TSTP Solution File: SWB023+2 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SWB023+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 : n018.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 19:13:31 EDT 2022
% Result : Theorem 0.20s 0.57s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 27
% Syntax : Number of formulae : 376 ( 197 unt; 21 typ; 0 def)
% Number of atoms : 3090 (1004 equ; 0 cnn)
% Maximal formula atoms : 7 ( 8 avg)
% Number of connectives : 6886 (1473 ~;1210 |; 71 &;4118 @)
% ( 10 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 13 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 21 usr; 15 con; 0-3 aty)
% Number of variables : 895 ( 0 ^ 891 !; 4 ?; 895 :)
% 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_o,type,
sK1_BNODE_o: $i ).
thf(tp_sK2_SY14,type,
sK2_SY14: $i ).
thf(tp_sK3_X,type,
sK3_X: $i > $i ).
thf(tp_sK4_SY15,type,
sK4_SY15: $i > $i ).
thf(tp_sK5_SY17,type,
sK5_SY17: $i > $i ).
thf(tp_sK6_X,type,
sK6_X: $i > $i > $i > $i ).
thf(tp_uri_ex_u,type,
uri_ex_u: $i ).
thf(tp_uri_ex_v,type,
uri_ex_v: $i ).
thf(tp_uri_ex_w,type,
uri_ex_w: $i ).
thf(tp_uri_owl_Class,type,
uri_owl_Class: $i ).
thf(tp_uri_owl_FunctionalProperty,type,
uri_owl_FunctionalProperty: $i ).
thf(tp_uri_owl_oneOf,type,
uri_owl_oneOf: $i ).
thf(tp_uri_owl_sameAs,type,
uri_owl_sameAs: $i ).
thf(tp_uri_rdf_first,type,
uri_rdf_first: $i ).
thf(tp_uri_rdf_nil,type,
uri_rdf_nil: $i ).
thf(tp_uri_rdf_rest,type,
uri_rdf_rest: $i ).
thf(tp_uri_rdf_type,type,
uri_rdf_type: $i ).
thf(1,axiom,
? [BNODE_o: $i,BNODE_l: $i] :
( ( iext @ uri_rdf_type @ uri_rdf_first @ uri_owl_FunctionalProperty )
& ( iext @ uri_rdf_type @ uri_ex_w @ BNODE_o )
& ( iext @ uri_rdf_type @ BNODE_o @ uri_owl_Class )
& ( iext @ uri_owl_oneOf @ BNODE_o @ BNODE_l )
& ( iext @ uri_rdf_first @ BNODE_l @ uri_ex_u )
& ( iext @ uri_rdf_first @ BNODE_l @ uri_ex_v )
& ( iext @ uri_rdf_rest @ BNODE_l @ uri_rdf_nil ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_023_Unique_List_Components) ).
thf(2,axiom,
! [X: $i,Y: $i] :
( ( iext @ uri_owl_sameAs @ X @ Y )
<=> ( X = Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_sameas) ).
thf(3,axiom,
! [P: $i] :
( ( icext @ uri_owl_FunctionalProperty @ P )
<=> ( ( ip @ P )
& ! [X: $i,Y1: $i,Y2: $i] :
( ( ( iext @ P @ X @ Y1 )
& ( iext @ P @ X @ Y2 ) )
=> ( Y1 = Y2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_functional) ).
thf(4,axiom,
! [Z: $i,S1: $i,A1: $i] :
( ( ( iext @ uri_rdf_first @ S1 @ A1 )
& ( iext @ uri_rdf_rest @ S1 @ uri_rdf_nil ) )
=> ( ( iext @ uri_owl_oneOf @ Z @ S1 )
<=> ( ( ic @ Z )
& ! [X: $i] :
( ( icext @ Z @ X )
<=> ( X = A1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_enum_class_001) ).
thf(5,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(6,conjecture,
( ( iext @ uri_owl_sameAs @ uri_ex_w @ uri_ex_u )
& ( iext @ uri_owl_sameAs @ uri_ex_w @ uri_ex_v ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_023_Unique_List_Components) ).
thf(7,negated_conjecture,
( ( ( iext @ uri_owl_sameAs @ uri_ex_w @ uri_ex_u )
& ( iext @ uri_owl_sameAs @ uri_ex_w @ uri_ex_v ) )
= $false ),
inference(negate_conjecture,[status(cth)],[6]) ).
thf(8,plain,
( ( ( iext @ uri_owl_sameAs @ uri_ex_w @ uri_ex_u )
& ( iext @ uri_owl_sameAs @ uri_ex_w @ uri_ex_v ) )
= $false ),
inference(unfold_def,[status(thm)],[7]) ).
thf(9,plain,
( ( ? [BNODE_o: $i,BNODE_l: $i] :
( ( iext @ uri_rdf_type @ uri_rdf_first @ uri_owl_FunctionalProperty )
& ( iext @ uri_rdf_type @ uri_ex_w @ BNODE_o )
& ( iext @ uri_rdf_type @ BNODE_o @ uri_owl_Class )
& ( iext @ uri_owl_oneOf @ BNODE_o @ BNODE_l )
& ( iext @ uri_rdf_first @ BNODE_l @ uri_ex_u )
& ( iext @ uri_rdf_first @ BNODE_l @ uri_ex_v )
& ( iext @ uri_rdf_rest @ BNODE_l @ uri_rdf_nil ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(10,plain,
( ( ! [X: $i,Y: $i] :
( ( iext @ uri_owl_sameAs @ X @ Y )
<=> ( X = Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(11,plain,
( ( ! [P: $i] :
( ( icext @ uri_owl_FunctionalProperty @ P )
<=> ( ( ip @ P )
& ! [X: $i,Y1: $i,Y2: $i] :
( ( ( iext @ P @ X @ Y1 )
& ( iext @ P @ X @ Y2 ) )
=> ( Y1 = Y2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(12,plain,
( ( ! [Z: $i,S1: $i,A1: $i] :
( ( ( iext @ uri_rdf_first @ S1 @ A1 )
& ( iext @ uri_rdf_rest @ S1 @ uri_rdf_nil ) )
=> ( ( iext @ uri_owl_oneOf @ Z @ S1 )
<=> ( ( ic @ Z )
& ! [X: $i] :
( ( icext @ Z @ X )
<=> ( X = A1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(13,plain,
( ( ! [X: $i,C: $i] :
( ( iext @ uri_rdf_type @ X @ C )
<=> ( icext @ C @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(14,plain,
( ( iext @ uri_owl_sameAs @ uri_ex_w @ uri_ex_u )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[8]) ).
thf(15,plain,
( ( iext @ uri_owl_sameAs @ uri_ex_w @ uri_ex_v )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[8]) ).
thf(16,plain,
( ( ~ ( iext @ uri_owl_sameAs @ uri_ex_w @ uri_ex_u ) )
= $true ),
inference(polarity_switch,[status(thm)],[14]) ).
thf(17,plain,
( ( ~ ( iext @ uri_owl_sameAs @ uri_ex_w @ uri_ex_v ) )
= $true ),
inference(polarity_switch,[status(thm)],[15]) ).
thf(18,plain,
( ( ( iext @ uri_rdf_type @ uri_rdf_first @ uri_owl_FunctionalProperty )
& ( iext @ uri_rdf_type @ uri_ex_w @ sK1_BNODE_o )
& ( iext @ uri_rdf_type @ sK1_BNODE_o @ uri_owl_Class )
& ( iext @ uri_owl_oneOf @ sK1_BNODE_o @ sK2_SY14 )
& ( iext @ uri_rdf_first @ sK2_SY14 @ uri_ex_u )
& ( iext @ uri_rdf_first @ sK2_SY14 @ uri_ex_v )
& ( iext @ uri_rdf_rest @ sK2_SY14 @ uri_rdf_nil ) )
= $true ),
inference(extcnf_combined,[status(esa)],[9]) ).
thf(19,plain,
( ( ! [X: $i,Y: $i] :
( ( X != Y )
| ( iext @ uri_owl_sameAs @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ~ ( iext @ uri_owl_sameAs @ X @ Y )
| ( X = Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[10]) ).
thf(20,plain,
( ( ! [P: $i] :
( ( ( iext @ P @ ( sK3_X @ P ) @ ( sK4_SY15 @ P ) )
& ( iext @ P @ ( sK3_X @ P ) @ ( sK5_SY17 @ P ) )
& ( ( sK4_SY15 @ P )
!= ( sK5_SY17 @ P ) ) )
| ~ ( ip @ P )
| ( icext @ uri_owl_FunctionalProperty @ P ) )
& ! [P: $i] :
( ~ ( icext @ uri_owl_FunctionalProperty @ P )
| ! [X: $i,Y1: $i,Y2: $i] :
( ~ ( iext @ P @ X @ Y1 )
| ~ ( iext @ P @ X @ Y2 )
| ( Y1 = Y2 ) ) )
& ! [P: $i] :
( ~ ( icext @ uri_owl_FunctionalProperty @ P )
| ( ip @ P ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[11]) ).
thf(21,plain,
( ( ! [Z: $i] :
( ! [S1: $i,A1: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ A1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ uri_rdf_nil )
| ( ( ( ( sK6_X @ A1 @ S1 @ Z )
!= A1 )
| ~ ( icext @ Z @ ( sK6_X @ A1 @ S1 @ Z ) ) )
& ( ( ( sK6_X @ A1 @ S1 @ Z )
= A1 )
| ( icext @ Z @ ( sK6_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)],[12]) ).
thf(22,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)],[13]) ).
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(copy,[status(thm)],[22]) ).
thf(24,plain,
( ( ! [Z: $i] :
( ! [S1: $i,A1: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ A1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ uri_rdf_nil )
| ( ( ( ( sK6_X @ A1 @ S1 @ Z )
!= A1 )
| ~ ( icext @ Z @ ( sK6_X @ A1 @ S1 @ Z ) ) )
& ( ( ( sK6_X @ A1 @ S1 @ Z )
= A1 )
| ( icext @ Z @ ( sK6_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(25,plain,
( ( ! [P: $i] :
( ( ( iext @ P @ ( sK3_X @ P ) @ ( sK4_SY15 @ P ) )
& ( iext @ P @ ( sK3_X @ P ) @ ( sK5_SY17 @ P ) )
& ( ( sK4_SY15 @ P )
!= ( sK5_SY17 @ P ) ) )
| ~ ( ip @ P )
| ( icext @ uri_owl_FunctionalProperty @ P ) )
& ! [P: $i] :
( ~ ( icext @ uri_owl_FunctionalProperty @ P )
| ! [X: $i,Y1: $i,Y2: $i] :
( ~ ( iext @ P @ X @ Y1 )
| ~ ( iext @ P @ X @ Y2 )
| ( Y1 = Y2 ) ) )
& ! [P: $i] :
( ~ ( icext @ uri_owl_FunctionalProperty @ P )
| ( ip @ P ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(26,plain,
( ( ! [X: $i,Y: $i] :
( ( X != Y )
| ( iext @ uri_owl_sameAs @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ~ ( iext @ uri_owl_sameAs @ X @ Y )
| ( X = Y ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(27,plain,
( ( ( iext @ uri_rdf_type @ uri_rdf_first @ uri_owl_FunctionalProperty )
& ( iext @ uri_rdf_type @ uri_ex_w @ sK1_BNODE_o )
& ( iext @ uri_rdf_type @ sK1_BNODE_o @ uri_owl_Class )
& ( iext @ uri_owl_oneOf @ sK1_BNODE_o @ sK2_SY14 )
& ( iext @ uri_rdf_first @ sK2_SY14 @ uri_ex_u )
& ( iext @ uri_rdf_first @ sK2_SY14 @ uri_ex_v )
& ( iext @ uri_rdf_rest @ sK2_SY14 @ uri_rdf_nil ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(28,plain,
( ( ~ ( iext @ uri_owl_sameAs @ uri_ex_w @ uri_ex_u ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(29,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( iext @ uri_owl_sameAs @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_sameAs @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(30,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_rdf_first @ uri_owl_FunctionalProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_BNODE_o ) )
| ~ ( iext @ uri_rdf_type @ sK1_BNODE_o @ uri_owl_Class ) )
| ~ ( iext @ uri_owl_oneOf @ sK1_BNODE_o @ sK2_SY14 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY14 @ uri_ex_u ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY14 @ uri_ex_v ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY14 @ uri_rdf_nil ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(31,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( iext @ uri_rdf_first @ SX1 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SX1 @ uri_rdf_nil )
| ~ ( ~ ( ( ( sK6_X @ SX2 @ SX1 @ SX0 )
!= SX2 )
| ~ ( icext @ SX0 @ ( sK6_X @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ( ( sK6_X @ SX2 @ SX1 @ SX0 )
= SX2 )
| ( icext @ SX0 @ ( sK6_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)],[24]) ).
thf(32,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( ~ ~ ( ~ ( iext @ SX0 @ ( sK3_X @ SX0 ) @ ( sK4_SY15 @ SX0 ) )
| ~ ( iext @ SX0 @ ( sK3_X @ SX0 ) @ ( sK5_SY17 @ SX0 ) ) )
| ~ ( ( ( sK4_SY15 @ SX0 )
!= ( sK5_SY17 @ SX0 ) ) ) )
| ~ ( ip @ SX0 )
| ( icext @ uri_owl_FunctionalProperty @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( icext @ uri_owl_FunctionalProperty @ SX0 )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ( iext @ SX0 @ SX1 @ SX2 )
| ~ ( iext @ SX0 @ SX1 @ SX3 )
| ( SX2 = SX3 ) ) )
| ~ ! [SX0: $i] :
( ~ ( icext @ uri_owl_FunctionalProperty @ SX0 )
| ( ip @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(33,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)],[23]) ).
thf(34,plain,
( ( iext @ uri_owl_sameAs @ uri_ex_w @ uri_ex_u )
= $false ),
inference(extcnf_not_pos,[status(thm)],[28]) ).
thf(35,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( iext @ uri_owl_sameAs @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_sameAs @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(36,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_rdf_first @ uri_owl_FunctionalProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_BNODE_o ) )
| ~ ( iext @ uri_rdf_type @ sK1_BNODE_o @ uri_owl_Class ) )
| ~ ( iext @ uri_owl_oneOf @ sK1_BNODE_o @ sK2_SY14 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY14 @ uri_ex_u ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY14 @ uri_ex_v ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY14 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(37,plain,
! [SV1: $i] :
( ( ~ ( ~ ! [SY18: $i,SY19: $i] :
( ~ ( iext @ uri_rdf_first @ SY18 @ SY19 )
| ~ ( iext @ uri_rdf_rest @ SY18 @ uri_rdf_nil )
| ~ ( ~ ( ( ( sK6_X @ SY19 @ SY18 @ SV1 )
!= SY19 )
| ~ ( icext @ SV1 @ ( sK6_X @ SY19 @ SY18 @ SV1 ) ) )
| ~ ( ( ( sK6_X @ SY19 @ SY18 @ SV1 )
= SY19 )
| ( icext @ SV1 @ ( sK6_X @ SY19 @ SY18 @ SV1 ) ) ) )
| ~ ( ic @ SV1 )
| ( iext @ uri_owl_oneOf @ SV1 @ SY18 ) )
| ~ ~ ( ~ ! [SY20: $i,SY21: $i] :
( ~ ( iext @ uri_rdf_first @ SY20 @ SY21 )
| ~ ( iext @ uri_rdf_rest @ SY20 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV1 @ SY20 )
| ~ ( ~ ! [SY22: $i] :
( ( SY22 != SY21 )
| ( icext @ SV1 @ SY22 ) )
| ~ ! [SY23: $i] :
( ~ ( icext @ SV1 @ SY23 )
| ( SY23 = SY21 ) ) ) )
| ~ ! [SY24: $i] :
( ! [SX2: $i] :
~ ( iext @ uri_rdf_first @ SY24 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SY24 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV1 @ SY24 )
| ( ic @ SV1 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(38,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ~ ~ ( ~ ( iext @ SX0 @ ( sK3_X @ SX0 ) @ ( sK4_SY15 @ SX0 ) )
| ~ ( iext @ SX0 @ ( sK3_X @ SX0 ) @ ( sK5_SY17 @ SX0 ) ) )
| ~ ( ( ( sK4_SY15 @ SX0 )
!= ( sK5_SY17 @ SX0 ) ) ) )
| ~ ( ip @ SX0 )
| ( icext @ uri_owl_FunctionalProperty @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( icext @ uri_owl_FunctionalProperty @ SX0 )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ( iext @ SX0 @ SX1 @ SX2 )
| ~ ( iext @ SX0 @ SX1 @ SX3 )
| ( SX2 = SX3 ) ) )
| ~ ! [SX0: $i] :
( ~ ( icext @ uri_owl_FunctionalProperty @ SX0 )
| ( ip @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(39,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)],[33]) ).
thf(40,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( iext @ uri_owl_sameAs @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[35]) ).
thf(41,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_sameAs @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[35]) ).
thf(42,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_rdf_first @ uri_owl_FunctionalProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_BNODE_o ) )
| ~ ( iext @ uri_rdf_type @ sK1_BNODE_o @ uri_owl_Class ) )
| ~ ( iext @ uri_owl_oneOf @ sK1_BNODE_o @ sK2_SY14 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY14 @ uri_ex_u ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY14 @ uri_ex_v ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[36]) ).
thf(43,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK2_SY14 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[36]) ).
thf(44,plain,
! [SV1: $i] :
( ( ~ ! [SY18: $i,SY19: $i] :
( ~ ( iext @ uri_rdf_first @ SY18 @ SY19 )
| ~ ( iext @ uri_rdf_rest @ SY18 @ uri_rdf_nil )
| ~ ( ~ ( ( ( sK6_X @ SY19 @ SY18 @ SV1 )
!= SY19 )
| ~ ( icext @ SV1 @ ( sK6_X @ SY19 @ SY18 @ SV1 ) ) )
| ~ ( ( ( sK6_X @ SY19 @ SY18 @ SV1 )
= SY19 )
| ( icext @ SV1 @ ( sK6_X @ SY19 @ SY18 @ SV1 ) ) ) )
| ~ ( ic @ SV1 )
| ( iext @ uri_owl_oneOf @ SV1 @ SY18 ) )
| ~ ~ ( ~ ! [SY20: $i,SY21: $i] :
( ~ ( iext @ uri_rdf_first @ SY20 @ SY21 )
| ~ ( iext @ uri_rdf_rest @ SY20 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV1 @ SY20 )
| ~ ( ~ ! [SY22: $i] :
( ( SY22 != SY21 )
| ( icext @ SV1 @ SY22 ) )
| ~ ! [SY23: $i] :
( ~ ( icext @ SV1 @ SY23 )
| ( SY23 = SY21 ) ) ) )
| ~ ! [SY24: $i] :
( ! [SX2: $i] :
~ ( iext @ uri_rdf_first @ SY24 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SY24 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV1 @ SY24 )
| ( ic @ SV1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(45,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ~ ~ ( ~ ( iext @ SX0 @ ( sK3_X @ SX0 ) @ ( sK4_SY15 @ SX0 ) )
| ~ ( iext @ SX0 @ ( sK3_X @ SX0 ) @ ( sK5_SY17 @ SX0 ) ) )
| ~ ( ( ( sK4_SY15 @ SX0 )
!= ( sK5_SY17 @ SX0 ) ) ) )
| ~ ( ip @ SX0 )
| ( icext @ uri_owl_FunctionalProperty @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(46,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( icext @ uri_owl_FunctionalProperty @ SX0 )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ( iext @ SX0 @ SX1 @ SX2 )
| ~ ( iext @ SX0 @ SX1 @ SX3 )
| ( SX2 = SX3 ) ) )
| ~ ! [SX0: $i] :
( ~ ( icext @ uri_owl_FunctionalProperty @ SX0 )
| ( ip @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(47,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( icext @ SX1 @ SX0 )
| ( iext @ uri_rdf_type @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[39]) ).
thf(48,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
| ( icext @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[39]) ).
thf(49,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( iext @ uri_owl_sameAs @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[40]) ).
thf(50,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_sameAs @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[41]) ).
thf(51,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_rdf_first @ uri_owl_FunctionalProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_BNODE_o ) )
| ~ ( iext @ uri_rdf_type @ sK1_BNODE_o @ uri_owl_Class ) )
| ~ ( iext @ uri_owl_oneOf @ sK1_BNODE_o @ sK2_SY14 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY14 @ uri_ex_u ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY14 @ uri_ex_v ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[42]) ).
thf(52,plain,
( ( iext @ uri_rdf_rest @ sK2_SY14 @ uri_rdf_nil )
= $true ),
inference(extcnf_not_neg,[status(thm)],[43]) ).
thf(53,plain,
! [SV1: $i] :
( ( ~ ! [SY18: $i,SY19: $i] :
( ~ ( iext @ uri_rdf_first @ SY18 @ SY19 )
| ~ ( iext @ uri_rdf_rest @ SY18 @ uri_rdf_nil )
| ~ ( ~ ( ( ( sK6_X @ SY19 @ SY18 @ SV1 )
!= SY19 )
| ~ ( icext @ SV1 @ ( sK6_X @ SY19 @ SY18 @ SV1 ) ) )
| ~ ( ( ( sK6_X @ SY19 @ SY18 @ SV1 )
= SY19 )
| ( icext @ SV1 @ ( sK6_X @ SY19 @ SY18 @ SV1 ) ) ) )
| ~ ( ic @ SV1 )
| ( iext @ uri_owl_oneOf @ SV1 @ SY18 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[44]) ).
thf(54,plain,
! [SV1: $i] :
( ( ~ ~ ( ~ ! [SY20: $i,SY21: $i] :
( ~ ( iext @ uri_rdf_first @ SY20 @ SY21 )
| ~ ( iext @ uri_rdf_rest @ SY20 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV1 @ SY20 )
| ~ ( ~ ! [SY22: $i] :
( ( SY22 != SY21 )
| ( icext @ SV1 @ SY22 ) )
| ~ ! [SY23: $i] :
( ~ ( icext @ SV1 @ SY23 )
| ( SY23 = SY21 ) ) ) )
| ~ ! [SY24: $i] :
( ! [SX2: $i] :
~ ( iext @ uri_rdf_first @ SY24 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SY24 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV1 @ SY24 )
| ( ic @ SV1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[44]) ).
thf(55,plain,
( ( ! [SX0: $i] :
( ~ ( ~ ~ ( ~ ( iext @ SX0 @ ( sK3_X @ SX0 ) @ ( sK4_SY15 @ SX0 ) )
| ~ ( iext @ SX0 @ ( sK3_X @ SX0 ) @ ( sK5_SY17 @ SX0 ) ) )
| ~ ( ( ( sK4_SY15 @ SX0 )
!= ( sK5_SY17 @ SX0 ) ) ) )
| ~ ( ip @ SX0 )
| ( icext @ uri_owl_FunctionalProperty @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[45]) ).
thf(56,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( icext @ uri_owl_FunctionalProperty @ SX0 )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ( iext @ SX0 @ SX1 @ SX2 )
| ~ ( iext @ SX0 @ SX1 @ SX3 )
| ( SX2 = SX3 ) ) )
| ~ ! [SX0: $i] :
( ~ ( icext @ uri_owl_FunctionalProperty @ SX0 )
| ( ip @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[46]) ).
thf(57,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( icext @ SX1 @ SX0 )
| ( iext @ uri_rdf_type @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[47]) ).
thf(58,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
| ( icext @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[48]) ).
thf(59,plain,
! [SV2: $i] :
( ( ! [SY26: $i] :
( ( SV2 != SY26 )
| ( iext @ uri_owl_sameAs @ SV2 @ SY26 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(60,plain,
! [SV3: $i] :
( ( ! [SY27: $i] :
( ~ ( iext @ uri_owl_sameAs @ SV3 @ SY27 )
| ( SV3 = SY27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(61,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_rdf_first @ uri_owl_FunctionalProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_BNODE_o ) )
| ~ ( iext @ uri_rdf_type @ sK1_BNODE_o @ uri_owl_Class ) )
| ~ ( iext @ uri_owl_oneOf @ sK1_BNODE_o @ sK2_SY14 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY14 @ uri_ex_u ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY14 @ uri_ex_v ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(62,plain,
! [SV1: $i] :
( ( ! [SY18: $i,SY19: $i] :
( ~ ( iext @ uri_rdf_first @ SY18 @ SY19 )
| ~ ( iext @ uri_rdf_rest @ SY18 @ uri_rdf_nil )
| ~ ( ~ ( ( ( sK6_X @ SY19 @ SY18 @ SV1 )
!= SY19 )
| ~ ( icext @ SV1 @ ( sK6_X @ SY19 @ SY18 @ SV1 ) ) )
| ~ ( ( ( sK6_X @ SY19 @ SY18 @ SV1 )
= SY19 )
| ( icext @ SV1 @ ( sK6_X @ SY19 @ SY18 @ SV1 ) ) ) )
| ~ ( ic @ SV1 )
| ( iext @ uri_owl_oneOf @ SV1 @ SY18 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[53]) ).
thf(63,plain,
! [SV1: $i] :
( ( ~ ( ~ ! [SY20: $i,SY21: $i] :
( ~ ( iext @ uri_rdf_first @ SY20 @ SY21 )
| ~ ( iext @ uri_rdf_rest @ SY20 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV1 @ SY20 )
| ~ ( ~ ! [SY22: $i] :
( ( SY22 != SY21 )
| ( icext @ SV1 @ SY22 ) )
| ~ ! [SY23: $i] :
( ~ ( icext @ SV1 @ SY23 )
| ( SY23 = SY21 ) ) ) )
| ~ ! [SY24: $i] :
( ! [SX2: $i] :
~ ( iext @ uri_rdf_first @ SY24 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SY24 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV1 @ SY24 )
| ( ic @ SV1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[54]) ).
thf(64,plain,
! [SV4: $i] :
( ( ~ ( ~ ~ ( ~ ( iext @ SV4 @ ( sK3_X @ SV4 ) @ ( sK4_SY15 @ SV4 ) )
| ~ ( iext @ SV4 @ ( sK3_X @ SV4 ) @ ( sK5_SY17 @ SV4 ) ) )
| ~ ( ( ( sK4_SY15 @ SV4 )
!= ( sK5_SY17 @ SV4 ) ) ) )
| ~ ( ip @ SV4 )
| ( icext @ uri_owl_FunctionalProperty @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(65,plain,
( ( ~ ! [SX0: $i] :
( ~ ( icext @ uri_owl_FunctionalProperty @ SX0 )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ( iext @ SX0 @ SX1 @ SX2 )
| ~ ( iext @ SX0 @ SX1 @ SX3 )
| ( SX2 = SX3 ) ) )
| ~ ! [SX0: $i] :
( ~ ( icext @ uri_owl_FunctionalProperty @ SX0 )
| ( ip @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(66,plain,
! [SV5: $i] :
( ( ! [SY28: $i] :
( ~ ( icext @ SY28 @ SV5 )
| ( iext @ uri_rdf_type @ SV5 @ SY28 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(67,plain,
! [SV6: $i] :
( ( ! [SY29: $i] :
( ~ ( iext @ uri_rdf_type @ SV6 @ SY29 )
| ( icext @ SY29 @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(68,plain,
! [SV7: $i,SV2: $i] :
( ( ( SV2 != SV7 )
| ( iext @ uri_owl_sameAs @ SV2 @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(69,plain,
! [SV8: $i,SV3: $i] :
( ( ~ ( iext @ uri_owl_sameAs @ SV3 @ SV8 )
| ( SV3 = SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(70,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_rdf_first @ uri_owl_FunctionalProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_BNODE_o ) )
| ~ ( iext @ uri_rdf_type @ sK1_BNODE_o @ uri_owl_Class ) )
| ~ ( iext @ uri_owl_oneOf @ sK1_BNODE_o @ sK2_SY14 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY14 @ uri_ex_u ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[61]) ).
thf(71,plain,
( ( ~ ( iext @ uri_rdf_first @ sK2_SY14 @ uri_ex_v ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[61]) ).
thf(72,plain,
! [SV1: $i,SV9: $i] :
( ( ! [SY30: $i] :
( ~ ( iext @ uri_rdf_first @ SV9 @ SY30 )
| ~ ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil )
| ~ ( ~ ( ( ( sK6_X @ SY30 @ SV9 @ SV1 )
!= SY30 )
| ~ ( icext @ SV1 @ ( sK6_X @ SY30 @ SV9 @ SV1 ) ) )
| ~ ( ( ( sK6_X @ SY30 @ SV9 @ SV1 )
= SY30 )
| ( icext @ SV1 @ ( sK6_X @ SY30 @ SV9 @ SV1 ) ) ) )
| ~ ( ic @ SV1 )
| ( iext @ uri_owl_oneOf @ SV1 @ SV9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(73,plain,
! [SV1: $i] :
( ( ~ ! [SY20: $i,SY21: $i] :
( ~ ( iext @ uri_rdf_first @ SY20 @ SY21 )
| ~ ( iext @ uri_rdf_rest @ SY20 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV1 @ SY20 )
| ~ ( ~ ! [SY22: $i] :
( ( SY22 != SY21 )
| ( icext @ SV1 @ SY22 ) )
| ~ ! [SY23: $i] :
( ~ ( icext @ SV1 @ SY23 )
| ( SY23 = SY21 ) ) ) )
| ~ ! [SY24: $i] :
( ! [SX2: $i] :
~ ( iext @ uri_rdf_first @ SY24 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SY24 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV1 @ SY24 )
| ( ic @ SV1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(74,plain,
! [SV4: $i] :
( ( ( ~ ( ~ ~ ( ~ ( iext @ SV4 @ ( sK3_X @ SV4 ) @ ( sK4_SY15 @ SV4 ) )
| ~ ( iext @ SV4 @ ( sK3_X @ SV4 ) @ ( sK5_SY17 @ SV4 ) ) )
| ~ ( ( ( sK4_SY15 @ SV4 )
!= ( sK5_SY17 @ SV4 ) ) ) )
| ~ ( ip @ SV4 ) )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[64]) ).
thf(75,plain,
( ( ~ ! [SX0: $i] :
( ~ ( icext @ uri_owl_FunctionalProperty @ SX0 )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ( iext @ SX0 @ SX1 @ SX2 )
| ~ ( iext @ SX0 @ SX1 @ SX3 )
| ( SX2 = SX3 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[65]) ).
thf(76,plain,
( ( ~ ! [SX0: $i] :
( ~ ( icext @ uri_owl_FunctionalProperty @ SX0 )
| ( ip @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[65]) ).
thf(77,plain,
! [SV5: $i,SV10: $i] :
( ( ~ ( icext @ SV10 @ SV5 )
| ( iext @ uri_rdf_type @ SV5 @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(78,plain,
! [SV11: $i,SV6: $i] :
( ( ~ ( iext @ uri_rdf_type @ SV6 @ SV11 )
| ( icext @ SV11 @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(79,plain,
! [SV7: $i,SV2: $i] :
( ( ( ( SV2 != SV7 ) )
= $true )
| ( ( iext @ uri_owl_sameAs @ SV2 @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[68]) ).
thf(80,plain,
! [SV8: $i,SV3: $i] :
( ( ( ~ ( iext @ uri_owl_sameAs @ SV3 @ SV8 ) )
= $true )
| ( ( SV3 = SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[69]) ).
thf(81,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_rdf_first @ uri_owl_FunctionalProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_BNODE_o ) )
| ~ ( iext @ uri_rdf_type @ sK1_BNODE_o @ uri_owl_Class ) )
| ~ ( iext @ uri_owl_oneOf @ sK1_BNODE_o @ sK2_SY14 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY14 @ uri_ex_u ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[70]) ).
thf(82,plain,
( ( iext @ uri_rdf_first @ sK2_SY14 @ uri_ex_v )
= $true ),
inference(extcnf_not_neg,[status(thm)],[71]) ).
thf(83,plain,
! [SV1: $i,SV12: $i,SV9: $i] :
( ( ~ ( iext @ uri_rdf_first @ SV9 @ SV12 )
| ~ ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil )
| ~ ( ~ ( ( ( sK6_X @ SV12 @ SV9 @ SV1 )
!= SV12 )
| ~ ( icext @ SV1 @ ( sK6_X @ SV12 @ SV9 @ SV1 ) ) )
| ~ ( ( ( sK6_X @ SV12 @ SV9 @ SV1 )
= SV12 )
| ( icext @ SV1 @ ( sK6_X @ SV12 @ SV9 @ SV1 ) ) ) )
| ~ ( ic @ SV1 )
| ( iext @ uri_owl_oneOf @ SV1 @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(84,plain,
! [SV1: $i] :
( ( ~ ! [SY20: $i,SY21: $i] :
( ~ ( iext @ uri_rdf_first @ SY20 @ SY21 )
| ~ ( iext @ uri_rdf_rest @ SY20 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV1 @ SY20 )
| ~ ( ~ ! [SY22: $i] :
( ( SY22 != SY21 )
| ( icext @ SV1 @ SY22 ) )
| ~ ! [SY23: $i] :
( ~ ( icext @ SV1 @ SY23 )
| ( SY23 = SY21 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(85,plain,
! [SV1: $i] :
( ( ~ ! [SY24: $i] :
( ! [SX2: $i] :
~ ( iext @ uri_rdf_first @ SY24 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SY24 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV1 @ SY24 )
| ( ic @ SV1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(86,plain,
! [SV4: $i] :
( ( ( ~ ( ~ ~ ( ~ ( iext @ SV4 @ ( sK3_X @ SV4 ) @ ( sK4_SY15 @ SV4 ) )
| ~ ( iext @ SV4 @ ( sK3_X @ SV4 ) @ ( sK5_SY17 @ SV4 ) ) )
| ~ ( ( ( sK4_SY15 @ SV4 )
!= ( sK5_SY17 @ SV4 ) ) ) ) )
= $true )
| ( ( ~ ( ip @ SV4 ) )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[74]) ).
thf(87,plain,
( ( ! [SX0: $i] :
( ~ ( icext @ uri_owl_FunctionalProperty @ SX0 )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ( iext @ SX0 @ SX1 @ SX2 )
| ~ ( iext @ SX0 @ SX1 @ SX3 )
| ( SX2 = SX3 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[75]) ).
thf(88,plain,
( ( ! [SX0: $i] :
( ~ ( icext @ uri_owl_FunctionalProperty @ SX0 )
| ( ip @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[76]) ).
thf(89,plain,
! [SV5: $i,SV10: $i] :
( ( ( ~ ( icext @ SV10 @ SV5 ) )
= $true )
| ( ( iext @ uri_rdf_type @ SV5 @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[77]) ).
thf(90,plain,
! [SV11: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_type @ SV6 @ SV11 ) )
= $true )
| ( ( icext @ SV11 @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[78]) ).
thf(91,plain,
! [SV7: $i,SV2: $i] :
( ( ( SV2 = SV7 )
= $false )
| ( ( iext @ uri_owl_sameAs @ SV2 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(92,plain,
! [SV8: $i,SV3: $i] :
( ( ( iext @ uri_owl_sameAs @ SV3 @ SV8 )
= $false )
| ( ( SV3 = SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(93,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_rdf_first @ uri_owl_FunctionalProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_BNODE_o ) )
| ~ ( iext @ uri_rdf_type @ sK1_BNODE_o @ uri_owl_Class ) )
| ~ ( iext @ uri_owl_oneOf @ sK1_BNODE_o @ sK2_SY14 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY14 @ uri_ex_u ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(94,plain,
! [SV1: $i,SV12: $i,SV9: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV9 @ SV12 )
| ~ ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ( ( sK6_X @ SV12 @ SV9 @ SV1 )
!= SV12 )
| ~ ( icext @ SV1 @ ( sK6_X @ SV12 @ SV9 @ SV1 ) ) )
| ~ ( ( ( sK6_X @ SV12 @ SV9 @ SV1 )
= SV12 )
| ( icext @ SV1 @ ( sK6_X @ SV12 @ SV9 @ SV1 ) ) ) )
| ~ ( ic @ SV1 )
| ( iext @ uri_owl_oneOf @ SV1 @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[83]) ).
thf(95,plain,
! [SV1: $i] :
( ( ! [SY20: $i,SY21: $i] :
( ~ ( iext @ uri_rdf_first @ SY20 @ SY21 )
| ~ ( iext @ uri_rdf_rest @ SY20 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV1 @ SY20 )
| ~ ( ~ ! [SY22: $i] :
( ( SY22 != SY21 )
| ( icext @ SV1 @ SY22 ) )
| ~ ! [SY23: $i] :
( ~ ( icext @ SV1 @ SY23 )
| ( SY23 = SY21 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[84]) ).
thf(96,plain,
! [SV1: $i] :
( ( ! [SY24: $i] :
( ! [SX2: $i] :
~ ( iext @ uri_rdf_first @ SY24 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SY24 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV1 @ SY24 )
| ( ic @ SV1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[85]) ).
thf(97,plain,
! [SV4: $i] :
( ( ( ~ ~ ( ~ ( iext @ SV4 @ ( sK3_X @ SV4 ) @ ( sK4_SY15 @ SV4 ) )
| ~ ( iext @ SV4 @ ( sK3_X @ SV4 ) @ ( sK5_SY17 @ SV4 ) ) )
| ~ ( ( ( sK4_SY15 @ SV4 )
!= ( sK5_SY17 @ SV4 ) ) ) )
= $false )
| ( ( ~ ( ip @ SV4 ) )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[86]) ).
thf(98,plain,
! [SV13: $i] :
( ( ~ ( icext @ uri_owl_FunctionalProperty @ SV13 )
| ! [SY31: $i,SY32: $i,SY33: $i] :
( ~ ( iext @ SV13 @ SY31 @ SY32 )
| ~ ( iext @ SV13 @ SY31 @ SY33 )
| ( SY32 = SY33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(99,plain,
! [SV14: $i] :
( ( ~ ( icext @ uri_owl_FunctionalProperty @ SV14 )
| ( ip @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(100,plain,
! [SV5: $i,SV10: $i] :
( ( ( icext @ SV10 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_type @ SV5 @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(101,plain,
! [SV11: $i,SV6: $i] :
( ( ( iext @ uri_rdf_type @ SV6 @ SV11 )
= $false )
| ( ( icext @ SV11 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(102,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_rdf_first @ uri_owl_FunctionalProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_BNODE_o ) )
| ~ ( iext @ uri_rdf_type @ sK1_BNODE_o @ uri_owl_Class ) )
| ~ ( iext @ uri_owl_oneOf @ sK1_BNODE_o @ sK2_SY14 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[93]) ).
thf(103,plain,
( ( ~ ( iext @ uri_rdf_first @ sK2_SY14 @ uri_ex_u ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[93]) ).
thf(104,plain,
! [SV1: $i,SV12: $i,SV9: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV9 @ SV12 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ( ( sK6_X @ SV12 @ SV9 @ SV1 )
!= SV12 )
| ~ ( icext @ SV1 @ ( sK6_X @ SV12 @ SV9 @ SV1 ) ) )
| ~ ( ( ( sK6_X @ SV12 @ SV9 @ SV1 )
= SV12 )
| ( icext @ SV1 @ ( sK6_X @ SV12 @ SV9 @ SV1 ) ) ) )
| ~ ( ic @ SV1 )
| ( iext @ uri_owl_oneOf @ SV1 @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[94]) ).
thf(105,plain,
! [SV1: $i,SV15: $i] :
( ( ! [SY34: $i] :
( ~ ( iext @ uri_rdf_first @ SV15 @ SY34 )
| ~ ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV1 @ SV15 )
| ~ ( ~ ! [SY22: $i] :
( ( SY22 != SY34 )
| ( icext @ SV1 @ SY22 ) )
| ~ ! [SY23: $i] :
( ~ ( icext @ SV1 @ SY23 )
| ( SY23 = SY34 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(106,plain,
! [SV1: $i,SV16: $i] :
( ( ! [SY37: $i] :
~ ( iext @ uri_rdf_first @ SV16 @ SY37 )
| ~ ( iext @ uri_rdf_rest @ SV16 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV1 @ SV16 )
| ( ic @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(107,plain,
! [SV4: $i] :
( ( ( ~ ~ ( ~ ( iext @ SV4 @ ( sK3_X @ SV4 ) @ ( sK4_SY15 @ SV4 ) )
| ~ ( iext @ SV4 @ ( sK3_X @ SV4 ) @ ( sK5_SY17 @ SV4 ) ) ) )
= $false )
| ( ( ~ ( ip @ SV4 ) )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[97]) ).
thf(108,plain,
! [SV4: $i] :
( ( ( ~ ( ( ( sK4_SY15 @ SV4 )
!= ( sK5_SY17 @ SV4 ) ) ) )
= $false )
| ( ( ~ ( ip @ SV4 ) )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[97]) ).
thf(109,plain,
! [SV13: $i] :
( ( ( ~ ( icext @ uri_owl_FunctionalProperty @ SV13 ) )
= $true )
| ( ( ! [SY31: $i,SY32: $i,SY33: $i] :
( ~ ( iext @ SV13 @ SY31 @ SY32 )
| ~ ( iext @ SV13 @ SY31 @ SY33 )
| ( SY32 = SY33 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[98]) ).
thf(110,plain,
! [SV14: $i] :
( ( ( ~ ( icext @ uri_owl_FunctionalProperty @ SV14 ) )
= $true )
| ( ( ip @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[99]) ).
thf(111,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_rdf_first @ uri_owl_FunctionalProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_BNODE_o ) )
| ~ ( iext @ uri_rdf_type @ sK1_BNODE_o @ uri_owl_Class ) )
| ~ ( iext @ uri_owl_oneOf @ sK1_BNODE_o @ sK2_SY14 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[102]) ).
thf(112,plain,
( ( iext @ uri_rdf_first @ sK2_SY14 @ uri_ex_u )
= $true ),
inference(extcnf_not_neg,[status(thm)],[103]) ).
thf(113,plain,
! [SV1: $i,SV12: $i,SV9: $i] :
( ( ( iext @ uri_rdf_first @ SV9 @ SV12 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ( ( sK6_X @ SV12 @ SV9 @ SV1 )
!= SV12 )
| ~ ( icext @ SV1 @ ( sK6_X @ SV12 @ SV9 @ SV1 ) ) )
| ~ ( ( ( sK6_X @ SV12 @ SV9 @ SV1 )
= SV12 )
| ( icext @ SV1 @ ( sK6_X @ SV12 @ SV9 @ SV1 ) ) ) )
| ~ ( ic @ SV1 )
| ( iext @ uri_owl_oneOf @ SV1 @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(114,plain,
! [SV1: $i,SV17: $i,SV15: $i] :
( ( ~ ( iext @ uri_rdf_first @ SV15 @ SV17 )
| ~ ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV1 @ SV15 )
| ~ ( ~ ! [SY38: $i] :
( ( SY38 != SV17 )
| ( icext @ SV1 @ SY38 ) )
| ~ ! [SY39: $i] :
( ~ ( icext @ SV1 @ SY39 )
| ( SY39 = SV17 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(115,plain,
! [SV1: $i,SV16: $i] :
( ( ( ! [SY37: $i] :
~ ( iext @ uri_rdf_first @ SV16 @ SY37 )
| ~ ( iext @ uri_rdf_rest @ SV16 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV1 @ SV16 )
| ( ic @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[106]) ).
thf(116,plain,
! [SV4: $i] :
( ( ( ~ ( ~ ( iext @ SV4 @ ( sK3_X @ SV4 ) @ ( sK4_SY15 @ SV4 ) )
| ~ ( iext @ SV4 @ ( sK3_X @ SV4 ) @ ( sK5_SY17 @ SV4 ) ) ) )
= $true )
| ( ( ~ ( ip @ SV4 ) )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[107]) ).
thf(117,plain,
! [SV4: $i] :
( ( ( ( ( sK4_SY15 @ SV4 )
!= ( sK5_SY17 @ SV4 ) ) )
= $true )
| ( ( ~ ( ip @ SV4 ) )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[108]) ).
thf(118,plain,
! [SV13: $i] :
( ( ( icext @ uri_owl_FunctionalProperty @ SV13 )
= $false )
| ( ( ! [SY31: $i,SY32: $i,SY33: $i] :
( ~ ( iext @ SV13 @ SY31 @ SY32 )
| ~ ( iext @ SV13 @ SY31 @ SY33 )
| ( SY32 = SY33 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[109]) ).
thf(119,plain,
! [SV14: $i] :
( ( ( icext @ uri_owl_FunctionalProperty @ SV14 )
= $false )
| ( ( ip @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(120,plain,
( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_rdf_first @ uri_owl_FunctionalProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_BNODE_o ) )
| ~ ( iext @ uri_rdf_type @ sK1_BNODE_o @ uri_owl_Class ) )
| ~ ( iext @ uri_owl_oneOf @ sK1_BNODE_o @ sK2_SY14 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(121,plain,
! [SV1: $i,SV12: $i,SV9: $i] :
( ( ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_first @ SV9 @ SV12 )
= $false )
| ( ( ~ ( ~ ( ( ( sK6_X @ SV12 @ SV9 @ SV1 )
!= SV12 )
| ~ ( icext @ SV1 @ ( sK6_X @ SV12 @ SV9 @ SV1 ) ) )
| ~ ( ( ( sK6_X @ SV12 @ SV9 @ SV1 )
= SV12 )
| ( icext @ SV1 @ ( sK6_X @ SV12 @ SV9 @ SV1 ) ) ) )
| ~ ( ic @ SV1 )
| ( iext @ uri_owl_oneOf @ SV1 @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(122,plain,
! [SV1: $i,SV17: $i,SV15: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV15 @ SV17 )
| ~ ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV1 @ SV15 )
| ~ ( ~ ! [SY38: $i] :
( ( SY38 != SV17 )
| ( icext @ SV1 @ SY38 ) )
| ~ ! [SY39: $i] :
( ~ ( icext @ SV1 @ SY39 )
| ( SY39 = SV17 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[114]) ).
thf(123,plain,
! [SV1: $i,SV16: $i] :
( ( ( ! [SY37: $i] :
~ ( iext @ uri_rdf_first @ SV16 @ SY37 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV16 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV1 @ SV16 )
| ( ic @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[115]) ).
thf(124,plain,
! [SV4: $i] :
( ( ( ~ ( iext @ SV4 @ ( sK3_X @ SV4 ) @ ( sK4_SY15 @ SV4 ) )
| ~ ( iext @ SV4 @ ( sK3_X @ SV4 ) @ ( sK5_SY17 @ SV4 ) ) )
= $false )
| ( ( ~ ( ip @ SV4 ) )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(125,plain,
! [SV4: $i] :
( ( ( ( sK4_SY15 @ SV4 )
= ( sK5_SY17 @ SV4 ) )
= $false )
| ( ( ~ ( ip @ SV4 ) )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(126,plain,
! [SV18: $i,SV13: $i] :
( ( ( ! [SY40: $i,SY41: $i] :
( ~ ( iext @ SV13 @ SV18 @ SY40 )
| ~ ( iext @ SV13 @ SV18 @ SY41 )
| ( SY40 = SY41 ) ) )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV13 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(127,plain,
( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_rdf_first @ uri_owl_FunctionalProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_BNODE_o ) )
| ~ ( iext @ uri_rdf_type @ sK1_BNODE_o @ uri_owl_Class ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[120]) ).
thf(128,plain,
( ( ~ ( iext @ uri_owl_oneOf @ sK1_BNODE_o @ sK2_SY14 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[120]) ).
thf(129,plain,
! [SV1: $i,SV9: $i,SV12: $i] :
( ( ( ~ ( ~ ( ( ( sK6_X @ SV12 @ SV9 @ SV1 )
!= SV12 )
| ~ ( icext @ SV1 @ ( sK6_X @ SV12 @ SV9 @ SV1 ) ) )
| ~ ( ( ( sK6_X @ SV12 @ SV9 @ SV1 )
= SV12 )
| ( icext @ SV1 @ ( sK6_X @ SV12 @ SV9 @ SV1 ) ) ) )
| ~ ( ic @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV9 )
= $true )
| ( ( iext @ uri_rdf_first @ SV9 @ SV12 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[121]) ).
thf(130,plain,
! [SV1: $i,SV17: $i,SV15: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV15 @ SV17 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV1 @ SV15 )
| ~ ( ~ ! [SY38: $i] :
( ( SY38 != SV17 )
| ( icext @ SV1 @ SY38 ) )
| ~ ! [SY39: $i] :
( ~ ( icext @ SV1 @ SY39 )
| ( SY39 = SV17 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[122]) ).
thf(131,plain,
! [SV1: $i,SV19: $i,SV16: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV16 @ SV19 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV16 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV1 @ SV16 )
| ( ic @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[123]) ).
thf(132,plain,
! [SV4: $i] :
( ( ( ~ ( iext @ SV4 @ ( sK3_X @ SV4 ) @ ( sK4_SY15 @ SV4 ) ) )
= $false )
| ( ( ~ ( ip @ SV4 ) )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[124]) ).
thf(133,plain,
! [SV4: $i] :
( ( ( ~ ( iext @ SV4 @ ( sK3_X @ SV4 ) @ ( sK5_SY17 @ SV4 ) ) )
= $false )
| ( ( ~ ( ip @ SV4 ) )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[124]) ).
thf(134,plain,
! [SV4: $i] :
( ( ( ip @ SV4 )
= $false )
| ( ( ( sK4_SY15 @ SV4 )
= ( sK5_SY17 @ SV4 ) )
= $false )
| ( ( icext @ uri_owl_FunctionalProperty @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(135,plain,
! [SV20: $i,SV18: $i,SV13: $i] :
( ( ( ! [SY42: $i] :
( ~ ( iext @ SV13 @ SV18 @ SV20 )
| ~ ( iext @ SV13 @ SV18 @ SY42 )
| ( SV20 = SY42 ) ) )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV13 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(136,plain,
( ( ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_rdf_first @ uri_owl_FunctionalProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_BNODE_o ) )
| ~ ( iext @ uri_rdf_type @ sK1_BNODE_o @ uri_owl_Class ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[127]) ).
thf(137,plain,
( ( iext @ uri_owl_oneOf @ sK1_BNODE_o @ sK2_SY14 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[128]) ).
thf(138,plain,
! [SV1: $i,SV9: $i,SV12: $i] :
( ( ( ~ ( ~ ( ( ( sK6_X @ SV12 @ SV9 @ SV1 )
!= SV12 )
| ~ ( icext @ SV1 @ ( sK6_X @ SV12 @ SV9 @ SV1 ) ) )
| ~ ( ( ( sK6_X @ SV12 @ SV9 @ SV1 )
= SV12 )
| ( icext @ SV1 @ ( sK6_X @ SV12 @ SV9 @ SV1 ) ) ) ) )
= $true )
| ( ( ~ ( ic @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV9 )
= $true )
| ( ( iext @ uri_rdf_first @ SV9 @ SV12 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[129]) ).
thf(139,plain,
! [SV1: $i,SV17: $i,SV15: $i] :
( ( ( iext @ uri_rdf_first @ SV15 @ SV17 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV1 @ SV15 )
| ~ ( ~ ! [SY38: $i] :
( ( SY38 != SV17 )
| ( icext @ SV1 @ SY38 ) )
| ~ ! [SY39: $i] :
( ~ ( icext @ SV1 @ SY39 )
| ( SY39 = SV17 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(140,plain,
! [SV1: $i,SV19: $i,SV16: $i] :
( ( ( iext @ uri_rdf_first @ SV16 @ SV19 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV16 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV1 @ SV16 )
| ( ic @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(141,plain,
! [SV4: $i] :
( ( ( iext @ SV4 @ ( sK3_X @ SV4 ) @ ( sK4_SY15 @ SV4 ) )
= $true )
| ( ( ~ ( ip @ SV4 ) )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[132]) ).
thf(142,plain,
! [SV4: $i] :
( ( ( iext @ SV4 @ ( sK3_X @ SV4 ) @ ( sK5_SY17 @ SV4 ) )
= $true )
| ( ( ~ ( ip @ SV4 ) )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[133]) ).
thf(143,plain,
! [SV21: $i,SV20: $i,SV18: $i,SV13: $i] :
( ( ( ~ ( iext @ SV13 @ SV18 @ SV20 )
| ~ ( iext @ SV13 @ SV18 @ SV21 )
| ( SV20 = SV21 ) )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV13 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(144,plain,
( ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_rdf_first @ uri_owl_FunctionalProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_BNODE_o ) )
| ~ ( iext @ uri_rdf_type @ sK1_BNODE_o @ uri_owl_Class ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(145,plain,
! [SV1: $i,SV9: $i,SV12: $i] :
( ( ( ~ ( ( ( sK6_X @ SV12 @ SV9 @ SV1 )
!= SV12 )
| ~ ( icext @ SV1 @ ( sK6_X @ SV12 @ SV9 @ SV1 ) ) )
| ~ ( ( ( sK6_X @ SV12 @ SV9 @ SV1 )
= SV12 )
| ( icext @ SV1 @ ( sK6_X @ SV12 @ SV9 @ SV1 ) ) ) )
= $false )
| ( ( ~ ( ic @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV9 )
= $true )
| ( ( iext @ uri_rdf_first @ SV9 @ SV12 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(146,plain,
! [SV1: $i,SV17: $i,SV15: $i] :
( ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV17 )
= $false )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV1 @ SV15 )
| ~ ( ~ ! [SY38: $i] :
( ( SY38 != SV17 )
| ( icext @ SV1 @ SY38 ) )
| ~ ! [SY39: $i] :
( ~ ( icext @ SV1 @ SY39 )
| ( SY39 = SV17 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(147,plain,
! [SV1: $i,SV19: $i,SV16: $i] :
( ( ( iext @ uri_rdf_rest @ SV16 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV19 )
= $false )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV1 @ SV16 )
| ( ic @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(148,plain,
! [SV4: $i] :
( ( ( ip @ SV4 )
= $false )
| ( ( iext @ SV4 @ ( sK3_X @ SV4 ) @ ( sK4_SY15 @ SV4 ) )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(149,plain,
! [SV4: $i] :
( ( ( ip @ SV4 )
= $false )
| ( ( iext @ SV4 @ ( sK3_X @ SV4 ) @ ( sK5_SY17 @ SV4 ) )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(150,plain,
! [SV21: $i,SV20: $i,SV18: $i,SV13: $i] :
( ( ( ~ ( iext @ SV13 @ SV18 @ SV20 )
| ~ ( iext @ SV13 @ SV18 @ SV21 ) )
= $true )
| ( ( SV20 = SV21 )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[143]) ).
thf(151,plain,
( ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_rdf_first @ uri_owl_FunctionalProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_BNODE_o ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[144]) ).
thf(152,plain,
( ( ~ ( iext @ uri_rdf_type @ sK1_BNODE_o @ uri_owl_Class ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[144]) ).
thf(153,plain,
! [SV1: $i,SV9: $i,SV12: $i] :
( ( ( ~ ( ( ( sK6_X @ SV12 @ SV9 @ SV1 )
!= SV12 )
| ~ ( icext @ SV1 @ ( sK6_X @ SV12 @ SV9 @ SV1 ) ) ) )
= $false )
| ( ( ~ ( ic @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV9 )
= $true )
| ( ( iext @ uri_rdf_first @ SV9 @ SV12 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[145]) ).
thf(154,plain,
! [SV1: $i,SV9: $i,SV12: $i] :
( ( ( ~ ( ( ( sK6_X @ SV12 @ SV9 @ SV1 )
= SV12 )
| ( icext @ SV1 @ ( sK6_X @ SV12 @ SV9 @ SV1 ) ) ) )
= $false )
| ( ( ~ ( ic @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV9 )
= $true )
| ( ( iext @ uri_rdf_first @ SV9 @ SV12 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[145]) ).
thf(155,plain,
! [SV17: $i,SV15: $i,SV1: $i] :
( ( ( ~ ( iext @ uri_owl_oneOf @ SV1 @ SV15 ) )
= $true )
| ( ( ~ ( ~ ! [SY38: $i] :
( ( SY38 != SV17 )
| ( icext @ SV1 @ SY38 ) )
| ~ ! [SY39: $i] :
( ~ ( icext @ SV1 @ SY39 )
| ( SY39 = SV17 ) ) ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV15 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[146]) ).
thf(156,plain,
! [SV19: $i,SV16: $i,SV1: $i] :
( ( ( ~ ( iext @ uri_owl_oneOf @ SV1 @ SV16 ) )
= $true )
| ( ( ic @ SV1 )
= $true )
| ( ( iext @ uri_rdf_first @ SV16 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[147]) ).
thf(157,plain,
! [SV21: $i,SV20: $i,SV18: $i,SV13: $i] :
( ( ( ~ ( iext @ SV13 @ SV18 @ SV20 ) )
= $true )
| ( ( ~ ( iext @ SV13 @ SV18 @ SV21 ) )
= $true )
| ( ( SV20 = SV21 )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[150]) ).
thf(158,plain,
( ( ~ ( ~ ( iext @ uri_rdf_type @ uri_rdf_first @ uri_owl_FunctionalProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_BNODE_o ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[151]) ).
thf(159,plain,
( ( iext @ uri_rdf_type @ sK1_BNODE_o @ uri_owl_Class )
= $true ),
inference(extcnf_not_neg,[status(thm)],[152]) ).
thf(160,plain,
! [SV1: $i,SV9: $i,SV12: $i] :
( ( ( ( ( sK6_X @ SV12 @ SV9 @ SV1 )
!= SV12 )
| ~ ( icext @ SV1 @ ( sK6_X @ SV12 @ SV9 @ SV1 ) ) )
= $true )
| ( ( ~ ( ic @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV9 )
= $true )
| ( ( iext @ uri_rdf_first @ SV9 @ SV12 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[153]) ).
thf(161,plain,
! [SV1: $i,SV9: $i,SV12: $i] :
( ( ( ( ( sK6_X @ SV12 @ SV9 @ SV1 )
= SV12 )
| ( icext @ SV1 @ ( sK6_X @ SV12 @ SV9 @ SV1 ) ) )
= $true )
| ( ( ~ ( ic @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV9 )
= $true )
| ( ( iext @ uri_rdf_first @ SV9 @ SV12 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[154]) ).
thf(162,plain,
! [SV17: $i,SV15: $i,SV1: $i] :
( ( ( iext @ uri_owl_oneOf @ SV1 @ SV15 )
= $false )
| ( ( ~ ( ~ ! [SY38: $i] :
( ( SY38 != SV17 )
| ( icext @ SV1 @ SY38 ) )
| ~ ! [SY39: $i] :
( ~ ( icext @ SV1 @ SY39 )
| ( SY39 = SV17 ) ) ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV15 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[155]) ).
thf(163,plain,
! [SV19: $i,SV16: $i,SV1: $i] :
( ( ( iext @ uri_owl_oneOf @ SV1 @ SV16 )
= $false )
| ( ( ic @ SV1 )
= $true )
| ( ( iext @ uri_rdf_first @ SV16 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(164,plain,
! [SV21: $i,SV20: $i,SV18: $i,SV13: $i] :
( ( ( iext @ SV13 @ SV18 @ SV20 )
= $false )
| ( ( ~ ( iext @ SV13 @ SV18 @ SV21 ) )
= $true )
| ( ( SV20 = SV21 )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[157]) ).
thf(165,plain,
( ( ~ ( iext @ uri_rdf_type @ uri_rdf_first @ uri_owl_FunctionalProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_BNODE_o ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[158]) ).
thf(166,plain,
! [SV1: $i,SV9: $i,SV12: $i] :
( ( ( ( ( sK6_X @ SV12 @ SV9 @ SV1 )
!= SV12 ) )
= $true )
| ( ( ~ ( icext @ SV1 @ ( sK6_X @ SV12 @ SV9 @ SV1 ) ) )
= $true )
| ( ( ~ ( ic @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV9 )
= $true )
| ( ( iext @ uri_rdf_first @ SV9 @ SV12 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[160]) ).
thf(167,plain,
! [SV1: $i,SV9: $i,SV12: $i] :
( ( ( ( sK6_X @ SV12 @ SV9 @ SV1 )
= SV12 )
= $true )
| ( ( icext @ SV1 @ ( sK6_X @ SV12 @ SV9 @ SV1 ) )
= $true )
| ( ( ~ ( ic @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV9 )
= $true )
| ( ( iext @ uri_rdf_first @ SV9 @ SV12 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[161]) ).
thf(168,plain,
! [SV15: $i,SV1: $i,SV17: $i] :
( ( ( ~ ! [SY38: $i] :
( ( SY38 != SV17 )
| ( icext @ SV1 @ SY38 ) )
| ~ ! [SY39: $i] :
( ~ ( icext @ SV1 @ SY39 )
| ( SY39 = SV17 ) ) )
= $false )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[162]) ).
thf(169,plain,
! [SV20: $i,SV21: $i,SV18: $i,SV13: $i] :
( ( ( iext @ SV13 @ SV18 @ SV21 )
= $false )
| ( ( iext @ SV13 @ SV18 @ SV20 )
= $false )
| ( ( SV20 = SV21 )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(170,plain,
( ( ~ ( iext @ uri_rdf_type @ uri_rdf_first @ uri_owl_FunctionalProperty ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[165]) ).
thf(171,plain,
( ( ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_BNODE_o ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[165]) ).
thf(172,plain,
! [SV1: $i,SV9: $i,SV12: $i] :
( ( ( ( sK6_X @ SV12 @ SV9 @ SV1 )
= SV12 )
= $false )
| ( ( ~ ( icext @ SV1 @ ( sK6_X @ SV12 @ SV9 @ SV1 ) ) )
= $true )
| ( ( ~ ( ic @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV9 )
= $true )
| ( ( iext @ uri_rdf_first @ SV9 @ SV12 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[166]) ).
thf(173,plain,
! [SV9: $i,SV12: $i,SV1: $i] :
( ( ( ic @ SV1 )
= $false )
| ( ( icext @ SV1 @ ( sK6_X @ SV12 @ SV9 @ SV1 ) )
= $true )
| ( ( ( sK6_X @ SV12 @ SV9 @ SV1 )
= SV12 )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV9 )
= $true )
| ( ( iext @ uri_rdf_first @ SV9 @ SV12 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[167]) ).
thf(174,plain,
! [SV15: $i,SV1: $i,SV17: $i] :
( ( ( ~ ! [SY38: $i] :
( ( SY38 != SV17 )
| ( icext @ SV1 @ SY38 ) ) )
= $false )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[168]) ).
thf(175,plain,
! [SV15: $i,SV17: $i,SV1: $i] :
( ( ( ~ ! [SY39: $i] :
( ~ ( icext @ SV1 @ SY39 )
| ( SY39 = SV17 ) ) )
= $false )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[168]) ).
thf(176,plain,
( ( iext @ uri_rdf_type @ uri_rdf_first @ uri_owl_FunctionalProperty )
= $true ),
inference(extcnf_not_neg,[status(thm)],[170]) ).
thf(177,plain,
( ( iext @ uri_rdf_type @ uri_ex_w @ sK1_BNODE_o )
= $true ),
inference(extcnf_not_neg,[status(thm)],[171]) ).
thf(178,plain,
! [SV9: $i,SV12: $i,SV1: $i] :
( ( ( icext @ SV1 @ ( sK6_X @ SV12 @ SV9 @ SV1 ) )
= $false )
| ( ( ( sK6_X @ SV12 @ SV9 @ SV1 )
= SV12 )
= $false )
| ( ( ~ ( ic @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV9 )
= $true )
| ( ( iext @ uri_rdf_first @ SV9 @ SV12 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(179,plain,
! [SV15: $i,SV1: $i,SV17: $i] :
( ( ( ! [SY38: $i] :
( ( SY38 != SV17 )
| ( icext @ SV1 @ SY38 ) ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[174]) ).
thf(180,plain,
! [SV15: $i,SV17: $i,SV1: $i] :
( ( ( ! [SY39: $i] :
( ~ ( icext @ SV1 @ SY39 )
| ( SY39 = SV17 ) ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[175]) ).
thf(181,plain,
! [SV9: $i,SV12: $i,SV1: $i] :
( ( ( ic @ SV1 )
= $false )
| ( ( ( sK6_X @ SV12 @ SV9 @ SV1 )
= SV12 )
= $false )
| ( ( icext @ SV1 @ ( sK6_X @ SV12 @ SV9 @ SV1 ) )
= $false )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV9 )
= $true )
| ( ( iext @ uri_rdf_first @ SV9 @ SV12 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[178]) ).
thf(182,plain,
! [SV15: $i,SV1: $i,SV17: $i,SV22: $i] :
( ( ( ( SV22 != SV17 )
| ( icext @ SV1 @ SV22 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(183,plain,
! [SV15: $i,SV17: $i,SV23: $i,SV1: $i] :
( ( ( ~ ( icext @ SV1 @ SV23 )
| ( SV23 = SV17 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[180]) ).
thf(184,plain,
! [SV15: $i,SV1: $i,SV17: $i,SV22: $i] :
( ( ( ( SV22 != SV17 ) )
= $true )
| ( ( icext @ SV1 @ SV22 )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[182]) ).
thf(185,plain,
! [SV15: $i,SV17: $i,SV23: $i,SV1: $i] :
( ( ( ~ ( icext @ SV1 @ SV23 ) )
= $true )
| ( ( SV23 = SV17 )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[183]) ).
thf(186,plain,
! [SV15: $i,SV1: $i,SV17: $i,SV22: $i] :
( ( ( SV22 = SV17 )
= $false )
| ( ( icext @ SV1 @ SV22 )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(187,plain,
! [SV15: $i,SV17: $i,SV23: $i,SV1: $i] :
( ( ( icext @ SV1 @ SV23 )
= $false )
| ( ( SV23 = SV17 )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(188,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[34,187,186,181,177,176,173,169,163,159,149,148,137,134,119,112,101,100,92,91,82,52]) ).
thf(189,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)],[22]) ).
thf(190,plain,
( ( ! [Z: $i] :
( ! [S1: $i,A1: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ A1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ uri_rdf_nil )
| ( ( ( ( sK6_X @ A1 @ S1 @ Z )
!= A1 )
| ~ ( icext @ Z @ ( sK6_X @ A1 @ S1 @ Z ) ) )
& ( ( ( sK6_X @ A1 @ S1 @ Z )
= A1 )
| ( icext @ Z @ ( sK6_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(191,plain,
( ( ! [P: $i] :
( ( ( iext @ P @ ( sK3_X @ P ) @ ( sK4_SY15 @ P ) )
& ( iext @ P @ ( sK3_X @ P ) @ ( sK5_SY17 @ P ) )
& ( ( sK4_SY15 @ P )
!= ( sK5_SY17 @ P ) ) )
| ~ ( ip @ P )
| ( icext @ uri_owl_FunctionalProperty @ P ) )
& ! [P: $i] :
( ~ ( icext @ uri_owl_FunctionalProperty @ P )
| ! [X: $i,Y1: $i,Y2: $i] :
( ~ ( iext @ P @ X @ Y1 )
| ~ ( iext @ P @ X @ Y2 )
| ( Y1 = Y2 ) ) )
& ! [P: $i] :
( ~ ( icext @ uri_owl_FunctionalProperty @ P )
| ( ip @ P ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(192,plain,
( ( ! [X: $i,Y: $i] :
( ( X != Y )
| ( iext @ uri_owl_sameAs @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ~ ( iext @ uri_owl_sameAs @ X @ Y )
| ( X = Y ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(193,plain,
( ( ( iext @ uri_rdf_type @ uri_rdf_first @ uri_owl_FunctionalProperty )
& ( iext @ uri_rdf_type @ uri_ex_w @ sK1_BNODE_o )
& ( iext @ uri_rdf_type @ sK1_BNODE_o @ uri_owl_Class )
& ( iext @ uri_owl_oneOf @ sK1_BNODE_o @ sK2_SY14 )
& ( iext @ uri_rdf_first @ sK2_SY14 @ uri_ex_u )
& ( iext @ uri_rdf_first @ sK2_SY14 @ uri_ex_v )
& ( iext @ uri_rdf_rest @ sK2_SY14 @ uri_rdf_nil ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(194,plain,
( ( ~ ( iext @ uri_owl_sameAs @ uri_ex_w @ uri_ex_v ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(195,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( ~ ~ ( ~ ( iext @ SX0 @ ( sK3_X @ SX0 ) @ ( sK4_SY15 @ SX0 ) )
| ~ ( iext @ SX0 @ ( sK3_X @ SX0 ) @ ( sK5_SY17 @ SX0 ) ) )
| ~ ( ( ( sK4_SY15 @ SX0 )
!= ( sK5_SY17 @ SX0 ) ) ) )
| ~ ( ip @ SX0 )
| ( icext @ uri_owl_FunctionalProperty @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( icext @ uri_owl_FunctionalProperty @ SX0 )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ( iext @ SX0 @ SX1 @ SX2 )
| ~ ( iext @ SX0 @ SX1 @ SX3 )
| ( SX2 = SX3 ) ) )
| ~ ! [SX0: $i] :
( ~ ( icext @ uri_owl_FunctionalProperty @ SX0 )
| ( ip @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[191]) ).
thf(196,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_rdf_first @ uri_owl_FunctionalProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_BNODE_o ) )
| ~ ( iext @ uri_rdf_type @ sK1_BNODE_o @ uri_owl_Class ) )
| ~ ( iext @ uri_owl_oneOf @ sK1_BNODE_o @ sK2_SY14 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY14 @ uri_ex_u ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY14 @ uri_ex_v ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY14 @ uri_rdf_nil ) ) )
= $true ),
inference(unfold_def,[status(thm)],[193]) ).
thf(197,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( iext @ uri_rdf_first @ SX1 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SX1 @ uri_rdf_nil )
| ~ ( ~ ( ( ( sK6_X @ SX2 @ SX1 @ SX0 )
!= SX2 )
| ~ ( icext @ SX0 @ ( sK6_X @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ( ( sK6_X @ SX2 @ SX1 @ SX0 )
= SX2 )
| ( icext @ SX0 @ ( sK6_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)],[190]) ).
thf(198,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( iext @ uri_owl_sameAs @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_sameAs @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[192]) ).
thf(199,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)],[189]) ).
thf(200,plain,
( ( iext @ uri_owl_sameAs @ uri_ex_w @ uri_ex_v )
= $false ),
inference(extcnf_not_pos,[status(thm)],[194]) ).
thf(201,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ~ ~ ( ~ ( iext @ SX0 @ ( sK3_X @ SX0 ) @ ( sK4_SY15 @ SX0 ) )
| ~ ( iext @ SX0 @ ( sK3_X @ SX0 ) @ ( sK5_SY17 @ SX0 ) ) )
| ~ ( ( ( sK4_SY15 @ SX0 )
!= ( sK5_SY17 @ SX0 ) ) ) )
| ~ ( ip @ SX0 )
| ( icext @ uri_owl_FunctionalProperty @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( icext @ uri_owl_FunctionalProperty @ SX0 )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ( iext @ SX0 @ SX1 @ SX2 )
| ~ ( iext @ SX0 @ SX1 @ SX3 )
| ( SX2 = SX3 ) ) )
| ~ ! [SX0: $i] :
( ~ ( icext @ uri_owl_FunctionalProperty @ SX0 )
| ( ip @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(202,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_rdf_first @ uri_owl_FunctionalProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_BNODE_o ) )
| ~ ( iext @ uri_rdf_type @ sK1_BNODE_o @ uri_owl_Class ) )
| ~ ( iext @ uri_owl_oneOf @ sK1_BNODE_o @ sK2_SY14 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY14 @ uri_ex_u ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY14 @ uri_ex_v ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY14 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(203,plain,
! [SV24: $i] :
( ( ~ ( ~ ! [SY43: $i,SY44: $i] :
( ~ ( iext @ uri_rdf_first @ SY43 @ SY44 )
| ~ ( iext @ uri_rdf_rest @ SY43 @ uri_rdf_nil )
| ~ ( ~ ( ( ( sK6_X @ SY44 @ SY43 @ SV24 )
!= SY44 )
| ~ ( icext @ SV24 @ ( sK6_X @ SY44 @ SY43 @ SV24 ) ) )
| ~ ( ( ( sK6_X @ SY44 @ SY43 @ SV24 )
= SY44 )
| ( icext @ SV24 @ ( sK6_X @ SY44 @ SY43 @ SV24 ) ) ) )
| ~ ( ic @ SV24 )
| ( iext @ uri_owl_oneOf @ SV24 @ SY43 ) )
| ~ ~ ( ~ ! [SY45: $i,SY46: $i] :
( ~ ( iext @ uri_rdf_first @ SY45 @ SY46 )
| ~ ( iext @ uri_rdf_rest @ SY45 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV24 @ SY45 )
| ~ ( ~ ! [SY47: $i] :
( ( SY47 != SY46 )
| ( icext @ SV24 @ SY47 ) )
| ~ ! [SY48: $i] :
( ~ ( icext @ SV24 @ SY48 )
| ( SY48 = SY46 ) ) ) )
| ~ ! [SY49: $i] :
( ! [SX2: $i] :
~ ( iext @ uri_rdf_first @ SY49 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SY49 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV24 @ SY49 )
| ( ic @ SV24 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[197]) ).
thf(204,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( iext @ uri_owl_sameAs @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_sameAs @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(205,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)],[199]) ).
thf(206,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ~ ~ ( ~ ( iext @ SX0 @ ( sK3_X @ SX0 ) @ ( sK4_SY15 @ SX0 ) )
| ~ ( iext @ SX0 @ ( sK3_X @ SX0 ) @ ( sK5_SY17 @ SX0 ) ) )
| ~ ( ( ( sK4_SY15 @ SX0 )
!= ( sK5_SY17 @ SX0 ) ) ) )
| ~ ( ip @ SX0 )
| ( icext @ uri_owl_FunctionalProperty @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[201]) ).
thf(207,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( icext @ uri_owl_FunctionalProperty @ SX0 )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ( iext @ SX0 @ SX1 @ SX2 )
| ~ ( iext @ SX0 @ SX1 @ SX3 )
| ( SX2 = SX3 ) ) )
| ~ ! [SX0: $i] :
( ~ ( icext @ uri_owl_FunctionalProperty @ SX0 )
| ( ip @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[201]) ).
thf(208,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_rdf_first @ uri_owl_FunctionalProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_BNODE_o ) )
| ~ ( iext @ uri_rdf_type @ sK1_BNODE_o @ uri_owl_Class ) )
| ~ ( iext @ uri_owl_oneOf @ sK1_BNODE_o @ sK2_SY14 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY14 @ uri_ex_u ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY14 @ uri_ex_v ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[202]) ).
thf(209,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK2_SY14 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[202]) ).
thf(210,plain,
! [SV24: $i] :
( ( ~ ! [SY43: $i,SY44: $i] :
( ~ ( iext @ uri_rdf_first @ SY43 @ SY44 )
| ~ ( iext @ uri_rdf_rest @ SY43 @ uri_rdf_nil )
| ~ ( ~ ( ( ( sK6_X @ SY44 @ SY43 @ SV24 )
!= SY44 )
| ~ ( icext @ SV24 @ ( sK6_X @ SY44 @ SY43 @ SV24 ) ) )
| ~ ( ( ( sK6_X @ SY44 @ SY43 @ SV24 )
= SY44 )
| ( icext @ SV24 @ ( sK6_X @ SY44 @ SY43 @ SV24 ) ) ) )
| ~ ( ic @ SV24 )
| ( iext @ uri_owl_oneOf @ SV24 @ SY43 ) )
| ~ ~ ( ~ ! [SY45: $i,SY46: $i] :
( ~ ( iext @ uri_rdf_first @ SY45 @ SY46 )
| ~ ( iext @ uri_rdf_rest @ SY45 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV24 @ SY45 )
| ~ ( ~ ! [SY47: $i] :
( ( SY47 != SY46 )
| ( icext @ SV24 @ SY47 ) )
| ~ ! [SY48: $i] :
( ~ ( icext @ SV24 @ SY48 )
| ( SY48 = SY46 ) ) ) )
| ~ ! [SY49: $i] :
( ! [SX2: $i] :
~ ( iext @ uri_rdf_first @ SY49 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SY49 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV24 @ SY49 )
| ( ic @ SV24 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(211,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( iext @ uri_owl_sameAs @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[204]) ).
thf(212,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_sameAs @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[204]) ).
thf(213,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( icext @ SX1 @ SX0 )
| ( iext @ uri_rdf_type @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[205]) ).
thf(214,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
| ( icext @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[205]) ).
thf(215,plain,
( ( ! [SX0: $i] :
( ~ ( ~ ~ ( ~ ( iext @ SX0 @ ( sK3_X @ SX0 ) @ ( sK4_SY15 @ SX0 ) )
| ~ ( iext @ SX0 @ ( sK3_X @ SX0 ) @ ( sK5_SY17 @ SX0 ) ) )
| ~ ( ( ( sK4_SY15 @ SX0 )
!= ( sK5_SY17 @ SX0 ) ) ) )
| ~ ( ip @ SX0 )
| ( icext @ uri_owl_FunctionalProperty @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[206]) ).
thf(216,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( icext @ uri_owl_FunctionalProperty @ SX0 )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ( iext @ SX0 @ SX1 @ SX2 )
| ~ ( iext @ SX0 @ SX1 @ SX3 )
| ( SX2 = SX3 ) ) )
| ~ ! [SX0: $i] :
( ~ ( icext @ uri_owl_FunctionalProperty @ SX0 )
| ( ip @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[207]) ).
thf(217,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_rdf_first @ uri_owl_FunctionalProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_BNODE_o ) )
| ~ ( iext @ uri_rdf_type @ sK1_BNODE_o @ uri_owl_Class ) )
| ~ ( iext @ uri_owl_oneOf @ sK1_BNODE_o @ sK2_SY14 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY14 @ uri_ex_u ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY14 @ uri_ex_v ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[208]) ).
thf(218,plain,
( ( iext @ uri_rdf_rest @ sK2_SY14 @ uri_rdf_nil )
= $true ),
inference(extcnf_not_neg,[status(thm)],[209]) ).
thf(219,plain,
! [SV24: $i] :
( ( ~ ! [SY43: $i,SY44: $i] :
( ~ ( iext @ uri_rdf_first @ SY43 @ SY44 )
| ~ ( iext @ uri_rdf_rest @ SY43 @ uri_rdf_nil )
| ~ ( ~ ( ( ( sK6_X @ SY44 @ SY43 @ SV24 )
!= SY44 )
| ~ ( icext @ SV24 @ ( sK6_X @ SY44 @ SY43 @ SV24 ) ) )
| ~ ( ( ( sK6_X @ SY44 @ SY43 @ SV24 )
= SY44 )
| ( icext @ SV24 @ ( sK6_X @ SY44 @ SY43 @ SV24 ) ) ) )
| ~ ( ic @ SV24 )
| ( iext @ uri_owl_oneOf @ SV24 @ SY43 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[210]) ).
thf(220,plain,
! [SV24: $i] :
( ( ~ ~ ( ~ ! [SY45: $i,SY46: $i] :
( ~ ( iext @ uri_rdf_first @ SY45 @ SY46 )
| ~ ( iext @ uri_rdf_rest @ SY45 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV24 @ SY45 )
| ~ ( ~ ! [SY47: $i] :
( ( SY47 != SY46 )
| ( icext @ SV24 @ SY47 ) )
| ~ ! [SY48: $i] :
( ~ ( icext @ SV24 @ SY48 )
| ( SY48 = SY46 ) ) ) )
| ~ ! [SY49: $i] :
( ! [SX2: $i] :
~ ( iext @ uri_rdf_first @ SY49 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SY49 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV24 @ SY49 )
| ( ic @ SV24 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[210]) ).
thf(221,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( iext @ uri_owl_sameAs @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[211]) ).
thf(222,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_sameAs @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[212]) ).
thf(223,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( icext @ SX1 @ SX0 )
| ( iext @ uri_rdf_type @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[213]) ).
thf(224,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
| ( icext @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[214]) ).
thf(225,plain,
! [SV25: $i] :
( ( ~ ( ~ ~ ( ~ ( iext @ SV25 @ ( sK3_X @ SV25 ) @ ( sK4_SY15 @ SV25 ) )
| ~ ( iext @ SV25 @ ( sK3_X @ SV25 ) @ ( sK5_SY17 @ SV25 ) ) )
| ~ ( ( ( sK4_SY15 @ SV25 )
!= ( sK5_SY17 @ SV25 ) ) ) )
| ~ ( ip @ SV25 )
| ( icext @ uri_owl_FunctionalProperty @ SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[215]) ).
thf(226,plain,
( ( ~ ! [SX0: $i] :
( ~ ( icext @ uri_owl_FunctionalProperty @ SX0 )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ( iext @ SX0 @ SX1 @ SX2 )
| ~ ( iext @ SX0 @ SX1 @ SX3 )
| ( SX2 = SX3 ) ) )
| ~ ! [SX0: $i] :
( ~ ( icext @ uri_owl_FunctionalProperty @ SX0 )
| ( ip @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[216]) ).
thf(227,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_rdf_first @ uri_owl_FunctionalProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_BNODE_o ) )
| ~ ( iext @ uri_rdf_type @ sK1_BNODE_o @ uri_owl_Class ) )
| ~ ( iext @ uri_owl_oneOf @ sK1_BNODE_o @ sK2_SY14 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY14 @ uri_ex_u ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY14 @ uri_ex_v ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[217]) ).
thf(228,plain,
! [SV24: $i] :
( ( ! [SY43: $i,SY44: $i] :
( ~ ( iext @ uri_rdf_first @ SY43 @ SY44 )
| ~ ( iext @ uri_rdf_rest @ SY43 @ uri_rdf_nil )
| ~ ( ~ ( ( ( sK6_X @ SY44 @ SY43 @ SV24 )
!= SY44 )
| ~ ( icext @ SV24 @ ( sK6_X @ SY44 @ SY43 @ SV24 ) ) )
| ~ ( ( ( sK6_X @ SY44 @ SY43 @ SV24 )
= SY44 )
| ( icext @ SV24 @ ( sK6_X @ SY44 @ SY43 @ SV24 ) ) ) )
| ~ ( ic @ SV24 )
| ( iext @ uri_owl_oneOf @ SV24 @ SY43 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[219]) ).
thf(229,plain,
! [SV24: $i] :
( ( ~ ( ~ ! [SY45: $i,SY46: $i] :
( ~ ( iext @ uri_rdf_first @ SY45 @ SY46 )
| ~ ( iext @ uri_rdf_rest @ SY45 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV24 @ SY45 )
| ~ ( ~ ! [SY47: $i] :
( ( SY47 != SY46 )
| ( icext @ SV24 @ SY47 ) )
| ~ ! [SY48: $i] :
( ~ ( icext @ SV24 @ SY48 )
| ( SY48 = SY46 ) ) ) )
| ~ ! [SY49: $i] :
( ! [SX2: $i] :
~ ( iext @ uri_rdf_first @ SY49 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SY49 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV24 @ SY49 )
| ( ic @ SV24 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[220]) ).
thf(230,plain,
! [SV26: $i] :
( ( ! [SY51: $i] :
( ( SV26 != SY51 )
| ( iext @ uri_owl_sameAs @ SV26 @ SY51 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[221]) ).
thf(231,plain,
! [SV27: $i] :
( ( ! [SY52: $i] :
( ~ ( iext @ uri_owl_sameAs @ SV27 @ SY52 )
| ( SV27 = SY52 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[222]) ).
thf(232,plain,
! [SV28: $i] :
( ( ! [SY53: $i] :
( ~ ( icext @ SY53 @ SV28 )
| ( iext @ uri_rdf_type @ SV28 @ SY53 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[223]) ).
thf(233,plain,
! [SV29: $i] :
( ( ! [SY54: $i] :
( ~ ( iext @ uri_rdf_type @ SV29 @ SY54 )
| ( icext @ SY54 @ SV29 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[224]) ).
thf(234,plain,
! [SV25: $i] :
( ( ( ~ ( ~ ~ ( ~ ( iext @ SV25 @ ( sK3_X @ SV25 ) @ ( sK4_SY15 @ SV25 ) )
| ~ ( iext @ SV25 @ ( sK3_X @ SV25 ) @ ( sK5_SY17 @ SV25 ) ) )
| ~ ( ( ( sK4_SY15 @ SV25 )
!= ( sK5_SY17 @ SV25 ) ) ) )
| ~ ( ip @ SV25 ) )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[225]) ).
thf(235,plain,
( ( ~ ! [SX0: $i] :
( ~ ( icext @ uri_owl_FunctionalProperty @ SX0 )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ( iext @ SX0 @ SX1 @ SX2 )
| ~ ( iext @ SX0 @ SX1 @ SX3 )
| ( SX2 = SX3 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[226]) ).
thf(236,plain,
( ( ~ ! [SX0: $i] :
( ~ ( icext @ uri_owl_FunctionalProperty @ SX0 )
| ( ip @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[226]) ).
thf(237,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_rdf_first @ uri_owl_FunctionalProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_BNODE_o ) )
| ~ ( iext @ uri_rdf_type @ sK1_BNODE_o @ uri_owl_Class ) )
| ~ ( iext @ uri_owl_oneOf @ sK1_BNODE_o @ sK2_SY14 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY14 @ uri_ex_u ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[227]) ).
thf(238,plain,
( ( ~ ( iext @ uri_rdf_first @ sK2_SY14 @ uri_ex_v ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[227]) ).
thf(239,plain,
! [SV24: $i,SV30: $i] :
( ( ! [SY55: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SY55 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
| ~ ( ~ ( ( ( sK6_X @ SY55 @ SV30 @ SV24 )
!= SY55 )
| ~ ( icext @ SV24 @ ( sK6_X @ SY55 @ SV30 @ SV24 ) ) )
| ~ ( ( ( sK6_X @ SY55 @ SV30 @ SV24 )
= SY55 )
| ( icext @ SV24 @ ( sK6_X @ SY55 @ SV30 @ SV24 ) ) ) )
| ~ ( ic @ SV24 )
| ( iext @ uri_owl_oneOf @ SV24 @ SV30 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[228]) ).
thf(240,plain,
! [SV24: $i] :
( ( ~ ! [SY45: $i,SY46: $i] :
( ~ ( iext @ uri_rdf_first @ SY45 @ SY46 )
| ~ ( iext @ uri_rdf_rest @ SY45 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV24 @ SY45 )
| ~ ( ~ ! [SY47: $i] :
( ( SY47 != SY46 )
| ( icext @ SV24 @ SY47 ) )
| ~ ! [SY48: $i] :
( ~ ( icext @ SV24 @ SY48 )
| ( SY48 = SY46 ) ) ) )
| ~ ! [SY49: $i] :
( ! [SX2: $i] :
~ ( iext @ uri_rdf_first @ SY49 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SY49 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV24 @ SY49 )
| ( ic @ SV24 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(241,plain,
! [SV31: $i,SV26: $i] :
( ( ( SV26 != SV31 )
| ( iext @ uri_owl_sameAs @ SV26 @ SV31 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[230]) ).
thf(242,plain,
! [SV32: $i,SV27: $i] :
( ( ~ ( iext @ uri_owl_sameAs @ SV27 @ SV32 )
| ( SV27 = SV32 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[231]) ).
thf(243,plain,
! [SV28: $i,SV33: $i] :
( ( ~ ( icext @ SV33 @ SV28 )
| ( iext @ uri_rdf_type @ SV28 @ SV33 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[232]) ).
thf(244,plain,
! [SV34: $i,SV29: $i] :
( ( ~ ( iext @ uri_rdf_type @ SV29 @ SV34 )
| ( icext @ SV34 @ SV29 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[233]) ).
thf(245,plain,
! [SV25: $i] :
( ( ( ~ ( ~ ~ ( ~ ( iext @ SV25 @ ( sK3_X @ SV25 ) @ ( sK4_SY15 @ SV25 ) )
| ~ ( iext @ SV25 @ ( sK3_X @ SV25 ) @ ( sK5_SY17 @ SV25 ) ) )
| ~ ( ( ( sK4_SY15 @ SV25 )
!= ( sK5_SY17 @ SV25 ) ) ) ) )
= $true )
| ( ( ~ ( ip @ SV25 ) )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[234]) ).
thf(246,plain,
( ( ! [SX0: $i] :
( ~ ( icext @ uri_owl_FunctionalProperty @ SX0 )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ( iext @ SX0 @ SX1 @ SX2 )
| ~ ( iext @ SX0 @ SX1 @ SX3 )
| ( SX2 = SX3 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[235]) ).
thf(247,plain,
( ( ! [SX0: $i] :
( ~ ( icext @ uri_owl_FunctionalProperty @ SX0 )
| ( ip @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[236]) ).
thf(248,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_rdf_first @ uri_owl_FunctionalProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_BNODE_o ) )
| ~ ( iext @ uri_rdf_type @ sK1_BNODE_o @ uri_owl_Class ) )
| ~ ( iext @ uri_owl_oneOf @ sK1_BNODE_o @ sK2_SY14 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY14 @ uri_ex_u ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[237]) ).
thf(249,plain,
( ( iext @ uri_rdf_first @ sK2_SY14 @ uri_ex_v )
= $true ),
inference(extcnf_not_neg,[status(thm)],[238]) ).
thf(250,plain,
! [SV24: $i,SV35: $i,SV30: $i] :
( ( ~ ( iext @ uri_rdf_first @ SV30 @ SV35 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
| ~ ( ~ ( ( ( sK6_X @ SV35 @ SV30 @ SV24 )
!= SV35 )
| ~ ( icext @ SV24 @ ( sK6_X @ SV35 @ SV30 @ SV24 ) ) )
| ~ ( ( ( sK6_X @ SV35 @ SV30 @ SV24 )
= SV35 )
| ( icext @ SV24 @ ( sK6_X @ SV35 @ SV30 @ SV24 ) ) ) )
| ~ ( ic @ SV24 )
| ( iext @ uri_owl_oneOf @ SV24 @ SV30 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[239]) ).
thf(251,plain,
! [SV24: $i] :
( ( ~ ! [SY45: $i,SY46: $i] :
( ~ ( iext @ uri_rdf_first @ SY45 @ SY46 )
| ~ ( iext @ uri_rdf_rest @ SY45 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV24 @ SY45 )
| ~ ( ~ ! [SY47: $i] :
( ( SY47 != SY46 )
| ( icext @ SV24 @ SY47 ) )
| ~ ! [SY48: $i] :
( ~ ( icext @ SV24 @ SY48 )
| ( SY48 = SY46 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[240]) ).
thf(252,plain,
! [SV24: $i] :
( ( ~ ! [SY49: $i] :
( ! [SX2: $i] :
~ ( iext @ uri_rdf_first @ SY49 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SY49 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV24 @ SY49 )
| ( ic @ SV24 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[240]) ).
thf(253,plain,
! [SV31: $i,SV26: $i] :
( ( ( ( SV26 != SV31 ) )
= $true )
| ( ( iext @ uri_owl_sameAs @ SV26 @ SV31 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[241]) ).
thf(254,plain,
! [SV32: $i,SV27: $i] :
( ( ( ~ ( iext @ uri_owl_sameAs @ SV27 @ SV32 ) )
= $true )
| ( ( SV27 = SV32 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[242]) ).
thf(255,plain,
! [SV28: $i,SV33: $i] :
( ( ( ~ ( icext @ SV33 @ SV28 ) )
= $true )
| ( ( iext @ uri_rdf_type @ SV28 @ SV33 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[243]) ).
thf(256,plain,
! [SV34: $i,SV29: $i] :
( ( ( ~ ( iext @ uri_rdf_type @ SV29 @ SV34 ) )
= $true )
| ( ( icext @ SV34 @ SV29 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[244]) ).
thf(257,plain,
! [SV25: $i] :
( ( ( ~ ~ ( ~ ( iext @ SV25 @ ( sK3_X @ SV25 ) @ ( sK4_SY15 @ SV25 ) )
| ~ ( iext @ SV25 @ ( sK3_X @ SV25 ) @ ( sK5_SY17 @ SV25 ) ) )
| ~ ( ( ( sK4_SY15 @ SV25 )
!= ( sK5_SY17 @ SV25 ) ) ) )
= $false )
| ( ( ~ ( ip @ SV25 ) )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[245]) ).
thf(258,plain,
! [SV36: $i] :
( ( ~ ( icext @ uri_owl_FunctionalProperty @ SV36 )
| ! [SY56: $i,SY57: $i,SY58: $i] :
( ~ ( iext @ SV36 @ SY56 @ SY57 )
| ~ ( iext @ SV36 @ SY56 @ SY58 )
| ( SY57 = SY58 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[246]) ).
thf(259,plain,
! [SV37: $i] :
( ( ~ ( icext @ uri_owl_FunctionalProperty @ SV37 )
| ( ip @ SV37 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[247]) ).
thf(260,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_rdf_first @ uri_owl_FunctionalProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_BNODE_o ) )
| ~ ( iext @ uri_rdf_type @ sK1_BNODE_o @ uri_owl_Class ) )
| ~ ( iext @ uri_owl_oneOf @ sK1_BNODE_o @ sK2_SY14 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY14 @ uri_ex_u ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[248]) ).
thf(261,plain,
! [SV24: $i,SV35: $i,SV30: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV30 @ SV35 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ( ( sK6_X @ SV35 @ SV30 @ SV24 )
!= SV35 )
| ~ ( icext @ SV24 @ ( sK6_X @ SV35 @ SV30 @ SV24 ) ) )
| ~ ( ( ( sK6_X @ SV35 @ SV30 @ SV24 )
= SV35 )
| ( icext @ SV24 @ ( sK6_X @ SV35 @ SV30 @ SV24 ) ) ) )
| ~ ( ic @ SV24 )
| ( iext @ uri_owl_oneOf @ SV24 @ SV30 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[250]) ).
thf(262,plain,
! [SV24: $i] :
( ( ! [SY45: $i,SY46: $i] :
( ~ ( iext @ uri_rdf_first @ SY45 @ SY46 )
| ~ ( iext @ uri_rdf_rest @ SY45 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV24 @ SY45 )
| ~ ( ~ ! [SY47: $i] :
( ( SY47 != SY46 )
| ( icext @ SV24 @ SY47 ) )
| ~ ! [SY48: $i] :
( ~ ( icext @ SV24 @ SY48 )
| ( SY48 = SY46 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[251]) ).
thf(263,plain,
! [SV24: $i] :
( ( ! [SY49: $i] :
( ! [SX2: $i] :
~ ( iext @ uri_rdf_first @ SY49 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SY49 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV24 @ SY49 )
| ( ic @ SV24 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[252]) ).
thf(264,plain,
! [SV31: $i,SV26: $i] :
( ( ( SV26 = SV31 )
= $false )
| ( ( iext @ uri_owl_sameAs @ SV26 @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[253]) ).
thf(265,plain,
! [SV32: $i,SV27: $i] :
( ( ( iext @ uri_owl_sameAs @ SV27 @ SV32 )
= $false )
| ( ( SV27 = SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[254]) ).
thf(266,plain,
! [SV28: $i,SV33: $i] :
( ( ( icext @ SV33 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_type @ SV28 @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(267,plain,
! [SV34: $i,SV29: $i] :
( ( ( iext @ uri_rdf_type @ SV29 @ SV34 )
= $false )
| ( ( icext @ SV34 @ SV29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(268,plain,
! [SV25: $i] :
( ( ( ~ ~ ( ~ ( iext @ SV25 @ ( sK3_X @ SV25 ) @ ( sK4_SY15 @ SV25 ) )
| ~ ( iext @ SV25 @ ( sK3_X @ SV25 ) @ ( sK5_SY17 @ SV25 ) ) ) )
= $false )
| ( ( ~ ( ip @ SV25 ) )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV25 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[257]) ).
thf(269,plain,
! [SV25: $i] :
( ( ( ~ ( ( ( sK4_SY15 @ SV25 )
!= ( sK5_SY17 @ SV25 ) ) ) )
= $false )
| ( ( ~ ( ip @ SV25 ) )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV25 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[257]) ).
thf(270,plain,
! [SV36: $i] :
( ( ( ~ ( icext @ uri_owl_FunctionalProperty @ SV36 ) )
= $true )
| ( ( ! [SY56: $i,SY57: $i,SY58: $i] :
( ~ ( iext @ SV36 @ SY56 @ SY57 )
| ~ ( iext @ SV36 @ SY56 @ SY58 )
| ( SY57 = SY58 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[258]) ).
thf(271,plain,
! [SV37: $i] :
( ( ( ~ ( icext @ uri_owl_FunctionalProperty @ SV37 ) )
= $true )
| ( ( ip @ SV37 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[259]) ).
thf(272,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_rdf_first @ uri_owl_FunctionalProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_BNODE_o ) )
| ~ ( iext @ uri_rdf_type @ sK1_BNODE_o @ uri_owl_Class ) )
| ~ ( iext @ uri_owl_oneOf @ sK1_BNODE_o @ sK2_SY14 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[260]) ).
thf(273,plain,
( ( ~ ( iext @ uri_rdf_first @ sK2_SY14 @ uri_ex_u ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[260]) ).
thf(274,plain,
! [SV24: $i,SV35: $i,SV30: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV30 @ SV35 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ( ( sK6_X @ SV35 @ SV30 @ SV24 )
!= SV35 )
| ~ ( icext @ SV24 @ ( sK6_X @ SV35 @ SV30 @ SV24 ) ) )
| ~ ( ( ( sK6_X @ SV35 @ SV30 @ SV24 )
= SV35 )
| ( icext @ SV24 @ ( sK6_X @ SV35 @ SV30 @ SV24 ) ) ) )
| ~ ( ic @ SV24 )
| ( iext @ uri_owl_oneOf @ SV24 @ SV30 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[261]) ).
thf(275,plain,
! [SV24: $i,SV38: $i] :
( ( ! [SY59: $i] :
( ~ ( iext @ uri_rdf_first @ SV38 @ SY59 )
| ~ ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV24 @ SV38 )
| ~ ( ~ ! [SY47: $i] :
( ( SY47 != SY59 )
| ( icext @ SV24 @ SY47 ) )
| ~ ! [SY48: $i] :
( ~ ( icext @ SV24 @ SY48 )
| ( SY48 = SY59 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[262]) ).
thf(276,plain,
! [SV24: $i,SV39: $i] :
( ( ! [SY62: $i] :
~ ( iext @ uri_rdf_first @ SV39 @ SY62 )
| ~ ( iext @ uri_rdf_rest @ SV39 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV24 @ SV39 )
| ( ic @ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[263]) ).
thf(277,plain,
! [SV25: $i] :
( ( ( ~ ( ~ ( iext @ SV25 @ ( sK3_X @ SV25 ) @ ( sK4_SY15 @ SV25 ) )
| ~ ( iext @ SV25 @ ( sK3_X @ SV25 ) @ ( sK5_SY17 @ SV25 ) ) ) )
= $true )
| ( ( ~ ( ip @ SV25 ) )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV25 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[268]) ).
thf(278,plain,
! [SV25: $i] :
( ( ( ( ( sK4_SY15 @ SV25 )
!= ( sK5_SY17 @ SV25 ) ) )
= $true )
| ( ( ~ ( ip @ SV25 ) )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV25 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[269]) ).
thf(279,plain,
! [SV36: $i] :
( ( ( icext @ uri_owl_FunctionalProperty @ SV36 )
= $false )
| ( ( ! [SY56: $i,SY57: $i,SY58: $i] :
( ~ ( iext @ SV36 @ SY56 @ SY57 )
| ~ ( iext @ SV36 @ SY56 @ SY58 )
| ( SY57 = SY58 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[270]) ).
thf(280,plain,
! [SV37: $i] :
( ( ( icext @ uri_owl_FunctionalProperty @ SV37 )
= $false )
| ( ( ip @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[271]) ).
thf(281,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_rdf_first @ uri_owl_FunctionalProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_BNODE_o ) )
| ~ ( iext @ uri_rdf_type @ sK1_BNODE_o @ uri_owl_Class ) )
| ~ ( iext @ uri_owl_oneOf @ sK1_BNODE_o @ sK2_SY14 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[272]) ).
thf(282,plain,
( ( iext @ uri_rdf_first @ sK2_SY14 @ uri_ex_u )
= $true ),
inference(extcnf_not_neg,[status(thm)],[273]) ).
thf(283,plain,
! [SV24: $i,SV35: $i,SV30: $i] :
( ( ( iext @ uri_rdf_first @ SV30 @ SV35 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ( ( sK6_X @ SV35 @ SV30 @ SV24 )
!= SV35 )
| ~ ( icext @ SV24 @ ( sK6_X @ SV35 @ SV30 @ SV24 ) ) )
| ~ ( ( ( sK6_X @ SV35 @ SV30 @ SV24 )
= SV35 )
| ( icext @ SV24 @ ( sK6_X @ SV35 @ SV30 @ SV24 ) ) ) )
| ~ ( ic @ SV24 )
| ( iext @ uri_owl_oneOf @ SV24 @ SV30 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[274]) ).
thf(284,plain,
! [SV24: $i,SV40: $i,SV38: $i] :
( ( ~ ( iext @ uri_rdf_first @ SV38 @ SV40 )
| ~ ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV24 @ SV38 )
| ~ ( ~ ! [SY63: $i] :
( ( SY63 != SV40 )
| ( icext @ SV24 @ SY63 ) )
| ~ ! [SY64: $i] :
( ~ ( icext @ SV24 @ SY64 )
| ( SY64 = SV40 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[275]) ).
thf(285,plain,
! [SV24: $i,SV39: $i] :
( ( ( ! [SY62: $i] :
~ ( iext @ uri_rdf_first @ SV39 @ SY62 )
| ~ ( iext @ uri_rdf_rest @ SV39 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV24 @ SV39 )
| ( ic @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[276]) ).
thf(286,plain,
! [SV25: $i] :
( ( ( ~ ( iext @ SV25 @ ( sK3_X @ SV25 ) @ ( sK4_SY15 @ SV25 ) )
| ~ ( iext @ SV25 @ ( sK3_X @ SV25 ) @ ( sK5_SY17 @ SV25 ) ) )
= $false )
| ( ( ~ ( ip @ SV25 ) )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[277]) ).
thf(287,plain,
! [SV25: $i] :
( ( ( ( sK4_SY15 @ SV25 )
= ( sK5_SY17 @ SV25 ) )
= $false )
| ( ( ~ ( ip @ SV25 ) )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[278]) ).
thf(288,plain,
! [SV41: $i,SV36: $i] :
( ( ( ! [SY65: $i,SY66: $i] :
( ~ ( iext @ SV36 @ SV41 @ SY65 )
| ~ ( iext @ SV36 @ SV41 @ SY66 )
| ( SY65 = SY66 ) ) )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV36 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[279]) ).
thf(289,plain,
( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_rdf_first @ uri_owl_FunctionalProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_BNODE_o ) )
| ~ ( iext @ uri_rdf_type @ sK1_BNODE_o @ uri_owl_Class ) )
| ~ ( iext @ uri_owl_oneOf @ sK1_BNODE_o @ sK2_SY14 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[281]) ).
thf(290,plain,
! [SV24: $i,SV35: $i,SV30: $i] :
( ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV35 )
= $false )
| ( ( ~ ( ~ ( ( ( sK6_X @ SV35 @ SV30 @ SV24 )
!= SV35 )
| ~ ( icext @ SV24 @ ( sK6_X @ SV35 @ SV30 @ SV24 ) ) )
| ~ ( ( ( sK6_X @ SV35 @ SV30 @ SV24 )
= SV35 )
| ( icext @ SV24 @ ( sK6_X @ SV35 @ SV30 @ SV24 ) ) ) )
| ~ ( ic @ SV24 )
| ( iext @ uri_owl_oneOf @ SV24 @ SV30 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[283]) ).
thf(291,plain,
! [SV24: $i,SV40: $i,SV38: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV38 @ SV40 )
| ~ ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV24 @ SV38 )
| ~ ( ~ ! [SY63: $i] :
( ( SY63 != SV40 )
| ( icext @ SV24 @ SY63 ) )
| ~ ! [SY64: $i] :
( ~ ( icext @ SV24 @ SY64 )
| ( SY64 = SV40 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[284]) ).
thf(292,plain,
! [SV24: $i,SV39: $i] :
( ( ( ! [SY62: $i] :
~ ( iext @ uri_rdf_first @ SV39 @ SY62 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV39 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV24 @ SV39 )
| ( ic @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[285]) ).
thf(293,plain,
! [SV25: $i] :
( ( ( ~ ( iext @ SV25 @ ( sK3_X @ SV25 ) @ ( sK4_SY15 @ SV25 ) ) )
= $false )
| ( ( ~ ( ip @ SV25 ) )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV25 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[286]) ).
thf(294,plain,
! [SV25: $i] :
( ( ( ~ ( iext @ SV25 @ ( sK3_X @ SV25 ) @ ( sK5_SY17 @ SV25 ) ) )
= $false )
| ( ( ~ ( ip @ SV25 ) )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV25 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[286]) ).
thf(295,plain,
! [SV25: $i] :
( ( ( ip @ SV25 )
= $false )
| ( ( ( sK4_SY15 @ SV25 )
= ( sK5_SY17 @ SV25 ) )
= $false )
| ( ( icext @ uri_owl_FunctionalProperty @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[287]) ).
thf(296,plain,
! [SV42: $i,SV41: $i,SV36: $i] :
( ( ( ! [SY67: $i] :
( ~ ( iext @ SV36 @ SV41 @ SV42 )
| ~ ( iext @ SV36 @ SV41 @ SY67 )
| ( SV42 = SY67 ) ) )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV36 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[288]) ).
thf(297,plain,
( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_rdf_first @ uri_owl_FunctionalProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_BNODE_o ) )
| ~ ( iext @ uri_rdf_type @ sK1_BNODE_o @ uri_owl_Class ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[289]) ).
thf(298,plain,
( ( ~ ( iext @ uri_owl_oneOf @ sK1_BNODE_o @ sK2_SY14 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[289]) ).
thf(299,plain,
! [SV24: $i,SV30: $i,SV35: $i] :
( ( ( ~ ( ~ ( ( ( sK6_X @ SV35 @ SV30 @ SV24 )
!= SV35 )
| ~ ( icext @ SV24 @ ( sK6_X @ SV35 @ SV30 @ SV24 ) ) )
| ~ ( ( ( sK6_X @ SV35 @ SV30 @ SV24 )
= SV35 )
| ( icext @ SV24 @ ( sK6_X @ SV35 @ SV30 @ SV24 ) ) ) )
| ~ ( ic @ SV24 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV24 @ SV30 )
= $true )
| ( ( iext @ uri_rdf_first @ SV30 @ SV35 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[290]) ).
thf(300,plain,
! [SV24: $i,SV40: $i,SV38: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV38 @ SV40 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV24 @ SV38 )
| ~ ( ~ ! [SY63: $i] :
( ( SY63 != SV40 )
| ( icext @ SV24 @ SY63 ) )
| ~ ! [SY64: $i] :
( ~ ( icext @ SV24 @ SY64 )
| ( SY64 = SV40 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[291]) ).
thf(301,plain,
! [SV24: $i,SV43: $i,SV39: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV39 @ SV43 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV39 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV24 @ SV39 )
| ( ic @ SV24 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[292]) ).
thf(302,plain,
! [SV25: $i] :
( ( ( iext @ SV25 @ ( sK3_X @ SV25 ) @ ( sK4_SY15 @ SV25 ) )
= $true )
| ( ( ~ ( ip @ SV25 ) )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV25 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[293]) ).
thf(303,plain,
! [SV25: $i] :
( ( ( iext @ SV25 @ ( sK3_X @ SV25 ) @ ( sK5_SY17 @ SV25 ) )
= $true )
| ( ( ~ ( ip @ SV25 ) )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV25 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[294]) ).
thf(304,plain,
! [SV44: $i,SV42: $i,SV41: $i,SV36: $i] :
( ( ( ~ ( iext @ SV36 @ SV41 @ SV42 )
| ~ ( iext @ SV36 @ SV41 @ SV44 )
| ( SV42 = SV44 ) )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV36 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[296]) ).
thf(305,plain,
( ( ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_rdf_first @ uri_owl_FunctionalProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_BNODE_o ) )
| ~ ( iext @ uri_rdf_type @ sK1_BNODE_o @ uri_owl_Class ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[297]) ).
thf(306,plain,
( ( iext @ uri_owl_oneOf @ sK1_BNODE_o @ sK2_SY14 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[298]) ).
thf(307,plain,
! [SV24: $i,SV30: $i,SV35: $i] :
( ( ( ~ ( ~ ( ( ( sK6_X @ SV35 @ SV30 @ SV24 )
!= SV35 )
| ~ ( icext @ SV24 @ ( sK6_X @ SV35 @ SV30 @ SV24 ) ) )
| ~ ( ( ( sK6_X @ SV35 @ SV30 @ SV24 )
= SV35 )
| ( icext @ SV24 @ ( sK6_X @ SV35 @ SV30 @ SV24 ) ) ) ) )
= $true )
| ( ( ~ ( ic @ SV24 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV24 @ SV30 )
= $true )
| ( ( iext @ uri_rdf_first @ SV30 @ SV35 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[299]) ).
thf(308,plain,
! [SV24: $i,SV40: $i,SV38: $i] :
( ( ( iext @ uri_rdf_first @ SV38 @ SV40 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV24 @ SV38 )
| ~ ( ~ ! [SY63: $i] :
( ( SY63 != SV40 )
| ( icext @ SV24 @ SY63 ) )
| ~ ! [SY64: $i] :
( ~ ( icext @ SV24 @ SY64 )
| ( SY64 = SV40 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[300]) ).
thf(309,plain,
! [SV24: $i,SV43: $i,SV39: $i] :
( ( ( iext @ uri_rdf_first @ SV39 @ SV43 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV39 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV24 @ SV39 )
| ( ic @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[301]) ).
thf(310,plain,
! [SV25: $i] :
( ( ( ip @ SV25 )
= $false )
| ( ( iext @ SV25 @ ( sK3_X @ SV25 ) @ ( sK4_SY15 @ SV25 ) )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[302]) ).
thf(311,plain,
! [SV25: $i] :
( ( ( ip @ SV25 )
= $false )
| ( ( iext @ SV25 @ ( sK3_X @ SV25 ) @ ( sK5_SY17 @ SV25 ) )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[303]) ).
thf(312,plain,
! [SV44: $i,SV42: $i,SV41: $i,SV36: $i] :
( ( ( ~ ( iext @ SV36 @ SV41 @ SV42 )
| ~ ( iext @ SV36 @ SV41 @ SV44 ) )
= $true )
| ( ( SV42 = SV44 )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV36 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[304]) ).
thf(313,plain,
( ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_rdf_first @ uri_owl_FunctionalProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_BNODE_o ) )
| ~ ( iext @ uri_rdf_type @ sK1_BNODE_o @ uri_owl_Class ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[305]) ).
thf(314,plain,
! [SV24: $i,SV30: $i,SV35: $i] :
( ( ( ~ ( ( ( sK6_X @ SV35 @ SV30 @ SV24 )
!= SV35 )
| ~ ( icext @ SV24 @ ( sK6_X @ SV35 @ SV30 @ SV24 ) ) )
| ~ ( ( ( sK6_X @ SV35 @ SV30 @ SV24 )
= SV35 )
| ( icext @ SV24 @ ( sK6_X @ SV35 @ SV30 @ SV24 ) ) ) )
= $false )
| ( ( ~ ( ic @ SV24 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV24 @ SV30 )
= $true )
| ( ( iext @ uri_rdf_first @ SV30 @ SV35 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[307]) ).
thf(315,plain,
! [SV24: $i,SV40: $i,SV38: $i] :
( ( ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_first @ SV38 @ SV40 )
= $false )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV24 @ SV38 )
| ~ ( ~ ! [SY63: $i] :
( ( SY63 != SV40 )
| ( icext @ SV24 @ SY63 ) )
| ~ ! [SY64: $i] :
( ~ ( icext @ SV24 @ SY64 )
| ( SY64 = SV40 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[308]) ).
thf(316,plain,
! [SV24: $i,SV43: $i,SV39: $i] :
( ( ( iext @ uri_rdf_rest @ SV39 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_first @ SV39 @ SV43 )
= $false )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV24 @ SV39 )
| ( ic @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[309]) ).
thf(317,plain,
! [SV44: $i,SV42: $i,SV41: $i,SV36: $i] :
( ( ( ~ ( iext @ SV36 @ SV41 @ SV42 ) )
= $true )
| ( ( ~ ( iext @ SV36 @ SV41 @ SV44 ) )
= $true )
| ( ( SV42 = SV44 )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV36 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[312]) ).
thf(318,plain,
( ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_rdf_first @ uri_owl_FunctionalProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_BNODE_o ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[313]) ).
thf(319,plain,
( ( ~ ( iext @ uri_rdf_type @ sK1_BNODE_o @ uri_owl_Class ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[313]) ).
thf(320,plain,
! [SV24: $i,SV30: $i,SV35: $i] :
( ( ( ~ ( ( ( sK6_X @ SV35 @ SV30 @ SV24 )
!= SV35 )
| ~ ( icext @ SV24 @ ( sK6_X @ SV35 @ SV30 @ SV24 ) ) ) )
= $false )
| ( ( ~ ( ic @ SV24 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV24 @ SV30 )
= $true )
| ( ( iext @ uri_rdf_first @ SV30 @ SV35 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[314]) ).
thf(321,plain,
! [SV24: $i,SV30: $i,SV35: $i] :
( ( ( ~ ( ( ( sK6_X @ SV35 @ SV30 @ SV24 )
= SV35 )
| ( icext @ SV24 @ ( sK6_X @ SV35 @ SV30 @ SV24 ) ) ) )
= $false )
| ( ( ~ ( ic @ SV24 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV24 @ SV30 )
= $true )
| ( ( iext @ uri_rdf_first @ SV30 @ SV35 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[314]) ).
thf(322,plain,
! [SV40: $i,SV38: $i,SV24: $i] :
( ( ( ~ ( iext @ uri_owl_oneOf @ SV24 @ SV38 ) )
= $true )
| ( ( ~ ( ~ ! [SY63: $i] :
( ( SY63 != SV40 )
| ( icext @ SV24 @ SY63 ) )
| ~ ! [SY64: $i] :
( ~ ( icext @ SV24 @ SY64 )
| ( SY64 = SV40 ) ) ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV38 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[315]) ).
thf(323,plain,
! [SV43: $i,SV39: $i,SV24: $i] :
( ( ( ~ ( iext @ uri_owl_oneOf @ SV24 @ SV39 ) )
= $true )
| ( ( ic @ SV24 )
= $true )
| ( ( iext @ uri_rdf_first @ SV39 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV39 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[316]) ).
thf(324,plain,
! [SV44: $i,SV42: $i,SV41: $i,SV36: $i] :
( ( ( iext @ SV36 @ SV41 @ SV42 )
= $false )
| ( ( ~ ( iext @ SV36 @ SV41 @ SV44 ) )
= $true )
| ( ( SV42 = SV44 )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[317]) ).
thf(325,plain,
( ( ~ ( ~ ( iext @ uri_rdf_type @ uri_rdf_first @ uri_owl_FunctionalProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_BNODE_o ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[318]) ).
thf(326,plain,
( ( iext @ uri_rdf_type @ sK1_BNODE_o @ uri_owl_Class )
= $true ),
inference(extcnf_not_neg,[status(thm)],[319]) ).
thf(327,plain,
! [SV24: $i,SV30: $i,SV35: $i] :
( ( ( ( ( sK6_X @ SV35 @ SV30 @ SV24 )
!= SV35 )
| ~ ( icext @ SV24 @ ( sK6_X @ SV35 @ SV30 @ SV24 ) ) )
= $true )
| ( ( ~ ( ic @ SV24 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV24 @ SV30 )
= $true )
| ( ( iext @ uri_rdf_first @ SV30 @ SV35 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[320]) ).
thf(328,plain,
! [SV24: $i,SV30: $i,SV35: $i] :
( ( ( ( ( sK6_X @ SV35 @ SV30 @ SV24 )
= SV35 )
| ( icext @ SV24 @ ( sK6_X @ SV35 @ SV30 @ SV24 ) ) )
= $true )
| ( ( ~ ( ic @ SV24 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV24 @ SV30 )
= $true )
| ( ( iext @ uri_rdf_first @ SV30 @ SV35 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[321]) ).
thf(329,plain,
! [SV40: $i,SV38: $i,SV24: $i] :
( ( ( iext @ uri_owl_oneOf @ SV24 @ SV38 )
= $false )
| ( ( ~ ( ~ ! [SY63: $i] :
( ( SY63 != SV40 )
| ( icext @ SV24 @ SY63 ) )
| ~ ! [SY64: $i] :
( ~ ( icext @ SV24 @ SY64 )
| ( SY64 = SV40 ) ) ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV38 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[322]) ).
thf(330,plain,
! [SV43: $i,SV39: $i,SV24: $i] :
( ( ( iext @ uri_owl_oneOf @ SV24 @ SV39 )
= $false )
| ( ( ic @ SV24 )
= $true )
| ( ( iext @ uri_rdf_first @ SV39 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV39 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[323]) ).
thf(331,plain,
! [SV42: $i,SV44: $i,SV41: $i,SV36: $i] :
( ( ( iext @ SV36 @ SV41 @ SV44 )
= $false )
| ( ( iext @ SV36 @ SV41 @ SV42 )
= $false )
| ( ( SV42 = SV44 )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[324]) ).
thf(332,plain,
( ( ~ ( iext @ uri_rdf_type @ uri_rdf_first @ uri_owl_FunctionalProperty )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_BNODE_o ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[325]) ).
thf(333,plain,
! [SV24: $i,SV30: $i,SV35: $i] :
( ( ( ( ( sK6_X @ SV35 @ SV30 @ SV24 )
!= SV35 ) )
= $true )
| ( ( ~ ( icext @ SV24 @ ( sK6_X @ SV35 @ SV30 @ SV24 ) ) )
= $true )
| ( ( ~ ( ic @ SV24 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV24 @ SV30 )
= $true )
| ( ( iext @ uri_rdf_first @ SV30 @ SV35 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[327]) ).
thf(334,plain,
! [SV24: $i,SV30: $i,SV35: $i] :
( ( ( ( sK6_X @ SV35 @ SV30 @ SV24 )
= SV35 )
= $true )
| ( ( icext @ SV24 @ ( sK6_X @ SV35 @ SV30 @ SV24 ) )
= $true )
| ( ( ~ ( ic @ SV24 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV24 @ SV30 )
= $true )
| ( ( iext @ uri_rdf_first @ SV30 @ SV35 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[328]) ).
thf(335,plain,
! [SV38: $i,SV24: $i,SV40: $i] :
( ( ( ~ ! [SY63: $i] :
( ( SY63 != SV40 )
| ( icext @ SV24 @ SY63 ) )
| ~ ! [SY64: $i] :
( ~ ( icext @ SV24 @ SY64 )
| ( SY64 = SV40 ) ) )
= $false )
| ( ( iext @ uri_owl_oneOf @ SV24 @ SV38 )
= $false )
| ( ( iext @ uri_rdf_first @ SV38 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[329]) ).
thf(336,plain,
( ( ~ ( iext @ uri_rdf_type @ uri_rdf_first @ uri_owl_FunctionalProperty ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[332]) ).
thf(337,plain,
( ( ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_BNODE_o ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[332]) ).
thf(338,plain,
! [SV24: $i,SV30: $i,SV35: $i] :
( ( ( ( sK6_X @ SV35 @ SV30 @ SV24 )
= SV35 )
= $false )
| ( ( ~ ( icext @ SV24 @ ( sK6_X @ SV35 @ SV30 @ SV24 ) ) )
= $true )
| ( ( ~ ( ic @ SV24 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV24 @ SV30 )
= $true )
| ( ( iext @ uri_rdf_first @ SV30 @ SV35 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[333]) ).
thf(339,plain,
! [SV30: $i,SV35: $i,SV24: $i] :
( ( ( ic @ SV24 )
= $false )
| ( ( icext @ SV24 @ ( sK6_X @ SV35 @ SV30 @ SV24 ) )
= $true )
| ( ( ( sK6_X @ SV35 @ SV30 @ SV24 )
= SV35 )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV24 @ SV30 )
= $true )
| ( ( iext @ uri_rdf_first @ SV30 @ SV35 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[334]) ).
thf(340,plain,
! [SV38: $i,SV24: $i,SV40: $i] :
( ( ( ~ ! [SY63: $i] :
( ( SY63 != SV40 )
| ( icext @ SV24 @ SY63 ) ) )
= $false )
| ( ( iext @ uri_owl_oneOf @ SV24 @ SV38 )
= $false )
| ( ( iext @ uri_rdf_first @ SV38 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[335]) ).
thf(341,plain,
! [SV38: $i,SV40: $i,SV24: $i] :
( ( ( ~ ! [SY64: $i] :
( ~ ( icext @ SV24 @ SY64 )
| ( SY64 = SV40 ) ) )
= $false )
| ( ( iext @ uri_owl_oneOf @ SV24 @ SV38 )
= $false )
| ( ( iext @ uri_rdf_first @ SV38 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[335]) ).
thf(342,plain,
( ( iext @ uri_rdf_type @ uri_rdf_first @ uri_owl_FunctionalProperty )
= $true ),
inference(extcnf_not_neg,[status(thm)],[336]) ).
thf(343,plain,
( ( iext @ uri_rdf_type @ uri_ex_w @ sK1_BNODE_o )
= $true ),
inference(extcnf_not_neg,[status(thm)],[337]) ).
thf(344,plain,
! [SV30: $i,SV35: $i,SV24: $i] :
( ( ( icext @ SV24 @ ( sK6_X @ SV35 @ SV30 @ SV24 ) )
= $false )
| ( ( ( sK6_X @ SV35 @ SV30 @ SV24 )
= SV35 )
= $false )
| ( ( ~ ( ic @ SV24 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV24 @ SV30 )
= $true )
| ( ( iext @ uri_rdf_first @ SV30 @ SV35 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[338]) ).
thf(345,plain,
! [SV38: $i,SV24: $i,SV40: $i] :
( ( ( ! [SY63: $i] :
( ( SY63 != SV40 )
| ( icext @ SV24 @ SY63 ) ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV24 @ SV38 )
= $false )
| ( ( iext @ uri_rdf_first @ SV38 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[340]) ).
thf(346,plain,
! [SV38: $i,SV40: $i,SV24: $i] :
( ( ( ! [SY64: $i] :
( ~ ( icext @ SV24 @ SY64 )
| ( SY64 = SV40 ) ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV24 @ SV38 )
= $false )
| ( ( iext @ uri_rdf_first @ SV38 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[341]) ).
thf(347,plain,
! [SV30: $i,SV35: $i,SV24: $i] :
( ( ( ic @ SV24 )
= $false )
| ( ( ( sK6_X @ SV35 @ SV30 @ SV24 )
= SV35 )
= $false )
| ( ( icext @ SV24 @ ( sK6_X @ SV35 @ SV30 @ SV24 ) )
= $false )
| ( ( iext @ uri_owl_oneOf @ SV24 @ SV30 )
= $true )
| ( ( iext @ uri_rdf_first @ SV30 @ SV35 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[344]) ).
thf(348,plain,
! [SV38: $i,SV24: $i,SV40: $i,SV45: $i] :
( ( ( ( SV45 != SV40 )
| ( icext @ SV24 @ SV45 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV24 @ SV38 )
= $false )
| ( ( iext @ uri_rdf_first @ SV38 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[345]) ).
thf(349,plain,
! [SV38: $i,SV40: $i,SV46: $i,SV24: $i] :
( ( ( ~ ( icext @ SV24 @ SV46 )
| ( SV46 = SV40 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV24 @ SV38 )
= $false )
| ( ( iext @ uri_rdf_first @ SV38 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[346]) ).
thf(350,plain,
! [SV38: $i,SV24: $i,SV40: $i,SV45: $i] :
( ( ( ( SV45 != SV40 ) )
= $true )
| ( ( icext @ SV24 @ SV45 )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV24 @ SV38 )
= $false )
| ( ( iext @ uri_rdf_first @ SV38 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[348]) ).
thf(351,plain,
! [SV38: $i,SV40: $i,SV46: $i,SV24: $i] :
( ( ( ~ ( icext @ SV24 @ SV46 ) )
= $true )
| ( ( SV46 = SV40 )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV24 @ SV38 )
= $false )
| ( ( iext @ uri_rdf_first @ SV38 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[349]) ).
thf(352,plain,
! [SV38: $i,SV24: $i,SV40: $i,SV45: $i] :
( ( ( SV45 = SV40 )
= $false )
| ( ( icext @ SV24 @ SV45 )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV24 @ SV38 )
= $false )
| ( ( iext @ uri_rdf_first @ SV38 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[350]) ).
thf(353,plain,
! [SV38: $i,SV40: $i,SV46: $i,SV24: $i] :
( ( ( icext @ SV24 @ SV46 )
= $false )
| ( ( SV46 = SV40 )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV24 @ SV38 )
= $false )
| ( ( iext @ uri_rdf_first @ SV38 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[351]) ).
thf(354,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[200,353,352,347,343,342,339,331,330,326,311,310,306,295,282,280,267,266,265,264,249,218]) ).
thf(355,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[354,188]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWB023+2 : TPTP v8.1.0. Released v5.2.0.
% 0.06/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 1 03:29:44 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35
% 0.13/0.35 No.of.Axioms: 5
% 0.13/0.35
% 0.13/0.35 Length.of.Defs: 0
% 0.13/0.35
% 0.13/0.35 Contains.Choice.Funs: false
% 0.13/0.36 (rf:0,axioms:5,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:7,loop_count:0,foatp_calls:0,translation:fof_full).....................
% 0.20/0.57
% 0.20/0.57 ********************************
% 0.20/0.57 * All subproblems solved! *
% 0.20/0.57 ********************************
% 0.20/0.57 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:5,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:354,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.47/0.62
% 0.47/0.62 %**** Beginning of derivation protocol ****
% 0.47/0.62 % SZS output start CNFRefutation
% See solution above
% 0.47/0.62
% 0.47/0.62 %**** End of derivation protocol ****
% 0.47/0.62 %**** no. of clauses in derivation: 355 ****
% 0.47/0.62 %**** clause counter: 354 ****
% 0.47/0.62
% 0.47/0.62 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:5,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:354,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------