%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SWB021+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:50:45 AM UTC 2026
% Result : Theorem 184.21s 31.09s
% Output : CNFRefutation 184.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 69
% Number of leaves : 8
% Syntax : Number of formulae : 580 ( 244 unt; 0 typ; 0 def)
% Number of atoms : 10458 (2982 equ; 0 cnn)
% Maximal formula atoms : 22 ( 18 avg)
% Number of connectives : 29665 (5989 ~;5126 |; 182 &;18342 @)
% ( 16 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 33 ( 30 usr; 25 con; 0-7 aty)
% Number of variables : 2917 ( 0 ^;2899 !; 18 ?;2917 :)
% 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_sK10_X,type,
sK10_X: $i > $i > $i ).
thf(tp_sK11_X,type,
sK11_X: $i > $i > $i > $i > $i > $i > $i > $i ).
thf(tp_sK12_X,type,
sK12_X: $i > $i > $i > $i > $i > $i ).
thf(tp_sK13_X,type,
sK13_X: $i > $i > $i > $i > $i > $i ).
thf(tp_sK1_BNODE_l11,type,
sK1_BNODE_l11: $i ).
thf(tp_sK2_SY36,type,
sK2_SY36: $i ).
thf(tp_sK3_SY44,type,
sK3_SY44: $i ).
thf(tp_sK4_SY51,type,
sK4_SY51: $i ).
thf(tp_sK5_SY57,type,
sK5_SY57: $i ).
thf(tp_sK6_SY62,type,
sK6_SY62: $i ).
thf(tp_sK7_SY66,type,
sK7_SY66: $i ).
thf(tp_sK8_SY69,type,
sK8_SY69: $i ).
thf(tp_sK9_SY71,type,
sK9_SY71: $i ).
thf(tp_uri_ex_c1,type,
uri_ex_c1: $i ).
thf(tp_uri_ex_c2,type,
uri_ex_c2: $i ).
thf(tp_uri_ex_c3,type,
uri_ex_c3: $i ).
thf(tp_uri_ex_c4,type,
uri_ex_c4: $i ).
thf(tp_uri_ex_w1,type,
uri_ex_w1: $i ).
thf(tp_uri_ex_w2,type,
uri_ex_w2: $i ).
thf(tp_uri_ex_w3,type,
uri_ex_w3: $i ).
thf(tp_uri_owl_equivalentClass,type,
uri_owl_equivalentClass: $i ).
thf(tp_uri_owl_oneOf,type,
uri_owl_oneOf: $i ).
thf(tp_uri_owl_unionOf,type,
uri_owl_unionOf: $i ).
thf(tp_uri_rdf_List,type,
uri_rdf_List: $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(1,axiom,
? [BNODE_l11: $i,BNODE_l12: $i,BNODE_l21: $i,BNODE_l22: $i,BNODE_l31: $i,BNODE_l32: $i,BNODE_l33: $i,BNODE_l41: $i,BNODE_l42: $i] :
( ( iext @ uri_owl_oneOf @ uri_ex_c1 @ BNODE_l11 )
& ( iext @ uri_rdf_first @ BNODE_l11 @ uri_ex_w1 )
& ( iext @ uri_rdf_rest @ BNODE_l11 @ BNODE_l12 )
& ( iext @ uri_rdf_first @ BNODE_l12 @ uri_ex_w2 )
& ( iext @ uri_rdf_rest @ BNODE_l12 @ uri_rdf_nil )
& ( iext @ uri_owl_oneOf @ uri_ex_c2 @ BNODE_l21 )
& ( iext @ uri_rdf_first @ BNODE_l21 @ uri_ex_w2 )
& ( iext @ uri_rdf_rest @ BNODE_l21 @ BNODE_l22 )
& ( iext @ uri_rdf_first @ BNODE_l22 @ uri_ex_w3 )
& ( iext @ uri_rdf_rest @ BNODE_l22 @ uri_rdf_nil )
& ( iext @ uri_owl_oneOf @ uri_ex_c3 @ BNODE_l31 )
& ( iext @ uri_rdf_first @ BNODE_l31 @ uri_ex_w1 )
& ( iext @ uri_rdf_rest @ BNODE_l31 @ BNODE_l32 )
& ( iext @ uri_rdf_first @ BNODE_l32 @ uri_ex_w2 )
& ( iext @ uri_rdf_rest @ BNODE_l32 @ BNODE_l33 )
& ( iext @ uri_rdf_first @ BNODE_l33 @ uri_ex_w3 )
& ( iext @ uri_rdf_rest @ BNODE_l33 @ uri_rdf_nil )
& ( iext @ uri_owl_unionOf @ uri_ex_c4 @ BNODE_l41 )
& ( iext @ uri_rdf_first @ BNODE_l41 @ uri_ex_c1 )
& ( iext @ uri_rdf_rest @ BNODE_l41 @ BNODE_l42 )
& ( iext @ uri_rdf_first @ BNODE_l42 @ uri_ex_c2 )
& ( iext @ uri_rdf_rest @ BNODE_l42 @ uri_rdf_nil ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_021_Composite_Enumerations) ).
thf(2,axiom,
! [C1: $i,C2: $i] :
( ( iext @ uri_owl_equivalentClass @ C1 @ C2 )
<=> ( ( ic @ C1 )
& ( ic @ C2 )
& ! [X: $i] :
( ( icext @ C1 @ X )
<=> ( icext @ C2 @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).
thf(3,axiom,
! [Z: $i,S1: $i,A1: $i,S2: $i,A2: $i,S3: $i,A3: $i] :
( ( ( iext @ uri_rdf_first @ S1 @ A1 )
& ( iext @ uri_rdf_rest @ S1 @ S2 )
& ( iext @ uri_rdf_first @ S2 @ A2 )
& ( iext @ uri_rdf_rest @ S2 @ S3 )
& ( iext @ uri_rdf_first @ S3 @ A3 )
& ( iext @ uri_rdf_rest @ S3 @ uri_rdf_nil ) )
=> ( ( iext @ uri_owl_oneOf @ Z @ S1 )
<=> ( ( ic @ Z )
& ! [X: $i] :
( ( icext @ Z @ X )
<=> ( ( X = A1 )
| ( X = A2 )
| ( X = A3 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_enum_class_003) ).
thf(4,axiom,
! [Z: $i,S1: $i,A1: $i,S2: $i,A2: $i] :
( ( ( iext @ uri_rdf_first @ S1 @ A1 )
& ( iext @ uri_rdf_rest @ S1 @ S2 )
& ( iext @ uri_rdf_first @ S2 @ A2 )
& ( iext @ uri_rdf_rest @ S2 @ uri_rdf_nil ) )
=> ( ( iext @ uri_owl_oneOf @ Z @ S1 )
<=> ( ( ic @ Z )
& ! [X: $i] :
( ( icext @ Z @ X )
<=> ( ( X = A1 )
| ( X = A2 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_enum_class_002) ).
thf(5,axiom,
! [Z: $i,S1: $i,C1: $i,S2: $i,C2: $i] :
( ( ( iext @ uri_rdf_first @ S1 @ C1 )
& ( iext @ uri_rdf_rest @ S1 @ S2 )
& ( iext @ uri_rdf_first @ S2 @ C2 )
& ( iext @ uri_rdf_rest @ S2 @ uri_rdf_nil ) )
=> ( ( iext @ uri_owl_unionOf @ Z @ S1 )
<=> ( ( ic @ Z )
& ( ic @ C1 )
& ( ic @ C2 )
& ! [X: $i] :
( ( icext @ Z @ X )
<=> ( ( icext @ C1 @ X )
| ( icext @ C2 @ X ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_unionof_class_002) ).
thf(6,axiom,
! [X: $i,Y: $i] :
( ( iext @ uri_owl_unionOf @ X @ Y )
=> ( ( ic @ X )
& ( icext @ uri_rdf_List @ Y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_unionof_ext) ).
thf(7,axiom,
! [X: $i,Y: $i] :
( ( iext @ uri_owl_oneOf @ X @ Y )
=> ( ( ic @ X )
& ( icext @ uri_rdf_List @ Y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_oneof_ext) ).
thf(8,conjecture,
iext @ uri_owl_equivalentClass @ uri_ex_c3 @ uri_ex_c4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_021_Composite_Enumerations) ).
thf(9,negated_conjecture,
( ( iext @ uri_owl_equivalentClass @ uri_ex_c3 @ uri_ex_c4 )
= $false ),
inference(negate_conjecture,[status(cth)],[8]) ).
thf(10,plain,
( ( iext @ uri_owl_equivalentClass @ uri_ex_c3 @ uri_ex_c4 )
= $false ),
inference(unfold_def,[status(thm)],[9]) ).
thf(11,plain,
( ( ? [BNODE_l11: $i,BNODE_l12: $i,BNODE_l21: $i,BNODE_l22: $i,BNODE_l31: $i,BNODE_l32: $i,BNODE_l33: $i,BNODE_l41: $i,BNODE_l42: $i] :
( ( iext @ uri_owl_oneOf @ uri_ex_c1 @ BNODE_l11 )
& ( iext @ uri_rdf_first @ BNODE_l11 @ uri_ex_w1 )
& ( iext @ uri_rdf_rest @ BNODE_l11 @ BNODE_l12 )
& ( iext @ uri_rdf_first @ BNODE_l12 @ uri_ex_w2 )
& ( iext @ uri_rdf_rest @ BNODE_l12 @ uri_rdf_nil )
& ( iext @ uri_owl_oneOf @ uri_ex_c2 @ BNODE_l21 )
& ( iext @ uri_rdf_first @ BNODE_l21 @ uri_ex_w2 )
& ( iext @ uri_rdf_rest @ BNODE_l21 @ BNODE_l22 )
& ( iext @ uri_rdf_first @ BNODE_l22 @ uri_ex_w3 )
& ( iext @ uri_rdf_rest @ BNODE_l22 @ uri_rdf_nil )
& ( iext @ uri_owl_oneOf @ uri_ex_c3 @ BNODE_l31 )
& ( iext @ uri_rdf_first @ BNODE_l31 @ uri_ex_w1 )
& ( iext @ uri_rdf_rest @ BNODE_l31 @ BNODE_l32 )
& ( iext @ uri_rdf_first @ BNODE_l32 @ uri_ex_w2 )
& ( iext @ uri_rdf_rest @ BNODE_l32 @ BNODE_l33 )
& ( iext @ uri_rdf_first @ BNODE_l33 @ uri_ex_w3 )
& ( iext @ uri_rdf_rest @ BNODE_l33 @ uri_rdf_nil )
& ( iext @ uri_owl_unionOf @ uri_ex_c4 @ BNODE_l41 )
& ( iext @ uri_rdf_first @ BNODE_l41 @ uri_ex_c1 )
& ( iext @ uri_rdf_rest @ BNODE_l41 @ BNODE_l42 )
& ( iext @ uri_rdf_first @ BNODE_l42 @ uri_ex_c2 )
& ( iext @ uri_rdf_rest @ BNODE_l42 @ uri_rdf_nil ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(12,plain,
( ( ! [C1: $i,C2: $i] :
( ( iext @ uri_owl_equivalentClass @ C1 @ C2 )
<=> ( ( ic @ C1 )
& ( ic @ C2 )
& ! [X: $i] :
( ( icext @ C1 @ X )
<=> ( icext @ C2 @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(13,plain,
( ( ! [Z: $i,S1: $i,A1: $i,S2: $i,A2: $i,S3: $i,A3: $i] :
( ( ( iext @ uri_rdf_first @ S1 @ A1 )
& ( iext @ uri_rdf_rest @ S1 @ S2 )
& ( iext @ uri_rdf_first @ S2 @ A2 )
& ( iext @ uri_rdf_rest @ S2 @ S3 )
& ( iext @ uri_rdf_first @ S3 @ A3 )
& ( iext @ uri_rdf_rest @ S3 @ uri_rdf_nil ) )
=> ( ( iext @ uri_owl_oneOf @ Z @ S1 )
<=> ( ( ic @ Z )
& ! [X: $i] :
( ( icext @ Z @ X )
<=> ( ( X = A1 )
| ( X = A2 )
| ( X = A3 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(14,plain,
( ( ! [Z: $i,S1: $i,A1: $i,S2: $i,A2: $i] :
( ( ( iext @ uri_rdf_first @ S1 @ A1 )
& ( iext @ uri_rdf_rest @ S1 @ S2 )
& ( iext @ uri_rdf_first @ S2 @ A2 )
& ( iext @ uri_rdf_rest @ S2 @ uri_rdf_nil ) )
=> ( ( iext @ uri_owl_oneOf @ Z @ S1 )
<=> ( ( ic @ Z )
& ! [X: $i] :
( ( icext @ Z @ X )
<=> ( ( X = A1 )
| ( X = A2 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(15,plain,
( ( ! [Z: $i,S1: $i,C1: $i,S2: $i,C2: $i] :
( ( ( iext @ uri_rdf_first @ S1 @ C1 )
& ( iext @ uri_rdf_rest @ S1 @ S2 )
& ( iext @ uri_rdf_first @ S2 @ C2 )
& ( iext @ uri_rdf_rest @ S2 @ uri_rdf_nil ) )
=> ( ( iext @ uri_owl_unionOf @ Z @ S1 )
<=> ( ( ic @ Z )
& ( ic @ C1 )
& ( ic @ C2 )
& ! [X: $i] :
( ( icext @ Z @ X )
<=> ( ( icext @ C1 @ X )
| ( icext @ C2 @ X ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(16,plain,
( ( ! [X: $i,Y: $i] :
( ( iext @ uri_owl_unionOf @ X @ Y )
=> ( ( ic @ X )
& ( icext @ uri_rdf_List @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(17,plain,
( ( ! [X: $i,Y: $i] :
( ( iext @ uri_owl_oneOf @ X @ Y )
=> ( ( ic @ X )
& ( icext @ uri_rdf_List @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(18,plain,
( ( ~ ( iext @ uri_owl_equivalentClass @ uri_ex_c3 @ uri_ex_c4 ) )
= $true ),
inference(polarity_switch,[status(thm)],[10]) ).
thf(19,plain,
( ( ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
& ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 )
& ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 )
& ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 )
& ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil )
& ( iext @ uri_owl_oneOf @ uri_ex_c2 @ sK3_SY44 )
& ( iext @ uri_rdf_first @ sK3_SY44 @ uri_ex_w2 )
& ( iext @ uri_rdf_rest @ sK3_SY44 @ sK4_SY51 )
& ( iext @ uri_rdf_first @ sK4_SY51 @ uri_ex_w3 )
& ( iext @ uri_rdf_rest @ sK4_SY51 @ uri_rdf_nil )
& ( iext @ uri_owl_oneOf @ uri_ex_c3 @ sK5_SY57 )
& ( iext @ uri_rdf_first @ sK5_SY57 @ uri_ex_w1 )
& ( iext @ uri_rdf_rest @ sK5_SY57 @ sK6_SY62 )
& ( iext @ uri_rdf_first @ sK6_SY62 @ uri_ex_w2 )
& ( iext @ uri_rdf_rest @ sK6_SY62 @ sK7_SY66 )
& ( iext @ uri_rdf_first @ sK7_SY66 @ uri_ex_w3 )
& ( iext @ uri_rdf_rest @ sK7_SY66 @ uri_rdf_nil )
& ( iext @ uri_owl_unionOf @ uri_ex_c4 @ sK8_SY69 )
& ( iext @ uri_rdf_first @ sK8_SY69 @ uri_ex_c1 )
& ( iext @ uri_rdf_rest @ sK8_SY69 @ sK9_SY71 )
& ( iext @ uri_rdf_first @ sK9_SY71 @ uri_ex_c2 )
& ( iext @ uri_rdf_rest @ sK9_SY71 @ uri_rdf_nil ) )
= $true ),
inference(extcnf_combined,[status(esa)],[11]) ).
thf(20,plain,
( ( ! [C1: $i,C2: $i] :
( ( ( ~ ( icext @ C1 @ ( sK10_X @ C2 @ C1 ) )
| ~ ( icext @ C2 @ ( sK10_X @ C2 @ C1 ) ) )
& ( ( icext @ C1 @ ( sK10_X @ C2 @ C1 ) )
| ( icext @ C2 @ ( sK10_X @ C2 @ C1 ) ) ) )
| ~ ( ic @ C1 )
| ~ ( ic @ C2 )
| ( iext @ uri_owl_equivalentClass @ C1 @ C2 ) )
& ! [C1: $i,C2: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ C1 @ C2 )
| ( ! [X: $i] :
( ~ ( icext @ C1 @ X )
| ( icext @ C2 @ X ) )
& ! [X: $i] :
( ~ ( icext @ C2 @ X )
| ( icext @ C1 @ X ) ) ) )
& ! [C1: $i] :
( ! [C2: $i] :
~ ( iext @ uri_owl_equivalentClass @ C1 @ C2 )
| ( ic @ C1 ) )
& ! [C1: $i,C2: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ C1 @ C2 )
| ( ic @ C2 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[12]) ).
thf(21,plain,
( ( ! [Z: $i,S1: $i,A1: $i,S2: $i,A2: $i] :
( ! [S3: $i,A3: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ A1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ S2 )
| ~ ( iext @ uri_rdf_first @ S2 @ A2 )
| ~ ( iext @ uri_rdf_rest @ S2 @ S3 )
| ~ ( iext @ uri_rdf_first @ S3 @ A3 )
| ~ ( iext @ uri_rdf_rest @ S3 @ uri_rdf_nil )
| ( ( ~ ( icext @ Z @ ( sK11_X @ A3 @ S3 @ A2 @ S2 @ A1 @ S1 @ Z ) )
| ( ( sK11_X @ A3 @ S3 @ A2 @ S2 @ A1 @ S1 @ Z )
!= A3 ) )
& ( ~ ( icext @ Z @ ( sK11_X @ A3 @ S3 @ A2 @ S2 @ A1 @ S1 @ Z ) )
| ( ( sK11_X @ A3 @ S3 @ A2 @ S2 @ A1 @ S1 @ Z )
!= A1 ) )
& ( ~ ( icext @ Z @ ( sK11_X @ A3 @ S3 @ A2 @ S2 @ A1 @ S1 @ Z ) )
| ( ( sK11_X @ A3 @ S3 @ A2 @ S2 @ A1 @ S1 @ Z )
!= A2 ) )
& ( ( icext @ Z @ ( sK11_X @ A3 @ S3 @ A2 @ S2 @ A1 @ S1 @ Z ) )
| ( ( sK11_X @ A3 @ S3 @ A2 @ S2 @ A1 @ S1 @ Z )
= A3 )
| ( ( sK11_X @ A3 @ S3 @ A2 @ S2 @ A1 @ S1 @ Z )
= A1 )
| ( ( sK11_X @ A3 @ S3 @ A2 @ S2 @ A1 @ S1 @ Z )
= A2 ) ) )
| ~ ( ic @ Z )
| ( iext @ uri_owl_oneOf @ Z @ S1 ) )
& ! [S3: $i,A3: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ A1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ S2 )
| ~ ( iext @ uri_rdf_first @ S2 @ A2 )
| ~ ( iext @ uri_rdf_rest @ S2 @ S3 )
| ~ ( iext @ uri_rdf_first @ S3 @ A3 )
| ~ ( iext @ uri_rdf_rest @ S3 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ Z @ S1 )
| ( ! [X: $i] :
( ~ ( icext @ Z @ X )
| ( X = A3 )
| ( X = A1 )
| ( X = A2 ) )
& ! [X: $i] :
( ( X != A3 )
| ( icext @ Z @ X ) )
& ! [X: $i] :
( ( X != A1 )
| ( icext @ Z @ X ) )
& ! [X: $i] :
( ( X != A2 )
| ( icext @ Z @ X ) ) ) )
& ( ! [S3: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ A1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ S2 )
| ~ ( iext @ uri_rdf_first @ S2 @ A2 )
| ~ ( iext @ uri_rdf_rest @ S2 @ S3 )
| ! [A3: $i] :
~ ( iext @ uri_rdf_first @ S3 @ A3 )
| ~ ( iext @ uri_rdf_rest @ S3 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ Z @ S1 )
| ( ic @ Z ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[13]) ).
thf(22,plain,
( ( ! [Z: $i,S1: $i,A1: $i] :
( ! [S2: $i,A2: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ A1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ S2 )
| ~ ( iext @ uri_rdf_first @ S2 @ A2 )
| ~ ( iext @ uri_rdf_rest @ S2 @ uri_rdf_nil )
| ( ( ~ ( icext @ Z @ ( sK12_X @ A2 @ S2 @ A1 @ S1 @ Z ) )
| ( ( sK12_X @ A2 @ S2 @ A1 @ S1 @ Z )
!= A1 ) )
& ( ~ ( icext @ Z @ ( sK12_X @ A2 @ S2 @ A1 @ S1 @ Z ) )
| ( ( sK12_X @ A2 @ S2 @ A1 @ S1 @ Z )
!= A2 ) )
& ( ( icext @ Z @ ( sK12_X @ A2 @ S2 @ A1 @ S1 @ Z ) )
| ( ( sK12_X @ A2 @ S2 @ A1 @ S1 @ Z )
= A1 )
| ( ( sK12_X @ A2 @ S2 @ A1 @ S1 @ Z )
= A2 ) ) )
| ~ ( ic @ Z )
| ( iext @ uri_owl_oneOf @ Z @ S1 ) )
& ! [S2: $i,A2: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ A1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ S2 )
| ~ ( iext @ uri_rdf_first @ S2 @ A2 )
| ~ ( iext @ uri_rdf_rest @ S2 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ Z @ S1 )
| ( ! [X: $i] :
( ~ ( icext @ Z @ X )
| ( X = A1 )
| ( X = A2 ) )
& ! [X: $i] :
( ( X != A1 )
| ( icext @ Z @ X ) )
& ! [X: $i] :
( ( X != A2 )
| ( icext @ Z @ X ) ) ) )
& ( ! [S2: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ A1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ S2 )
| ! [A2: $i] :
~ ( iext @ uri_rdf_first @ S2 @ A2 )
| ~ ( iext @ uri_rdf_rest @ S2 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ Z @ S1 )
| ( ic @ Z ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[14]) ).
thf(23,plain,
( ( ! [Z: $i,S1: $i,C1: $i] :
( ! [S2: $i,C2: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ C1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ S2 )
| ~ ( iext @ uri_rdf_first @ S2 @ C2 )
| ~ ( iext @ uri_rdf_rest @ S2 @ uri_rdf_nil )
| ( ( ~ ( icext @ Z @ ( sK13_X @ C2 @ S2 @ C1 @ S1 @ Z ) )
| ~ ( icext @ C1 @ ( sK13_X @ C2 @ S2 @ C1 @ S1 @ Z ) ) )
& ( ~ ( icext @ Z @ ( sK13_X @ C2 @ S2 @ C1 @ S1 @ Z ) )
| ~ ( icext @ C2 @ ( sK13_X @ C2 @ S2 @ C1 @ S1 @ Z ) ) )
& ( ( icext @ Z @ ( sK13_X @ C2 @ S2 @ C1 @ S1 @ Z ) )
| ( icext @ C1 @ ( sK13_X @ C2 @ S2 @ C1 @ S1 @ Z ) )
| ( icext @ C2 @ ( sK13_X @ C2 @ S2 @ C1 @ S1 @ Z ) ) ) )
| ~ ( ic @ Z )
| ~ ( ic @ C1 )
| ~ ( ic @ C2 )
| ( iext @ uri_owl_unionOf @ Z @ S1 ) )
& ! [S2: $i,C2: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ C1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ S2 )
| ~ ( iext @ uri_rdf_first @ S2 @ C2 )
| ~ ( iext @ uri_rdf_rest @ S2 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ Z @ S1 )
| ( ! [X: $i] :
( ~ ( icext @ Z @ X )
| ( icext @ C1 @ X )
| ( icext @ C2 @ X ) )
& ! [X: $i] :
( ~ ( icext @ C1 @ X )
| ( icext @ Z @ X ) )
& ! [X: $i] :
( ~ ( icext @ C2 @ X )
| ( icext @ Z @ X ) ) ) )
& ( ! [S2: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ C1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ S2 )
| ! [C2: $i] :
~ ( iext @ uri_rdf_first @ S2 @ C2 )
| ~ ( iext @ uri_rdf_rest @ S2 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ Z @ S1 )
| ( ic @ Z ) )
& ( ! [S2: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ C1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ S2 )
| ! [C2: $i] :
~ ( iext @ uri_rdf_first @ S2 @ C2 )
| ~ ( iext @ uri_rdf_rest @ S2 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ Z @ S1 )
| ( ic @ C1 ) )
& ! [S2: $i,C2: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ C1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ S2 )
| ~ ( iext @ uri_rdf_first @ S2 @ C2 )
| ~ ( iext @ uri_rdf_rest @ S2 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ Z @ S1 )
| ( ic @ C2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[15]) ).
thf(24,plain,
( ( ! [X: $i] :
( ! [Y: $i] :
~ ( iext @ uri_owl_unionOf @ X @ Y )
| ( ic @ X ) )
& ! [X: $i,Y: $i] :
( ~ ( iext @ uri_owl_unionOf @ X @ Y )
| ( icext @ uri_rdf_List @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[16]) ).
thf(25,plain,
( ( ! [X: $i] :
( ! [Y: $i] :
~ ( iext @ uri_owl_oneOf @ X @ Y )
| ( ic @ X ) )
& ! [X: $i,Y: $i] :
( ~ ( iext @ uri_owl_oneOf @ X @ Y )
| ( icext @ uri_rdf_List @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[17]) ).
thf(26,plain,
( ( ! [X: $i] :
( ! [Y: $i] :
~ ( iext @ uri_owl_oneOf @ X @ Y )
| ( ic @ X ) )
& ! [X: $i,Y: $i] :
( ~ ( iext @ uri_owl_oneOf @ X @ Y )
| ( icext @ uri_rdf_List @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(27,plain,
( ( ! [X: $i] :
( ! [Y: $i] :
~ ( iext @ uri_owl_unionOf @ X @ Y )
| ( ic @ X ) )
& ! [X: $i,Y: $i] :
( ~ ( iext @ uri_owl_unionOf @ X @ Y )
| ( icext @ uri_rdf_List @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(28,plain,
( ( ! [Z: $i,S1: $i,C1: $i] :
( ! [S2: $i,C2: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ C1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ S2 )
| ~ ( iext @ uri_rdf_first @ S2 @ C2 )
| ~ ( iext @ uri_rdf_rest @ S2 @ uri_rdf_nil )
| ( ( ~ ( icext @ Z @ ( sK13_X @ C2 @ S2 @ C1 @ S1 @ Z ) )
| ~ ( icext @ C1 @ ( sK13_X @ C2 @ S2 @ C1 @ S1 @ Z ) ) )
& ( ~ ( icext @ Z @ ( sK13_X @ C2 @ S2 @ C1 @ S1 @ Z ) )
| ~ ( icext @ C2 @ ( sK13_X @ C2 @ S2 @ C1 @ S1 @ Z ) ) )
& ( ( icext @ Z @ ( sK13_X @ C2 @ S2 @ C1 @ S1 @ Z ) )
| ( icext @ C1 @ ( sK13_X @ C2 @ S2 @ C1 @ S1 @ Z ) )
| ( icext @ C2 @ ( sK13_X @ C2 @ S2 @ C1 @ S1 @ Z ) ) ) )
| ~ ( ic @ Z )
| ~ ( ic @ C1 )
| ~ ( ic @ C2 )
| ( iext @ uri_owl_unionOf @ Z @ S1 ) )
& ! [S2: $i,C2: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ C1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ S2 )
| ~ ( iext @ uri_rdf_first @ S2 @ C2 )
| ~ ( iext @ uri_rdf_rest @ S2 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ Z @ S1 )
| ( ! [X: $i] :
( ~ ( icext @ Z @ X )
| ( icext @ C1 @ X )
| ( icext @ C2 @ X ) )
& ! [X: $i] :
( ~ ( icext @ C1 @ X )
| ( icext @ Z @ X ) )
& ! [X: $i] :
( ~ ( icext @ C2 @ X )
| ( icext @ Z @ X ) ) ) )
& ( ! [S2: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ C1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ S2 )
| ! [C2: $i] :
~ ( iext @ uri_rdf_first @ S2 @ C2 )
| ~ ( iext @ uri_rdf_rest @ S2 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ Z @ S1 )
| ( ic @ Z ) )
& ( ! [S2: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ C1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ S2 )
| ! [C2: $i] :
~ ( iext @ uri_rdf_first @ S2 @ C2 )
| ~ ( iext @ uri_rdf_rest @ S2 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ Z @ S1 )
| ( ic @ C1 ) )
& ! [S2: $i,C2: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ C1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ S2 )
| ~ ( iext @ uri_rdf_first @ S2 @ C2 )
| ~ ( iext @ uri_rdf_rest @ S2 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ Z @ S1 )
| ( ic @ C2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(29,plain,
( ( ! [Z: $i,S1: $i,A1: $i] :
( ! [S2: $i,A2: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ A1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ S2 )
| ~ ( iext @ uri_rdf_first @ S2 @ A2 )
| ~ ( iext @ uri_rdf_rest @ S2 @ uri_rdf_nil )
| ( ( ~ ( icext @ Z @ ( sK12_X @ A2 @ S2 @ A1 @ S1 @ Z ) )
| ( ( sK12_X @ A2 @ S2 @ A1 @ S1 @ Z )
!= A1 ) )
& ( ~ ( icext @ Z @ ( sK12_X @ A2 @ S2 @ A1 @ S1 @ Z ) )
| ( ( sK12_X @ A2 @ S2 @ A1 @ S1 @ Z )
!= A2 ) )
& ( ( icext @ Z @ ( sK12_X @ A2 @ S2 @ A1 @ S1 @ Z ) )
| ( ( sK12_X @ A2 @ S2 @ A1 @ S1 @ Z )
= A1 )
| ( ( sK12_X @ A2 @ S2 @ A1 @ S1 @ Z )
= A2 ) ) )
| ~ ( ic @ Z )
| ( iext @ uri_owl_oneOf @ Z @ S1 ) )
& ! [S2: $i,A2: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ A1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ S2 )
| ~ ( iext @ uri_rdf_first @ S2 @ A2 )
| ~ ( iext @ uri_rdf_rest @ S2 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ Z @ S1 )
| ( ! [X: $i] :
( ~ ( icext @ Z @ X )
| ( X = A1 )
| ( X = A2 ) )
& ! [X: $i] :
( ( X != A1 )
| ( icext @ Z @ X ) )
& ! [X: $i] :
( ( X != A2 )
| ( icext @ Z @ X ) ) ) )
& ( ! [S2: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ A1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ S2 )
| ! [A2: $i] :
~ ( iext @ uri_rdf_first @ S2 @ A2 )
| ~ ( iext @ uri_rdf_rest @ S2 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ Z @ S1 )
| ( ic @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(30,plain,
( ( ! [Z: $i,S1: $i,A1: $i,S2: $i,A2: $i] :
( ! [S3: $i,A3: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ A1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ S2 )
| ~ ( iext @ uri_rdf_first @ S2 @ A2 )
| ~ ( iext @ uri_rdf_rest @ S2 @ S3 )
| ~ ( iext @ uri_rdf_first @ S3 @ A3 )
| ~ ( iext @ uri_rdf_rest @ S3 @ uri_rdf_nil )
| ( ( ~ ( icext @ Z @ ( sK11_X @ A3 @ S3 @ A2 @ S2 @ A1 @ S1 @ Z ) )
| ( ( sK11_X @ A3 @ S3 @ A2 @ S2 @ A1 @ S1 @ Z )
!= A3 ) )
& ( ~ ( icext @ Z @ ( sK11_X @ A3 @ S3 @ A2 @ S2 @ A1 @ S1 @ Z ) )
| ( ( sK11_X @ A3 @ S3 @ A2 @ S2 @ A1 @ S1 @ Z )
!= A1 ) )
& ( ~ ( icext @ Z @ ( sK11_X @ A3 @ S3 @ A2 @ S2 @ A1 @ S1 @ Z ) )
| ( ( sK11_X @ A3 @ S3 @ A2 @ S2 @ A1 @ S1 @ Z )
!= A2 ) )
& ( ( icext @ Z @ ( sK11_X @ A3 @ S3 @ A2 @ S2 @ A1 @ S1 @ Z ) )
| ( ( sK11_X @ A3 @ S3 @ A2 @ S2 @ A1 @ S1 @ Z )
= A3 )
| ( ( sK11_X @ A3 @ S3 @ A2 @ S2 @ A1 @ S1 @ Z )
= A1 )
| ( ( sK11_X @ A3 @ S3 @ A2 @ S2 @ A1 @ S1 @ Z )
= A2 ) ) )
| ~ ( ic @ Z )
| ( iext @ uri_owl_oneOf @ Z @ S1 ) )
& ! [S3: $i,A3: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ A1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ S2 )
| ~ ( iext @ uri_rdf_first @ S2 @ A2 )
| ~ ( iext @ uri_rdf_rest @ S2 @ S3 )
| ~ ( iext @ uri_rdf_first @ S3 @ A3 )
| ~ ( iext @ uri_rdf_rest @ S3 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ Z @ S1 )
| ( ! [X: $i] :
( ~ ( icext @ Z @ X )
| ( X = A3 )
| ( X = A1 )
| ( X = A2 ) )
& ! [X: $i] :
( ( X != A3 )
| ( icext @ Z @ X ) )
& ! [X: $i] :
( ( X != A1 )
| ( icext @ Z @ X ) )
& ! [X: $i] :
( ( X != A2 )
| ( icext @ Z @ X ) ) ) )
& ( ! [S3: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ A1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ S2 )
| ~ ( iext @ uri_rdf_first @ S2 @ A2 )
| ~ ( iext @ uri_rdf_rest @ S2 @ S3 )
| ! [A3: $i] :
~ ( iext @ uri_rdf_first @ S3 @ A3 )
| ~ ( iext @ uri_rdf_rest @ S3 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ Z @ S1 )
| ( ic @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(31,plain,
( ( ! [C1: $i,C2: $i] :
( ( ( ~ ( icext @ C1 @ ( sK10_X @ C2 @ C1 ) )
| ~ ( icext @ C2 @ ( sK10_X @ C2 @ C1 ) ) )
& ( ( icext @ C1 @ ( sK10_X @ C2 @ C1 ) )
| ( icext @ C2 @ ( sK10_X @ C2 @ C1 ) ) ) )
| ~ ( ic @ C1 )
| ~ ( ic @ C2 )
| ( iext @ uri_owl_equivalentClass @ C1 @ C2 ) )
& ! [C1: $i,C2: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ C1 @ C2 )
| ( ! [X: $i] :
( ~ ( icext @ C1 @ X )
| ( icext @ C2 @ X ) )
& ! [X: $i] :
( ~ ( icext @ C2 @ X )
| ( icext @ C1 @ X ) ) ) )
& ! [C1: $i] :
( ! [C2: $i] :
~ ( iext @ uri_owl_equivalentClass @ C1 @ C2 )
| ( ic @ C1 ) )
& ! [C1: $i,C2: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ C1 @ C2 )
| ( ic @ C2 ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(32,plain,
( ( ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
& ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 )
& ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 )
& ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 )
& ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil )
& ( iext @ uri_owl_oneOf @ uri_ex_c2 @ sK3_SY44 )
& ( iext @ uri_rdf_first @ sK3_SY44 @ uri_ex_w2 )
& ( iext @ uri_rdf_rest @ sK3_SY44 @ sK4_SY51 )
& ( iext @ uri_rdf_first @ sK4_SY51 @ uri_ex_w3 )
& ( iext @ uri_rdf_rest @ sK4_SY51 @ uri_rdf_nil )
& ( iext @ uri_owl_oneOf @ uri_ex_c3 @ sK5_SY57 )
& ( iext @ uri_rdf_first @ sK5_SY57 @ uri_ex_w1 )
& ( iext @ uri_rdf_rest @ sK5_SY57 @ sK6_SY62 )
& ( iext @ uri_rdf_first @ sK6_SY62 @ uri_ex_w2 )
& ( iext @ uri_rdf_rest @ sK6_SY62 @ sK7_SY66 )
& ( iext @ uri_rdf_first @ sK7_SY66 @ uri_ex_w3 )
& ( iext @ uri_rdf_rest @ sK7_SY66 @ uri_rdf_nil )
& ( iext @ uri_owl_unionOf @ uri_ex_c4 @ sK8_SY69 )
& ( iext @ uri_rdf_first @ sK8_SY69 @ uri_ex_c1 )
& ( iext @ uri_rdf_rest @ sK8_SY69 @ sK9_SY71 )
& ( iext @ uri_rdf_first @ sK9_SY71 @ uri_ex_c2 )
& ( iext @ uri_rdf_rest @ sK9_SY71 @ uri_rdf_nil ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(33,plain,
( ( ~ ( iext @ uri_owl_equivalentClass @ uri_ex_c3 @ uri_ex_c4 ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(34,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ! [SX3: $i,SX4: $i] :
( ~ ( iext @ uri_rdf_first @ SX1 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SX1 @ SX3 )
| ~ ( iext @ uri_rdf_first @ SX3 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SX3 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( ~ ( icext @ SX0 @ ( sK12_X @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ( ( sK12_X @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 )
!= SX2 ) )
| ~ ( ~ ( icext @ SX0 @ ( sK12_X @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ( ( sK12_X @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 )
!= SX4 ) ) )
| ~ ( ( icext @ SX0 @ ( sK12_X @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ( ( sK12_X @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 )
= SX2 )
| ( ( sK12_X @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 )
= SX4 ) ) )
| ~ ( ic @ SX0 )
| ( iext @ uri_owl_oneOf @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX3: $i,SX4: $i] :
( ~ ( iext @ uri_rdf_first @ SX1 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SX1 @ SX3 )
| ~ ( iext @ uri_rdf_first @ SX3 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SX3 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SX0 @ SX1 )
| ~ ( ~ ! [SX5: $i] :
( ~ ( icext @ SX0 @ SX5 )
| ( SX5 = SX2 )
| ( SX5 = SX4 ) )
| ~ ~ ( ~ ! [SX5: $i] :
( ( SX5 != SX2 )
| ( icext @ SX0 @ SX5 ) )
| ~ ! [SX5: $i] :
( ( SX5 != SX4 )
| ( icext @ SX0 @ SX5 ) ) ) ) )
| ~ ( ! [SX3: $i] :
( ~ ( iext @ uri_rdf_first @ SX1 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SX1 @ SX3 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SX3 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SX3 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ SX0 @ SX1 )
| ( ic @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(35,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_oneOf @ SX0 @ SX1 )
| ( ic @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_oneOf @ SX0 @ SX1 )
| ( icext @ uri_rdf_List @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(36,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ! [SX3: $i,SX4: $i] :
( ~ ( iext @ uri_rdf_first @ SX1 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SX1 @ SX3 )
| ~ ( iext @ uri_rdf_first @ SX3 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SX3 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( ~ ( icext @ SX0 @ ( sK13_X @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ~ ( icext @ SX2 @ ( sK13_X @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( icext @ SX0 @ ( sK13_X @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ~ ( icext @ SX4 @ ( sK13_X @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ( ( icext @ SX0 @ ( sK13_X @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ( icext @ SX2 @ ( sK13_X @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ( icext @ SX4 @ ( sK13_X @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ( ic @ SX0 )
| ~ ( ic @ SX2 )
| ~ ( ic @ SX4 )
| ( iext @ uri_owl_unionOf @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX3: $i,SX4: $i] :
( ~ ( iext @ uri_rdf_first @ SX1 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SX1 @ SX3 )
| ~ ( iext @ uri_rdf_first @ SX3 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SX3 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ SX0 @ SX1 )
| ~ ( ~ ! [SX5: $i] :
( ~ ( icext @ SX0 @ SX5 )
| ( icext @ SX2 @ SX5 )
| ( icext @ SX4 @ SX5 ) )
| ~ ~ ( ~ ! [SX5: $i] :
( ~ ( icext @ SX2 @ SX5 )
| ( icext @ SX0 @ SX5 ) )
| ~ ! [SX5: $i] :
( ~ ( icext @ SX4 @ SX5 )
| ( icext @ SX0 @ SX5 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX3: $i] :
( ~ ( iext @ uri_rdf_first @ SX1 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SX1 @ SX3 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SX3 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SX3 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SX0 @ SX1 )
| ( ic @ SX0 ) )
| ~ ( ! [SX3: $i] :
( ~ ( iext @ uri_rdf_first @ SX1 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SX1 @ SX3 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SX3 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SX3 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SX0 @ SX1 )
| ( ic @ SX2 ) ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( iext @ uri_rdf_first @ SX1 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SX1 @ SX3 )
| ~ ( iext @ uri_rdf_first @ SX3 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SX3 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ SX0 @ SX1 )
| ( ic @ SX4 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(37,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( icext @ SX0 @ ( sK10_X @ SX1 @ SX0 ) )
| ~ ( icext @ SX1 @ ( sK10_X @ SX1 @ SX0 ) ) )
| ~ ( ( icext @ SX0 @ ( sK10_X @ SX1 @ SX0 ) )
| ( icext @ SX1 @ ( sK10_X @ SX1 @ SX0 ) ) ) )
| ~ ( ic @ SX0 )
| ~ ( ic @ SX1 )
| ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( icext @ SX0 @ SX2 )
| ( icext @ SX1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( icext @ SX1 @ SX2 )
| ( icext @ SX0 @ SX2 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ( ic @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ( ic @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(38,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_unionOf @ SX0 @ SX1 )
| ( ic @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_unionOf @ SX0 @ SX1 )
| ( icext @ uri_rdf_List @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(39,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
~ ( ~ ! [SX5: $i,SX6: $i] :
( ~ ( iext @ uri_rdf_first @ SX1 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SX1 @ SX3 )
| ~ ( iext @ uri_rdf_first @ SX3 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SX3 @ SX5 )
| ~ ( iext @ uri_rdf_first @ SX5 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SX5 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( ~ ( icext @ SX0 @ ( sK11_X @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ( ( sK11_X @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 )
!= SX6 ) )
| ~ ~ ( ~ ( ~ ( icext @ SX0 @ ( sK11_X @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ( ( sK11_X @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 )
!= SX2 ) )
| ~ ( ~ ( icext @ SX0 @ ( sK11_X @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ( ( sK11_X @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 )
!= SX4 ) ) ) )
| ~ ( ( icext @ SX0 @ ( sK11_X @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ( ( sK11_X @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 )
= SX6 )
| ( ( sK11_X @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 )
= SX2 )
| ( ( sK11_X @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 )
= SX4 ) ) )
| ~ ( ic @ SX0 )
| ( iext @ uri_owl_oneOf @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX5: $i,SX6: $i] :
( ~ ( iext @ uri_rdf_first @ SX1 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SX1 @ SX3 )
| ~ ( iext @ uri_rdf_first @ SX3 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SX3 @ SX5 )
| ~ ( iext @ uri_rdf_first @ SX5 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SX5 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SX0 @ SX1 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( icext @ SX0 @ SX7 )
| ( SX7 = SX6 )
| ( SX7 = SX2 )
| ( SX7 = SX4 ) )
| ~ ~ ( ~ ! [SX7: $i] :
( ( SX7 != SX6 )
| ( icext @ SX0 @ SX7 ) )
| ~ ~ ( ~ ! [SX7: $i] :
( ( SX7 != SX2 )
| ( icext @ SX0 @ SX7 ) )
| ~ ! [SX7: $i] :
( ( SX7 != SX4 )
| ( icext @ SX0 @ SX7 ) ) ) ) ) )
| ~ ( ! [SX5: $i] :
( ~ ( iext @ uri_rdf_first @ SX1 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SX1 @ SX3 )
| ~ ( iext @ uri_rdf_first @ SX3 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SX3 @ SX5 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SX5 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SX5 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ SX0 @ SX1 )
| ( ic @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(40,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c2 @ sK3_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY44 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY44 @ sK4_SY51 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY51 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY51 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c3 @ sK5_SY57 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY57 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY57 @ sK6_SY62 ) )
| ~ ( iext @ uri_rdf_first @ sK6_SY62 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK6_SY62 @ sK7_SY66 ) )
| ~ ( iext @ uri_rdf_first @ sK7_SY66 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK7_SY66 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ uri_ex_c4 @ sK8_SY69 ) )
| ~ ( iext @ uri_rdf_first @ sK8_SY69 @ uri_ex_c1 ) )
| ~ ( iext @ uri_rdf_rest @ sK8_SY69 @ sK9_SY71 ) )
| ~ ( iext @ uri_rdf_first @ sK9_SY71 @ uri_ex_c2 ) )
| ~ ( iext @ uri_rdf_rest @ sK9_SY71 @ uri_rdf_nil ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(41,plain,
( ( iext @ uri_owl_equivalentClass @ uri_ex_c3 @ uri_ex_c4 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(42,plain,
! [SV1: $i] :
( ( ! [SY72: $i,SY73: $i] :
~ ( ~ ! [SY74: $i,SY75: $i] :
( ~ ( iext @ uri_rdf_first @ SY72 @ SY73 )
| ~ ( iext @ uri_rdf_rest @ SY72 @ SY74 )
| ~ ( iext @ uri_rdf_first @ SY74 @ SY75 )
| ~ ( iext @ uri_rdf_rest @ SY74 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( ~ ( icext @ SV1 @ ( sK12_X @ SY75 @ SY74 @ SY73 @ SY72 @ SV1 ) )
| ( ( sK12_X @ SY75 @ SY74 @ SY73 @ SY72 @ SV1 )
!= SY73 ) )
| ~ ( ~ ( icext @ SV1 @ ( sK12_X @ SY75 @ SY74 @ SY73 @ SY72 @ SV1 ) )
| ( ( sK12_X @ SY75 @ SY74 @ SY73 @ SY72 @ SV1 )
!= SY75 ) ) )
| ~ ( ( icext @ SV1 @ ( sK12_X @ SY75 @ SY74 @ SY73 @ SY72 @ SV1 ) )
| ( ( sK12_X @ SY75 @ SY74 @ SY73 @ SY72 @ SV1 )
= SY73 )
| ( ( sK12_X @ SY75 @ SY74 @ SY73 @ SY72 @ SV1 )
= SY75 ) ) )
| ~ ( ic @ SV1 )
| ( iext @ uri_owl_oneOf @ SV1 @ SY72 ) )
| ~ ~ ( ~ ! [SY76: $i,SY77: $i] :
( ~ ( iext @ uri_rdf_first @ SY72 @ SY73 )
| ~ ( iext @ uri_rdf_rest @ SY72 @ SY76 )
| ~ ( iext @ uri_rdf_first @ SY76 @ SY77 )
| ~ ( iext @ uri_rdf_rest @ SY76 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV1 @ SY72 )
| ~ ( ~ ! [SY78: $i] :
( ~ ( icext @ SV1 @ SY78 )
| ( SY78 = SY73 )
| ( SY78 = SY77 ) )
| ~ ~ ( ~ ! [SY79: $i] :
( ( SY79 != SY73 )
| ( icext @ SV1 @ SY79 ) )
| ~ ! [SY80: $i] :
( ( SY80 != SY77 )
| ( icext @ SV1 @ SY80 ) ) ) ) )
| ~ ( ! [SX3: $i] :
( ~ ( iext @ uri_rdf_first @ SY72 @ SY73 )
| ~ ( iext @ uri_rdf_rest @ SY72 @ SX3 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SX3 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SX3 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ SV1 @ SY72 )
| ( ic @ SV1 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(43,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_oneOf @ SX0 @ SX1 )
| ( ic @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_oneOf @ SX0 @ SX1 )
| ( icext @ uri_rdf_List @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(44,plain,
! [SV2: $i] :
( ( ! [SY83: $i,SY84: $i] :
~ ( ~ ! [SY85: $i,SY86: $i] :
( ~ ( iext @ uri_rdf_first @ SY83 @ SY84 )
| ~ ( iext @ uri_rdf_rest @ SY83 @ SY85 )
| ~ ( iext @ uri_rdf_first @ SY85 @ SY86 )
| ~ ( iext @ uri_rdf_rest @ SY85 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( ~ ( icext @ SV2 @ ( sK13_X @ SY86 @ SY85 @ SY84 @ SY83 @ SV2 ) )
| ~ ( icext @ SY84 @ ( sK13_X @ SY86 @ SY85 @ SY84 @ SY83 @ SV2 ) ) )
| ~ ( ~ ( icext @ SV2 @ ( sK13_X @ SY86 @ SY85 @ SY84 @ SY83 @ SV2 ) )
| ~ ( icext @ SY86 @ ( sK13_X @ SY86 @ SY85 @ SY84 @ SY83 @ SV2 ) ) ) )
| ~ ( ( icext @ SV2 @ ( sK13_X @ SY86 @ SY85 @ SY84 @ SY83 @ SV2 ) )
| ( icext @ SY84 @ ( sK13_X @ SY86 @ SY85 @ SY84 @ SY83 @ SV2 ) )
| ( icext @ SY86 @ ( sK13_X @ SY86 @ SY85 @ SY84 @ SY83 @ SV2 ) ) ) )
| ~ ( ic @ SV2 )
| ~ ( ic @ SY84 )
| ~ ( ic @ SY86 )
| ( iext @ uri_owl_unionOf @ SV2 @ SY83 ) )
| ~ ~ ( ~ ! [SY87: $i,SY88: $i] :
( ~ ( iext @ uri_rdf_first @ SY83 @ SY84 )
| ~ ( iext @ uri_rdf_rest @ SY83 @ SY87 )
| ~ ( iext @ uri_rdf_first @ SY87 @ SY88 )
| ~ ( iext @ uri_rdf_rest @ SY87 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SY83 )
| ~ ( ~ ! [SY89: $i] :
( ~ ( icext @ SV2 @ SY89 )
| ( icext @ SY84 @ SY89 )
| ( icext @ SY88 @ SY89 ) )
| ~ ~ ( ~ ! [SY90: $i] :
( ~ ( icext @ SY84 @ SY90 )
| ( icext @ SV2 @ SY90 ) )
| ~ ! [SY91: $i] :
( ~ ( icext @ SY88 @ SY91 )
| ( icext @ SV2 @ SY91 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX3: $i] :
( ~ ( iext @ uri_rdf_first @ SY83 @ SY84 )
| ~ ( iext @ uri_rdf_rest @ SY83 @ SX3 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SX3 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SX3 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SY83 )
| ( ic @ SV2 ) )
| ~ ( ! [SX3: $i] :
( ~ ( iext @ uri_rdf_first @ SY83 @ SY84 )
| ~ ( iext @ uri_rdf_rest @ SY83 @ SX3 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SX3 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SX3 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SY83 )
| ( ic @ SY84 ) ) )
| ~ ! [SY96: $i,SY97: $i] :
( ~ ( iext @ uri_rdf_first @ SY83 @ SY84 )
| ~ ( iext @ uri_rdf_rest @ SY83 @ SY96 )
| ~ ( iext @ uri_rdf_first @ SY96 @ SY97 )
| ~ ( iext @ uri_rdf_rest @ SY96 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SY83 )
| ( ic @ SY97 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(45,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( icext @ SX0 @ ( sK10_X @ SX1 @ SX0 ) )
| ~ ( icext @ SX1 @ ( sK10_X @ SX1 @ SX0 ) ) )
| ~ ( ( icext @ SX0 @ ( sK10_X @ SX1 @ SX0 ) )
| ( icext @ SX1 @ ( sK10_X @ SX1 @ SX0 ) ) ) )
| ~ ( ic @ SX0 )
| ~ ( ic @ SX1 )
| ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( icext @ SX0 @ SX2 )
| ( icext @ SX1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( icext @ SX1 @ SX2 )
| ( icext @ SX0 @ SX2 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ( ic @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ( ic @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(46,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_unionOf @ SX0 @ SX1 )
| ( ic @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_unionOf @ SX0 @ SX1 )
| ( icext @ uri_rdf_List @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(47,plain,
! [SV3: $i] :
( ( ! [SY98: $i,SY99: $i,SY100: $i,SY101: $i] :
~ ( ~ ! [SY102: $i,SY103: $i] :
( ~ ( iext @ uri_rdf_first @ SY98 @ SY99 )
| ~ ( iext @ uri_rdf_rest @ SY98 @ SY100 )
| ~ ( iext @ uri_rdf_first @ SY100 @ SY101 )
| ~ ( iext @ uri_rdf_rest @ SY100 @ SY102 )
| ~ ( iext @ uri_rdf_first @ SY102 @ SY103 )
| ~ ( iext @ uri_rdf_rest @ SY102 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SY103 @ SY102 @ SY101 @ SY100 @ SY99 @ SY98 @ SV3 ) )
| ( ( sK11_X @ SY103 @ SY102 @ SY101 @ SY100 @ SY99 @ SY98 @ SV3 )
!= SY103 ) )
| ~ ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SY103 @ SY102 @ SY101 @ SY100 @ SY99 @ SY98 @ SV3 ) )
| ( ( sK11_X @ SY103 @ SY102 @ SY101 @ SY100 @ SY99 @ SY98 @ SV3 )
!= SY99 ) )
| ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SY103 @ SY102 @ SY101 @ SY100 @ SY99 @ SY98 @ SV3 ) )
| ( ( sK11_X @ SY103 @ SY102 @ SY101 @ SY100 @ SY99 @ SY98 @ SV3 )
!= SY101 ) ) ) )
| ~ ( ( icext @ SV3 @ ( sK11_X @ SY103 @ SY102 @ SY101 @ SY100 @ SY99 @ SY98 @ SV3 ) )
| ( ( sK11_X @ SY103 @ SY102 @ SY101 @ SY100 @ SY99 @ SY98 @ SV3 )
= SY103 )
| ( ( sK11_X @ SY103 @ SY102 @ SY101 @ SY100 @ SY99 @ SY98 @ SV3 )
= SY99 )
| ( ( sK11_X @ SY103 @ SY102 @ SY101 @ SY100 @ SY99 @ SY98 @ SV3 )
= SY101 ) ) )
| ~ ( ic @ SV3 )
| ( iext @ uri_owl_oneOf @ SV3 @ SY98 ) )
| ~ ~ ( ~ ! [SY104: $i,SY105: $i] :
( ~ ( iext @ uri_rdf_first @ SY98 @ SY99 )
| ~ ( iext @ uri_rdf_rest @ SY98 @ SY100 )
| ~ ( iext @ uri_rdf_first @ SY100 @ SY101 )
| ~ ( iext @ uri_rdf_rest @ SY100 @ SY104 )
| ~ ( iext @ uri_rdf_first @ SY104 @ SY105 )
| ~ ( iext @ uri_rdf_rest @ SY104 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV3 @ SY98 )
| ~ ( ~ ! [SY106: $i] :
( ~ ( icext @ SV3 @ SY106 )
| ( SY106 = SY105 )
| ( SY106 = SY99 )
| ( SY106 = SY101 ) )
| ~ ~ ( ~ ! [SY107: $i] :
( ( SY107 != SY105 )
| ( icext @ SV3 @ SY107 ) )
| ~ ~ ( ~ ! [SY108: $i] :
( ( SY108 != SY99 )
| ( icext @ SV3 @ SY108 ) )
| ~ ! [SY109: $i] :
( ( SY109 != SY101 )
| ( icext @ SV3 @ SY109 ) ) ) ) ) )
| ~ ( ! [SX5: $i] :
( ~ ( iext @ uri_rdf_first @ SY98 @ SY99 )
| ~ ( iext @ uri_rdf_rest @ SY98 @ SY100 )
| ~ ( iext @ uri_rdf_first @ SY100 @ SY101 )
| ~ ( iext @ uri_rdf_rest @ SY100 @ SX5 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SX5 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SX5 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ SV3 @ SY98 )
| ( ic @ SV3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(48,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c2 @ sK3_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY44 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY44 @ sK4_SY51 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY51 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY51 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c3 @ sK5_SY57 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY57 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY57 @ sK6_SY62 ) )
| ~ ( iext @ uri_rdf_first @ sK6_SY62 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK6_SY62 @ sK7_SY66 ) )
| ~ ( iext @ uri_rdf_first @ sK7_SY66 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK7_SY66 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ uri_ex_c4 @ sK8_SY69 ) )
| ~ ( iext @ uri_rdf_first @ sK8_SY69 @ uri_ex_c1 ) )
| ~ ( iext @ uri_rdf_rest @ sK8_SY69 @ sK9_SY71 ) )
| ~ ( iext @ uri_rdf_first @ sK9_SY71 @ uri_ex_c2 ) )
| ~ ( iext @ uri_rdf_rest @ sK9_SY71 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(49,plain,
! [SV1: $i,SV4: $i] :
( ( ! [SY112: $i] :
~ ( ~ ! [SY113: $i,SY114: $i] :
( ~ ( iext @ uri_rdf_first @ SV4 @ SY112 )
| ~ ( iext @ uri_rdf_rest @ SV4 @ SY113 )
| ~ ( iext @ uri_rdf_first @ SY113 @ SY114 )
| ~ ( iext @ uri_rdf_rest @ SY113 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( ~ ( icext @ SV1 @ ( sK12_X @ SY114 @ SY113 @ SY112 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SY114 @ SY113 @ SY112 @ SV4 @ SV1 )
!= SY112 ) )
| ~ ( ~ ( icext @ SV1 @ ( sK12_X @ SY114 @ SY113 @ SY112 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SY114 @ SY113 @ SY112 @ SV4 @ SV1 )
!= SY114 ) ) )
| ~ ( ( icext @ SV1 @ ( sK12_X @ SY114 @ SY113 @ SY112 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SY114 @ SY113 @ SY112 @ SV4 @ SV1 )
= SY112 )
| ( ( sK12_X @ SY114 @ SY113 @ SY112 @ SV4 @ SV1 )
= SY114 ) ) )
| ~ ( ic @ SV1 )
| ( iext @ uri_owl_oneOf @ SV1 @ SV4 ) )
| ~ ~ ( ~ ! [SY115: $i,SY116: $i] :
( ~ ( iext @ uri_rdf_first @ SV4 @ SY112 )
| ~ ( iext @ uri_rdf_rest @ SV4 @ SY115 )
| ~ ( iext @ uri_rdf_first @ SY115 @ SY116 )
| ~ ( iext @ uri_rdf_rest @ SY115 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
| ~ ( ~ ! [SY78: $i] :
( ~ ( icext @ SV1 @ SY78 )
| ( SY78 = SY112 )
| ( SY78 = SY116 ) )
| ~ ~ ( ~ ! [SY79: $i] :
( ( SY79 != SY112 )
| ( icext @ SV1 @ SY79 ) )
| ~ ! [SY80: $i] :
( ( SY80 != SY116 )
| ( icext @ SV1 @ SY80 ) ) ) ) )
| ~ ( ! [SY120: $i] :
( ~ ( iext @ uri_rdf_first @ SV4 @ SY112 )
| ~ ( iext @ uri_rdf_rest @ SV4 @ SY120 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY120 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY120 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
| ( ic @ SV1 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(50,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_oneOf @ SX0 @ SX1 )
| ( ic @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[43]) ).
thf(51,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_oneOf @ SX0 @ SX1 )
| ( icext @ uri_rdf_List @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[43]) ).
thf(52,plain,
! [SV2: $i,SV5: $i] :
( ( ! [SY122: $i] :
~ ( ~ ! [SY123: $i,SY124: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SY122 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY123 )
| ~ ( iext @ uri_rdf_first @ SY123 @ SY124 )
| ~ ( iext @ uri_rdf_rest @ SY123 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( ~ ( icext @ SV2 @ ( sK13_X @ SY124 @ SY123 @ SY122 @ SV5 @ SV2 ) )
| ~ ( icext @ SY122 @ ( sK13_X @ SY124 @ SY123 @ SY122 @ SV5 @ SV2 ) ) )
| ~ ( ~ ( icext @ SV2 @ ( sK13_X @ SY124 @ SY123 @ SY122 @ SV5 @ SV2 ) )
| ~ ( icext @ SY124 @ ( sK13_X @ SY124 @ SY123 @ SY122 @ SV5 @ SV2 ) ) ) )
| ~ ( ( icext @ SV2 @ ( sK13_X @ SY124 @ SY123 @ SY122 @ SV5 @ SV2 ) )
| ( icext @ SY122 @ ( sK13_X @ SY124 @ SY123 @ SY122 @ SV5 @ SV2 ) )
| ( icext @ SY124 @ ( sK13_X @ SY124 @ SY123 @ SY122 @ SV5 @ SV2 ) ) ) )
| ~ ( ic @ SV2 )
| ~ ( ic @ SY122 )
| ~ ( ic @ SY124 )
| ( iext @ uri_owl_unionOf @ SV2 @ SV5 ) )
| ~ ~ ( ~ ! [SY125: $i,SY126: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SY122 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY125 )
| ~ ( iext @ uri_rdf_first @ SY125 @ SY126 )
| ~ ( iext @ uri_rdf_rest @ SY125 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ~ ( ~ ! [SY89: $i] :
( ~ ( icext @ SV2 @ SY89 )
| ( icext @ SY122 @ SY89 )
| ( icext @ SY126 @ SY89 ) )
| ~ ~ ( ~ ! [SY90: $i] :
( ~ ( icext @ SY122 @ SY90 )
| ( icext @ SV2 @ SY90 ) )
| ~ ! [SY91: $i] :
( ~ ( icext @ SY126 @ SY91 )
| ( icext @ SV2 @ SY91 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SY130: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SY122 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY130 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY130 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY130 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV2 ) )
| ~ ( ! [SY132: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SY122 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY132 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY132 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY132 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SY122 ) ) )
| ~ ! [SY134: $i,SY135: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SY122 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY134 )
| ~ ( iext @ uri_rdf_first @ SY134 @ SY135 )
| ~ ( iext @ uri_rdf_rest @ SY134 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SY135 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(53,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( icext @ SX0 @ ( sK10_X @ SX1 @ SX0 ) )
| ~ ( icext @ SX1 @ ( sK10_X @ SX1 @ SX0 ) ) )
| ~ ( ( icext @ SX0 @ ( sK10_X @ SX1 @ SX0 ) )
| ( icext @ SX1 @ ( sK10_X @ SX1 @ SX0 ) ) ) )
| ~ ( ic @ SX0 )
| ~ ( ic @ SX1 )
| ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[45]) ).
thf(54,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( icext @ SX0 @ SX2 )
| ( icext @ SX1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( icext @ SX1 @ SX2 )
| ( icext @ SX0 @ SX2 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ( ic @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ( ic @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[45]) ).
thf(55,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_unionOf @ SX0 @ SX1 )
| ( ic @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[46]) ).
thf(56,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_unionOf @ SX0 @ SX1 )
| ( icext @ uri_rdf_List @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[46]) ).
thf(57,plain,
! [SV3: $i,SV6: $i] :
( ( ! [SY136: $i,SY137: $i,SY138: $i] :
~ ( ~ ! [SY139: $i,SY140: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SY136 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SY137 )
| ~ ( iext @ uri_rdf_first @ SY137 @ SY138 )
| ~ ( iext @ uri_rdf_rest @ SY137 @ SY139 )
| ~ ( iext @ uri_rdf_first @ SY139 @ SY140 )
| ~ ( iext @ uri_rdf_rest @ SY139 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SY140 @ SY139 @ SY138 @ SY137 @ SY136 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SY140 @ SY139 @ SY138 @ SY137 @ SY136 @ SV6 @ SV3 )
!= SY140 ) )
| ~ ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SY140 @ SY139 @ SY138 @ SY137 @ SY136 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SY140 @ SY139 @ SY138 @ SY137 @ SY136 @ SV6 @ SV3 )
!= SY136 ) )
| ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SY140 @ SY139 @ SY138 @ SY137 @ SY136 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SY140 @ SY139 @ SY138 @ SY137 @ SY136 @ SV6 @ SV3 )
!= SY138 ) ) ) )
| ~ ( ( icext @ SV3 @ ( sK11_X @ SY140 @ SY139 @ SY138 @ SY137 @ SY136 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SY140 @ SY139 @ SY138 @ SY137 @ SY136 @ SV6 @ SV3 )
= SY140 )
| ( ( sK11_X @ SY140 @ SY139 @ SY138 @ SY137 @ SY136 @ SV6 @ SV3 )
= SY136 )
| ( ( sK11_X @ SY140 @ SY139 @ SY138 @ SY137 @ SY136 @ SV6 @ SV3 )
= SY138 ) ) )
| ~ ( ic @ SV3 )
| ( iext @ uri_owl_oneOf @ SV3 @ SV6 ) )
| ~ ~ ( ~ ! [SY141: $i,SY142: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SY136 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SY137 )
| ~ ( iext @ uri_rdf_first @ SY137 @ SY138 )
| ~ ( iext @ uri_rdf_rest @ SY137 @ SY141 )
| ~ ( iext @ uri_rdf_first @ SY141 @ SY142 )
| ~ ( iext @ uri_rdf_rest @ SY141 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
| ~ ( ~ ! [SY106: $i] :
( ~ ( icext @ SV3 @ SY106 )
| ( SY106 = SY142 )
| ( SY106 = SY136 )
| ( SY106 = SY138 ) )
| ~ ~ ( ~ ! [SY107: $i] :
( ( SY107 != SY142 )
| ( icext @ SV3 @ SY107 ) )
| ~ ~ ( ~ ! [SY108: $i] :
( ( SY108 != SY136 )
| ( icext @ SV3 @ SY108 ) )
| ~ ! [SY109: $i] :
( ( SY109 != SY138 )
| ( icext @ SV3 @ SY109 ) ) ) ) ) )
| ~ ( ! [SY147: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SY136 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SY137 )
| ~ ( iext @ uri_rdf_first @ SY137 @ SY138 )
| ~ ( iext @ uri_rdf_rest @ SY137 @ SY147 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY147 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY147 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
| ( ic @ SV3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(58,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c2 @ sK3_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY44 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY44 @ sK4_SY51 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY51 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY51 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c3 @ sK5_SY57 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY57 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY57 @ sK6_SY62 ) )
| ~ ( iext @ uri_rdf_first @ sK6_SY62 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK6_SY62 @ sK7_SY66 ) )
| ~ ( iext @ uri_rdf_first @ sK7_SY66 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK7_SY66 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ uri_ex_c4 @ sK8_SY69 ) )
| ~ ( iext @ uri_rdf_first @ sK8_SY69 @ uri_ex_c1 ) )
| ~ ( iext @ uri_rdf_rest @ sK8_SY69 @ sK9_SY71 ) )
| ~ ( iext @ uri_rdf_first @ sK9_SY71 @ uri_ex_c2 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[48]) ).
thf(59,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK9_SY71 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[48]) ).
thf(60,plain,
! [SV1: $i,SV7: $i,SV4: $i] :
( ( ~ ( ~ ! [SY149: $i,SY150: $i] :
( ~ ( iext @ uri_rdf_first @ SV4 @ SV7 )
| ~ ( iext @ uri_rdf_rest @ SV4 @ SY149 )
| ~ ( iext @ uri_rdf_first @ SY149 @ SY150 )
| ~ ( iext @ uri_rdf_rest @ SY149 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( ~ ( icext @ SV1 @ ( sK12_X @ SY150 @ SY149 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SY150 @ SY149 @ SV7 @ SV4 @ SV1 )
!= SV7 ) )
| ~ ( ~ ( icext @ SV1 @ ( sK12_X @ SY150 @ SY149 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SY150 @ SY149 @ SV7 @ SV4 @ SV1 )
!= SY150 ) ) )
| ~ ( ( icext @ SV1 @ ( sK12_X @ SY150 @ SY149 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SY150 @ SY149 @ SV7 @ SV4 @ SV1 )
= SV7 )
| ( ( sK12_X @ SY150 @ SY149 @ SV7 @ SV4 @ SV1 )
= SY150 ) ) )
| ~ ( ic @ SV1 )
| ( iext @ uri_owl_oneOf @ SV1 @ SV4 ) )
| ~ ~ ( ~ ! [SY151: $i,SY152: $i] :
( ~ ( iext @ uri_rdf_first @ SV4 @ SV7 )
| ~ ( iext @ uri_rdf_rest @ SV4 @ SY151 )
| ~ ( iext @ uri_rdf_first @ SY151 @ SY152 )
| ~ ( iext @ uri_rdf_rest @ SY151 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
| ~ ( ~ ! [SY153: $i] :
( ~ ( icext @ SV1 @ SY153 )
| ( SY153 = SV7 )
| ( SY153 = SY152 ) )
| ~ ~ ( ~ ! [SY154: $i] :
( ( SY154 != SV7 )
| ( icext @ SV1 @ SY154 ) )
| ~ ! [SY80: $i] :
( ( SY80 != SY152 )
| ( icext @ SV1 @ SY80 ) ) ) ) )
| ~ ( ! [SY156: $i] :
( ~ ( iext @ uri_rdf_first @ SV4 @ SV7 )
| ~ ( iext @ uri_rdf_rest @ SV4 @ SY156 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY156 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY156 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
| ( ic @ SV1 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(61,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_oneOf @ SX0 @ SX1 )
| ( ic @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[50]) ).
thf(62,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_oneOf @ SX0 @ SX1 )
| ( icext @ uri_rdf_List @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[51]) ).
thf(63,plain,
! [SV2: $i,SV8: $i,SV5: $i] :
( ( ~ ( ~ ! [SY158: $i,SY159: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY158 )
| ~ ( iext @ uri_rdf_first @ SY158 @ SY159 )
| ~ ( iext @ uri_rdf_rest @ SY158 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( ~ ( icext @ SV2 @ ( sK13_X @ SY159 @ SY158 @ SV8 @ SV5 @ SV2 ) )
| ~ ( icext @ SV8 @ ( sK13_X @ SY159 @ SY158 @ SV8 @ SV5 @ SV2 ) ) )
| ~ ( ~ ( icext @ SV2 @ ( sK13_X @ SY159 @ SY158 @ SV8 @ SV5 @ SV2 ) )
| ~ ( icext @ SY159 @ ( sK13_X @ SY159 @ SY158 @ SV8 @ SV5 @ SV2 ) ) ) )
| ~ ( ( icext @ SV2 @ ( sK13_X @ SY159 @ SY158 @ SV8 @ SV5 @ SV2 ) )
| ( icext @ SV8 @ ( sK13_X @ SY159 @ SY158 @ SV8 @ SV5 @ SV2 ) )
| ( icext @ SY159 @ ( sK13_X @ SY159 @ SY158 @ SV8 @ SV5 @ SV2 ) ) ) )
| ~ ( ic @ SV2 )
| ~ ( ic @ SV8 )
| ~ ( ic @ SY159 )
| ( iext @ uri_owl_unionOf @ SV2 @ SV5 ) )
| ~ ~ ( ~ ! [SY160: $i,SY161: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY160 )
| ~ ( iext @ uri_rdf_first @ SY160 @ SY161 )
| ~ ( iext @ uri_rdf_rest @ SY160 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ~ ( ~ ! [SY162: $i] :
( ~ ( icext @ SV2 @ SY162 )
| ( icext @ SV8 @ SY162 )
| ( icext @ SY161 @ SY162 ) )
| ~ ~ ( ~ ! [SY163: $i] :
( ~ ( icext @ SV8 @ SY163 )
| ( icext @ SV2 @ SY163 ) )
| ~ ! [SY91: $i] :
( ~ ( icext @ SY161 @ SY91 )
| ( icext @ SV2 @ SY91 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SY165: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY165 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY165 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY165 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV2 ) )
| ~ ( ! [SY167: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY167 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY167 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY167 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV8 ) ) )
| ~ ! [SY169: $i,SY170: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY169 )
| ~ ( iext @ uri_rdf_first @ SY169 @ SY170 )
| ~ ( iext @ uri_rdf_rest @ SY169 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SY170 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(64,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( icext @ SX0 @ ( sK10_X @ SX1 @ SX0 ) )
| ~ ( icext @ SX1 @ ( sK10_X @ SX1 @ SX0 ) ) )
| ~ ( ( icext @ SX0 @ ( sK10_X @ SX1 @ SX0 ) )
| ( icext @ SX1 @ ( sK10_X @ SX1 @ SX0 ) ) ) )
| ~ ( ic @ SX0 )
| ~ ( ic @ SX1 )
| ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[53]) ).
thf(65,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( icext @ SX0 @ SX2 )
| ( icext @ SX1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( icext @ SX1 @ SX2 )
| ( icext @ SX0 @ SX2 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ( ic @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ( ic @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[54]) ).
thf(66,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_unionOf @ SX0 @ SX1 )
| ( ic @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[55]) ).
thf(67,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_unionOf @ SX0 @ SX1 )
| ( icext @ uri_rdf_List @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[56]) ).
thf(68,plain,
! [SV3: $i,SV9: $i,SV6: $i] :
( ( ! [SY171: $i,SY172: $i] :
~ ( ~ ! [SY173: $i,SY174: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SY171 )
| ~ ( iext @ uri_rdf_first @ SY171 @ SY172 )
| ~ ( iext @ uri_rdf_rest @ SY171 @ SY173 )
| ~ ( iext @ uri_rdf_first @ SY173 @ SY174 )
| ~ ( iext @ uri_rdf_rest @ SY173 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SY174 @ SY173 @ SY172 @ SY171 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SY174 @ SY173 @ SY172 @ SY171 @ SV9 @ SV6 @ SV3 )
!= SY174 ) )
| ~ ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SY174 @ SY173 @ SY172 @ SY171 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SY174 @ SY173 @ SY172 @ SY171 @ SV9 @ SV6 @ SV3 )
!= SV9 ) )
| ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SY174 @ SY173 @ SY172 @ SY171 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SY174 @ SY173 @ SY172 @ SY171 @ SV9 @ SV6 @ SV3 )
!= SY172 ) ) ) )
| ~ ( ( icext @ SV3 @ ( sK11_X @ SY174 @ SY173 @ SY172 @ SY171 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SY174 @ SY173 @ SY172 @ SY171 @ SV9 @ SV6 @ SV3 )
= SY174 )
| ( ( sK11_X @ SY174 @ SY173 @ SY172 @ SY171 @ SV9 @ SV6 @ SV3 )
= SV9 )
| ( ( sK11_X @ SY174 @ SY173 @ SY172 @ SY171 @ SV9 @ SV6 @ SV3 )
= SY172 ) ) )
| ~ ( ic @ SV3 )
| ( iext @ uri_owl_oneOf @ SV3 @ SV6 ) )
| ~ ~ ( ~ ! [SY175: $i,SY176: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SY171 )
| ~ ( iext @ uri_rdf_first @ SY171 @ SY172 )
| ~ ( iext @ uri_rdf_rest @ SY171 @ SY175 )
| ~ ( iext @ uri_rdf_first @ SY175 @ SY176 )
| ~ ( iext @ uri_rdf_rest @ SY175 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
| ~ ( ~ ! [SY177: $i] :
( ~ ( icext @ SV3 @ SY177 )
| ( SY177 = SY176 )
| ( SY177 = SV9 )
| ( SY177 = SY172 ) )
| ~ ~ ( ~ ! [SY107: $i] :
( ( SY107 != SY176 )
| ( icext @ SV3 @ SY107 ) )
| ~ ~ ( ~ ! [SY179: $i] :
( ( SY179 != SV9 )
| ( icext @ SV3 @ SY179 ) )
| ~ ! [SY109: $i] :
( ( SY109 != SY172 )
| ( icext @ SV3 @ SY109 ) ) ) ) ) )
| ~ ( ! [SY181: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SY171 )
| ~ ( iext @ uri_rdf_first @ SY171 @ SY172 )
| ~ ( iext @ uri_rdf_rest @ SY171 @ SY181 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY181 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY181 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
| ( ic @ SV3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(69,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c2 @ sK3_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY44 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY44 @ sK4_SY51 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY51 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY51 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c3 @ sK5_SY57 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY57 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY57 @ sK6_SY62 ) )
| ~ ( iext @ uri_rdf_first @ sK6_SY62 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK6_SY62 @ sK7_SY66 ) )
| ~ ( iext @ uri_rdf_first @ sK7_SY66 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK7_SY66 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ uri_ex_c4 @ sK8_SY69 ) )
| ~ ( iext @ uri_rdf_first @ sK8_SY69 @ uri_ex_c1 ) )
| ~ ( iext @ uri_rdf_rest @ sK8_SY69 @ sK9_SY71 ) )
| ~ ( iext @ uri_rdf_first @ sK9_SY71 @ uri_ex_c2 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[58]) ).
thf(70,plain,
( ( iext @ uri_rdf_rest @ sK9_SY71 @ uri_rdf_nil )
= $true ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
thf(71,plain,
! [SV1: $i,SV7: $i,SV4: $i] :
( ( ~ ! [SY149: $i,SY150: $i] :
( ~ ( iext @ uri_rdf_first @ SV4 @ SV7 )
| ~ ( iext @ uri_rdf_rest @ SV4 @ SY149 )
| ~ ( iext @ uri_rdf_first @ SY149 @ SY150 )
| ~ ( iext @ uri_rdf_rest @ SY149 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( ~ ( icext @ SV1 @ ( sK12_X @ SY150 @ SY149 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SY150 @ SY149 @ SV7 @ SV4 @ SV1 )
!= SV7 ) )
| ~ ( ~ ( icext @ SV1 @ ( sK12_X @ SY150 @ SY149 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SY150 @ SY149 @ SV7 @ SV4 @ SV1 )
!= SY150 ) ) )
| ~ ( ( icext @ SV1 @ ( sK12_X @ SY150 @ SY149 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SY150 @ SY149 @ SV7 @ SV4 @ SV1 )
= SV7 )
| ( ( sK12_X @ SY150 @ SY149 @ SV7 @ SV4 @ SV1 )
= SY150 ) ) )
| ~ ( ic @ SV1 )
| ( iext @ uri_owl_oneOf @ SV1 @ SV4 ) )
| ~ ~ ( ~ ! [SY151: $i,SY152: $i] :
( ~ ( iext @ uri_rdf_first @ SV4 @ SV7 )
| ~ ( iext @ uri_rdf_rest @ SV4 @ SY151 )
| ~ ( iext @ uri_rdf_first @ SY151 @ SY152 )
| ~ ( iext @ uri_rdf_rest @ SY151 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
| ~ ( ~ ! [SY153: $i] :
( ~ ( icext @ SV1 @ SY153 )
| ( SY153 = SV7 )
| ( SY153 = SY152 ) )
| ~ ~ ( ~ ! [SY154: $i] :
( ( SY154 != SV7 )
| ( icext @ SV1 @ SY154 ) )
| ~ ! [SY80: $i] :
( ( SY80 != SY152 )
| ( icext @ SV1 @ SY80 ) ) ) ) )
| ~ ( ! [SY156: $i] :
( ~ ( iext @ uri_rdf_first @ SV4 @ SV7 )
| ~ ( iext @ uri_rdf_rest @ SV4 @ SY156 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY156 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY156 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
| ( ic @ SV1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(72,plain,
! [SV10: $i] :
( ( ! [SY183: $i] :
~ ( iext @ uri_owl_oneOf @ SV10 @ SY183 )
| ( ic @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(73,plain,
! [SV11: $i] :
( ( ! [SY184: $i] :
( ~ ( iext @ uri_owl_oneOf @ SV11 @ SY184 )
| ( icext @ uri_rdf_List @ SY184 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(74,plain,
! [SV2: $i,SV8: $i,SV5: $i] :
( ( ~ ! [SY158: $i,SY159: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY158 )
| ~ ( iext @ uri_rdf_first @ SY158 @ SY159 )
| ~ ( iext @ uri_rdf_rest @ SY158 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( ~ ( icext @ SV2 @ ( sK13_X @ SY159 @ SY158 @ SV8 @ SV5 @ SV2 ) )
| ~ ( icext @ SV8 @ ( sK13_X @ SY159 @ SY158 @ SV8 @ SV5 @ SV2 ) ) )
| ~ ( ~ ( icext @ SV2 @ ( sK13_X @ SY159 @ SY158 @ SV8 @ SV5 @ SV2 ) )
| ~ ( icext @ SY159 @ ( sK13_X @ SY159 @ SY158 @ SV8 @ SV5 @ SV2 ) ) ) )
| ~ ( ( icext @ SV2 @ ( sK13_X @ SY159 @ SY158 @ SV8 @ SV5 @ SV2 ) )
| ( icext @ SV8 @ ( sK13_X @ SY159 @ SY158 @ SV8 @ SV5 @ SV2 ) )
| ( icext @ SY159 @ ( sK13_X @ SY159 @ SY158 @ SV8 @ SV5 @ SV2 ) ) ) )
| ~ ( ic @ SV2 )
| ~ ( ic @ SV8 )
| ~ ( ic @ SY159 )
| ( iext @ uri_owl_unionOf @ SV2 @ SV5 ) )
| ~ ~ ( ~ ! [SY160: $i,SY161: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY160 )
| ~ ( iext @ uri_rdf_first @ SY160 @ SY161 )
| ~ ( iext @ uri_rdf_rest @ SY160 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ~ ( ~ ! [SY162: $i] :
( ~ ( icext @ SV2 @ SY162 )
| ( icext @ SV8 @ SY162 )
| ( icext @ SY161 @ SY162 ) )
| ~ ~ ( ~ ! [SY163: $i] :
( ~ ( icext @ SV8 @ SY163 )
| ( icext @ SV2 @ SY163 ) )
| ~ ! [SY91: $i] :
( ~ ( icext @ SY161 @ SY91 )
| ( icext @ SV2 @ SY91 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SY165: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY165 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY165 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY165 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV2 ) )
| ~ ( ! [SY167: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY167 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY167 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY167 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV8 ) ) )
| ~ ! [SY169: $i,SY170: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY169 )
| ~ ( iext @ uri_rdf_first @ SY169 @ SY170 )
| ~ ( iext @ uri_rdf_rest @ SY169 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SY170 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(75,plain,
! [SV12: $i] :
( ( ! [SY185: $i] :
( ~ ( ~ ( ~ ( icext @ SV12 @ ( sK10_X @ SY185 @ SV12 ) )
| ~ ( icext @ SY185 @ ( sK10_X @ SY185 @ SV12 ) ) )
| ~ ( ( icext @ SV12 @ ( sK10_X @ SY185 @ SV12 ) )
| ( icext @ SY185 @ ( sK10_X @ SY185 @ SV12 ) ) ) )
| ~ ( ic @ SV12 )
| ~ ( ic @ SY185 )
| ( iext @ uri_owl_equivalentClass @ SV12 @ SY185 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(76,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( icext @ SX0 @ SX2 )
| ( icext @ SX1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( icext @ SX1 @ SX2 )
| ( icext @ SX0 @ SX2 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ( ic @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ( ic @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(77,plain,
! [SV13: $i] :
( ( ! [SY186: $i] :
~ ( iext @ uri_owl_unionOf @ SV13 @ SY186 )
| ( ic @ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(78,plain,
! [SV14: $i] :
( ( ! [SY187: $i] :
( ~ ( iext @ uri_owl_unionOf @ SV14 @ SY187 )
| ( icext @ uri_rdf_List @ SY187 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(79,plain,
! [SV3: $i,SV15: $i,SV9: $i,SV6: $i] :
( ( ! [SY188: $i] :
~ ( ~ ! [SY189: $i,SY190: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV15 )
| ~ ( iext @ uri_rdf_first @ SV15 @ SY188 )
| ~ ( iext @ uri_rdf_rest @ SV15 @ SY189 )
| ~ ( iext @ uri_rdf_first @ SY189 @ SY190 )
| ~ ( iext @ uri_rdf_rest @ SY189 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SY190 @ SY189 @ SY188 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SY190 @ SY189 @ SY188 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SY190 ) )
| ~ ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SY190 @ SY189 @ SY188 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SY190 @ SY189 @ SY188 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV9 ) )
| ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SY190 @ SY189 @ SY188 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SY190 @ SY189 @ SY188 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SY188 ) ) ) )
| ~ ( ( icext @ SV3 @ ( sK11_X @ SY190 @ SY189 @ SY188 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SY190 @ SY189 @ SY188 @ SV15 @ SV9 @ SV6 @ SV3 )
= SY190 )
| ( ( sK11_X @ SY190 @ SY189 @ SY188 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV9 )
| ( ( sK11_X @ SY190 @ SY189 @ SY188 @ SV15 @ SV9 @ SV6 @ SV3 )
= SY188 ) ) )
| ~ ( ic @ SV3 )
| ( iext @ uri_owl_oneOf @ SV3 @ SV6 ) )
| ~ ~ ( ~ ! [SY191: $i,SY192: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV15 )
| ~ ( iext @ uri_rdf_first @ SV15 @ SY188 )
| ~ ( iext @ uri_rdf_rest @ SV15 @ SY191 )
| ~ ( iext @ uri_rdf_first @ SY191 @ SY192 )
| ~ ( iext @ uri_rdf_rest @ SY191 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
| ~ ( ~ ! [SY177: $i] :
( ~ ( icext @ SV3 @ SY177 )
| ( SY177 = SY192 )
| ( SY177 = SV9 )
| ( SY177 = SY188 ) )
| ~ ~ ( ~ ! [SY107: $i] :
( ( SY107 != SY192 )
| ( icext @ SV3 @ SY107 ) )
| ~ ~ ( ~ ! [SY179: $i] :
( ( SY179 != SV9 )
| ( icext @ SV3 @ SY179 ) )
| ~ ! [SY109: $i] :
( ( SY109 != SY188 )
| ( icext @ SV3 @ SY109 ) ) ) ) ) )
| ~ ( ! [SY197: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV15 )
| ~ ( iext @ uri_rdf_first @ SV15 @ SY188 )
| ~ ( iext @ uri_rdf_rest @ SV15 @ SY197 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY197 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY197 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
| ( ic @ SV3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(80,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c2 @ sK3_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY44 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY44 @ sK4_SY51 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY51 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY51 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c3 @ sK5_SY57 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY57 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY57 @ sK6_SY62 ) )
| ~ ( iext @ uri_rdf_first @ sK6_SY62 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK6_SY62 @ sK7_SY66 ) )
| ~ ( iext @ uri_rdf_first @ sK7_SY66 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK7_SY66 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ uri_ex_c4 @ sK8_SY69 ) )
| ~ ( iext @ uri_rdf_first @ sK8_SY69 @ uri_ex_c1 ) )
| ~ ( iext @ uri_rdf_rest @ sK8_SY69 @ sK9_SY71 ) )
| ~ ( iext @ uri_rdf_first @ sK9_SY71 @ uri_ex_c2 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(81,plain,
! [SV1: $i,SV7: $i,SV4: $i] :
( ( ~ ! [SY149: $i,SY150: $i] :
( ~ ( iext @ uri_rdf_first @ SV4 @ SV7 )
| ~ ( iext @ uri_rdf_rest @ SV4 @ SY149 )
| ~ ( iext @ uri_rdf_first @ SY149 @ SY150 )
| ~ ( iext @ uri_rdf_rest @ SY149 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( ~ ( icext @ SV1 @ ( sK12_X @ SY150 @ SY149 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SY150 @ SY149 @ SV7 @ SV4 @ SV1 )
!= SV7 ) )
| ~ ( ~ ( icext @ SV1 @ ( sK12_X @ SY150 @ SY149 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SY150 @ SY149 @ SV7 @ SV4 @ SV1 )
!= SY150 ) ) )
| ~ ( ( icext @ SV1 @ ( sK12_X @ SY150 @ SY149 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SY150 @ SY149 @ SV7 @ SV4 @ SV1 )
= SV7 )
| ( ( sK12_X @ SY150 @ SY149 @ SV7 @ SV4 @ SV1 )
= SY150 ) ) )
| ~ ( ic @ SV1 )
| ( iext @ uri_owl_oneOf @ SV1 @ SV4 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(82,plain,
! [SV1: $i,SV7: $i,SV4: $i] :
( ( ~ ~ ( ~ ! [SY151: $i,SY152: $i] :
( ~ ( iext @ uri_rdf_first @ SV4 @ SV7 )
| ~ ( iext @ uri_rdf_rest @ SV4 @ SY151 )
| ~ ( iext @ uri_rdf_first @ SY151 @ SY152 )
| ~ ( iext @ uri_rdf_rest @ SY151 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
| ~ ( ~ ! [SY153: $i] :
( ~ ( icext @ SV1 @ SY153 )
| ( SY153 = SV7 )
| ( SY153 = SY152 ) )
| ~ ~ ( ~ ! [SY154: $i] :
( ( SY154 != SV7 )
| ( icext @ SV1 @ SY154 ) )
| ~ ! [SY80: $i] :
( ( SY80 != SY152 )
| ( icext @ SV1 @ SY80 ) ) ) ) )
| ~ ( ! [SY156: $i] :
( ~ ( iext @ uri_rdf_first @ SV4 @ SV7 )
| ~ ( iext @ uri_rdf_rest @ SV4 @ SY156 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY156 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY156 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
| ( ic @ SV1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(83,plain,
! [SV10: $i] :
( ( ( ! [SY183: $i] :
~ ( iext @ uri_owl_oneOf @ SV10 @ SY183 ) )
= $true )
| ( ( ic @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[72]) ).
thf(84,plain,
! [SV16: $i,SV11: $i] :
( ( ~ ( iext @ uri_owl_oneOf @ SV11 @ SV16 )
| ( icext @ uri_rdf_List @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(85,plain,
! [SV2: $i,SV8: $i,SV5: $i] :
( ( ~ ! [SY158: $i,SY159: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY158 )
| ~ ( iext @ uri_rdf_first @ SY158 @ SY159 )
| ~ ( iext @ uri_rdf_rest @ SY158 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( ~ ( icext @ SV2 @ ( sK13_X @ SY159 @ SY158 @ SV8 @ SV5 @ SV2 ) )
| ~ ( icext @ SV8 @ ( sK13_X @ SY159 @ SY158 @ SV8 @ SV5 @ SV2 ) ) )
| ~ ( ~ ( icext @ SV2 @ ( sK13_X @ SY159 @ SY158 @ SV8 @ SV5 @ SV2 ) )
| ~ ( icext @ SY159 @ ( sK13_X @ SY159 @ SY158 @ SV8 @ SV5 @ SV2 ) ) ) )
| ~ ( ( icext @ SV2 @ ( sK13_X @ SY159 @ SY158 @ SV8 @ SV5 @ SV2 ) )
| ( icext @ SV8 @ ( sK13_X @ SY159 @ SY158 @ SV8 @ SV5 @ SV2 ) )
| ( icext @ SY159 @ ( sK13_X @ SY159 @ SY158 @ SV8 @ SV5 @ SV2 ) ) ) )
| ~ ( ic @ SV2 )
| ~ ( ic @ SV8 )
| ~ ( ic @ SY159 )
| ( iext @ uri_owl_unionOf @ SV2 @ SV5 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[74]) ).
thf(86,plain,
! [SV2: $i,SV8: $i,SV5: $i] :
( ( ~ ~ ( ~ ! [SY160: $i,SY161: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY160 )
| ~ ( iext @ uri_rdf_first @ SY160 @ SY161 )
| ~ ( iext @ uri_rdf_rest @ SY160 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ~ ( ~ ! [SY162: $i] :
( ~ ( icext @ SV2 @ SY162 )
| ( icext @ SV8 @ SY162 )
| ( icext @ SY161 @ SY162 ) )
| ~ ~ ( ~ ! [SY163: $i] :
( ~ ( icext @ SV8 @ SY163 )
| ( icext @ SV2 @ SY163 ) )
| ~ ! [SY91: $i] :
( ~ ( icext @ SY161 @ SY91 )
| ( icext @ SV2 @ SY91 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SY165: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY165 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY165 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY165 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV2 ) )
| ~ ( ! [SY167: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY167 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY167 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY167 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV8 ) ) )
| ~ ! [SY169: $i,SY170: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY169 )
| ~ ( iext @ uri_rdf_first @ SY169 @ SY170 )
| ~ ( iext @ uri_rdf_rest @ SY169 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SY170 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[74]) ).
thf(87,plain,
! [SV17: $i,SV12: $i] :
( ( ~ ( ~ ( ~ ( icext @ SV12 @ ( sK10_X @ SV17 @ SV12 ) )
| ~ ( icext @ SV17 @ ( sK10_X @ SV17 @ SV12 ) ) )
| ~ ( ( icext @ SV12 @ ( sK10_X @ SV17 @ SV12 ) )
| ( icext @ SV17 @ ( sK10_X @ SV17 @ SV12 ) ) ) )
| ~ ( ic @ SV12 )
| ~ ( ic @ SV17 )
| ( iext @ uri_owl_equivalentClass @ SV12 @ SV17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(88,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( icext @ SX0 @ SX2 )
| ( icext @ SX1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( icext @ SX1 @ SX2 )
| ( icext @ SX0 @ SX2 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[76]) ).
thf(89,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ( ic @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ( ic @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[76]) ).
thf(90,plain,
! [SV13: $i] :
( ( ( ! [SY186: $i] :
~ ( iext @ uri_owl_unionOf @ SV13 @ SY186 ) )
= $true )
| ( ( ic @ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[77]) ).
thf(91,plain,
! [SV18: $i,SV14: $i] :
( ( ~ ( iext @ uri_owl_unionOf @ SV14 @ SV18 )
| ( icext @ uri_rdf_List @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(92,plain,
! [SV3: $i,SV19: $i,SV15: $i,SV9: $i,SV6: $i] :
( ( ~ ( ~ ! [SY199: $i,SY200: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV15 )
| ~ ( iext @ uri_rdf_first @ SV15 @ SV19 )
| ~ ( iext @ uri_rdf_rest @ SV15 @ SY199 )
| ~ ( iext @ uri_rdf_first @ SY199 @ SY200 )
| ~ ( iext @ uri_rdf_rest @ SY199 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SY200 @ SY199 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SY200 @ SY199 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SY200 ) )
| ~ ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SY200 @ SY199 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SY200 @ SY199 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV9 ) )
| ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SY200 @ SY199 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SY200 @ SY199 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV19 ) ) ) )
| ~ ( ( icext @ SV3 @ ( sK11_X @ SY200 @ SY199 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SY200 @ SY199 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SY200 )
| ( ( sK11_X @ SY200 @ SY199 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV9 )
| ( ( sK11_X @ SY200 @ SY199 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV19 ) ) )
| ~ ( ic @ SV3 )
| ( iext @ uri_owl_oneOf @ SV3 @ SV6 ) )
| ~ ~ ( ~ ! [SY201: $i,SY202: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV15 )
| ~ ( iext @ uri_rdf_first @ SV15 @ SV19 )
| ~ ( iext @ uri_rdf_rest @ SV15 @ SY201 )
| ~ ( iext @ uri_rdf_first @ SY201 @ SY202 )
| ~ ( iext @ uri_rdf_rest @ SY201 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
| ~ ( ~ ! [SY203: $i] :
( ~ ( icext @ SV3 @ SY203 )
| ( SY203 = SY202 )
| ( SY203 = SV9 )
| ( SY203 = SV19 ) )
| ~ ~ ( ~ ! [SY107: $i] :
( ( SY107 != SY202 )
| ( icext @ SV3 @ SY107 ) )
| ~ ~ ( ~ ! [SY179: $i] :
( ( SY179 != SV9 )
| ( icext @ SV3 @ SY179 ) )
| ~ ! [SY206: $i] :
( ( SY206 != SV19 )
| ( icext @ SV3 @ SY206 ) ) ) ) ) )
| ~ ( ! [SY207: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV15 )
| ~ ( iext @ uri_rdf_first @ SV15 @ SV19 )
| ~ ( iext @ uri_rdf_rest @ SV15 @ SY207 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY207 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY207 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
| ( ic @ SV3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(93,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c2 @ sK3_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY44 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY44 @ sK4_SY51 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY51 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY51 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c3 @ sK5_SY57 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY57 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY57 @ sK6_SY62 ) )
| ~ ( iext @ uri_rdf_first @ sK6_SY62 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK6_SY62 @ sK7_SY66 ) )
| ~ ( iext @ uri_rdf_first @ sK7_SY66 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK7_SY66 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ uri_ex_c4 @ sK8_SY69 ) )
| ~ ( iext @ uri_rdf_first @ sK8_SY69 @ uri_ex_c1 ) )
| ~ ( iext @ uri_rdf_rest @ sK8_SY69 @ sK9_SY71 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[80]) ).
thf(94,plain,
( ( ~ ( iext @ uri_rdf_first @ sK9_SY71 @ uri_ex_c2 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[80]) ).
thf(95,plain,
! [SV1: $i,SV7: $i,SV4: $i] :
( ( ! [SY149: $i,SY150: $i] :
( ~ ( iext @ uri_rdf_first @ SV4 @ SV7 )
| ~ ( iext @ uri_rdf_rest @ SV4 @ SY149 )
| ~ ( iext @ uri_rdf_first @ SY149 @ SY150 )
| ~ ( iext @ uri_rdf_rest @ SY149 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( ~ ( icext @ SV1 @ ( sK12_X @ SY150 @ SY149 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SY150 @ SY149 @ SV7 @ SV4 @ SV1 )
!= SV7 ) )
| ~ ( ~ ( icext @ SV1 @ ( sK12_X @ SY150 @ SY149 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SY150 @ SY149 @ SV7 @ SV4 @ SV1 )
!= SY150 ) ) )
| ~ ( ( icext @ SV1 @ ( sK12_X @ SY150 @ SY149 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SY150 @ SY149 @ SV7 @ SV4 @ SV1 )
= SV7 )
| ( ( sK12_X @ SY150 @ SY149 @ SV7 @ SV4 @ SV1 )
= SY150 ) ) )
| ~ ( ic @ SV1 )
| ( iext @ uri_owl_oneOf @ SV1 @ SV4 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[81]) ).
thf(96,plain,
! [SV1: $i,SV7: $i,SV4: $i] :
( ( ~ ( ~ ! [SY151: $i,SY152: $i] :
( ~ ( iext @ uri_rdf_first @ SV4 @ SV7 )
| ~ ( iext @ uri_rdf_rest @ SV4 @ SY151 )
| ~ ( iext @ uri_rdf_first @ SY151 @ SY152 )
| ~ ( iext @ uri_rdf_rest @ SY151 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
| ~ ( ~ ! [SY153: $i] :
( ~ ( icext @ SV1 @ SY153 )
| ( SY153 = SV7 )
| ( SY153 = SY152 ) )
| ~ ~ ( ~ ! [SY154: $i] :
( ( SY154 != SV7 )
| ( icext @ SV1 @ SY154 ) )
| ~ ! [SY80: $i] :
( ( SY80 != SY152 )
| ( icext @ SV1 @ SY80 ) ) ) ) )
| ~ ( ! [SY156: $i] :
( ~ ( iext @ uri_rdf_first @ SV4 @ SV7 )
| ~ ( iext @ uri_rdf_rest @ SV4 @ SY156 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY156 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY156 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
| ( ic @ SV1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[82]) ).
thf(97,plain,
! [SV20: $i,SV10: $i] :
( ( ( ~ ( iext @ uri_owl_oneOf @ SV10 @ SV20 ) )
= $true )
| ( ( ic @ SV10 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(98,plain,
! [SV16: $i,SV11: $i] :
( ( ( ~ ( iext @ uri_owl_oneOf @ SV11 @ SV16 ) )
= $true )
| ( ( icext @ uri_rdf_List @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[84]) ).
thf(99,plain,
! [SV2: $i,SV8: $i,SV5: $i] :
( ( ! [SY158: $i,SY159: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY158 )
| ~ ( iext @ uri_rdf_first @ SY158 @ SY159 )
| ~ ( iext @ uri_rdf_rest @ SY158 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( ~ ( icext @ SV2 @ ( sK13_X @ SY159 @ SY158 @ SV8 @ SV5 @ SV2 ) )
| ~ ( icext @ SV8 @ ( sK13_X @ SY159 @ SY158 @ SV8 @ SV5 @ SV2 ) ) )
| ~ ( ~ ( icext @ SV2 @ ( sK13_X @ SY159 @ SY158 @ SV8 @ SV5 @ SV2 ) )
| ~ ( icext @ SY159 @ ( sK13_X @ SY159 @ SY158 @ SV8 @ SV5 @ SV2 ) ) ) )
| ~ ( ( icext @ SV2 @ ( sK13_X @ SY159 @ SY158 @ SV8 @ SV5 @ SV2 ) )
| ( icext @ SV8 @ ( sK13_X @ SY159 @ SY158 @ SV8 @ SV5 @ SV2 ) )
| ( icext @ SY159 @ ( sK13_X @ SY159 @ SY158 @ SV8 @ SV5 @ SV2 ) ) ) )
| ~ ( ic @ SV2 )
| ~ ( ic @ SV8 )
| ~ ( ic @ SY159 )
| ( iext @ uri_owl_unionOf @ SV2 @ SV5 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[85]) ).
thf(100,plain,
! [SV2: $i,SV8: $i,SV5: $i] :
( ( ~ ( ~ ! [SY160: $i,SY161: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY160 )
| ~ ( iext @ uri_rdf_first @ SY160 @ SY161 )
| ~ ( iext @ uri_rdf_rest @ SY160 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ~ ( ~ ! [SY162: $i] :
( ~ ( icext @ SV2 @ SY162 )
| ( icext @ SV8 @ SY162 )
| ( icext @ SY161 @ SY162 ) )
| ~ ~ ( ~ ! [SY163: $i] :
( ~ ( icext @ SV8 @ SY163 )
| ( icext @ SV2 @ SY163 ) )
| ~ ! [SY91: $i] :
( ~ ( icext @ SY161 @ SY91 )
| ( icext @ SV2 @ SY91 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SY165: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY165 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY165 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY165 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV2 ) )
| ~ ( ! [SY167: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY167 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY167 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY167 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV8 ) ) )
| ~ ! [SY169: $i,SY170: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY169 )
| ~ ( iext @ uri_rdf_first @ SY169 @ SY170 )
| ~ ( iext @ uri_rdf_rest @ SY169 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SY170 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[86]) ).
thf(101,plain,
! [SV17: $i,SV12: $i] :
( ( ( ~ ( ~ ( ~ ( icext @ SV12 @ ( sK10_X @ SV17 @ SV12 ) )
| ~ ( icext @ SV17 @ ( sK10_X @ SV17 @ SV12 ) ) )
| ~ ( ( icext @ SV12 @ ( sK10_X @ SV17 @ SV12 ) )
| ( icext @ SV17 @ ( sK10_X @ SV17 @ SV12 ) ) ) )
| ~ ( ic @ SV12 )
| ~ ( ic @ SV17 ) )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV12 @ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[87]) ).
thf(102,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( icext @ SX0 @ SX2 )
| ( icext @ SX1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( icext @ SX1 @ SX2 )
| ( icext @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[88]) ).
thf(103,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ( ic @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ( ic @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[89]) ).
thf(104,plain,
! [SV21: $i,SV13: $i] :
( ( ( ~ ( iext @ uri_owl_unionOf @ SV13 @ SV21 ) )
= $true )
| ( ( ic @ SV13 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(105,plain,
! [SV18: $i,SV14: $i] :
( ( ( ~ ( iext @ uri_owl_unionOf @ SV14 @ SV18 ) )
= $true )
| ( ( icext @ uri_rdf_List @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[91]) ).
thf(106,plain,
! [SV3: $i,SV19: $i,SV15: $i,SV9: $i,SV6: $i] :
( ( ~ ! [SY199: $i,SY200: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV15 )
| ~ ( iext @ uri_rdf_first @ SV15 @ SV19 )
| ~ ( iext @ uri_rdf_rest @ SV15 @ SY199 )
| ~ ( iext @ uri_rdf_first @ SY199 @ SY200 )
| ~ ( iext @ uri_rdf_rest @ SY199 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SY200 @ SY199 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SY200 @ SY199 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SY200 ) )
| ~ ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SY200 @ SY199 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SY200 @ SY199 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV9 ) )
| ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SY200 @ SY199 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SY200 @ SY199 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV19 ) ) ) )
| ~ ( ( icext @ SV3 @ ( sK11_X @ SY200 @ SY199 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SY200 @ SY199 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SY200 )
| ( ( sK11_X @ SY200 @ SY199 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV9 )
| ( ( sK11_X @ SY200 @ SY199 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV19 ) ) )
| ~ ( ic @ SV3 )
| ( iext @ uri_owl_oneOf @ SV3 @ SV6 ) )
| ~ ~ ( ~ ! [SY201: $i,SY202: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV15 )
| ~ ( iext @ uri_rdf_first @ SV15 @ SV19 )
| ~ ( iext @ uri_rdf_rest @ SV15 @ SY201 )
| ~ ( iext @ uri_rdf_first @ SY201 @ SY202 )
| ~ ( iext @ uri_rdf_rest @ SY201 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
| ~ ( ~ ! [SY203: $i] :
( ~ ( icext @ SV3 @ SY203 )
| ( SY203 = SY202 )
| ( SY203 = SV9 )
| ( SY203 = SV19 ) )
| ~ ~ ( ~ ! [SY107: $i] :
( ( SY107 != SY202 )
| ( icext @ SV3 @ SY107 ) )
| ~ ~ ( ~ ! [SY179: $i] :
( ( SY179 != SV9 )
| ( icext @ SV3 @ SY179 ) )
| ~ ! [SY206: $i] :
( ( SY206 != SV19 )
| ( icext @ SV3 @ SY206 ) ) ) ) ) )
| ~ ( ! [SY207: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV15 )
| ~ ( iext @ uri_rdf_first @ SV15 @ SV19 )
| ~ ( iext @ uri_rdf_rest @ SV15 @ SY207 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY207 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY207 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
| ( ic @ SV3 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(107,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c2 @ sK3_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY44 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY44 @ sK4_SY51 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY51 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY51 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c3 @ sK5_SY57 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY57 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY57 @ sK6_SY62 ) )
| ~ ( iext @ uri_rdf_first @ sK6_SY62 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK6_SY62 @ sK7_SY66 ) )
| ~ ( iext @ uri_rdf_first @ sK7_SY66 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK7_SY66 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ uri_ex_c4 @ sK8_SY69 ) )
| ~ ( iext @ uri_rdf_first @ sK8_SY69 @ uri_ex_c1 ) )
| ~ ( iext @ uri_rdf_rest @ sK8_SY69 @ sK9_SY71 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[93]) ).
thf(108,plain,
( ( iext @ uri_rdf_first @ sK9_SY71 @ uri_ex_c2 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[94]) ).
thf(109,plain,
! [SV1: $i,SV22: $i,SV7: $i,SV4: $i] :
( ( ! [SY209: $i] :
( ~ ( iext @ uri_rdf_first @ SV4 @ SV7 )
| ~ ( iext @ uri_rdf_rest @ SV4 @ SV22 )
| ~ ( iext @ uri_rdf_first @ SV22 @ SY209 )
| ~ ( iext @ uri_rdf_rest @ SV22 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( ~ ( icext @ SV1 @ ( sK12_X @ SY209 @ SV22 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SY209 @ SV22 @ SV7 @ SV4 @ SV1 )
!= SV7 ) )
| ~ ( ~ ( icext @ SV1 @ ( sK12_X @ SY209 @ SV22 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SY209 @ SV22 @ SV7 @ SV4 @ SV1 )
!= SY209 ) ) )
| ~ ( ( icext @ SV1 @ ( sK12_X @ SY209 @ SV22 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SY209 @ SV22 @ SV7 @ SV4 @ SV1 )
= SV7 )
| ( ( sK12_X @ SY209 @ SV22 @ SV7 @ SV4 @ SV1 )
= SY209 ) ) )
| ~ ( ic @ SV1 )
| ( iext @ uri_owl_oneOf @ SV1 @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(110,plain,
! [SV1: $i,SV7: $i,SV4: $i] :
( ( ~ ! [SY151: $i,SY152: $i] :
( ~ ( iext @ uri_rdf_first @ SV4 @ SV7 )
| ~ ( iext @ uri_rdf_rest @ SV4 @ SY151 )
| ~ ( iext @ uri_rdf_first @ SY151 @ SY152 )
| ~ ( iext @ uri_rdf_rest @ SY151 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
| ~ ( ~ ! [SY153: $i] :
( ~ ( icext @ SV1 @ SY153 )
| ( SY153 = SV7 )
| ( SY153 = SY152 ) )
| ~ ~ ( ~ ! [SY154: $i] :
( ( SY154 != SV7 )
| ( icext @ SV1 @ SY154 ) )
| ~ ! [SY80: $i] :
( ( SY80 != SY152 )
| ( icext @ SV1 @ SY80 ) ) ) ) )
| ~ ( ! [SY156: $i] :
( ~ ( iext @ uri_rdf_first @ SV4 @ SV7 )
| ~ ( iext @ uri_rdf_rest @ SV4 @ SY156 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY156 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY156 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
| ( ic @ SV1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(111,plain,
! [SV20: $i,SV10: $i] :
( ( ( iext @ uri_owl_oneOf @ SV10 @ SV20 )
= $false )
| ( ( ic @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(112,plain,
! [SV16: $i,SV11: $i] :
( ( ( iext @ uri_owl_oneOf @ SV11 @ SV16 )
= $false )
| ( ( icext @ uri_rdf_List @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(113,plain,
! [SV2: $i,SV23: $i,SV8: $i,SV5: $i] :
( ( ! [SY210: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SV23 )
| ~ ( iext @ uri_rdf_first @ SV23 @ SY210 )
| ~ ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( ~ ( icext @ SV2 @ ( sK13_X @ SY210 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ~ ( icext @ SV8 @ ( sK13_X @ SY210 @ SV23 @ SV8 @ SV5 @ SV2 ) ) )
| ~ ( ~ ( icext @ SV2 @ ( sK13_X @ SY210 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ~ ( icext @ SY210 @ ( sK13_X @ SY210 @ SV23 @ SV8 @ SV5 @ SV2 ) ) ) )
| ~ ( ( icext @ SV2 @ ( sK13_X @ SY210 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ( icext @ SV8 @ ( sK13_X @ SY210 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ( icext @ SY210 @ ( sK13_X @ SY210 @ SV23 @ SV8 @ SV5 @ SV2 ) ) ) )
| ~ ( ic @ SV2 )
| ~ ( ic @ SV8 )
| ~ ( ic @ SY210 )
| ( iext @ uri_owl_unionOf @ SV2 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(114,plain,
! [SV2: $i,SV8: $i,SV5: $i] :
( ( ~ ! [SY160: $i,SY161: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY160 )
| ~ ( iext @ uri_rdf_first @ SY160 @ SY161 )
| ~ ( iext @ uri_rdf_rest @ SY160 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ~ ( ~ ! [SY162: $i] :
( ~ ( icext @ SV2 @ SY162 )
| ( icext @ SV8 @ SY162 )
| ( icext @ SY161 @ SY162 ) )
| ~ ~ ( ~ ! [SY163: $i] :
( ~ ( icext @ SV8 @ SY163 )
| ( icext @ SV2 @ SY163 ) )
| ~ ! [SY91: $i] :
( ~ ( icext @ SY161 @ SY91 )
| ( icext @ SV2 @ SY91 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SY165: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY165 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY165 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY165 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV2 ) )
| ~ ( ! [SY167: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY167 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY167 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY167 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV8 ) ) )
| ~ ! [SY169: $i,SY170: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY169 )
| ~ ( iext @ uri_rdf_first @ SY169 @ SY170 )
| ~ ( iext @ uri_rdf_rest @ SY169 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SY170 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(115,plain,
! [SV17: $i,SV12: $i] :
( ( ( ~ ( ~ ( ~ ( icext @ SV12 @ ( sK10_X @ SV17 @ SV12 ) )
| ~ ( icext @ SV17 @ ( sK10_X @ SV17 @ SV12 ) ) )
| ~ ( ( icext @ SV12 @ ( sK10_X @ SV17 @ SV12 ) )
| ( icext @ SV17 @ ( sK10_X @ SV17 @ SV12 ) ) ) ) )
= $true )
| ( ( ~ ( ic @ SV12 )
| ~ ( ic @ SV17 ) )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV12 @ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[101]) ).
thf(116,plain,
! [SV24: $i] :
( ( ! [SY211: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ SV24 @ SY211 )
| ~ ( ~ ! [SY212: $i] :
( ~ ( icext @ SV24 @ SY212 )
| ( icext @ SY211 @ SY212 ) )
| ~ ! [SY213: $i] :
( ~ ( icext @ SY211 @ SY213 )
| ( icext @ SV24 @ SY213 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(117,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ( ic @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ( ic @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(118,plain,
! [SV21: $i,SV13: $i] :
( ( ( iext @ uri_owl_unionOf @ SV13 @ SV21 )
= $false )
| ( ( ic @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(119,plain,
! [SV18: $i,SV14: $i] :
( ( ( iext @ uri_owl_unionOf @ SV14 @ SV18 )
= $false )
| ( ( icext @ uri_rdf_List @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(120,plain,
! [SV3: $i,SV19: $i,SV15: $i,SV9: $i,SV6: $i] :
( ( ~ ! [SY199: $i,SY200: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV15 )
| ~ ( iext @ uri_rdf_first @ SV15 @ SV19 )
| ~ ( iext @ uri_rdf_rest @ SV15 @ SY199 )
| ~ ( iext @ uri_rdf_first @ SY199 @ SY200 )
| ~ ( iext @ uri_rdf_rest @ SY199 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SY200 @ SY199 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SY200 @ SY199 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SY200 ) )
| ~ ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SY200 @ SY199 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SY200 @ SY199 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV9 ) )
| ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SY200 @ SY199 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SY200 @ SY199 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV19 ) ) ) )
| ~ ( ( icext @ SV3 @ ( sK11_X @ SY200 @ SY199 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SY200 @ SY199 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SY200 )
| ( ( sK11_X @ SY200 @ SY199 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV9 )
| ( ( sK11_X @ SY200 @ SY199 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV19 ) ) )
| ~ ( ic @ SV3 )
| ( iext @ uri_owl_oneOf @ SV3 @ SV6 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[106]) ).
thf(121,plain,
! [SV3: $i,SV19: $i,SV15: $i,SV9: $i,SV6: $i] :
( ( ~ ~ ( ~ ! [SY201: $i,SY202: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV15 )
| ~ ( iext @ uri_rdf_first @ SV15 @ SV19 )
| ~ ( iext @ uri_rdf_rest @ SV15 @ SY201 )
| ~ ( iext @ uri_rdf_first @ SY201 @ SY202 )
| ~ ( iext @ uri_rdf_rest @ SY201 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
| ~ ( ~ ! [SY203: $i] :
( ~ ( icext @ SV3 @ SY203 )
| ( SY203 = SY202 )
| ( SY203 = SV9 )
| ( SY203 = SV19 ) )
| ~ ~ ( ~ ! [SY107: $i] :
( ( SY107 != SY202 )
| ( icext @ SV3 @ SY107 ) )
| ~ ~ ( ~ ! [SY179: $i] :
( ( SY179 != SV9 )
| ( icext @ SV3 @ SY179 ) )
| ~ ! [SY206: $i] :
( ( SY206 != SV19 )
| ( icext @ SV3 @ SY206 ) ) ) ) ) )
| ~ ( ! [SY207: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV15 )
| ~ ( iext @ uri_rdf_first @ SV15 @ SV19 )
| ~ ( iext @ uri_rdf_rest @ SV15 @ SY207 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY207 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY207 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
| ( ic @ SV3 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[106]) ).
thf(122,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c2 @ sK3_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY44 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY44 @ sK4_SY51 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY51 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY51 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c3 @ sK5_SY57 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY57 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY57 @ sK6_SY62 ) )
| ~ ( iext @ uri_rdf_first @ sK6_SY62 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK6_SY62 @ sK7_SY66 ) )
| ~ ( iext @ uri_rdf_first @ sK7_SY66 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK7_SY66 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ uri_ex_c4 @ sK8_SY69 ) )
| ~ ( iext @ uri_rdf_first @ sK8_SY69 @ uri_ex_c1 ) )
| ~ ( iext @ uri_rdf_rest @ sK8_SY69 @ sK9_SY71 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(123,plain,
! [SV1: $i,SV25: $i,SV22: $i,SV7: $i,SV4: $i] :
( ( ~ ( iext @ uri_rdf_first @ SV4 @ SV7 )
| ~ ( iext @ uri_rdf_rest @ SV4 @ SV22 )
| ~ ( iext @ uri_rdf_first @ SV22 @ SV25 )
| ~ ( iext @ uri_rdf_rest @ SV22 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( ~ ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
!= SV7 ) )
| ~ ( ~ ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
!= SV25 ) ) )
| ~ ( ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
= SV7 )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
= SV25 ) ) )
| ~ ( ic @ SV1 )
| ( iext @ uri_owl_oneOf @ SV1 @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(124,plain,
! [SV1: $i,SV7: $i,SV4: $i] :
( ( ~ ! [SY151: $i,SY152: $i] :
( ~ ( iext @ uri_rdf_first @ SV4 @ SV7 )
| ~ ( iext @ uri_rdf_rest @ SV4 @ SY151 )
| ~ ( iext @ uri_rdf_first @ SY151 @ SY152 )
| ~ ( iext @ uri_rdf_rest @ SY151 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
| ~ ( ~ ! [SY153: $i] :
( ~ ( icext @ SV1 @ SY153 )
| ( SY153 = SV7 )
| ( SY153 = SY152 ) )
| ~ ~ ( ~ ! [SY154: $i] :
( ( SY154 != SV7 )
| ( icext @ SV1 @ SY154 ) )
| ~ ! [SY80: $i] :
( ( SY80 != SY152 )
| ( icext @ SV1 @ SY80 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[110]) ).
thf(125,plain,
! [SV1: $i,SV7: $i,SV4: $i] :
( ( ~ ( ! [SY156: $i] :
( ~ ( iext @ uri_rdf_first @ SV4 @ SV7 )
| ~ ( iext @ uri_rdf_rest @ SV4 @ SY156 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY156 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY156 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
| ( ic @ SV1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[110]) ).
thf(126,plain,
! [SV2: $i,SV26: $i,SV23: $i,SV8: $i,SV5: $i] :
( ( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SV23 )
| ~ ( iext @ uri_rdf_first @ SV23 @ SV26 )
| ~ ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( ~ ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ~ ( icext @ SV8 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) ) )
| ~ ( ~ ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ~ ( icext @ SV26 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) ) ) )
| ~ ( ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ( icext @ SV8 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ( icext @ SV26 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) ) ) )
| ~ ( ic @ SV2 )
| ~ ( ic @ SV8 )
| ~ ( ic @ SV26 )
| ( iext @ uri_owl_unionOf @ SV2 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(127,plain,
! [SV2: $i,SV8: $i,SV5: $i] :
( ( ~ ! [SY160: $i,SY161: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY160 )
| ~ ( iext @ uri_rdf_first @ SY160 @ SY161 )
| ~ ( iext @ uri_rdf_rest @ SY160 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ~ ( ~ ! [SY162: $i] :
( ~ ( icext @ SV2 @ SY162 )
| ( icext @ SV8 @ SY162 )
| ( icext @ SY161 @ SY162 ) )
| ~ ~ ( ~ ! [SY163: $i] :
( ~ ( icext @ SV8 @ SY163 )
| ( icext @ SV2 @ SY163 ) )
| ~ ! [SY91: $i] :
( ~ ( icext @ SY161 @ SY91 )
| ( icext @ SV2 @ SY91 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[114]) ).
thf(128,plain,
! [SV2: $i,SV8: $i,SV5: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ! [SY165: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY165 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY165 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY165 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV2 ) )
| ~ ( ! [SY167: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY167 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY167 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY167 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV8 ) ) )
| ~ ! [SY169: $i,SY170: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY169 )
| ~ ( iext @ uri_rdf_first @ SY169 @ SY170 )
| ~ ( iext @ uri_rdf_rest @ SY169 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SY170 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[114]) ).
thf(129,plain,
! [SV17: $i,SV12: $i] :
( ( ( ~ ( ~ ( icext @ SV12 @ ( sK10_X @ SV17 @ SV12 ) )
| ~ ( icext @ SV17 @ ( sK10_X @ SV17 @ SV12 ) ) )
| ~ ( ( icext @ SV12 @ ( sK10_X @ SV17 @ SV12 ) )
| ( icext @ SV17 @ ( sK10_X @ SV17 @ SV12 ) ) ) )
= $false )
| ( ( ~ ( ic @ SV12 )
| ~ ( ic @ SV17 ) )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV12 @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(130,plain,
! [SV27: $i,SV24: $i] :
( ( ~ ( iext @ uri_owl_equivalentClass @ SV24 @ SV27 )
| ~ ( ~ ! [SY214: $i] :
( ~ ( icext @ SV24 @ SY214 )
| ( icext @ SV27 @ SY214 ) )
| ~ ! [SY215: $i] :
( ~ ( icext @ SV27 @ SY215 )
| ( icext @ SV24 @ SY215 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(131,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ( ic @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[117]) ).
thf(132,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ( ic @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[117]) ).
thf(133,plain,
! [SV3: $i,SV19: $i,SV15: $i,SV9: $i,SV6: $i] :
( ( ! [SY199: $i,SY200: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV15 )
| ~ ( iext @ uri_rdf_first @ SV15 @ SV19 )
| ~ ( iext @ uri_rdf_rest @ SV15 @ SY199 )
| ~ ( iext @ uri_rdf_first @ SY199 @ SY200 )
| ~ ( iext @ uri_rdf_rest @ SY199 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SY200 @ SY199 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SY200 @ SY199 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SY200 ) )
| ~ ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SY200 @ SY199 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SY200 @ SY199 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV9 ) )
| ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SY200 @ SY199 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SY200 @ SY199 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV19 ) ) ) )
| ~ ( ( icext @ SV3 @ ( sK11_X @ SY200 @ SY199 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SY200 @ SY199 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SY200 )
| ( ( sK11_X @ SY200 @ SY199 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV9 )
| ( ( sK11_X @ SY200 @ SY199 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV19 ) ) )
| ~ ( ic @ SV3 )
| ( iext @ uri_owl_oneOf @ SV3 @ SV6 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[120]) ).
thf(134,plain,
! [SV3: $i,SV19: $i,SV15: $i,SV9: $i,SV6: $i] :
( ( ~ ( ~ ! [SY201: $i,SY202: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV15 )
| ~ ( iext @ uri_rdf_first @ SV15 @ SV19 )
| ~ ( iext @ uri_rdf_rest @ SV15 @ SY201 )
| ~ ( iext @ uri_rdf_first @ SY201 @ SY202 )
| ~ ( iext @ uri_rdf_rest @ SY201 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
| ~ ( ~ ! [SY203: $i] :
( ~ ( icext @ SV3 @ SY203 )
| ( SY203 = SY202 )
| ( SY203 = SV9 )
| ( SY203 = SV19 ) )
| ~ ~ ( ~ ! [SY107: $i] :
( ( SY107 != SY202 )
| ( icext @ SV3 @ SY107 ) )
| ~ ~ ( ~ ! [SY179: $i] :
( ( SY179 != SV9 )
| ( icext @ SV3 @ SY179 ) )
| ~ ! [SY206: $i] :
( ( SY206 != SV19 )
| ( icext @ SV3 @ SY206 ) ) ) ) ) )
| ~ ( ! [SY207: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV15 )
| ~ ( iext @ uri_rdf_first @ SV15 @ SV19 )
| ~ ( iext @ uri_rdf_rest @ SV15 @ SY207 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY207 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY207 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
| ( ic @ SV3 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[121]) ).
thf(135,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c2 @ sK3_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY44 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY44 @ sK4_SY51 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY51 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY51 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c3 @ sK5_SY57 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY57 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY57 @ sK6_SY62 ) )
| ~ ( iext @ uri_rdf_first @ sK6_SY62 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK6_SY62 @ sK7_SY66 ) )
| ~ ( iext @ uri_rdf_first @ sK7_SY66 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK7_SY66 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ uri_ex_c4 @ sK8_SY69 ) )
| ~ ( iext @ uri_rdf_first @ sK8_SY69 @ uri_ex_c1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[122]) ).
thf(136,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK8_SY69 @ sK9_SY71 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[122]) ).
thf(137,plain,
! [SV1: $i,SV25: $i,SV22: $i,SV7: $i,SV4: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV4 @ SV7 )
| ~ ( iext @ uri_rdf_rest @ SV4 @ SV22 )
| ~ ( iext @ uri_rdf_first @ SV22 @ SV25 )
| ~ ( iext @ uri_rdf_rest @ SV22 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
!= SV7 ) )
| ~ ( ~ ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
!= SV25 ) ) )
| ~ ( ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
= SV7 )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
= SV25 ) ) )
| ~ ( ic @ SV1 )
| ( iext @ uri_owl_oneOf @ SV1 @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[123]) ).
thf(138,plain,
! [SV1: $i,SV7: $i,SV4: $i] :
( ( ! [SY151: $i,SY152: $i] :
( ~ ( iext @ uri_rdf_first @ SV4 @ SV7 )
| ~ ( iext @ uri_rdf_rest @ SV4 @ SY151 )
| ~ ( iext @ uri_rdf_first @ SY151 @ SY152 )
| ~ ( iext @ uri_rdf_rest @ SY151 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
| ~ ( ~ ! [SY153: $i] :
( ~ ( icext @ SV1 @ SY153 )
| ( SY153 = SV7 )
| ( SY153 = SY152 ) )
| ~ ~ ( ~ ! [SY154: $i] :
( ( SY154 != SV7 )
| ( icext @ SV1 @ SY154 ) )
| ~ ! [SY80: $i] :
( ( SY80 != SY152 )
| ( icext @ SV1 @ SY80 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[124]) ).
thf(139,plain,
! [SV1: $i,SV7: $i,SV4: $i] :
( ( ! [SY156: $i] :
( ~ ( iext @ uri_rdf_first @ SV4 @ SV7 )
| ~ ( iext @ uri_rdf_rest @ SV4 @ SY156 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY156 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY156 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
| ( ic @ SV1 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[125]) ).
thf(140,plain,
! [SV2: $i,SV26: $i,SV23: $i,SV8: $i,SV5: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SV23 )
| ~ ( iext @ uri_rdf_first @ SV23 @ SV26 )
| ~ ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ~ ( icext @ SV8 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) ) )
| ~ ( ~ ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ~ ( icext @ SV26 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) ) ) )
| ~ ( ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ( icext @ SV8 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ( icext @ SV26 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) ) ) )
| ~ ( ic @ SV2 )
| ~ ( ic @ SV8 )
| ~ ( ic @ SV26 )
| ( iext @ uri_owl_unionOf @ SV2 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[126]) ).
thf(141,plain,
! [SV2: $i,SV8: $i,SV5: $i] :
( ( ! [SY160: $i,SY161: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY160 )
| ~ ( iext @ uri_rdf_first @ SY160 @ SY161 )
| ~ ( iext @ uri_rdf_rest @ SY160 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ~ ( ~ ! [SY162: $i] :
( ~ ( icext @ SV2 @ SY162 )
| ( icext @ SV8 @ SY162 )
| ( icext @ SY161 @ SY162 ) )
| ~ ~ ( ~ ! [SY163: $i] :
( ~ ( icext @ SV8 @ SY163 )
| ( icext @ SV2 @ SY163 ) )
| ~ ! [SY91: $i] :
( ~ ( icext @ SY161 @ SY91 )
| ( icext @ SV2 @ SY91 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[127]) ).
thf(142,plain,
! [SV2: $i,SV8: $i,SV5: $i] :
( ( ~ ( ~ ~ ( ~ ( ! [SY165: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY165 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY165 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY165 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV2 ) )
| ~ ( ! [SY167: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY167 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY167 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY167 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV8 ) ) )
| ~ ! [SY169: $i,SY170: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY169 )
| ~ ( iext @ uri_rdf_first @ SY169 @ SY170 )
| ~ ( iext @ uri_rdf_rest @ SY169 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SY170 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[128]) ).
thf(143,plain,
! [SV17: $i,SV12: $i] :
( ( ( ~ ( ~ ( icext @ SV12 @ ( sK10_X @ SV17 @ SV12 ) )
| ~ ( icext @ SV17 @ ( sK10_X @ SV17 @ SV12 ) ) ) )
= $false )
| ( ( ~ ( ic @ SV12 )
| ~ ( ic @ SV17 ) )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV12 @ SV17 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[129]) ).
thf(144,plain,
! [SV17: $i,SV12: $i] :
( ( ( ~ ( ( icext @ SV12 @ ( sK10_X @ SV17 @ SV12 ) )
| ( icext @ SV17 @ ( sK10_X @ SV17 @ SV12 ) ) ) )
= $false )
| ( ( ~ ( ic @ SV12 )
| ~ ( ic @ SV17 ) )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV12 @ SV17 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[129]) ).
thf(145,plain,
! [SV27: $i,SV24: $i] :
( ( ( ~ ( iext @ uri_owl_equivalentClass @ SV24 @ SV27 ) )
= $true )
| ( ( ~ ( ~ ! [SY214: $i] :
( ~ ( icext @ SV24 @ SY214 )
| ( icext @ SV27 @ SY214 ) )
| ~ ! [SY215: $i] :
( ~ ( icext @ SV27 @ SY215 )
| ( icext @ SV24 @ SY215 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[130]) ).
thf(146,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ( ic @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[131]) ).
thf(147,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ( ic @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[132]) ).
thf(148,plain,
! [SV3: $i,SV28: $i,SV19: $i,SV15: $i,SV9: $i,SV6: $i] :
( ( ! [SY216: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV15 )
| ~ ( iext @ uri_rdf_first @ SV15 @ SV19 )
| ~ ( iext @ uri_rdf_rest @ SV15 @ SV28 )
| ~ ( iext @ uri_rdf_first @ SV28 @ SY216 )
| ~ ( iext @ uri_rdf_rest @ SV28 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SY216 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SY216 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SY216 ) )
| ~ ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SY216 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SY216 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV9 ) )
| ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SY216 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SY216 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV19 ) ) ) )
| ~ ( ( icext @ SV3 @ ( sK11_X @ SY216 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SY216 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SY216 )
| ( ( sK11_X @ SY216 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV9 )
| ( ( sK11_X @ SY216 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV19 ) ) )
| ~ ( ic @ SV3 )
| ( iext @ uri_owl_oneOf @ SV3 @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[133]) ).
thf(149,plain,
! [SV3: $i,SV19: $i,SV15: $i,SV9: $i,SV6: $i] :
( ( ~ ! [SY201: $i,SY202: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV15 )
| ~ ( iext @ uri_rdf_first @ SV15 @ SV19 )
| ~ ( iext @ uri_rdf_rest @ SV15 @ SY201 )
| ~ ( iext @ uri_rdf_first @ SY201 @ SY202 )
| ~ ( iext @ uri_rdf_rest @ SY201 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
| ~ ( ~ ! [SY203: $i] :
( ~ ( icext @ SV3 @ SY203 )
| ( SY203 = SY202 )
| ( SY203 = SV9 )
| ( SY203 = SV19 ) )
| ~ ~ ( ~ ! [SY107: $i] :
( ( SY107 != SY202 )
| ( icext @ SV3 @ SY107 ) )
| ~ ~ ( ~ ! [SY179: $i] :
( ( SY179 != SV9 )
| ( icext @ SV3 @ SY179 ) )
| ~ ! [SY206: $i] :
( ( SY206 != SV19 )
| ( icext @ SV3 @ SY206 ) ) ) ) ) )
| ~ ( ! [SY207: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV15 )
| ~ ( iext @ uri_rdf_first @ SV15 @ SV19 )
| ~ ( iext @ uri_rdf_rest @ SV15 @ SY207 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY207 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY207 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
| ( ic @ SV3 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(150,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c2 @ sK3_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY44 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY44 @ sK4_SY51 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY51 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY51 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c3 @ sK5_SY57 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY57 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY57 @ sK6_SY62 ) )
| ~ ( iext @ uri_rdf_first @ sK6_SY62 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK6_SY62 @ sK7_SY66 ) )
| ~ ( iext @ uri_rdf_first @ sK7_SY66 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK7_SY66 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ uri_ex_c4 @ sK8_SY69 ) )
| ~ ( iext @ uri_rdf_first @ sK8_SY69 @ uri_ex_c1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[135]) ).
thf(151,plain,
( ( iext @ uri_rdf_rest @ sK8_SY69 @ sK9_SY71 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[136]) ).
thf(152,plain,
! [SV1: $i,SV25: $i,SV22: $i,SV7: $i,SV4: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV4 @ SV7 )
| ~ ( iext @ uri_rdf_rest @ SV4 @ SV22 )
| ~ ( iext @ uri_rdf_first @ SV22 @ SV25 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV22 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
!= SV7 ) )
| ~ ( ~ ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
!= SV25 ) ) )
| ~ ( ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
= SV7 )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
= SV25 ) ) )
| ~ ( ic @ SV1 )
| ( iext @ uri_owl_oneOf @ SV1 @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[137]) ).
thf(153,plain,
! [SV1: $i,SV29: $i,SV7: $i,SV4: $i] :
( ( ! [SY217: $i] :
( ~ ( iext @ uri_rdf_first @ SV4 @ SV7 )
| ~ ( iext @ uri_rdf_rest @ SV4 @ SV29 )
| ~ ( iext @ uri_rdf_first @ SV29 @ SY217 )
| ~ ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
| ~ ( ~ ! [SY153: $i] :
( ~ ( icext @ SV1 @ SY153 )
| ( SY153 = SV7 )
| ( SY153 = SY217 ) )
| ~ ~ ( ~ ! [SY154: $i] :
( ( SY154 != SV7 )
| ( icext @ SV1 @ SY154 ) )
| ~ ! [SY80: $i] :
( ( SY80 != SY217 )
| ( icext @ SV1 @ SY80 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[138]) ).
thf(154,plain,
! [SV1: $i,SV7: $i,SV4: $i] :
( ( ( ! [SY156: $i] :
( ~ ( iext @ uri_rdf_first @ SV4 @ SV7 )
| ~ ( iext @ uri_rdf_rest @ SV4 @ SY156 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY156 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY156 @ uri_rdf_nil ) ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
| ( ic @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[139]) ).
thf(155,plain,
! [SV2: $i,SV26: $i,SV23: $i,SV8: $i,SV5: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SV23 )
| ~ ( iext @ uri_rdf_first @ SV23 @ SV26 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ~ ( icext @ SV8 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) ) )
| ~ ( ~ ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ~ ( icext @ SV26 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) ) ) )
| ~ ( ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ( icext @ SV8 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ( icext @ SV26 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) ) ) )
| ~ ( ic @ SV2 )
| ~ ( ic @ SV8 )
| ~ ( ic @ SV26 )
| ( iext @ uri_owl_unionOf @ SV2 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[140]) ).
thf(156,plain,
! [SV2: $i,SV30: $i,SV8: $i,SV5: $i] :
( ( ! [SY221: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SV30 )
| ~ ( iext @ uri_rdf_first @ SV30 @ SY221 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ~ ( ~ ! [SY162: $i] :
( ~ ( icext @ SV2 @ SY162 )
| ( icext @ SV8 @ SY162 )
| ( icext @ SY221 @ SY162 ) )
| ~ ~ ( ~ ! [SY163: $i] :
( ~ ( icext @ SV8 @ SY163 )
| ( icext @ SV2 @ SY163 ) )
| ~ ! [SY91: $i] :
( ~ ( icext @ SY221 @ SY91 )
| ( icext @ SV2 @ SY91 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(157,plain,
! [SV2: $i,SV8: $i,SV5: $i] :
( ( ~ ~ ( ~ ( ! [SY165: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY165 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY165 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY165 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV2 ) )
| ~ ( ! [SY167: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY167 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY167 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY167 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV8 ) ) )
| ~ ! [SY169: $i,SY170: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY169 )
| ~ ( iext @ uri_rdf_first @ SY169 @ SY170 )
| ~ ( iext @ uri_rdf_rest @ SY169 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SY170 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(158,plain,
! [SV17: $i,SV12: $i] :
( ( ( ~ ( icext @ SV12 @ ( sK10_X @ SV17 @ SV12 ) )
| ~ ( icext @ SV17 @ ( sK10_X @ SV17 @ SV12 ) ) )
= $true )
| ( ( ~ ( ic @ SV12 )
| ~ ( ic @ SV17 ) )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV12 @ SV17 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[143]) ).
thf(159,plain,
! [SV17: $i,SV12: $i] :
( ( ( ( icext @ SV12 @ ( sK10_X @ SV17 @ SV12 ) )
| ( icext @ SV17 @ ( sK10_X @ SV17 @ SV12 ) ) )
= $true )
| ( ( ~ ( ic @ SV12 )
| ~ ( ic @ SV17 ) )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV12 @ SV17 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[144]) ).
thf(160,plain,
! [SV27: $i,SV24: $i] :
( ( ( iext @ uri_owl_equivalentClass @ SV24 @ SV27 )
= $false )
| ( ( ~ ( ~ ! [SY214: $i] :
( ~ ( icext @ SV24 @ SY214 )
| ( icext @ SV27 @ SY214 ) )
| ~ ! [SY215: $i] :
( ~ ( icext @ SV27 @ SY215 )
| ( icext @ SV24 @ SY215 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[145]) ).
thf(161,plain,
! [SV31: $i] :
( ( ! [SY225: $i] :
~ ( iext @ uri_owl_equivalentClass @ SV31 @ SY225 )
| ( ic @ SV31 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[146]) ).
thf(162,plain,
! [SV32: $i] :
( ( ! [SY226: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ SV32 @ SY226 )
| ( ic @ SY226 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[147]) ).
thf(163,plain,
! [SV3: $i,SV33: $i,SV28: $i,SV19: $i,SV15: $i,SV9: $i,SV6: $i] :
( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV15 )
| ~ ( iext @ uri_rdf_first @ SV15 @ SV19 )
| ~ ( iext @ uri_rdf_rest @ SV15 @ SV28 )
| ~ ( iext @ uri_rdf_first @ SV28 @ SV33 )
| ~ ( iext @ uri_rdf_rest @ SV28 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV33 ) )
| ~ ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV9 ) )
| ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV19 ) ) ) )
| ~ ( ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV33 )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV9 )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV19 ) ) )
| ~ ( ic @ SV3 )
| ( iext @ uri_owl_oneOf @ SV3 @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[148]) ).
thf(164,plain,
! [SV3: $i,SV19: $i,SV15: $i,SV9: $i,SV6: $i] :
( ( ~ ! [SY201: $i,SY202: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV15 )
| ~ ( iext @ uri_rdf_first @ SV15 @ SV19 )
| ~ ( iext @ uri_rdf_rest @ SV15 @ SY201 )
| ~ ( iext @ uri_rdf_first @ SY201 @ SY202 )
| ~ ( iext @ uri_rdf_rest @ SY201 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
| ~ ( ~ ! [SY203: $i] :
( ~ ( icext @ SV3 @ SY203 )
| ( SY203 = SY202 )
| ( SY203 = SV9 )
| ( SY203 = SV19 ) )
| ~ ~ ( ~ ! [SY107: $i] :
( ( SY107 != SY202 )
| ( icext @ SV3 @ SY107 ) )
| ~ ~ ( ~ ! [SY179: $i] :
( ( SY179 != SV9 )
| ( icext @ SV3 @ SY179 ) )
| ~ ! [SY206: $i] :
( ( SY206 != SV19 )
| ( icext @ SV3 @ SY206 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[149]) ).
thf(165,plain,
! [SV3: $i,SV19: $i,SV15: $i,SV9: $i,SV6: $i] :
( ( ~ ( ! [SY207: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV15 )
| ~ ( iext @ uri_rdf_first @ SV15 @ SV19 )
| ~ ( iext @ uri_rdf_rest @ SV15 @ SY207 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY207 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY207 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
| ( ic @ SV3 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[149]) ).
thf(166,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c2 @ sK3_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY44 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY44 @ sK4_SY51 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY51 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY51 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c3 @ sK5_SY57 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY57 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY57 @ sK6_SY62 ) )
| ~ ( iext @ uri_rdf_first @ sK6_SY62 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK6_SY62 @ sK7_SY66 ) )
| ~ ( iext @ uri_rdf_first @ sK7_SY66 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK7_SY66 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ uri_ex_c4 @ sK8_SY69 ) )
| ~ ( iext @ uri_rdf_first @ sK8_SY69 @ uri_ex_c1 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(167,plain,
! [SV1: $i,SV25: $i,SV22: $i,SV7: $i,SV4: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV4 @ SV7 )
| ~ ( iext @ uri_rdf_rest @ SV4 @ SV22 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV22 @ SV25 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV22 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
!= SV7 ) )
| ~ ( ~ ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
!= SV25 ) ) )
| ~ ( ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
= SV7 )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
= SV25 ) ) )
| ~ ( ic @ SV1 )
| ( iext @ uri_owl_oneOf @ SV1 @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[152]) ).
thf(168,plain,
! [SV1: $i,SV34: $i,SV29: $i,SV7: $i,SV4: $i] :
( ( ~ ( iext @ uri_rdf_first @ SV4 @ SV7 )
| ~ ( iext @ uri_rdf_rest @ SV4 @ SV29 )
| ~ ( iext @ uri_rdf_first @ SV29 @ SV34 )
| ~ ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
| ~ ( ~ ! [SY227: $i] :
( ~ ( icext @ SV1 @ SY227 )
| ( SY227 = SV7 )
| ( SY227 = SV34 ) )
| ~ ~ ( ~ ! [SY154: $i] :
( ( SY154 != SV7 )
| ( icext @ SV1 @ SY154 ) )
| ~ ! [SY229: $i] :
( ( SY229 != SV34 )
| ( icext @ SV1 @ SY229 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[153]) ).
thf(169,plain,
! [SV1: $i,SV35: $i,SV7: $i,SV4: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV4 @ SV7 )
| ~ ( iext @ uri_rdf_rest @ SV4 @ SV35 )
| ! [SY230: $i] :
~ ( iext @ uri_rdf_first @ SV35 @ SY230 )
| ~ ( iext @ uri_rdf_rest @ SV35 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
| ( ic @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(170,plain,
! [SV2: $i,SV26: $i,SV23: $i,SV8: $i,SV5: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SV23 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV23 @ SV26 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ~ ( icext @ SV8 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) ) )
| ~ ( ~ ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ~ ( icext @ SV26 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) ) ) )
| ~ ( ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ( icext @ SV8 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ( icext @ SV26 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) ) ) )
| ~ ( ic @ SV2 )
| ~ ( ic @ SV8 )
| ~ ( ic @ SV26 )
| ( iext @ uri_owl_unionOf @ SV2 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[155]) ).
thf(171,plain,
! [SV2: $i,SV36: $i,SV30: $i,SV8: $i,SV5: $i] :
( ( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SV30 )
| ~ ( iext @ uri_rdf_first @ SV30 @ SV36 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ~ ( ~ ! [SY231: $i] :
( ~ ( icext @ SV2 @ SY231 )
| ( icext @ SV8 @ SY231 )
| ( icext @ SV36 @ SY231 ) )
| ~ ~ ( ~ ! [SY163: $i] :
( ~ ( icext @ SV8 @ SY163 )
| ( icext @ SV2 @ SY163 ) )
| ~ ! [SY233: $i] :
( ~ ( icext @ SV36 @ SY233 )
| ( icext @ SV2 @ SY233 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[156]) ).
thf(172,plain,
! [SV2: $i,SV8: $i,SV5: $i] :
( ( ~ ~ ( ~ ( ! [SY165: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY165 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY165 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY165 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV2 ) )
| ~ ( ! [SY167: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY167 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY167 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY167 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV8 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[157]) ).
thf(173,plain,
! [SV2: $i,SV8: $i,SV5: $i] :
( ( ~ ! [SY169: $i,SY170: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY169 )
| ~ ( iext @ uri_rdf_first @ SY169 @ SY170 )
| ~ ( iext @ uri_rdf_rest @ SY169 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SY170 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[157]) ).
thf(174,plain,
! [SV17: $i,SV12: $i] :
( ( ( ~ ( icext @ SV12 @ ( sK10_X @ SV17 @ SV12 ) ) )
= $true )
| ( ( ~ ( icext @ SV17 @ ( sK10_X @ SV17 @ SV12 ) ) )
= $true )
| ( ( ~ ( ic @ SV12 )
| ~ ( ic @ SV17 ) )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV12 @ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[158]) ).
thf(175,plain,
! [SV17: $i,SV12: $i] :
( ( ( icext @ SV12 @ ( sK10_X @ SV17 @ SV12 ) )
= $true )
| ( ( icext @ SV17 @ ( sK10_X @ SV17 @ SV12 ) )
= $true )
| ( ( ~ ( ic @ SV12 )
| ~ ( ic @ SV17 ) )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV12 @ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[159]) ).
thf(176,plain,
! [SV27: $i,SV24: $i] :
( ( ( ~ ! [SY214: $i] :
( ~ ( icext @ SV24 @ SY214 )
| ( icext @ SV27 @ SY214 ) )
| ~ ! [SY215: $i] :
( ~ ( icext @ SV27 @ SY215 )
| ( icext @ SV24 @ SY215 ) ) )
= $false )
| ( ( iext @ uri_owl_equivalentClass @ SV24 @ SV27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(177,plain,
! [SV31: $i] :
( ( ( ! [SY225: $i] :
~ ( iext @ uri_owl_equivalentClass @ SV31 @ SY225 ) )
= $true )
| ( ( ic @ SV31 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[161]) ).
thf(178,plain,
! [SV37: $i,SV32: $i] :
( ( ~ ( iext @ uri_owl_equivalentClass @ SV32 @ SV37 )
| ( ic @ SV37 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[162]) ).
thf(179,plain,
! [SV3: $i,SV33: $i,SV28: $i,SV19: $i,SV15: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV15 )
| ~ ( iext @ uri_rdf_first @ SV15 @ SV19 )
| ~ ( iext @ uri_rdf_rest @ SV15 @ SV28 )
| ~ ( iext @ uri_rdf_first @ SV28 @ SV33 )
| ~ ( iext @ uri_rdf_rest @ SV28 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV33 ) )
| ~ ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV9 ) )
| ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV19 ) ) ) )
| ~ ( ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV33 )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV9 )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV19 ) ) )
| ~ ( ic @ SV3 )
| ( iext @ uri_owl_oneOf @ SV3 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[163]) ).
thf(180,plain,
! [SV3: $i,SV19: $i,SV15: $i,SV9: $i,SV6: $i] :
( ( ! [SY201: $i,SY202: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV15 )
| ~ ( iext @ uri_rdf_first @ SV15 @ SV19 )
| ~ ( iext @ uri_rdf_rest @ SV15 @ SY201 )
| ~ ( iext @ uri_rdf_first @ SY201 @ SY202 )
| ~ ( iext @ uri_rdf_rest @ SY201 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
| ~ ( ~ ! [SY203: $i] :
( ~ ( icext @ SV3 @ SY203 )
| ( SY203 = SY202 )
| ( SY203 = SV9 )
| ( SY203 = SV19 ) )
| ~ ~ ( ~ ! [SY107: $i] :
( ( SY107 != SY202 )
| ( icext @ SV3 @ SY107 ) )
| ~ ~ ( ~ ! [SY179: $i] :
( ( SY179 != SV9 )
| ( icext @ SV3 @ SY179 ) )
| ~ ! [SY206: $i] :
( ( SY206 != SV19 )
| ( icext @ SV3 @ SY206 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[164]) ).
thf(181,plain,
! [SV3: $i,SV19: $i,SV15: $i,SV9: $i,SV6: $i] :
( ( ! [SY207: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV15 )
| ~ ( iext @ uri_rdf_first @ SV15 @ SV19 )
| ~ ( iext @ uri_rdf_rest @ SV15 @ SY207 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY207 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY207 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
| ( ic @ SV3 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[165]) ).
thf(182,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c2 @ sK3_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY44 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY44 @ sK4_SY51 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY51 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY51 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c3 @ sK5_SY57 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY57 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY57 @ sK6_SY62 ) )
| ~ ( iext @ uri_rdf_first @ sK6_SY62 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK6_SY62 @ sK7_SY66 ) )
| ~ ( iext @ uri_rdf_first @ sK7_SY66 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK7_SY66 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ uri_ex_c4 @ sK8_SY69 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[166]) ).
thf(183,plain,
( ( ~ ( iext @ uri_rdf_first @ sK8_SY69 @ uri_ex_c1 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[166]) ).
thf(184,plain,
! [SV1: $i,SV25: $i,SV22: $i,SV7: $i,SV4: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV4 @ SV7 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV4 @ SV22 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV22 @ SV25 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV22 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
!= SV7 ) )
| ~ ( ~ ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
!= SV25 ) ) )
| ~ ( ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
= SV7 )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
= SV25 ) ) )
| ~ ( ic @ SV1 )
| ( iext @ uri_owl_oneOf @ SV1 @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[167]) ).
thf(185,plain,
! [SV1: $i,SV34: $i,SV29: $i,SV7: $i,SV4: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV4 @ SV7 )
| ~ ( iext @ uri_rdf_rest @ SV4 @ SV29 )
| ~ ( iext @ uri_rdf_first @ SV29 @ SV34 )
| ~ ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
| ~ ( ~ ! [SY227: $i] :
( ~ ( icext @ SV1 @ SY227 )
| ( SY227 = SV7 )
| ( SY227 = SV34 ) )
| ~ ~ ( ~ ! [SY154: $i] :
( ( SY154 != SV7 )
| ( icext @ SV1 @ SY154 ) )
| ~ ! [SY229: $i] :
( ( SY229 != SV34 )
| ( icext @ SV1 @ SY229 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[168]) ).
thf(186,plain,
! [SV1: $i,SV35: $i,SV7: $i,SV4: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV4 @ SV7 )
| ~ ( iext @ uri_rdf_rest @ SV4 @ SV35 )
| ! [SY230: $i] :
~ ( iext @ uri_rdf_first @ SV35 @ SY230 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV35 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
| ( ic @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[169]) ).
thf(187,plain,
! [SV2: $i,SV26: $i,SV23: $i,SV8: $i,SV5: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV5 @ SV23 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV23 @ SV26 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ~ ( icext @ SV8 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) ) )
| ~ ( ~ ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ~ ( icext @ SV26 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) ) ) )
| ~ ( ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ( icext @ SV8 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ( icext @ SV26 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) ) ) )
| ~ ( ic @ SV2 )
| ~ ( ic @ SV8 )
| ~ ( ic @ SV26 )
| ( iext @ uri_owl_unionOf @ SV2 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[170]) ).
thf(188,plain,
! [SV2: $i,SV36: $i,SV30: $i,SV8: $i,SV5: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SV30 )
| ~ ( iext @ uri_rdf_first @ SV30 @ SV36 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ~ ( ~ ! [SY231: $i] :
( ~ ( icext @ SV2 @ SY231 )
| ( icext @ SV8 @ SY231 )
| ( icext @ SV36 @ SY231 ) )
| ~ ~ ( ~ ! [SY163: $i] :
( ~ ( icext @ SV8 @ SY163 )
| ( icext @ SV2 @ SY163 ) )
| ~ ! [SY233: $i] :
( ~ ( icext @ SV36 @ SY233 )
| ( icext @ SV2 @ SY233 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[171]) ).
thf(189,plain,
! [SV2: $i,SV8: $i,SV5: $i] :
( ( ~ ( ~ ( ! [SY165: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY165 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY165 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY165 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV2 ) )
| ~ ( ! [SY167: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY167 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY167 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY167 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV8 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[172]) ).
thf(190,plain,
! [SV2: $i,SV8: $i,SV5: $i] :
( ( ! [SY169: $i,SY170: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY169 )
| ~ ( iext @ uri_rdf_first @ SY169 @ SY170 )
| ~ ( iext @ uri_rdf_rest @ SY169 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SY170 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[173]) ).
thf(191,plain,
! [SV17: $i,SV12: $i] :
( ( ( icext @ SV12 @ ( sK10_X @ SV17 @ SV12 ) )
= $false )
| ( ( ~ ( icext @ SV17 @ ( sK10_X @ SV17 @ SV12 ) ) )
= $true )
| ( ( ~ ( ic @ SV12 )
| ~ ( ic @ SV17 ) )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV12 @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(192,plain,
! [SV17: $i,SV12: $i] :
( ( ( ~ ( ic @ SV12 ) )
= $true )
| ( ( ~ ( ic @ SV17 ) )
= $true )
| ( ( icext @ SV17 @ ( sK10_X @ SV17 @ SV12 ) )
= $true )
| ( ( icext @ SV12 @ ( sK10_X @ SV17 @ SV12 ) )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV12 @ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[175]) ).
thf(193,plain,
! [SV27: $i,SV24: $i] :
( ( ( ~ ! [SY214: $i] :
( ~ ( icext @ SV24 @ SY214 )
| ( icext @ SV27 @ SY214 ) ) )
= $false )
| ( ( iext @ uri_owl_equivalentClass @ SV24 @ SV27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[176]) ).
thf(194,plain,
! [SV24: $i,SV27: $i] :
( ( ( ~ ! [SY215: $i] :
( ~ ( icext @ SV27 @ SY215 )
| ( icext @ SV24 @ SY215 ) ) )
= $false )
| ( ( iext @ uri_owl_equivalentClass @ SV24 @ SV27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[176]) ).
thf(195,plain,
! [SV38: $i,SV31: $i] :
( ( ( ~ ( iext @ uri_owl_equivalentClass @ SV31 @ SV38 ) )
= $true )
| ( ( ic @ SV31 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[177]) ).
thf(196,plain,
! [SV37: $i,SV32: $i] :
( ( ( ~ ( iext @ uri_owl_equivalentClass @ SV32 @ SV37 ) )
= $true )
| ( ( ic @ SV37 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[178]) ).
thf(197,plain,
! [SV3: $i,SV33: $i,SV28: $i,SV19: $i,SV15: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV15 )
| ~ ( iext @ uri_rdf_first @ SV15 @ SV19 )
| ~ ( iext @ uri_rdf_rest @ SV15 @ SV28 )
| ~ ( iext @ uri_rdf_first @ SV28 @ SV33 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV28 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV33 ) )
| ~ ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV9 ) )
| ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV19 ) ) ) )
| ~ ( ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV33 )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV9 )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV19 ) ) )
| ~ ( ic @ SV3 )
| ( iext @ uri_owl_oneOf @ SV3 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[179]) ).
thf(198,plain,
! [SV3: $i,SV39: $i,SV19: $i,SV15: $i,SV9: $i,SV6: $i] :
( ( ! [SY234: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV15 )
| ~ ( iext @ uri_rdf_first @ SV15 @ SV19 )
| ~ ( iext @ uri_rdf_rest @ SV15 @ SV39 )
| ~ ( iext @ uri_rdf_first @ SV39 @ SY234 )
| ~ ( iext @ uri_rdf_rest @ SV39 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
| ~ ( ~ ! [SY203: $i] :
( ~ ( icext @ SV3 @ SY203 )
| ( SY203 = SY234 )
| ( SY203 = SV9 )
| ( SY203 = SV19 ) )
| ~ ~ ( ~ ! [SY107: $i] :
( ( SY107 != SY234 )
| ( icext @ SV3 @ SY107 ) )
| ~ ~ ( ~ ! [SY179: $i] :
( ( SY179 != SV9 )
| ( icext @ SV3 @ SY179 ) )
| ~ ! [SY206: $i] :
( ( SY206 != SV19 )
| ( icext @ SV3 @ SY206 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[180]) ).
thf(199,plain,
! [SV3: $i,SV19: $i,SV15: $i,SV9: $i,SV6: $i] :
( ( ( ! [SY207: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV15 )
| ~ ( iext @ uri_rdf_first @ SV15 @ SV19 )
| ~ ( iext @ uri_rdf_rest @ SV15 @ SY207 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY207 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY207 @ uri_rdf_nil ) ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
| ( ic @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[181]) ).
thf(200,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c2 @ sK3_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY44 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY44 @ sK4_SY51 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY51 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY51 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c3 @ sK5_SY57 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY57 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY57 @ sK6_SY62 ) )
| ~ ( iext @ uri_rdf_first @ sK6_SY62 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK6_SY62 @ sK7_SY66 ) )
| ~ ( iext @ uri_rdf_first @ sK7_SY66 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK7_SY66 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ uri_ex_c4 @ sK8_SY69 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[182]) ).
thf(201,plain,
( ( iext @ uri_rdf_first @ sK8_SY69 @ uri_ex_c1 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[183]) ).
thf(202,plain,
! [SV1: $i,SV25: $i,SV22: $i,SV7: $i,SV4: $i] :
( ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV4 @ SV22 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV22 @ SV25 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV22 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
!= SV7 ) )
| ~ ( ~ ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
!= SV25 ) ) )
| ~ ( ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
= SV7 )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
= SV25 ) ) )
| ~ ( ic @ SV1 )
| ( iext @ uri_owl_oneOf @ SV1 @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(203,plain,
! [SV1: $i,SV34: $i,SV29: $i,SV7: $i,SV4: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV4 @ SV7 )
| ~ ( iext @ uri_rdf_rest @ SV4 @ SV29 )
| ~ ( iext @ uri_rdf_first @ SV29 @ SV34 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
| ~ ( ~ ! [SY227: $i] :
( ~ ( icext @ SV1 @ SY227 )
| ( SY227 = SV7 )
| ( SY227 = SV34 ) )
| ~ ~ ( ~ ! [SY154: $i] :
( ( SY154 != SV7 )
| ( icext @ SV1 @ SY154 ) )
| ~ ! [SY229: $i] :
( ( SY229 != SV34 )
| ( icext @ SV1 @ SY229 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[185]) ).
thf(204,plain,
! [SV1: $i,SV35: $i,SV7: $i,SV4: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV4 @ SV7 )
| ~ ( iext @ uri_rdf_rest @ SV4 @ SV35 ) )
= $true )
| ( ( ! [SY230: $i] :
~ ( iext @ uri_rdf_first @ SV35 @ SY230 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV35 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
| ( ic @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[186]) ).
thf(205,plain,
! [SV2: $i,SV26: $i,SV23: $i,SV8: $i,SV5: $i] :
( ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV5 @ SV23 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV23 @ SV26 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ~ ( icext @ SV8 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) ) )
| ~ ( ~ ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ~ ( icext @ SV26 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) ) ) )
| ~ ( ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ( icext @ SV8 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ( icext @ SV26 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) ) ) )
| ~ ( ic @ SV2 )
| ~ ( ic @ SV8 )
| ~ ( ic @ SV26 )
| ( iext @ uri_owl_unionOf @ SV2 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(206,plain,
! [SV2: $i,SV36: $i,SV30: $i,SV8: $i,SV5: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SV30 )
| ~ ( iext @ uri_rdf_first @ SV30 @ SV36 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ~ ( ~ ! [SY231: $i] :
( ~ ( icext @ SV2 @ SY231 )
| ( icext @ SV8 @ SY231 )
| ( icext @ SV36 @ SY231 ) )
| ~ ~ ( ~ ! [SY163: $i] :
( ~ ( icext @ SV8 @ SY163 )
| ( icext @ SV2 @ SY163 ) )
| ~ ! [SY233: $i] :
( ~ ( icext @ SV36 @ SY233 )
| ( icext @ SV2 @ SY233 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[188]) ).
thf(207,plain,
! [SV2: $i,SV8: $i,SV5: $i] :
( ( ~ ( ! [SY165: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY165 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY165 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY165 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV2 ) )
| ~ ( ! [SY167: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY167 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY167 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY167 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV8 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(208,plain,
! [SV2: $i,SV40: $i,SV8: $i,SV5: $i] :
( ( ! [SY239: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SV40 )
| ~ ( iext @ uri_rdf_first @ SV40 @ SY239 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SY239 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[190]) ).
thf(209,plain,
! [SV12: $i,SV17: $i] :
( ( ( icext @ SV17 @ ( sK10_X @ SV17 @ SV12 ) )
= $false )
| ( ( icext @ SV12 @ ( sK10_X @ SV17 @ SV12 ) )
= $false )
| ( ( ~ ( ic @ SV12 )
| ~ ( ic @ SV17 ) )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV12 @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(210,plain,
! [SV17: $i,SV12: $i] :
( ( ( ic @ SV12 )
= $false )
| ( ( ~ ( ic @ SV17 ) )
= $true )
| ( ( icext @ SV17 @ ( sK10_X @ SV17 @ SV12 ) )
= $true )
| ( ( icext @ SV12 @ ( sK10_X @ SV17 @ SV12 ) )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV12 @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(211,plain,
! [SV27: $i,SV24: $i] :
( ( ( ! [SY214: $i] :
( ~ ( icext @ SV24 @ SY214 )
| ( icext @ SV27 @ SY214 ) ) )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV24 @ SV27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[193]) ).
thf(212,plain,
! [SV24: $i,SV27: $i] :
( ( ( ! [SY215: $i] :
( ~ ( icext @ SV27 @ SY215 )
| ( icext @ SV24 @ SY215 ) ) )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV24 @ SV27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[194]) ).
thf(213,plain,
! [SV38: $i,SV31: $i] :
( ( ( iext @ uri_owl_equivalentClass @ SV31 @ SV38 )
= $false )
| ( ( ic @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(214,plain,
! [SV37: $i,SV32: $i] :
( ( ( iext @ uri_owl_equivalentClass @ SV32 @ SV37 )
= $false )
| ( ( ic @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(215,plain,
! [SV3: $i,SV33: $i,SV28: $i,SV19: $i,SV15: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV15 )
| ~ ( iext @ uri_rdf_first @ SV15 @ SV19 )
| ~ ( iext @ uri_rdf_rest @ SV15 @ SV28 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV28 @ SV33 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV28 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV33 ) )
| ~ ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV9 ) )
| ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV19 ) ) ) )
| ~ ( ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV33 )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV9 )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV19 ) ) )
| ~ ( ic @ SV3 )
| ( iext @ uri_owl_oneOf @ SV3 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[197]) ).
thf(216,plain,
! [SV3: $i,SV41: $i,SV39: $i,SV19: $i,SV15: $i,SV9: $i,SV6: $i] :
( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV15 )
| ~ ( iext @ uri_rdf_first @ SV15 @ SV19 )
| ~ ( iext @ uri_rdf_rest @ SV15 @ SV39 )
| ~ ( iext @ uri_rdf_first @ SV39 @ SV41 )
| ~ ( iext @ uri_rdf_rest @ SV39 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
| ~ ( ~ ! [SY240: $i] :
( ~ ( icext @ SV3 @ SY240 )
| ( SY240 = SV41 )
| ( SY240 = SV9 )
| ( SY240 = SV19 ) )
| ~ ~ ( ~ ! [SY241: $i] :
( ( SY241 != SV41 )
| ( icext @ SV3 @ SY241 ) )
| ~ ~ ( ~ ! [SY179: $i] :
( ( SY179 != SV9 )
| ( icext @ SV3 @ SY179 ) )
| ~ ! [SY206: $i] :
( ( SY206 != SV19 )
| ( icext @ SV3 @ SY206 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[198]) ).
thf(217,plain,
! [SV3: $i,SV42: $i,SV19: $i,SV15: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV15 )
| ~ ( iext @ uri_rdf_first @ SV15 @ SV19 )
| ~ ( iext @ uri_rdf_rest @ SV15 @ SV42 )
| ! [SY244: $i] :
~ ( iext @ uri_rdf_first @ SV42 @ SY244 )
| ~ ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
| ( ic @ SV3 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[199]) ).
thf(218,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c2 @ sK3_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY44 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY44 @ sK4_SY51 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY51 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY51 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c3 @ sK5_SY57 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY57 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY57 @ sK6_SY62 ) )
| ~ ( iext @ uri_rdf_first @ sK6_SY62 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK6_SY62 @ sK7_SY66 ) )
| ~ ( iext @ uri_rdf_first @ sK7_SY66 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK7_SY66 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ uri_ex_c4 @ sK8_SY69 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(219,plain,
! [SV1: $i,SV25: $i,SV7: $i,SV22: $i,SV4: $i] :
( ( ( iext @ uri_rdf_rest @ SV4 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV22 @ SV25 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV22 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
!= SV7 ) )
| ~ ( ~ ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
!= SV25 ) ) )
| ~ ( ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
= SV7 )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
= SV25 ) ) )
| ~ ( ic @ SV1 )
| ( iext @ uri_owl_oneOf @ SV1 @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(220,plain,
! [SV1: $i,SV34: $i,SV29: $i,SV7: $i,SV4: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV4 @ SV7 )
| ~ ( iext @ uri_rdf_rest @ SV4 @ SV29 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV29 @ SV34 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
| ~ ( ~ ! [SY227: $i] :
( ~ ( icext @ SV1 @ SY227 )
| ( SY227 = SV7 )
| ( SY227 = SV34 ) )
| ~ ~ ( ~ ! [SY154: $i] :
( ( SY154 != SV7 )
| ( icext @ SV1 @ SY154 ) )
| ~ ! [SY229: $i] :
( ( SY229 != SV34 )
| ( icext @ SV1 @ SY229 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[203]) ).
thf(221,plain,
! [SV1: $i,SV35: $i,SV7: $i,SV4: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV4 @ SV7 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV4 @ SV35 ) )
= $true )
| ( ( ! [SY230: $i] :
~ ( iext @ uri_rdf_first @ SV35 @ SY230 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV35 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
| ( ic @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[204]) ).
thf(222,plain,
! [SV2: $i,SV26: $i,SV8: $i,SV23: $i,SV5: $i] :
( ( ( iext @ uri_rdf_rest @ SV5 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV23 @ SV26 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ~ ( icext @ SV8 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) ) )
| ~ ( ~ ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ~ ( icext @ SV26 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) ) ) )
| ~ ( ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ( icext @ SV8 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ( icext @ SV26 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) ) ) )
| ~ ( ic @ SV2 )
| ~ ( ic @ SV8 )
| ~ ( ic @ SV26 )
| ( iext @ uri_owl_unionOf @ SV2 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(223,plain,
! [SV2: $i,SV36: $i,SV30: $i,SV8: $i,SV5: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SV30 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV30 @ SV36 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ~ ( ~ ! [SY231: $i] :
( ~ ( icext @ SV2 @ SY231 )
| ( icext @ SV8 @ SY231 )
| ( icext @ SV36 @ SY231 ) )
| ~ ~ ( ~ ! [SY163: $i] :
( ~ ( icext @ SV8 @ SY163 )
| ( icext @ SV2 @ SY163 ) )
| ~ ! [SY233: $i] :
( ~ ( icext @ SV36 @ SY233 )
| ( icext @ SV2 @ SY233 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[206]) ).
thf(224,plain,
! [SV2: $i,SV8: $i,SV5: $i] :
( ( ~ ( ! [SY165: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY165 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY165 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY165 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV2 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[207]) ).
thf(225,plain,
! [SV2: $i,SV8: $i,SV5: $i] :
( ( ~ ( ! [SY167: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY167 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY167 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY167 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV8 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[207]) ).
thf(226,plain,
! [SV2: $i,SV43: $i,SV40: $i,SV8: $i,SV5: $i] :
( ( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SV40 )
| ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV43 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[208]) ).
thf(227,plain,
! [SV17: $i,SV12: $i] :
( ( ( ~ ( ic @ SV12 ) )
= $true )
| ( ( ~ ( ic @ SV17 ) )
= $true )
| ( ( icext @ SV12 @ ( sK10_X @ SV17 @ SV12 ) )
= $false )
| ( ( icext @ SV17 @ ( sK10_X @ SV17 @ SV12 ) )
= $false )
| ( ( iext @ uri_owl_equivalentClass @ SV12 @ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[209]) ).
thf(228,plain,
! [SV12: $i,SV17: $i] :
( ( ( ic @ SV17 )
= $false )
| ( ( ic @ SV12 )
= $false )
| ( ( icext @ SV17 @ ( sK10_X @ SV17 @ SV12 ) )
= $true )
| ( ( icext @ SV12 @ ( sK10_X @ SV17 @ SV12 ) )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV12 @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[210]) ).
thf(229,plain,
! [SV27: $i,SV44: $i,SV24: $i] :
( ( ( ~ ( icext @ SV24 @ SV44 )
| ( icext @ SV27 @ SV44 ) )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV24 @ SV27 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[211]) ).
thf(230,plain,
! [SV24: $i,SV45: $i,SV27: $i] :
( ( ( ~ ( icext @ SV27 @ SV45 )
| ( icext @ SV24 @ SV45 ) )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV24 @ SV27 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(231,plain,
! [SV3: $i,SV33: $i,SV28: $i,SV19: $i,SV15: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV15 )
| ~ ( iext @ uri_rdf_first @ SV15 @ SV19 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV15 @ SV28 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV28 @ SV33 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV28 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV33 ) )
| ~ ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV9 ) )
| ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV19 ) ) ) )
| ~ ( ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV33 )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV9 )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV19 ) ) )
| ~ ( ic @ SV3 )
| ( iext @ uri_owl_oneOf @ SV3 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[215]) ).
thf(232,plain,
! [SV3: $i,SV41: $i,SV39: $i,SV19: $i,SV15: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV15 )
| ~ ( iext @ uri_rdf_first @ SV15 @ SV19 )
| ~ ( iext @ uri_rdf_rest @ SV15 @ SV39 )
| ~ ( iext @ uri_rdf_first @ SV39 @ SV41 )
| ~ ( iext @ uri_rdf_rest @ SV39 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
| ~ ( ~ ! [SY240: $i] :
( ~ ( icext @ SV3 @ SY240 )
| ( SY240 = SV41 )
| ( SY240 = SV9 )
| ( SY240 = SV19 ) )
| ~ ~ ( ~ ! [SY241: $i] :
( ( SY241 != SV41 )
| ( icext @ SV3 @ SY241 ) )
| ~ ~ ( ~ ! [SY179: $i] :
( ( SY179 != SV9 )
| ( icext @ SV3 @ SY179 ) )
| ~ ! [SY206: $i] :
( ( SY206 != SV19 )
| ( icext @ SV3 @ SY206 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[216]) ).
thf(233,plain,
! [SV3: $i,SV42: $i,SV19: $i,SV15: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV15 )
| ~ ( iext @ uri_rdf_first @ SV15 @ SV19 )
| ~ ( iext @ uri_rdf_rest @ SV15 @ SV42 )
| ! [SY244: $i] :
~ ( iext @ uri_rdf_first @ SV42 @ SY244 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
| ( ic @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[217]) ).
thf(234,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c2 @ sK3_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY44 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY44 @ sK4_SY51 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY51 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY51 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c3 @ sK5_SY57 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY57 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY57 @ sK6_SY62 ) )
| ~ ( iext @ uri_rdf_first @ sK6_SY62 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK6_SY62 @ sK7_SY66 ) )
| ~ ( iext @ uri_rdf_first @ sK7_SY66 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK7_SY66 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[218]) ).
thf(235,plain,
( ( ~ ( iext @ uri_owl_unionOf @ uri_ex_c4 @ sK8_SY69 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[218]) ).
thf(236,plain,
! [SV1: $i,SV7: $i,SV4: $i,SV25: $i,SV22: $i] :
( ( ( iext @ uri_rdf_first @ SV22 @ SV25 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV22 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV22 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
!= SV7 ) )
| ~ ( ~ ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
!= SV25 ) ) )
| ~ ( ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
= SV7 )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
= SV25 ) ) )
| ~ ( ic @ SV1 )
| ( iext @ uri_owl_oneOf @ SV1 @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[219]) ).
thf(237,plain,
! [SV1: $i,SV34: $i,SV29: $i,SV7: $i,SV4: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV4 @ SV7 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV4 @ SV29 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV29 @ SV34 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
| ~ ( ~ ! [SY227: $i] :
( ~ ( icext @ SV1 @ SY227 )
| ( SY227 = SV7 )
| ( SY227 = SV34 ) )
| ~ ~ ( ~ ! [SY154: $i] :
( ( SY154 != SV7 )
| ( icext @ SV1 @ SY154 ) )
| ~ ! [SY229: $i] :
( ( SY229 != SV34 )
| ( icext @ SV1 @ SY229 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[220]) ).
thf(238,plain,
! [SV1: $i,SV35: $i,SV7: $i,SV4: $i] :
( ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV4 @ SV35 ) )
= $true )
| ( ( ! [SY230: $i] :
~ ( iext @ uri_rdf_first @ SV35 @ SY230 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV35 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
| ( ic @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[221]) ).
thf(239,plain,
! [SV2: $i,SV8: $i,SV5: $i,SV26: $i,SV23: $i] :
( ( ( iext @ uri_rdf_first @ SV23 @ SV26 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV23 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ~ ( icext @ SV8 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) ) )
| ~ ( ~ ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ~ ( icext @ SV26 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) ) ) )
| ~ ( ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ( icext @ SV8 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ( icext @ SV26 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) ) ) )
| ~ ( ic @ SV2 )
| ~ ( ic @ SV8 )
| ~ ( ic @ SV26 )
| ( iext @ uri_owl_unionOf @ SV2 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[222]) ).
thf(240,plain,
! [SV2: $i,SV36: $i,SV30: $i,SV8: $i,SV5: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV5 @ SV30 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV30 @ SV36 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ~ ( ~ ! [SY231: $i] :
( ~ ( icext @ SV2 @ SY231 )
| ( icext @ SV8 @ SY231 )
| ( icext @ SV36 @ SY231 ) )
| ~ ~ ( ~ ! [SY163: $i] :
( ~ ( icext @ SV8 @ SY163 )
| ( icext @ SV2 @ SY163 ) )
| ~ ! [SY233: $i] :
( ~ ( icext @ SV36 @ SY233 )
| ( icext @ SV2 @ SY233 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[223]) ).
thf(241,plain,
! [SV2: $i,SV8: $i,SV5: $i] :
( ( ! [SY165: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY165 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY165 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY165 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV2 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[224]) ).
thf(242,plain,
! [SV2: $i,SV8: $i,SV5: $i] :
( ( ! [SY167: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY167 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY167 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY167 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV8 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[225]) ).
thf(243,plain,
! [SV2: $i,SV43: $i,SV40: $i,SV8: $i,SV5: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SV40 )
| ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV43 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[226]) ).
thf(244,plain,
! [SV17: $i,SV12: $i] :
( ( ( ic @ SV12 )
= $false )
| ( ( ~ ( ic @ SV17 ) )
= $true )
| ( ( icext @ SV12 @ ( sK10_X @ SV17 @ SV12 ) )
= $false )
| ( ( icext @ SV17 @ ( sK10_X @ SV17 @ SV12 ) )
= $false )
| ( ( iext @ uri_owl_equivalentClass @ SV12 @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(245,plain,
! [SV27: $i,SV44: $i,SV24: $i] :
( ( ( ~ ( icext @ SV24 @ SV44 ) )
= $true )
| ( ( icext @ SV27 @ SV44 )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV24 @ SV27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[229]) ).
thf(246,plain,
! [SV24: $i,SV45: $i,SV27: $i] :
( ( ( ~ ( icext @ SV27 @ SV45 ) )
= $true )
| ( ( icext @ SV24 @ SV45 )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV24 @ SV27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[230]) ).
thf(247,plain,
! [SV3: $i,SV33: $i,SV28: $i,SV19: $i,SV15: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV15 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV15 @ SV19 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV15 @ SV28 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV28 @ SV33 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV28 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV33 ) )
| ~ ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV9 ) )
| ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV19 ) ) ) )
| ~ ( ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV33 )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV9 )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV19 ) ) )
| ~ ( ic @ SV3 )
| ( iext @ uri_owl_oneOf @ SV3 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[231]) ).
thf(248,plain,
! [SV3: $i,SV41: $i,SV39: $i,SV19: $i,SV15: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV15 )
| ~ ( iext @ uri_rdf_first @ SV15 @ SV19 )
| ~ ( iext @ uri_rdf_rest @ SV15 @ SV39 )
| ~ ( iext @ uri_rdf_first @ SV39 @ SV41 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV39 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
| ~ ( ~ ! [SY240: $i] :
( ~ ( icext @ SV3 @ SY240 )
| ( SY240 = SV41 )
| ( SY240 = SV9 )
| ( SY240 = SV19 ) )
| ~ ~ ( ~ ! [SY241: $i] :
( ( SY241 != SV41 )
| ( icext @ SV3 @ SY241 ) )
| ~ ~ ( ~ ! [SY179: $i] :
( ( SY179 != SV9 )
| ( icext @ SV3 @ SY179 ) )
| ~ ! [SY206: $i] :
( ( SY206 != SV19 )
| ( icext @ SV3 @ SY206 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[232]) ).
thf(249,plain,
! [SV3: $i,SV42: $i,SV19: $i,SV15: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV15 )
| ~ ( iext @ uri_rdf_first @ SV15 @ SV19 )
| ~ ( iext @ uri_rdf_rest @ SV15 @ SV42 ) )
= $true )
| ( ( ! [SY244: $i] :
~ ( iext @ uri_rdf_first @ SV42 @ SY244 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
| ( ic @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[233]) ).
thf(250,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c2 @ sK3_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY44 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY44 @ sK4_SY51 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY51 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY51 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c3 @ sK5_SY57 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY57 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY57 @ sK6_SY62 ) )
| ~ ( iext @ uri_rdf_first @ sK6_SY62 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK6_SY62 @ sK7_SY66 ) )
| ~ ( iext @ uri_rdf_first @ sK7_SY66 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK7_SY66 @ uri_rdf_nil ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[234]) ).
thf(251,plain,
( ( iext @ uri_owl_unionOf @ uri_ex_c4 @ sK8_SY69 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[235]) ).
thf(252,plain,
! [SV1: $i,SV25: $i,SV7: $i,SV4: $i,SV22: $i] :
( ( ( iext @ uri_rdf_rest @ SV22 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV22 @ SV25 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
!= SV7 ) )
| ~ ( ~ ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
!= SV25 ) ) )
| ~ ( ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
= SV7 )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
= SV25 ) ) )
| ~ ( ic @ SV1 )
| ( iext @ uri_owl_oneOf @ SV1 @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[236]) ).
thf(253,plain,
! [SV1: $i,SV34: $i,SV29: $i,SV7: $i,SV4: $i] :
( ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV4 @ SV29 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV29 @ SV34 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
| ~ ( ~ ! [SY227: $i] :
( ~ ( icext @ SV1 @ SY227 )
| ( SY227 = SV7 )
| ( SY227 = SV34 ) )
| ~ ~ ( ~ ! [SY154: $i] :
( ( SY154 != SV7 )
| ( icext @ SV1 @ SY154 ) )
| ~ ! [SY229: $i] :
( ( SY229 != SV34 )
| ( icext @ SV1 @ SY229 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(254,plain,
! [SV1: $i,SV7: $i,SV35: $i,SV4: $i] :
( ( ( iext @ uri_rdf_rest @ SV4 @ SV35 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( ! [SY230: $i] :
~ ( iext @ uri_rdf_first @ SV35 @ SY230 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV35 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
| ( ic @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(255,plain,
! [SV2: $i,SV26: $i,SV8: $i,SV5: $i,SV23: $i] :
( ( ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_first @ SV23 @ SV26 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ~ ( icext @ SV8 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) ) )
| ~ ( ~ ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ~ ( icext @ SV26 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) ) ) )
| ~ ( ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ( icext @ SV8 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ( icext @ SV26 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) ) ) )
| ~ ( ic @ SV2 )
| ~ ( ic @ SV8 )
| ~ ( ic @ SV26 )
| ( iext @ uri_owl_unionOf @ SV2 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(256,plain,
! [SV2: $i,SV36: $i,SV30: $i,SV8: $i,SV5: $i] :
( ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV5 @ SV30 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV30 @ SV36 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ~ ( ~ ! [SY231: $i] :
( ~ ( icext @ SV2 @ SY231 )
| ( icext @ SV8 @ SY231 )
| ( icext @ SV36 @ SY231 ) )
| ~ ~ ( ~ ! [SY163: $i] :
( ~ ( icext @ SV8 @ SY163 )
| ( icext @ SV2 @ SY163 ) )
| ~ ! [SY233: $i] :
( ~ ( icext @ SV36 @ SY233 )
| ( icext @ SV2 @ SY233 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(257,plain,
! [SV2: $i,SV8: $i,SV5: $i] :
( ( ( ! [SY165: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY165 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY165 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY165 @ uri_rdf_nil ) ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[241]) ).
thf(258,plain,
! [SV2: $i,SV8: $i,SV5: $i] :
( ( ( ! [SY167: $i] :
( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY167 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY167 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY167 @ uri_rdf_nil ) ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[242]) ).
thf(259,plain,
! [SV2: $i,SV43: $i,SV40: $i,SV8: $i,SV5: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SV40 )
| ~ ( iext @ uri_rdf_first @ SV40 @ SV43 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV43 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[243]) ).
thf(260,plain,
! [SV12: $i,SV17: $i] :
( ( ( ic @ SV17 )
= $false )
| ( ( ic @ SV12 )
= $false )
| ( ( icext @ SV12 @ ( sK10_X @ SV17 @ SV12 ) )
= $false )
| ( ( icext @ SV17 @ ( sK10_X @ SV17 @ SV12 ) )
= $false )
| ( ( iext @ uri_owl_equivalentClass @ SV12 @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[244]) ).
thf(261,plain,
! [SV27: $i,SV44: $i,SV24: $i] :
( ( ( icext @ SV24 @ SV44 )
= $false )
| ( ( icext @ SV27 @ SV44 )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV24 @ SV27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[245]) ).
thf(262,plain,
! [SV24: $i,SV45: $i,SV27: $i] :
( ( ( icext @ SV27 @ SV45 )
= $false )
| ( ( icext @ SV24 @ SV45 )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV24 @ SV27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[246]) ).
thf(263,plain,
! [SV3: $i,SV33: $i,SV28: $i,SV19: $i,SV15: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV6 @ SV15 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV15 @ SV19 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV15 @ SV28 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV28 @ SV33 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV28 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV33 ) )
| ~ ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV9 ) )
| ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV19 ) ) ) )
| ~ ( ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV33 )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV9 )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV19 ) ) )
| ~ ( ic @ SV3 )
| ( iext @ uri_owl_oneOf @ SV3 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[247]) ).
thf(264,plain,
! [SV3: $i,SV41: $i,SV39: $i,SV19: $i,SV15: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV15 )
| ~ ( iext @ uri_rdf_first @ SV15 @ SV19 )
| ~ ( iext @ uri_rdf_rest @ SV15 @ SV39 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV39 @ SV41 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV39 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
| ~ ( ~ ! [SY240: $i] :
( ~ ( icext @ SV3 @ SY240 )
| ( SY240 = SV41 )
| ( SY240 = SV9 )
| ( SY240 = SV19 ) )
| ~ ~ ( ~ ! [SY241: $i] :
( ( SY241 != SV41 )
| ( icext @ SV3 @ SY241 ) )
| ~ ~ ( ~ ! [SY179: $i] :
( ( SY179 != SV9 )
| ( icext @ SV3 @ SY179 ) )
| ~ ! [SY206: $i] :
( ( SY206 != SV19 )
| ( icext @ SV3 @ SY206 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[248]) ).
thf(265,plain,
! [SV3: $i,SV42: $i,SV19: $i,SV15: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV15 )
| ~ ( iext @ uri_rdf_first @ SV15 @ SV19 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV15 @ SV42 ) )
= $true )
| ( ( ! [SY244: $i] :
~ ( iext @ uri_rdf_first @ SV42 @ SY244 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
| ( ic @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[249]) ).
thf(266,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c2 @ sK3_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY44 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY44 @ sK4_SY51 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY51 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY51 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c3 @ sK5_SY57 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY57 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY57 @ sK6_SY62 ) )
| ~ ( iext @ uri_rdf_first @ sK6_SY62 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK6_SY62 @ sK7_SY66 ) )
| ~ ( iext @ uri_rdf_first @ sK7_SY66 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK7_SY66 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[250]) ).
thf(267,plain,
! [SV4: $i,SV7: $i,SV22: $i,SV25: $i,SV1: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ~ ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
!= SV7 ) )
| ~ ( ~ ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
!= SV25 ) ) )
| ~ ( ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
= SV7 )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
= SV25 ) ) )
| ~ ( ic @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
= $true )
| ( ( iext @ uri_rdf_first @ SV22 @ SV25 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV22 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[252]) ).
thf(268,plain,
! [SV1: $i,SV34: $i,SV7: $i,SV29: $i,SV4: $i] :
( ( ( iext @ uri_rdf_rest @ SV4 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV29 @ SV34 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
| ~ ( ~ ! [SY227: $i] :
( ~ ( icext @ SV1 @ SY227 )
| ( SY227 = SV7 )
| ( SY227 = SV34 ) )
| ~ ~ ( ~ ! [SY154: $i] :
( ( SY154 != SV7 )
| ( icext @ SV1 @ SY154 ) )
| ~ ! [SY229: $i] :
( ( SY229 != SV34 )
| ( icext @ SV1 @ SY229 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[253]) ).
thf(269,plain,
! [SV1: $i,SV7: $i,SV4: $i,SV46: $i,SV35: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV35 @ SV46 ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV35 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV35 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
| ( ic @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[254]) ).
thf(270,plain,
! [SV5: $i,SV8: $i,SV23: $i,SV26: $i,SV2: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ~ ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ~ ( icext @ SV8 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) ) )
| ~ ( ~ ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ~ ( icext @ SV26 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) ) ) )
| ~ ( ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ( icext @ SV8 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ( icext @ SV26 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) ) ) )
| ~ ( ic @ SV2 )
| ~ ( ic @ SV8 )
| ~ ( ic @ SV26 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV23 @ SV26 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[255]) ).
thf(271,plain,
! [SV2: $i,SV36: $i,SV8: $i,SV30: $i,SV5: $i] :
( ( ( iext @ uri_rdf_rest @ SV5 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV30 @ SV36 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ~ ( ~ ! [SY231: $i] :
( ~ ( icext @ SV2 @ SY231 )
| ( icext @ SV8 @ SY231 )
| ( icext @ SV36 @ SY231 ) )
| ~ ~ ( ~ ! [SY163: $i] :
( ~ ( icext @ SV8 @ SY163 )
| ( icext @ SV2 @ SY163 ) )
| ~ ! [SY233: $i] :
( ~ ( icext @ SV36 @ SY233 )
| ( icext @ SV2 @ SY233 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(272,plain,
! [SV2: $i,SV47: $i,SV8: $i,SV5: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SV47 )
| ! [SY245: $i] :
~ ( iext @ uri_rdf_first @ SV47 @ SY245 )
| ~ ( iext @ uri_rdf_rest @ SV47 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV2 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[257]) ).
thf(273,plain,
! [SV2: $i,SV48: $i,SV8: $i,SV5: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SV48 )
| ! [SY246: $i] :
~ ( iext @ uri_rdf_first @ SV48 @ SY246 )
| ~ ( iext @ uri_rdf_rest @ SV48 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV8 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[258]) ).
thf(274,plain,
! [SV2: $i,SV43: $i,SV40: $i,SV8: $i,SV5: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SV40 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV43 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[259]) ).
thf(275,plain,
! [SV3: $i,SV33: $i,SV28: $i,SV19: $i,SV15: $i,SV9: $i,SV6: $i] :
( ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV6 @ SV15 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV15 @ SV19 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV15 @ SV28 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV28 @ SV33 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV28 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV33 ) )
| ~ ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV9 ) )
| ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV19 ) ) ) )
| ~ ( ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV33 )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV9 )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV19 ) ) )
| ~ ( ic @ SV3 )
| ( iext @ uri_owl_oneOf @ SV3 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(276,plain,
! [SV3: $i,SV41: $i,SV39: $i,SV19: $i,SV15: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV15 )
| ~ ( iext @ uri_rdf_first @ SV15 @ SV19 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV15 @ SV39 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV39 @ SV41 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV39 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
| ~ ( ~ ! [SY240: $i] :
( ~ ( icext @ SV3 @ SY240 )
| ( SY240 = SV41 )
| ( SY240 = SV9 )
| ( SY240 = SV19 ) )
| ~ ~ ( ~ ! [SY241: $i] :
( ( SY241 != SV41 )
| ( icext @ SV3 @ SY241 ) )
| ~ ~ ( ~ ! [SY179: $i] :
( ( SY179 != SV9 )
| ( icext @ SV3 @ SY179 ) )
| ~ ! [SY206: $i] :
( ( SY206 != SV19 )
| ( icext @ SV3 @ SY206 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[264]) ).
thf(277,plain,
! [SV3: $i,SV42: $i,SV19: $i,SV15: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV15 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV15 @ SV19 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV15 @ SV42 ) )
= $true )
| ( ( ! [SY244: $i] :
~ ( iext @ uri_rdf_first @ SV42 @ SY244 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
| ( ic @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[265]) ).
thf(278,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c2 @ sK3_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY44 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY44 @ sK4_SY51 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY51 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY51 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c3 @ sK5_SY57 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY57 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY57 @ sK6_SY62 ) )
| ~ ( iext @ uri_rdf_first @ sK6_SY62 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK6_SY62 @ sK7_SY66 ) )
| ~ ( iext @ uri_rdf_first @ sK7_SY66 @ uri_ex_w3 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[266]) ).
thf(279,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK7_SY66 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[266]) ).
thf(280,plain,
! [SV4: $i,SV7: $i,SV22: $i,SV25: $i,SV1: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ~ ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
!= SV7 ) )
| ~ ( ~ ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
!= SV25 ) ) )
| ~ ( ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
= SV7 )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
= SV25 ) ) ) )
= $true )
| ( ( ~ ( ic @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
= $true )
| ( ( iext @ uri_rdf_first @ SV22 @ SV25 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV22 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[267]) ).
thf(281,plain,
! [SV1: $i,SV7: $i,SV4: $i,SV34: $i,SV29: $i] :
( ( ( iext @ uri_rdf_first @ SV29 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV29 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
| ~ ( ~ ! [SY227: $i] :
( ~ ( icext @ SV1 @ SY227 )
| ( SY227 = SV7 )
| ( SY227 = SV34 ) )
| ~ ~ ( ~ ! [SY154: $i] :
( ( SY154 != SV7 )
| ( icext @ SV1 @ SY154 ) )
| ~ ! [SY229: $i] :
( ( SY229 != SV34 )
| ( icext @ SV1 @ SY229 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[268]) ).
thf(282,plain,
! [SV1: $i,SV7: $i,SV4: $i,SV46: $i,SV35: $i] :
( ( ( iext @ uri_rdf_first @ SV35 @ SV46 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV35 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV35 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
| ( ic @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[269]) ).
thf(283,plain,
! [SV5: $i,SV8: $i,SV23: $i,SV26: $i,SV2: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ~ ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ~ ( icext @ SV8 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) ) )
| ~ ( ~ ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ~ ( icext @ SV26 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) ) ) )
| ~ ( ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ( icext @ SV8 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ( icext @ SV26 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) ) ) ) )
= $true )
| ( ( ~ ( ic @ SV2 )
| ~ ( ic @ SV8 )
| ~ ( ic @ SV26 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV23 @ SV26 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[270]) ).
thf(284,plain,
! [SV2: $i,SV8: $i,SV5: $i,SV36: $i,SV30: $i] :
( ( ( iext @ uri_rdf_first @ SV30 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV30 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ~ ( ~ ! [SY231: $i] :
( ~ ( icext @ SV2 @ SY231 )
| ( icext @ SV8 @ SY231 )
| ( icext @ SV36 @ SY231 ) )
| ~ ~ ( ~ ! [SY163: $i] :
( ~ ( icext @ SV8 @ SY163 )
| ( icext @ SV2 @ SY163 ) )
| ~ ! [SY233: $i] :
( ~ ( icext @ SV36 @ SY233 )
| ( icext @ SV2 @ SY233 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[271]) ).
thf(285,plain,
! [SV2: $i,SV47: $i,SV8: $i,SV5: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SV47 )
| ! [SY245: $i] :
~ ( iext @ uri_rdf_first @ SV47 @ SY245 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV47 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[272]) ).
thf(286,plain,
! [SV2: $i,SV48: $i,SV8: $i,SV5: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SV48 )
| ! [SY246: $i] :
~ ( iext @ uri_rdf_first @ SV48 @ SY246 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV48 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[273]) ).
thf(287,plain,
! [SV2: $i,SV43: $i,SV40: $i,SV8: $i,SV5: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV5 @ SV40 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV43 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[274]) ).
thf(288,plain,
! [SV3: $i,SV33: $i,SV28: $i,SV19: $i,SV9: $i,SV15: $i,SV6: $i] :
( ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV15 @ SV19 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV15 @ SV28 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV28 @ SV33 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV28 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV33 ) )
| ~ ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV9 ) )
| ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV19 ) ) ) )
| ~ ( ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV33 )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV9 )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV19 ) ) )
| ~ ( ic @ SV3 )
| ( iext @ uri_owl_oneOf @ SV3 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[275]) ).
thf(289,plain,
! [SV3: $i,SV41: $i,SV39: $i,SV19: $i,SV15: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV15 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV15 @ SV19 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV15 @ SV39 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV39 @ SV41 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV39 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
| ~ ( ~ ! [SY240: $i] :
( ~ ( icext @ SV3 @ SY240 )
| ( SY240 = SV41 )
| ( SY240 = SV9 )
| ( SY240 = SV19 ) )
| ~ ~ ( ~ ! [SY241: $i] :
( ( SY241 != SV41 )
| ( icext @ SV3 @ SY241 ) )
| ~ ~ ( ~ ! [SY179: $i] :
( ( SY179 != SV9 )
| ( icext @ SV3 @ SY179 ) )
| ~ ! [SY206: $i] :
( ( SY206 != SV19 )
| ( icext @ SV3 @ SY206 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[276]) ).
thf(290,plain,
! [SV3: $i,SV42: $i,SV19: $i,SV15: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV6 @ SV15 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV15 @ SV19 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV15 @ SV42 ) )
= $true )
| ( ( ! [SY244: $i] :
~ ( iext @ uri_rdf_first @ SV42 @ SY244 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
| ( ic @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[277]) ).
thf(291,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c2 @ sK3_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY44 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY44 @ sK4_SY51 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY51 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY51 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c3 @ sK5_SY57 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY57 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY57 @ sK6_SY62 ) )
| ~ ( iext @ uri_rdf_first @ sK6_SY62 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK6_SY62 @ sK7_SY66 ) )
| ~ ( iext @ uri_rdf_first @ sK7_SY66 @ uri_ex_w3 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[278]) ).
thf(292,plain,
( ( iext @ uri_rdf_rest @ sK7_SY66 @ uri_rdf_nil )
= $true ),
inference(extcnf_not_neg,[status(thm)],[279]) ).
thf(293,plain,
! [SV4: $i,SV7: $i,SV22: $i,SV25: $i,SV1: $i] :
( ( ( ~ ~ ( ~ ( ~ ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
!= SV7 ) )
| ~ ( ~ ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
!= SV25 ) ) )
| ~ ( ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
= SV7 )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
= SV25 ) ) )
= $false )
| ( ( ~ ( ic @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
= $true )
| ( ( iext @ uri_rdf_first @ SV22 @ SV25 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV22 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[280]) ).
thf(294,plain,
! [SV1: $i,SV34: $i,SV7: $i,SV4: $i,SV29: $i] :
( ( ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV29 @ SV34 )
= $false )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
| ~ ( ~ ! [SY227: $i] :
( ~ ( icext @ SV1 @ SY227 )
| ( SY227 = SV7 )
| ( SY227 = SV34 ) )
| ~ ~ ( ~ ! [SY154: $i] :
( ( SY154 != SV7 )
| ( icext @ SV1 @ SY154 ) )
| ~ ! [SY229: $i] :
( ( SY229 != SV34 )
| ( icext @ SV1 @ SY229 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[281]) ).
thf(295,plain,
! [SV1: $i,SV46: $i,SV7: $i,SV4: $i,SV35: $i] :
( ( ( iext @ uri_rdf_rest @ SV35 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV35 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV35 @ SV46 )
= $false )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
| ( ic @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[282]) ).
thf(296,plain,
! [SV5: $i,SV8: $i,SV23: $i,SV26: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ( ~ ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ~ ( icext @ SV8 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) ) )
| ~ ( ~ ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ~ ( icext @ SV26 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) ) ) )
| ~ ( ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ( icext @ SV8 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ( icext @ SV26 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) ) ) )
= $false )
| ( ( ~ ( ic @ SV2 )
| ~ ( ic @ SV8 )
| ~ ( ic @ SV26 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV23 @ SV26 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[283]) ).
thf(297,plain,
! [SV2: $i,SV36: $i,SV8: $i,SV5: $i,SV30: $i] :
( ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV36 )
= $false )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ~ ( ~ ! [SY231: $i] :
( ~ ( icext @ SV2 @ SY231 )
| ( icext @ SV8 @ SY231 )
| ( icext @ SV36 @ SY231 ) )
| ~ ~ ( ~ ! [SY163: $i] :
( ~ ( icext @ SV8 @ SY163 )
| ( icext @ SV2 @ SY163 ) )
| ~ ! [SY233: $i] :
( ~ ( icext @ SV36 @ SY233 )
| ( icext @ SV2 @ SY233 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[284]) ).
thf(298,plain,
! [SV2: $i,SV47: $i,SV8: $i,SV5: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SV47 ) )
= $true )
| ( ( ! [SY245: $i] :
~ ( iext @ uri_rdf_first @ SV47 @ SY245 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV47 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[285]) ).
thf(299,plain,
! [SV2: $i,SV48: $i,SV8: $i,SV5: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SV48 ) )
= $true )
| ( ( ! [SY246: $i] :
~ ( iext @ uri_rdf_first @ SV48 @ SY246 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV48 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[286]) ).
thf(300,plain,
! [SV2: $i,SV43: $i,SV40: $i,SV8: $i,SV5: $i] :
( ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV5 @ SV40 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV43 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[287]) ).
thf(301,plain,
! [SV3: $i,SV33: $i,SV28: $i,SV9: $i,SV6: $i,SV19: $i,SV15: $i] :
( ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV15 @ SV28 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV28 @ SV33 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV28 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV33 ) )
| ~ ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV9 ) )
| ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV19 ) ) ) )
| ~ ( ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV33 )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV9 )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV19 ) ) )
| ~ ( ic @ SV3 )
| ( iext @ uri_owl_oneOf @ SV3 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[288]) ).
thf(302,plain,
! [SV3: $i,SV41: $i,SV39: $i,SV19: $i,SV15: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV6 @ SV15 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV15 @ SV19 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV15 @ SV39 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV39 @ SV41 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV39 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
| ~ ( ~ ! [SY240: $i] :
( ~ ( icext @ SV3 @ SY240 )
| ( SY240 = SV41 )
| ( SY240 = SV9 )
| ( SY240 = SV19 ) )
| ~ ~ ( ~ ! [SY241: $i] :
( ( SY241 != SV41 )
| ( icext @ SV3 @ SY241 ) )
| ~ ~ ( ~ ! [SY179: $i] :
( ( SY179 != SV9 )
| ( icext @ SV3 @ SY179 ) )
| ~ ! [SY206: $i] :
( ( SY206 != SV19 )
| ( icext @ SV3 @ SY206 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[289]) ).
thf(303,plain,
! [SV3: $i,SV42: $i,SV19: $i,SV15: $i,SV9: $i,SV6: $i] :
( ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV6 @ SV15 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV15 @ SV19 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV15 @ SV42 ) )
= $true )
| ( ( ! [SY244: $i] :
~ ( iext @ uri_rdf_first @ SV42 @ SY244 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
| ( ic @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[290]) ).
thf(304,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c2 @ sK3_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY44 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY44 @ sK4_SY51 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY51 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY51 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c3 @ sK5_SY57 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY57 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY57 @ sK6_SY62 ) )
| ~ ( iext @ uri_rdf_first @ sK6_SY62 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK6_SY62 @ sK7_SY66 ) )
| ~ ( iext @ uri_rdf_first @ sK7_SY66 @ uri_ex_w3 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(305,plain,
! [SV4: $i,SV7: $i,SV22: $i,SV25: $i,SV1: $i] :
( ( ( ~ ~ ( ~ ( ~ ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
!= SV7 ) )
| ~ ( ~ ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
!= SV25 ) ) ) )
= $false )
| ( ( ~ ( ic @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
= $true )
| ( ( iext @ uri_rdf_first @ SV22 @ SV25 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV22 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[293]) ).
thf(306,plain,
! [SV4: $i,SV7: $i,SV22: $i,SV25: $i,SV1: $i] :
( ( ( ~ ( ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
= SV7 )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
= SV25 ) ) )
= $false )
| ( ( ~ ( ic @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
= $true )
| ( ( iext @ uri_rdf_first @ SV22 @ SV25 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV22 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[293]) ).
thf(307,plain,
! [SV29: $i,SV34: $i,SV7: $i,SV4: $i,SV1: $i] :
( ( ( ~ ( iext @ uri_owl_oneOf @ SV1 @ SV4 ) )
= $true )
| ( ( ~ ( ~ ! [SY227: $i] :
( ~ ( icext @ SV1 @ SY227 )
| ( SY227 = SV7 )
| ( SY227 = SV34 ) )
| ~ ~ ( ~ ! [SY154: $i] :
( ( SY154 != SV7 )
| ( icext @ SV1 @ SY154 ) )
| ~ ! [SY229: $i] :
( ( SY229 != SV34 )
| ( icext @ SV1 @ SY229 ) ) ) ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV29 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[294]) ).
thf(308,plain,
! [SV7: $i,SV46: $i,SV35: $i,SV4: $i,SV1: $i] :
( ( ( ~ ( iext @ uri_owl_oneOf @ SV1 @ SV4 ) )
= $true )
| ( ( ic @ SV1 )
= $true )
| ( ( iext @ uri_rdf_first @ SV35 @ SV46 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV35 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV35 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[295]) ).
thf(309,plain,
! [SV5: $i,SV8: $i,SV23: $i,SV26: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ( ~ ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ~ ( icext @ SV8 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) ) )
| ~ ( ~ ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ~ ( icext @ SV26 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) ) ) ) )
= $false )
| ( ( ~ ( ic @ SV2 )
| ~ ( ic @ SV8 )
| ~ ( ic @ SV26 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV23 @ SV26 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[296]) ).
thf(310,plain,
! [SV5: $i,SV8: $i,SV23: $i,SV26: $i,SV2: $i] :
( ( ( ~ ( ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ( icext @ SV8 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ( icext @ SV26 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) ) ) )
= $false )
| ( ( ~ ( ic @ SV2 )
| ~ ( ic @ SV8 )
| ~ ( ic @ SV26 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV23 @ SV26 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[296]) ).
thf(311,plain,
! [SV30: $i,SV36: $i,SV8: $i,SV5: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 ) )
= $true )
| ( ( ~ ( ~ ! [SY231: $i] :
( ~ ( icext @ SV2 @ SY231 )
| ( icext @ SV8 @ SY231 )
| ( icext @ SV36 @ SY231 ) )
| ~ ~ ( ~ ! [SY163: $i] :
( ~ ( icext @ SV8 @ SY163 )
| ( icext @ SV2 @ SY163 ) )
| ~ ! [SY233: $i] :
( ~ ( icext @ SV36 @ SY233 )
| ( icext @ SV2 @ SY233 ) ) ) ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV30 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[297]) ).
thf(312,plain,
! [SV2: $i,SV47: $i,SV8: $i,SV5: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV5 @ SV47 ) )
= $true )
| ( ( ! [SY245: $i] :
~ ( iext @ uri_rdf_first @ SV47 @ SY245 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV47 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[298]) ).
thf(313,plain,
! [SV2: $i,SV48: $i,SV8: $i,SV5: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV5 @ SV8 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV5 @ SV48 ) )
= $true )
| ( ( ! [SY246: $i] :
~ ( iext @ uri_rdf_first @ SV48 @ SY246 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV48 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[299]) ).
thf(314,plain,
! [SV2: $i,SV43: $i,SV8: $i,SV40: $i,SV5: $i] :
( ( ( iext @ uri_rdf_rest @ SV5 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV43 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[300]) ).
thf(315,plain,
! [SV3: $i,SV33: $i,SV19: $i,SV9: $i,SV6: $i,SV28: $i,SV15: $i] :
( ( ( iext @ uri_rdf_rest @ SV15 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV28 @ SV33 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV28 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV33 ) )
| ~ ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV9 ) )
| ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV19 ) ) ) )
| ~ ( ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV33 )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV9 )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV19 ) ) )
| ~ ( ic @ SV3 )
| ( iext @ uri_owl_oneOf @ SV3 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[301]) ).
thf(316,plain,
! [SV3: $i,SV41: $i,SV39: $i,SV19: $i,SV15: $i,SV9: $i,SV6: $i] :
( ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV6 @ SV15 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV15 @ SV19 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV15 @ SV39 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV39 @ SV41 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV39 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
| ~ ( ~ ! [SY240: $i] :
( ~ ( icext @ SV3 @ SY240 )
| ( SY240 = SV41 )
| ( SY240 = SV9 )
| ( SY240 = SV19 ) )
| ~ ~ ( ~ ! [SY241: $i] :
( ( SY241 != SV41 )
| ( icext @ SV3 @ SY241 ) )
| ~ ~ ( ~ ! [SY179: $i] :
( ( SY179 != SV9 )
| ( icext @ SV3 @ SY179 ) )
| ~ ! [SY206: $i] :
( ( SY206 != SV19 )
| ( icext @ SV3 @ SY206 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[302]) ).
thf(317,plain,
! [SV3: $i,SV42: $i,SV19: $i,SV9: $i,SV15: $i,SV6: $i] :
( ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV15 @ SV19 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV15 @ SV42 ) )
= $true )
| ( ( ! [SY244: $i] :
~ ( iext @ uri_rdf_first @ SV42 @ SY244 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
| ( ic @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[303]) ).
thf(318,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c2 @ sK3_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY44 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY44 @ sK4_SY51 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY51 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY51 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c3 @ sK5_SY57 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY57 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY57 @ sK6_SY62 ) )
| ~ ( iext @ uri_rdf_first @ sK6_SY62 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK6_SY62 @ sK7_SY66 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[304]) ).
thf(319,plain,
( ( ~ ( iext @ uri_rdf_first @ sK7_SY66 @ uri_ex_w3 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[304]) ).
thf(320,plain,
! [SV4: $i,SV7: $i,SV22: $i,SV25: $i,SV1: $i] :
( ( ( ~ ( ~ ( ~ ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
!= SV7 ) )
| ~ ( ~ ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
!= SV25 ) ) ) )
= $true )
| ( ( ~ ( ic @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
= $true )
| ( ( iext @ uri_rdf_first @ SV22 @ SV25 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV22 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[305]) ).
thf(321,plain,
! [SV4: $i,SV7: $i,SV22: $i,SV25: $i,SV1: $i] :
( ( ( ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
= SV7 )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
= SV25 ) )
= $true )
| ( ( ~ ( ic @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
= $true )
| ( ( iext @ uri_rdf_first @ SV22 @ SV25 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV22 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[306]) ).
thf(322,plain,
! [SV29: $i,SV34: $i,SV7: $i,SV4: $i,SV1: $i] :
( ( ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
= $false )
| ( ( ~ ( ~ ! [SY227: $i] :
( ~ ( icext @ SV1 @ SY227 )
| ( SY227 = SV7 )
| ( SY227 = SV34 ) )
| ~ ~ ( ~ ! [SY154: $i] :
( ( SY154 != SV7 )
| ( icext @ SV1 @ SY154 ) )
| ~ ! [SY229: $i] :
( ( SY229 != SV34 )
| ( icext @ SV1 @ SY229 ) ) ) ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV29 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[307]) ).
thf(323,plain,
! [SV7: $i,SV46: $i,SV35: $i,SV4: $i,SV1: $i] :
( ( ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
= $false )
| ( ( ic @ SV1 )
= $true )
| ( ( iext @ uri_rdf_first @ SV35 @ SV46 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV35 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV35 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[308]) ).
thf(324,plain,
! [SV5: $i,SV8: $i,SV23: $i,SV26: $i,SV2: $i] :
( ( ( ~ ( ~ ( ~ ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ~ ( icext @ SV8 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) ) )
| ~ ( ~ ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ~ ( icext @ SV26 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) ) ) ) )
= $true )
| ( ( ~ ( ic @ SV2 )
| ~ ( ic @ SV8 )
| ~ ( ic @ SV26 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV23 @ SV26 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[309]) ).
thf(325,plain,
! [SV5: $i,SV8: $i,SV23: $i,SV26: $i,SV2: $i] :
( ( ( ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ( icext @ SV8 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ( icext @ SV26 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) ) )
= $true )
| ( ( ~ ( ic @ SV2 )
| ~ ( ic @ SV8 )
| ~ ( ic @ SV26 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV23 @ SV26 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[310]) ).
thf(326,plain,
! [SV30: $i,SV36: $i,SV8: $i,SV5: $i,SV2: $i] :
( ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $false )
| ( ( ~ ( ~ ! [SY231: $i] :
( ~ ( icext @ SV2 @ SY231 )
| ( icext @ SV8 @ SY231 )
| ( icext @ SV36 @ SY231 ) )
| ~ ~ ( ~ ! [SY163: $i] :
( ~ ( icext @ SV8 @ SY163 )
| ( icext @ SV2 @ SY163 ) )
| ~ ! [SY233: $i] :
( ~ ( icext @ SV36 @ SY233 )
| ( icext @ SV2 @ SY233 ) ) ) ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV30 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[311]) ).
thf(327,plain,
! [SV2: $i,SV47: $i,SV8: $i,SV5: $i] :
( ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV5 @ SV47 ) )
= $true )
| ( ( ! [SY245: $i] :
~ ( iext @ uri_rdf_first @ SV47 @ SY245 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV47 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[312]) ).
thf(328,plain,
! [SV2: $i,SV48: $i,SV8: $i,SV5: $i] :
( ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV5 @ SV48 ) )
= $true )
| ( ( ! [SY246: $i] :
~ ( iext @ uri_rdf_first @ SV48 @ SY246 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV48 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[313]) ).
thf(329,plain,
! [SV2: $i,SV8: $i,SV5: $i,SV43: $i,SV40: $i] :
( ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV40 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV43 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[314]) ).
thf(330,plain,
! [SV3: $i,SV9: $i,SV6: $i,SV19: $i,SV15: $i,SV33: $i,SV28: $i] :
( ( ( iext @ uri_rdf_first @ SV28 @ SV33 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV28 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV28 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV33 ) )
| ~ ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV9 ) )
| ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV19 ) ) ) )
| ~ ( ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV33 )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV9 )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV19 ) ) )
| ~ ( ic @ SV3 )
| ( iext @ uri_owl_oneOf @ SV3 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[315]) ).
thf(331,plain,
! [SV3: $i,SV41: $i,SV39: $i,SV19: $i,SV9: $i,SV15: $i,SV6: $i] :
( ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV15 @ SV19 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV15 @ SV39 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV39 @ SV41 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV39 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
| ~ ( ~ ! [SY240: $i] :
( ~ ( icext @ SV3 @ SY240 )
| ( SY240 = SV41 )
| ( SY240 = SV9 )
| ( SY240 = SV19 ) )
| ~ ~ ( ~ ! [SY241: $i] :
( ( SY241 != SV41 )
| ( icext @ SV3 @ SY241 ) )
| ~ ~ ( ~ ! [SY179: $i] :
( ( SY179 != SV9 )
| ( icext @ SV3 @ SY179 ) )
| ~ ! [SY206: $i] :
( ( SY206 != SV19 )
| ( icext @ SV3 @ SY206 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[316]) ).
thf(332,plain,
! [SV3: $i,SV42: $i,SV9: $i,SV6: $i,SV19: $i,SV15: $i] :
( ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV15 @ SV42 ) )
= $true )
| ( ( ! [SY244: $i] :
~ ( iext @ uri_rdf_first @ SV42 @ SY244 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
| ( ic @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[317]) ).
thf(333,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c2 @ sK3_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY44 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY44 @ sK4_SY51 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY51 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY51 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c3 @ sK5_SY57 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY57 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY57 @ sK6_SY62 ) )
| ~ ( iext @ uri_rdf_first @ sK6_SY62 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK6_SY62 @ sK7_SY66 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[318]) ).
thf(334,plain,
( ( iext @ uri_rdf_first @ sK7_SY66 @ uri_ex_w3 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[319]) ).
thf(335,plain,
! [SV4: $i,SV7: $i,SV22: $i,SV25: $i,SV1: $i] :
( ( ( ~ ( ~ ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
!= SV7 ) )
| ~ ( ~ ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
!= SV25 ) ) )
= $false )
| ( ( ~ ( ic @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
= $true )
| ( ( iext @ uri_rdf_first @ SV22 @ SV25 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV22 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[320]) ).
thf(336,plain,
! [SV4: $i,SV7: $i,SV22: $i,SV25: $i,SV1: $i] :
( ( ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
= $true )
| ( ( ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
= SV7 )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
= SV25 ) )
= $true )
| ( ( ~ ( ic @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
= $true )
| ( ( iext @ uri_rdf_first @ SV22 @ SV25 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV22 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[321]) ).
thf(337,plain,
! [SV29: $i,SV4: $i,SV34: $i,SV7: $i,SV1: $i] :
( ( ( ~ ! [SY227: $i] :
( ~ ( icext @ SV1 @ SY227 )
| ( SY227 = SV7 )
| ( SY227 = SV34 ) )
| ~ ~ ( ~ ! [SY154: $i] :
( ( SY154 != SV7 )
| ( icext @ SV1 @ SY154 ) )
| ~ ! [SY229: $i] :
( ( SY229 != SV34 )
| ( icext @ SV1 @ SY229 ) ) ) )
= $false )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV29 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[322]) ).
thf(338,plain,
! [SV5: $i,SV8: $i,SV23: $i,SV26: $i,SV2: $i] :
( ( ( ~ ( ~ ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ~ ( icext @ SV8 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) ) )
| ~ ( ~ ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ~ ( icext @ SV26 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) ) ) )
= $false )
| ( ( ~ ( ic @ SV2 )
| ~ ( ic @ SV8 )
| ~ ( ic @ SV26 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV23 @ SV26 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[324]) ).
thf(339,plain,
! [SV5: $i,SV8: $i,SV23: $i,SV26: $i,SV2: $i] :
( ( ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
= $true )
| ( ( ( icext @ SV8 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ( icext @ SV26 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) ) )
= $true )
| ( ( ~ ( ic @ SV2 )
| ~ ( ic @ SV8 )
| ~ ( ic @ SV26 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV23 @ SV26 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[325]) ).
thf(340,plain,
! [SV30: $i,SV5: $i,SV36: $i,SV8: $i,SV2: $i] :
( ( ( ~ ! [SY231: $i] :
( ~ ( icext @ SV2 @ SY231 )
| ( icext @ SV8 @ SY231 )
| ( icext @ SV36 @ SY231 ) )
| ~ ~ ( ~ ! [SY163: $i] :
( ~ ( icext @ SV8 @ SY163 )
| ( icext @ SV2 @ SY163 ) )
| ~ ! [SY233: $i] :
( ~ ( icext @ SV36 @ SY233 )
| ( icext @ SV2 @ SY233 ) ) ) )
= $false )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[326]) ).
thf(341,plain,
! [SV2: $i,SV8: $i,SV47: $i,SV5: $i] :
( ( ( iext @ uri_rdf_rest @ SV5 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( ! [SY245: $i] :
~ ( iext @ uri_rdf_first @ SV47 @ SY245 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV47 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[327]) ).
thf(342,plain,
! [SV2: $i,SV8: $i,SV48: $i,SV5: $i] :
( ( ( iext @ uri_rdf_rest @ SV5 @ SV48 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( ! [SY246: $i] :
~ ( iext @ uri_rdf_first @ SV48 @ SY246 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV48 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[328]) ).
thf(343,plain,
! [SV2: $i,SV43: $i,SV8: $i,SV5: $i,SV40: $i] :
( ( ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV43 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[329]) ).
thf(344,plain,
! [SV3: $i,SV33: $i,SV19: $i,SV9: $i,SV6: $i,SV15: $i,SV28: $i] :
( ( ( iext @ uri_rdf_rest @ SV28 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV28 @ SV33 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV33 ) )
| ~ ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV9 ) )
| ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV19 ) ) ) )
| ~ ( ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV33 )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV9 )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV19 ) ) )
| ~ ( ic @ SV3 )
| ( iext @ uri_owl_oneOf @ SV3 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[330]) ).
thf(345,plain,
! [SV3: $i,SV41: $i,SV39: $i,SV9: $i,SV6: $i,SV19: $i,SV15: $i] :
( ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV15 @ SV39 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV39 @ SV41 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV39 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
| ~ ( ~ ! [SY240: $i] :
( ~ ( icext @ SV3 @ SY240 )
| ( SY240 = SV41 )
| ( SY240 = SV9 )
| ( SY240 = SV19 ) )
| ~ ~ ( ~ ! [SY241: $i] :
( ( SY241 != SV41 )
| ( icext @ SV3 @ SY241 ) )
| ~ ~ ( ~ ! [SY179: $i] :
( ( SY179 != SV9 )
| ( icext @ SV3 @ SY179 ) )
| ~ ! [SY206: $i] :
( ( SY206 != SV19 )
| ( icext @ SV3 @ SY206 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[331]) ).
thf(346,plain,
! [SV3: $i,SV19: $i,SV9: $i,SV6: $i,SV42: $i,SV15: $i] :
( ( ( iext @ uri_rdf_rest @ SV15 @ SV42 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( ! [SY244: $i] :
~ ( iext @ uri_rdf_first @ SV42 @ SY244 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
| ( ic @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[332]) ).
thf(347,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c2 @ sK3_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY44 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY44 @ sK4_SY51 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY51 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY51 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c3 @ sK5_SY57 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY57 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY57 @ sK6_SY62 ) )
| ~ ( iext @ uri_rdf_first @ sK6_SY62 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK6_SY62 @ sK7_SY66 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[333]) ).
thf(348,plain,
! [SV4: $i,SV7: $i,SV22: $i,SV25: $i,SV1: $i] :
( ( ( ~ ( ~ ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
!= SV7 ) ) )
= $false )
| ( ( ~ ( ic @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
= $true )
| ( ( iext @ uri_rdf_first @ SV22 @ SV25 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV22 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[335]) ).
thf(349,plain,
! [SV4: $i,SV7: $i,SV22: $i,SV25: $i,SV1: $i] :
( ( ( ~ ( ~ ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
!= SV25 ) ) )
= $false )
| ( ( ~ ( ic @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
= $true )
| ( ( iext @ uri_rdf_first @ SV22 @ SV25 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV22 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[335]) ).
thf(350,plain,
! [SV1: $i,SV4: $i,SV7: $i,SV22: $i,SV25: $i] :
( ( ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
= SV7 )
= $true )
| ( ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
= SV25 )
= $true )
| ( ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
= $true )
| ( ( ~ ( ic @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
= $true )
| ( ( iext @ uri_rdf_first @ SV22 @ SV25 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV22 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[336]) ).
thf(351,plain,
! [SV29: $i,SV4: $i,SV34: $i,SV7: $i,SV1: $i] :
( ( ( ~ ! [SY227: $i] :
( ~ ( icext @ SV1 @ SY227 )
| ( SY227 = SV7 )
| ( SY227 = SV34 ) ) )
= $false )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV29 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[337]) ).
thf(352,plain,
! [SV29: $i,SV4: $i,SV34: $i,SV1: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ! [SY154: $i] :
( ( SY154 != SV7 )
| ( icext @ SV1 @ SY154 ) )
| ~ ! [SY229: $i] :
( ( SY229 != SV34 )
| ( icext @ SV1 @ SY229 ) ) ) )
= $false )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV29 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[337]) ).
thf(353,plain,
! [SV5: $i,SV8: $i,SV23: $i,SV26: $i,SV2: $i] :
( ( ( ~ ( ~ ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ~ ( icext @ SV8 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) ) ) )
= $false )
| ( ( ~ ( ic @ SV2 )
| ~ ( ic @ SV8 )
| ~ ( ic @ SV26 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV23 @ SV26 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[338]) ).
thf(354,plain,
! [SV5: $i,SV8: $i,SV23: $i,SV26: $i,SV2: $i] :
( ( ( ~ ( ~ ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ~ ( icext @ SV26 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) ) ) )
= $false )
| ( ( ~ ( ic @ SV2 )
| ~ ( ic @ SV8 )
| ~ ( ic @ SV26 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV23 @ SV26 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[338]) ).
thf(355,plain,
! [SV2: $i,SV5: $i,SV23: $i,SV26: $i,SV8: $i] :
( ( ( icext @ SV8 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
= $true )
| ( ( icext @ SV26 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
= $true )
| ( ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
= $true )
| ( ( ~ ( ic @ SV2 )
| ~ ( ic @ SV8 )
| ~ ( ic @ SV26 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV23 @ SV26 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[339]) ).
thf(356,plain,
! [SV30: $i,SV5: $i,SV36: $i,SV8: $i,SV2: $i] :
( ( ( ~ ! [SY231: $i] :
( ~ ( icext @ SV2 @ SY231 )
| ( icext @ SV8 @ SY231 )
| ( icext @ SV36 @ SY231 ) ) )
= $false )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[340]) ).
thf(357,plain,
! [SV30: $i,SV5: $i,SV36: $i,SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ! [SY163: $i] :
( ~ ( icext @ SV8 @ SY163 )
| ( icext @ SV2 @ SY163 ) )
| ~ ! [SY233: $i] :
( ~ ( icext @ SV36 @ SY233 )
| ( icext @ SV2 @ SY233 ) ) ) )
= $false )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[340]) ).
thf(358,plain,
! [SV2: $i,SV8: $i,SV5: $i,SV49: $i,SV47: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV47 @ SV49 ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV47 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV47 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV2 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[341]) ).
thf(359,plain,
! [SV2: $i,SV8: $i,SV5: $i,SV50: $i,SV48: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV48 @ SV50 ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV48 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV48 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV8 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[342]) ).
thf(360,plain,
! [SV8: $i,SV40: $i,SV43: $i,SV5: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 ) )
= $true )
| ( ( ic @ SV43 )
= $true )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[343]) ).
thf(361,plain,
! [SV6: $i,SV9: $i,SV15: $i,SV19: $i,SV28: $i,SV33: $i,SV3: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV33 ) )
| ~ ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV9 ) )
| ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV19 ) ) ) )
| ~ ( ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV33 )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV9 )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV19 ) ) )
| ~ ( ic @ SV3 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV28 @ SV33 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[344]) ).
thf(362,plain,
! [SV3: $i,SV41: $i,SV19: $i,SV9: $i,SV6: $i,SV39: $i,SV15: $i] :
( ( ( iext @ uri_rdf_rest @ SV15 @ SV39 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV39 @ SV41 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV39 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
| ~ ( ~ ! [SY240: $i] :
( ~ ( icext @ SV3 @ SY240 )
| ( SY240 = SV41 )
| ( SY240 = SV9 )
| ( SY240 = SV19 ) )
| ~ ~ ( ~ ! [SY241: $i] :
( ( SY241 != SV41 )
| ( icext @ SV3 @ SY241 ) )
| ~ ~ ( ~ ! [SY179: $i] :
( ( SY179 != SV9 )
| ( icext @ SV3 @ SY179 ) )
| ~ ! [SY206: $i] :
( ( SY206 != SV19 )
| ( icext @ SV3 @ SY206 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[345]) ).
thf(363,plain,
! [SV3: $i,SV9: $i,SV6: $i,SV19: $i,SV15: $i,SV51: $i,SV42: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV42 @ SV51 ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV42 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
| ( ic @ SV3 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[346]) ).
thf(364,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c2 @ sK3_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY44 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY44 @ sK4_SY51 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY51 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY51 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c3 @ sK5_SY57 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY57 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY57 @ sK6_SY62 ) )
| ~ ( iext @ uri_rdf_first @ sK6_SY62 @ uri_ex_w2 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[347]) ).
thf(365,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK6_SY62 @ sK7_SY66 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[347]) ).
thf(366,plain,
! [SV4: $i,SV7: $i,SV22: $i,SV25: $i,SV1: $i] :
( ( ( ~ ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
!= SV7 ) )
= $true )
| ( ( ~ ( ic @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
= $true )
| ( ( iext @ uri_rdf_first @ SV22 @ SV25 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV22 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[348]) ).
thf(367,plain,
! [SV4: $i,SV7: $i,SV22: $i,SV25: $i,SV1: $i] :
( ( ( ~ ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
| ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
!= SV25 ) )
= $true )
| ( ( ~ ( ic @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
= $true )
| ( ( iext @ uri_rdf_first @ SV22 @ SV25 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV22 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[349]) ).
thf(368,plain,
! [SV4: $i,SV7: $i,SV22: $i,SV25: $i,SV1: $i] :
( ( ( ic @ SV1 )
= $false )
| ( ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
= $true )
| ( ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
= SV25 )
= $true )
| ( ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
= SV7 )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
= $true )
| ( ( iext @ uri_rdf_first @ SV22 @ SV25 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV22 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[350]) ).
thf(369,plain,
! [SV29: $i,SV4: $i,SV34: $i,SV7: $i,SV1: $i] :
( ( ( ! [SY227: $i] :
( ~ ( icext @ SV1 @ SY227 )
| ( SY227 = SV7 )
| ( SY227 = SV34 ) ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV29 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[351]) ).
thf(370,plain,
! [SV29: $i,SV4: $i,SV34: $i,SV1: $i,SV7: $i] :
( ( ( ~ ( ~ ! [SY154: $i] :
( ( SY154 != SV7 )
| ( icext @ SV1 @ SY154 ) )
| ~ ! [SY229: $i] :
( ( SY229 != SV34 )
| ( icext @ SV1 @ SY229 ) ) ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV29 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[352]) ).
thf(371,plain,
! [SV5: $i,SV8: $i,SV23: $i,SV26: $i,SV2: $i] :
( ( ( ~ ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ~ ( icext @ SV8 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) ) )
= $true )
| ( ( ~ ( ic @ SV2 )
| ~ ( ic @ SV8 )
| ~ ( ic @ SV26 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV23 @ SV26 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[353]) ).
thf(372,plain,
! [SV5: $i,SV8: $i,SV23: $i,SV26: $i,SV2: $i] :
( ( ( ~ ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
| ~ ( icext @ SV26 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) ) )
= $true )
| ( ( ~ ( ic @ SV2 )
| ~ ( ic @ SV8 )
| ~ ( ic @ SV26 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV23 @ SV26 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[354]) ).
thf(373,plain,
! [SV5: $i,SV23: $i,SV26: $i,SV8: $i,SV2: $i] :
( ( ( ~ ( ic @ SV2 )
| ~ ( ic @ SV8 ) )
= $true )
| ( ( ~ ( ic @ SV26 ) )
= $true )
| ( ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
= $true )
| ( ( icext @ SV26 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
= $true )
| ( ( icext @ SV8 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV23 @ SV26 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[355]) ).
thf(374,plain,
! [SV30: $i,SV5: $i,SV36: $i,SV8: $i,SV2: $i] :
( ( ( ! [SY231: $i] :
( ~ ( icext @ SV2 @ SY231 )
| ( icext @ SV8 @ SY231 )
| ( icext @ SV36 @ SY231 ) ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[356]) ).
thf(375,plain,
! [SV30: $i,SV5: $i,SV36: $i,SV2: $i,SV8: $i] :
( ( ( ~ ( ~ ! [SY163: $i] :
( ~ ( icext @ SV8 @ SY163 )
| ( icext @ SV2 @ SY163 ) )
| ~ ! [SY233: $i] :
( ~ ( icext @ SV36 @ SY233 )
| ( icext @ SV2 @ SY233 ) ) ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[357]) ).
thf(376,plain,
! [SV2: $i,SV8: $i,SV5: $i,SV49: $i,SV47: $i] :
( ( ( iext @ uri_rdf_first @ SV47 @ SV49 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV47 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV47 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[358]) ).
thf(377,plain,
! [SV2: $i,SV8: $i,SV5: $i,SV50: $i,SV48: $i] :
( ( ( iext @ uri_rdf_first @ SV48 @ SV50 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV48 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV48 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[359]) ).
thf(378,plain,
! [SV8: $i,SV40: $i,SV43: $i,SV5: $i,SV2: $i] :
( ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $false )
| ( ( ic @ SV43 )
= $true )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[360]) ).
thf(379,plain,
! [SV6: $i,SV9: $i,SV15: $i,SV19: $i,SV28: $i,SV33: $i,SV3: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV33 ) )
| ~ ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV9 ) )
| ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV19 ) ) ) )
| ~ ( ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV33 )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV9 )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV19 ) ) ) )
= $true )
| ( ( ~ ( ic @ SV3 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV28 @ SV33 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[361]) ).
thf(380,plain,
! [SV3: $i,SV9: $i,SV6: $i,SV19: $i,SV15: $i,SV41: $i,SV39: $i] :
( ( ( iext @ uri_rdf_first @ SV39 @ SV41 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV39 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV39 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
| ~ ( ~ ! [SY240: $i] :
( ~ ( icext @ SV3 @ SY240 )
| ( SY240 = SV41 )
| ( SY240 = SV9 )
| ( SY240 = SV19 ) )
| ~ ~ ( ~ ! [SY241: $i] :
( ( SY241 != SV41 )
| ( icext @ SV3 @ SY241 ) )
| ~ ~ ( ~ ! [SY179: $i] :
( ( SY179 != SV9 )
| ( icext @ SV3 @ SY179 ) )
| ~ ! [SY206: $i] :
( ( SY206 != SV19 )
| ( icext @ SV3 @ SY206 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[362]) ).
thf(381,plain,
! [SV3: $i,SV9: $i,SV6: $i,SV19: $i,SV15: $i,SV51: $i,SV42: $i] :
( ( ( iext @ uri_rdf_first @ SV42 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV42 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
| ( ic @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[363]) ).
thf(382,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c2 @ sK3_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY44 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY44 @ sK4_SY51 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY51 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY51 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c3 @ sK5_SY57 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY57 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY57 @ sK6_SY62 ) )
| ~ ( iext @ uri_rdf_first @ sK6_SY62 @ uri_ex_w2 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[364]) ).
thf(383,plain,
( ( iext @ uri_rdf_rest @ sK6_SY62 @ sK7_SY66 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[365]) ).
thf(384,plain,
! [SV4: $i,SV7: $i,SV22: $i,SV25: $i,SV1: $i] :
( ( ( ~ ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) ) )
= $true )
| ( ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
!= SV7 )
= $true )
| ( ( ~ ( ic @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
= $true )
| ( ( iext @ uri_rdf_first @ SV22 @ SV25 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV22 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[366]) ).
thf(385,plain,
! [SV4: $i,SV7: $i,SV22: $i,SV25: $i,SV1: $i] :
( ( ( ~ ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) ) )
= $true )
| ( ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
!= SV25 )
= $true )
| ( ( ~ ( ic @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
= $true )
| ( ( iext @ uri_rdf_first @ SV22 @ SV25 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV22 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[367]) ).
thf(386,plain,
! [SV29: $i,SV4: $i,SV34: $i,SV7: $i,SV52: $i,SV1: $i] :
( ( ( ~ ( icext @ SV1 @ SV52 )
| ( SV52 = SV7 )
| ( SV52 = SV34 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV29 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[369]) ).
thf(387,plain,
! [SV29: $i,SV4: $i,SV34: $i,SV1: $i,SV7: $i] :
( ( ( ~ ! [SY154: $i] :
( ( SY154 != SV7 )
| ( icext @ SV1 @ SY154 ) )
| ~ ! [SY229: $i] :
( ( SY229 != SV34 )
| ( icext @ SV1 @ SY229 ) ) )
= $false )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV29 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[370]) ).
thf(388,plain,
! [SV5: $i,SV8: $i,SV23: $i,SV26: $i,SV2: $i] :
( ( ( ~ ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) ) )
= $true )
| ( ( ~ ( icext @ SV8 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) ) )
= $true )
| ( ( ~ ( ic @ SV2 )
| ~ ( ic @ SV8 )
| ~ ( ic @ SV26 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV23 @ SV26 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[371]) ).
thf(389,plain,
! [SV5: $i,SV8: $i,SV23: $i,SV26: $i,SV2: $i] :
( ( ( ~ ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) ) )
= $true )
| ( ( ~ ( icext @ SV26 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) ) )
= $true )
| ( ( ~ ( ic @ SV2 )
| ~ ( ic @ SV8 )
| ~ ( ic @ SV26 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV23 @ SV26 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[372]) ).
thf(390,plain,
! [SV5: $i,SV23: $i,SV26: $i,SV8: $i,SV2: $i] :
( ( ( ~ ( ic @ SV2 ) )
= $true )
| ( ( ~ ( ic @ SV8 ) )
= $true )
| ( ( ~ ( ic @ SV26 ) )
= $true )
| ( ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
= $true )
| ( ( icext @ SV26 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
= $true )
| ( ( icext @ SV8 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV23 @ SV26 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[373]) ).
thf(391,plain,
! [SV30: $i,SV5: $i,SV36: $i,SV8: $i,SV53: $i,SV2: $i] :
( ( ( ~ ( icext @ SV2 @ SV53 )
| ( icext @ SV8 @ SV53 )
| ( icext @ SV36 @ SV53 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[374]) ).
thf(392,plain,
! [SV30: $i,SV5: $i,SV36: $i,SV2: $i,SV8: $i] :
( ( ( ~ ! [SY163: $i] :
( ~ ( icext @ SV8 @ SY163 )
| ( icext @ SV2 @ SY163 ) )
| ~ ! [SY233: $i] :
( ~ ( icext @ SV36 @ SY233 )
| ( icext @ SV2 @ SY233 ) ) )
= $false )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[375]) ).
thf(393,plain,
! [SV2: $i,SV49: $i,SV8: $i,SV5: $i,SV47: $i] :
( ( ( iext @ uri_rdf_rest @ SV47 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_first @ SV47 @ SV49 )
= $false )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[376]) ).
thf(394,plain,
! [SV2: $i,SV50: $i,SV8: $i,SV5: $i,SV48: $i] :
( ( ( iext @ uri_rdf_rest @ SV48 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV48 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_first @ SV48 @ SV50 )
= $false )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
| ( ic @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[377]) ).
thf(395,plain,
! [SV6: $i,SV9: $i,SV15: $i,SV19: $i,SV28: $i,SV33: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV33 ) )
| ~ ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV9 ) )
| ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV19 ) ) ) )
| ~ ( ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV33 )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV9 )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV19 ) ) )
= $false )
| ( ( ~ ( ic @ SV3 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV28 @ SV33 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[379]) ).
thf(396,plain,
! [SV3: $i,SV41: $i,SV19: $i,SV9: $i,SV6: $i,SV15: $i,SV39: $i] :
( ( ( iext @ uri_rdf_rest @ SV39 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV39 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV39 @ SV41 )
= $false )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
| ~ ( ~ ! [SY240: $i] :
( ~ ( icext @ SV3 @ SY240 )
| ( SY240 = SV41 )
| ( SY240 = SV9 )
| ( SY240 = SV19 ) )
| ~ ~ ( ~ ! [SY241: $i] :
( ( SY241 != SV41 )
| ( icext @ SV3 @ SY241 ) )
| ~ ~ ( ~ ! [SY179: $i] :
( ( SY179 != SV9 )
| ( icext @ SV3 @ SY179 ) )
| ~ ! [SY206: $i] :
( ( SY206 != SV19 )
| ( icext @ SV3 @ SY206 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[380]) ).
thf(397,plain,
! [SV3: $i,SV51: $i,SV19: $i,SV9: $i,SV6: $i,SV15: $i,SV42: $i] :
( ( ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV42 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV42 @ SV51 )
= $false )
| ( ( ~ ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
| ( ic @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[381]) ).
thf(398,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c2 @ sK3_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY44 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY44 @ sK4_SY51 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY51 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY51 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c3 @ sK5_SY57 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY57 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY57 @ sK6_SY62 ) )
| ~ ( iext @ uri_rdf_first @ sK6_SY62 @ uri_ex_w2 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[382]) ).
thf(399,plain,
! [SV4: $i,SV7: $i,SV22: $i,SV25: $i,SV1: $i] :
( ( ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
= $false )
| ( ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
!= SV7 )
= $true )
| ( ( ~ ( ic @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
= $true )
| ( ( iext @ uri_rdf_first @ SV22 @ SV25 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV22 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[384]) ).
thf(400,plain,
! [SV4: $i,SV7: $i,SV22: $i,SV25: $i,SV1: $i] :
( ( ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
= $false )
| ( ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
!= SV25 )
= $true )
| ( ( ~ ( ic @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
= $true )
| ( ( iext @ uri_rdf_first @ SV22 @ SV25 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV22 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[385]) ).
thf(401,plain,
! [SV29: $i,SV4: $i,SV34: $i,SV7: $i,SV52: $i,SV1: $i] :
( ( ( ~ ( icext @ SV1 @ SV52 ) )
= $true )
| ( ( ( SV52 = SV7 )
| ( SV52 = SV34 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV29 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[386]) ).
thf(402,plain,
! [SV34: $i,SV29: $i,SV4: $i,SV1: $i,SV7: $i] :
( ( ( ~ ! [SY154: $i] :
( ( SY154 != SV7 )
| ( icext @ SV1 @ SY154 ) ) )
= $false )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV29 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[387]) ).
thf(403,plain,
! [SV7: $i,SV29: $i,SV4: $i,SV1: $i,SV34: $i] :
( ( ( ~ ! [SY229: $i] :
( ( SY229 != SV34 )
| ( icext @ SV1 @ SY229 ) ) )
= $false )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV29 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[387]) ).
thf(404,plain,
! [SV5: $i,SV8: $i,SV23: $i,SV26: $i,SV2: $i] :
( ( ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
= $false )
| ( ( ~ ( icext @ SV8 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) ) )
= $true )
| ( ( ~ ( ic @ SV2 )
| ~ ( ic @ SV8 )
| ~ ( ic @ SV26 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV23 @ SV26 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[388]) ).
thf(405,plain,
! [SV5: $i,SV8: $i,SV23: $i,SV26: $i,SV2: $i] :
( ( ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
= $false )
| ( ( ~ ( icext @ SV26 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) ) )
= $true )
| ( ( ~ ( ic @ SV2 )
| ~ ( ic @ SV8 )
| ~ ( ic @ SV26 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV23 @ SV26 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[389]) ).
thf(406,plain,
! [SV5: $i,SV23: $i,SV26: $i,SV8: $i,SV2: $i] :
( ( ( ic @ SV2 )
= $false )
| ( ( ~ ( ic @ SV8 ) )
= $true )
| ( ( ~ ( ic @ SV26 ) )
= $true )
| ( ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
= $true )
| ( ( icext @ SV26 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
= $true )
| ( ( icext @ SV8 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV23 @ SV26 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(407,plain,
! [SV30: $i,SV5: $i,SV36: $i,SV8: $i,SV53: $i,SV2: $i] :
( ( ( ~ ( icext @ SV2 @ SV53 ) )
= $true )
| ( ( ( icext @ SV8 @ SV53 )
| ( icext @ SV36 @ SV53 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[391]) ).
thf(408,plain,
! [SV36: $i,SV30: $i,SV5: $i,SV2: $i,SV8: $i] :
( ( ( ~ ! [SY163: $i] :
( ~ ( icext @ SV8 @ SY163 )
| ( icext @ SV2 @ SY163 ) ) )
= $false )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[392]) ).
thf(409,plain,
! [SV8: $i,SV30: $i,SV5: $i,SV2: $i,SV36: $i] :
( ( ( ~ ! [SY233: $i] :
( ~ ( icext @ SV36 @ SY233 )
| ( icext @ SV2 @ SY233 ) ) )
= $false )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[392]) ).
thf(410,plain,
! [SV8: $i,SV49: $i,SV47: $i,SV5: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 ) )
= $true )
| ( ( ic @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV47 @ SV49 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV47 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[393]) ).
thf(411,plain,
! [SV50: $i,SV48: $i,SV8: $i,SV5: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV5 ) )
= $true )
| ( ( ic @ SV8 )
= $true )
| ( ( iext @ uri_rdf_first @ SV48 @ SV50 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV48 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV48 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[394]) ).
thf(412,plain,
! [SV6: $i,SV9: $i,SV15: $i,SV19: $i,SV28: $i,SV33: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV33 ) )
| ~ ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV9 ) )
| ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV19 ) ) ) ) )
= $false )
| ( ( ~ ( ic @ SV3 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV28 @ SV33 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[395]) ).
thf(413,plain,
! [SV6: $i,SV9: $i,SV15: $i,SV19: $i,SV28: $i,SV33: $i,SV3: $i] :
( ( ( ~ ( ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV33 )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV9 )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV19 ) ) )
= $false )
| ( ( ~ ( ic @ SV3 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV28 @ SV33 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[395]) ).
thf(414,plain,
! [SV15: $i,SV39: $i,SV19: $i,SV9: $i,SV41: $i,SV6: $i,SV3: $i] :
( ( ( ~ ( iext @ uri_owl_oneOf @ SV3 @ SV6 ) )
= $true )
| ( ( ~ ( ~ ! [SY240: $i] :
( ~ ( icext @ SV3 @ SY240 )
| ( SY240 = SV41 )
| ( SY240 = SV9 )
| ( SY240 = SV19 ) )
| ~ ~ ( ~ ! [SY241: $i] :
( ( SY241 != SV41 )
| ( icext @ SV3 @ SY241 ) )
| ~ ~ ( ~ ! [SY179: $i] :
( ( SY179 != SV9 )
| ( icext @ SV3 @ SY179 ) )
| ~ ! [SY206: $i] :
( ( SY206 != SV19 )
| ( icext @ SV3 @ SY206 ) ) ) ) ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV39 @ SV41 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV39 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV39 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[396]) ).
thf(415,plain,
! [SV9: $i,SV19: $i,SV15: $i,SV51: $i,SV42: $i,SV6: $i,SV3: $i] :
( ( ( ~ ( iext @ uri_owl_oneOf @ SV3 @ SV6 ) )
= $true )
| ( ( ic @ SV3 )
= $true )
| ( ( iext @ uri_rdf_first @ SV42 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV42 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[397]) ).
thf(416,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c2 @ sK3_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY44 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY44 @ sK4_SY51 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY51 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY51 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c3 @ sK5_SY57 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY57 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY57 @ sK6_SY62 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[398]) ).
thf(417,plain,
( ( ~ ( iext @ uri_rdf_first @ sK6_SY62 @ uri_ex_w2 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[398]) ).
thf(418,plain,
! [SV1: $i,SV4: $i,SV7: $i,SV22: $i,SV25: $i] :
( ( ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
= SV7 )
= $false )
| ( ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
= $false )
| ( ( ~ ( ic @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
= $true )
| ( ( iext @ uri_rdf_first @ SV22 @ SV25 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV22 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[399]) ).
thf(419,plain,
! [SV1: $i,SV4: $i,SV7: $i,SV22: $i,SV25: $i] :
( ( ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
= SV25 )
= $false )
| ( ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
= $false )
| ( ( ~ ( ic @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
= $true )
| ( ( iext @ uri_rdf_first @ SV22 @ SV25 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV22 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[400]) ).
thf(420,plain,
! [SV29: $i,SV4: $i,SV34: $i,SV7: $i,SV52: $i,SV1: $i] :
( ( ( icext @ SV1 @ SV52 )
= $false )
| ( ( ( SV52 = SV7 )
| ( SV52 = SV34 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV29 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[401]) ).
thf(421,plain,
! [SV34: $i,SV29: $i,SV4: $i,SV1: $i,SV7: $i] :
( ( ( ! [SY154: $i] :
( ( SY154 != SV7 )
| ( icext @ SV1 @ SY154 ) ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV29 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[402]) ).
thf(422,plain,
! [SV7: $i,SV29: $i,SV4: $i,SV1: $i,SV34: $i] :
( ( ( ! [SY229: $i] :
( ( SY229 != SV34 )
| ( icext @ SV1 @ SY229 ) ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV29 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[403]) ).
thf(423,plain,
! [SV2: $i,SV5: $i,SV23: $i,SV26: $i,SV8: $i] :
( ( ( icext @ SV8 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
= $false )
| ( ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
= $false )
| ( ( ~ ( ic @ SV2 )
| ~ ( ic @ SV8 )
| ~ ( ic @ SV26 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV23 @ SV26 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[404]) ).
thf(424,plain,
! [SV2: $i,SV5: $i,SV8: $i,SV23: $i,SV26: $i] :
( ( ( icext @ SV26 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
= $false )
| ( ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
= $false )
| ( ( ~ ( ic @ SV2 )
| ~ ( ic @ SV8 )
| ~ ( ic @ SV26 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV23 @ SV26 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[405]) ).
thf(425,plain,
! [SV5: $i,SV23: $i,SV26: $i,SV2: $i,SV8: $i] :
( ( ( ic @ SV8 )
= $false )
| ( ( ic @ SV2 )
= $false )
| ( ( ~ ( ic @ SV26 ) )
= $true )
| ( ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
= $true )
| ( ( icext @ SV26 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
= $true )
| ( ( icext @ SV8 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV23 @ SV26 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[406]) ).
thf(426,plain,
! [SV30: $i,SV5: $i,SV36: $i,SV8: $i,SV53: $i,SV2: $i] :
( ( ( icext @ SV2 @ SV53 )
= $false )
| ( ( ( icext @ SV8 @ SV53 )
| ( icext @ SV36 @ SV53 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[407]) ).
thf(427,plain,
! [SV36: $i,SV30: $i,SV5: $i,SV2: $i,SV8: $i] :
( ( ( ! [SY163: $i] :
( ~ ( icext @ SV8 @ SY163 )
| ( icext @ SV2 @ SY163 ) ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[408]) ).
thf(428,plain,
! [SV8: $i,SV30: $i,SV5: $i,SV2: $i,SV36: $i] :
( ( ( ! [SY233: $i] :
( ~ ( icext @ SV36 @ SY233 )
| ( icext @ SV2 @ SY233 ) ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[409]) ).
thf(429,plain,
! [SV8: $i,SV49: $i,SV47: $i,SV5: $i,SV2: $i] :
( ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $false )
| ( ( ic @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV47 @ SV49 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV47 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[410]) ).
thf(430,plain,
! [SV50: $i,SV48: $i,SV8: $i,SV5: $i,SV2: $i] :
( ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $false )
| ( ( ic @ SV8 )
= $true )
| ( ( iext @ uri_rdf_first @ SV48 @ SV50 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV48 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV48 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[411]) ).
thf(431,plain,
! [SV6: $i,SV9: $i,SV15: $i,SV19: $i,SV28: $i,SV33: $i,SV3: $i] :
( ( ( ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV33 ) )
| ~ ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV9 ) )
| ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV19 ) ) ) ) )
= $true )
| ( ( ~ ( ic @ SV3 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV28 @ SV33 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[412]) ).
thf(432,plain,
! [SV6: $i,SV9: $i,SV15: $i,SV19: $i,SV28: $i,SV33: $i,SV3: $i] :
( ( ( ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV33 )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV9 )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV19 ) )
= $true )
| ( ( ~ ( ic @ SV3 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV28 @ SV33 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[413]) ).
thf(433,plain,
! [SV15: $i,SV39: $i,SV19: $i,SV9: $i,SV41: $i,SV6: $i,SV3: $i] :
( ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $false )
| ( ( ~ ( ~ ! [SY240: $i] :
( ~ ( icext @ SV3 @ SY240 )
| ( SY240 = SV41 )
| ( SY240 = SV9 )
| ( SY240 = SV19 ) )
| ~ ~ ( ~ ! [SY241: $i] :
( ( SY241 != SV41 )
| ( icext @ SV3 @ SY241 ) )
| ~ ~ ( ~ ! [SY179: $i] :
( ( SY179 != SV9 )
| ( icext @ SV3 @ SY179 ) )
| ~ ! [SY206: $i] :
( ( SY206 != SV19 )
| ( icext @ SV3 @ SY206 ) ) ) ) ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV39 @ SV41 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV39 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV39 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[414]) ).
thf(434,plain,
! [SV9: $i,SV19: $i,SV15: $i,SV51: $i,SV42: $i,SV6: $i,SV3: $i] :
( ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $false )
| ( ( ic @ SV3 )
= $true )
| ( ( iext @ uri_rdf_first @ SV42 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV42 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[415]) ).
thf(435,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c2 @ sK3_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY44 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY44 @ sK4_SY51 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY51 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY51 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c3 @ sK5_SY57 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY57 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY57 @ sK6_SY62 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[416]) ).
thf(436,plain,
( ( iext @ uri_rdf_first @ sK6_SY62 @ uri_ex_w2 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[417]) ).
thf(437,plain,
! [SV4: $i,SV7: $i,SV22: $i,SV25: $i,SV1: $i] :
( ( ( ic @ SV1 )
= $false )
| ( ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
= $false )
| ( ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
= SV7 )
= $false )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
= $true )
| ( ( iext @ uri_rdf_first @ SV22 @ SV25 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV22 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[418]) ).
thf(438,plain,
! [SV4: $i,SV7: $i,SV22: $i,SV25: $i,SV1: $i] :
( ( ( ic @ SV1 )
= $false )
| ( ( icext @ SV1 @ ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 ) )
= $false )
| ( ( ( sK12_X @ SV25 @ SV22 @ SV7 @ SV4 @ SV1 )
= SV25 )
= $false )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
= $true )
| ( ( iext @ uri_rdf_first @ SV22 @ SV25 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV22 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[419]) ).
thf(439,plain,
! [SV29: $i,SV4: $i,SV1: $i,SV34: $i,SV7: $i,SV52: $i] :
( ( ( SV52 = SV7 )
= $true )
| ( ( SV52 = SV34 )
= $true )
| ( ( icext @ SV1 @ SV52 )
= $false )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV29 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[420]) ).
thf(440,plain,
! [SV34: $i,SV29: $i,SV4: $i,SV1: $i,SV7: $i,SV54: $i] :
( ( ( ( SV54 != SV7 )
| ( icext @ SV1 @ SV54 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV29 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[421]) ).
thf(441,plain,
! [SV7: $i,SV29: $i,SV4: $i,SV1: $i,SV34: $i,SV55: $i] :
( ( ( ( SV55 != SV34 )
| ( icext @ SV1 @ SV55 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV29 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[422]) ).
thf(442,plain,
! [SV5: $i,SV23: $i,SV26: $i,SV8: $i,SV2: $i] :
( ( ( ~ ( ic @ SV2 )
| ~ ( ic @ SV8 ) )
= $true )
| ( ( ~ ( ic @ SV26 ) )
= $true )
| ( ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
= $false )
| ( ( icext @ SV8 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
= $false )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV23 @ SV26 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[423]) ).
thf(443,plain,
! [SV5: $i,SV23: $i,SV26: $i,SV8: $i,SV2: $i] :
( ( ( ~ ( ic @ SV2 )
| ~ ( ic @ SV8 ) )
= $true )
| ( ( ~ ( ic @ SV26 ) )
= $true )
| ( ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
= $false )
| ( ( icext @ SV26 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
= $false )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV23 @ SV26 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[424]) ).
thf(444,plain,
! [SV5: $i,SV23: $i,SV8: $i,SV2: $i,SV26: $i] :
( ( ( ic @ SV26 )
= $false )
| ( ( ic @ SV2 )
= $false )
| ( ( ic @ SV8 )
= $false )
| ( ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
= $true )
| ( ( icext @ SV26 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
= $true )
| ( ( icext @ SV8 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV23 @ SV26 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[425]) ).
thf(445,plain,
! [SV30: $i,SV5: $i,SV2: $i,SV36: $i,SV53: $i,SV8: $i] :
( ( ( icext @ SV8 @ SV53 )
= $true )
| ( ( icext @ SV36 @ SV53 )
= $true )
| ( ( icext @ SV2 @ SV53 )
= $false )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[426]) ).
thf(446,plain,
! [SV36: $i,SV30: $i,SV5: $i,SV2: $i,SV56: $i,SV8: $i] :
( ( ( ~ ( icext @ SV8 @ SV56 )
| ( icext @ SV2 @ SV56 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[427]) ).
thf(447,plain,
! [SV8: $i,SV30: $i,SV5: $i,SV2: $i,SV57: $i,SV36: $i] :
( ( ( ~ ( icext @ SV36 @ SV57 )
| ( icext @ SV2 @ SV57 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[428]) ).
thf(448,plain,
! [SV6: $i,SV9: $i,SV15: $i,SV19: $i,SV28: $i,SV33: $i,SV3: $i] :
( ( ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV33 ) )
| ~ ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV9 ) )
| ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV19 ) ) ) )
= $false )
| ( ( ~ ( ic @ SV3 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV28 @ SV33 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[431]) ).
thf(449,plain,
! [SV6: $i,SV9: $i,SV15: $i,SV19: $i,SV28: $i,SV33: $i,SV3: $i] :
( ( ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
= $true )
| ( ( ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV33 )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV9 )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV19 ) )
= $true )
| ( ( ~ ( ic @ SV3 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV28 @ SV33 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[432]) ).
thf(450,plain,
! [SV15: $i,SV39: $i,SV6: $i,SV19: $i,SV9: $i,SV41: $i,SV3: $i] :
( ( ( ~ ! [SY240: $i] :
( ~ ( icext @ SV3 @ SY240 )
| ( SY240 = SV41 )
| ( SY240 = SV9 )
| ( SY240 = SV19 ) )
| ~ ~ ( ~ ! [SY241: $i] :
( ( SY241 != SV41 )
| ( icext @ SV3 @ SY241 ) )
| ~ ~ ( ~ ! [SY179: $i] :
( ( SY179 != SV9 )
| ( icext @ SV3 @ SY179 ) )
| ~ ! [SY206: $i] :
( ( SY206 != SV19 )
| ( icext @ SV3 @ SY206 ) ) ) ) )
= $false )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV39 @ SV41 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV39 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV39 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[433]) ).
thf(451,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c2 @ sK3_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY44 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY44 @ sK4_SY51 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY51 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY51 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c3 @ sK5_SY57 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY57 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK5_SY57 @ sK6_SY62 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[435]) ).
thf(452,plain,
! [SV34: $i,SV29: $i,SV4: $i,SV1: $i,SV7: $i,SV54: $i] :
( ( ( SV54 != SV7 )
= $true )
| ( ( icext @ SV1 @ SV54 )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV29 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[440]) ).
thf(453,plain,
! [SV7: $i,SV29: $i,SV4: $i,SV1: $i,SV34: $i,SV55: $i] :
( ( ( SV55 != SV34 )
= $true )
| ( ( icext @ SV1 @ SV55 )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV29 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[441]) ).
thf(454,plain,
! [SV5: $i,SV23: $i,SV26: $i,SV8: $i,SV2: $i] :
( ( ( ~ ( ic @ SV2 ) )
= $true )
| ( ( ~ ( ic @ SV8 ) )
= $true )
| ( ( ~ ( ic @ SV26 ) )
= $true )
| ( ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
= $false )
| ( ( icext @ SV8 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
= $false )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV23 @ SV26 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[442]) ).
thf(455,plain,
! [SV5: $i,SV23: $i,SV26: $i,SV8: $i,SV2: $i] :
( ( ( ~ ( ic @ SV2 ) )
= $true )
| ( ( ~ ( ic @ SV8 ) )
= $true )
| ( ( ~ ( ic @ SV26 ) )
= $true )
| ( ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
= $false )
| ( ( icext @ SV26 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
= $false )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV23 @ SV26 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[443]) ).
thf(456,plain,
! [SV36: $i,SV30: $i,SV5: $i,SV2: $i,SV56: $i,SV8: $i] :
( ( ( ~ ( icext @ SV8 @ SV56 ) )
= $true )
| ( ( icext @ SV2 @ SV56 )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[446]) ).
thf(457,plain,
! [SV8: $i,SV30: $i,SV5: $i,SV2: $i,SV57: $i,SV36: $i] :
( ( ( ~ ( icext @ SV36 @ SV57 ) )
= $true )
| ( ( icext @ SV2 @ SV57 )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[447]) ).
thf(458,plain,
! [SV6: $i,SV9: $i,SV15: $i,SV19: $i,SV28: $i,SV33: $i,SV3: $i] :
( ( ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV33 ) ) )
= $false )
| ( ( ~ ( ic @ SV3 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV28 @ SV33 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[448]) ).
thf(459,plain,
! [SV6: $i,SV9: $i,SV15: $i,SV19: $i,SV28: $i,SV33: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV9 ) )
| ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV19 ) ) ) )
= $false )
| ( ( ~ ( ic @ SV3 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV28 @ SV33 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[448]) ).
thf(460,plain,
! [SV3: $i,SV6: $i,SV9: $i,SV15: $i,SV19: $i,SV28: $i,SV33: $i] :
( ( ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV33 )
= $true )
| ( ( ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV9 )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV19 ) )
= $true )
| ( ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
= $true )
| ( ( ~ ( ic @ SV3 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV28 @ SV33 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[449]) ).
thf(461,plain,
! [SV15: $i,SV39: $i,SV6: $i,SV19: $i,SV9: $i,SV41: $i,SV3: $i] :
( ( ( ~ ! [SY240: $i] :
( ~ ( icext @ SV3 @ SY240 )
| ( SY240 = SV41 )
| ( SY240 = SV9 )
| ( SY240 = SV19 ) ) )
= $false )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV39 @ SV41 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV39 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV39 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[450]) ).
thf(462,plain,
! [SV15: $i,SV39: $i,SV6: $i,SV19: $i,SV9: $i,SV3: $i,SV41: $i] :
( ( ( ~ ~ ( ~ ! [SY241: $i] :
( ( SY241 != SV41 )
| ( icext @ SV3 @ SY241 ) )
| ~ ~ ( ~ ! [SY179: $i] :
( ( SY179 != SV9 )
| ( icext @ SV3 @ SY179 ) )
| ~ ! [SY206: $i] :
( ( SY206 != SV19 )
| ( icext @ SV3 @ SY206 ) ) ) ) )
= $false )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV39 @ SV41 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV39 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV39 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[450]) ).
thf(463,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c2 @ sK3_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY44 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY44 @ sK4_SY51 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY51 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY51 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c3 @ sK5_SY57 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY57 @ uri_ex_w1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[451]) ).
thf(464,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK5_SY57 @ sK6_SY62 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[451]) ).
thf(465,plain,
! [SV34: $i,SV29: $i,SV4: $i,SV1: $i,SV7: $i,SV54: $i] :
( ( ( SV54 = SV7 )
= $false )
| ( ( icext @ SV1 @ SV54 )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV29 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[452]) ).
thf(466,plain,
! [SV7: $i,SV29: $i,SV4: $i,SV1: $i,SV34: $i,SV55: $i] :
( ( ( SV55 = SV34 )
= $false )
| ( ( icext @ SV1 @ SV55 )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV1 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV29 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_first @ SV4 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV4 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[453]) ).
thf(467,plain,
! [SV5: $i,SV23: $i,SV26: $i,SV8: $i,SV2: $i] :
( ( ( ic @ SV2 )
= $false )
| ( ( ~ ( ic @ SV8 ) )
= $true )
| ( ( ~ ( ic @ SV26 ) )
= $true )
| ( ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
= $false )
| ( ( icext @ SV8 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
= $false )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV23 @ SV26 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[454]) ).
thf(468,plain,
! [SV5: $i,SV23: $i,SV26: $i,SV8: $i,SV2: $i] :
( ( ( ic @ SV2 )
= $false )
| ( ( ~ ( ic @ SV8 ) )
= $true )
| ( ( ~ ( ic @ SV26 ) )
= $true )
| ( ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
= $false )
| ( ( icext @ SV26 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
= $false )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV23 @ SV26 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[455]) ).
thf(469,plain,
! [SV36: $i,SV30: $i,SV5: $i,SV2: $i,SV56: $i,SV8: $i] :
( ( ( icext @ SV8 @ SV56 )
= $false )
| ( ( icext @ SV2 @ SV56 )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[456]) ).
thf(470,plain,
! [SV8: $i,SV30: $i,SV5: $i,SV2: $i,SV57: $i,SV36: $i] :
( ( ( icext @ SV36 @ SV57 )
= $false )
| ( ( icext @ SV2 @ SV57 )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[457]) ).
thf(471,plain,
! [SV6: $i,SV9: $i,SV15: $i,SV19: $i,SV28: $i,SV33: $i,SV3: $i] :
( ( ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV33 ) )
= $true )
| ( ( ~ ( ic @ SV3 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV28 @ SV33 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[458]) ).
thf(472,plain,
! [SV6: $i,SV9: $i,SV15: $i,SV19: $i,SV28: $i,SV33: $i,SV3: $i] :
( ( ( ~ ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV9 ) )
| ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV19 ) ) ) )
= $true )
| ( ( ~ ( ic @ SV3 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV28 @ SV33 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[459]) ).
thf(473,plain,
! [SV3: $i,SV6: $i,SV9: $i,SV15: $i,SV19: $i,SV28: $i,SV33: $i] :
( ( ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV9 )
= $true )
| ( ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV19 )
= $true )
| ( ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV33 )
= $true )
| ( ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
= $true )
| ( ( ~ ( ic @ SV3 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV28 @ SV33 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[460]) ).
thf(474,plain,
! [SV15: $i,SV39: $i,SV6: $i,SV19: $i,SV9: $i,SV41: $i,SV3: $i] :
( ( ( ! [SY240: $i] :
( ~ ( icext @ SV3 @ SY240 )
| ( SY240 = SV41 )
| ( SY240 = SV9 )
| ( SY240 = SV19 ) ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV39 @ SV41 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV39 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV39 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[461]) ).
thf(475,plain,
! [SV15: $i,SV39: $i,SV6: $i,SV19: $i,SV9: $i,SV3: $i,SV41: $i] :
( ( ( ~ ( ~ ! [SY241: $i] :
( ( SY241 != SV41 )
| ( icext @ SV3 @ SY241 ) )
| ~ ~ ( ~ ! [SY179: $i] :
( ( SY179 != SV9 )
| ( icext @ SV3 @ SY179 ) )
| ~ ! [SY206: $i] :
( ( SY206 != SV19 )
| ( icext @ SV3 @ SY206 ) ) ) ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV39 @ SV41 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV39 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV39 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[462]) ).
thf(476,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c2 @ sK3_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY44 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY44 @ sK4_SY51 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY51 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY51 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c3 @ sK5_SY57 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY57 @ uri_ex_w1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[463]) ).
thf(477,plain,
( ( iext @ uri_rdf_rest @ sK5_SY57 @ sK6_SY62 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[464]) ).
thf(478,plain,
! [SV5: $i,SV23: $i,SV26: $i,SV2: $i,SV8: $i] :
( ( ( ic @ SV8 )
= $false )
| ( ( ic @ SV2 )
= $false )
| ( ( ~ ( ic @ SV26 ) )
= $true )
| ( ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
= $false )
| ( ( icext @ SV8 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
= $false )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV23 @ SV26 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[467]) ).
thf(479,plain,
! [SV5: $i,SV23: $i,SV26: $i,SV2: $i,SV8: $i] :
( ( ( ic @ SV8 )
= $false )
| ( ( ic @ SV2 )
= $false )
| ( ( ~ ( ic @ SV26 ) )
= $true )
| ( ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
= $false )
| ( ( icext @ SV26 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
= $false )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV23 @ SV26 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[468]) ).
thf(480,plain,
! [SV6: $i,SV9: $i,SV15: $i,SV19: $i,SV28: $i,SV33: $i,SV3: $i] :
( ( ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) ) )
= $true )
| ( ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV33 )
= $true )
| ( ( ~ ( ic @ SV3 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV28 @ SV33 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[471]) ).
thf(481,plain,
! [SV6: $i,SV9: $i,SV15: $i,SV19: $i,SV28: $i,SV33: $i,SV3: $i] :
( ( ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV9 ) )
| ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV19 ) ) )
= $false )
| ( ( ~ ( ic @ SV3 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV28 @ SV33 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[472]) ).
thf(482,plain,
! [SV6: $i,SV9: $i,SV15: $i,SV19: $i,SV28: $i,SV33: $i,SV3: $i] :
( ( ( ic @ SV3 )
= $false )
| ( ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
= $true )
| ( ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV33 )
= $true )
| ( ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV19 )
= $true )
| ( ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV9 )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV28 @ SV33 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[473]) ).
thf(483,plain,
! [SV15: $i,SV39: $i,SV6: $i,SV19: $i,SV9: $i,SV41: $i,SV58: $i,SV3: $i] :
( ( ( ~ ( icext @ SV3 @ SV58 )
| ( SV58 = SV41 )
| ( SV58 = SV9 )
| ( SV58 = SV19 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV39 @ SV41 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV39 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV39 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[474]) ).
thf(484,plain,
! [SV15: $i,SV39: $i,SV6: $i,SV19: $i,SV9: $i,SV3: $i,SV41: $i] :
( ( ( ~ ! [SY241: $i] :
( ( SY241 != SV41 )
| ( icext @ SV3 @ SY241 ) )
| ~ ~ ( ~ ! [SY179: $i] :
( ( SY179 != SV9 )
| ( icext @ SV3 @ SY179 ) )
| ~ ! [SY206: $i] :
( ( SY206 != SV19 )
| ( icext @ SV3 @ SY206 ) ) ) )
= $false )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV39 @ SV41 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV39 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV39 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[475]) ).
thf(485,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c2 @ sK3_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY44 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY44 @ sK4_SY51 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY51 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY51 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c3 @ sK5_SY57 ) )
| ~ ( iext @ uri_rdf_first @ sK5_SY57 @ uri_ex_w1 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[476]) ).
thf(486,plain,
! [SV5: $i,SV23: $i,SV8: $i,SV2: $i,SV26: $i] :
( ( ( ic @ SV26 )
= $false )
| ( ( ic @ SV2 )
= $false )
| ( ( ic @ SV8 )
= $false )
| ( ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
= $false )
| ( ( icext @ SV8 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
= $false )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV23 @ SV26 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[478]) ).
thf(487,plain,
! [SV5: $i,SV23: $i,SV8: $i,SV2: $i,SV26: $i] :
( ( ( ic @ SV26 )
= $false )
| ( ( ic @ SV2 )
= $false )
| ( ( ic @ SV8 )
= $false )
| ( ( icext @ SV2 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
= $false )
| ( ( icext @ SV26 @ ( sK13_X @ SV26 @ SV23 @ SV8 @ SV5 @ SV2 ) )
= $false )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV23 @ SV26 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[479]) ).
thf(488,plain,
! [SV6: $i,SV9: $i,SV15: $i,SV19: $i,SV28: $i,SV33: $i,SV3: $i] :
( ( ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
= $false )
| ( ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV33 )
= $true )
| ( ( ~ ( ic @ SV3 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV28 @ SV33 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[480]) ).
thf(489,plain,
! [SV6: $i,SV9: $i,SV15: $i,SV19: $i,SV28: $i,SV33: $i,SV3: $i] :
( ( ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV9 ) ) )
= $false )
| ( ( ~ ( ic @ SV3 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV28 @ SV33 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[481]) ).
thf(490,plain,
! [SV6: $i,SV9: $i,SV15: $i,SV19: $i,SV28: $i,SV33: $i,SV3: $i] :
( ( ( ~ ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV19 ) ) )
= $false )
| ( ( ~ ( ic @ SV3 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV28 @ SV33 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[481]) ).
thf(491,plain,
! [SV15: $i,SV39: $i,SV6: $i,SV19: $i,SV9: $i,SV41: $i,SV58: $i,SV3: $i] :
( ( ( ~ ( icext @ SV3 @ SV58 ) )
= $true )
| ( ( ( SV58 = SV41 )
| ( SV58 = SV9 )
| ( SV58 = SV19 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV39 @ SV41 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV39 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV39 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[483]) ).
thf(492,plain,
! [SV9: $i,SV19: $i,SV15: $i,SV39: $i,SV6: $i,SV3: $i,SV41: $i] :
( ( ( ~ ! [SY241: $i] :
( ( SY241 != SV41 )
| ( icext @ SV3 @ SY241 ) ) )
= $false )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV39 @ SV41 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV39 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV39 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[484]) ).
thf(493,plain,
! [SV15: $i,SV41: $i,SV39: $i,SV6: $i,SV19: $i,SV3: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ! [SY179: $i] :
( ( SY179 != SV9 )
| ( icext @ SV3 @ SY179 ) )
| ~ ! [SY206: $i] :
( ( SY206 != SV19 )
| ( icext @ SV3 @ SY206 ) ) ) )
= $false )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV39 @ SV41 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV39 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV39 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[484]) ).
thf(494,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c2 @ sK3_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY44 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY44 @ sK4_SY51 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY51 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY51 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c3 @ sK5_SY57 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[485]) ).
thf(495,plain,
( ( ~ ( iext @ uri_rdf_first @ sK5_SY57 @ uri_ex_w1 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[485]) ).
thf(496,plain,
! [SV3: $i,SV6: $i,SV9: $i,SV15: $i,SV19: $i,SV28: $i,SV33: $i] :
( ( ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV33 )
= $false )
| ( ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
= $false )
| ( ( ~ ( ic @ SV3 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV28 @ SV33 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[488]) ).
thf(497,plain,
! [SV6: $i,SV9: $i,SV15: $i,SV19: $i,SV28: $i,SV33: $i,SV3: $i] :
( ( ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV9 ) )
= $true )
| ( ( ~ ( ic @ SV3 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV28 @ SV33 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[489]) ).
thf(498,plain,
! [SV6: $i,SV9: $i,SV15: $i,SV19: $i,SV28: $i,SV33: $i,SV3: $i] :
( ( ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
| ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV19 ) )
= $true )
| ( ( ~ ( ic @ SV3 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV28 @ SV33 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[490]) ).
thf(499,plain,
! [SV15: $i,SV39: $i,SV6: $i,SV19: $i,SV9: $i,SV41: $i,SV58: $i,SV3: $i] :
( ( ( icext @ SV3 @ SV58 )
= $false )
| ( ( ( SV58 = SV41 )
| ( SV58 = SV9 )
| ( SV58 = SV19 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV39 @ SV41 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV39 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV39 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[491]) ).
thf(500,plain,
! [SV9: $i,SV19: $i,SV15: $i,SV39: $i,SV6: $i,SV3: $i,SV41: $i] :
( ( ( ! [SY241: $i] :
( ( SY241 != SV41 )
| ( icext @ SV3 @ SY241 ) ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV39 @ SV41 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV39 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV39 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[492]) ).
thf(501,plain,
! [SV15: $i,SV41: $i,SV39: $i,SV6: $i,SV19: $i,SV3: $i,SV9: $i] :
( ( ( ~ ( ~ ! [SY179: $i] :
( ( SY179 != SV9 )
| ( icext @ SV3 @ SY179 ) )
| ~ ! [SY206: $i] :
( ( SY206 != SV19 )
| ( icext @ SV3 @ SY206 ) ) ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV39 @ SV41 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV39 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV39 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[493]) ).
thf(502,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c2 @ sK3_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY44 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY44 @ sK4_SY51 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY51 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY51 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c3 @ sK5_SY57 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[494]) ).
thf(503,plain,
( ( iext @ uri_rdf_first @ sK5_SY57 @ uri_ex_w1 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[495]) ).
thf(504,plain,
! [SV6: $i,SV9: $i,SV15: $i,SV19: $i,SV28: $i,SV33: $i,SV3: $i] :
( ( ( ic @ SV3 )
= $false )
| ( ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
= $false )
| ( ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV33 )
= $false )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV28 @ SV33 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[496]) ).
thf(505,plain,
! [SV6: $i,SV9: $i,SV15: $i,SV19: $i,SV28: $i,SV33: $i,SV3: $i] :
( ( ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) ) )
= $true )
| ( ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV9 )
= $true )
| ( ( ~ ( ic @ SV3 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV28 @ SV33 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[497]) ).
thf(506,plain,
! [SV6: $i,SV9: $i,SV15: $i,SV19: $i,SV28: $i,SV33: $i,SV3: $i] :
( ( ( ~ ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) ) )
= $true )
| ( ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV19 )
= $true )
| ( ( ~ ( ic @ SV3 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV28 @ SV33 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[498]) ).
thf(507,plain,
! [SV15: $i,SV39: $i,SV6: $i,SV3: $i,SV19: $i,SV9: $i,SV41: $i,SV58: $i] :
( ( ( SV58 = SV41 )
= $true )
| ( ( ( SV58 = SV9 )
| ( SV58 = SV19 ) )
= $true )
| ( ( icext @ SV3 @ SV58 )
= $false )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV39 @ SV41 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV39 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV39 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[499]) ).
thf(508,plain,
! [SV9: $i,SV19: $i,SV15: $i,SV39: $i,SV6: $i,SV3: $i,SV41: $i,SV59: $i] :
( ( ( ( SV59 != SV41 )
| ( icext @ SV3 @ SV59 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV39 @ SV41 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV39 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV39 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[500]) ).
thf(509,plain,
! [SV15: $i,SV41: $i,SV39: $i,SV6: $i,SV19: $i,SV3: $i,SV9: $i] :
( ( ( ~ ! [SY179: $i] :
( ( SY179 != SV9 )
| ( icext @ SV3 @ SY179 ) )
| ~ ! [SY206: $i] :
( ( SY206 != SV19 )
| ( icext @ SV3 @ SY206 ) ) )
= $false )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV39 @ SV41 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV39 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV39 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[501]) ).
thf(510,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c2 @ sK3_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY44 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY44 @ sK4_SY51 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY51 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY51 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c3 @ sK5_SY57 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[502]) ).
thf(511,plain,
! [SV6: $i,SV9: $i,SV15: $i,SV19: $i,SV28: $i,SV33: $i,SV3: $i] :
( ( ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
= $false )
| ( ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV9 )
= $true )
| ( ( ~ ( ic @ SV3 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV28 @ SV33 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[505]) ).
thf(512,plain,
! [SV6: $i,SV9: $i,SV15: $i,SV19: $i,SV28: $i,SV33: $i,SV3: $i] :
( ( ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
= $false )
| ( ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
!= SV19 )
= $true )
| ( ( ~ ( ic @ SV3 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV28 @ SV33 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[506]) ).
thf(513,plain,
! [SV15: $i,SV39: $i,SV6: $i,SV3: $i,SV41: $i,SV19: $i,SV9: $i,SV58: $i] :
( ( ( SV58 = SV9 )
= $true )
| ( ( SV58 = SV19 )
= $true )
| ( ( SV58 = SV41 )
= $true )
| ( ( icext @ SV3 @ SV58 )
= $false )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV39 @ SV41 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV39 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV39 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[507]) ).
thf(514,plain,
! [SV9: $i,SV19: $i,SV15: $i,SV39: $i,SV6: $i,SV3: $i,SV41: $i,SV59: $i] :
( ( ( SV59 != SV41 )
= $true )
| ( ( icext @ SV3 @ SV59 )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV39 @ SV41 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV39 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV39 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[508]) ).
thf(515,plain,
! [SV19: $i,SV15: $i,SV41: $i,SV39: $i,SV6: $i,SV3: $i,SV9: $i] :
( ( ( ~ ! [SY179: $i] :
( ( SY179 != SV9 )
| ( icext @ SV3 @ SY179 ) ) )
= $false )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV39 @ SV41 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV39 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV39 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[509]) ).
thf(516,plain,
! [SV9: $i,SV15: $i,SV41: $i,SV39: $i,SV6: $i,SV3: $i,SV19: $i] :
( ( ( ~ ! [SY206: $i] :
( ( SY206 != SV19 )
| ( icext @ SV3 @ SY206 ) ) )
= $false )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV39 @ SV41 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV39 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV39 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[509]) ).
thf(517,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c2 @ sK3_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY44 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY44 @ sK4_SY51 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY51 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY51 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[510]) ).
thf(518,plain,
( ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c3 @ sK5_SY57 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[510]) ).
thf(519,plain,
! [SV3: $i,SV6: $i,SV9: $i,SV15: $i,SV19: $i,SV28: $i,SV33: $i] :
( ( ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV9 )
= $false )
| ( ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
= $false )
| ( ( ~ ( ic @ SV3 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV28 @ SV33 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[511]) ).
thf(520,plain,
! [SV3: $i,SV6: $i,SV9: $i,SV15: $i,SV19: $i,SV28: $i,SV33: $i] :
( ( ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV19 )
= $false )
| ( ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
= $false )
| ( ( ~ ( ic @ SV3 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV28 @ SV33 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[512]) ).
thf(521,plain,
! [SV9: $i,SV19: $i,SV15: $i,SV39: $i,SV6: $i,SV3: $i,SV41: $i,SV59: $i] :
( ( ( SV59 = SV41 )
= $false )
| ( ( icext @ SV3 @ SV59 )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV39 @ SV41 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV39 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV39 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[514]) ).
thf(522,plain,
! [SV19: $i,SV15: $i,SV41: $i,SV39: $i,SV6: $i,SV3: $i,SV9: $i] :
( ( ( ! [SY179: $i] :
( ( SY179 != SV9 )
| ( icext @ SV3 @ SY179 ) ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV39 @ SV41 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV39 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV39 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[515]) ).
thf(523,plain,
! [SV9: $i,SV15: $i,SV41: $i,SV39: $i,SV6: $i,SV3: $i,SV19: $i] :
( ( ( ! [SY206: $i] :
( ( SY206 != SV19 )
| ( icext @ SV3 @ SY206 ) ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV39 @ SV41 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV39 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV39 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[516]) ).
thf(524,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c2 @ sK3_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY44 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY44 @ sK4_SY51 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY51 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY51 @ uri_rdf_nil ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[517]) ).
thf(525,plain,
( ( iext @ uri_owl_oneOf @ uri_ex_c3 @ sK5_SY57 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[518]) ).
thf(526,plain,
! [SV6: $i,SV9: $i,SV15: $i,SV19: $i,SV28: $i,SV33: $i,SV3: $i] :
( ( ( ic @ SV3 )
= $false )
| ( ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
= $false )
| ( ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV9 )
= $false )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV28 @ SV33 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[519]) ).
thf(527,plain,
! [SV6: $i,SV9: $i,SV15: $i,SV19: $i,SV28: $i,SV33: $i,SV3: $i] :
( ( ( ic @ SV3 )
= $false )
| ( ( icext @ SV3 @ ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 ) )
= $false )
| ( ( ( sK11_X @ SV33 @ SV28 @ SV19 @ SV15 @ SV9 @ SV6 @ SV3 )
= SV19 )
= $false )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV28 @ SV33 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV28 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[520]) ).
thf(528,plain,
! [SV19: $i,SV15: $i,SV41: $i,SV39: $i,SV6: $i,SV3: $i,SV9: $i,SV60: $i] :
( ( ( ( SV60 != SV9 )
| ( icext @ SV3 @ SV60 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV39 @ SV41 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV39 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV39 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[522]) ).
thf(529,plain,
! [SV9: $i,SV15: $i,SV41: $i,SV39: $i,SV6: $i,SV3: $i,SV19: $i,SV61: $i] :
( ( ( ( SV61 != SV19 )
| ( icext @ SV3 @ SV61 ) )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV39 @ SV41 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV39 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV39 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[523]) ).
thf(530,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c2 @ sK3_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY44 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY44 @ sK4_SY51 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY51 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY51 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[524]) ).
thf(531,plain,
! [SV19: $i,SV15: $i,SV41: $i,SV39: $i,SV6: $i,SV3: $i,SV9: $i,SV60: $i] :
( ( ( SV60 != SV9 )
= $true )
| ( ( icext @ SV3 @ SV60 )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV39 @ SV41 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV39 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV39 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[528]) ).
thf(532,plain,
! [SV9: $i,SV15: $i,SV41: $i,SV39: $i,SV6: $i,SV3: $i,SV19: $i,SV61: $i] :
( ( ( SV61 != SV19 )
= $true )
| ( ( icext @ SV3 @ SV61 )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV39 @ SV41 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV39 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV39 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[529]) ).
thf(533,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c2 @ sK3_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY44 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY44 @ sK4_SY51 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY51 @ uri_ex_w3 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[530]) ).
thf(534,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK4_SY51 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[530]) ).
thf(535,plain,
! [SV19: $i,SV15: $i,SV41: $i,SV39: $i,SV6: $i,SV3: $i,SV9: $i,SV60: $i] :
( ( ( SV60 = SV9 )
= $false )
| ( ( icext @ SV3 @ SV60 )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV39 @ SV41 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV39 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV39 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[531]) ).
thf(536,plain,
! [SV9: $i,SV15: $i,SV41: $i,SV39: $i,SV6: $i,SV3: $i,SV19: $i,SV61: $i] :
( ( ( SV61 = SV19 )
= $false )
| ( ( icext @ SV3 @ SV61 )
= $true )
| ( ( iext @ uri_owl_oneOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV39 @ SV41 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV19 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ SV39 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV39 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[532]) ).
thf(537,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c2 @ sK3_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY44 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY44 @ sK4_SY51 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY51 @ uri_ex_w3 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[533]) ).
thf(538,plain,
( ( iext @ uri_rdf_rest @ sK4_SY51 @ uri_rdf_nil )
= $true ),
inference(extcnf_not_neg,[status(thm)],[534]) ).
thf(539,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c2 @ sK3_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY44 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY44 @ sK4_SY51 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY51 @ uri_ex_w3 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[537]) ).
thf(540,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c2 @ sK3_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY44 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY44 @ sK4_SY51 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[539]) ).
thf(541,plain,
( ( ~ ( iext @ uri_rdf_first @ sK4_SY51 @ uri_ex_w3 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[539]) ).
thf(542,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c2 @ sK3_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY44 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY44 @ sK4_SY51 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[540]) ).
thf(543,plain,
( ( iext @ uri_rdf_first @ sK4_SY51 @ uri_ex_w3 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[541]) ).
thf(544,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c2 @ sK3_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY44 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY44 @ sK4_SY51 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[542]) ).
thf(545,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c2 @ sK3_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY44 @ uri_ex_w2 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[544]) ).
thf(546,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK3_SY44 @ sK4_SY51 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[544]) ).
thf(547,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c2 @ sK3_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY44 @ uri_ex_w2 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[545]) ).
thf(548,plain,
( ( iext @ uri_rdf_rest @ sK3_SY44 @ sK4_SY51 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[546]) ).
thf(549,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c2 @ sK3_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY44 @ uri_ex_w2 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[547]) ).
thf(550,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c2 @ sK3_SY44 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[549]) ).
thf(551,plain,
( ( ~ ( iext @ uri_rdf_first @ sK3_SY44 @ uri_ex_w2 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[549]) ).
thf(552,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c2 @ sK3_SY44 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[550]) ).
thf(553,plain,
( ( iext @ uri_rdf_first @ sK3_SY44 @ uri_ex_w2 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[551]) ).
thf(554,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_oneOf @ uri_ex_c2 @ sK3_SY44 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[552]) ).
thf(555,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[554]) ).
thf(556,plain,
( ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c2 @ sK3_SY44 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[554]) ).
thf(557,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[555]) ).
thf(558,plain,
( ( iext @ uri_owl_oneOf @ uri_ex_c2 @ sK3_SY44 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[556]) ).
thf(559,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[557]) ).
thf(560,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[559]) ).
thf(561,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[559]) ).
thf(562,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[560]) ).
thf(563,plain,
( ( iext @ uri_rdf_rest @ sK2_SY36 @ uri_rdf_nil )
= $true ),
inference(extcnf_not_neg,[status(thm)],[561]) ).
thf(564,plain,
( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[562]) ).
thf(565,plain,
( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[564]) ).
thf(566,plain,
( ( ~ ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[564]) ).
thf(567,plain,
( ( ~ ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[565]) ).
thf(568,plain,
( ( iext @ uri_rdf_first @ sK2_SY36 @ uri_ex_w2 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[566]) ).
thf(569,plain,
( ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[567]) ).
thf(570,plain,
( ( ~ ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[569]) ).
thf(571,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[569]) ).
thf(572,plain,
( ( ~ ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[570]) ).
thf(573,plain,
( ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY36 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[571]) ).
thf(574,plain,
( ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[572]) ).
thf(575,plain,
( ( ~ ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[574]) ).
thf(576,plain,
( ( ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[574]) ).
thf(577,plain,
( ( iext @ uri_owl_oneOf @ uri_ex_c1 @ sK1_BNODE_l11 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[575]) ).
thf(578,plain,
( ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_w1 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[576]) ).
thf(579,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[41,578,577,573,568,563,558,553,548,543,538,536,535,527,526,525,521,513,504,503,487,486,482,477,470,469,466,465,445,444,439,438,437,436,434,430,429,383,378,368,334,323,292,262,261,260,251,228,214,213,201,151,119,118,112,111,108,70]) ).
thf(580,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[579]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB021+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.19 % Computer : n005.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Oct 6 15:52:14 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 184.21/31.09
% 184.21/31.09 No.of.Axioms: 7
% 184.21/31.09
% 184.21/31.09 Length.of.Defs: 0
% 184.21/31.09
% 184.21/31.09 Contains.Choice.Funs: false
% 184.21/31.09 ..........................................
% 184.21/31.09
% 184.21/31.09 ********************************
% 184.21/31.09 * All subproblems solved! *
% 184.21/31.09 ********************************
% 184.21/31.09 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:7,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:579,loop_count:0,foatp_calls:1,translation:fof_experiment)
% 184.21/31.09
% 184.21/31.09 %**** Beginning of derivation protocol ****
% 184.21/31.09 % SZS output start CNFRefutation
% See solution above
% 184.21/31.10
% 184.21/31.10 %**** End of derivation protocol ****
% 184.21/31.10 %**** no. of clauses in derivation: 580 ****
% 184.21/31.10 %**** clause counter: 579 ****
% 184.21/31.10
% 184.21/31.10 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:7,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:579,loop_count:0,foatp_calls:1,translation:fof_experiment)
%------------------------------------------------------------------------------