TSTP Solution File: SWB014+2 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SWB014+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 19:13:16 EDT 2022
% Result : Theorem 0.39s 0.58s
% Output : CNFRefutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 20
% Syntax : Number of formulae : 227 ( 93 unt; 16 typ; 0 def)
% Number of atoms : 3397 ( 766 equ; 0 cnn)
% Maximal formula atoms : 11 ( 16 avg)
% Number of connectives : 8975 (1563 ~;1584 |; 62 &;5758 @)
% ( 6 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 16 usr; 14 con; 0-5 aty)
% Number of variables : 956 ( 0 ^ 946 !; 10 ?; 956 :)
% 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_sK1_BNODE_u,type,
sK1_BNODE_u: $i ).
thf(tp_sK2_SY12,type,
sK2_SY12: $i ).
thf(tp_sK3_SY14,type,
sK3_SY14: $i ).
thf(tp_sK4_X,type,
sK4_X: $i > $i > $i > $i > $i > $i ).
thf(tp_uri_ex_Eagle,type,
uri_ex_Eagle: $i ).
thf(tp_uri_ex_Falcon,type,
uri_ex_Falcon: $i ).
thf(tp_uri_ex_Species,type,
uri_ex_Species: $i ).
thf(tp_uri_ex_harry,type,
uri_ex_harry: $i ).
thf(tp_uri_owl_unionOf,type,
uri_owl_unionOf: $i ).
thf(tp_uri_rdf_first,type,
uri_rdf_first: $i ).
thf(tp_uri_rdf_nil,type,
uri_rdf_nil: $i ).
thf(tp_uri_rdf_rest,type,
uri_rdf_rest: $i ).
thf(tp_uri_rdf_type,type,
uri_rdf_type: $i ).
thf(1,axiom,
? [BNODE_u: $i,BNODE_l1: $i,BNODE_l2: $i] :
( ( iext @ uri_rdf_type @ uri_ex_Eagle @ uri_ex_Species )
& ( iext @ uri_rdf_type @ uri_ex_Falcon @ uri_ex_Species )
& ( iext @ uri_rdf_type @ uri_ex_harry @ BNODE_u )
& ( iext @ uri_owl_unionOf @ BNODE_u @ BNODE_l1 )
& ( iext @ uri_rdf_first @ BNODE_l1 @ uri_ex_Eagle )
& ( iext @ uri_rdf_rest @ BNODE_l1 @ BNODE_l2 )
& ( iext @ uri_rdf_first @ BNODE_l2 @ uri_ex_Falcon )
& ( iext @ uri_rdf_rest @ BNODE_l2 @ uri_rdf_nil ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_014_Harry_belongs_to_some_Species) ).
thf(2,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(3,axiom,
! [X: $i,C: $i] :
( ( iext @ uri_rdf_type @ X @ C )
<=> ( icext @ C @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).
thf(4,conjecture,
? [BNODE_x: $i] :
( ( iext @ uri_rdf_type @ uri_ex_harry @ BNODE_x )
& ( iext @ uri_rdf_type @ BNODE_x @ uri_ex_Species ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_014_Harry_belongs_to_some_Species) ).
thf(5,negated_conjecture,
( ( ? [BNODE_x: $i] :
( ( iext @ uri_rdf_type @ uri_ex_harry @ BNODE_x )
& ( iext @ uri_rdf_type @ BNODE_x @ uri_ex_Species ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[4]) ).
thf(6,plain,
( ( ? [BNODE_x: $i] :
( ( iext @ uri_rdf_type @ uri_ex_harry @ BNODE_x )
& ( iext @ uri_rdf_type @ BNODE_x @ uri_ex_Species ) ) )
= $false ),
inference(unfold_def,[status(thm)],[5]) ).
thf(7,plain,
( ( ? [BNODE_u: $i,BNODE_l1: $i,BNODE_l2: $i] :
( ( iext @ uri_rdf_type @ uri_ex_Eagle @ uri_ex_Species )
& ( iext @ uri_rdf_type @ uri_ex_Falcon @ uri_ex_Species )
& ( iext @ uri_rdf_type @ uri_ex_harry @ BNODE_u )
& ( iext @ uri_owl_unionOf @ BNODE_u @ BNODE_l1 )
& ( iext @ uri_rdf_first @ BNODE_l1 @ uri_ex_Eagle )
& ( iext @ uri_rdf_rest @ BNODE_l1 @ BNODE_l2 )
& ( iext @ uri_rdf_first @ BNODE_l2 @ uri_ex_Falcon )
& ( iext @ uri_rdf_rest @ BNODE_l2 @ uri_rdf_nil ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(8,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)],[2]) ).
thf(9,plain,
( ( ! [X: $i,C: $i] :
( ( iext @ uri_rdf_type @ X @ C )
<=> ( icext @ C @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(10,plain,
( ( ~ ? [BNODE_x: $i] :
( ( iext @ uri_rdf_type @ uri_ex_harry @ BNODE_x )
& ( iext @ uri_rdf_type @ BNODE_x @ uri_ex_Species ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[6]) ).
thf(11,plain,
( ( ! [BNODE_x: $i] :
( ~ ( iext @ uri_rdf_type @ uri_ex_harry @ BNODE_x )
| ~ ( iext @ uri_rdf_type @ BNODE_x @ uri_ex_Species ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[10]) ).
thf(12,plain,
( ( ( iext @ uri_rdf_type @ uri_ex_Eagle @ uri_ex_Species )
& ( iext @ uri_rdf_type @ uri_ex_Falcon @ uri_ex_Species )
& ( iext @ uri_rdf_type @ uri_ex_harry @ sK1_BNODE_u )
& ( iext @ uri_owl_unionOf @ sK1_BNODE_u @ sK2_SY12 )
& ( iext @ uri_rdf_first @ sK2_SY12 @ uri_ex_Eagle )
& ( iext @ uri_rdf_rest @ sK2_SY12 @ sK3_SY14 )
& ( iext @ uri_rdf_first @ sK3_SY14 @ uri_ex_Falcon )
& ( iext @ uri_rdf_rest @ sK3_SY14 @ uri_rdf_nil ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(13,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 @ ( sK4_X @ C2 @ S2 @ C1 @ S1 @ Z ) )
| ~ ( icext @ C1 @ ( sK4_X @ C2 @ S2 @ C1 @ S1 @ Z ) ) )
& ( ~ ( icext @ Z @ ( sK4_X @ C2 @ S2 @ C1 @ S1 @ Z ) )
| ~ ( icext @ C2 @ ( sK4_X @ C2 @ S2 @ C1 @ S1 @ Z ) ) )
& ( ( icext @ Z @ ( sK4_X @ C2 @ S2 @ C1 @ S1 @ Z ) )
| ( icext @ C1 @ ( sK4_X @ C2 @ S2 @ C1 @ S1 @ Z ) )
| ( icext @ C2 @ ( sK4_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)],[8]) ).
thf(14,plain,
( ( ! [X: $i,C: $i] :
( ~ ( icext @ C @ X )
| ( iext @ uri_rdf_type @ X @ C ) )
& ! [X: $i,C: $i] :
( ~ ( iext @ uri_rdf_type @ X @ C )
| ( icext @ C @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[9]) ).
thf(15,plain,
( ( ! [X: $i,C: $i] :
( ~ ( icext @ C @ X )
| ( iext @ uri_rdf_type @ X @ C ) )
& ! [X: $i,C: $i] :
( ~ ( iext @ uri_rdf_type @ X @ C )
| ( icext @ C @ X ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(16,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 @ ( sK4_X @ C2 @ S2 @ C1 @ S1 @ Z ) )
| ~ ( icext @ C1 @ ( sK4_X @ C2 @ S2 @ C1 @ S1 @ Z ) ) )
& ( ~ ( icext @ Z @ ( sK4_X @ C2 @ S2 @ C1 @ S1 @ Z ) )
| ~ ( icext @ C2 @ ( sK4_X @ C2 @ S2 @ C1 @ S1 @ Z ) ) )
& ( ( icext @ Z @ ( sK4_X @ C2 @ S2 @ C1 @ S1 @ Z ) )
| ( icext @ C1 @ ( sK4_X @ C2 @ S2 @ C1 @ S1 @ Z ) )
| ( icext @ C2 @ ( sK4_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)],[13]) ).
thf(17,plain,
( ( ( iext @ uri_rdf_type @ uri_ex_Eagle @ uri_ex_Species )
& ( iext @ uri_rdf_type @ uri_ex_Falcon @ uri_ex_Species )
& ( iext @ uri_rdf_type @ uri_ex_harry @ sK1_BNODE_u )
& ( iext @ uri_owl_unionOf @ sK1_BNODE_u @ sK2_SY12 )
& ( iext @ uri_rdf_first @ sK2_SY12 @ uri_ex_Eagle )
& ( iext @ uri_rdf_rest @ sK2_SY12 @ sK3_SY14 )
& ( iext @ uri_rdf_first @ sK3_SY14 @ uri_ex_Falcon )
& ( iext @ uri_rdf_rest @ sK3_SY14 @ uri_rdf_nil ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(18,plain,
( ( ! [BNODE_x: $i] :
( ~ ( iext @ uri_rdf_type @ uri_ex_harry @ BNODE_x )
| ~ ( iext @ uri_rdf_type @ BNODE_x @ uri_ex_Species ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(19,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( icext @ SX1 @ SX0 )
| ( iext @ uri_rdf_type @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
| ( icext @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(20,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 @ ( sK4_X @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ~ ( icext @ SX2 @ ( sK4_X @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( icext @ SX0 @ ( sK4_X @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ~ ( icext @ SX4 @ ( sK4_X @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ( ( icext @ SX0 @ ( sK4_X @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ( icext @ SX2 @ ( sK4_X @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ( icext @ SX4 @ ( sK4_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)],[16]) ).
thf(21,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_Eagle @ uri_ex_Species )
| ~ ( iext @ uri_rdf_type @ uri_ex_Falcon @ uri_ex_Species ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_harry @ sK1_BNODE_u ) )
| ~ ( iext @ uri_owl_unionOf @ sK1_BNODE_u @ sK2_SY12 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY12 @ uri_ex_Eagle ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY12 @ sK3_SY14 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY14 @ uri_ex_Falcon ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY14 @ uri_rdf_nil ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(22,plain,
! [SV1: $i] :
( ( ~ ( iext @ uri_rdf_type @ uri_ex_harry @ SV1 )
| ~ ( iext @ uri_rdf_type @ SV1 @ uri_ex_Species ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(23,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( icext @ SX1 @ SX0 )
| ( iext @ uri_rdf_type @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
| ( icext @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(24,plain,
! [SV2: $i] :
( ( ! [SY15: $i,SY16: $i] :
~ ( ~ ! [SY17: $i,SY18: $i] :
( ~ ( iext @ uri_rdf_first @ SY15 @ SY16 )
| ~ ( iext @ uri_rdf_rest @ SY15 @ SY17 )
| ~ ( iext @ uri_rdf_first @ SY17 @ SY18 )
| ~ ( iext @ uri_rdf_rest @ SY17 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( ~ ( icext @ SV2 @ ( sK4_X @ SY18 @ SY17 @ SY16 @ SY15 @ SV2 ) )
| ~ ( icext @ SY16 @ ( sK4_X @ SY18 @ SY17 @ SY16 @ SY15 @ SV2 ) ) )
| ~ ( ~ ( icext @ SV2 @ ( sK4_X @ SY18 @ SY17 @ SY16 @ SY15 @ SV2 ) )
| ~ ( icext @ SY18 @ ( sK4_X @ SY18 @ SY17 @ SY16 @ SY15 @ SV2 ) ) ) )
| ~ ( ( icext @ SV2 @ ( sK4_X @ SY18 @ SY17 @ SY16 @ SY15 @ SV2 ) )
| ( icext @ SY16 @ ( sK4_X @ SY18 @ SY17 @ SY16 @ SY15 @ SV2 ) )
| ( icext @ SY18 @ ( sK4_X @ SY18 @ SY17 @ SY16 @ SY15 @ SV2 ) ) ) )
| ~ ( ic @ SV2 )
| ~ ( ic @ SY16 )
| ~ ( ic @ SY18 )
| ( iext @ uri_owl_unionOf @ SV2 @ SY15 ) )
| ~ ~ ( ~ ! [SY19: $i,SY20: $i] :
( ~ ( iext @ uri_rdf_first @ SY15 @ SY16 )
| ~ ( iext @ uri_rdf_rest @ SY15 @ SY19 )
| ~ ( iext @ uri_rdf_first @ SY19 @ SY20 )
| ~ ( iext @ uri_rdf_rest @ SY19 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SY15 )
| ~ ( ~ ! [SY21: $i] :
( ~ ( icext @ SV2 @ SY21 )
| ( icext @ SY16 @ SY21 )
| ( icext @ SY20 @ SY21 ) )
| ~ ~ ( ~ ! [SY22: $i] :
( ~ ( icext @ SY16 @ SY22 )
| ( icext @ SV2 @ SY22 ) )
| ~ ! [SY23: $i] :
( ~ ( icext @ SY20 @ SY23 )
| ( icext @ SV2 @ SY23 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX3: $i] :
( ~ ( iext @ uri_rdf_first @ SY15 @ SY16 )
| ~ ( iext @ uri_rdf_rest @ SY15 @ SX3 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SX3 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SX3 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SY15 )
| ( ic @ SV2 ) )
| ~ ( ! [SX3: $i] :
( ~ ( iext @ uri_rdf_first @ SY15 @ SY16 )
| ~ ( iext @ uri_rdf_rest @ SY15 @ SX3 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SX3 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SX3 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SY15 )
| ( ic @ SY16 ) ) )
| ~ ! [SY28: $i,SY29: $i] :
( ~ ( iext @ uri_rdf_first @ SY15 @ SY16 )
| ~ ( iext @ uri_rdf_rest @ SY15 @ SY28 )
| ~ ( iext @ uri_rdf_first @ SY28 @ SY29 )
| ~ ( iext @ uri_rdf_rest @ SY28 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SY15 )
| ( ic @ SY29 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[20]) ).
thf(25,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_Eagle @ uri_ex_Species )
| ~ ( iext @ uri_rdf_type @ uri_ex_Falcon @ uri_ex_Species ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_harry @ sK1_BNODE_u ) )
| ~ ( iext @ uri_owl_unionOf @ sK1_BNODE_u @ sK2_SY12 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY12 @ uri_ex_Eagle ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY12 @ sK3_SY14 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY14 @ uri_ex_Falcon ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY14 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[21]) ).
thf(26,plain,
! [SV1: $i] :
( ( ( ~ ( iext @ uri_rdf_type @ uri_ex_harry @ SV1 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_type @ SV1 @ uri_ex_Species ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[22]) ).
thf(27,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( icext @ SX1 @ SX0 )
| ( iext @ uri_rdf_type @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[23]) ).
thf(28,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
| ( icext @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[23]) ).
thf(29,plain,
! [SV2: $i,SV3: $i] :
( ( ! [SY30: $i] :
~ ( ~ ! [SY31: $i,SY32: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SY30 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SY31 )
| ~ ( iext @ uri_rdf_first @ SY31 @ SY32 )
| ~ ( iext @ uri_rdf_rest @ SY31 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( ~ ( icext @ SV2 @ ( sK4_X @ SY32 @ SY31 @ SY30 @ SV3 @ SV2 ) )
| ~ ( icext @ SY30 @ ( sK4_X @ SY32 @ SY31 @ SY30 @ SV3 @ SV2 ) ) )
| ~ ( ~ ( icext @ SV2 @ ( sK4_X @ SY32 @ SY31 @ SY30 @ SV3 @ SV2 ) )
| ~ ( icext @ SY32 @ ( sK4_X @ SY32 @ SY31 @ SY30 @ SV3 @ SV2 ) ) ) )
| ~ ( ( icext @ SV2 @ ( sK4_X @ SY32 @ SY31 @ SY30 @ SV3 @ SV2 ) )
| ( icext @ SY30 @ ( sK4_X @ SY32 @ SY31 @ SY30 @ SV3 @ SV2 ) )
| ( icext @ SY32 @ ( sK4_X @ SY32 @ SY31 @ SY30 @ SV3 @ SV2 ) ) ) )
| ~ ( ic @ SV2 )
| ~ ( ic @ SY30 )
| ~ ( ic @ SY32 )
| ( iext @ uri_owl_unionOf @ SV2 @ SV3 ) )
| ~ ~ ( ~ ! [SY33: $i,SY34: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SY30 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SY33 )
| ~ ( iext @ uri_rdf_first @ SY33 @ SY34 )
| ~ ( iext @ uri_rdf_rest @ SY33 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ~ ( ~ ! [SY21: $i] :
( ~ ( icext @ SV2 @ SY21 )
| ( icext @ SY30 @ SY21 )
| ( icext @ SY34 @ SY21 ) )
| ~ ~ ( ~ ! [SY22: $i] :
( ~ ( icext @ SY30 @ SY22 )
| ( icext @ SV2 @ SY22 ) )
| ~ ! [SY23: $i] :
( ~ ( icext @ SY34 @ SY23 )
| ( icext @ SV2 @ SY23 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SY38: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SY30 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SY38 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY38 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY38 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV2 ) )
| ~ ( ! [SY40: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SY30 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SY40 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY40 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY40 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SY30 ) ) )
| ~ ! [SY42: $i,SY43: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SY30 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SY42 )
| ~ ( iext @ uri_rdf_first @ SY42 @ SY43 )
| ~ ( iext @ uri_rdf_rest @ SY42 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SY43 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[24]) ).
thf(30,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_Eagle @ uri_ex_Species )
| ~ ( iext @ uri_rdf_type @ uri_ex_Falcon @ uri_ex_Species ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_harry @ sK1_BNODE_u ) )
| ~ ( iext @ uri_owl_unionOf @ sK1_BNODE_u @ sK2_SY12 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY12 @ uri_ex_Eagle ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY12 @ sK3_SY14 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY14 @ uri_ex_Falcon ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[25]) ).
thf(31,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK3_SY14 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[25]) ).
thf(32,plain,
! [SV1: $i] :
( ( ( iext @ uri_rdf_type @ uri_ex_harry @ SV1 )
= $false )
| ( ( ~ ( iext @ uri_rdf_type @ SV1 @ uri_ex_Species ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(33,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( icext @ SX1 @ SX0 )
| ( iext @ uri_rdf_type @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[27]) ).
thf(34,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
| ( icext @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(35,plain,
! [SV2: $i,SV4: $i,SV3: $i] :
( ( ~ ( ~ ! [SY44: $i,SY45: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SY44 )
| ~ ( iext @ uri_rdf_first @ SY44 @ SY45 )
| ~ ( iext @ uri_rdf_rest @ SY44 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( ~ ( icext @ SV2 @ ( sK4_X @ SY45 @ SY44 @ SV4 @ SV3 @ SV2 ) )
| ~ ( icext @ SV4 @ ( sK4_X @ SY45 @ SY44 @ SV4 @ SV3 @ SV2 ) ) )
| ~ ( ~ ( icext @ SV2 @ ( sK4_X @ SY45 @ SY44 @ SV4 @ SV3 @ SV2 ) )
| ~ ( icext @ SY45 @ ( sK4_X @ SY45 @ SY44 @ SV4 @ SV3 @ SV2 ) ) ) )
| ~ ( ( icext @ SV2 @ ( sK4_X @ SY45 @ SY44 @ SV4 @ SV3 @ SV2 ) )
| ( icext @ SV4 @ ( sK4_X @ SY45 @ SY44 @ SV4 @ SV3 @ SV2 ) )
| ( icext @ SY45 @ ( sK4_X @ SY45 @ SY44 @ SV4 @ SV3 @ SV2 ) ) ) )
| ~ ( ic @ SV2 )
| ~ ( ic @ SV4 )
| ~ ( ic @ SY45 )
| ( iext @ uri_owl_unionOf @ SV2 @ SV3 ) )
| ~ ~ ( ~ ! [SY46: $i,SY47: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SY46 )
| ~ ( iext @ uri_rdf_first @ SY46 @ SY47 )
| ~ ( iext @ uri_rdf_rest @ SY46 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ~ ( ~ ! [SY48: $i] :
( ~ ( icext @ SV2 @ SY48 )
| ( icext @ SV4 @ SY48 )
| ( icext @ SY47 @ SY48 ) )
| ~ ~ ( ~ ! [SY49: $i] :
( ~ ( icext @ SV4 @ SY49 )
| ( icext @ SV2 @ SY49 ) )
| ~ ! [SY23: $i] :
( ~ ( icext @ SY47 @ SY23 )
| ( icext @ SV2 @ SY23 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SY51: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SY51 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY51 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY51 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV2 ) )
| ~ ( ! [SY53: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SY53 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY53 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY53 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV4 ) ) )
| ~ ! [SY55: $i,SY56: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SY55 )
| ~ ( iext @ uri_rdf_first @ SY55 @ SY56 )
| ~ ( iext @ uri_rdf_rest @ SY55 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SY56 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(36,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_Eagle @ uri_ex_Species )
| ~ ( iext @ uri_rdf_type @ uri_ex_Falcon @ uri_ex_Species ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_harry @ sK1_BNODE_u ) )
| ~ ( iext @ uri_owl_unionOf @ sK1_BNODE_u @ sK2_SY12 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY12 @ uri_ex_Eagle ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY12 @ sK3_SY14 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY14 @ uri_ex_Falcon ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[30]) ).
thf(37,plain,
( ( iext @ uri_rdf_rest @ sK3_SY14 @ uri_rdf_nil )
= $true ),
inference(extcnf_not_neg,[status(thm)],[31]) ).
thf(38,plain,
! [SV1: $i] :
( ( ( iext @ uri_rdf_type @ SV1 @ uri_ex_Species )
= $false )
| ( ( iext @ uri_rdf_type @ uri_ex_harry @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(39,plain,
! [SV5: $i] :
( ( ! [SY57: $i] :
( ~ ( icext @ SY57 @ SV5 )
| ( iext @ uri_rdf_type @ SV5 @ SY57 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(40,plain,
! [SV6: $i] :
( ( ! [SY58: $i] :
( ~ ( iext @ uri_rdf_type @ SV6 @ SY58 )
| ( icext @ SY58 @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(41,plain,
! [SV2: $i,SV4: $i,SV3: $i] :
( ( ~ ! [SY44: $i,SY45: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SY44 )
| ~ ( iext @ uri_rdf_first @ SY44 @ SY45 )
| ~ ( iext @ uri_rdf_rest @ SY44 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( ~ ( icext @ SV2 @ ( sK4_X @ SY45 @ SY44 @ SV4 @ SV3 @ SV2 ) )
| ~ ( icext @ SV4 @ ( sK4_X @ SY45 @ SY44 @ SV4 @ SV3 @ SV2 ) ) )
| ~ ( ~ ( icext @ SV2 @ ( sK4_X @ SY45 @ SY44 @ SV4 @ SV3 @ SV2 ) )
| ~ ( icext @ SY45 @ ( sK4_X @ SY45 @ SY44 @ SV4 @ SV3 @ SV2 ) ) ) )
| ~ ( ( icext @ SV2 @ ( sK4_X @ SY45 @ SY44 @ SV4 @ SV3 @ SV2 ) )
| ( icext @ SV4 @ ( sK4_X @ SY45 @ SY44 @ SV4 @ SV3 @ SV2 ) )
| ( icext @ SY45 @ ( sK4_X @ SY45 @ SY44 @ SV4 @ SV3 @ SV2 ) ) ) )
| ~ ( ic @ SV2 )
| ~ ( ic @ SV4 )
| ~ ( ic @ SY45 )
| ( iext @ uri_owl_unionOf @ SV2 @ SV3 ) )
| ~ ~ ( ~ ! [SY46: $i,SY47: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SY46 )
| ~ ( iext @ uri_rdf_first @ SY46 @ SY47 )
| ~ ( iext @ uri_rdf_rest @ SY46 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ~ ( ~ ! [SY48: $i] :
( ~ ( icext @ SV2 @ SY48 )
| ( icext @ SV4 @ SY48 )
| ( icext @ SY47 @ SY48 ) )
| ~ ~ ( ~ ! [SY49: $i] :
( ~ ( icext @ SV4 @ SY49 )
| ( icext @ SV2 @ SY49 ) )
| ~ ! [SY23: $i] :
( ~ ( icext @ SY47 @ SY23 )
| ( icext @ SV2 @ SY23 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SY51: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SY51 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY51 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY51 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV2 ) )
| ~ ( ! [SY53: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SY53 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY53 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY53 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV4 ) ) )
| ~ ! [SY55: $i,SY56: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SY55 )
| ~ ( iext @ uri_rdf_first @ SY55 @ SY56 )
| ~ ( iext @ uri_rdf_rest @ SY55 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SY56 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(42,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_Eagle @ uri_ex_Species )
| ~ ( iext @ uri_rdf_type @ uri_ex_Falcon @ uri_ex_Species ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_harry @ sK1_BNODE_u ) )
| ~ ( iext @ uri_owl_unionOf @ sK1_BNODE_u @ sK2_SY12 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY12 @ uri_ex_Eagle ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY12 @ sK3_SY14 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY14 @ uri_ex_Falcon ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(43,plain,
! [SV5: $i,SV7: $i] :
( ( ~ ( icext @ SV7 @ SV5 )
| ( iext @ uri_rdf_type @ SV5 @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(44,plain,
! [SV8: $i,SV6: $i] :
( ( ~ ( iext @ uri_rdf_type @ SV6 @ SV8 )
| ( icext @ SV8 @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(45,plain,
! [SV2: $i,SV4: $i,SV3: $i] :
( ( ~ ! [SY44: $i,SY45: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SY44 )
| ~ ( iext @ uri_rdf_first @ SY44 @ SY45 )
| ~ ( iext @ uri_rdf_rest @ SY44 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( ~ ( icext @ SV2 @ ( sK4_X @ SY45 @ SY44 @ SV4 @ SV3 @ SV2 ) )
| ~ ( icext @ SV4 @ ( sK4_X @ SY45 @ SY44 @ SV4 @ SV3 @ SV2 ) ) )
| ~ ( ~ ( icext @ SV2 @ ( sK4_X @ SY45 @ SY44 @ SV4 @ SV3 @ SV2 ) )
| ~ ( icext @ SY45 @ ( sK4_X @ SY45 @ SY44 @ SV4 @ SV3 @ SV2 ) ) ) )
| ~ ( ( icext @ SV2 @ ( sK4_X @ SY45 @ SY44 @ SV4 @ SV3 @ SV2 ) )
| ( icext @ SV4 @ ( sK4_X @ SY45 @ SY44 @ SV4 @ SV3 @ SV2 ) )
| ( icext @ SY45 @ ( sK4_X @ SY45 @ SY44 @ SV4 @ SV3 @ SV2 ) ) ) )
| ~ ( ic @ SV2 )
| ~ ( ic @ SV4 )
| ~ ( ic @ SY45 )
| ( iext @ uri_owl_unionOf @ SV2 @ SV3 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(46,plain,
! [SV2: $i,SV4: $i,SV3: $i] :
( ( ~ ~ ( ~ ! [SY46: $i,SY47: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SY46 )
| ~ ( iext @ uri_rdf_first @ SY46 @ SY47 )
| ~ ( iext @ uri_rdf_rest @ SY46 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ~ ( ~ ! [SY48: $i] :
( ~ ( icext @ SV2 @ SY48 )
| ( icext @ SV4 @ SY48 )
| ( icext @ SY47 @ SY48 ) )
| ~ ~ ( ~ ! [SY49: $i] :
( ~ ( icext @ SV4 @ SY49 )
| ( icext @ SV2 @ SY49 ) )
| ~ ! [SY23: $i] :
( ~ ( icext @ SY47 @ SY23 )
| ( icext @ SV2 @ SY23 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SY51: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SY51 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY51 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY51 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV2 ) )
| ~ ( ! [SY53: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SY53 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY53 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY53 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV4 ) ) )
| ~ ! [SY55: $i,SY56: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SY55 )
| ~ ( iext @ uri_rdf_first @ SY55 @ SY56 )
| ~ ( iext @ uri_rdf_rest @ SY55 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SY56 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(47,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_Eagle @ uri_ex_Species )
| ~ ( iext @ uri_rdf_type @ uri_ex_Falcon @ uri_ex_Species ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_harry @ sK1_BNODE_u ) )
| ~ ( iext @ uri_owl_unionOf @ sK1_BNODE_u @ sK2_SY12 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY12 @ uri_ex_Eagle ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY12 @ sK3_SY14 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[42]) ).
thf(48,plain,
( ( ~ ( iext @ uri_rdf_first @ sK3_SY14 @ uri_ex_Falcon ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[42]) ).
thf(49,plain,
! [SV5: $i,SV7: $i] :
( ( ( ~ ( icext @ SV7 @ SV5 ) )
= $true )
| ( ( iext @ uri_rdf_type @ SV5 @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[43]) ).
thf(50,plain,
! [SV8: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_type @ SV6 @ SV8 ) )
= $true )
| ( ( icext @ SV8 @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[44]) ).
thf(51,plain,
! [SV2: $i,SV4: $i,SV3: $i] :
( ( ! [SY44: $i,SY45: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SY44 )
| ~ ( iext @ uri_rdf_first @ SY44 @ SY45 )
| ~ ( iext @ uri_rdf_rest @ SY44 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( ~ ( icext @ SV2 @ ( sK4_X @ SY45 @ SY44 @ SV4 @ SV3 @ SV2 ) )
| ~ ( icext @ SV4 @ ( sK4_X @ SY45 @ SY44 @ SV4 @ SV3 @ SV2 ) ) )
| ~ ( ~ ( icext @ SV2 @ ( sK4_X @ SY45 @ SY44 @ SV4 @ SV3 @ SV2 ) )
| ~ ( icext @ SY45 @ ( sK4_X @ SY45 @ SY44 @ SV4 @ SV3 @ SV2 ) ) ) )
| ~ ( ( icext @ SV2 @ ( sK4_X @ SY45 @ SY44 @ SV4 @ SV3 @ SV2 ) )
| ( icext @ SV4 @ ( sK4_X @ SY45 @ SY44 @ SV4 @ SV3 @ SV2 ) )
| ( icext @ SY45 @ ( sK4_X @ SY45 @ SY44 @ SV4 @ SV3 @ SV2 ) ) ) )
| ~ ( ic @ SV2 )
| ~ ( ic @ SV4 )
| ~ ( ic @ SY45 )
| ( iext @ uri_owl_unionOf @ SV2 @ SV3 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[45]) ).
thf(52,plain,
! [SV2: $i,SV4: $i,SV3: $i] :
( ( ~ ( ~ ! [SY46: $i,SY47: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SY46 )
| ~ ( iext @ uri_rdf_first @ SY46 @ SY47 )
| ~ ( iext @ uri_rdf_rest @ SY46 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ~ ( ~ ! [SY48: $i] :
( ~ ( icext @ SV2 @ SY48 )
| ( icext @ SV4 @ SY48 )
| ( icext @ SY47 @ SY48 ) )
| ~ ~ ( ~ ! [SY49: $i] :
( ~ ( icext @ SV4 @ SY49 )
| ( icext @ SV2 @ SY49 ) )
| ~ ! [SY23: $i] :
( ~ ( icext @ SY47 @ SY23 )
| ( icext @ SV2 @ SY23 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SY51: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SY51 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY51 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY51 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV2 ) )
| ~ ( ! [SY53: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SY53 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY53 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY53 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV4 ) ) )
| ~ ! [SY55: $i,SY56: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SY55 )
| ~ ( iext @ uri_rdf_first @ SY55 @ SY56 )
| ~ ( iext @ uri_rdf_rest @ SY55 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SY56 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[46]) ).
thf(53,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_Eagle @ uri_ex_Species )
| ~ ( iext @ uri_rdf_type @ uri_ex_Falcon @ uri_ex_Species ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_harry @ sK1_BNODE_u ) )
| ~ ( iext @ uri_owl_unionOf @ sK1_BNODE_u @ sK2_SY12 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY12 @ uri_ex_Eagle ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY12 @ sK3_SY14 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[47]) ).
thf(54,plain,
( ( iext @ uri_rdf_first @ sK3_SY14 @ uri_ex_Falcon )
= $true ),
inference(extcnf_not_neg,[status(thm)],[48]) ).
thf(55,plain,
! [SV5: $i,SV7: $i] :
( ( ( icext @ SV7 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_type @ SV5 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(56,plain,
! [SV8: $i,SV6: $i] :
( ( ( iext @ uri_rdf_type @ SV6 @ SV8 )
= $false )
| ( ( icext @ SV8 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(57,plain,
! [SV2: $i,SV9: $i,SV4: $i,SV3: $i] :
( ( ! [SY59: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SV9 )
| ~ ( iext @ uri_rdf_first @ SV9 @ SY59 )
| ~ ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( ~ ( icext @ SV2 @ ( sK4_X @ SY59 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ~ ( icext @ SV4 @ ( sK4_X @ SY59 @ SV9 @ SV4 @ SV3 @ SV2 ) ) )
| ~ ( ~ ( icext @ SV2 @ ( sK4_X @ SY59 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ~ ( icext @ SY59 @ ( sK4_X @ SY59 @ SV9 @ SV4 @ SV3 @ SV2 ) ) ) )
| ~ ( ( icext @ SV2 @ ( sK4_X @ SY59 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ( icext @ SV4 @ ( sK4_X @ SY59 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ( icext @ SY59 @ ( sK4_X @ SY59 @ SV9 @ SV4 @ SV3 @ SV2 ) ) ) )
| ~ ( ic @ SV2 )
| ~ ( ic @ SV4 )
| ~ ( ic @ SY59 )
| ( iext @ uri_owl_unionOf @ SV2 @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(58,plain,
! [SV2: $i,SV4: $i,SV3: $i] :
( ( ~ ! [SY46: $i,SY47: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SY46 )
| ~ ( iext @ uri_rdf_first @ SY46 @ SY47 )
| ~ ( iext @ uri_rdf_rest @ SY46 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ~ ( ~ ! [SY48: $i] :
( ~ ( icext @ SV2 @ SY48 )
| ( icext @ SV4 @ SY48 )
| ( icext @ SY47 @ SY48 ) )
| ~ ~ ( ~ ! [SY49: $i] :
( ~ ( icext @ SV4 @ SY49 )
| ( icext @ SV2 @ SY49 ) )
| ~ ! [SY23: $i] :
( ~ ( icext @ SY47 @ SY23 )
| ( icext @ SV2 @ SY23 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SY51: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SY51 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY51 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY51 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV2 ) )
| ~ ( ! [SY53: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SY53 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY53 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY53 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV4 ) ) )
| ~ ! [SY55: $i,SY56: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SY55 )
| ~ ( iext @ uri_rdf_first @ SY55 @ SY56 )
| ~ ( iext @ uri_rdf_rest @ SY55 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SY56 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(59,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_Eagle @ uri_ex_Species )
| ~ ( iext @ uri_rdf_type @ uri_ex_Falcon @ uri_ex_Species ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_harry @ sK1_BNODE_u ) )
| ~ ( iext @ uri_owl_unionOf @ sK1_BNODE_u @ sK2_SY12 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY12 @ uri_ex_Eagle ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY12 @ sK3_SY14 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(60,plain,
! [SV2: $i,SV10: $i,SV9: $i,SV4: $i,SV3: $i] :
( ( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SV9 )
| ~ ( iext @ uri_rdf_first @ SV9 @ SV10 )
| ~ ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( ~ ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ~ ( icext @ SV4 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) ) )
| ~ ( ~ ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ~ ( icext @ SV10 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) ) ) )
| ~ ( ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ( icext @ SV4 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ( icext @ SV10 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) ) ) )
| ~ ( ic @ SV2 )
| ~ ( ic @ SV4 )
| ~ ( ic @ SV10 )
| ( iext @ uri_owl_unionOf @ SV2 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(61,plain,
! [SV2: $i,SV4: $i,SV3: $i] :
( ( ~ ! [SY46: $i,SY47: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SY46 )
| ~ ( iext @ uri_rdf_first @ SY46 @ SY47 )
| ~ ( iext @ uri_rdf_rest @ SY46 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ~ ( ~ ! [SY48: $i] :
( ~ ( icext @ SV2 @ SY48 )
| ( icext @ SV4 @ SY48 )
| ( icext @ SY47 @ SY48 ) )
| ~ ~ ( ~ ! [SY49: $i] :
( ~ ( icext @ SV4 @ SY49 )
| ( icext @ SV2 @ SY49 ) )
| ~ ! [SY23: $i] :
( ~ ( icext @ SY47 @ SY23 )
| ( icext @ SV2 @ SY23 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(62,plain,
! [SV2: $i,SV4: $i,SV3: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ! [SY51: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SY51 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY51 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY51 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV2 ) )
| ~ ( ! [SY53: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SY53 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY53 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY53 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV4 ) ) )
| ~ ! [SY55: $i,SY56: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SY55 )
| ~ ( iext @ uri_rdf_first @ SY55 @ SY56 )
| ~ ( iext @ uri_rdf_rest @ SY55 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SY56 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(63,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_Eagle @ uri_ex_Species )
| ~ ( iext @ uri_rdf_type @ uri_ex_Falcon @ uri_ex_Species ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_harry @ sK1_BNODE_u ) )
| ~ ( iext @ uri_owl_unionOf @ sK1_BNODE_u @ sK2_SY12 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY12 @ uri_ex_Eagle ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(64,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK2_SY12 @ sK3_SY14 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(65,plain,
! [SV2: $i,SV10: $i,SV9: $i,SV4: $i,SV3: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SV9 )
| ~ ( iext @ uri_rdf_first @ SV9 @ SV10 )
| ~ ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ~ ( icext @ SV4 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) ) )
| ~ ( ~ ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ~ ( icext @ SV10 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) ) ) )
| ~ ( ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ( icext @ SV4 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ( icext @ SV10 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) ) ) )
| ~ ( ic @ SV2 )
| ~ ( ic @ SV4 )
| ~ ( ic @ SV10 )
| ( iext @ uri_owl_unionOf @ SV2 @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[60]) ).
thf(66,plain,
! [SV2: $i,SV4: $i,SV3: $i] :
( ( ! [SY46: $i,SY47: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SY46 )
| ~ ( iext @ uri_rdf_first @ SY46 @ SY47 )
| ~ ( iext @ uri_rdf_rest @ SY46 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ~ ( ~ ! [SY48: $i] :
( ~ ( icext @ SV2 @ SY48 )
| ( icext @ SV4 @ SY48 )
| ( icext @ SY47 @ SY48 ) )
| ~ ~ ( ~ ! [SY49: $i] :
( ~ ( icext @ SV4 @ SY49 )
| ( icext @ SV2 @ SY49 ) )
| ~ ! [SY23: $i] :
( ~ ( icext @ SY47 @ SY23 )
| ( icext @ SV2 @ SY23 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[61]) ).
thf(67,plain,
! [SV2: $i,SV4: $i,SV3: $i] :
( ( ~ ( ~ ~ ( ~ ( ! [SY51: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SY51 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY51 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY51 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV2 ) )
| ~ ( ! [SY53: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SY53 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY53 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY53 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV4 ) ) )
| ~ ! [SY55: $i,SY56: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SY55 )
| ~ ( iext @ uri_rdf_first @ SY55 @ SY56 )
| ~ ( iext @ uri_rdf_rest @ SY55 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SY56 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(68,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_Eagle @ uri_ex_Species )
| ~ ( iext @ uri_rdf_type @ uri_ex_Falcon @ uri_ex_Species ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_harry @ sK1_BNODE_u ) )
| ~ ( iext @ uri_owl_unionOf @ sK1_BNODE_u @ sK2_SY12 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY12 @ uri_ex_Eagle ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(69,plain,
( ( iext @ uri_rdf_rest @ sK2_SY12 @ sK3_SY14 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[64]) ).
thf(70,plain,
! [SV2: $i,SV10: $i,SV9: $i,SV4: $i,SV3: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SV9 )
| ~ ( iext @ uri_rdf_first @ SV9 @ SV10 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ~ ( icext @ SV4 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) ) )
| ~ ( ~ ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ~ ( icext @ SV10 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) ) ) )
| ~ ( ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ( icext @ SV4 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ( icext @ SV10 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) ) ) )
| ~ ( ic @ SV2 )
| ~ ( ic @ SV4 )
| ~ ( ic @ SV10 )
| ( iext @ uri_owl_unionOf @ SV2 @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[65]) ).
thf(71,plain,
! [SV2: $i,SV11: $i,SV4: $i,SV3: $i] :
( ( ! [SY60: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SV11 )
| ~ ( iext @ uri_rdf_first @ SV11 @ SY60 )
| ~ ( iext @ uri_rdf_rest @ SV11 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ~ ( ~ ! [SY48: $i] :
( ~ ( icext @ SV2 @ SY48 )
| ( icext @ SV4 @ SY48 )
| ( icext @ SY60 @ SY48 ) )
| ~ ~ ( ~ ! [SY49: $i] :
( ~ ( icext @ SV4 @ SY49 )
| ( icext @ SV2 @ SY49 ) )
| ~ ! [SY23: $i] :
( ~ ( icext @ SY60 @ SY23 )
| ( icext @ SV2 @ SY23 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(72,plain,
! [SV2: $i,SV4: $i,SV3: $i] :
( ( ~ ~ ( ~ ( ! [SY51: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SY51 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY51 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY51 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV2 ) )
| ~ ( ! [SY53: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SY53 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY53 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY53 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV4 ) ) )
| ~ ! [SY55: $i,SY56: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SY55 )
| ~ ( iext @ uri_rdf_first @ SY55 @ SY56 )
| ~ ( iext @ uri_rdf_rest @ SY55 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SY56 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(73,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_Eagle @ uri_ex_Species )
| ~ ( iext @ uri_rdf_type @ uri_ex_Falcon @ uri_ex_Species ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_harry @ sK1_BNODE_u ) )
| ~ ( iext @ uri_owl_unionOf @ sK1_BNODE_u @ sK2_SY12 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY12 @ uri_ex_Eagle ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(74,plain,
! [SV2: $i,SV10: $i,SV9: $i,SV4: $i,SV3: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SV9 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV9 @ SV10 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ~ ( icext @ SV4 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) ) )
| ~ ( ~ ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ~ ( icext @ SV10 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) ) ) )
| ~ ( ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ( icext @ SV4 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ( icext @ SV10 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) ) ) )
| ~ ( ic @ SV2 )
| ~ ( ic @ SV4 )
| ~ ( ic @ SV10 )
| ( iext @ uri_owl_unionOf @ SV2 @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[70]) ).
thf(75,plain,
! [SV2: $i,SV12: $i,SV11: $i,SV4: $i,SV3: $i] :
( ( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SV11 )
| ~ ( iext @ uri_rdf_first @ SV11 @ SV12 )
| ~ ( iext @ uri_rdf_rest @ SV11 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ~ ( ~ ! [SY64: $i] :
( ~ ( icext @ SV2 @ SY64 )
| ( icext @ SV4 @ SY64 )
| ( icext @ SV12 @ SY64 ) )
| ~ ~ ( ~ ! [SY49: $i] :
( ~ ( icext @ SV4 @ SY49 )
| ( icext @ SV2 @ SY49 ) )
| ~ ! [SY66: $i] :
( ~ ( icext @ SV12 @ SY66 )
| ( icext @ SV2 @ SY66 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(76,plain,
! [SV2: $i,SV4: $i,SV3: $i] :
( ( ~ ~ ( ~ ( ! [SY51: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SY51 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY51 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY51 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV2 ) )
| ~ ( ! [SY53: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SY53 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY53 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY53 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV4 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[72]) ).
thf(77,plain,
! [SV2: $i,SV4: $i,SV3: $i] :
( ( ~ ! [SY55: $i,SY56: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SY55 )
| ~ ( iext @ uri_rdf_first @ SY55 @ SY56 )
| ~ ( iext @ uri_rdf_rest @ SY55 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SY56 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[72]) ).
thf(78,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_Eagle @ uri_ex_Species )
| ~ ( iext @ uri_rdf_type @ uri_ex_Falcon @ uri_ex_Species ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_harry @ sK1_BNODE_u ) )
| ~ ( iext @ uri_owl_unionOf @ sK1_BNODE_u @ sK2_SY12 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(79,plain,
( ( ~ ( iext @ uri_rdf_first @ sK2_SY12 @ uri_ex_Eagle ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(80,plain,
! [SV2: $i,SV10: $i,SV9: $i,SV4: $i,SV3: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV3 @ SV9 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV9 @ SV10 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ~ ( icext @ SV4 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) ) )
| ~ ( ~ ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ~ ( icext @ SV10 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) ) ) )
| ~ ( ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ( icext @ SV4 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ( icext @ SV10 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) ) ) )
| ~ ( ic @ SV2 )
| ~ ( ic @ SV4 )
| ~ ( ic @ SV10 )
| ( iext @ uri_owl_unionOf @ SV2 @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[74]) ).
thf(81,plain,
! [SV2: $i,SV12: $i,SV11: $i,SV4: $i,SV3: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SV11 )
| ~ ( iext @ uri_rdf_first @ SV11 @ SV12 )
| ~ ( iext @ uri_rdf_rest @ SV11 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ~ ( ~ ! [SY64: $i] :
( ~ ( icext @ SV2 @ SY64 )
| ( icext @ SV4 @ SY64 )
| ( icext @ SV12 @ SY64 ) )
| ~ ~ ( ~ ! [SY49: $i] :
( ~ ( icext @ SV4 @ SY49 )
| ( icext @ SV2 @ SY49 ) )
| ~ ! [SY66: $i] :
( ~ ( icext @ SV12 @ SY66 )
| ( icext @ SV2 @ SY66 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[75]) ).
thf(82,plain,
! [SV2: $i,SV4: $i,SV3: $i] :
( ( ~ ( ~ ( ! [SY51: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SY51 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY51 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY51 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV2 ) )
| ~ ( ! [SY53: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SY53 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY53 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY53 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV4 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[76]) ).
thf(83,plain,
! [SV2: $i,SV4: $i,SV3: $i] :
( ( ! [SY55: $i,SY56: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SY55 )
| ~ ( iext @ uri_rdf_first @ SY55 @ SY56 )
| ~ ( iext @ uri_rdf_rest @ SY55 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SY56 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[77]) ).
thf(84,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_Eagle @ uri_ex_Species )
| ~ ( iext @ uri_rdf_type @ uri_ex_Falcon @ uri_ex_Species ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_harry @ sK1_BNODE_u ) )
| ~ ( iext @ uri_owl_unionOf @ sK1_BNODE_u @ sK2_SY12 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[78]) ).
thf(85,plain,
( ( iext @ uri_rdf_first @ sK2_SY12 @ uri_ex_Eagle )
= $true ),
inference(extcnf_not_neg,[status(thm)],[79]) ).
thf(86,plain,
! [SV2: $i,SV10: $i,SV9: $i,SV4: $i,SV3: $i] :
( ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV3 @ SV9 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV9 @ SV10 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ~ ( icext @ SV4 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) ) )
| ~ ( ~ ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ~ ( icext @ SV10 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) ) ) )
| ~ ( ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ( icext @ SV4 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ( icext @ SV10 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) ) ) )
| ~ ( ic @ SV2 )
| ~ ( ic @ SV4 )
| ~ ( ic @ SV10 )
| ( iext @ uri_owl_unionOf @ SV2 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(87,plain,
! [SV2: $i,SV12: $i,SV11: $i,SV4: $i,SV3: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SV11 )
| ~ ( iext @ uri_rdf_first @ SV11 @ SV12 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV11 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ~ ( ~ ! [SY64: $i] :
( ~ ( icext @ SV2 @ SY64 )
| ( icext @ SV4 @ SY64 )
| ( icext @ SV12 @ SY64 ) )
| ~ ~ ( ~ ! [SY49: $i] :
( ~ ( icext @ SV4 @ SY49 )
| ( icext @ SV2 @ SY49 ) )
| ~ ! [SY66: $i] :
( ~ ( icext @ SV12 @ SY66 )
| ( icext @ SV2 @ SY66 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[81]) ).
thf(88,plain,
! [SV2: $i,SV4: $i,SV3: $i] :
( ( ~ ( ! [SY51: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SY51 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY51 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY51 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV2 ) )
| ~ ( ! [SY53: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SY53 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY53 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY53 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV4 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(89,plain,
! [SV2: $i,SV13: $i,SV4: $i,SV3: $i] :
( ( ! [SY67: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SV13 )
| ~ ( iext @ uri_rdf_first @ SV13 @ SY67 )
| ~ ( iext @ uri_rdf_rest @ SV13 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SY67 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(90,plain,
( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_Eagle @ uri_ex_Species )
| ~ ( iext @ uri_rdf_type @ uri_ex_Falcon @ uri_ex_Species ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_harry @ sK1_BNODE_u ) )
| ~ ( iext @ uri_owl_unionOf @ sK1_BNODE_u @ sK2_SY12 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(91,plain,
! [SV2: $i,SV10: $i,SV4: $i,SV9: $i,SV3: $i] :
( ( ( iext @ uri_rdf_rest @ SV3 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV9 @ SV10 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ~ ( icext @ SV4 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) ) )
| ~ ( ~ ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ~ ( icext @ SV10 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) ) ) )
| ~ ( ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ( icext @ SV4 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ( icext @ SV10 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) ) ) )
| ~ ( ic @ SV2 )
| ~ ( ic @ SV4 )
| ~ ( ic @ SV10 )
| ( iext @ uri_owl_unionOf @ SV2 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[86]) ).
thf(92,plain,
! [SV2: $i,SV12: $i,SV11: $i,SV4: $i,SV3: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SV11 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV11 @ SV12 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV11 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ~ ( ~ ! [SY64: $i] :
( ~ ( icext @ SV2 @ SY64 )
| ( icext @ SV4 @ SY64 )
| ( icext @ SV12 @ SY64 ) )
| ~ ~ ( ~ ! [SY49: $i] :
( ~ ( icext @ SV4 @ SY49 )
| ( icext @ SV2 @ SY49 ) )
| ~ ! [SY66: $i] :
( ~ ( icext @ SV12 @ SY66 )
| ( icext @ SV2 @ SY66 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[87]) ).
thf(93,plain,
! [SV2: $i,SV4: $i,SV3: $i] :
( ( ~ ( ! [SY51: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SY51 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY51 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY51 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV2 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[88]) ).
thf(94,plain,
! [SV2: $i,SV4: $i,SV3: $i] :
( ( ~ ( ! [SY53: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SY53 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY53 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY53 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV4 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[88]) ).
thf(95,plain,
! [SV2: $i,SV14: $i,SV13: $i,SV4: $i,SV3: $i] :
( ( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SV13 )
| ~ ( iext @ uri_rdf_first @ SV13 @ SV14 )
| ~ ( iext @ uri_rdf_rest @ SV13 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(96,plain,
( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_Eagle @ uri_ex_Species )
| ~ ( iext @ uri_rdf_type @ uri_ex_Falcon @ uri_ex_Species ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_harry @ sK1_BNODE_u ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[90]) ).
thf(97,plain,
( ( ~ ( iext @ uri_owl_unionOf @ sK1_BNODE_u @ sK2_SY12 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[90]) ).
thf(98,plain,
! [SV2: $i,SV4: $i,SV3: $i,SV10: $i,SV9: $i] :
( ( ( iext @ uri_rdf_first @ SV9 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV9 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ~ ( icext @ SV4 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) ) )
| ~ ( ~ ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ~ ( icext @ SV10 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) ) ) )
| ~ ( ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ( icext @ SV4 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ( icext @ SV10 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) ) ) )
| ~ ( ic @ SV2 )
| ~ ( ic @ SV4 )
| ~ ( ic @ SV10 )
| ( iext @ uri_owl_unionOf @ SV2 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(99,plain,
! [SV2: $i,SV12: $i,SV11: $i,SV4: $i,SV3: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV3 @ SV11 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV11 @ SV12 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV11 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ~ ( ~ ! [SY64: $i] :
( ~ ( icext @ SV2 @ SY64 )
| ( icext @ SV4 @ SY64 )
| ( icext @ SV12 @ SY64 ) )
| ~ ~ ( ~ ! [SY49: $i] :
( ~ ( icext @ SV4 @ SY49 )
| ( icext @ SV2 @ SY49 ) )
| ~ ! [SY66: $i] :
( ~ ( icext @ SV12 @ SY66 )
| ( icext @ SV2 @ SY66 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[92]) ).
thf(100,plain,
! [SV2: $i,SV4: $i,SV3: $i] :
( ( ! [SY51: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SY51 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY51 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY51 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV2 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[93]) ).
thf(101,plain,
! [SV2: $i,SV4: $i,SV3: $i] :
( ( ! [SY53: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SY53 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY53 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY53 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV4 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[94]) ).
thf(102,plain,
! [SV2: $i,SV14: $i,SV13: $i,SV4: $i,SV3: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SV13 )
| ~ ( iext @ uri_rdf_first @ SV13 @ SV14 )
| ~ ( iext @ uri_rdf_rest @ SV13 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[95]) ).
thf(103,plain,
( ( ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_Eagle @ uri_ex_Species )
| ~ ( iext @ uri_rdf_type @ uri_ex_Falcon @ uri_ex_Species ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_harry @ sK1_BNODE_u ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[96]) ).
thf(104,plain,
( ( iext @ uri_owl_unionOf @ sK1_BNODE_u @ sK2_SY12 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[97]) ).
thf(105,plain,
! [SV2: $i,SV10: $i,SV4: $i,SV3: $i,SV9: $i] :
( ( ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV9 @ SV10 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ~ ( icext @ SV4 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) ) )
| ~ ( ~ ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ~ ( icext @ SV10 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) ) ) )
| ~ ( ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ( icext @ SV4 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ( icext @ SV10 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) ) ) )
| ~ ( ic @ SV2 )
| ~ ( ic @ SV4 )
| ~ ( ic @ SV10 )
| ( iext @ uri_owl_unionOf @ SV2 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(106,plain,
! [SV2: $i,SV12: $i,SV11: $i,SV4: $i,SV3: $i] :
( ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV3 @ SV11 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV11 @ SV12 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV11 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ~ ( ~ ! [SY64: $i] :
( ~ ( icext @ SV2 @ SY64 )
| ( icext @ SV4 @ SY64 )
| ( icext @ SV12 @ SY64 ) )
| ~ ~ ( ~ ! [SY49: $i] :
( ~ ( icext @ SV4 @ SY49 )
| ( icext @ SV2 @ SY49 ) )
| ~ ! [SY66: $i] :
( ~ ( icext @ SV12 @ SY66 )
| ( icext @ SV2 @ SY66 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(107,plain,
! [SV2: $i,SV4: $i,SV3: $i] :
( ( ( ! [SY51: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SY51 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY51 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY51 @ uri_rdf_nil ) ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[100]) ).
thf(108,plain,
! [SV2: $i,SV4: $i,SV3: $i] :
( ( ( ! [SY53: $i] :
( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SY53 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY53 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY53 @ uri_rdf_nil ) ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[101]) ).
thf(109,plain,
! [SV2: $i,SV14: $i,SV13: $i,SV4: $i,SV3: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SV13 )
| ~ ( iext @ uri_rdf_first @ SV13 @ SV14 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV13 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[102]) ).
thf(110,plain,
( ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_Eagle @ uri_ex_Species )
| ~ ( iext @ uri_rdf_type @ uri_ex_Falcon @ uri_ex_Species ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_harry @ sK1_BNODE_u ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(111,plain,
! [SV3: $i,SV4: $i,SV9: $i,SV10: $i,SV2: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ~ ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ~ ( icext @ SV4 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) ) )
| ~ ( ~ ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ~ ( icext @ SV10 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) ) ) )
| ~ ( ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ( icext @ SV4 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ( icext @ SV10 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) ) ) )
| ~ ( ic @ SV2 )
| ~ ( ic @ SV4 )
| ~ ( ic @ SV10 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $true )
| ( ( iext @ uri_rdf_first @ SV9 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[105]) ).
thf(112,plain,
! [SV2: $i,SV12: $i,SV4: $i,SV11: $i,SV3: $i] :
( ( ( iext @ uri_rdf_rest @ SV3 @ SV11 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV11 @ SV12 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV11 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ~ ( ~ ! [SY64: $i] :
( ~ ( icext @ SV2 @ SY64 )
| ( icext @ SV4 @ SY64 )
| ( icext @ SV12 @ SY64 ) )
| ~ ~ ( ~ ! [SY49: $i] :
( ~ ( icext @ SV4 @ SY49 )
| ( icext @ SV2 @ SY49 ) )
| ~ ! [SY66: $i] :
( ~ ( icext @ SV12 @ SY66 )
| ( icext @ SV2 @ SY66 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(113,plain,
! [SV2: $i,SV15: $i,SV4: $i,SV3: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SV15 )
| ! [SY68: $i] :
~ ( iext @ uri_rdf_first @ SV15 @ SY68 )
| ~ ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV2 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(114,plain,
! [SV2: $i,SV16: $i,SV4: $i,SV3: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SV16 )
| ! [SY69: $i] :
~ ( iext @ uri_rdf_first @ SV16 @ SY69 )
| ~ ( iext @ uri_rdf_rest @ SV16 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV4 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(115,plain,
! [SV2: $i,SV14: $i,SV13: $i,SV4: $i,SV3: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SV13 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV13 @ SV14 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV13 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[109]) ).
thf(116,plain,
( ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_Eagle @ uri_ex_Species )
| ~ ( iext @ uri_rdf_type @ uri_ex_Falcon @ uri_ex_Species ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[110]) ).
thf(117,plain,
( ( ~ ( iext @ uri_rdf_type @ uri_ex_harry @ sK1_BNODE_u ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[110]) ).
thf(118,plain,
! [SV3: $i,SV4: $i,SV9: $i,SV10: $i,SV2: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ~ ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ~ ( icext @ SV4 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) ) )
| ~ ( ~ ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ~ ( icext @ SV10 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) ) ) )
| ~ ( ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ( icext @ SV4 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ( icext @ SV10 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) ) ) ) )
= $true )
| ( ( ~ ( ic @ SV2 )
| ~ ( ic @ SV4 )
| ~ ( ic @ SV10 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $true )
| ( ( iext @ uri_rdf_first @ SV9 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[111]) ).
thf(119,plain,
! [SV2: $i,SV4: $i,SV3: $i,SV12: $i,SV11: $i] :
( ( ( iext @ uri_rdf_first @ SV11 @ SV12 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV11 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV11 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ~ ( ~ ! [SY64: $i] :
( ~ ( icext @ SV2 @ SY64 )
| ( icext @ SV4 @ SY64 )
| ( icext @ SV12 @ SY64 ) )
| ~ ~ ( ~ ! [SY49: $i] :
( ~ ( icext @ SV4 @ SY49 )
| ( icext @ SV2 @ SY49 ) )
| ~ ! [SY66: $i] :
( ~ ( icext @ SV12 @ SY66 )
| ( icext @ SV2 @ SY66 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(120,plain,
! [SV2: $i,SV15: $i,SV4: $i,SV3: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SV15 )
| ! [SY68: $i] :
~ ( iext @ uri_rdf_first @ SV15 @ SY68 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[113]) ).
thf(121,plain,
! [SV2: $i,SV16: $i,SV4: $i,SV3: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SV16 )
| ! [SY69: $i] :
~ ( iext @ uri_rdf_first @ SV16 @ SY69 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV16 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[114]) ).
thf(122,plain,
! [SV2: $i,SV14: $i,SV13: $i,SV4: $i,SV3: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV3 @ SV13 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV13 @ SV14 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV13 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[115]) ).
thf(123,plain,
( ( ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_Eagle @ uri_ex_Species )
| ~ ( iext @ uri_rdf_type @ uri_ex_Falcon @ uri_ex_Species ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[116]) ).
thf(124,plain,
( ( iext @ uri_rdf_type @ uri_ex_harry @ sK1_BNODE_u )
= $true ),
inference(extcnf_not_neg,[status(thm)],[117]) ).
thf(125,plain,
! [SV3: $i,SV4: $i,SV9: $i,SV10: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ( ~ ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ~ ( icext @ SV4 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) ) )
| ~ ( ~ ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ~ ( icext @ SV10 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) ) ) )
| ~ ( ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ( icext @ SV4 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ( icext @ SV10 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) ) ) )
= $false )
| ( ( ~ ( ic @ SV2 )
| ~ ( ic @ SV4 )
| ~ ( ic @ SV10 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $true )
| ( ( iext @ uri_rdf_first @ SV9 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(126,plain,
! [SV2: $i,SV12: $i,SV4: $i,SV3: $i,SV11: $i] :
( ( ( iext @ uri_rdf_rest @ SV11 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV11 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV11 @ SV12 )
= $false )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ~ ( ~ ! [SY64: $i] :
( ~ ( icext @ SV2 @ SY64 )
| ( icext @ SV4 @ SY64 )
| ( icext @ SV12 @ SY64 ) )
| ~ ~ ( ~ ! [SY49: $i] :
( ~ ( icext @ SV4 @ SY49 )
| ( icext @ SV2 @ SY49 ) )
| ~ ! [SY66: $i] :
( ~ ( icext @ SV12 @ SY66 )
| ( icext @ SV2 @ SY66 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(127,plain,
! [SV2: $i,SV15: $i,SV4: $i,SV3: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SV15 ) )
= $true )
| ( ( ! [SY68: $i] :
~ ( iext @ uri_rdf_first @ SV15 @ SY68 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[120]) ).
thf(128,plain,
! [SV2: $i,SV16: $i,SV4: $i,SV3: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 )
| ~ ( iext @ uri_rdf_rest @ SV3 @ SV16 ) )
= $true )
| ( ( ! [SY69: $i] :
~ ( iext @ uri_rdf_first @ SV16 @ SY69 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV16 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[121]) ).
thf(129,plain,
! [SV2: $i,SV14: $i,SV13: $i,SV4: $i,SV3: $i] :
( ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV3 @ SV13 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV13 @ SV14 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV13 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(130,plain,
( ( ~ ( iext @ uri_rdf_type @ uri_ex_Eagle @ uri_ex_Species )
| ~ ( iext @ uri_rdf_type @ uri_ex_Falcon @ uri_ex_Species ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(131,plain,
! [SV3: $i,SV4: $i,SV9: $i,SV10: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ( ~ ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ~ ( icext @ SV4 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) ) )
| ~ ( ~ ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ~ ( icext @ SV10 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) ) ) ) )
= $false )
| ( ( ~ ( ic @ SV2 )
| ~ ( ic @ SV4 )
| ~ ( ic @ SV10 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $true )
| ( ( iext @ uri_rdf_first @ SV9 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[125]) ).
thf(132,plain,
! [SV3: $i,SV4: $i,SV9: $i,SV10: $i,SV2: $i] :
( ( ( ~ ( ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ( icext @ SV4 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ( icext @ SV10 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) ) ) )
= $false )
| ( ( ~ ( ic @ SV2 )
| ~ ( ic @ SV4 )
| ~ ( ic @ SV10 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $true )
| ( ( iext @ uri_rdf_first @ SV9 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[125]) ).
thf(133,plain,
! [SV11: $i,SV12: $i,SV4: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 ) )
= $true )
| ( ( ~ ( ~ ! [SY64: $i] :
( ~ ( icext @ SV2 @ SY64 )
| ( icext @ SV4 @ SY64 )
| ( icext @ SV12 @ SY64 ) )
| ~ ~ ( ~ ! [SY49: $i] :
( ~ ( icext @ SV4 @ SY49 )
| ( icext @ SV2 @ SY49 ) )
| ~ ! [SY66: $i] :
( ~ ( icext @ SV12 @ SY66 )
| ( icext @ SV2 @ SY66 ) ) ) ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV11 @ SV12 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV11 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV11 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[126]) ).
thf(134,plain,
! [SV2: $i,SV15: $i,SV4: $i,SV3: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV3 @ SV15 ) )
= $true )
| ( ( ! [SY68: $i] :
~ ( iext @ uri_rdf_first @ SV15 @ SY68 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[127]) ).
thf(135,plain,
! [SV2: $i,SV16: $i,SV4: $i,SV3: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV3 @ SV4 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV3 @ SV16 ) )
= $true )
| ( ( ! [SY69: $i] :
~ ( iext @ uri_rdf_first @ SV16 @ SY69 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV16 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[128]) ).
thf(136,plain,
! [SV2: $i,SV14: $i,SV4: $i,SV13: $i,SV3: $i] :
( ( ( iext @ uri_rdf_rest @ SV3 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV13 @ SV14 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV13 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(137,plain,
( ( ~ ( iext @ uri_rdf_type @ uri_ex_Eagle @ uri_ex_Species ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[130]) ).
thf(138,plain,
( ( ~ ( iext @ uri_rdf_type @ uri_ex_Falcon @ uri_ex_Species ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[130]) ).
thf(139,plain,
! [SV3: $i,SV4: $i,SV9: $i,SV10: $i,SV2: $i] :
( ( ( ~ ( ~ ( ~ ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ~ ( icext @ SV4 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) ) )
| ~ ( ~ ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ~ ( icext @ SV10 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) ) ) ) )
= $true )
| ( ( ~ ( ic @ SV2 )
| ~ ( ic @ SV4 )
| ~ ( ic @ SV10 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $true )
| ( ( iext @ uri_rdf_first @ SV9 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[131]) ).
thf(140,plain,
! [SV3: $i,SV4: $i,SV9: $i,SV10: $i,SV2: $i] :
( ( ( ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ( icext @ SV4 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ( icext @ SV10 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) ) )
= $true )
| ( ( ~ ( ic @ SV2 )
| ~ ( ic @ SV4 )
| ~ ( ic @ SV10 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $true )
| ( ( iext @ uri_rdf_first @ SV9 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[132]) ).
thf(141,plain,
! [SV11: $i,SV12: $i,SV4: $i,SV3: $i,SV2: $i] :
( ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $false )
| ( ( ~ ( ~ ! [SY64: $i] :
( ~ ( icext @ SV2 @ SY64 )
| ( icext @ SV4 @ SY64 )
| ( icext @ SV12 @ SY64 ) )
| ~ ~ ( ~ ! [SY49: $i] :
( ~ ( icext @ SV4 @ SY49 )
| ( icext @ SV2 @ SY49 ) )
| ~ ! [SY66: $i] :
( ~ ( icext @ SV12 @ SY66 )
| ( icext @ SV2 @ SY66 ) ) ) ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV11 @ SV12 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV11 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV11 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(142,plain,
! [SV2: $i,SV15: $i,SV4: $i,SV3: $i] :
( ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV3 @ SV15 ) )
= $true )
| ( ( ! [SY68: $i] :
~ ( iext @ uri_rdf_first @ SV15 @ SY68 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(143,plain,
! [SV2: $i,SV16: $i,SV4: $i,SV3: $i] :
( ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV3 @ SV16 ) )
= $true )
| ( ( ! [SY69: $i] :
~ ( iext @ uri_rdf_first @ SV16 @ SY69 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV16 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(144,plain,
! [SV2: $i,SV4: $i,SV3: $i,SV14: $i,SV13: $i] :
( ( ( iext @ uri_rdf_first @ SV13 @ SV14 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV13 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV13 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(145,plain,
( ( iext @ uri_rdf_type @ uri_ex_Eagle @ uri_ex_Species )
= $true ),
inference(extcnf_not_neg,[status(thm)],[137]) ).
thf(146,plain,
( ( iext @ uri_rdf_type @ uri_ex_Falcon @ uri_ex_Species )
= $true ),
inference(extcnf_not_neg,[status(thm)],[138]) ).
thf(147,plain,
! [SV3: $i,SV4: $i,SV9: $i,SV10: $i,SV2: $i] :
( ( ( ~ ( ~ ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ~ ( icext @ SV4 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) ) )
| ~ ( ~ ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ~ ( icext @ SV10 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) ) ) )
= $false )
| ( ( ~ ( ic @ SV2 )
| ~ ( ic @ SV4 )
| ~ ( ic @ SV10 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $true )
| ( ( iext @ uri_rdf_first @ SV9 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(148,plain,
! [SV3: $i,SV4: $i,SV9: $i,SV10: $i,SV2: $i] :
( ( ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
= $true )
| ( ( ( icext @ SV4 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ( icext @ SV10 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) ) )
= $true )
| ( ( ~ ( ic @ SV2 )
| ~ ( ic @ SV4 )
| ~ ( ic @ SV10 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $true )
| ( ( iext @ uri_rdf_first @ SV9 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[140]) ).
thf(149,plain,
! [SV11: $i,SV3: $i,SV12: $i,SV4: $i,SV2: $i] :
( ( ( ~ ! [SY64: $i] :
( ~ ( icext @ SV2 @ SY64 )
| ( icext @ SV4 @ SY64 )
| ( icext @ SV12 @ SY64 ) )
| ~ ~ ( ~ ! [SY49: $i] :
( ~ ( icext @ SV4 @ SY49 )
| ( icext @ SV2 @ SY49 ) )
| ~ ! [SY66: $i] :
( ~ ( icext @ SV12 @ SY66 )
| ( icext @ SV2 @ SY66 ) ) ) )
= $false )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_first @ SV11 @ SV12 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV11 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV11 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(150,plain,
! [SV2: $i,SV4: $i,SV15: $i,SV3: $i] :
( ( ( iext @ uri_rdf_rest @ SV3 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( ! [SY68: $i] :
~ ( iext @ uri_rdf_first @ SV15 @ SY68 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(151,plain,
! [SV2: $i,SV4: $i,SV16: $i,SV3: $i] :
( ( ( iext @ uri_rdf_rest @ SV3 @ SV16 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( ! [SY69: $i] :
~ ( iext @ uri_rdf_first @ SV16 @ SY69 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV16 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[143]) ).
thf(152,plain,
! [SV2: $i,SV14: $i,SV4: $i,SV3: $i,SV13: $i] :
( ( ( iext @ uri_rdf_rest @ SV13 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV13 @ SV14 )
= $false )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(153,plain,
! [SV3: $i,SV4: $i,SV9: $i,SV10: $i,SV2: $i] :
( ( ( ~ ( ~ ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ~ ( icext @ SV4 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) ) ) )
= $false )
| ( ( ~ ( ic @ SV2 )
| ~ ( ic @ SV4 )
| ~ ( ic @ SV10 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $true )
| ( ( iext @ uri_rdf_first @ SV9 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[147]) ).
thf(154,plain,
! [SV3: $i,SV4: $i,SV9: $i,SV10: $i,SV2: $i] :
( ( ( ~ ( ~ ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ~ ( icext @ SV10 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) ) ) )
= $false )
| ( ( ~ ( ic @ SV2 )
| ~ ( ic @ SV4 )
| ~ ( ic @ SV10 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $true )
| ( ( iext @ uri_rdf_first @ SV9 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[147]) ).
thf(155,plain,
! [SV2: $i,SV3: $i,SV9: $i,SV10: $i,SV4: $i] :
( ( ( icext @ SV4 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
= $true )
| ( ( icext @ SV10 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
= $true )
| ( ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
= $true )
| ( ( ~ ( ic @ SV2 )
| ~ ( ic @ SV4 )
| ~ ( ic @ SV10 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $true )
| ( ( iext @ uri_rdf_first @ SV9 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[148]) ).
thf(156,plain,
! [SV11: $i,SV3: $i,SV12: $i,SV4: $i,SV2: $i] :
( ( ( ~ ! [SY64: $i] :
( ~ ( icext @ SV2 @ SY64 )
| ( icext @ SV4 @ SY64 )
| ( icext @ SV12 @ SY64 ) ) )
= $false )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_first @ SV11 @ SV12 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV11 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV11 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[149]) ).
thf(157,plain,
! [SV11: $i,SV3: $i,SV12: $i,SV2: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ! [SY49: $i] :
( ~ ( icext @ SV4 @ SY49 )
| ( icext @ SV2 @ SY49 ) )
| ~ ! [SY66: $i] :
( ~ ( icext @ SV12 @ SY66 )
| ( icext @ SV2 @ SY66 ) ) ) )
= $false )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_first @ SV11 @ SV12 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV11 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV11 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[149]) ).
thf(158,plain,
! [SV2: $i,SV4: $i,SV3: $i,SV17: $i,SV15: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV15 @ SV17 ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV15 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV2 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[150]) ).
thf(159,plain,
! [SV2: $i,SV4: $i,SV3: $i,SV18: $i,SV16: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV16 @ SV18 ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV16 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV16 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV4 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[151]) ).
thf(160,plain,
! [SV4: $i,SV13: $i,SV14: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 ) )
= $true )
| ( ( ic @ SV14 )
= $true )
| ( ( iext @ uri_rdf_first @ SV13 @ SV14 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV13 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[152]) ).
thf(161,plain,
! [SV3: $i,SV4: $i,SV9: $i,SV10: $i,SV2: $i] :
( ( ( ~ ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ~ ( icext @ SV4 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) ) )
= $true )
| ( ( ~ ( ic @ SV2 )
| ~ ( ic @ SV4 )
| ~ ( ic @ SV10 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $true )
| ( ( iext @ uri_rdf_first @ SV9 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[153]) ).
thf(162,plain,
! [SV3: $i,SV4: $i,SV9: $i,SV10: $i,SV2: $i] :
( ( ( ~ ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
| ~ ( icext @ SV10 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) ) )
= $true )
| ( ( ~ ( ic @ SV2 )
| ~ ( ic @ SV4 )
| ~ ( ic @ SV10 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $true )
| ( ( iext @ uri_rdf_first @ SV9 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[154]) ).
thf(163,plain,
! [SV3: $i,SV9: $i,SV10: $i,SV4: $i,SV2: $i] :
( ( ( ~ ( ic @ SV2 )
| ~ ( ic @ SV4 ) )
= $true )
| ( ( ~ ( ic @ SV10 ) )
= $true )
| ( ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
= $true )
| ( ( icext @ SV10 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
= $true )
| ( ( icext @ SV4 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $true )
| ( ( iext @ uri_rdf_first @ SV9 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[155]) ).
thf(164,plain,
! [SV11: $i,SV3: $i,SV12: $i,SV4: $i,SV2: $i] :
( ( ( ! [SY64: $i] :
( ~ ( icext @ SV2 @ SY64 )
| ( icext @ SV4 @ SY64 )
| ( icext @ SV12 @ SY64 ) ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_first @ SV11 @ SV12 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV11 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV11 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[156]) ).
thf(165,plain,
! [SV11: $i,SV3: $i,SV12: $i,SV2: $i,SV4: $i] :
( ( ( ~ ( ~ ! [SY49: $i] :
( ~ ( icext @ SV4 @ SY49 )
| ( icext @ SV2 @ SY49 ) )
| ~ ! [SY66: $i] :
( ~ ( icext @ SV12 @ SY66 )
| ( icext @ SV2 @ SY66 ) ) ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_first @ SV11 @ SV12 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV11 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV11 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[157]) ).
thf(166,plain,
! [SV2: $i,SV4: $i,SV3: $i,SV17: $i,SV15: $i] :
( ( ( iext @ uri_rdf_first @ SV15 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV15 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[158]) ).
thf(167,plain,
! [SV2: $i,SV4: $i,SV3: $i,SV18: $i,SV16: $i] :
( ( ( iext @ uri_rdf_first @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV16 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV16 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(168,plain,
! [SV4: $i,SV13: $i,SV14: $i,SV3: $i,SV2: $i] :
( ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $false )
| ( ( ic @ SV14 )
= $true )
| ( ( iext @ uri_rdf_first @ SV13 @ SV14 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV13 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(169,plain,
! [SV3: $i,SV4: $i,SV9: $i,SV10: $i,SV2: $i] :
( ( ( ~ ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) ) )
= $true )
| ( ( ~ ( icext @ SV4 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) ) )
= $true )
| ( ( ~ ( ic @ SV2 )
| ~ ( ic @ SV4 )
| ~ ( ic @ SV10 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $true )
| ( ( iext @ uri_rdf_first @ SV9 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[161]) ).
thf(170,plain,
! [SV3: $i,SV4: $i,SV9: $i,SV10: $i,SV2: $i] :
( ( ( ~ ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) ) )
= $true )
| ( ( ~ ( icext @ SV10 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) ) )
= $true )
| ( ( ~ ( ic @ SV2 )
| ~ ( ic @ SV4 )
| ~ ( ic @ SV10 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $true )
| ( ( iext @ uri_rdf_first @ SV9 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[162]) ).
thf(171,plain,
! [SV3: $i,SV9: $i,SV10: $i,SV4: $i,SV2: $i] :
( ( ( ~ ( ic @ SV2 ) )
= $true )
| ( ( ~ ( ic @ SV4 ) )
= $true )
| ( ( ~ ( ic @ SV10 ) )
= $true )
| ( ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
= $true )
| ( ( icext @ SV10 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
= $true )
| ( ( icext @ SV4 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $true )
| ( ( iext @ uri_rdf_first @ SV9 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[163]) ).
thf(172,plain,
! [SV11: $i,SV3: $i,SV12: $i,SV4: $i,SV19: $i,SV2: $i] :
( ( ( ~ ( icext @ SV2 @ SV19 )
| ( icext @ SV4 @ SV19 )
| ( icext @ SV12 @ SV19 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_first @ SV11 @ SV12 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV11 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV11 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[164]) ).
thf(173,plain,
! [SV11: $i,SV3: $i,SV12: $i,SV2: $i,SV4: $i] :
( ( ( ~ ! [SY49: $i] :
( ~ ( icext @ SV4 @ SY49 )
| ( icext @ SV2 @ SY49 ) )
| ~ ! [SY66: $i] :
( ~ ( icext @ SV12 @ SY66 )
| ( icext @ SV2 @ SY66 ) ) )
= $false )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_first @ SV11 @ SV12 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV11 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV11 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[165]) ).
thf(174,plain,
! [SV2: $i,SV17: $i,SV4: $i,SV3: $i,SV15: $i] :
( ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV15 @ SV17 )
= $false )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[166]) ).
thf(175,plain,
! [SV2: $i,SV18: $i,SV4: $i,SV3: $i,SV16: $i] :
( ( ( iext @ uri_rdf_rest @ SV16 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV16 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV18 )
= $false )
| ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
| ( ic @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[167]) ).
thf(176,plain,
! [SV3: $i,SV4: $i,SV9: $i,SV10: $i,SV2: $i] :
( ( ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
= $false )
| ( ( ~ ( icext @ SV4 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) ) )
= $true )
| ( ( ~ ( ic @ SV2 )
| ~ ( ic @ SV4 )
| ~ ( ic @ SV10 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $true )
| ( ( iext @ uri_rdf_first @ SV9 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(177,plain,
! [SV3: $i,SV4: $i,SV9: $i,SV10: $i,SV2: $i] :
( ( ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
= $false )
| ( ( ~ ( icext @ SV10 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) ) )
= $true )
| ( ( ~ ( ic @ SV2 )
| ~ ( ic @ SV4 )
| ~ ( ic @ SV10 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $true )
| ( ( iext @ uri_rdf_first @ SV9 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(178,plain,
! [SV3: $i,SV9: $i,SV10: $i,SV4: $i,SV2: $i] :
( ( ( ic @ SV2 )
= $false )
| ( ( ~ ( ic @ SV4 ) )
= $true )
| ( ( ~ ( ic @ SV10 ) )
= $true )
| ( ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
= $true )
| ( ( icext @ SV10 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
= $true )
| ( ( icext @ SV4 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $true )
| ( ( iext @ uri_rdf_first @ SV9 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(179,plain,
! [SV11: $i,SV3: $i,SV12: $i,SV4: $i,SV19: $i,SV2: $i] :
( ( ( ~ ( icext @ SV2 @ SV19 ) )
= $true )
| ( ( ( icext @ SV4 @ SV19 )
| ( icext @ SV12 @ SV19 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_first @ SV11 @ SV12 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV11 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV11 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[172]) ).
thf(180,plain,
! [SV12: $i,SV11: $i,SV3: $i,SV2: $i,SV4: $i] :
( ( ( ~ ! [SY49: $i] :
( ~ ( icext @ SV4 @ SY49 )
| ( icext @ SV2 @ SY49 ) ) )
= $false )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_first @ SV11 @ SV12 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV11 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV11 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[173]) ).
thf(181,plain,
! [SV4: $i,SV11: $i,SV3: $i,SV2: $i,SV12: $i] :
( ( ( ~ ! [SY66: $i] :
( ~ ( icext @ SV12 @ SY66 )
| ( icext @ SV2 @ SY66 ) ) )
= $false )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_first @ SV11 @ SV12 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV11 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV11 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[173]) ).
thf(182,plain,
! [SV4: $i,SV17: $i,SV15: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 ) )
= $true )
| ( ( ic @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV15 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[174]) ).
thf(183,plain,
! [SV18: $i,SV16: $i,SV4: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_owl_unionOf @ SV2 @ SV3 ) )
= $true )
| ( ( ic @ SV4 )
= $true )
| ( ( iext @ uri_rdf_first @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV16 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[175]) ).
thf(184,plain,
! [SV2: $i,SV3: $i,SV9: $i,SV10: $i,SV4: $i] :
( ( ( icext @ SV4 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
= $false )
| ( ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
= $false )
| ( ( ~ ( ic @ SV2 )
| ~ ( ic @ SV4 )
| ~ ( ic @ SV10 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $true )
| ( ( iext @ uri_rdf_first @ SV9 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(185,plain,
! [SV2: $i,SV3: $i,SV4: $i,SV9: $i,SV10: $i] :
( ( ( icext @ SV10 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
= $false )
| ( ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
= $false )
| ( ( ~ ( ic @ SV2 )
| ~ ( ic @ SV4 )
| ~ ( ic @ SV10 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $true )
| ( ( iext @ uri_rdf_first @ SV9 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(186,plain,
! [SV3: $i,SV9: $i,SV10: $i,SV2: $i,SV4: $i] :
( ( ( ic @ SV4 )
= $false )
| ( ( ic @ SV2 )
= $false )
| ( ( ~ ( ic @ SV10 ) )
= $true )
| ( ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
= $true )
| ( ( icext @ SV10 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
= $true )
| ( ( icext @ SV4 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $true )
| ( ( iext @ uri_rdf_first @ SV9 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[178]) ).
thf(187,plain,
! [SV11: $i,SV3: $i,SV12: $i,SV4: $i,SV19: $i,SV2: $i] :
( ( ( icext @ SV2 @ SV19 )
= $false )
| ( ( ( icext @ SV4 @ SV19 )
| ( icext @ SV12 @ SV19 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_first @ SV11 @ SV12 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV11 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV11 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[179]) ).
thf(188,plain,
! [SV12: $i,SV11: $i,SV3: $i,SV2: $i,SV4: $i] :
( ( ( ! [SY49: $i] :
( ~ ( icext @ SV4 @ SY49 )
| ( icext @ SV2 @ SY49 ) ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_first @ SV11 @ SV12 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV11 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV11 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[180]) ).
thf(189,plain,
! [SV4: $i,SV11: $i,SV3: $i,SV2: $i,SV12: $i] :
( ( ( ! [SY66: $i] :
( ~ ( icext @ SV12 @ SY66 )
| ( icext @ SV2 @ SY66 ) ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_first @ SV11 @ SV12 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV11 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV11 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[181]) ).
thf(190,plain,
! [SV4: $i,SV17: $i,SV15: $i,SV3: $i,SV2: $i] :
( ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $false )
| ( ( ic @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV15 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV15 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(191,plain,
! [SV18: $i,SV16: $i,SV4: $i,SV3: $i,SV2: $i] :
( ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $false )
| ( ( ic @ SV4 )
= $true )
| ( ( iext @ uri_rdf_first @ SV16 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV16 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(192,plain,
! [SV3: $i,SV9: $i,SV10: $i,SV4: $i,SV2: $i] :
( ( ( ~ ( ic @ SV2 )
| ~ ( ic @ SV4 ) )
= $true )
| ( ( ~ ( ic @ SV10 ) )
= $true )
| ( ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
= $false )
| ( ( icext @ SV4 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
= $false )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $true )
| ( ( iext @ uri_rdf_first @ SV9 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[184]) ).
thf(193,plain,
! [SV3: $i,SV9: $i,SV10: $i,SV4: $i,SV2: $i] :
( ( ( ~ ( ic @ SV2 )
| ~ ( ic @ SV4 ) )
= $true )
| ( ( ~ ( ic @ SV10 ) )
= $true )
| ( ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
= $false )
| ( ( icext @ SV10 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
= $false )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $true )
| ( ( iext @ uri_rdf_first @ SV9 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[185]) ).
thf(194,plain,
! [SV3: $i,SV9: $i,SV4: $i,SV2: $i,SV10: $i] :
( ( ( ic @ SV10 )
= $false )
| ( ( ic @ SV2 )
= $false )
| ( ( ic @ SV4 )
= $false )
| ( ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
= $true )
| ( ( icext @ SV10 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
= $true )
| ( ( icext @ SV4 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $true )
| ( ( iext @ uri_rdf_first @ SV9 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(195,plain,
! [SV11: $i,SV3: $i,SV2: $i,SV12: $i,SV19: $i,SV4: $i] :
( ( ( icext @ SV4 @ SV19 )
= $true )
| ( ( icext @ SV12 @ SV19 )
= $true )
| ( ( icext @ SV2 @ SV19 )
= $false )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_first @ SV11 @ SV12 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV11 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV11 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[187]) ).
thf(196,plain,
! [SV12: $i,SV11: $i,SV3: $i,SV2: $i,SV20: $i,SV4: $i] :
( ( ( ~ ( icext @ SV4 @ SV20 )
| ( icext @ SV2 @ SV20 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_first @ SV11 @ SV12 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV11 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV11 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(197,plain,
! [SV4: $i,SV11: $i,SV3: $i,SV2: $i,SV21: $i,SV12: $i] :
( ( ( ~ ( icext @ SV12 @ SV21 )
| ( icext @ SV2 @ SV21 ) )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_first @ SV11 @ SV12 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV11 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV11 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[189]) ).
thf(198,plain,
! [SV3: $i,SV9: $i,SV10: $i,SV4: $i,SV2: $i] :
( ( ( ~ ( ic @ SV2 ) )
= $true )
| ( ( ~ ( ic @ SV4 ) )
= $true )
| ( ( ~ ( ic @ SV10 ) )
= $true )
| ( ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
= $false )
| ( ( icext @ SV4 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
= $false )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $true )
| ( ( iext @ uri_rdf_first @ SV9 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[192]) ).
thf(199,plain,
! [SV3: $i,SV9: $i,SV10: $i,SV4: $i,SV2: $i] :
( ( ( ~ ( ic @ SV2 ) )
= $true )
| ( ( ~ ( ic @ SV4 ) )
= $true )
| ( ( ~ ( ic @ SV10 ) )
= $true )
| ( ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
= $false )
| ( ( icext @ SV10 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
= $false )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $true )
| ( ( iext @ uri_rdf_first @ SV9 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[193]) ).
thf(200,plain,
! [SV12: $i,SV11: $i,SV3: $i,SV2: $i,SV20: $i,SV4: $i] :
( ( ( ~ ( icext @ SV4 @ SV20 ) )
= $true )
| ( ( icext @ SV2 @ SV20 )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_first @ SV11 @ SV12 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV11 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV11 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[196]) ).
thf(201,plain,
! [SV4: $i,SV11: $i,SV3: $i,SV2: $i,SV21: $i,SV12: $i] :
( ( ( ~ ( icext @ SV12 @ SV21 ) )
= $true )
| ( ( icext @ SV2 @ SV21 )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_first @ SV11 @ SV12 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV11 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV11 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[197]) ).
thf(202,plain,
! [SV3: $i,SV9: $i,SV10: $i,SV4: $i,SV2: $i] :
( ( ( ic @ SV2 )
= $false )
| ( ( ~ ( ic @ SV4 ) )
= $true )
| ( ( ~ ( ic @ SV10 ) )
= $true )
| ( ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
= $false )
| ( ( icext @ SV4 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
= $false )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $true )
| ( ( iext @ uri_rdf_first @ SV9 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(203,plain,
! [SV3: $i,SV9: $i,SV10: $i,SV4: $i,SV2: $i] :
( ( ( ic @ SV2 )
= $false )
| ( ( ~ ( ic @ SV4 ) )
= $true )
| ( ( ~ ( ic @ SV10 ) )
= $true )
| ( ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
= $false )
| ( ( icext @ SV10 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
= $false )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $true )
| ( ( iext @ uri_rdf_first @ SV9 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(204,plain,
! [SV12: $i,SV11: $i,SV3: $i,SV2: $i,SV20: $i,SV4: $i] :
( ( ( icext @ SV4 @ SV20 )
= $false )
| ( ( icext @ SV2 @ SV20 )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_first @ SV11 @ SV12 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV11 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV11 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(205,plain,
! [SV4: $i,SV11: $i,SV3: $i,SV2: $i,SV21: $i,SV12: $i] :
( ( ( icext @ SV12 @ SV21 )
= $false )
| ( ( icext @ SV2 @ SV21 )
= $true )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_first @ SV11 @ SV12 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV11 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV11 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(206,plain,
! [SV3: $i,SV9: $i,SV10: $i,SV2: $i,SV4: $i] :
( ( ( ic @ SV4 )
= $false )
| ( ( ic @ SV2 )
= $false )
| ( ( ~ ( ic @ SV10 ) )
= $true )
| ( ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
= $false )
| ( ( icext @ SV4 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
= $false )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $true )
| ( ( iext @ uri_rdf_first @ SV9 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(207,plain,
! [SV3: $i,SV9: $i,SV10: $i,SV2: $i,SV4: $i] :
( ( ( ic @ SV4 )
= $false )
| ( ( ic @ SV2 )
= $false )
| ( ( ~ ( ic @ SV10 ) )
= $true )
| ( ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
= $false )
| ( ( icext @ SV10 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
= $false )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $true )
| ( ( iext @ uri_rdf_first @ SV9 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(208,plain,
! [SV3: $i,SV9: $i,SV4: $i,SV2: $i,SV10: $i] :
( ( ( ic @ SV10 )
= $false )
| ( ( ic @ SV2 )
= $false )
| ( ( ic @ SV4 )
= $false )
| ( ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
= $false )
| ( ( icext @ SV4 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
= $false )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $true )
| ( ( iext @ uri_rdf_first @ SV9 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[206]) ).
thf(209,plain,
! [SV3: $i,SV9: $i,SV4: $i,SV2: $i,SV10: $i] :
( ( ( ic @ SV10 )
= $false )
| ( ( ic @ SV2 )
= $false )
| ( ( ic @ SV4 )
= $false )
| ( ( icext @ SV2 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
= $false )
| ( ( icext @ SV10 @ ( sK4_X @ SV10 @ SV9 @ SV4 @ SV3 @ SV2 ) )
= $false )
| ( ( iext @ uri_owl_unionOf @ SV2 @ SV3 )
= $true )
| ( ( iext @ uri_rdf_first @ SV9 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV3 @ SV4 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV3 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(210,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[37,209,208,205,204,195,194,191,190,168,146,145,124,104,85,69,56,55,54,38]) ).
thf(211,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[210]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWB014+2 : TPTP v8.1.0. Released v5.2.0.
% 0.12/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 1 08:42:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.34
% 0.18/0.34 No.of.Axioms: 3
% 0.18/0.34
% 0.18/0.34 Length.of.Defs: 0
% 0.18/0.34
% 0.18/0.34 Contains.Choice.Funs: false
% 0.18/0.35 (rf:0,axioms:3,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:5,loop_count:0,foatp_calls:0,translation:fof_full)...................
% 0.39/0.58
% 0.39/0.58 ********************************
% 0.39/0.58 * All subproblems solved! *
% 0.39/0.58 ********************************
% 0.39/0.58 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:3,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:210,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.41/0.61
% 0.41/0.61 %**** Beginning of derivation protocol ****
% 0.41/0.61 % SZS output start CNFRefutation
% See solution above
% 0.41/0.61
% 0.41/0.61 %**** End of derivation protocol ****
% 0.41/0.61 %**** no. of clauses in derivation: 211 ****
% 0.41/0.61 %**** clause counter: 210 ****
% 0.41/0.61
% 0.41/0.61 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:3,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:210,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------