234 ) )
| ( iext @ SV26 @ SY232 @ SY234 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) )
| ~ ( ip @ SV31 ) )
| ~ ! [SY235: $i,SY236: $i,SY237: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY235 @ SY236 )
| ~ ( iext @ SV31 @ SY236 @ SY237 ) )
| ( iext @ SV26 @ SY235 @ SY237 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[474]) ).
thf(479,plain,
( ( ~ ~ ! [SY238: $i] :
~ ~ ! [SY239: $i] :
~ ~ ! [SY240: $i] :
~ ~ ! [SY241: $i] :
~ ~ ! [SY242: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ SY238 ) )
| ~ ( iext @ uri_rdf_first @ SY238 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ SY238 @ SY239 ) )
| ~ ( iext @ uri_rdf_first @ SY239 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ SY239 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ SY240 ) )
| ~ ( iext @ uri_rdf_first @ SY240 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ SY240 @ SY241 ) )
| ~ ( iext @ uri_rdf_first @ SY241 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SY241 @ SY242 ) )
| ~ ( iext @ uri_rdf_first @ SY242 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY242 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[475]) ).
thf(480,plain,
! [SV27: $i,SV25: $i] :
( ( ( ~ ( ip @ SV25 )
| ~ ( ip @ SV27 ) )
= $false )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV25 @ SV27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[476]) ).
thf(481,plain,
! [SV27: $i,SV32: $i,SV25: $i] :
( ( ( ! [SY243: $i] :
( ~ ( iext @ SV25 @ SV32 @ SY243 )
| ( iext @ SV27 @ SV32 @ SY243 ) ) )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV25 @ SV27 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[477]) ).
thf(482,plain,
! [SV26: $i,SV31: $i,SV30: $i,SV29: $i,SV28: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV28 @ SV29 )
| ~ ( iext @ uri_rdf_rest @ SV28 @ SV30 ) )
| ~ ( iext @ uri_rdf_first @ SV30 @ SV31 ) )
| ~ ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) )
| ~ ( ip @ SV31 ) )
| ~ ! [SY232: $i,SY233: $i,SY234: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY232 @ SY233 )
| ~ ( iext @ SV31 @ SY233 @ SY234 ) )
| ( iext @ SV26 @ SY232 @ SY234 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) )
| ~ ( ip @ SV31 ) )
| ~ ! [SY235: $i,SY236: $i,SY237: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY235 @ SY236 )
| ~ ( iext @ SV31 @ SY236 @ SY237 ) )
| ( iext @ SV26 @ SY235 @ SY237 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[478]) ).
thf(483,plain,
( ( ~ ! [SY238: $i] :
~ ~ ! [SY239: $i] :
~ ~ ! [SY240: $i] :
~ ~ ! [SY241: $i] :
~ ~ ! [SY242: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ SY238 ) )
| ~ ( iext @ uri_rdf_first @ SY238 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ SY238 @ SY239 ) )
| ~ ( iext @ uri_rdf_first @ SY239 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ SY239 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ SY240 ) )
| ~ ( iext @ uri_rdf_first @ SY240 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ SY240 @ SY241 ) )
| ~ ( iext @ uri_rdf_first @ SY241 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SY241 @ SY242 ) )
| ~ ( iext @ uri_rdf_first @ SY242 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY242 @ uri_rdf_nil ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[479]) ).
thf(484,plain,
! [SV27: $i,SV25: $i] :
( ( ( ~ ( ip @ SV25 ) )
= $false )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV25 @ SV27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[480]) ).
thf(485,plain,
! [SV25: $i,SV27: $i] :
( ( ( ~ ( ip @ SV27 ) )
= $false )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV25 @ SV27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[480]) ).
thf(486,plain,
! [SV27: $i,SV33: $i,SV32: $i,SV25: $i] :
( ( ( ~ ( iext @ SV25 @ SV32 @ SV33 )
| ( iext @ SV27 @ SV32 @ SV33 ) )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV25 @ SV27 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[481]) ).
thf(487,plain,
! [SV26: $i,SV31: $i,SV30: $i,SV29: $i,SV28: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV28 @ SV29 )
| ~ ( iext @ uri_rdf_rest @ SV28 @ SV30 ) )
| ~ ( iext @ uri_rdf_first @ SV30 @ SV31 ) ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) )
| ~ ( ip @ SV31 ) )
| ~ ! [SY232: $i,SY233: $i,SY234: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY232 @ SY233 )
| ~ ( iext @ SV31 @ SY233 @ SY234 ) )
| ( iext @ SV26 @ SY232 @ SY234 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) )
| ~ ( ip @ SV31 ) )
| ~ ! [SY235: $i,SY236: $i,SY237: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY235 @ SY236 )
| ~ ( iext @ SV31 @ SY236 @ SY237 ) )
| ( iext @ SV26 @ SY235 @ SY237 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[482]) ).
thf(488,plain,
( ( ! [SY238: $i] :
~ ~ ! [SY239: $i] :
~ ~ ! [SY240: $i] :
~ ~ ! [SY241: $i] :
~ ~ ! [SY242: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ SY238 ) )
| ~ ( iext @ uri_rdf_first @ SY238 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ SY238 @ SY239 ) )
| ~ ( iext @ uri_rdf_first @ SY239 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ SY239 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ SY240 ) )
| ~ ( iext @ uri_rdf_first @ SY240 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ SY240 @ SY241 ) )
| ~ ( iext @ uri_rdf_first @ SY241 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SY241 @ SY242 ) )
| ~ ( iext @ uri_rdf_first @ SY242 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY242 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[483]) ).
thf(489,plain,
! [SV27: $i,SV25: $i] :
( ( ( ip @ SV25 )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV25 @ SV27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[484]) ).
thf(490,plain,
! [SV25: $i,SV27: $i] :
( ( ( ip @ SV27 )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV25 @ SV27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[485]) ).
thf(491,plain,
! [SV27: $i,SV33: $i,SV32: $i,SV25: $i] :
( ( ( ~ ( iext @ SV25 @ SV32 @ SV33 ) )
= $true )
| ( ( iext @ SV27 @ SV32 @ SV33 )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV25 @ SV27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[486]) ).
thf(492,plain,
! [SV26: $i,SV31: $i,SV30: $i,SV29: $i,SV28: $i] :
( ( ( ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV28 @ SV29 )
| ~ ( iext @ uri_rdf_rest @ SV28 @ SV30 ) )
| ~ ( iext @ uri_rdf_first @ SV30 @ SV31 ) ) )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) )
| ~ ( ip @ SV31 ) )
| ~ ! [SY232: $i,SY233: $i,SY234: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY232 @ SY233 )
| ~ ( iext @ SV31 @ SY233 @ SY234 ) )
| ( iext @ SV26 @ SY232 @ SY234 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) )
| ~ ( ip @ SV31 ) )
| ~ ! [SY235: $i,SY236: $i,SY237: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY235 @ SY236 )
| ~ ( iext @ SV31 @ SY236 @ SY237 ) )
| ( iext @ SV26 @ SY235 @ SY237 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[487]) ).
thf(493,plain,
( ( ~ ~ ! [SY244: $i] :
~ ~ ! [SY245: $i] :
~ ~ ! [SY246: $i] :
~ ~ ! [SY247: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ sK26_SY238 ) )
| ~ ( iext @ uri_rdf_first @ sK26_SY238 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK26_SY238 @ SY244 ) )
| ~ ( iext @ uri_rdf_first @ SY244 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ SY244 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ SY245 ) )
| ~ ( iext @ uri_rdf_first @ SY245 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ SY245 @ SY246 ) )
| ~ ( iext @ uri_rdf_first @ SY246 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SY246 @ SY247 ) )
| ~ ( iext @ uri_rdf_first @ SY247 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY247 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[488]) ).
thf(494,plain,
! [SV27: $i,SV33: $i,SV32: $i,SV25: $i] :
( ( ( iext @ SV25 @ SV32 @ SV33 )
= $false )
| ( ( iext @ SV27 @ SV32 @ SV33 )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV25 @ SV27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[491]) ).
thf(495,plain,
! [SV26: $i,SV31: $i,SV30: $i,SV29: $i,SV28: $i] :
( ( ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV28 @ SV29 )
| ~ ( iext @ uri_rdf_rest @ SV28 @ SV30 ) )
| ~ ( iext @ uri_rdf_first @ SV30 @ SV31 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) )
| ~ ( ip @ SV31 ) )
| ~ ! [SY232: $i,SY233: $i,SY234: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY232 @ SY233 )
| ~ ( iext @ SV31 @ SY233 @ SY234 ) )
| ( iext @ SV26 @ SY232 @ SY234 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) )
| ~ ( ip @ SV31 ) )
| ~ ! [SY235: $i,SY236: $i,SY237: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY235 @ SY236 )
| ~ ( iext @ SV31 @ SY236 @ SY237 ) )
| ( iext @ SV26 @ SY235 @ SY237 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[492]) ).
thf(496,plain,
( ( ~ ! [SY244: $i] :
~ ~ ! [SY245: $i] :
~ ~ ! [SY246: $i] :
~ ~ ! [SY247: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ sK26_SY238 ) )
| ~ ( iext @ uri_rdf_first @ sK26_SY238 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK26_SY238 @ SY244 ) )
| ~ ( iext @ uri_rdf_first @ SY244 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ SY244 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ SY245 ) )
| ~ ( iext @ uri_rdf_first @ SY245 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ SY245 @ SY246 ) )
| ~ ( iext @ uri_rdf_first @ SY246 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SY246 @ SY247 ) )
| ~ ( iext @ uri_rdf_first @ SY247 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY247 @ uri_rdf_nil ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[493]) ).
thf(497,plain,
! [SV26: $i,SV31: $i,SV30: $i,SV29: $i,SV28: $i] :
( ( ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV28 @ SV29 )
| ~ ( iext @ uri_rdf_rest @ SV28 @ SV30 ) ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) )
| ~ ( ip @ SV31 ) )
| ~ ! [SY232: $i,SY233: $i,SY234: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY232 @ SY233 )
| ~ ( iext @ SV31 @ SY233 @ SY234 ) )
| ( iext @ SV26 @ SY232 @ SY234 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) )
| ~ ( ip @ SV31 ) )
| ~ ! [SY235: $i,SY236: $i,SY237: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY235 @ SY236 )
| ~ ( iext @ SV31 @ SY236 @ SY237 ) )
| ( iext @ SV26 @ SY235 @ SY237 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[495]) ).
thf(498,plain,
( ( ! [SY244: $i] :
~ ~ ! [SY245: $i] :
~ ~ ! [SY246: $i] :
~ ~ ! [SY247: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ sK26_SY238 ) )
| ~ ( iext @ uri_rdf_first @ sK26_SY238 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK26_SY238 @ SY244 ) )
| ~ ( iext @ uri_rdf_first @ SY244 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ SY244 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ SY245 ) )
| ~ ( iext @ uri_rdf_first @ SY245 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ SY245 @ SY246 ) )
| ~ ( iext @ uri_rdf_first @ SY246 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SY246 @ SY247 ) )
| ~ ( iext @ uri_rdf_first @ SY247 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY247 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[496]) ).
thf(499,plain,
! [SV26: $i,SV31: $i,SV30: $i,SV29: $i,SV28: $i] :
( ( ( ~ ( ~ ( iext @ uri_rdf_first @ SV28 @ SV29 )
| ~ ( iext @ uri_rdf_rest @ SV28 @ SV30 ) ) )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) )
| ~ ( ip @ SV31 ) )
| ~ ! [SY232: $i,SY233: $i,SY234: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY232 @ SY233 )
| ~ ( iext @ SV31 @ SY233 @ SY234 ) )
| ( iext @ SV26 @ SY232 @ SY234 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) )
| ~ ( ip @ SV31 ) )
| ~ ! [SY235: $i,SY236: $i,SY237: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY235 @ SY236 )
| ~ ( iext @ SV31 @ SY236 @ SY237 ) )
| ( iext @ SV26 @ SY235 @ SY237 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[497]) ).
thf(500,plain,
( ( ~ ~ ! [SY248: $i] :
~ ~ ! [SY249: $i] :
~ ~ ! [SY250: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ sK26_SY238 ) )
| ~ ( iext @ uri_rdf_first @ sK26_SY238 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK26_SY238 @ sK27_SY244 ) )
| ~ ( iext @ uri_rdf_first @ sK27_SY244 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK27_SY244 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ SY248 ) )
| ~ ( iext @ uri_rdf_first @ SY248 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ SY248 @ SY249 ) )
| ~ ( iext @ uri_rdf_first @ SY249 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SY249 @ SY250 ) )
| ~ ( iext @ uri_rdf_first @ SY250 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY250 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[498]) ).
thf(501,plain,
! [SV26: $i,SV31: $i,SV30: $i,SV29: $i,SV28: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV28 @ SV29 )
| ~ ( iext @ uri_rdf_rest @ SV28 @ SV30 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) )
| ~ ( ip @ SV31 ) )
| ~ ! [SY232: $i,SY233: $i,SY234: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY232 @ SY233 )
| ~ ( iext @ SV31 @ SY233 @ SY234 ) )
| ( iext @ SV26 @ SY232 @ SY234 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) )
| ~ ( ip @ SV31 ) )
| ~ ! [SY235: $i,SY236: $i,SY237: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY235 @ SY236 )
| ~ ( iext @ SV31 @ SY236 @ SY237 ) )
| ( iext @ SV26 @ SY235 @ SY237 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[499]) ).
thf(502,plain,
( ( ~ ! [SY248: $i] :
~ ~ ! [SY249: $i] :
~ ~ ! [SY250: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ sK26_SY238 ) )
| ~ ( iext @ uri_rdf_first @ sK26_SY238 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK26_SY238 @ sK27_SY244 ) )
| ~ ( iext @ uri_rdf_first @ sK27_SY244 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK27_SY244 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ SY248 ) )
| ~ ( iext @ uri_rdf_first @ SY248 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ SY248 @ SY249 ) )
| ~ ( iext @ uri_rdf_first @ SY249 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SY249 @ SY250 ) )
| ~ ( iext @ uri_rdf_first @ SY250 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY250 @ uri_rdf_nil ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[500]) ).
thf(503,plain,
! [SV26: $i,SV31: $i,SV30: $i,SV29: $i,SV28: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV28 @ SV29 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV28 @ SV30 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) )
| ~ ( ip @ SV31 ) )
| ~ ! [SY232: $i,SY233: $i,SY234: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY232 @ SY233 )
| ~ ( iext @ SV31 @ SY233 @ SY234 ) )
| ( iext @ SV26 @ SY232 @ SY234 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) )
| ~ ( ip @ SV31 ) )
| ~ ! [SY235: $i,SY236: $i,SY237: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY235 @ SY236 )
| ~ ( iext @ SV31 @ SY236 @ SY237 ) )
| ( iext @ SV26 @ SY235 @ SY237 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[501]) ).
thf(504,plain,
( ( ! [SY248: $i] :
~ ~ ! [SY249: $i] :
~ ~ ! [SY250: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ sK26_SY238 ) )
| ~ ( iext @ uri_rdf_first @ sK26_SY238 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK26_SY238 @ sK27_SY244 ) )
| ~ ( iext @ uri_rdf_first @ sK27_SY244 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK27_SY244 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ SY248 ) )
| ~ ( iext @ uri_rdf_first @ SY248 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ SY248 @ SY249 ) )
| ~ ( iext @ uri_rdf_first @ SY249 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SY249 @ SY250 ) )
| ~ ( iext @ uri_rdf_first @ SY250 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY250 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[502]) ).
thf(505,plain,
! [SV26: $i,SV31: $i,SV30: $i,SV29: $i,SV28: $i] :
( ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV28 @ SV30 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) )
| ~ ( ip @ SV31 ) )
| ~ ! [SY232: $i,SY233: $i,SY234: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY232 @ SY233 )
| ~ ( iext @ SV31 @ SY233 @ SY234 ) )
| ( iext @ SV26 @ SY232 @ SY234 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) )
| ~ ( ip @ SV31 ) )
| ~ ! [SY235: $i,SY236: $i,SY237: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY235 @ SY236 )
| ~ ( iext @ SV31 @ SY236 @ SY237 ) )
| ( iext @ SV26 @ SY235 @ SY237 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[503]) ).
thf(506,plain,
( ( ~ ~ ! [SY251: $i] :
~ ~ ! [SY252: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ sK26_SY238 ) )
| ~ ( iext @ uri_rdf_first @ sK26_SY238 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK26_SY238 @ sK27_SY244 ) )
| ~ ( iext @ uri_rdf_first @ sK27_SY244 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK27_SY244 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK28_SY248 ) )
| ~ ( iext @ uri_rdf_first @ sK28_SY248 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK28_SY248 @ SY251 ) )
| ~ ( iext @ uri_rdf_first @ SY251 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SY251 @ SY252 ) )
| ~ ( iext @ uri_rdf_first @ SY252 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY252 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[504]) ).
thf(507,plain,
! [SV26: $i,SV31: $i,SV29: $i,SV30: $i,SV28: $i] :
( ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) )
| ~ ( ip @ SV31 ) )
| ~ ! [SY232: $i,SY233: $i,SY234: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY232 @ SY233 )
| ~ ( iext @ SV31 @ SY233 @ SY234 ) )
| ( iext @ SV26 @ SY232 @ SY234 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) )
| ~ ( ip @ SV31 ) )
| ~ ! [SY235: $i,SY236: $i,SY237: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY235 @ SY236 )
| ~ ( iext @ SV31 @ SY236 @ SY237 ) )
| ( iext @ SV26 @ SY235 @ SY237 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[505]) ).
thf(508,plain,
( ( ~ ! [SY251: $i] :
~ ~ ! [SY252: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ sK26_SY238 ) )
| ~ ( iext @ uri_rdf_first @ sK26_SY238 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK26_SY238 @ sK27_SY244 ) )
| ~ ( iext @ uri_rdf_first @ sK27_SY244 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK27_SY244 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK28_SY248 ) )
| ~ ( iext @ uri_rdf_first @ sK28_SY248 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK28_SY248 @ SY251 ) )
| ~ ( iext @ uri_rdf_first @ SY251 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SY251 @ SY252 ) )
| ~ ( iext @ uri_rdf_first @ SY252 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY252 @ uri_rdf_nil ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[506]) ).
thf(509,plain,
! [SV26: $i,SV29: $i,SV28: $i,SV31: $i,SV30: $i] :
( ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) )
| ~ ( ip @ SV31 ) )
| ~ ! [SY232: $i,SY233: $i,SY234: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY232 @ SY233 )
| ~ ( iext @ SV31 @ SY233 @ SY234 ) )
| ( iext @ SV26 @ SY232 @ SY234 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) )
| ~ ( ip @ SV31 ) )
| ~ ! [SY235: $i,SY236: $i,SY237: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY235 @ SY236 )
| ~ ( iext @ SV31 @ SY236 @ SY237 ) )
| ( iext @ SV26 @ SY235 @ SY237 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[507]) ).
thf(510,plain,
( ( ! [SY251: $i] :
~ ~ ! [SY252: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ sK26_SY238 ) )
| ~ ( iext @ uri_rdf_first @ sK26_SY238 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK26_SY238 @ sK27_SY244 ) )
| ~ ( iext @ uri_rdf_first @ sK27_SY244 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK27_SY244 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK28_SY248 ) )
| ~ ( iext @ uri_rdf_first @ sK28_SY248 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK28_SY248 @ SY251 ) )
| ~ ( iext @ uri_rdf_first @ SY251 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ SY251 @ SY252 ) )
| ~ ( iext @ uri_rdf_first @ SY252 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY252 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[508]) ).
thf(511,plain,
! [SV26: $i,SV31: $i,SV29: $i,SV28: $i,SV30: $i] :
( ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) )
| ~ ( ip @ SV31 ) )
| ~ ! [SY232: $i,SY233: $i,SY234: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY232 @ SY233 )
| ~ ( iext @ SV31 @ SY233 @ SY234 ) )
| ( iext @ SV26 @ SY232 @ SY234 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) )
| ~ ( ip @ SV31 ) )
| ~ ! [SY235: $i,SY236: $i,SY237: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY235 @ SY236 )
| ~ ( iext @ SV31 @ SY236 @ SY237 ) )
| ( iext @ SV26 @ SY235 @ SY237 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[509]) ).
thf(512,plain,
( ( ~ ~ ! [SY253: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ sK26_SY238 ) )
| ~ ( iext @ uri_rdf_first @ sK26_SY238 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK26_SY238 @ sK27_SY244 ) )
| ~ ( iext @ uri_rdf_first @ sK27_SY244 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK27_SY244 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK28_SY248 ) )
| ~ ( iext @ uri_rdf_first @ sK28_SY248 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK28_SY248 @ sK29_SY251 ) )
| ~ ( iext @ uri_rdf_first @ sK29_SY251 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ sK29_SY251 @ SY253 ) )
| ~ ( iext @ uri_rdf_first @ SY253 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY253 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[510]) ).
thf(513,plain,
! [SV30: $i,SV31: $i,SV29: $i,SV28: $i,SV26: $i] :
( ( ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) )
| ~ ( ip @ SV31 ) )
| ~ ! [SY232: $i,SY233: $i,SY234: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY232 @ SY233 )
| ~ ( iext @ SV31 @ SY233 @ SY234 ) )
| ( iext @ SV26 @ SY232 @ SY234 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) )
| ~ ( ip @ SV31 ) )
| ~ ! [SY235: $i,SY236: $i,SY237: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY235 @ SY236 )
| ~ ( iext @ SV31 @ SY236 @ SY237 ) )
| ( iext @ SV26 @ SY235 @ SY237 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 ) ) )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[511]) ).
thf(514,plain,
( ( ~ ! [SY253: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ sK26_SY238 ) )
| ~ ( iext @ uri_rdf_first @ sK26_SY238 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK26_SY238 @ sK27_SY244 ) )
| ~ ( iext @ uri_rdf_first @ sK27_SY244 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK27_SY244 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK28_SY248 ) )
| ~ ( iext @ uri_rdf_first @ sK28_SY248 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK28_SY248 @ sK29_SY251 ) )
| ~ ( iext @ uri_rdf_first @ sK29_SY251 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ sK29_SY251 @ SY253 ) )
| ~ ( iext @ uri_rdf_first @ SY253 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY253 @ uri_rdf_nil ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[512]) ).
thf(515,plain,
! [SV30: $i,SV31: $i,SV29: $i,SV28: $i,SV26: $i] :
( ( ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) )
| ~ ( ip @ SV31 ) )
| ~ ! [SY232: $i,SY233: $i,SY234: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY232 @ SY233 )
| ~ ( iext @ SV31 @ SY233 @ SY234 ) )
| ( iext @ SV26 @ SY232 @ SY234 ) ) ) ) )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[513]) ).
thf(516,plain,
! [SV30: $i,SV28: $i,SV31: $i,SV29: $i,SV26: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) )
| ~ ( ip @ SV31 ) )
| ~ ! [SY235: $i,SY236: $i,SY237: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY235 @ SY236 )
| ~ ( iext @ SV31 @ SY236 @ SY237 ) )
| ( iext @ SV26 @ SY235 @ SY237 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 ) ) )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[513]) ).
thf(517,plain,
( ( ! [SY253: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ sK26_SY238 ) )
| ~ ( iext @ uri_rdf_first @ sK26_SY238 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK26_SY238 @ sK27_SY244 ) )
| ~ ( iext @ uri_rdf_first @ sK27_SY244 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK27_SY244 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK28_SY248 ) )
| ~ ( iext @ uri_rdf_first @ sK28_SY248 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK28_SY248 @ sK29_SY251 ) )
| ~ ( iext @ uri_rdf_first @ sK29_SY251 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ sK29_SY251 @ SY253 ) )
| ~ ( iext @ uri_rdf_first @ SY253 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ SY253 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[514]) ).
thf(518,plain,
! [SV30: $i,SV31: $i,SV29: $i,SV28: $i,SV26: $i] :
( ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) )
| ~ ( ip @ SV31 ) )
| ~ ! [SY232: $i,SY233: $i,SY234: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY232 @ SY233 )
| ~ ( iext @ SV31 @ SY233 @ SY234 ) )
| ( iext @ SV26 @ SY232 @ SY234 ) ) ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[515]) ).
thf(519,plain,
! [SV30: $i,SV28: $i,SV31: $i,SV29: $i,SV26: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) )
| ~ ( ip @ SV31 ) )
| ~ ! [SY235: $i,SY236: $i,SY237: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY235 @ SY236 )
| ~ ( iext @ SV31 @ SY236 @ SY237 ) )
| ( iext @ SV26 @ SY235 @ SY237 ) ) )
| ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[516]) ).
thf(520,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ sK26_SY238 ) )
| ~ ( iext @ uri_rdf_first @ sK26_SY238 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK26_SY238 @ sK27_SY244 ) )
| ~ ( iext @ uri_rdf_first @ sK27_SY244 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK27_SY244 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK28_SY248 ) )
| ~ ( iext @ uri_rdf_first @ sK28_SY248 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK28_SY248 @ sK29_SY251 ) )
| ~ ( iext @ uri_rdf_first @ sK29_SY251 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ sK29_SY251 @ sK30_SY253 ) )
| ~ ( iext @ uri_rdf_first @ sK30_SY253 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ sK30_SY253 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[517]) ).
thf(521,plain,
! [SV30: $i,SV31: $i,SV29: $i,SV28: $i,SV26: $i] :
( ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) )
| ~ ( ip @ SV31 ) )
| ~ ! [SY232: $i,SY233: $i,SY234: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY232 @ SY233 )
| ~ ( iext @ SV31 @ SY233 @ SY234 ) )
| ( iext @ SV26 @ SY232 @ SY234 ) ) ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[518]) ).
thf(522,plain,
! [SV30: $i,SV28: $i,SV31: $i,SV29: $i,SV26: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) )
| ~ ( ip @ SV31 ) )
| ~ ! [SY235: $i,SY236: $i,SY237: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY235 @ SY236 )
| ~ ( iext @ SV31 @ SY236 @ SY237 ) )
| ( iext @ SV26 @ SY235 @ SY237 ) ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
= $true )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[519]) ).
thf(523,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ sK26_SY238 ) )
| ~ ( iext @ uri_rdf_first @ sK26_SY238 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK26_SY238 @ sK27_SY244 ) )
| ~ ( iext @ uri_rdf_first @ sK27_SY244 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK27_SY244 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK28_SY248 ) )
| ~ ( iext @ uri_rdf_first @ sK28_SY248 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK28_SY248 @ sK29_SY251 ) )
| ~ ( iext @ uri_rdf_first @ sK29_SY251 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ sK29_SY251 @ sK30_SY253 ) )
| ~ ( iext @ uri_rdf_first @ sK30_SY253 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ sK30_SY253 @ uri_rdf_nil ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[520]) ).
thf(524,plain,
! [SV30: $i,SV31: $i,SV29: $i,SV28: $i,SV26: $i] :
( ( ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) )
| ~ ( ip @ SV31 ) )
| ~ ! [SY232: $i,SY233: $i,SY234: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY232 @ SY233 )
| ~ ( iext @ SV31 @ SY233 @ SY234 ) )
| ( iext @ SV26 @ SY232 @ SY234 ) ) ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[521]) ).
thf(525,plain,
! [SV30: $i,SV28: $i,SV31: $i,SV29: $i,SV26: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) )
| ~ ( ip @ SV31 ) )
| ~ ! [SY235: $i,SY236: $i,SY237: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY235 @ SY236 )
| ~ ( iext @ SV31 @ SY236 @ SY237 ) )
| ( iext @ SV26 @ SY235 @ SY237 ) ) ) )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
= $true )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[522]) ).
thf(526,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ sK26_SY238 ) )
| ~ ( iext @ uri_rdf_first @ sK26_SY238 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK26_SY238 @ sK27_SY244 ) )
| ~ ( iext @ uri_rdf_first @ sK27_SY244 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK27_SY244 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK28_SY248 ) )
| ~ ( iext @ uri_rdf_first @ sK28_SY248 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK28_SY248 @ sK29_SY251 ) )
| ~ ( iext @ uri_rdf_first @ sK29_SY251 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ sK29_SY251 @ sK30_SY253 ) )
| ~ ( iext @ uri_rdf_first @ sK30_SY253 @ uri_ex_Z ) )
| ~ ( iext @ uri_rdf_rest @ sK30_SY253 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[523]) ).
thf(527,plain,
! [SV30: $i,SV28: $i,SV31: $i,SV29: $i,SV26: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) )
| ~ ( ip @ SV31 ) )
| ~ ! [SY232: $i,SY233: $i,SY234: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY232 @ SY233 )
| ~ ( iext @ SV31 @ SY233 @ SY234 ) )
| ( iext @ SV26 @ SY232 @ SY234 ) ) )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[524]) ).
thf(528,plain,
! [SV30: $i,SV28: $i,SV31: $i,SV29: $i,SV26: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) )
| ~ ( ip @ SV31 ) )
| ~ ! [SY235: $i,SY236: $i,SY237: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY235 @ SY236 )
| ~ ( iext @ SV31 @ SY236 @ SY237 ) )
| ( iext @ SV26 @ SY235 @ SY237 ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
= $true )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[525]) ).
thf(529,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ sK26_SY238 ) )
| ~ ( iext @ uri_rdf_first @ sK26_SY238 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK26_SY238 @ sK27_SY244 ) )
| ~ ( iext @ uri_rdf_first @ sK27_SY244 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK27_SY244 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK28_SY248 ) )
| ~ ( iext @ uri_rdf_first @ sK28_SY248 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK28_SY248 @ sK29_SY251 ) )
| ~ ( iext @ uri_rdf_first @ sK29_SY251 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ sK29_SY251 @ sK30_SY253 ) )
| ~ ( iext @ uri_rdf_first @ sK30_SY253 @ uri_ex_Z ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[526]) ).
thf(530,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK30_SY253 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[526]) ).
thf(531,plain,
! [SV30: $i,SV28: $i,SV31: $i,SV29: $i,SV26: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) )
| ~ ( ip @ SV31 ) ) )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[527]) ).
thf(532,plain,
! [SV30: $i,SV28: $i,SV26: $i,SV31: $i,SV29: $i] :
( ( ( ~ ! [SY232: $i,SY233: $i,SY234: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY232 @ SY233 )
| ~ ( iext @ SV31 @ SY233 @ SY234 ) )
| ( iext @ SV26 @ SY232 @ SY234 ) ) )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[527]) ).
thf(533,plain,
! [SV30: $i,SV28: $i,SV31: $i,SV29: $i,SV26: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) )
| ~ ( ip @ SV31 ) ) )
= $true )
| ( ( ~ ! [SY235: $i,SY236: $i,SY237: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY235 @ SY236 )
| ~ ( iext @ SV31 @ SY236 @ SY237 ) )
| ( iext @ SV26 @ SY235 @ SY237 ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
= $true )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[528]) ).
thf(534,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ sK26_SY238 ) )
| ~ ( iext @ uri_rdf_first @ sK26_SY238 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK26_SY238 @ sK27_SY244 ) )
| ~ ( iext @ uri_rdf_first @ sK27_SY244 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK27_SY244 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK28_SY248 ) )
| ~ ( iext @ uri_rdf_first @ sK28_SY248 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK28_SY248 @ sK29_SY251 ) )
| ~ ( iext @ uri_rdf_first @ sK29_SY251 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ sK29_SY251 @ sK30_SY253 ) )
| ~ ( iext @ uri_rdf_first @ sK30_SY253 @ uri_ex_Z ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[529]) ).
thf(535,plain,
( ( iext @ uri_rdf_rest @ sK30_SY253 @ uri_rdf_nil )
= $true ),
inference(extcnf_not_neg,[status(thm)],[530]) ).
thf(536,plain,
! [SV30: $i,SV28: $i,SV31: $i,SV29: $i,SV26: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) )
| ~ ( ip @ SV31 ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[531]) ).
thf(537,plain,
! [SV30: $i,SV28: $i,SV26: $i,SV31: $i,SV29: $i] :
( ( ( ! [SY232: $i,SY233: $i,SY234: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY232 @ SY233 )
| ~ ( iext @ SV31 @ SY233 @ SY234 ) )
| ( iext @ SV26 @ SY232 @ SY234 ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[532]) ).
thf(538,plain,
! [SV30: $i,SV28: $i,SV31: $i,SV29: $i,SV26: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) )
| ~ ( ip @ SV31 ) ) )
= $false )
| ( ( ~ ! [SY235: $i,SY236: $i,SY237: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY235 @ SY236 )
| ~ ( iext @ SV31 @ SY236 @ SY237 ) )
| ( iext @ SV26 @ SY235 @ SY237 ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
= $true )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[533]) ).
thf(539,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ sK26_SY238 ) )
| ~ ( iext @ uri_rdf_first @ sK26_SY238 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK26_SY238 @ sK27_SY244 ) )
| ~ ( iext @ uri_rdf_first @ sK27_SY244 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK27_SY244 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK28_SY248 ) )
| ~ ( iext @ uri_rdf_first @ sK28_SY248 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK28_SY248 @ sK29_SY251 ) )
| ~ ( iext @ uri_rdf_first @ sK29_SY251 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ sK29_SY251 @ sK30_SY253 ) )
| ~ ( iext @ uri_rdf_first @ sK30_SY253 @ uri_ex_Z ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[534]) ).
thf(540,plain,
! [SV30: $i,SV28: $i,SV31: $i,SV29: $i,SV26: $i] :
( ( ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) )
| ~ ( ip @ SV31 ) )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[536]) ).
thf(541,plain,
! [SV30: $i,SV28: $i,SV26: $i,SV31: $i,SV34: $i,SV29: $i] :
( ( ( ! [SY254: $i,SY255: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SV34 @ SY254 )
| ~ ( iext @ SV31 @ SY254 @ SY255 ) )
| ( iext @ SV26 @ SV34 @ SY255 ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[537]) ).
thf(542,plain,
! [SV30: $i,SV28: $i,SV31: $i,SV29: $i,SV26: $i] :
( ( ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) )
| ~ ( ip @ SV31 ) )
= $true )
| ( ( ~ ! [SY235: $i,SY236: $i,SY237: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY235 @ SY236 )
| ~ ( iext @ SV31 @ SY236 @ SY237 ) )
| ( iext @ SV26 @ SY235 @ SY237 ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
= $true )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[538]) ).
thf(543,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ sK26_SY238 ) )
| ~ ( iext @ uri_rdf_first @ sK26_SY238 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK26_SY238 @ sK27_SY244 ) )
| ~ ( iext @ uri_rdf_first @ sK27_SY244 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK27_SY244 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK28_SY248 ) )
| ~ ( iext @ uri_rdf_first @ sK28_SY248 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK28_SY248 @ sK29_SY251 ) )
| ~ ( iext @ uri_rdf_first @ sK29_SY251 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ sK29_SY251 @ sK30_SY253 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[539]) ).
thf(544,plain,
( ( ~ ( iext @ uri_rdf_first @ sK30_SY253 @ uri_ex_Z ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[539]) ).
thf(545,plain,
! [SV31: $i,SV30: $i,SV28: $i,SV29: $i,SV26: $i] :
( ( ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) ) )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[540]) ).
thf(546,plain,
! [SV29: $i,SV30: $i,SV28: $i,SV26: $i,SV31: $i] :
( ( ( ~ ( ip @ SV31 ) )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[540]) ).
thf(547,plain,
! [SV30: $i,SV28: $i,SV26: $i,SV31: $i,SV35: $i,SV34: $i,SV29: $i] :
( ( ( ! [SY256: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SV34 @ SV35 )
| ~ ( iext @ SV31 @ SV35 @ SY256 ) )
| ( iext @ SV26 @ SV34 @ SY256 ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[541]) ).
thf(548,plain,
! [SV30: $i,SV28: $i,SV31: $i,SV29: $i,SV26: $i] :
( ( ( ~ ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) ) )
= $true )
| ( ( ~ ( ip @ SV31 ) )
= $true )
| ( ( ~ ! [SY235: $i,SY236: $i,SY237: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY235 @ SY236 )
| ~ ( iext @ SV31 @ SY236 @ SY237 ) )
| ( iext @ SV26 @ SY235 @ SY237 ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
= $true )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[542]) ).
thf(549,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ sK26_SY238 ) )
| ~ ( iext @ uri_rdf_first @ sK26_SY238 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK26_SY238 @ sK27_SY244 ) )
| ~ ( iext @ uri_rdf_first @ sK27_SY244 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK27_SY244 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK28_SY248 ) )
| ~ ( iext @ uri_rdf_first @ sK28_SY248 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK28_SY248 @ sK29_SY251 ) )
| ~ ( iext @ uri_rdf_first @ sK29_SY251 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ sK29_SY251 @ sK30_SY253 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[543]) ).
thf(550,plain,
( ( iext @ uri_rdf_first @ sK30_SY253 @ uri_ex_Z )
= $true ),
inference(extcnf_not_neg,[status(thm)],[544]) ).
thf(551,plain,
! [SV31: $i,SV30: $i,SV28: $i,SV29: $i,SV26: $i] :
( ( ( ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[545]) ).
thf(552,plain,
! [SV29: $i,SV30: $i,SV28: $i,SV26: $i,SV31: $i] :
( ( ( ip @ SV31 )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[546]) ).
thf(553,plain,
! [SV30: $i,SV28: $i,SV26: $i,SV36: $i,SV31: $i,SV35: $i,SV34: $i,SV29: $i] :
( ( ( ~ ~ ( ~ ( iext @ SV29 @ SV34 @ SV35 )
| ~ ( iext @ SV31 @ SV35 @ SV36 ) )
| ( iext @ SV26 @ SV34 @ SV36 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[547]) ).
thf(554,plain,
! [SV30: $i,SV28: $i,SV31: $i,SV29: $i,SV26: $i] :
( ( ( ~ ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) ) )
= $false )
| ( ( ~ ( ip @ SV31 ) )
= $true )
| ( ( ~ ! [SY235: $i,SY236: $i,SY237: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY235 @ SY236 )
| ~ ( iext @ SV31 @ SY236 @ SY237 ) )
| ( iext @ SV26 @ SY235 @ SY237 ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
= $true )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[548]) ).
thf(555,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ sK26_SY238 ) )
| ~ ( iext @ uri_rdf_first @ sK26_SY238 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK26_SY238 @ sK27_SY244 ) )
| ~ ( iext @ uri_rdf_first @ sK27_SY244 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK27_SY244 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK28_SY248 ) )
| ~ ( iext @ uri_rdf_first @ sK28_SY248 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK28_SY248 @ sK29_SY251 ) )
| ~ ( iext @ uri_rdf_first @ sK29_SY251 @ uri_ex_Y ) )
| ~ ( iext @ uri_rdf_rest @ sK29_SY251 @ sK30_SY253 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[549]) ).
thf(556,plain,
! [SV31: $i,SV30: $i,SV28: $i,SV29: $i,SV26: $i] :
( ( ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[551]) ).
thf(557,plain,
! [SV30: $i,SV28: $i,SV26: $i,SV36: $i,SV31: $i,SV35: $i,SV34: $i,SV29: $i] :
( ( ( ~ ~ ( ~ ( iext @ SV29 @ SV34 @ SV35 )
| ~ ( iext @ SV31 @ SV35 @ SV36 ) ) )
= $true )
| ( ( iext @ SV26 @ SV34 @ SV36 )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[553]) ).
thf(558,plain,
! [SV30: $i,SV28: $i,SV31: $i,SV29: $i,SV26: $i] :
( ( ( ~ ( ip @ SV26 )
| ~ ( ip @ SV29 ) )
= $true )
| ( ( ~ ( ip @ SV31 ) )
= $true )
| ( ( ~ ! [SY235: $i,SY236: $i,SY237: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY235 @ SY236 )
| ~ ( iext @ SV31 @ SY236 @ SY237 ) )
| ( iext @ SV26 @ SY235 @ SY237 ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
= $true )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[554]) ).
thf(559,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ sK26_SY238 ) )
| ~ ( iext @ uri_rdf_first @ sK26_SY238 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK26_SY238 @ sK27_SY244 ) )
| ~ ( iext @ uri_rdf_first @ sK27_SY244 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK27_SY244 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK28_SY248 ) )
| ~ ( iext @ uri_rdf_first @ sK28_SY248 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK28_SY248 @ sK29_SY251 ) )
| ~ ( iext @ uri_rdf_first @ sK29_SY251 @ uri_ex_Y ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[555]) ).
thf(560,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK29_SY251 @ sK30_SY253 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[555]) ).
thf(561,plain,
! [SV29: $i,SV31: $i,SV30: $i,SV28: $i,SV26: $i] :
( ( ( ~ ( ip @ SV26 ) )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[556]) ).
thf(562,plain,
! [SV31: $i,SV30: $i,SV28: $i,SV26: $i,SV29: $i] :
( ( ( ~ ( ip @ SV29 ) )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[556]) ).
thf(563,plain,
! [SV30: $i,SV28: $i,SV26: $i,SV36: $i,SV31: $i,SV35: $i,SV34: $i,SV29: $i] :
( ( ( ~ ( ~ ( iext @ SV29 @ SV34 @ SV35 )
| ~ ( iext @ SV31 @ SV35 @ SV36 ) ) )
= $false )
| ( ( iext @ SV26 @ SV34 @ SV36 )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[557]) ).
thf(564,plain,
! [SV30: $i,SV28: $i,SV31: $i,SV29: $i,SV26: $i] :
( ( ( ~ ( ip @ SV26 ) )
= $true )
| ( ( ~ ( ip @ SV29 ) )
= $true )
| ( ( ~ ( ip @ SV31 ) )
= $true )
| ( ( ~ ! [SY235: $i,SY236: $i,SY237: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY235 @ SY236 )
| ~ ( iext @ SV31 @ SY236 @ SY237 ) )
| ( iext @ SV26 @ SY235 @ SY237 ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
= $true )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[558]) ).
thf(565,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ sK26_SY238 ) )
| ~ ( iext @ uri_rdf_first @ sK26_SY238 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK26_SY238 @ sK27_SY244 ) )
| ~ ( iext @ uri_rdf_first @ sK27_SY244 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK27_SY244 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK28_SY248 ) )
| ~ ( iext @ uri_rdf_first @ sK28_SY248 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK28_SY248 @ sK29_SY251 ) )
| ~ ( iext @ uri_rdf_first @ sK29_SY251 @ uri_ex_Y ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[559]) ).
thf(566,plain,
( ( iext @ uri_rdf_rest @ sK29_SY251 @ sK30_SY253 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[560]) ).
thf(567,plain,
! [SV29: $i,SV31: $i,SV30: $i,SV28: $i,SV26: $i] :
( ( ( ip @ SV26 )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[561]) ).
thf(568,plain,
! [SV31: $i,SV30: $i,SV28: $i,SV26: $i,SV29: $i] :
( ( ( ip @ SV29 )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[562]) ).
thf(569,plain,
! [SV30: $i,SV28: $i,SV26: $i,SV36: $i,SV31: $i,SV35: $i,SV34: $i,SV29: $i] :
( ( ( ~ ( iext @ SV29 @ SV34 @ SV35 )
| ~ ( iext @ SV31 @ SV35 @ SV36 ) )
= $true )
| ( ( iext @ SV26 @ SV34 @ SV36 )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[563]) ).
thf(570,plain,
! [SV30: $i,SV28: $i,SV31: $i,SV29: $i,SV26: $i] :
( ( ( ip @ SV26 )
= $false )
| ( ( ~ ( ip @ SV29 ) )
= $true )
| ( ( ~ ( ip @ SV31 ) )
= $true )
| ( ( ~ ! [SY235: $i,SY236: $i,SY237: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY235 @ SY236 )
| ~ ( iext @ SV31 @ SY236 @ SY237 ) )
| ( iext @ SV26 @ SY235 @ SY237 ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
= $true )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[564]) ).
thf(571,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ sK26_SY238 ) )
| ~ ( iext @ uri_rdf_first @ sK26_SY238 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK26_SY238 @ sK27_SY244 ) )
| ~ ( iext @ uri_rdf_first @ sK27_SY244 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK27_SY244 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK28_SY248 ) )
| ~ ( iext @ uri_rdf_first @ sK28_SY248 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK28_SY248 @ sK29_SY251 ) )
| ~ ( iext @ uri_rdf_first @ sK29_SY251 @ uri_ex_Y ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[565]) ).
thf(572,plain,
! [SV30: $i,SV28: $i,SV26: $i,SV36: $i,SV31: $i,SV35: $i,SV34: $i,SV29: $i] :
( ( ( ~ ( iext @ SV29 @ SV34 @ SV35 ) )
= $true )
| ( ( ~ ( iext @ SV31 @ SV35 @ SV36 ) )
= $true )
| ( ( iext @ SV26 @ SV34 @ SV36 )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[569]) ).
thf(573,plain,
! [SV30: $i,SV28: $i,SV31: $i,SV26: $i,SV29: $i] :
( ( ( ip @ SV29 )
= $false )
| ( ( ip @ SV26 )
= $false )
| ( ( ~ ( ip @ SV31 ) )
= $true )
| ( ( ~ ! [SY235: $i,SY236: $i,SY237: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY235 @ SY236 )
| ~ ( iext @ SV31 @ SY236 @ SY237 ) )
| ( iext @ SV26 @ SY235 @ SY237 ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
= $true )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[570]) ).
thf(574,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ sK26_SY238 ) )
| ~ ( iext @ uri_rdf_first @ sK26_SY238 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK26_SY238 @ sK27_SY244 ) )
| ~ ( iext @ uri_rdf_first @ sK27_SY244 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK27_SY244 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK28_SY248 ) )
| ~ ( iext @ uri_rdf_first @ sK28_SY248 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK28_SY248 @ sK29_SY251 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[571]) ).
thf(575,plain,
( ( ~ ( iext @ uri_rdf_first @ sK29_SY251 @ uri_ex_Y ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[571]) ).
thf(576,plain,
! [SV30: $i,SV28: $i,SV26: $i,SV36: $i,SV31: $i,SV35: $i,SV34: $i,SV29: $i] :
( ( ( iext @ SV29 @ SV34 @ SV35 )
= $false )
| ( ( ~ ( iext @ SV31 @ SV35 @ SV36 ) )
= $true )
| ( ( iext @ SV26 @ SV34 @ SV36 )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[572]) ).
thf(577,plain,
! [SV30: $i,SV28: $i,SV29: $i,SV26: $i,SV31: $i] :
( ( ( ip @ SV31 )
= $false )
| ( ( ip @ SV26 )
= $false )
| ( ( ip @ SV29 )
= $false )
| ( ( ~ ! [SY235: $i,SY236: $i,SY237: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY235 @ SY236 )
| ~ ( iext @ SV31 @ SY236 @ SY237 ) )
| ( iext @ SV26 @ SY235 @ SY237 ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
= $true )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[573]) ).
thf(578,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ sK26_SY238 ) )
| ~ ( iext @ uri_rdf_first @ sK26_SY238 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK26_SY238 @ sK27_SY244 ) )
| ~ ( iext @ uri_rdf_first @ sK27_SY244 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK27_SY244 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK28_SY248 ) )
| ~ ( iext @ uri_rdf_first @ sK28_SY248 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK28_SY248 @ sK29_SY251 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[574]) ).
thf(579,plain,
( ( iext @ uri_rdf_first @ sK29_SY251 @ uri_ex_Y )
= $true ),
inference(extcnf_not_neg,[status(thm)],[575]) ).
thf(580,plain,
! [SV30: $i,SV28: $i,SV26: $i,SV34: $i,SV29: $i,SV36: $i,SV35: $i,SV31: $i] :
( ( ( iext @ SV31 @ SV35 @ SV36 )
= $false )
| ( ( iext @ SV29 @ SV34 @ SV35 )
= $false )
| ( ( iext @ SV26 @ SV34 @ SV36 )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[576]) ).
thf(581,plain,
! [SV30: $i,SV28: $i,SV26: $i,SV31: $i,SV29: $i] :
( ( ( ! [SY235: $i,SY236: $i,SY237: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ SY235 @ SY236 )
| ~ ( iext @ SV31 @ SY236 @ SY237 ) )
| ( iext @ SV26 @ SY235 @ SY237 ) ) )
= $false )
| ( ( ip @ SV29 )
= $false )
| ( ( ip @ SV26 )
= $false )
| ( ( ip @ SV31 )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
= $true )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[577]) ).
thf(582,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ sK26_SY238 ) )
| ~ ( iext @ uri_rdf_first @ sK26_SY238 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK26_SY238 @ sK27_SY244 ) )
| ~ ( iext @ uri_rdf_first @ sK27_SY244 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK27_SY244 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK28_SY248 ) )
| ~ ( iext @ uri_rdf_first @ sK28_SY248 @ uri_ex_X ) )
| ~ ( iext @ uri_rdf_rest @ sK28_SY248 @ sK29_SY251 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[578]) ).
thf(583,plain,
! [SV31: $i,SV26: $i,SV28: $i,SV30: $i,SV29: $i] :
( ( ( ! [SY257: $i,SY258: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ ( sK31_SY235 @ SV30 @ SV28 @ SV26 @ SV31 @ SV29 ) @ SY257 )
| ~ ( iext @ SV31 @ SY257 @ SY258 ) )
| ( iext @ SV26 @ ( sK31_SY235 @ SV30 @ SV28 @ SV26 @ SV31 @ SV29 ) @ SY258 ) ) )
= $false )
| ( ( ip @ SV29 )
= $false )
| ( ( ip @ SV26 )
= $false )
| ( ( ip @ SV31 )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
= $true )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[581]) ).
thf(584,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ sK26_SY238 ) )
| ~ ( iext @ uri_rdf_first @ sK26_SY238 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK26_SY238 @ sK27_SY244 ) )
| ~ ( iext @ uri_rdf_first @ sK27_SY244 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK27_SY244 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK28_SY248 ) )
| ~ ( iext @ uri_rdf_first @ sK28_SY248 @ uri_ex_X ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[582]) ).
thf(585,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK28_SY248 @ sK29_SY251 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[582]) ).
thf(586,plain,
! [SV31: $i,SV26: $i,SV28: $i,SV30: $i,SV29: $i] :
( ( ( ! [SY259: $i] :
( ~ ~ ( ~ ( iext @ SV29 @ ( sK31_SY235 @ SV30 @ SV28 @ SV26 @ SV31 @ SV29 ) @ ( sK32_SY257 @ SV31 @ SV26 @ SV28 @ SV30 @ SV29 ) )
| ~ ( iext @ SV31 @ ( sK32_SY257 @ SV31 @ SV26 @ SV28 @ SV30 @ SV29 ) @ SY259 ) )
| ( iext @ SV26 @ ( sK31_SY235 @ SV30 @ SV28 @ SV26 @ SV31 @ SV29 ) @ SY259 ) ) )
= $false )
| ( ( ip @ SV29 )
= $false )
| ( ( ip @ SV26 )
= $false )
| ( ( ip @ SV31 )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
= $true )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[583]) ).
thf(587,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ sK26_SY238 ) )
| ~ ( iext @ uri_rdf_first @ sK26_SY238 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK26_SY238 @ sK27_SY244 ) )
| ~ ( iext @ uri_rdf_first @ sK27_SY244 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK27_SY244 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK28_SY248 ) )
| ~ ( iext @ uri_rdf_first @ sK28_SY248 @ uri_ex_X ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[584]) ).
thf(588,plain,
( ( iext @ uri_rdf_rest @ sK28_SY248 @ sK29_SY251 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[585]) ).
thf(589,plain,
! [SV31: $i,SV26: $i,SV28: $i,SV30: $i,SV29: $i] :
( ( ( ~ ~ ( ~ ( iext @ SV29 @ ( sK31_SY235 @ SV30 @ SV28 @ SV26 @ SV31 @ SV29 ) @ ( sK32_SY257 @ SV31 @ SV26 @ SV28 @ SV30 @ SV29 ) )
| ~ ( iext @ SV31 @ ( sK32_SY257 @ SV31 @ SV26 @ SV28 @ SV30 @ SV29 ) @ ( sK33_SY259 @ SV31 @ SV26 @ SV28 @ SV30 @ SV29 ) ) )
| ( iext @ SV26 @ ( sK31_SY235 @ SV30 @ SV28 @ SV26 @ SV31 @ SV29 ) @ ( sK33_SY259 @ SV31 @ SV26 @ SV28 @ SV30 @ SV29 ) ) )
= $false )
| ( ( ip @ SV29 )
= $false )
| ( ( ip @ SV26 )
= $false )
| ( ( ip @ SV31 )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
= $true )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[586]) ).
thf(590,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ sK26_SY238 ) )
| ~ ( iext @ uri_rdf_first @ sK26_SY238 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK26_SY238 @ sK27_SY244 ) )
| ~ ( iext @ uri_rdf_first @ sK27_SY244 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK27_SY244 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK28_SY248 ) )
| ~ ( iext @ uri_rdf_first @ sK28_SY248 @ uri_ex_X ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[587]) ).
thf(591,plain,
! [SV31: $i,SV26: $i,SV28: $i,SV30: $i,SV29: $i] :
( ( ( ~ ~ ( ~ ( iext @ SV29 @ ( sK31_SY235 @ SV30 @ SV28 @ SV26 @ SV31 @ SV29 ) @ ( sK32_SY257 @ SV31 @ SV26 @ SV28 @ SV30 @ SV29 ) )
| ~ ( iext @ SV31 @ ( sK32_SY257 @ SV31 @ SV26 @ SV28 @ SV30 @ SV29 ) @ ( sK33_SY259 @ SV31 @ SV26 @ SV28 @ SV30 @ SV29 ) ) ) )
= $false )
| ( ( ip @ SV29 )
= $false )
| ( ( ip @ SV26 )
= $false )
| ( ( ip @ SV31 )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
= $true )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[589]) ).
thf(592,plain,
! [SV29: $i,SV31: $i,SV28: $i,SV30: $i,SV26: $i] :
( ( ( iext @ SV26 @ ( sK31_SY235 @ SV30 @ SV28 @ SV26 @ SV31 @ SV29 ) @ ( sK33_SY259 @ SV31 @ SV26 @ SV28 @ SV30 @ SV29 ) )
= $false )
| ( ( ip @ SV29 )
= $false )
| ( ( ip @ SV26 )
= $false )
| ( ( ip @ SV31 )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
= $true )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[589]) ).
thf(593,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ sK26_SY238 ) )
| ~ ( iext @ uri_rdf_first @ sK26_SY238 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK26_SY238 @ sK27_SY244 ) )
| ~ ( iext @ uri_rdf_first @ sK27_SY244 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK27_SY244 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK28_SY248 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[590]) ).
thf(594,plain,
( ( ~ ( iext @ uri_rdf_first @ sK28_SY248 @ uri_ex_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[590]) ).
thf(595,plain,
! [SV31: $i,SV26: $i,SV28: $i,SV30: $i,SV29: $i] :
( ( ( ~ ( ~ ( iext @ SV29 @ ( sK31_SY235 @ SV30 @ SV28 @ SV26 @ SV31 @ SV29 ) @ ( sK32_SY257 @ SV31 @ SV26 @ SV28 @ SV30 @ SV29 ) )
| ~ ( iext @ SV31 @ ( sK32_SY257 @ SV31 @ SV26 @ SV28 @ SV30 @ SV29 ) @ ( sK33_SY259 @ SV31 @ SV26 @ SV28 @ SV30 @ SV29 ) ) ) )
= $true )
| ( ( ip @ SV29 )
= $false )
| ( ( ip @ SV26 )
= $false )
| ( ( ip @ SV31 )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
= $true )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[591]) ).
thf(596,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ sK26_SY238 ) )
| ~ ( iext @ uri_rdf_first @ sK26_SY238 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK26_SY238 @ sK27_SY244 ) )
| ~ ( iext @ uri_rdf_first @ sK27_SY244 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK27_SY244 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK28_SY248 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[593]) ).
thf(597,plain,
( ( iext @ uri_rdf_first @ sK28_SY248 @ uri_ex_X )
= $true ),
inference(extcnf_not_neg,[status(thm)],[594]) ).
thf(598,plain,
! [SV31: $i,SV26: $i,SV28: $i,SV30: $i,SV29: $i] :
( ( ( ~ ( iext @ SV29 @ ( sK31_SY235 @ SV30 @ SV28 @ SV26 @ SV31 @ SV29 ) @ ( sK32_SY257 @ SV31 @ SV26 @ SV28 @ SV30 @ SV29 ) )
| ~ ( iext @ SV31 @ ( sK32_SY257 @ SV31 @ SV26 @ SV28 @ SV30 @ SV29 ) @ ( sK33_SY259 @ SV31 @ SV26 @ SV28 @ SV30 @ SV29 ) ) )
= $false )
| ( ( ip @ SV29 )
= $false )
| ( ( ip @ SV26 )
= $false )
| ( ( ip @ SV31 )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
= $true )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[595]) ).
thf(599,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ sK26_SY238 ) )
| ~ ( iext @ uri_rdf_first @ sK26_SY238 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK26_SY238 @ sK27_SY244 ) )
| ~ ( iext @ uri_rdf_first @ sK27_SY244 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK27_SY244 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
| ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK28_SY248 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[596]) ).
thf(600,plain,
! [SV31: $i,SV26: $i,SV28: $i,SV30: $i,SV29: $i] :
( ( ( ~ ( iext @ SV29 @ ( sK31_SY235 @ SV30 @ SV28 @ SV26 @ SV31 @ SV29 ) @ ( sK32_SY257 @ SV31 @ SV26 @ SV28 @ SV30 @ SV29 ) ) )
= $false )
| ( ( ip @ SV29 )
= $false )
| ( ( ip @ SV26 )
= $false )
| ( ( ip @ SV31 )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
= $true )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[598]) ).
thf(601,plain,
! [SV29: $i,SV30: $i,SV28: $i,SV26: $i,SV31: $i] :
( ( ( ~ ( iext @ SV31 @ ( sK32_SY257 @ SV31 @ SV26 @ SV28 @ SV30 @ SV29 ) @ ( sK33_SY259 @ SV31 @ SV26 @ SV28 @ SV30 @ SV29 ) ) )
= $false )
| ( ( ip @ SV29 )
= $false )
| ( ( ip @ SV26 )
= $false )
| ( ( ip @ SV31 )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
= $true )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[598]) ).
thf(602,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ sK26_SY238 ) )
| ~ ( iext @ uri_rdf_first @ sK26_SY238 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK26_SY238 @ sK27_SY244 ) )
| ~ ( iext @ uri_rdf_first @ sK27_SY244 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK27_SY244 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[599]) ).
thf(603,plain,
( ( ~ ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK28_SY248 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[599]) ).
thf(604,plain,
! [SV31: $i,SV26: $i,SV28: $i,SV30: $i,SV29: $i] :
( ( ( iext @ SV29 @ ( sK31_SY235 @ SV30 @ SV28 @ SV26 @ SV31 @ SV29 ) @ ( sK32_SY257 @ SV31 @ SV26 @ SV28 @ SV30 @ SV29 ) )
= $true )
| ( ( ip @ SV29 )
= $false )
| ( ( ip @ SV26 )
= $false )
| ( ( ip @ SV31 )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
= $true )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[600]) ).
thf(605,plain,
! [SV29: $i,SV30: $i,SV28: $i,SV26: $i,SV31: $i] :
( ( ( iext @ SV31 @ ( sK32_SY257 @ SV31 @ SV26 @ SV28 @ SV30 @ SV29 ) @ ( sK33_SY259 @ SV31 @ SV26 @ SV28 @ SV30 @ SV29 ) )
= $true )
| ( ( ip @ SV29 )
= $false )
| ( ( ip @ SV26 )
= $false )
| ( ( ip @ SV31 )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV26 @ SV28 )
= $true )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[601]) ).
thf(606,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ sK26_SY238 ) )
| ~ ( iext @ uri_rdf_first @ sK26_SY238 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK26_SY238 @ sK27_SY244 ) )
| ~ ( iext @ uri_rdf_first @ sK27_SY244 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK27_SY244 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[602]) ).
thf(607,plain,
( ( iext @ uri_skos_memberList @ uri_ex_MyOrderedCollection @ sK28_SY248 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[603]) ).
thf(608,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ sK26_SY238 ) )
| ~ ( iext @ uri_rdf_first @ sK26_SY238 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK26_SY238 @ sK27_SY244 ) )
| ~ ( iext @ uri_rdf_first @ sK27_SY244 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK27_SY244 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[606]) ).
thf(609,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ sK26_SY238 ) )
| ~ ( iext @ uri_rdf_first @ sK26_SY238 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK26_SY238 @ sK27_SY244 ) )
| ~ ( iext @ uri_rdf_first @ sK27_SY244 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK27_SY244 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[608]) ).
thf(610,plain,
( ( ~ ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[608]) ).
thf(611,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ sK26_SY238 ) )
| ~ ( iext @ uri_rdf_first @ sK26_SY238 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK26_SY238 @ sK27_SY244 ) )
| ~ ( iext @ uri_rdf_first @ sK27_SY244 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK27_SY244 @ uri_rdf_nil ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[609]) ).
thf(612,plain,
( ( iext @ uri_rdf_type @ uri_ex_MyOrderedCollection @ uri_skos_OrderedCollection )
= $true ),
inference(extcnf_not_neg,[status(thm)],[610]) ).
thf(613,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ sK26_SY238 ) )
| ~ ( iext @ uri_rdf_first @ sK26_SY238 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK26_SY238 @ sK27_SY244 ) )
| ~ ( iext @ uri_rdf_first @ sK27_SY244 @ uri_rdf_rest ) )
| ~ ( iext @ uri_rdf_rest @ sK27_SY244 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[611]) ).
thf(614,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ sK26_SY238 ) )
| ~ ( iext @ uri_rdf_first @ sK26_SY238 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK26_SY238 @ sK27_SY244 ) )
| ~ ( iext @ uri_rdf_first @ sK27_SY244 @ uri_rdf_rest ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[613]) ).
thf(615,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK27_SY244 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[613]) ).
thf(616,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ sK26_SY238 ) )
| ~ ( iext @ uri_rdf_first @ sK26_SY238 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK26_SY238 @ sK27_SY244 ) )
| ~ ( iext @ uri_rdf_first @ sK27_SY244 @ uri_rdf_rest ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[614]) ).
thf(617,plain,
( ( iext @ uri_rdf_rest @ sK27_SY244 @ uri_rdf_nil )
= $true ),
inference(extcnf_not_neg,[status(thm)],[615]) ).
thf(618,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ sK26_SY238 ) )
| ~ ( iext @ uri_rdf_first @ sK26_SY238 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK26_SY238 @ sK27_SY244 ) )
| ~ ( iext @ uri_rdf_first @ sK27_SY244 @ uri_rdf_rest ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[616]) ).
thf(619,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ sK26_SY238 ) )
| ~ ( iext @ uri_rdf_first @ sK26_SY238 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK26_SY238 @ sK27_SY244 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[618]) ).
thf(620,plain,
( ( ~ ( iext @ uri_rdf_first @ sK27_SY244 @ uri_rdf_rest ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[618]) ).
thf(621,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ sK26_SY238 ) )
| ~ ( iext @ uri_rdf_first @ sK26_SY238 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK26_SY238 @ sK27_SY244 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[619]) ).
thf(622,plain,
( ( iext @ uri_rdf_first @ sK27_SY244 @ uri_rdf_rest )
= $true ),
inference(extcnf_not_neg,[status(thm)],[620]) ).
thf(623,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ sK26_SY238 ) )
| ~ ( iext @ uri_rdf_first @ sK26_SY238 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK26_SY238 @ sK27_SY244 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[621]) ).
thf(624,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ sK26_SY238 ) )
| ~ ( iext @ uri_rdf_first @ sK26_SY238 @ sK23_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[623]) ).
thf(625,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK26_SY238 @ sK27_SY244 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[623]) ).
thf(626,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ sK26_SY238 ) )
| ~ ( iext @ uri_rdf_first @ sK26_SY238 @ sK23_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[624]) ).
thf(627,plain,
( ( iext @ uri_rdf_rest @ sK26_SY238 @ sK27_SY244 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[625]) ).
thf(628,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ sK26_SY238 ) )
| ~ ( iext @ uri_rdf_first @ sK26_SY238 @ sK23_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[626]) ).
thf(629,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ sK26_SY238 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[628]) ).
thf(630,plain,
( ( ~ ( iext @ uri_rdf_first @ sK26_SY238 @ sK23_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[628]) ).
thf(631,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ sK26_SY238 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[629]) ).
thf(632,plain,
( ( iext @ uri_rdf_first @ sK26_SY238 @ sK23_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[630]) ).
thf(633,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ sK26_SY238 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[631]) ).
thf(634,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[633]) ).
thf(635,plain,
( ( ~ ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ sK26_SY238 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[633]) ).
thf(636,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[634]) ).
thf(637,plain,
( ( iext @ uri_owl_propertyChainAxiom @ sK23_SX0 @ sK26_SY238 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[635]) ).
thf(638,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
| ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[636]) ).
thf(639,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[638]) ).
thf(640,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[638]) ).
thf(641,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[639]) ).
thf(642,plain,
( ( iext @ uri_rdf_rest @ sK25_SY226 @ uri_rdf_nil )
= $true ),
inference(extcnf_not_neg,[status(thm)],[640]) ).
thf(643,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
| ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[641]) ).
thf(644,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[643]) ).
thf(645,plain,
( ( ~ ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[643]) ).
thf(646,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[644]) ).
thf(647,plain,
( ( iext @ uri_rdf_first @ sK25_SY226 @ uri_rdf_first )
= $true ),
inference(extcnf_not_neg,[status(thm)],[645]) ).
thf(648,plain,
( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
| ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[646]) ).
thf(649,plain,
( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[648]) ).
thf(650,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[648]) ).
thf(651,plain,
( ( ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[649]) ).
thf(652,plain,
( ( iext @ uri_rdf_rest @ sK24_SY193 @ sK25_SY226 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[650]) ).
thf(653,plain,
( ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
| ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[651]) ).
thf(654,plain,
( ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[653]) ).
thf(655,plain,
( ( ~ ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[653]) ).
thf(656,plain,
( ( ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[654]) ).
thf(657,plain,
( ( iext @ uri_rdf_first @ sK24_SY193 @ sK23_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[655]) ).
thf(658,plain,
( ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[656]) ).
thf(659,plain,
( ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[658]) ).
thf(660,plain,
( ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[658]) ).
thf(661,plain,
( ( iext @ uri_rdfs_subPropertyOf @ uri_skos_memberList @ sK23_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[659]) ).
thf(662,plain,
( ( iext @ uri_owl_propertyChainAxiom @ uri_skos_member @ sK24_SY193 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[660]) ).
thf(663,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[455,662,661,657,652,647,642,637,632,627,622,617,612,607,605,604,597,592,588,580,579,568,567,566,552,550,535,494,490,489]) ).
thf(664,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[663,231,447]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB022+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/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.18 % Computer : n004.cluster.edu
% 0.06/0.18 % Model : x86_64 x86_64
% 0.06/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18 % Memory : 8046.5625MB
% 0.06/0.18 % OS : Linux 6.8.0-71-generic
% 0.06/0.18 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Tue Oct 6 15:52:39 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.97/0.80
% 2.97/0.80 No.of.Axioms: 3
% 2.97/0.80
% 2.97/0.80 Length.of.Defs: 0
% 2.97/0.80
% 2.97/0.80 Contains.Choice.Funs: false
% 2.97/0.80 .....................................
% 2.97/0.80
% 2.97/0.80 ********************************
% 2.97/0.80 * All subproblems solved! *
% 2.97/0.80 ********************************
% 2.97/0.80 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:3,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:663,loop_count:0,foatp_calls:1,translation:fof_full)
% 2.97/0.80
% 2.97/0.80 %**** Beginning of derivation protocol ****
% 2.97/0.80 % SZS output start CNFRefutation
% See solution above
% 2.97/0.81
% 2.97/0.81 %**** End of derivation protocol ****
% 2.97/0.81 %**** no. of clauses in derivation: 664 ****
% 2.97/0.81 %**** clause counter: 663 ****
% 2.97/0.81
% 2.97/0.81 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:3,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:663,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------