TSTP Solution File: SWB026+2 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SWB026+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 19:13:33 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : CNFRefutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 32
% Syntax : Number of formulae : 228 ( 117 unt; 24 typ; 0 def)
% Number of atoms : 1715 ( 518 equ; 0 cnn)
% Maximal formula atoms : 8 ( 8 avg)
% Number of connectives : 3920 ( 823 ~; 655 |; 58 &;2368 @)
% ( 10 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 13 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 24 usr; 18 con; 0-3 aty)
% Number of variables : 501 ( 0 ^ 493 !; 8 ?; 501 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_ic,type,
ic: $i > $o ).
thf(tp_icext,type,
icext: $i > $i > $o ).
thf(tp_iext,type,
iext: $i > $i > $i > $o ).
thf(tp_ip,type,
ip: $i > $o ).
thf(tp_sK1_BNODE_x1,type,
sK1_BNODE_x1: $i ).
thf(tp_sK2_SY19,type,
sK2_SY19: $i ).
thf(tp_sK3_SY22,type,
sK3_SY22: $i ).
thf(tp_sK4_SY24,type,
sK4_SY24: $i ).
thf(tp_sK5_X1,type,
sK5_X1: $i > $i ).
thf(tp_sK6_SY25,type,
sK6_SY25: $i > $i ).
thf(tp_sK7_SY27,type,
sK7_SY27: $i > $i ).
thf(tp_sK8_X,type,
sK8_X: $i > $i > $i > $i ).
thf(tp_uri_ex_p,type,
uri_ex_p: $i ).
thf(tp_uri_ex_u,type,
uri_ex_u: $i ).
thf(tp_uri_ex_w,type,
uri_ex_w: $i ).
thf(tp_uri_owl_InverseFunctionalProperty,type,
uri_owl_InverseFunctionalProperty: $i ).
thf(tp_uri_owl_oneOf,type,
uri_owl_oneOf: $i ).
thf(tp_uri_rdf_Property,type,
uri_rdf_Property: $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_domain,type,
uri_rdfs_domain: $i ).
thf(tp_uri_rdfs_range,type,
uri_rdfs_range: $i ).
thf(1,axiom,
? [BNODE_x1: $i,BNODE_x2: $i,BNODE_l1: $i,BNODE_l2: $i] :
( ( iext @ uri_rdfs_domain @ uri_ex_p @ BNODE_x1 )
& ( iext @ uri_owl_oneOf @ BNODE_x1 @ BNODE_l1 )
& ( iext @ uri_rdf_first @ BNODE_l1 @ uri_ex_w )
& ( iext @ uri_rdf_rest @ BNODE_l1 @ uri_rdf_nil )
& ( iext @ uri_rdfs_range @ uri_ex_p @ BNODE_x2 )
& ( iext @ uri_owl_oneOf @ BNODE_x2 @ BNODE_l2 )
& ( iext @ uri_rdf_first @ BNODE_l2 @ uri_ex_u )
& ( iext @ uri_rdf_rest @ BNODE_l2 @ uri_rdf_nil ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_026_Inferred_Property_Characteristics_I) ).
thf(2,axiom,
! [P: $i] :
( ( icext @ uri_owl_InverseFunctionalProperty @ P )
<=> ( ( ip @ P )
& ! [X1: $i,X2: $i,Y: $i] :
( ( ( iext @ P @ X1 @ Y )
& ( iext @ P @ X2 @ Y ) )
=> ( X1 = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_inversefunctional) ).
thf(3,axiom,
! [Z: $i,S1: $i,A1: $i] :
( ( ( iext @ uri_rdf_first @ S1 @ A1 )
& ( iext @ uri_rdf_rest @ S1 @ uri_rdf_nil ) )
=> ( ( iext @ uri_owl_oneOf @ Z @ S1 )
<=> ( ( ic @ Z )
& ! [X: $i] :
( ( icext @ Z @ X )
<=> ( X = A1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_enum_class_001) ).
thf(4,axiom,
iext @ uri_rdfs_domain @ uri_rdfs_domain @ uri_rdf_Property,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_domain_domain) ).
thf(5,axiom,
! [P: $i,C: $i,X: $i,Y: $i] :
( ( ( iext @ uri_rdfs_domain @ P @ C )
& ( iext @ P @ X @ Y ) )
=> ( icext @ C @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_domain_main) ).
thf(6,axiom,
! [X: $i,C: $i] :
( ( iext @ uri_rdf_type @ X @ C )
<=> ( icext @ C @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).
thf(7,axiom,
! [P: $i] :
( ( iext @ uri_rdf_type @ P @ uri_rdf_Property )
<=> ( ip @ P ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdf_type_ip) ).
thf(8,conjecture,
iext @ uri_rdf_type @ uri_ex_p @ uri_owl_InverseFunctionalProperty,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_026_Inferred_Property_Characteristics_I) ).
thf(9,negated_conjecture,
( ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_InverseFunctionalProperty )
= $false ),
inference(negate_conjecture,[status(cth)],[8]) ).
thf(10,plain,
( ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_InverseFunctionalProperty )
= $false ),
inference(unfold_def,[status(thm)],[9]) ).
thf(11,plain,
( ( ? [BNODE_x1: $i,BNODE_x2: $i,BNODE_l1: $i,BNODE_l2: $i] :
( ( iext @ uri_rdfs_domain @ uri_ex_p @ BNODE_x1 )
& ( iext @ uri_owl_oneOf @ BNODE_x1 @ BNODE_l1 )
& ( iext @ uri_rdf_first @ BNODE_l1 @ uri_ex_w )
& ( iext @ uri_rdf_rest @ BNODE_l1 @ uri_rdf_nil )
& ( iext @ uri_rdfs_range @ uri_ex_p @ BNODE_x2 )
& ( iext @ uri_owl_oneOf @ BNODE_x2 @ BNODE_l2 )
& ( iext @ uri_rdf_first @ BNODE_l2 @ uri_ex_u )
& ( iext @ uri_rdf_rest @ BNODE_l2 @ uri_rdf_nil ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(12,plain,
( ( ! [P: $i] :
( ( icext @ uri_owl_InverseFunctionalProperty @ P )
<=> ( ( ip @ P )
& ! [X1: $i,X2: $i,Y: $i] :
( ( ( iext @ P @ X1 @ Y )
& ( iext @ P @ X2 @ Y ) )
=> ( X1 = X2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(13,plain,
( ( ! [Z: $i,S1: $i,A1: $i] :
( ( ( iext @ uri_rdf_first @ S1 @ A1 )
& ( iext @ uri_rdf_rest @ S1 @ uri_rdf_nil ) )
=> ( ( iext @ uri_owl_oneOf @ Z @ S1 )
<=> ( ( ic @ Z )
& ! [X: $i] :
( ( icext @ Z @ X )
<=> ( X = A1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(14,plain,
( ( iext @ uri_rdfs_domain @ uri_rdfs_domain @ uri_rdf_Property )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(15,plain,
( ( ! [P: $i,C: $i,X: $i,Y: $i] :
( ( ( iext @ uri_rdfs_domain @ P @ C )
& ( iext @ P @ X @ Y ) )
=> ( icext @ C @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(16,plain,
( ( ! [X: $i,C: $i] :
( ( iext @ uri_rdf_type @ X @ C )
<=> ( icext @ C @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(17,plain,
( ( ! [P: $i] :
( ( iext @ uri_rdf_type @ P @ uri_rdf_Property )
<=> ( ip @ P ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(18,plain,
( ( ~ ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_InverseFunctionalProperty ) )
= $true ),
inference(polarity_switch,[status(thm)],[10]) ).
thf(19,plain,
( ( ( iext @ uri_rdfs_domain @ uri_ex_p @ sK1_BNODE_x1 )
& ( iext @ uri_owl_oneOf @ sK1_BNODE_x1 @ sK3_SY22 )
& ( iext @ uri_rdf_first @ sK3_SY22 @ uri_ex_w )
& ( iext @ uri_rdf_rest @ sK3_SY22 @ uri_rdf_nil )
& ( iext @ uri_rdfs_range @ uri_ex_p @ sK2_SY19 )
& ( iext @ uri_owl_oneOf @ sK2_SY19 @ sK4_SY24 )
& ( iext @ uri_rdf_first @ sK4_SY24 @ uri_ex_u )
& ( iext @ uri_rdf_rest @ sK4_SY24 @ uri_rdf_nil ) )
= $true ),
inference(extcnf_combined,[status(esa)],[11]) ).
thf(20,plain,
( ( ! [P: $i] :
( ( ( iext @ P @ ( sK5_X1 @ P ) @ ( sK7_SY27 @ P ) )
& ( iext @ P @ ( sK6_SY25 @ P ) @ ( sK7_SY27 @ P ) )
& ( ( sK5_X1 @ P )
!= ( sK6_SY25 @ P ) ) )
| ~ ( ip @ P )
| ( icext @ uri_owl_InverseFunctionalProperty @ P ) )
& ! [P: $i] :
( ~ ( icext @ uri_owl_InverseFunctionalProperty @ P )
| ! [X1: $i,X2: $i] :
( ! [Y: $i] :
( ~ ( iext @ P @ X1 @ Y )
| ~ ( iext @ P @ X2 @ Y ) )
| ( X1 = X2 ) ) )
& ! [P: $i] :
( ~ ( icext @ uri_owl_InverseFunctionalProperty @ P )
| ( ip @ P ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[12]) ).
thf(21,plain,
( ( ! [Z: $i] :
( ! [S1: $i,A1: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ A1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ uri_rdf_nil )
| ( ( ( ( sK8_X @ A1 @ S1 @ Z )
!= A1 )
| ~ ( icext @ Z @ ( sK8_X @ A1 @ S1 @ Z ) ) )
& ( ( ( sK8_X @ A1 @ S1 @ Z )
= A1 )
| ( icext @ Z @ ( sK8_X @ A1 @ S1 @ Z ) ) ) )
| ~ ( ic @ Z )
| ( iext @ uri_owl_oneOf @ Z @ S1 ) )
& ! [S1: $i,A1: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ A1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ Z @ S1 )
| ( ! [X: $i] :
( ( X != A1 )
| ( icext @ Z @ X ) )
& ! [X: $i] :
( ~ ( icext @ Z @ X )
| ( X = A1 ) ) ) )
& ! [S1: $i] :
( ! [A1: $i] :
~ ( iext @ uri_rdf_first @ S1 @ A1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ Z @ S1 )
| ( ic @ Z ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[13]) ).
thf(22,plain,
( ( ! [P: $i,C: $i,X: $i] :
( ~ ( iext @ uri_rdfs_domain @ P @ C )
| ! [Y: $i] :
~ ( iext @ P @ X @ Y )
| ( icext @ C @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[15]) ).
thf(23,plain,
( ( ! [X: $i,C: $i] :
( ~ ( icext @ C @ X )
| ( iext @ uri_rdf_type @ X @ C ) )
& ! [X: $i,C: $i] :
( ~ ( iext @ uri_rdf_type @ X @ C )
| ( icext @ C @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[16]) ).
thf(24,plain,
( ( ! [P: $i] :
( ~ ( iext @ uri_rdf_type @ P @ uri_rdf_Property )
| ( ip @ P ) )
& ! [P: $i] :
( ~ ( ip @ P )
| ( iext @ uri_rdf_type @ P @ uri_rdf_Property ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[17]) ).
thf(25,plain,
( ( ! [P: $i] :
( ~ ( iext @ uri_rdf_type @ P @ uri_rdf_Property )
| ( ip @ P ) )
& ! [P: $i] :
( ~ ( ip @ P )
| ( iext @ uri_rdf_type @ P @ uri_rdf_Property ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(26,plain,
( ( ! [X: $i,C: $i] :
( ~ ( icext @ C @ X )
| ( iext @ uri_rdf_type @ X @ C ) )
& ! [X: $i,C: $i] :
( ~ ( iext @ uri_rdf_type @ X @ C )
| ( icext @ C @ X ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(27,plain,
( ( ! [P: $i,C: $i,X: $i] :
( ~ ( iext @ uri_rdfs_domain @ P @ C )
| ! [Y: $i] :
~ ( iext @ P @ X @ Y )
| ( icext @ C @ X ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(28,plain,
( ( iext @ uri_rdfs_domain @ uri_rdfs_domain @ uri_rdf_Property )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(29,plain,
( ( ! [Z: $i] :
( ! [S1: $i,A1: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ A1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ uri_rdf_nil )
| ( ( ( ( sK8_X @ A1 @ S1 @ Z )
!= A1 )
| ~ ( icext @ Z @ ( sK8_X @ A1 @ S1 @ Z ) ) )
& ( ( ( sK8_X @ A1 @ S1 @ Z )
= A1 )
| ( icext @ Z @ ( sK8_X @ A1 @ S1 @ Z ) ) ) )
| ~ ( ic @ Z )
| ( iext @ uri_owl_oneOf @ Z @ S1 ) )
& ! [S1: $i,A1: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ A1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ Z @ S1 )
| ( ! [X: $i] :
( ( X != A1 )
| ( icext @ Z @ X ) )
& ! [X: $i] :
( ~ ( icext @ Z @ X )
| ( X = A1 ) ) ) )
& ! [S1: $i] :
( ! [A1: $i] :
~ ( iext @ uri_rdf_first @ S1 @ A1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ Z @ S1 )
| ( ic @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(30,plain,
( ( ! [P: $i] :
( ( ( iext @ P @ ( sK5_X1 @ P ) @ ( sK7_SY27 @ P ) )
& ( iext @ P @ ( sK6_SY25 @ P ) @ ( sK7_SY27 @ P ) )
& ( ( sK5_X1 @ P )
!= ( sK6_SY25 @ P ) ) )
| ~ ( ip @ P )
| ( icext @ uri_owl_InverseFunctionalProperty @ P ) )
& ! [P: $i] :
( ~ ( icext @ uri_owl_InverseFunctionalProperty @ P )
| ! [X1: $i,X2: $i] :
( ! [Y: $i] :
( ~ ( iext @ P @ X1 @ Y )
| ~ ( iext @ P @ X2 @ Y ) )
| ( X1 = X2 ) ) )
& ! [P: $i] :
( ~ ( icext @ uri_owl_InverseFunctionalProperty @ P )
| ( ip @ P ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(31,plain,
( ( ( iext @ uri_rdfs_domain @ uri_ex_p @ sK1_BNODE_x1 )
& ( iext @ uri_owl_oneOf @ sK1_BNODE_x1 @ sK3_SY22 )
& ( iext @ uri_rdf_first @ sK3_SY22 @ uri_ex_w )
& ( iext @ uri_rdf_rest @ sK3_SY22 @ uri_rdf_nil )
& ( iext @ uri_rdfs_range @ uri_ex_p @ sK2_SY19 )
& ( iext @ uri_owl_oneOf @ sK2_SY19 @ sK4_SY24 )
& ( iext @ uri_rdf_first @ sK4_SY24 @ uri_ex_u )
& ( iext @ uri_rdf_rest @ sK4_SY24 @ uri_rdf_nil ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(32,plain,
( ( ~ ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_InverseFunctionalProperty ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(33,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( iext @ uri_rdf_first @ SX1 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SX1 @ uri_rdf_nil )
| ~ ( ~ ( ( ( sK8_X @ SX2 @ SX1 @ SX0 )
!= SX2 )
| ~ ( icext @ SX0 @ ( sK8_X @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ( ( sK8_X @ SX2 @ SX1 @ SX0 )
= SX2 )
| ( icext @ SX0 @ ( sK8_X @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ( ic @ SX0 )
| ( iext @ uri_owl_oneOf @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( iext @ uri_rdf_first @ SX1 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SX1 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SX0 @ SX1 )
| ~ ( ~ ! [SX3: $i] :
( ( SX3 != SX2 )
| ( icext @ SX0 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( icext @ SX0 @ SX3 )
| ( SX3 = SX2 ) ) ) )
| ~ ! [SX1: $i] :
( ! [SX2: $i] :
~ ( iext @ uri_rdf_first @ SX1 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SX1 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SX0 @ SX1 )
| ( ic @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(34,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_domain @ uri_ex_p @ sK1_BNODE_x1 )
| ~ ( iext @ uri_owl_oneOf @ sK1_BNODE_x1 @ sK3_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY22 @ uri_ex_w ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY22 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdfs_range @ uri_ex_p @ sK2_SY19 ) )
| ~ ( iext @ uri_owl_oneOf @ sK2_SY19 @ sK4_SY24 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY24 @ uri_ex_u ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY24 @ uri_rdf_nil ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(35,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( icext @ SX1 @ SX0 )
| ( iext @ uri_rdf_type @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
| ( icext @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(36,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( ~ ~ ( ~ ( iext @ SX0 @ ( sK5_X1 @ SX0 ) @ ( sK7_SY27 @ SX0 ) )
| ~ ( iext @ SX0 @ ( sK6_SY25 @ SX0 ) @ ( sK7_SY27 @ SX0 ) ) )
| ~ ( ( ( sK5_X1 @ SX0 )
!= ( sK6_SY25 @ SX0 ) ) ) )
| ~ ( ip @ SX0 )
| ( icext @ uri_owl_InverseFunctionalProperty @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SX0 )
| ! [SX1: $i,SX2: $i] :
( ! [SX3: $i] :
( ~ ( iext @ SX0 @ SX1 @ SX3 )
| ~ ( iext @ SX0 @ SX2 @ SX3 ) )
| ( SX1 = SX2 ) ) )
| ~ ! [SX0: $i] :
( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SX0 )
| ( ip @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(37,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( iext @ uri_rdf_type @ SX0 @ uri_rdf_Property )
| ( ip @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( ip @ SX0 )
| ( iext @ uri_rdf_type @ SX0 @ uri_rdf_Property ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(38,plain,
! [SV1: $i] :
( ( ! [SY28: $i,SY29: $i] :
( ~ ( iext @ uri_rdfs_domain @ SV1 @ SY28 )
| ! [SY30: $i] :
~ ( iext @ SV1 @ SY29 @ SY30 )
| ( icext @ SY28 @ SY29 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(39,plain,
( ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_InverseFunctionalProperty )
= $false ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(40,plain,
! [SV2: $i] :
( ( ~ ( ~ ! [SY31: $i,SY32: $i] :
( ~ ( iext @ uri_rdf_first @ SY31 @ SY32 )
| ~ ( iext @ uri_rdf_rest @ SY31 @ uri_rdf_nil )
| ~ ( ~ ( ( ( sK8_X @ SY32 @ SY31 @ SV2 )
!= SY32 )
| ~ ( icext @ SV2 @ ( sK8_X @ SY32 @ SY31 @ SV2 ) ) )
| ~ ( ( ( sK8_X @ SY32 @ SY31 @ SV2 )
= SY32 )
| ( icext @ SV2 @ ( sK8_X @ SY32 @ SY31 @ SV2 ) ) ) )
| ~ ( ic @ SV2 )
| ( iext @ uri_owl_oneOf @ SV2 @ SY31 ) )
| ~ ~ ( ~ ! [SY33: $i,SY34: $i] :
( ~ ( iext @ uri_rdf_first @ SY33 @ SY34 )
| ~ ( iext @ uri_rdf_rest @ SY33 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV2 @ SY33 )
| ~ ( ~ ! [SY35: $i] :
( ( SY35 != SY34 )
| ( icext @ SV2 @ SY35 ) )
| ~ ! [SY36: $i] :
( ~ ( icext @ SV2 @ SY36 )
| ( SY36 = SY34 ) ) ) )
| ~ ! [SY37: $i] :
( ! [SX2: $i] :
~ ( iext @ uri_rdf_first @ SY37 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SY37 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV2 @ SY37 )
| ( ic @ SV2 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(41,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_domain @ uri_ex_p @ sK1_BNODE_x1 )
| ~ ( iext @ uri_owl_oneOf @ sK1_BNODE_x1 @ sK3_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY22 @ uri_ex_w ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY22 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdfs_range @ uri_ex_p @ sK2_SY19 ) )
| ~ ( iext @ uri_owl_oneOf @ sK2_SY19 @ sK4_SY24 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY24 @ uri_ex_u ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY24 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(42,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( icext @ SX1 @ SX0 )
| ( iext @ uri_rdf_type @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
| ( icext @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(43,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ~ ~ ( ~ ( iext @ SX0 @ ( sK5_X1 @ SX0 ) @ ( sK7_SY27 @ SX0 ) )
| ~ ( iext @ SX0 @ ( sK6_SY25 @ SX0 ) @ ( sK7_SY27 @ SX0 ) ) )
| ~ ( ( ( sK5_X1 @ SX0 )
!= ( sK6_SY25 @ SX0 ) ) ) )
| ~ ( ip @ SX0 )
| ( icext @ uri_owl_InverseFunctionalProperty @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SX0 )
| ! [SX1: $i,SX2: $i] :
( ! [SX3: $i] :
( ~ ( iext @ SX0 @ SX1 @ SX3 )
| ~ ( iext @ SX0 @ SX2 @ SX3 ) )
| ( SX1 = SX2 ) ) )
| ~ ! [SX0: $i] :
( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SX0 )
| ( ip @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(44,plain,
( ( ~ ! [SX0: $i] :
( ~ ( iext @ uri_rdf_type @ SX0 @ uri_rdf_Property )
| ( ip @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( ip @ SX0 )
| ( iext @ uri_rdf_type @ SX0 @ uri_rdf_Property ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(45,plain,
! [SV3: $i,SV1: $i] :
( ( ! [SY39: $i] :
( ~ ( iext @ uri_rdfs_domain @ SV1 @ SV3 )
| ! [SY30: $i] :
~ ( iext @ SV1 @ SY39 @ SY30 )
| ( icext @ SV3 @ SY39 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(46,plain,
! [SV2: $i] :
( ( ~ ! [SY31: $i,SY32: $i] :
( ~ ( iext @ uri_rdf_first @ SY31 @ SY32 )
| ~ ( iext @ uri_rdf_rest @ SY31 @ uri_rdf_nil )
| ~ ( ~ ( ( ( sK8_X @ SY32 @ SY31 @ SV2 )
!= SY32 )
| ~ ( icext @ SV2 @ ( sK8_X @ SY32 @ SY31 @ SV2 ) ) )
| ~ ( ( ( sK8_X @ SY32 @ SY31 @ SV2 )
= SY32 )
| ( icext @ SV2 @ ( sK8_X @ SY32 @ SY31 @ SV2 ) ) ) )
| ~ ( ic @ SV2 )
| ( iext @ uri_owl_oneOf @ SV2 @ SY31 ) )
| ~ ~ ( ~ ! [SY33: $i,SY34: $i] :
( ~ ( iext @ uri_rdf_first @ SY33 @ SY34 )
| ~ ( iext @ uri_rdf_rest @ SY33 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV2 @ SY33 )
| ~ ( ~ ! [SY35: $i] :
( ( SY35 != SY34 )
| ( icext @ SV2 @ SY35 ) )
| ~ ! [SY36: $i] :
( ~ ( icext @ SV2 @ SY36 )
| ( SY36 = SY34 ) ) ) )
| ~ ! [SY37: $i] :
( ! [SX2: $i] :
~ ( iext @ uri_rdf_first @ SY37 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SY37 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV2 @ SY37 )
| ( ic @ SV2 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(47,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_domain @ uri_ex_p @ sK1_BNODE_x1 )
| ~ ( iext @ uri_owl_oneOf @ sK1_BNODE_x1 @ sK3_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY22 @ uri_ex_w ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY22 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdfs_range @ uri_ex_p @ sK2_SY19 ) )
| ~ ( iext @ uri_owl_oneOf @ sK2_SY19 @ sK4_SY24 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY24 @ uri_ex_u ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(48,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK4_SY24 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(49,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( icext @ SX1 @ SX0 )
| ( iext @ uri_rdf_type @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[42]) ).
thf(50,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
| ( icext @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[42]) ).
thf(51,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ~ ~ ( ~ ( iext @ SX0 @ ( sK5_X1 @ SX0 ) @ ( sK7_SY27 @ SX0 ) )
| ~ ( iext @ SX0 @ ( sK6_SY25 @ SX0 ) @ ( sK7_SY27 @ SX0 ) ) )
| ~ ( ( ( sK5_X1 @ SX0 )
!= ( sK6_SY25 @ SX0 ) ) ) )
| ~ ( ip @ SX0 )
| ( icext @ uri_owl_InverseFunctionalProperty @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[43]) ).
thf(52,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SX0 )
| ! [SX1: $i,SX2: $i] :
( ! [SX3: $i] :
( ~ ( iext @ SX0 @ SX1 @ SX3 )
| ~ ( iext @ SX0 @ SX2 @ SX3 ) )
| ( SX1 = SX2 ) ) )
| ~ ! [SX0: $i] :
( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SX0 )
| ( ip @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[43]) ).
thf(53,plain,
( ( ~ ! [SX0: $i] :
( ~ ( iext @ uri_rdf_type @ SX0 @ uri_rdf_Property )
| ( ip @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[44]) ).
thf(54,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ip @ SX0 )
| ( iext @ uri_rdf_type @ SX0 @ uri_rdf_Property ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[44]) ).
thf(55,plain,
! [SV4: $i,SV3: $i,SV1: $i] :
( ( ~ ( iext @ uri_rdfs_domain @ SV1 @ SV3 )
| ! [SY41: $i] :
~ ( iext @ SV1 @ SV4 @ SY41 )
| ( icext @ SV3 @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(56,plain,
! [SV2: $i] :
( ( ~ ! [SY31: $i,SY32: $i] :
( ~ ( iext @ uri_rdf_first @ SY31 @ SY32 )
| ~ ( iext @ uri_rdf_rest @ SY31 @ uri_rdf_nil )
| ~ ( ~ ( ( ( sK8_X @ SY32 @ SY31 @ SV2 )
!= SY32 )
| ~ ( icext @ SV2 @ ( sK8_X @ SY32 @ SY31 @ SV2 ) ) )
| ~ ( ( ( sK8_X @ SY32 @ SY31 @ SV2 )
= SY32 )
| ( icext @ SV2 @ ( sK8_X @ SY32 @ SY31 @ SV2 ) ) ) )
| ~ ( ic @ SV2 )
| ( iext @ uri_owl_oneOf @ SV2 @ SY31 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[46]) ).
thf(57,plain,
! [SV2: $i] :
( ( ~ ~ ( ~ ! [SY33: $i,SY34: $i] :
( ~ ( iext @ uri_rdf_first @ SY33 @ SY34 )
| ~ ( iext @ uri_rdf_rest @ SY33 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV2 @ SY33 )
| ~ ( ~ ! [SY35: $i] :
( ( SY35 != SY34 )
| ( icext @ SV2 @ SY35 ) )
| ~ ! [SY36: $i] :
( ~ ( icext @ SV2 @ SY36 )
| ( SY36 = SY34 ) ) ) )
| ~ ! [SY37: $i] :
( ! [SX2: $i] :
~ ( iext @ uri_rdf_first @ SY37 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SY37 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV2 @ SY37 )
| ( ic @ SV2 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[46]) ).
thf(58,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_domain @ uri_ex_p @ sK1_BNODE_x1 )
| ~ ( iext @ uri_owl_oneOf @ sK1_BNODE_x1 @ sK3_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY22 @ uri_ex_w ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY22 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdfs_range @ uri_ex_p @ sK2_SY19 ) )
| ~ ( iext @ uri_owl_oneOf @ sK2_SY19 @ sK4_SY24 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY24 @ uri_ex_u ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[47]) ).
thf(59,plain,
( ( iext @ uri_rdf_rest @ sK4_SY24 @ uri_rdf_nil )
= $true ),
inference(extcnf_not_neg,[status(thm)],[48]) ).
thf(60,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( icext @ SX1 @ SX0 )
| ( iext @ uri_rdf_type @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[49]) ).
thf(61,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
| ( icext @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[50]) ).
thf(62,plain,
( ( ! [SX0: $i] :
( ~ ( ~ ~ ( ~ ( iext @ SX0 @ ( sK5_X1 @ SX0 ) @ ( sK7_SY27 @ SX0 ) )
| ~ ( iext @ SX0 @ ( sK6_SY25 @ SX0 ) @ ( sK7_SY27 @ SX0 ) ) )
| ~ ( ( ( sK5_X1 @ SX0 )
!= ( sK6_SY25 @ SX0 ) ) ) )
| ~ ( ip @ SX0 )
| ( icext @ uri_owl_InverseFunctionalProperty @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[51]) ).
thf(63,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SX0 )
| ! [SX1: $i,SX2: $i] :
( ! [SX3: $i] :
( ~ ( iext @ SX0 @ SX1 @ SX3 )
| ~ ( iext @ SX0 @ SX2 @ SX3 ) )
| ( SX1 = SX2 ) ) )
| ~ ! [SX0: $i] :
( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SX0 )
| ( ip @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[52]) ).
thf(64,plain,
( ( ! [SX0: $i] :
( ~ ( iext @ uri_rdf_type @ SX0 @ uri_rdf_Property )
| ( ip @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[53]) ).
thf(65,plain,
( ( ! [SX0: $i] :
( ~ ( ip @ SX0 )
| ( iext @ uri_rdf_type @ SX0 @ uri_rdf_Property ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[54]) ).
thf(66,plain,
! [SV4: $i,SV3: $i,SV1: $i] :
( ( ( ~ ( iext @ uri_rdfs_domain @ SV1 @ SV3 )
| ! [SY41: $i] :
~ ( iext @ SV1 @ SV4 @ SY41 ) )
= $true )
| ( ( icext @ SV3 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[55]) ).
thf(67,plain,
! [SV2: $i] :
( ( ! [SY31: $i,SY32: $i] :
( ~ ( iext @ uri_rdf_first @ SY31 @ SY32 )
| ~ ( iext @ uri_rdf_rest @ SY31 @ uri_rdf_nil )
| ~ ( ~ ( ( ( sK8_X @ SY32 @ SY31 @ SV2 )
!= SY32 )
| ~ ( icext @ SV2 @ ( sK8_X @ SY32 @ SY31 @ SV2 ) ) )
| ~ ( ( ( sK8_X @ SY32 @ SY31 @ SV2 )
= SY32 )
| ( icext @ SV2 @ ( sK8_X @ SY32 @ SY31 @ SV2 ) ) ) )
| ~ ( ic @ SV2 )
| ( iext @ uri_owl_oneOf @ SV2 @ SY31 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[56]) ).
thf(68,plain,
! [SV2: $i] :
( ( ~ ( ~ ! [SY33: $i,SY34: $i] :
( ~ ( iext @ uri_rdf_first @ SY33 @ SY34 )
| ~ ( iext @ uri_rdf_rest @ SY33 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV2 @ SY33 )
| ~ ( ~ ! [SY35: $i] :
( ( SY35 != SY34 )
| ( icext @ SV2 @ SY35 ) )
| ~ ! [SY36: $i] :
( ~ ( icext @ SV2 @ SY36 )
| ( SY36 = SY34 ) ) ) )
| ~ ! [SY37: $i] :
( ! [SX2: $i] :
~ ( iext @ uri_rdf_first @ SY37 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SY37 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV2 @ SY37 )
| ( ic @ SV2 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[57]) ).
thf(69,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_domain @ uri_ex_p @ sK1_BNODE_x1 )
| ~ ( iext @ uri_owl_oneOf @ sK1_BNODE_x1 @ sK3_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY22 @ uri_ex_w ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY22 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdfs_range @ uri_ex_p @ sK2_SY19 ) )
| ~ ( iext @ uri_owl_oneOf @ sK2_SY19 @ sK4_SY24 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY24 @ uri_ex_u ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(70,plain,
! [SV5: $i] :
( ( ! [SY42: $i] :
( ~ ( icext @ SY42 @ SV5 )
| ( iext @ uri_rdf_type @ SV5 @ SY42 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(71,plain,
! [SV6: $i] :
( ( ! [SY43: $i] :
( ~ ( iext @ uri_rdf_type @ SV6 @ SY43 )
| ( icext @ SY43 @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(72,plain,
! [SV7: $i] :
( ( ~ ( ~ ~ ( ~ ( iext @ SV7 @ ( sK5_X1 @ SV7 ) @ ( sK7_SY27 @ SV7 ) )
| ~ ( iext @ SV7 @ ( sK6_SY25 @ SV7 ) @ ( sK7_SY27 @ SV7 ) ) )
| ~ ( ( ( sK5_X1 @ SV7 )
!= ( sK6_SY25 @ SV7 ) ) ) )
| ~ ( ip @ SV7 )
| ( icext @ uri_owl_InverseFunctionalProperty @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(73,plain,
( ( ~ ! [SX0: $i] :
( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SX0 )
| ! [SX1: $i,SX2: $i] :
( ! [SX3: $i] :
( ~ ( iext @ SX0 @ SX1 @ SX3 )
| ~ ( iext @ SX0 @ SX2 @ SX3 ) )
| ( SX1 = SX2 ) ) )
| ~ ! [SX0: $i] :
( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SX0 )
| ( ip @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(74,plain,
! [SV8: $i] :
( ( ~ ( iext @ uri_rdf_type @ SV8 @ uri_rdf_Property )
| ( ip @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(75,plain,
! [SV9: $i] :
( ( ~ ( ip @ SV9 )
| ( iext @ uri_rdf_type @ SV9 @ uri_rdf_Property ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(76,plain,
! [SV4: $i,SV3: $i,SV1: $i] :
( ( ( ~ ( iext @ uri_rdfs_domain @ SV1 @ SV3 ) )
= $true )
| ( ( ! [SY41: $i] :
~ ( iext @ SV1 @ SV4 @ SY41 ) )
= $true )
| ( ( icext @ SV3 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[66]) ).
thf(77,plain,
! [SV2: $i,SV10: $i] :
( ( ! [SY44: $i] :
( ~ ( iext @ uri_rdf_first @ SV10 @ SY44 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ uri_rdf_nil )
| ~ ( ~ ( ( ( sK8_X @ SY44 @ SV10 @ SV2 )
!= SY44 )
| ~ ( icext @ SV2 @ ( sK8_X @ SY44 @ SV10 @ SV2 ) ) )
| ~ ( ( ( sK8_X @ SY44 @ SV10 @ SV2 )
= SY44 )
| ( icext @ SV2 @ ( sK8_X @ SY44 @ SV10 @ SV2 ) ) ) )
| ~ ( ic @ SV2 )
| ( iext @ uri_owl_oneOf @ SV2 @ SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(78,plain,
! [SV2: $i] :
( ( ~ ! [SY33: $i,SY34: $i] :
( ~ ( iext @ uri_rdf_first @ SY33 @ SY34 )
| ~ ( iext @ uri_rdf_rest @ SY33 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV2 @ SY33 )
| ~ ( ~ ! [SY35: $i] :
( ( SY35 != SY34 )
| ( icext @ SV2 @ SY35 ) )
| ~ ! [SY36: $i] :
( ~ ( icext @ SV2 @ SY36 )
| ( SY36 = SY34 ) ) ) )
| ~ ! [SY37: $i] :
( ! [SX2: $i] :
~ ( iext @ uri_rdf_first @ SY37 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SY37 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV2 @ SY37 )
| ( ic @ SV2 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(79,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_domain @ uri_ex_p @ sK1_BNODE_x1 )
| ~ ( iext @ uri_owl_oneOf @ sK1_BNODE_x1 @ sK3_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY22 @ uri_ex_w ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY22 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdfs_range @ uri_ex_p @ sK2_SY19 ) )
| ~ ( iext @ uri_owl_oneOf @ sK2_SY19 @ sK4_SY24 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[69]) ).
thf(80,plain,
( ( ~ ( iext @ uri_rdf_first @ sK4_SY24 @ uri_ex_u ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[69]) ).
thf(81,plain,
! [SV5: $i,SV11: $i] :
( ( ~ ( icext @ SV11 @ SV5 )
| ( iext @ uri_rdf_type @ SV5 @ SV11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(82,plain,
! [SV12: $i,SV6: $i] :
( ( ~ ( iext @ uri_rdf_type @ SV6 @ SV12 )
| ( icext @ SV12 @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(83,plain,
! [SV7: $i] :
( ( ( ~ ( ~ ~ ( ~ ( iext @ SV7 @ ( sK5_X1 @ SV7 ) @ ( sK7_SY27 @ SV7 ) )
| ~ ( iext @ SV7 @ ( sK6_SY25 @ SV7 ) @ ( sK7_SY27 @ SV7 ) ) )
| ~ ( ( ( sK5_X1 @ SV7 )
!= ( sK6_SY25 @ SV7 ) ) ) )
| ~ ( ip @ SV7 ) )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[72]) ).
thf(84,plain,
( ( ~ ! [SX0: $i] :
( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SX0 )
| ! [SX1: $i,SX2: $i] :
( ! [SX3: $i] :
( ~ ( iext @ SX0 @ SX1 @ SX3 )
| ~ ( iext @ SX0 @ SX2 @ SX3 ) )
| ( SX1 = SX2 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(85,plain,
( ( ~ ! [SX0: $i] :
( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SX0 )
| ( ip @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(86,plain,
! [SV8: $i] :
( ( ( ~ ( iext @ uri_rdf_type @ SV8 @ uri_rdf_Property ) )
= $true )
| ( ( ip @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[74]) ).
thf(87,plain,
! [SV9: $i] :
( ( ( ~ ( ip @ SV9 ) )
= $true )
| ( ( iext @ uri_rdf_type @ SV9 @ uri_rdf_Property )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[75]) ).
thf(88,plain,
! [SV4: $i,SV3: $i,SV1: $i] :
( ( ( iext @ uri_rdfs_domain @ SV1 @ SV3 )
= $false )
| ( ( ! [SY41: $i] :
~ ( iext @ SV1 @ SV4 @ SY41 ) )
= $true )
| ( ( icext @ SV3 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(89,plain,
! [SV2: $i,SV13: $i,SV10: $i] :
( ( ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ uri_rdf_nil )
| ~ ( ~ ( ( ( sK8_X @ SV13 @ SV10 @ SV2 )
!= SV13 )
| ~ ( icext @ SV2 @ ( sK8_X @ SV13 @ SV10 @ SV2 ) ) )
| ~ ( ( ( sK8_X @ SV13 @ SV10 @ SV2 )
= SV13 )
| ( icext @ SV2 @ ( sK8_X @ SV13 @ SV10 @ SV2 ) ) ) )
| ~ ( ic @ SV2 )
| ( iext @ uri_owl_oneOf @ SV2 @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(90,plain,
! [SV2: $i] :
( ( ~ ! [SY33: $i,SY34: $i] :
( ~ ( iext @ uri_rdf_first @ SY33 @ SY34 )
| ~ ( iext @ uri_rdf_rest @ SY33 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV2 @ SY33 )
| ~ ( ~ ! [SY35: $i] :
( ( SY35 != SY34 )
| ( icext @ SV2 @ SY35 ) )
| ~ ! [SY36: $i] :
( ~ ( icext @ SV2 @ SY36 )
| ( SY36 = SY34 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[78]) ).
thf(91,plain,
! [SV2: $i] :
( ( ~ ! [SY37: $i] :
( ! [SX2: $i] :
~ ( iext @ uri_rdf_first @ SY37 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SY37 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV2 @ SY37 )
| ( ic @ SV2 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[78]) ).
thf(92,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_domain @ uri_ex_p @ sK1_BNODE_x1 )
| ~ ( iext @ uri_owl_oneOf @ sK1_BNODE_x1 @ sK3_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY22 @ uri_ex_w ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY22 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdfs_range @ uri_ex_p @ sK2_SY19 ) )
| ~ ( iext @ uri_owl_oneOf @ sK2_SY19 @ sK4_SY24 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[79]) ).
thf(93,plain,
( ( iext @ uri_rdf_first @ sK4_SY24 @ uri_ex_u )
= $true ),
inference(extcnf_not_neg,[status(thm)],[80]) ).
thf(94,plain,
! [SV5: $i,SV11: $i] :
( ( ( ~ ( icext @ SV11 @ SV5 ) )
= $true )
| ( ( iext @ uri_rdf_type @ SV5 @ SV11 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[81]) ).
thf(95,plain,
! [SV12: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_type @ SV6 @ SV12 ) )
= $true )
| ( ( icext @ SV12 @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[82]) ).
thf(96,plain,
! [SV7: $i] :
( ( ( ~ ( ~ ~ ( ~ ( iext @ SV7 @ ( sK5_X1 @ SV7 ) @ ( sK7_SY27 @ SV7 ) )
| ~ ( iext @ SV7 @ ( sK6_SY25 @ SV7 ) @ ( sK7_SY27 @ SV7 ) ) )
| ~ ( ( ( sK5_X1 @ SV7 )
!= ( sK6_SY25 @ SV7 ) ) ) ) )
= $true )
| ( ( ~ ( ip @ SV7 ) )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[83]) ).
thf(97,plain,
( ( ! [SX0: $i] :
( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SX0 )
| ! [SX1: $i,SX2: $i] :
( ! [SX3: $i] :
( ~ ( iext @ SX0 @ SX1 @ SX3 )
| ~ ( iext @ SX0 @ SX2 @ SX3 ) )
| ( SX1 = SX2 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[84]) ).
thf(98,plain,
( ( ! [SX0: $i] :
( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SX0 )
| ( ip @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[85]) ).
thf(99,plain,
! [SV8: $i] :
( ( ( iext @ uri_rdf_type @ SV8 @ uri_rdf_Property )
= $false )
| ( ( ip @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[86]) ).
thf(100,plain,
! [SV9: $i] :
( ( ( ip @ SV9 )
= $false )
| ( ( iext @ uri_rdf_type @ SV9 @ uri_rdf_Property )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(101,plain,
! [SV3: $i,SV14: $i,SV4: $i,SV1: $i] :
( ( ( ~ ( iext @ SV1 @ SV4 @ SV14 ) )
= $true )
| ( ( iext @ uri_rdfs_domain @ SV1 @ SV3 )
= $false )
| ( ( icext @ SV3 @ SV4 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(102,plain,
! [SV2: $i,SV13: $i,SV10: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ( ( sK8_X @ SV13 @ SV10 @ SV2 )
!= SV13 )
| ~ ( icext @ SV2 @ ( sK8_X @ SV13 @ SV10 @ SV2 ) ) )
| ~ ( ( ( sK8_X @ SV13 @ SV10 @ SV2 )
= SV13 )
| ( icext @ SV2 @ ( sK8_X @ SV13 @ SV10 @ SV2 ) ) ) )
| ~ ( ic @ SV2 )
| ( iext @ uri_owl_oneOf @ SV2 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[89]) ).
thf(103,plain,
! [SV2: $i] :
( ( ! [SY33: $i,SY34: $i] :
( ~ ( iext @ uri_rdf_first @ SY33 @ SY34 )
| ~ ( iext @ uri_rdf_rest @ SY33 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV2 @ SY33 )
| ~ ( ~ ! [SY35: $i] :
( ( SY35 != SY34 )
| ( icext @ SV2 @ SY35 ) )
| ~ ! [SY36: $i] :
( ~ ( icext @ SV2 @ SY36 )
| ( SY36 = SY34 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[90]) ).
thf(104,plain,
! [SV2: $i] :
( ( ! [SY37: $i] :
( ! [SX2: $i] :
~ ( iext @ uri_rdf_first @ SY37 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SY37 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV2 @ SY37 )
| ( ic @ SV2 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[91]) ).
thf(105,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_domain @ uri_ex_p @ sK1_BNODE_x1 )
| ~ ( iext @ uri_owl_oneOf @ sK1_BNODE_x1 @ sK3_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY22 @ uri_ex_w ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY22 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdfs_range @ uri_ex_p @ sK2_SY19 ) )
| ~ ( iext @ uri_owl_oneOf @ sK2_SY19 @ sK4_SY24 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(106,plain,
! [SV5: $i,SV11: $i] :
( ( ( icext @ SV11 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_type @ SV5 @ SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[94]) ).
thf(107,plain,
! [SV12: $i,SV6: $i] :
( ( ( iext @ uri_rdf_type @ SV6 @ SV12 )
= $false )
| ( ( icext @ SV12 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(108,plain,
! [SV7: $i] :
( ( ( ~ ~ ( ~ ( iext @ SV7 @ ( sK5_X1 @ SV7 ) @ ( sK7_SY27 @ SV7 ) )
| ~ ( iext @ SV7 @ ( sK6_SY25 @ SV7 ) @ ( sK7_SY27 @ SV7 ) ) )
| ~ ( ( ( sK5_X1 @ SV7 )
!= ( sK6_SY25 @ SV7 ) ) ) )
= $false )
| ( ( ~ ( ip @ SV7 ) )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(109,plain,
! [SV15: $i] :
( ( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SV15 )
| ! [SY45: $i,SY46: $i] :
( ! [SY47: $i] :
( ~ ( iext @ SV15 @ SY45 @ SY47 )
| ~ ( iext @ SV15 @ SY46 @ SY47 ) )
| ( SY45 = SY46 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(110,plain,
! [SV16: $i] :
( ( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SV16 )
| ( ip @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(111,plain,
! [SV3: $i,SV14: $i,SV4: $i,SV1: $i] :
( ( ( iext @ SV1 @ SV4 @ SV14 )
= $false )
| ( ( iext @ uri_rdfs_domain @ SV1 @ SV3 )
= $false )
| ( ( icext @ SV3 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(112,plain,
! [SV2: $i,SV13: $i,SV10: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV10 @ SV13 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV10 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ( ( sK8_X @ SV13 @ SV10 @ SV2 )
!= SV13 )
| ~ ( icext @ SV2 @ ( sK8_X @ SV13 @ SV10 @ SV2 ) ) )
| ~ ( ( ( sK8_X @ SV13 @ SV10 @ SV2 )
= SV13 )
| ( icext @ SV2 @ ( sK8_X @ SV13 @ SV10 @ SV2 ) ) ) )
| ~ ( ic @ SV2 )
| ( iext @ uri_owl_oneOf @ SV2 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[102]) ).
thf(113,plain,
! [SV2: $i,SV17: $i] :
( ( ! [SY48: $i] :
( ~ ( iext @ uri_rdf_first @ SV17 @ SY48 )
| ~ ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV2 @ SV17 )
| ~ ( ~ ! [SY35: $i] :
( ( SY35 != SY48 )
| ( icext @ SV2 @ SY35 ) )
| ~ ! [SY36: $i] :
( ~ ( icext @ SV2 @ SY36 )
| ( SY36 = SY48 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(114,plain,
! [SV2: $i,SV18: $i] :
( ( ! [SY51: $i] :
~ ( iext @ uri_rdf_first @ SV18 @ SY51 )
| ~ ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV2 @ SV18 )
| ( ic @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(115,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_domain @ uri_ex_p @ sK1_BNODE_x1 )
| ~ ( iext @ uri_owl_oneOf @ sK1_BNODE_x1 @ sK3_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY22 @ uri_ex_w ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY22 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdfs_range @ uri_ex_p @ sK2_SY19 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[105]) ).
thf(116,plain,
( ( ~ ( iext @ uri_owl_oneOf @ sK2_SY19 @ sK4_SY24 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[105]) ).
thf(117,plain,
! [SV7: $i] :
( ( ( ~ ~ ( ~ ( iext @ SV7 @ ( sK5_X1 @ SV7 ) @ ( sK7_SY27 @ SV7 ) )
| ~ ( iext @ SV7 @ ( sK6_SY25 @ SV7 ) @ ( sK7_SY27 @ SV7 ) ) ) )
= $false )
| ( ( ~ ( ip @ SV7 ) )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[108]) ).
thf(118,plain,
! [SV7: $i] :
( ( ( ~ ( ( ( sK5_X1 @ SV7 )
!= ( sK6_SY25 @ SV7 ) ) ) )
= $false )
| ( ( ~ ( ip @ SV7 ) )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[108]) ).
thf(119,plain,
! [SV15: $i] :
( ( ( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SV15 ) )
= $true )
| ( ( ! [SY45: $i,SY46: $i] :
( ! [SY47: $i] :
( ~ ( iext @ SV15 @ SY45 @ SY47 )
| ~ ( iext @ SV15 @ SY46 @ SY47 ) )
| ( SY45 = SY46 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[109]) ).
thf(120,plain,
! [SV16: $i] :
( ( ( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SV16 ) )
= $true )
| ( ( ip @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[110]) ).
thf(121,plain,
! [SV2: $i,SV13: $i,SV10: $i] :
( ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV10 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ( ( sK8_X @ SV13 @ SV10 @ SV2 )
!= SV13 )
| ~ ( icext @ SV2 @ ( sK8_X @ SV13 @ SV10 @ SV2 ) ) )
| ~ ( ( ( sK8_X @ SV13 @ SV10 @ SV2 )
= SV13 )
| ( icext @ SV2 @ ( sK8_X @ SV13 @ SV10 @ SV2 ) ) ) )
| ~ ( ic @ SV2 )
| ( iext @ uri_owl_oneOf @ SV2 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(122,plain,
! [SV2: $i,SV19: $i,SV17: $i] :
( ( ~ ( iext @ uri_rdf_first @ SV17 @ SV19 )
| ~ ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV2 @ SV17 )
| ~ ( ~ ! [SY52: $i] :
( ( SY52 != SV19 )
| ( icext @ SV2 @ SY52 ) )
| ~ ! [SY53: $i] :
( ~ ( icext @ SV2 @ SY53 )
| ( SY53 = SV19 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(123,plain,
! [SV2: $i,SV18: $i] :
( ( ( ! [SY51: $i] :
~ ( iext @ uri_rdf_first @ SV18 @ SY51 )
| ~ ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV2 @ SV18 )
| ( ic @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[114]) ).
thf(124,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_domain @ uri_ex_p @ sK1_BNODE_x1 )
| ~ ( iext @ uri_owl_oneOf @ sK1_BNODE_x1 @ sK3_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY22 @ uri_ex_w ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY22 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdfs_range @ uri_ex_p @ sK2_SY19 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[115]) ).
thf(125,plain,
( ( iext @ uri_owl_oneOf @ sK2_SY19 @ sK4_SY24 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[116]) ).
thf(126,plain,
! [SV7: $i] :
( ( ( ~ ( ~ ( iext @ SV7 @ ( sK5_X1 @ SV7 ) @ ( sK7_SY27 @ SV7 ) )
| ~ ( iext @ SV7 @ ( sK6_SY25 @ SV7 ) @ ( sK7_SY27 @ SV7 ) ) ) )
= $true )
| ( ( ~ ( ip @ SV7 ) )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[117]) ).
thf(127,plain,
! [SV7: $i] :
( ( ( ( ( sK5_X1 @ SV7 )
!= ( sK6_SY25 @ SV7 ) ) )
= $true )
| ( ( ~ ( ip @ SV7 ) )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[118]) ).
thf(128,plain,
! [SV15: $i] :
( ( ( icext @ uri_owl_InverseFunctionalProperty @ SV15 )
= $false )
| ( ( ! [SY45: $i,SY46: $i] :
( ! [SY47: $i] :
( ~ ( iext @ SV15 @ SY45 @ SY47 )
| ~ ( iext @ SV15 @ SY46 @ SY47 ) )
| ( SY45 = SY46 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(129,plain,
! [SV16: $i] :
( ( ( icext @ uri_owl_InverseFunctionalProperty @ SV16 )
= $false )
| ( ( ip @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(130,plain,
! [SV2: $i,SV13: $i,SV10: $i] :
( ( ( iext @ uri_rdf_rest @ SV10 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( ~ ( ~ ( ( ( sK8_X @ SV13 @ SV10 @ SV2 )
!= SV13 )
| ~ ( icext @ SV2 @ ( sK8_X @ SV13 @ SV10 @ SV2 ) ) )
| ~ ( ( ( sK8_X @ SV13 @ SV10 @ SV2 )
= SV13 )
| ( icext @ SV2 @ ( sK8_X @ SV13 @ SV10 @ SV2 ) ) ) )
| ~ ( ic @ SV2 )
| ( iext @ uri_owl_oneOf @ SV2 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(131,plain,
! [SV2: $i,SV19: $i,SV17: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV17 @ SV19 )
| ~ ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV2 @ SV17 )
| ~ ( ~ ! [SY52: $i] :
( ( SY52 != SV19 )
| ( icext @ SV2 @ SY52 ) )
| ~ ! [SY53: $i] :
( ~ ( icext @ SV2 @ SY53 )
| ( SY53 = SV19 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[122]) ).
thf(132,plain,
! [SV2: $i,SV18: $i] :
( ( ( ! [SY51: $i] :
~ ( iext @ uri_rdf_first @ SV18 @ SY51 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV2 @ SV18 )
| ( ic @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[123]) ).
thf(133,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_domain @ uri_ex_p @ sK1_BNODE_x1 )
| ~ ( iext @ uri_owl_oneOf @ sK1_BNODE_x1 @ sK3_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY22 @ uri_ex_w ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY22 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdfs_range @ uri_ex_p @ sK2_SY19 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(134,plain,
! [SV7: $i] :
( ( ( ~ ( iext @ SV7 @ ( sK5_X1 @ SV7 ) @ ( sK7_SY27 @ SV7 ) )
| ~ ( iext @ SV7 @ ( sK6_SY25 @ SV7 ) @ ( sK7_SY27 @ SV7 ) ) )
= $false )
| ( ( ~ ( ip @ SV7 ) )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(135,plain,
! [SV7: $i] :
( ( ( ( sK5_X1 @ SV7 )
= ( sK6_SY25 @ SV7 ) )
= $false )
| ( ( ~ ( ip @ SV7 ) )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(136,plain,
! [SV20: $i,SV15: $i] :
( ( ( ! [SY54: $i] :
( ! [SY55: $i] :
( ~ ( iext @ SV15 @ SV20 @ SY55 )
| ~ ( iext @ SV15 @ SY54 @ SY55 ) )
| ( SV20 = SY54 ) ) )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(137,plain,
! [SV2: $i,SV10: $i,SV13: $i] :
( ( ( ~ ( ~ ( ( ( sK8_X @ SV13 @ SV10 @ SV2 )
!= SV13 )
| ~ ( icext @ SV2 @ ( sK8_X @ SV13 @ SV10 @ SV2 ) ) )
| ~ ( ( ( sK8_X @ SV13 @ SV10 @ SV2 )
= SV13 )
| ( icext @ SV2 @ ( sK8_X @ SV13 @ SV10 @ SV2 ) ) ) )
| ~ ( ic @ SV2 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV2 @ SV10 )
= $true )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[130]) ).
thf(138,plain,
! [SV2: $i,SV19: $i,SV17: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV17 @ SV19 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV2 @ SV17 )
| ~ ( ~ ! [SY52: $i] :
( ( SY52 != SV19 )
| ( icext @ SV2 @ SY52 ) )
| ~ ! [SY53: $i] :
( ~ ( icext @ SV2 @ SY53 )
| ( SY53 = SV19 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[131]) ).
thf(139,plain,
! [SV2: $i,SV21: $i,SV18: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV18 @ SV21 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV2 @ SV18 )
| ( ic @ SV2 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[132]) ).
thf(140,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_domain @ uri_ex_p @ sK1_BNODE_x1 )
| ~ ( iext @ uri_owl_oneOf @ sK1_BNODE_x1 @ sK3_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY22 @ uri_ex_w ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY22 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[133]) ).
thf(141,plain,
( ( ~ ( iext @ uri_rdfs_range @ uri_ex_p @ sK2_SY19 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[133]) ).
thf(142,plain,
! [SV7: $i] :
( ( ( ~ ( iext @ SV7 @ ( sK5_X1 @ SV7 ) @ ( sK7_SY27 @ SV7 ) ) )
= $false )
| ( ( ~ ( ip @ SV7 ) )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[134]) ).
thf(143,plain,
! [SV7: $i] :
( ( ( ~ ( iext @ SV7 @ ( sK6_SY25 @ SV7 ) @ ( sK7_SY27 @ SV7 ) ) )
= $false )
| ( ( ~ ( ip @ SV7 ) )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[134]) ).
thf(144,plain,
! [SV7: $i] :
( ( ( ip @ SV7 )
= $false )
| ( ( ( sK5_X1 @ SV7 )
= ( sK6_SY25 @ SV7 ) )
= $false )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(145,plain,
! [SV22: $i,SV20: $i,SV15: $i] :
( ( ( ! [SY56: $i] :
( ~ ( iext @ SV15 @ SV20 @ SY56 )
| ~ ( iext @ SV15 @ SV22 @ SY56 ) )
| ( SV20 = SV22 ) )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[136]) ).
thf(146,plain,
! [SV2: $i,SV10: $i,SV13: $i] :
( ( ( ~ ( ~ ( ( ( sK8_X @ SV13 @ SV10 @ SV2 )
!= SV13 )
| ~ ( icext @ SV2 @ ( sK8_X @ SV13 @ SV10 @ SV2 ) ) )
| ~ ( ( ( sK8_X @ SV13 @ SV10 @ SV2 )
= SV13 )
| ( icext @ SV2 @ ( sK8_X @ SV13 @ SV10 @ SV2 ) ) ) ) )
= $true )
| ( ( ~ ( ic @ SV2 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV2 @ SV10 )
= $true )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[137]) ).
thf(147,plain,
! [SV2: $i,SV19: $i,SV17: $i] :
( ( ( iext @ uri_rdf_first @ SV17 @ SV19 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV2 @ SV17 )
| ~ ( ~ ! [SY52: $i] :
( ( SY52 != SV19 )
| ( icext @ SV2 @ SY52 ) )
| ~ ! [SY53: $i] :
( ~ ( icext @ SV2 @ SY53 )
| ( SY53 = SV19 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(148,plain,
! [SV2: $i,SV21: $i,SV18: $i] :
( ( ( iext @ uri_rdf_first @ SV18 @ SV21 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV2 @ SV18 )
| ( ic @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(149,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_domain @ uri_ex_p @ sK1_BNODE_x1 )
| ~ ( iext @ uri_owl_oneOf @ sK1_BNODE_x1 @ sK3_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY22 @ uri_ex_w ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY22 @ uri_rdf_nil ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[140]) ).
thf(150,plain,
( ( iext @ uri_rdfs_range @ uri_ex_p @ sK2_SY19 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[141]) ).
thf(151,plain,
! [SV7: $i] :
( ( ( iext @ SV7 @ ( sK5_X1 @ SV7 ) @ ( sK7_SY27 @ SV7 ) )
= $true )
| ( ( ~ ( ip @ SV7 ) )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[142]) ).
thf(152,plain,
! [SV7: $i] :
( ( ( iext @ SV7 @ ( sK6_SY25 @ SV7 ) @ ( sK7_SY27 @ SV7 ) )
= $true )
| ( ( ~ ( ip @ SV7 ) )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[143]) ).
thf(153,plain,
! [SV22: $i,SV20: $i,SV15: $i] :
( ( ( ! [SY56: $i] :
( ~ ( iext @ SV15 @ SV20 @ SY56 )
| ~ ( iext @ SV15 @ SV22 @ SY56 ) ) )
= $true )
| ( ( SV20 = SV22 )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[145]) ).
thf(154,plain,
! [SV2: $i,SV10: $i,SV13: $i] :
( ( ( ~ ( ( ( sK8_X @ SV13 @ SV10 @ SV2 )
!= SV13 )
| ~ ( icext @ SV2 @ ( sK8_X @ SV13 @ SV10 @ SV2 ) ) )
| ~ ( ( ( sK8_X @ SV13 @ SV10 @ SV2 )
= SV13 )
| ( icext @ SV2 @ ( sK8_X @ SV13 @ SV10 @ SV2 ) ) ) )
= $false )
| ( ( ~ ( ic @ SV2 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV2 @ SV10 )
= $true )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(155,plain,
! [SV2: $i,SV19: $i,SV17: $i] :
( ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_first @ SV17 @ SV19 )
= $false )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV2 @ SV17 )
| ~ ( ~ ! [SY52: $i] :
( ( SY52 != SV19 )
| ( icext @ SV2 @ SY52 ) )
| ~ ! [SY53: $i] :
( ~ ( icext @ SV2 @ SY53 )
| ( SY53 = SV19 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(156,plain,
! [SV2: $i,SV21: $i,SV18: $i] :
( ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_first @ SV18 @ SV21 )
= $false )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV2 @ SV18 )
| ( ic @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(157,plain,
( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_domain @ uri_ex_p @ sK1_BNODE_x1 )
| ~ ( iext @ uri_owl_oneOf @ sK1_BNODE_x1 @ sK3_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY22 @ uri_ex_w ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY22 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(158,plain,
! [SV7: $i] :
( ( ( ip @ SV7 )
= $false )
| ( ( iext @ SV7 @ ( sK5_X1 @ SV7 ) @ ( sK7_SY27 @ SV7 ) )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[151]) ).
thf(159,plain,
! [SV7: $i] :
( ( ( ip @ SV7 )
= $false )
| ( ( iext @ SV7 @ ( sK6_SY25 @ SV7 ) @ ( sK7_SY27 @ SV7 ) )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(160,plain,
! [SV22: $i,SV23: $i,SV20: $i,SV15: $i] :
( ( ( ~ ( iext @ SV15 @ SV20 @ SV23 )
| ~ ( iext @ SV15 @ SV22 @ SV23 ) )
= $true )
| ( ( SV20 = SV22 )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[153]) ).
thf(161,plain,
! [SV2: $i,SV10: $i,SV13: $i] :
( ( ( ~ ( ( ( sK8_X @ SV13 @ SV10 @ SV2 )
!= SV13 )
| ~ ( icext @ SV2 @ ( sK8_X @ SV13 @ SV10 @ SV2 ) ) ) )
= $false )
| ( ( ~ ( ic @ SV2 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV2 @ SV10 )
= $true )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[154]) ).
thf(162,plain,
! [SV2: $i,SV10: $i,SV13: $i] :
( ( ( ~ ( ( ( sK8_X @ SV13 @ SV10 @ SV2 )
= SV13 )
| ( icext @ SV2 @ ( sK8_X @ SV13 @ SV10 @ SV2 ) ) ) )
= $false )
| ( ( ~ ( ic @ SV2 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV2 @ SV10 )
= $true )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[154]) ).
thf(163,plain,
! [SV19: $i,SV17: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_owl_oneOf @ SV2 @ SV17 ) )
= $true )
| ( ( ~ ( ~ ! [SY52: $i] :
( ( SY52 != SV19 )
| ( icext @ SV2 @ SY52 ) )
| ~ ! [SY53: $i] :
( ~ ( icext @ SV2 @ SY53 )
| ( SY53 = SV19 ) ) ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[155]) ).
thf(164,plain,
! [SV21: $i,SV18: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_owl_oneOf @ SV2 @ SV18 ) )
= $true )
| ( ( ic @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV21 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[156]) ).
thf(165,plain,
( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_domain @ uri_ex_p @ sK1_BNODE_x1 )
| ~ ( iext @ uri_owl_oneOf @ sK1_BNODE_x1 @ sK3_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY22 @ uri_ex_w ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[157]) ).
thf(166,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK3_SY22 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[157]) ).
thf(167,plain,
! [SV22: $i,SV23: $i,SV20: $i,SV15: $i] :
( ( ( ~ ( iext @ SV15 @ SV20 @ SV23 ) )
= $true )
| ( ( ~ ( iext @ SV15 @ SV22 @ SV23 ) )
= $true )
| ( ( SV20 = SV22 )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[160]) ).
thf(168,plain,
! [SV2: $i,SV10: $i,SV13: $i] :
( ( ( ( ( sK8_X @ SV13 @ SV10 @ SV2 )
!= SV13 )
| ~ ( icext @ SV2 @ ( sK8_X @ SV13 @ SV10 @ SV2 ) ) )
= $true )
| ( ( ~ ( ic @ SV2 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV2 @ SV10 )
= $true )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[161]) ).
thf(169,plain,
! [SV2: $i,SV10: $i,SV13: $i] :
( ( ( ( ( sK8_X @ SV13 @ SV10 @ SV2 )
= SV13 )
| ( icext @ SV2 @ ( sK8_X @ SV13 @ SV10 @ SV2 ) ) )
= $true )
| ( ( ~ ( ic @ SV2 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV2 @ SV10 )
= $true )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[162]) ).
thf(170,plain,
! [SV19: $i,SV17: $i,SV2: $i] :
( ( ( iext @ uri_owl_oneOf @ SV2 @ SV17 )
= $false )
| ( ( ~ ( ~ ! [SY52: $i] :
( ( SY52 != SV19 )
| ( icext @ SV2 @ SY52 ) )
| ~ ! [SY53: $i] :
( ~ ( icext @ SV2 @ SY53 )
| ( SY53 = SV19 ) ) ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(171,plain,
! [SV21: $i,SV18: $i,SV2: $i] :
( ( ( iext @ uri_owl_oneOf @ SV2 @ SV18 )
= $false )
| ( ( ic @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV21 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(172,plain,
( ( ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_domain @ uri_ex_p @ sK1_BNODE_x1 )
| ~ ( iext @ uri_owl_oneOf @ sK1_BNODE_x1 @ sK3_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY22 @ uri_ex_w ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[165]) ).
thf(173,plain,
( ( iext @ uri_rdf_rest @ sK3_SY22 @ uri_rdf_nil )
= $true ),
inference(extcnf_not_neg,[status(thm)],[166]) ).
thf(174,plain,
! [SV22: $i,SV23: $i,SV20: $i,SV15: $i] :
( ( ( iext @ SV15 @ SV20 @ SV23 )
= $false )
| ( ( ~ ( iext @ SV15 @ SV22 @ SV23 ) )
= $true )
| ( ( SV20 = SV22 )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[167]) ).
thf(175,plain,
! [SV2: $i,SV10: $i,SV13: $i] :
( ( ( ( ( sK8_X @ SV13 @ SV10 @ SV2 )
!= SV13 ) )
= $true )
| ( ( ~ ( icext @ SV2 @ ( sK8_X @ SV13 @ SV10 @ SV2 ) ) )
= $true )
| ( ( ~ ( ic @ SV2 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV2 @ SV10 )
= $true )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[168]) ).
thf(176,plain,
! [SV2: $i,SV10: $i,SV13: $i] :
( ( ( ( sK8_X @ SV13 @ SV10 @ SV2 )
= SV13 )
= $true )
| ( ( icext @ SV2 @ ( sK8_X @ SV13 @ SV10 @ SV2 ) )
= $true )
| ( ( ~ ( ic @ SV2 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV2 @ SV10 )
= $true )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[169]) ).
thf(177,plain,
! [SV17: $i,SV2: $i,SV19: $i] :
( ( ( ~ ! [SY52: $i] :
( ( SY52 != SV19 )
| ( icext @ SV2 @ SY52 ) )
| ~ ! [SY53: $i] :
( ~ ( icext @ SV2 @ SY53 )
| ( SY53 = SV19 ) ) )
= $false )
| ( ( iext @ uri_owl_oneOf @ SV2 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_first @ SV17 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(178,plain,
( ( ~ ~ ( ~ ( iext @ uri_rdfs_domain @ uri_ex_p @ sK1_BNODE_x1 )
| ~ ( iext @ uri_owl_oneOf @ sK1_BNODE_x1 @ sK3_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY22 @ uri_ex_w ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(179,plain,
! [SV20: $i,SV23: $i,SV22: $i,SV15: $i] :
( ( ( iext @ SV15 @ SV22 @ SV23 )
= $false )
| ( ( iext @ SV15 @ SV20 @ SV23 )
= $false )
| ( ( SV20 = SV22 )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(180,plain,
! [SV2: $i,SV10: $i,SV13: $i] :
( ( ( ( sK8_X @ SV13 @ SV10 @ SV2 )
= SV13 )
= $false )
| ( ( ~ ( icext @ SV2 @ ( sK8_X @ SV13 @ SV10 @ SV2 ) ) )
= $true )
| ( ( ~ ( ic @ SV2 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV2 @ SV10 )
= $true )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(181,plain,
! [SV10: $i,SV13: $i,SV2: $i] :
( ( ( ic @ SV2 )
= $false )
| ( ( icext @ SV2 @ ( sK8_X @ SV13 @ SV10 @ SV2 ) )
= $true )
| ( ( ( sK8_X @ SV13 @ SV10 @ SV2 )
= SV13 )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV2 @ SV10 )
= $true )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(182,plain,
! [SV17: $i,SV2: $i,SV19: $i] :
( ( ( ~ ! [SY52: $i] :
( ( SY52 != SV19 )
| ( icext @ SV2 @ SY52 ) ) )
= $false )
| ( ( iext @ uri_owl_oneOf @ SV2 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_first @ SV17 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[177]) ).
thf(183,plain,
! [SV17: $i,SV19: $i,SV2: $i] :
( ( ( ~ ! [SY53: $i] :
( ~ ( icext @ SV2 @ SY53 )
| ( SY53 = SV19 ) ) )
= $false )
| ( ( iext @ uri_owl_oneOf @ SV2 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_first @ SV17 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[177]) ).
thf(184,plain,
( ( ~ ~ ( ~ ( iext @ uri_rdfs_domain @ uri_ex_p @ sK1_BNODE_x1 )
| ~ ( iext @ uri_owl_oneOf @ sK1_BNODE_x1 @ sK3_SY22 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[178]) ).
thf(185,plain,
( ( ~ ( iext @ uri_rdf_first @ sK3_SY22 @ uri_ex_w ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[178]) ).
thf(186,plain,
! [SV10: $i,SV13: $i,SV2: $i] :
( ( ( icext @ SV2 @ ( sK8_X @ SV13 @ SV10 @ SV2 ) )
= $false )
| ( ( ( sK8_X @ SV13 @ SV10 @ SV2 )
= SV13 )
= $false )
| ( ( ~ ( ic @ SV2 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV2 @ SV10 )
= $true )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(187,plain,
! [SV17: $i,SV2: $i,SV19: $i] :
( ( ( ! [SY52: $i] :
( ( SY52 != SV19 )
| ( icext @ SV2 @ SY52 ) ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV2 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_first @ SV17 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[182]) ).
thf(188,plain,
! [SV17: $i,SV19: $i,SV2: $i] :
( ( ( ! [SY53: $i] :
( ~ ( icext @ SV2 @ SY53 )
| ( SY53 = SV19 ) ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV2 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_first @ SV17 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[183]) ).
thf(189,plain,
( ( ~ ( ~ ( iext @ uri_rdfs_domain @ uri_ex_p @ sK1_BNODE_x1 )
| ~ ( iext @ uri_owl_oneOf @ sK1_BNODE_x1 @ sK3_SY22 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[184]) ).
thf(190,plain,
( ( iext @ uri_rdf_first @ sK3_SY22 @ uri_ex_w )
= $true ),
inference(extcnf_not_neg,[status(thm)],[185]) ).
thf(191,plain,
! [SV10: $i,SV13: $i,SV2: $i] :
( ( ( ic @ SV2 )
= $false )
| ( ( ( sK8_X @ SV13 @ SV10 @ SV2 )
= SV13 )
= $false )
| ( ( icext @ SV2 @ ( sK8_X @ SV13 @ SV10 @ SV2 ) )
= $false )
| ( ( iext @ uri_owl_oneOf @ SV2 @ SV10 )
= $true )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(192,plain,
! [SV17: $i,SV2: $i,SV19: $i,SV24: $i] :
( ( ( ( SV24 != SV19 )
| ( icext @ SV2 @ SV24 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV2 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_first @ SV17 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[187]) ).
thf(193,plain,
! [SV17: $i,SV19: $i,SV25: $i,SV2: $i] :
( ( ( ~ ( icext @ SV2 @ SV25 )
| ( SV25 = SV19 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV2 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_first @ SV17 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(194,plain,
( ( ~ ( iext @ uri_rdfs_domain @ uri_ex_p @ sK1_BNODE_x1 )
| ~ ( iext @ uri_owl_oneOf @ sK1_BNODE_x1 @ sK3_SY22 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(195,plain,
! [SV17: $i,SV2: $i,SV19: $i,SV24: $i] :
( ( ( ( SV24 != SV19 ) )
= $true )
| ( ( icext @ SV2 @ SV24 )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV2 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_first @ SV17 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[192]) ).
thf(196,plain,
! [SV17: $i,SV19: $i,SV25: $i,SV2: $i] :
( ( ( ~ ( icext @ SV2 @ SV25 ) )
= $true )
| ( ( SV25 = SV19 )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV2 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_first @ SV17 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[193]) ).
thf(197,plain,
( ( ~ ( iext @ uri_rdfs_domain @ uri_ex_p @ sK1_BNODE_x1 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[194]) ).
thf(198,plain,
( ( ~ ( iext @ uri_owl_oneOf @ sK1_BNODE_x1 @ sK3_SY22 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[194]) ).
thf(199,plain,
! [SV17: $i,SV2: $i,SV19: $i,SV24: $i] :
( ( ( SV24 = SV19 )
= $false )
| ( ( icext @ SV2 @ SV24 )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV2 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_first @ SV17 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(200,plain,
! [SV17: $i,SV19: $i,SV25: $i,SV2: $i] :
( ( ( icext @ SV2 @ SV25 )
= $false )
| ( ( SV25 = SV19 )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV2 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_first @ SV17 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(201,plain,
( ( iext @ uri_rdfs_domain @ uri_ex_p @ sK1_BNODE_x1 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[197]) ).
thf(202,plain,
( ( iext @ uri_owl_oneOf @ sK1_BNODE_x1 @ sK3_SY22 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[198]) ).
thf(203,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[28,202,201,200,199,191,190,181,179,173,171,159,158,150,144,129,125,111,107,106,100,99,93,59,39]) ).
thf(204,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[203]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWB026+2 : TPTP v8.1.0. Released v5.2.0.
% 0.04/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Wed Jun 1 04:16:30 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.36
% 0.13/0.36 No.of.Axioms: 7
% 0.13/0.36
% 0.13/0.36 Length.of.Defs: 0
% 0.13/0.36
% 0.13/0.36 Contains.Choice.Funs: false
% 0.13/0.37 (rf:0,axioms:7,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:9,loop_count:0,foatp_calls:0,translation:fof_full)..............
% 0.20/0.52
% 0.20/0.52 ********************************
% 0.20/0.52 * All subproblems solved! *
% 0.20/0.52 ********************************
% 0.20/0.52 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:7,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:203,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.36/0.54
% 0.36/0.54 %**** Beginning of derivation protocol ****
% 0.36/0.54 % SZS output start CNFRefutation
% See solution above
% 0.36/0.54
% 0.36/0.54 %**** End of derivation protocol ****
% 0.36/0.54 %**** no. of clauses in derivation: 204 ****
% 0.36/0.54 %**** clause counter: 203 ****
% 0.36/0.54
% 0.36/0.54 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:7,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:203,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------