%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SWB029+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:50:48 AM UTC 2026
% Result : Theorem 0.50s 0.28s
% Output : CNFRefutation 0.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 56
% Number of leaves : 5
% Syntax : Number of formulae : 216 ( 86 unt; 0 typ; 0 def)
% Number of atoms : 3604 ( 863 equ; 0 cnn)
% Maximal formula atoms : 11 ( 16 avg)
% Number of connectives : 9022 (2495 ~;1593 |; 51 &;4865 @)
% ( 12 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 18 usr; 16 con; 0-5 aty)
% Number of variables : 773 ( 0 ^; 761 !; 12 ?; 773 :)
% 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_SX0,type,
sK1_SX0: $i ).
thf(tp_sK2_SY30,type,
sK2_SY30: $i ).
thf(tp_sK3_SY42,type,
sK3_SY42: $i ).
thf(tp_sK4_SY44,type,
sK4_SY44: $i ).
thf(tp_sK5_SY41,type,
sK5_SY41: $i > $i > $i > $i > $i > $i ).
thf(tp_uri_ex_A,type,
uri_ex_A: $i ).
thf(tp_uri_ex_B,type,
uri_ex_B: $i ).
thf(tp_uri_ex_w,type,
uri_ex_w: $i ).
thf(tp_uri_owl_Class,type,
uri_owl_Class: $i ).
thf(tp_uri_owl_complementOf,type,
uri_owl_complementOf: $i ).
thf(tp_uri_owl_intersectionOf,type,
uri_owl_intersectionOf: $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_x: $i,BNODE_y: $i,BNODE_l1: $i,BNODE_l2: $i] :
( ( iext @ uri_rdf_type @ uri_ex_A @ uri_owl_Class )
& ( iext @ uri_rdf_type @ uri_ex_B @ uri_owl_Class )
& ( iext @ uri_rdf_type @ uri_ex_w @ BNODE_x )
& ( iext @ uri_owl_intersectionOf @ BNODE_x @ BNODE_l1 )
& ( iext @ uri_rdf_first @ BNODE_l1 @ uri_ex_A )
& ( iext @ uri_rdf_rest @ BNODE_l1 @ BNODE_l2 )
& ( iext @ uri_rdf_first @ BNODE_l2 @ BNODE_y )
& ( iext @ uri_rdf_rest @ BNODE_l2 @ uri_rdf_nil )
& ( iext @ uri_owl_complementOf @ BNODE_y @ uri_ex_A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_029_Ex_Falso_Quodlibet) ).
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_intersectionOf @ 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_intersectionof_class_002) ).
thf(3,axiom,
! [Z: $i,C: $i] :
( ( iext @ uri_owl_complementOf @ Z @ C )
=> ( ( ic @ Z )
& ( ic @ C )
& ! [X: $i] :
( ( icext @ Z @ X )
<=> ~ ( icext @ C @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_complementof_class) ).
thf(4,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(5,conjecture,
iext @ uri_rdf_type @ uri_ex_w @ uri_ex_B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_029_Ex_Falso_Quodlibet) ).
thf(6,negated_conjecture,
( ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_B )
= $false ),
inference(negate_conjecture,[status(cth)],[5]) ).
thf(7,plain,
( ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_B )
= $false ),
inference(unfold_def,[status(thm)],[6]) ).
thf(8,plain,
( ( ? [BNODE_x: $i,BNODE_y: $i,BNODE_l1: $i,BNODE_l2: $i] :
( ( iext @ uri_rdf_type @ uri_ex_A @ uri_owl_Class )
& ( iext @ uri_rdf_type @ uri_ex_B @ uri_owl_Class )
& ( iext @ uri_rdf_type @ uri_ex_w @ BNODE_x )
& ( iext @ uri_owl_intersectionOf @ BNODE_x @ BNODE_l1 )
& ( iext @ uri_rdf_first @ BNODE_l1 @ uri_ex_A )
& ( iext @ uri_rdf_rest @ BNODE_l1 @ BNODE_l2 )
& ( iext @ uri_rdf_first @ BNODE_l2 @ BNODE_y )
& ( iext @ uri_rdf_rest @ BNODE_l2 @ uri_rdf_nil )
& ( iext @ uri_owl_complementOf @ BNODE_y @ uri_ex_A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(9,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_intersectionOf @ 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(10,plain,
( ( ! [Z: $i,C: $i] :
( ( iext @ uri_owl_complementOf @ Z @ C )
=> ( ( ic @ Z )
& ( ic @ C )
& ! [X: $i] :
( ( icext @ Z @ X )
<=> ~ ( icext @ C @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(11,plain,
( ( ! [X: $i,C: $i] :
( ( iext @ uri_rdf_type @ X @ C )
<=> ( icext @ C @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(12,plain,
( ( ~ ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_B ) )
= $true ),
inference(polarity_switch,[status(thm)],[7]) ).
thf(13,plain,
( ( ! [X: $i,C: $i] :
( ( iext @ uri_rdf_type @ X @ C )
<=> ( icext @ C @ X ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(14,plain,
( ( ! [Z: $i,C: $i] :
( ( iext @ uri_owl_complementOf @ Z @ C )
=> ( ( ic @ Z )
& ( ic @ C )
& ! [X: $i] :
( ( icext @ Z @ X )
<=> ~ ( icext @ C @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(15,plain,
( ( ! [Z: $i,S1: $i,C1: $i,S2: $i,C2: $i] :
( ( ( iext @ uri_rdf_first @ S1 @ C1 )
& ( iext @ uri_rdf_rest @ S1 @ S2 )
& ( iext @ uri_rdf_first @ S2 @ C2 )
& ( iext @ uri_rdf_rest @ S2 @ uri_rdf_nil ) )
=> ( ( iext @ uri_owl_intersectionOf @ Z @ S1 )
<=> ( ( ic @ Z )
& ( ic @ C1 )
& ( ic @ C2 )
& ! [X: $i] :
( ( icext @ Z @ X )
<=> ( ( icext @ C1 @ X )
& ( icext @ C2 @ X ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(16,plain,
( ( ? [BNODE_x: $i,BNODE_y: $i,BNODE_l1: $i,BNODE_l2: $i] :
( ( iext @ uri_rdf_type @ uri_ex_A @ uri_owl_Class )
& ( iext @ uri_rdf_type @ uri_ex_B @ uri_owl_Class )
& ( iext @ uri_rdf_type @ uri_ex_w @ BNODE_x )
& ( iext @ uri_owl_intersectionOf @ BNODE_x @ BNODE_l1 )
& ( iext @ uri_rdf_first @ BNODE_l1 @ uri_ex_A )
& ( iext @ uri_rdf_rest @ BNODE_l1 @ BNODE_l2 )
& ( iext @ uri_rdf_first @ BNODE_l2 @ BNODE_y )
& ( iext @ uri_rdf_rest @ BNODE_l2 @ uri_rdf_nil )
& ( iext @ uri_owl_complementOf @ BNODE_y @ uri_ex_A ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(17,plain,
( ( ~ ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_B ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(18,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
| ( icext @ SX1 @ SX0 ) )
| ~ ( ~ ( icext @ SX1 @ SX0 )
| ( iext @ uri_rdf_type @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(19,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SX1 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SX1 @ SX3 ) )
| ~ ( iext @ uri_rdf_first @ SX3 @ SX4 ) )
| ~ ( iext @ uri_rdf_rest @ SX3 @ uri_rdf_nil ) )
| ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SX0 @ SX1 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SX0 )
| ~ ( ic @ SX2 ) )
| ~ ( ic @ SX4 ) )
| ~ ! [SX5: $i] :
~ ( ~ ( ~ ( icext @ SX0 @ SX5 )
| ~ ( ~ ( icext @ SX2 @ SX5 )
| ~ ( icext @ SX4 @ SX5 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SX2 @ SX5 )
| ~ ( icext @ SX4 @ SX5 ) )
| ( icext @ SX0 @ SX5 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SX0 )
| ~ ( ic @ SX2 ) )
| ~ ( ic @ SX4 ) )
| ~ ! [SX5: $i] :
~ ( ~ ( ~ ( icext @ SX0 @ SX5 )
| ~ ( ~ ( icext @ SX2 @ SX5 )
| ~ ( icext @ SX4 @ SX5 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SX2 @ SX5 )
| ~ ( icext @ SX4 @ SX5 ) )
| ( icext @ SX0 @ SX5 ) ) ) )
| ( iext @ uri_owl_intersectionOf @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(20,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_complementOf @ SX0 @ SX1 )
| ~ ( ~ ~ ( ~ ( ic @ SX0 )
| ~ ( ic @ SX1 ) )
| ~ ! [SX2: $i] :
~ ( ~ ( ~ ( icext @ SX0 @ SX2 )
| ~ ( icext @ SX1 @ SX2 ) )
| ~ ( ~ ~ ( icext @ SX1 @ SX2 )
| ( icext @ SX0 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(21,plain,
( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_A @ uri_owl_Class )
| ~ ( iext @ uri_rdf_type @ uri_ex_B @ uri_owl_Class ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ SX0 ) )
| ~ ( iext @ uri_owl_intersectionOf @ SX0 @ SX2 ) )
| ~ ( iext @ uri_rdf_first @ SX2 @ uri_ex_A ) )
| ~ ( iext @ uri_rdf_rest @ SX2 @ SX3 ) )
| ~ ( iext @ uri_rdf_first @ SX3 @ SX1 ) )
| ~ ( iext @ uri_rdf_rest @ SX3 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_complementOf @ SX1 @ uri_ex_A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(22,plain,
( ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_B )
= $false ),
inference(extcnf_not_pos,[status(thm)],[17]) ).
thf(23,plain,
! [SV1: $i] :
( ( ! [SY15: $i] :
~ ( ~ ( ~ ( iext @ uri_rdf_type @ SV1 @ SY15 )
| ( icext @ SY15 @ SV1 ) )
| ~ ( ~ ( icext @ SY15 @ SV1 )
| ( iext @ uri_rdf_type @ SV1 @ SY15 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(24,plain,
! [SV2: $i] :
( ( ! [SY16: $i,SY17: $i,SY18: $i,SY19: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SY16 @ SY17 )
| ~ ( iext @ uri_rdf_rest @ SY16 @ SY18 ) )
| ~ ( iext @ uri_rdf_first @ SY18 @ SY19 ) )
| ~ ( iext @ uri_rdf_rest @ SY18 @ uri_rdf_nil ) )
| ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV2 @ SY16 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SY17 ) )
| ~ ( ic @ SY19 ) )
| ~ ! [SY20: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY20 )
| ~ ( ~ ( icext @ SY17 @ SY20 )
| ~ ( icext @ SY19 @ SY20 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SY17 @ SY20 )
| ~ ( icext @ SY19 @ SY20 ) )
| ( icext @ SV2 @ SY20 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SY17 ) )
| ~ ( ic @ SY19 ) )
| ~ ! [SY21: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY21 )
| ~ ( ~ ( icext @ SY17 @ SY21 )
| ~ ( icext @ SY19 @ SY21 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SY17 @ SY21 )
| ~ ( icext @ SY19 @ SY21 ) )
| ( icext @ SV2 @ SY21 ) ) ) )
| ( iext @ uri_owl_intersectionOf @ SV2 @ SY16 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(25,plain,
! [SV3: $i] :
( ( ! [SY22: $i] :
( ~ ( iext @ uri_owl_complementOf @ SV3 @ SY22 )
| ~ ( ~ ~ ( ~ ( ic @ SV3 )
| ~ ( ic @ SY22 ) )
| ~ ! [SY23: $i] :
~ ( ~ ( ~ ( icext @ SV3 @ SY23 )
| ~ ( icext @ SY22 @ SY23 ) )
| ~ ( ~ ~ ( icext @ SY22 @ SY23 )
| ( icext @ SV3 @ SY23 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[20]) ).
thf(26,plain,
( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_A @ uri_owl_Class )
| ~ ( iext @ uri_rdf_type @ uri_ex_B @ uri_owl_Class ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ SX0 ) )
| ~ ( iext @ uri_owl_intersectionOf @ SX0 @ SX2 ) )
| ~ ( iext @ uri_rdf_first @ SX2 @ uri_ex_A ) )
| ~ ( iext @ uri_rdf_rest @ SX2 @ SX3 ) )
| ~ ( iext @ uri_rdf_first @ SX3 @ SX1 ) )
| ~ ( iext @ uri_rdf_rest @ SX3 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_complementOf @ SX1 @ uri_ex_A ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[21]) ).
thf(27,plain,
! [SV4: $i,SV1: $i] :
( ( ~ ( ~ ( ~ ( iext @ uri_rdf_type @ SV1 @ SV4 )
| ( icext @ SV4 @ SV1 ) )
| ~ ( ~ ( icext @ SV4 @ SV1 )
| ( iext @ uri_rdf_type @ SV1 @ SV4 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[23]) ).
thf(28,plain,
! [SV2: $i,SV5: $i] :
( ( ! [SY24: $i,SY25: $i,SY26: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV5 @ SY24 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY25 ) )
| ~ ( iext @ uri_rdf_first @ SY25 @ SY26 ) )
| ~ ( iext @ uri_rdf_rest @ SY25 @ uri_rdf_nil ) )
| ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SY24 ) )
| ~ ( ic @ SY26 ) )
| ~ ! [SY20: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY20 )
| ~ ( ~ ( icext @ SY24 @ SY20 )
| ~ ( icext @ SY26 @ SY20 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SY24 @ SY20 )
| ~ ( icext @ SY26 @ SY20 ) )
| ( icext @ SV2 @ SY20 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SY24 ) )
| ~ ( ic @ SY26 ) )
| ~ ! [SY21: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY21 )
| ~ ( ~ ( icext @ SY24 @ SY21 )
| ~ ( icext @ SY26 @ SY21 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SY24 @ SY21 )
| ~ ( icext @ SY26 @ SY21 ) )
| ( icext @ SV2 @ SY21 ) ) ) )
| ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[24]) ).
thf(29,plain,
! [SV6: $i,SV3: $i] :
( ( ~ ( iext @ uri_owl_complementOf @ SV3 @ SV6 )
| ~ ( ~ ~ ( ~ ( ic @ SV3 )
| ~ ( ic @ SV6 ) )
| ~ ! [SY29: $i] :
~ ( ~ ( ~ ( icext @ SV3 @ SY29 )
| ~ ( icext @ SV6 @ SY29 ) )
| ~ ( ~ ~ ( icext @ SV6 @ SY29 )
| ( icext @ SV3 @ SY29 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[25]) ).
thf(30,plain,
( ( ~ ~ ! [SY30: $i] :
~ ~ ! [SY31: $i] :
~ ~ ! [SY32: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_A @ uri_owl_Class )
| ~ ( iext @ uri_rdf_type @ uri_ex_B @ uri_owl_Class ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_SX0 ) )
| ~ ( iext @ uri_owl_intersectionOf @ sK1_SX0 @ SY31 ) )
| ~ ( iext @ uri_rdf_first @ SY31 @ uri_ex_A ) )
| ~ ( iext @ uri_rdf_rest @ SY31 @ SY32 ) )
| ~ ( iext @ uri_rdf_first @ SY32 @ SY30 ) )
| ~ ( iext @ uri_rdf_rest @ SY32 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_complementOf @ SY30 @ uri_ex_A ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[26]) ).
thf(31,plain,
! [SV4: $i,SV1: $i] :
( ( ~ ( ~ ( iext @ uri_rdf_type @ SV1 @ SV4 )
| ( icext @ SV4 @ SV1 ) )
| ~ ( ~ ( icext @ SV4 @ SV1 )
| ( iext @ uri_rdf_type @ SV1 @ SV4 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(32,plain,
! [SV2: $i,SV7: $i,SV5: $i] :
( ( ! [SY33: $i,SY34: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV5 @ SV7 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SY33 ) )
| ~ ( iext @ uri_rdf_first @ SY33 @ SY34 ) )
| ~ ( iext @ uri_rdf_rest @ SY33 @ uri_rdf_nil ) )
| ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) )
| ~ ( ic @ SY34 ) )
| ~ ! [SY35: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY35 )
| ~ ( ~ ( icext @ SV7 @ SY35 )
| ~ ( icext @ SY34 @ SY35 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY35 )
| ~ ( icext @ SY34 @ SY35 ) )
| ( icext @ SV2 @ SY35 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) )
| ~ ( ic @ SY34 ) )
| ~ ! [SY36: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY36 )
| ~ ( ~ ( icext @ SV7 @ SY36 )
| ~ ( icext @ SY34 @ SY36 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY36 )
| ~ ( icext @ SY34 @ SY36 ) )
| ( icext @ SV2 @ SY36 ) ) ) )
| ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(33,plain,
! [SV6: $i,SV3: $i] :
( ( ( ~ ( iext @ uri_owl_complementOf @ SV3 @ SV6 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ic @ SV3 )
| ~ ( ic @ SV6 ) )
| ~ ! [SY29: $i] :
~ ( ~ ( ~ ( icext @ SV3 @ SY29 )
| ~ ( icext @ SV6 @ SY29 ) )
| ~ ( ~ ~ ( icext @ SV6 @ SY29 )
| ( icext @ SV3 @ SY29 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[29]) ).
thf(34,plain,
( ( ~ ! [SY30: $i] :
~ ~ ! [SY31: $i] :
~ ~ ! [SY32: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_A @ uri_owl_Class )
| ~ ( iext @ uri_rdf_type @ uri_ex_B @ uri_owl_Class ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_SX0 ) )
| ~ ( iext @ uri_owl_intersectionOf @ sK1_SX0 @ SY31 ) )
| ~ ( iext @ uri_rdf_first @ SY31 @ uri_ex_A ) )
| ~ ( iext @ uri_rdf_rest @ SY31 @ SY32 ) )
| ~ ( iext @ uri_rdf_first @ SY32 @ SY30 ) )
| ~ ( iext @ uri_rdf_rest @ SY32 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_complementOf @ SY30 @ uri_ex_A ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[30]) ).
thf(35,plain,
! [SV4: $i,SV1: $i] :
( ( ~ ( ~ ( iext @ uri_rdf_type @ SV1 @ SV4 )
| ( icext @ SV4 @ SV1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[31]) ).
thf(36,plain,
! [SV1: $i,SV4: $i] :
( ( ~ ( ~ ( icext @ SV4 @ SV1 )
| ( iext @ uri_rdf_type @ SV1 @ SV4 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[31]) ).
thf(37,plain,
! [SV2: $i,SV8: $i,SV7: $i,SV5: $i] :
( ( ! [SY37: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV5 @ SV7 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SV8 ) )
| ~ ( iext @ uri_rdf_first @ SV8 @ SY37 ) )
| ~ ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil ) )
| ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) )
| ~ ( ic @ SY37 ) )
| ~ ! [SY35: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY35 )
| ~ ( ~ ( icext @ SV7 @ SY35 )
| ~ ( icext @ SY37 @ SY35 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY35 )
| ~ ( icext @ SY37 @ SY35 ) )
| ( icext @ SV2 @ SY35 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) )
| ~ ( ic @ SY37 ) )
| ~ ! [SY36: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY36 )
| ~ ( ~ ( icext @ SV7 @ SY36 )
| ~ ( icext @ SY37 @ SY36 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY36 )
| ~ ( icext @ SY37 @ SY36 ) )
| ( icext @ SV2 @ SY36 ) ) ) )
| ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(38,plain,
! [SV6: $i,SV3: $i] :
( ( ( iext @ uri_owl_complementOf @ SV3 @ SV6 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( ic @ SV3 )
| ~ ( ic @ SV6 ) )
| ~ ! [SY29: $i] :
~ ( ~ ( ~ ( icext @ SV3 @ SY29 )
| ~ ( icext @ SV6 @ SY29 ) )
| ~ ( ~ ~ ( icext @ SV6 @ SY29 )
| ( icext @ SV3 @ SY29 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(39,plain,
( ( ! [SY30: $i] :
~ ~ ! [SY31: $i] :
~ ~ ! [SY32: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_A @ uri_owl_Class )
| ~ ( iext @ uri_rdf_type @ uri_ex_B @ uri_owl_Class ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_SX0 ) )
| ~ ( iext @ uri_owl_intersectionOf @ sK1_SX0 @ SY31 ) )
| ~ ( iext @ uri_rdf_first @ SY31 @ uri_ex_A ) )
| ~ ( iext @ uri_rdf_rest @ SY31 @ SY32 ) )
| ~ ( iext @ uri_rdf_first @ SY32 @ SY30 ) )
| ~ ( iext @ uri_rdf_rest @ SY32 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_complementOf @ SY30 @ uri_ex_A ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(40,plain,
! [SV4: $i,SV1: $i] :
( ( ~ ( iext @ uri_rdf_type @ SV1 @ SV4 )
| ( icext @ SV4 @ SV1 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[35]) ).
thf(41,plain,
! [SV1: $i,SV4: $i] :
( ( ~ ( icext @ SV4 @ SV1 )
| ( iext @ uri_rdf_type @ SV1 @ SV4 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[36]) ).
thf(42,plain,
! [SV2: $i,SV9: $i,SV8: $i,SV7: $i,SV5: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV5 @ SV7 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SV8 ) )
| ~ ( iext @ uri_rdf_first @ SV8 @ SV9 ) )
| ~ ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil ) )
| ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) )
| ~ ( ic @ SV9 ) )
| ~ ! [SY40: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY40 )
| ~ ( ~ ( icext @ SV7 @ SY40 )
| ~ ( icext @ SV9 @ SY40 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY40 )
| ~ ( icext @ SV9 @ SY40 ) )
| ( icext @ SV2 @ SY40 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) )
| ~ ( ic @ SV9 ) )
| ~ ! [SY41: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY41 )
| ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) )
| ( icext @ SV2 @ SY41 ) ) ) )
| ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(43,plain,
! [SV6: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( ic @ SV3 )
| ~ ( ic @ SV6 ) )
| ~ ! [SY29: $i] :
~ ( ~ ( ~ ( icext @ SV3 @ SY29 )
| ~ ( icext @ SV6 @ SY29 ) )
| ~ ( ~ ~ ( icext @ SV6 @ SY29 )
| ( icext @ SV3 @ SY29 ) ) ) )
= $false )
| ( ( iext @ uri_owl_complementOf @ SV3 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(44,plain,
( ( ~ ~ ! [SY42: $i] :
~ ~ ! [SY43: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_A @ uri_owl_Class )
| ~ ( iext @ uri_rdf_type @ uri_ex_B @ uri_owl_Class ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_SX0 ) )
| ~ ( iext @ uri_owl_intersectionOf @ sK1_SX0 @ SY42 ) )
| ~ ( iext @ uri_rdf_first @ SY42 @ uri_ex_A ) )
| ~ ( iext @ uri_rdf_rest @ SY42 @ SY43 ) )
| ~ ( iext @ uri_rdf_first @ SY43 @ sK2_SY30 ) )
| ~ ( iext @ uri_rdf_rest @ SY43 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_complementOf @ sK2_SY30 @ uri_ex_A ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[39]) ).
thf(45,plain,
! [SV4: $i,SV1: $i] :
( ( ( ~ ( iext @ uri_rdf_type @ SV1 @ SV4 ) )
= $true )
| ( ( icext @ SV4 @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[40]) ).
thf(46,plain,
! [SV1: $i,SV4: $i] :
( ( ( ~ ( icext @ SV4 @ SV1 ) )
= $true )
| ( ( iext @ uri_rdf_type @ SV1 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[41]) ).
thf(47,plain,
! [SV2: $i,SV9: $i,SV8: $i,SV7: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV5 @ SV7 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SV8 ) )
| ~ ( iext @ uri_rdf_first @ SV8 @ SV9 ) )
| ~ ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) )
| ~ ( ic @ SV9 ) )
| ~ ! [SY40: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY40 )
| ~ ( ~ ( icext @ SV7 @ SY40 )
| ~ ( icext @ SV9 @ SY40 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY40 )
| ~ ( icext @ SV9 @ SY40 ) )
| ( icext @ SV2 @ SY40 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) )
| ~ ( ic @ SV9 ) )
| ~ ! [SY41: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY41 )
| ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) )
| ( icext @ SV2 @ SY41 ) ) ) )
| ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[42]) ).
thf(48,plain,
! [SV6: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( ic @ SV3 )
| ~ ( ic @ SV6 ) ) )
= $false )
| ( ( iext @ uri_owl_complementOf @ SV3 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[43]) ).
thf(49,plain,
! [SV6: $i,SV3: $i] :
( ( ( ~ ! [SY29: $i] :
~ ( ~ ( ~ ( icext @ SV3 @ SY29 )
| ~ ( icext @ SV6 @ SY29 ) )
| ~ ( ~ ~ ( icext @ SV6 @ SY29 )
| ( icext @ SV3 @ SY29 ) ) ) )
= $false )
| ( ( iext @ uri_owl_complementOf @ SV3 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[43]) ).
thf(50,plain,
( ( ~ ! [SY42: $i] :
~ ~ ! [SY43: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_A @ uri_owl_Class )
| ~ ( iext @ uri_rdf_type @ uri_ex_B @ uri_owl_Class ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_SX0 ) )
| ~ ( iext @ uri_owl_intersectionOf @ sK1_SX0 @ SY42 ) )
| ~ ( iext @ uri_rdf_first @ SY42 @ uri_ex_A ) )
| ~ ( iext @ uri_rdf_rest @ SY42 @ SY43 ) )
| ~ ( iext @ uri_rdf_first @ SY43 @ sK2_SY30 ) )
| ~ ( iext @ uri_rdf_rest @ SY43 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_complementOf @ sK2_SY30 @ uri_ex_A ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[44]) ).
thf(51,plain,
! [SV4: $i,SV1: $i] :
( ( ( iext @ uri_rdf_type @ SV1 @ SV4 )
= $false )
| ( ( icext @ SV4 @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(52,plain,
! [SV1: $i,SV4: $i] :
( ( ( icext @ SV4 @ SV1 )
= $false )
| ( ( iext @ uri_rdf_type @ SV1 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(53,plain,
! [SV2: $i,SV9: $i,SV8: $i,SV7: $i,SV5: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV5 @ SV7 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SV8 ) )
| ~ ( iext @ uri_rdf_first @ SV8 @ SV9 ) )
| ~ ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) )
| ~ ( ic @ SV9 ) )
| ~ ! [SY40: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY40 )
| ~ ( ~ ( icext @ SV7 @ SY40 )
| ~ ( icext @ SV9 @ SY40 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY40 )
| ~ ( icext @ SV9 @ SY40 ) )
| ( icext @ SV2 @ SY40 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) )
| ~ ( ic @ SV9 ) )
| ~ ! [SY41: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY41 )
| ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) )
| ( icext @ SV2 @ SY41 ) ) ) )
| ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(54,plain,
! [SV6: $i,SV3: $i] :
( ( ( ~ ( ~ ( ic @ SV3 )
| ~ ( ic @ SV6 ) ) )
= $true )
| ( ( iext @ uri_owl_complementOf @ SV3 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[48]) ).
thf(55,plain,
! [SV6: $i,SV3: $i] :
( ( ( ! [SY29: $i] :
~ ( ~ ( ~ ( icext @ SV3 @ SY29 )
| ~ ( icext @ SV6 @ SY29 ) )
| ~ ( ~ ~ ( icext @ SV6 @ SY29 )
| ( icext @ SV3 @ SY29 ) ) ) )
= $true )
| ( ( iext @ uri_owl_complementOf @ SV3 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[49]) ).
thf(56,plain,
( ( ! [SY42: $i] :
~ ~ ! [SY43: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_A @ uri_owl_Class )
| ~ ( iext @ uri_rdf_type @ uri_ex_B @ uri_owl_Class ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_SX0 ) )
| ~ ( iext @ uri_owl_intersectionOf @ sK1_SX0 @ SY42 ) )
| ~ ( iext @ uri_rdf_first @ SY42 @ uri_ex_A ) )
| ~ ( iext @ uri_rdf_rest @ SY42 @ SY43 ) )
| ~ ( iext @ uri_rdf_first @ SY43 @ sK2_SY30 ) )
| ~ ( iext @ uri_rdf_rest @ SY43 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_complementOf @ sK2_SY30 @ uri_ex_A ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(57,plain,
! [SV2: $i,SV9: $i,SV8: $i,SV7: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV5 @ SV7 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SV8 ) )
| ~ ( iext @ uri_rdf_first @ SV8 @ SV9 ) )
| ~ ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) )
| ~ ( ic @ SV9 ) )
| ~ ! [SY40: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY40 )
| ~ ( ~ ( icext @ SV7 @ SY40 )
| ~ ( icext @ SV9 @ SY40 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY40 )
| ~ ( icext @ SV9 @ SY40 ) )
| ( icext @ SV2 @ SY40 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) )
| ~ ( ic @ SV9 ) )
| ~ ! [SY41: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY41 )
| ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) )
| ( icext @ SV2 @ SY41 ) ) ) )
| ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[53]) ).
thf(58,plain,
! [SV6: $i,SV3: $i] :
( ( ( ~ ( ic @ SV3 )
| ~ ( ic @ SV6 ) )
= $false )
| ( ( iext @ uri_owl_complementOf @ SV3 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(59,plain,
! [SV6: $i,SV10: $i,SV3: $i] :
( ( ( ~ ( ~ ( ~ ( icext @ SV3 @ SV10 )
| ~ ( icext @ SV6 @ SV10 ) )
| ~ ( ~ ~ ( icext @ SV6 @ SV10 )
| ( icext @ SV3 @ SV10 ) ) ) )
= $true )
| ( ( iext @ uri_owl_complementOf @ SV3 @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(60,plain,
( ( ~ ~ ! [SY44: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_A @ uri_owl_Class )
| ~ ( iext @ uri_rdf_type @ uri_ex_B @ uri_owl_Class ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_SX0 ) )
| ~ ( iext @ uri_owl_intersectionOf @ sK1_SX0 @ sK3_SY42 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY42 @ uri_ex_A ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY42 @ SY44 ) )
| ~ ( iext @ uri_rdf_first @ SY44 @ sK2_SY30 ) )
| ~ ( iext @ uri_rdf_rest @ SY44 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_complementOf @ sK2_SY30 @ uri_ex_A ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[56]) ).
thf(61,plain,
! [SV2: $i,SV9: $i,SV8: $i,SV7: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV5 @ SV7 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SV8 ) )
| ~ ( iext @ uri_rdf_first @ SV8 @ SV9 ) ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) )
| ~ ( ic @ SV9 ) )
| ~ ! [SY40: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY40 )
| ~ ( ~ ( icext @ SV7 @ SY40 )
| ~ ( icext @ SV9 @ SY40 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY40 )
| ~ ( icext @ SV9 @ SY40 ) )
| ( icext @ SV2 @ SY40 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) )
| ~ ( ic @ SV9 ) )
| ~ ! [SY41: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY41 )
| ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) )
| ( icext @ SV2 @ SY41 ) ) ) )
| ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[57]) ).
thf(62,plain,
! [SV6: $i,SV3: $i] :
( ( ( ~ ( ic @ SV3 ) )
= $false )
| ( ( iext @ uri_owl_complementOf @ SV3 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(63,plain,
! [SV3: $i,SV6: $i] :
( ( ( ~ ( ic @ SV6 ) )
= $false )
| ( ( iext @ uri_owl_complementOf @ SV3 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(64,plain,
! [SV6: $i,SV10: $i,SV3: $i] :
( ( ( ~ ( ~ ( icext @ SV3 @ SV10 )
| ~ ( icext @ SV6 @ SV10 ) )
| ~ ( ~ ~ ( icext @ SV6 @ SV10 )
| ( icext @ SV3 @ SV10 ) ) )
= $false )
| ( ( iext @ uri_owl_complementOf @ SV3 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(65,plain,
( ( ~ ! [SY44: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_A @ uri_owl_Class )
| ~ ( iext @ uri_rdf_type @ uri_ex_B @ uri_owl_Class ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_SX0 ) )
| ~ ( iext @ uri_owl_intersectionOf @ sK1_SX0 @ sK3_SY42 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY42 @ uri_ex_A ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY42 @ SY44 ) )
| ~ ( iext @ uri_rdf_first @ SY44 @ sK2_SY30 ) )
| ~ ( iext @ uri_rdf_rest @ SY44 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_complementOf @ sK2_SY30 @ uri_ex_A ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[60]) ).
thf(66,plain,
! [SV2: $i,SV9: $i,SV8: $i,SV7: $i,SV5: $i] :
( ( ( ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV5 @ SV7 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SV8 ) )
| ~ ( iext @ uri_rdf_first @ SV8 @ SV9 ) ) )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) )
| ~ ( ic @ SV9 ) )
| ~ ! [SY40: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY40 )
| ~ ( ~ ( icext @ SV7 @ SY40 )
| ~ ( icext @ SV9 @ SY40 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY40 )
| ~ ( icext @ SV9 @ SY40 ) )
| ( icext @ SV2 @ SY40 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) )
| ~ ( ic @ SV9 ) )
| ~ ! [SY41: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY41 )
| ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) )
| ( icext @ SV2 @ SY41 ) ) ) )
| ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(67,plain,
! [SV6: $i,SV3: $i] :
( ( ( ic @ SV3 )
= $true )
| ( ( iext @ uri_owl_complementOf @ SV3 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(68,plain,
! [SV3: $i,SV6: $i] :
( ( ( ic @ SV6 )
= $true )
| ( ( iext @ uri_owl_complementOf @ SV3 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(69,plain,
! [SV6: $i,SV10: $i,SV3: $i] :
( ( ( ~ ( ~ ( icext @ SV3 @ SV10 )
| ~ ( icext @ SV6 @ SV10 ) ) )
= $false )
| ( ( iext @ uri_owl_complementOf @ SV3 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[64]) ).
thf(70,plain,
! [SV3: $i,SV10: $i,SV6: $i] :
( ( ( ~ ( ~ ~ ( icext @ SV6 @ SV10 )
| ( icext @ SV3 @ SV10 ) ) )
= $false )
| ( ( iext @ uri_owl_complementOf @ SV3 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[64]) ).
thf(71,plain,
( ( ! [SY44: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_A @ uri_owl_Class )
| ~ ( iext @ uri_rdf_type @ uri_ex_B @ uri_owl_Class ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_SX0 ) )
| ~ ( iext @ uri_owl_intersectionOf @ sK1_SX0 @ sK3_SY42 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY42 @ uri_ex_A ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY42 @ SY44 ) )
| ~ ( iext @ uri_rdf_first @ SY44 @ sK2_SY30 ) )
| ~ ( iext @ uri_rdf_rest @ SY44 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_complementOf @ sK2_SY30 @ uri_ex_A ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(72,plain,
! [SV2: $i,SV9: $i,SV8: $i,SV7: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV5 @ SV7 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SV8 ) )
| ~ ( iext @ uri_rdf_first @ SV8 @ SV9 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) )
| ~ ( ic @ SV9 ) )
| ~ ! [SY40: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY40 )
| ~ ( ~ ( icext @ SV7 @ SY40 )
| ~ ( icext @ SV9 @ SY40 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY40 )
| ~ ( icext @ SV9 @ SY40 ) )
| ( icext @ SV2 @ SY40 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) )
| ~ ( ic @ SV9 ) )
| ~ ! [SY41: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY41 )
| ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) )
| ( icext @ SV2 @ SY41 ) ) ) )
| ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[66]) ).
thf(73,plain,
! [SV6: $i,SV10: $i,SV3: $i] :
( ( ( ~ ( icext @ SV3 @ SV10 )
| ~ ( icext @ SV6 @ SV10 ) )
= $true )
| ( ( iext @ uri_owl_complementOf @ SV3 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[69]) ).
thf(74,plain,
! [SV3: $i,SV10: $i,SV6: $i] :
( ( ( ~ ~ ( icext @ SV6 @ SV10 )
| ( icext @ SV3 @ SV10 ) )
= $true )
| ( ( iext @ uri_owl_complementOf @ SV3 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[70]) ).
thf(75,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_A @ uri_owl_Class )
| ~ ( iext @ uri_rdf_type @ uri_ex_B @ uri_owl_Class ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_SX0 ) )
| ~ ( iext @ uri_owl_intersectionOf @ sK1_SX0 @ sK3_SY42 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY42 @ uri_ex_A ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY42 @ sK4_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY44 @ sK2_SY30 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY44 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_complementOf @ sK2_SY30 @ uri_ex_A ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[71]) ).
thf(76,plain,
! [SV2: $i,SV9: $i,SV8: $i,SV7: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV5 @ SV7 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SV8 ) ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV8 @ SV9 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) )
| ~ ( ic @ SV9 ) )
| ~ ! [SY40: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY40 )
| ~ ( ~ ( icext @ SV7 @ SY40 )
| ~ ( icext @ SV9 @ SY40 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY40 )
| ~ ( icext @ SV9 @ SY40 ) )
| ( icext @ SV2 @ SY40 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) )
| ~ ( ic @ SV9 ) )
| ~ ! [SY41: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY41 )
| ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) )
| ( icext @ SV2 @ SY41 ) ) ) )
| ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[72]) ).
thf(77,plain,
! [SV6: $i,SV10: $i,SV3: $i] :
( ( ( ~ ( icext @ SV3 @ SV10 ) )
= $true )
| ( ( ~ ( icext @ SV6 @ SV10 ) )
= $true )
| ( ( iext @ uri_owl_complementOf @ SV3 @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[73]) ).
thf(78,plain,
! [SV3: $i,SV10: $i,SV6: $i] :
( ( ( ~ ~ ( icext @ SV6 @ SV10 ) )
= $true )
| ( ( icext @ SV3 @ SV10 )
= $true )
| ( ( iext @ uri_owl_complementOf @ SV3 @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[74]) ).
thf(79,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_A @ uri_owl_Class )
| ~ ( iext @ uri_rdf_type @ uri_ex_B @ uri_owl_Class ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_SX0 ) )
| ~ ( iext @ uri_owl_intersectionOf @ sK1_SX0 @ sK3_SY42 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY42 @ uri_ex_A ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY42 @ sK4_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY44 @ sK2_SY30 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY44 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_complementOf @ sK2_SY30 @ uri_ex_A ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[75]) ).
thf(80,plain,
! [SV2: $i,SV9: $i,SV8: $i,SV7: $i,SV5: $i] :
( ( ( ~ ( ~ ( iext @ uri_rdf_first @ SV5 @ SV7 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SV8 ) ) )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV8 @ SV9 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) )
| ~ ( ic @ SV9 ) )
| ~ ! [SY40: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY40 )
| ~ ( ~ ( icext @ SV7 @ SY40 )
| ~ ( icext @ SV9 @ SY40 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY40 )
| ~ ( icext @ SV9 @ SY40 ) )
| ( icext @ SV2 @ SY40 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) )
| ~ ( ic @ SV9 ) )
| ~ ! [SY41: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY41 )
| ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) )
| ( icext @ SV2 @ SY41 ) ) ) )
| ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(81,plain,
! [SV6: $i,SV10: $i,SV3: $i] :
( ( ( icext @ SV3 @ SV10 )
= $false )
| ( ( ~ ( icext @ SV6 @ SV10 ) )
= $true )
| ( ( iext @ uri_owl_complementOf @ SV3 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(82,plain,
! [SV3: $i,SV10: $i,SV6: $i] :
( ( ( ~ ( icext @ SV6 @ SV10 ) )
= $false )
| ( ( icext @ SV3 @ SV10 )
= $true )
| ( ( iext @ uri_owl_complementOf @ SV3 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(83,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_A @ uri_owl_Class )
| ~ ( iext @ uri_rdf_type @ uri_ex_B @ uri_owl_Class ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_SX0 ) )
| ~ ( iext @ uri_owl_intersectionOf @ sK1_SX0 @ sK3_SY42 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY42 @ uri_ex_A ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY42 @ sK4_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY44 @ sK2_SY30 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY44 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_complementOf @ sK2_SY30 @ uri_ex_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(84,plain,
! [SV2: $i,SV9: $i,SV8: $i,SV7: $i,SV5: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV5 @ SV7 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ SV8 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV8 @ SV9 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) )
| ~ ( ic @ SV9 ) )
| ~ ! [SY40: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY40 )
| ~ ( ~ ( icext @ SV7 @ SY40 )
| ~ ( icext @ SV9 @ SY40 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY40 )
| ~ ( icext @ SV9 @ SY40 ) )
| ( icext @ SV2 @ SY40 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) )
| ~ ( ic @ SV9 ) )
| ~ ! [SY41: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY41 )
| ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) )
| ( icext @ SV2 @ SY41 ) ) ) )
| ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[80]) ).
thf(85,plain,
! [SV3: $i,SV10: $i,SV6: $i] :
( ( ( icext @ SV6 @ SV10 )
= $false )
| ( ( icext @ SV3 @ SV10 )
= $false )
| ( ( iext @ uri_owl_complementOf @ SV3 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(86,plain,
! [SV3: $i,SV10: $i,SV6: $i] :
( ( ( icext @ SV6 @ SV10 )
= $true )
| ( ( icext @ SV3 @ SV10 )
= $true )
| ( ( iext @ uri_owl_complementOf @ SV3 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[82]) ).
thf(87,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_A @ uri_owl_Class )
| ~ ( iext @ uri_rdf_type @ uri_ex_B @ uri_owl_Class ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_SX0 ) )
| ~ ( iext @ uri_owl_intersectionOf @ sK1_SX0 @ sK3_SY42 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY42 @ uri_ex_A ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY42 @ sK4_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY44 @ sK2_SY30 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY44 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[83]) ).
thf(88,plain,
( ( ~ ( iext @ uri_owl_complementOf @ sK2_SY30 @ uri_ex_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[83]) ).
thf(89,plain,
! [SV2: $i,SV9: $i,SV8: $i,SV7: $i,SV5: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV5 @ SV7 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV5 @ SV8 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV8 @ SV9 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) )
| ~ ( ic @ SV9 ) )
| ~ ! [SY40: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY40 )
| ~ ( ~ ( icext @ SV7 @ SY40 )
| ~ ( icext @ SV9 @ SY40 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY40 )
| ~ ( icext @ SV9 @ SY40 ) )
| ( icext @ SV2 @ SY40 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) )
| ~ ( ic @ SV9 ) )
| ~ ! [SY41: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY41 )
| ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) )
| ( icext @ SV2 @ SY41 ) ) ) )
| ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[84]) ).
thf(90,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_A @ uri_owl_Class )
| ~ ( iext @ uri_rdf_type @ uri_ex_B @ uri_owl_Class ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_SX0 ) )
| ~ ( iext @ uri_owl_intersectionOf @ sK1_SX0 @ sK3_SY42 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY42 @ uri_ex_A ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY42 @ sK4_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY44 @ sK2_SY30 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY44 @ uri_rdf_nil ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[87]) ).
thf(91,plain,
( ( iext @ uri_owl_complementOf @ sK2_SY30 @ uri_ex_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[88]) ).
thf(92,plain,
! [SV2: $i,SV9: $i,SV8: $i,SV7: $i,SV5: $i] :
( ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV5 @ SV8 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV8 @ SV9 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) )
| ~ ( ic @ SV9 ) )
| ~ ! [SY40: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY40 )
| ~ ( ~ ( icext @ SV7 @ SY40 )
| ~ ( icext @ SV9 @ SY40 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY40 )
| ~ ( icext @ SV9 @ SY40 ) )
| ( icext @ SV2 @ SY40 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) )
| ~ ( ic @ SV9 ) )
| ~ ! [SY41: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY41 )
| ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) )
| ( icext @ SV2 @ SY41 ) ) ) )
| ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(93,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_A @ uri_owl_Class )
| ~ ( iext @ uri_rdf_type @ uri_ex_B @ uri_owl_Class ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_SX0 ) )
| ~ ( iext @ uri_owl_intersectionOf @ sK1_SX0 @ sK3_SY42 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY42 @ uri_ex_A ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY42 @ sK4_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY44 @ sK2_SY30 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY44 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(94,plain,
! [SV2: $i,SV9: $i,SV7: $i,SV8: $i,SV5: $i] :
( ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV8 @ SV9 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) )
| ~ ( ic @ SV9 ) )
| ~ ! [SY40: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY40 )
| ~ ( ~ ( icext @ SV7 @ SY40 )
| ~ ( icext @ SV9 @ SY40 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY40 )
| ~ ( icext @ SV9 @ SY40 ) )
| ( icext @ SV2 @ SY40 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) )
| ~ ( ic @ SV9 ) )
| ~ ! [SY41: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY41 )
| ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) )
| ( icext @ SV2 @ SY41 ) ) ) )
| ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(95,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_A @ uri_owl_Class )
| ~ ( iext @ uri_rdf_type @ uri_ex_B @ uri_owl_Class ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_SX0 ) )
| ~ ( iext @ uri_owl_intersectionOf @ sK1_SX0 @ sK3_SY42 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY42 @ uri_ex_A ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY42 @ sK4_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY44 @ sK2_SY30 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[93]) ).
thf(96,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK4_SY44 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[93]) ).
thf(97,plain,
! [SV2: $i,SV7: $i,SV5: $i,SV9: $i,SV8: $i] :
( ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) )
| ~ ( ic @ SV9 ) )
| ~ ! [SY40: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY40 )
| ~ ( ~ ( icext @ SV7 @ SY40 )
| ~ ( icext @ SV9 @ SY40 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY40 )
| ~ ( icext @ SV9 @ SY40 ) )
| ( icext @ SV2 @ SY40 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) )
| ~ ( ic @ SV9 ) )
| ~ ! [SY41: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY41 )
| ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) )
| ( icext @ SV2 @ SY41 ) ) ) )
| ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[94]) ).
thf(98,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_A @ uri_owl_Class )
| ~ ( iext @ uri_rdf_type @ uri_ex_B @ uri_owl_Class ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_SX0 ) )
| ~ ( iext @ uri_owl_intersectionOf @ sK1_SX0 @ sK3_SY42 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY42 @ uri_ex_A ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY42 @ sK4_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY44 @ sK2_SY30 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[95]) ).
thf(99,plain,
( ( iext @ uri_rdf_rest @ sK4_SY44 @ uri_rdf_nil )
= $true ),
inference(extcnf_not_neg,[status(thm)],[96]) ).
thf(100,plain,
! [SV2: $i,SV9: $i,SV7: $i,SV5: $i,SV8: $i] :
( ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) )
| ~ ( ic @ SV9 ) )
| ~ ! [SY40: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY40 )
| ~ ( ~ ( icext @ SV7 @ SY40 )
| ~ ( icext @ SV9 @ SY40 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY40 )
| ~ ( icext @ SV9 @ SY40 ) )
| ( icext @ SV2 @ SY40 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) )
| ~ ( ic @ SV9 ) )
| ~ ! [SY41: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY41 )
| ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) )
| ( icext @ SV2 @ SY41 ) ) ) )
| ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(101,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_A @ uri_owl_Class )
| ~ ( iext @ uri_rdf_type @ uri_ex_B @ uri_owl_Class ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_SX0 ) )
| ~ ( iext @ uri_owl_intersectionOf @ sK1_SX0 @ sK3_SY42 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY42 @ uri_ex_A ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY42 @ sK4_SY44 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY44 @ sK2_SY30 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(102,plain,
! [SV8: $i,SV9: $i,SV7: $i,SV5: $i,SV2: $i] :
( ( ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) )
| ~ ( ic @ SV9 ) )
| ~ ! [SY40: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY40 )
| ~ ( ~ ( icext @ SV7 @ SY40 )
| ~ ( icext @ SV9 @ SY40 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY40 )
| ~ ( icext @ SV9 @ SY40 ) )
| ( icext @ SV2 @ SY40 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) )
| ~ ( ic @ SV9 ) )
| ~ ! [SY41: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY41 )
| ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) )
| ( icext @ SV2 @ SY41 ) ) ) )
| ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 ) ) )
= $false )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(103,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_A @ uri_owl_Class )
| ~ ( iext @ uri_rdf_type @ uri_ex_B @ uri_owl_Class ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_SX0 ) )
| ~ ( iext @ uri_owl_intersectionOf @ sK1_SX0 @ sK3_SY42 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY42 @ uri_ex_A ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY42 @ sK4_SY44 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[101]) ).
thf(104,plain,
( ( ~ ( iext @ uri_rdf_first @ sK4_SY44 @ sK2_SY30 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[101]) ).
thf(105,plain,
! [SV8: $i,SV9: $i,SV7: $i,SV5: $i,SV2: $i] :
( ( ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) )
| ~ ( ic @ SV9 ) )
| ~ ! [SY40: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY40 )
| ~ ( ~ ( icext @ SV7 @ SY40 )
| ~ ( icext @ SV9 @ SY40 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY40 )
| ~ ( icext @ SV9 @ SY40 ) )
| ( icext @ SV2 @ SY40 ) ) ) ) ) )
= $false )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[102]) ).
thf(106,plain,
! [SV8: $i,SV5: $i,SV9: $i,SV7: $i,SV2: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) )
| ~ ( ic @ SV9 ) )
| ~ ! [SY41: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY41 )
| ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) )
| ( icext @ SV2 @ SY41 ) ) ) )
| ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 ) ) )
= $false )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[102]) ).
thf(107,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_A @ uri_owl_Class )
| ~ ( iext @ uri_rdf_type @ uri_ex_B @ uri_owl_Class ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_SX0 ) )
| ~ ( iext @ uri_owl_intersectionOf @ sK1_SX0 @ sK3_SY42 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY42 @ uri_ex_A ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY42 @ sK4_SY44 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[103]) ).
thf(108,plain,
( ( iext @ uri_rdf_first @ sK4_SY44 @ sK2_SY30 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[104]) ).
thf(109,plain,
! [SV8: $i,SV9: $i,SV7: $i,SV5: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) )
| ~ ( ic @ SV9 ) )
| ~ ! [SY40: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY40 )
| ~ ( ~ ( icext @ SV7 @ SY40 )
| ~ ( icext @ SV9 @ SY40 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY40 )
| ~ ( icext @ SV9 @ SY40 ) )
| ( icext @ SV2 @ SY40 ) ) ) ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[105]) ).
thf(110,plain,
! [SV8: $i,SV5: $i,SV9: $i,SV7: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) )
| ~ ( ic @ SV9 ) )
| ~ ! [SY41: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY41 )
| ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) )
| ( icext @ SV2 @ SY41 ) ) ) )
| ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[106]) ).
thf(111,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_A @ uri_owl_Class )
| ~ ( iext @ uri_rdf_type @ uri_ex_B @ uri_owl_Class ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_SX0 ) )
| ~ ( iext @ uri_owl_intersectionOf @ sK1_SX0 @ sK3_SY42 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY42 @ uri_ex_A ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY42 @ sK4_SY44 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(112,plain,
! [SV8: $i,SV9: $i,SV7: $i,SV5: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) )
| ~ ( ic @ SV9 ) )
| ~ ! [SY40: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY40 )
| ~ ( ~ ( icext @ SV7 @ SY40 )
| ~ ( icext @ SV9 @ SY40 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY40 )
| ~ ( icext @ SV9 @ SY40 ) )
| ( icext @ SV2 @ SY40 ) ) ) ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[109]) ).
thf(113,plain,
! [SV8: $i,SV5: $i,SV9: $i,SV7: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) )
| ~ ( ic @ SV9 ) )
| ~ ! [SY41: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY41 )
| ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) )
| ( icext @ SV2 @ SY41 ) ) ) ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[110]) ).
thf(114,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_A @ uri_owl_Class )
| ~ ( iext @ uri_rdf_type @ uri_ex_B @ uri_owl_Class ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_SX0 ) )
| ~ ( iext @ uri_owl_intersectionOf @ sK1_SX0 @ sK3_SY42 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY42 @ uri_ex_A ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[111]) ).
thf(115,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK3_SY42 @ sK4_SY44 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[111]) ).
thf(116,plain,
! [SV8: $i,SV9: $i,SV7: $i,SV5: $i,SV2: $i] :
( ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) )
| ~ ( ic @ SV9 ) )
| ~ ! [SY40: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY40 )
| ~ ( ~ ( icext @ SV7 @ SY40 )
| ~ ( icext @ SV9 @ SY40 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY40 )
| ~ ( icext @ SV9 @ SY40 ) )
| ( icext @ SV2 @ SY40 ) ) ) ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(117,plain,
! [SV8: $i,SV5: $i,SV9: $i,SV7: $i,SV2: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) )
| ~ ( ic @ SV9 ) )
| ~ ! [SY41: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY41 )
| ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) )
| ( icext @ SV2 @ SY41 ) ) ) ) )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(118,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_A @ uri_owl_Class )
| ~ ( iext @ uri_rdf_type @ uri_ex_B @ uri_owl_Class ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_SX0 ) )
| ~ ( iext @ uri_owl_intersectionOf @ sK1_SX0 @ sK3_SY42 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY42 @ uri_ex_A ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[114]) ).
thf(119,plain,
( ( iext @ uri_rdf_rest @ sK3_SY42 @ sK4_SY44 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[115]) ).
thf(120,plain,
! [SV8: $i,SV5: $i,SV9: $i,SV7: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) )
| ~ ( ic @ SV9 ) )
| ~ ! [SY40: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY40 )
| ~ ( ~ ( icext @ SV7 @ SY40 )
| ~ ( icext @ SV9 @ SY40 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY40 )
| ~ ( icext @ SV9 @ SY40 ) )
| ( icext @ SV2 @ SY40 ) ) ) )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(121,plain,
! [SV8: $i,SV5: $i,SV9: $i,SV7: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) )
| ~ ( ic @ SV9 ) )
| ~ ! [SY41: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY41 )
| ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) )
| ( icext @ SV2 @ SY41 ) ) ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[117]) ).
thf(122,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_A @ uri_owl_Class )
| ~ ( iext @ uri_rdf_type @ uri_ex_B @ uri_owl_Class ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_SX0 ) )
| ~ ( iext @ uri_owl_intersectionOf @ sK1_SX0 @ sK3_SY42 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY42 @ uri_ex_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(123,plain,
! [SV8: $i,SV5: $i,SV9: $i,SV7: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) )
| ~ ( ic @ SV9 ) ) )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[120]) ).
thf(124,plain,
! [SV8: $i,SV5: $i,SV9: $i,SV7: $i,SV2: $i] :
( ( ( ~ ! [SY40: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY40 )
| ~ ( ~ ( icext @ SV7 @ SY40 )
| ~ ( icext @ SV9 @ SY40 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY40 )
| ~ ( icext @ SV9 @ SY40 ) )
| ( icext @ SV2 @ SY40 ) ) ) )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[120]) ).
thf(125,plain,
! [SV8: $i,SV5: $i,SV9: $i,SV7: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) )
| ~ ( ic @ SV9 ) ) )
= $true )
| ( ( ~ ! [SY41: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY41 )
| ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) )
| ( icext @ SV2 @ SY41 ) ) ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[121]) ).
thf(126,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_A @ uri_owl_Class )
| ~ ( iext @ uri_rdf_type @ uri_ex_B @ uri_owl_Class ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_SX0 ) )
| ~ ( iext @ uri_owl_intersectionOf @ sK1_SX0 @ sK3_SY42 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[122]) ).
thf(127,plain,
( ( ~ ( iext @ uri_rdf_first @ sK3_SY42 @ uri_ex_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[122]) ).
thf(128,plain,
! [SV8: $i,SV5: $i,SV9: $i,SV7: $i,SV2: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) )
| ~ ( ic @ SV9 ) ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[123]) ).
thf(129,plain,
! [SV8: $i,SV5: $i,SV9: $i,SV7: $i,SV2: $i] :
( ( ( ! [SY40: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY40 )
| ~ ( ~ ( icext @ SV7 @ SY40 )
| ~ ( icext @ SV9 @ SY40 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY40 )
| ~ ( icext @ SV9 @ SY40 ) )
| ( icext @ SV2 @ SY40 ) ) ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[124]) ).
thf(130,plain,
! [SV8: $i,SV5: $i,SV9: $i,SV7: $i,SV2: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) )
| ~ ( ic @ SV9 ) ) )
= $false )
| ( ( ~ ! [SY41: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY41 )
| ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) )
| ( icext @ SV2 @ SY41 ) ) ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(131,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_A @ uri_owl_Class )
| ~ ( iext @ uri_rdf_type @ uri_ex_B @ uri_owl_Class ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_SX0 ) )
| ~ ( iext @ uri_owl_intersectionOf @ sK1_SX0 @ sK3_SY42 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[126]) ).
thf(132,plain,
( ( iext @ uri_rdf_first @ sK3_SY42 @ uri_ex_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[127]) ).
thf(133,plain,
! [SV8: $i,SV5: $i,SV9: $i,SV7: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) )
| ~ ( ic @ SV9 ) )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(134,plain,
! [SV8: $i,SV5: $i,SV9: $i,SV7: $i,SV11: $i,SV2: $i] :
( ( ( ~ ( ~ ( ~ ( icext @ SV2 @ SV11 )
| ~ ( ~ ( icext @ SV7 @ SV11 )
| ~ ( icext @ SV9 @ SV11 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SV11 )
| ~ ( icext @ SV9 @ SV11 ) )
| ( icext @ SV2 @ SV11 ) ) ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(135,plain,
! [SV8: $i,SV5: $i,SV9: $i,SV7: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) )
| ~ ( ic @ SV9 ) )
= $true )
| ( ( ~ ! [SY41: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY41 )
| ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) )
| ( icext @ SV2 @ SY41 ) ) ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[130]) ).
thf(136,plain,
( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_A @ uri_owl_Class )
| ~ ( iext @ uri_rdf_type @ uri_ex_B @ uri_owl_Class ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_SX0 ) )
| ~ ( iext @ uri_owl_intersectionOf @ sK1_SX0 @ sK3_SY42 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(137,plain,
! [SV9: $i,SV8: $i,SV5: $i,SV7: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) ) )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[133]) ).
thf(138,plain,
! [SV7: $i,SV8: $i,SV5: $i,SV2: $i,SV9: $i] :
( ( ( ~ ( ic @ SV9 ) )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[133]) ).
thf(139,plain,
! [SV8: $i,SV5: $i,SV9: $i,SV7: $i,SV11: $i,SV2: $i] :
( ( ( ~ ( ~ ( icext @ SV2 @ SV11 )
| ~ ( ~ ( icext @ SV7 @ SV11 )
| ~ ( icext @ SV9 @ SV11 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SV11 )
| ~ ( icext @ SV9 @ SV11 ) )
| ( icext @ SV2 @ SV11 ) ) )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(140,plain,
! [SV8: $i,SV5: $i,SV9: $i,SV7: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) ) )
= $true )
| ( ( ~ ( ic @ SV9 ) )
= $true )
| ( ( ~ ! [SY41: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY41 )
| ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) )
| ( icext @ SV2 @ SY41 ) ) ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[135]) ).
thf(141,plain,
( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_A @ uri_owl_Class )
| ~ ( iext @ uri_rdf_type @ uri_ex_B @ uri_owl_Class ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[136]) ).
thf(142,plain,
( ( ~ ( iext @ uri_owl_intersectionOf @ sK1_SX0 @ sK3_SY42 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[136]) ).
thf(143,plain,
! [SV9: $i,SV8: $i,SV5: $i,SV7: $i,SV2: $i] :
( ( ( ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[137]) ).
thf(144,plain,
! [SV7: $i,SV8: $i,SV5: $i,SV2: $i,SV9: $i] :
( ( ( ic @ SV9 )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[138]) ).
thf(145,plain,
! [SV8: $i,SV5: $i,SV9: $i,SV7: $i,SV11: $i,SV2: $i] :
( ( ( ~ ( ~ ( icext @ SV2 @ SV11 )
| ~ ( ~ ( icext @ SV7 @ SV11 )
| ~ ( icext @ SV9 @ SV11 ) ) ) )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[139]) ).
thf(146,plain,
! [SV8: $i,SV5: $i,SV2: $i,SV9: $i,SV11: $i,SV7: $i] :
( ( ( ~ ( ~ ~ ( ~ ( icext @ SV7 @ SV11 )
| ~ ( icext @ SV9 @ SV11 ) )
| ( icext @ SV2 @ SV11 ) ) )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[139]) ).
thf(147,plain,
! [SV8: $i,SV5: $i,SV9: $i,SV7: $i,SV2: $i] :
( ( ( ~ ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) ) )
= $false )
| ( ( ~ ( ic @ SV9 ) )
= $true )
| ( ( ~ ! [SY41: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY41 )
| ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) )
| ( icext @ SV2 @ SY41 ) ) ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(148,plain,
( ( ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_A @ uri_owl_Class )
| ~ ( iext @ uri_rdf_type @ uri_ex_B @ uri_owl_Class ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[141]) ).
thf(149,plain,
( ( iext @ uri_owl_intersectionOf @ sK1_SX0 @ sK3_SY42 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[142]) ).
thf(150,plain,
! [SV9: $i,SV8: $i,SV5: $i,SV7: $i,SV2: $i] :
( ( ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[143]) ).
thf(151,plain,
! [SV8: $i,SV5: $i,SV9: $i,SV7: $i,SV11: $i,SV2: $i] :
( ( ( ~ ( icext @ SV2 @ SV11 )
| ~ ( ~ ( icext @ SV7 @ SV11 )
| ~ ( icext @ SV9 @ SV11 ) ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[145]) ).
thf(152,plain,
! [SV8: $i,SV5: $i,SV2: $i,SV9: $i,SV11: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ( icext @ SV7 @ SV11 )
| ~ ( icext @ SV9 @ SV11 ) )
| ( icext @ SV2 @ SV11 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[146]) ).
thf(153,plain,
! [SV8: $i,SV5: $i,SV9: $i,SV7: $i,SV2: $i] :
( ( ( ~ ( ic @ SV2 )
| ~ ( ic @ SV7 ) )
= $true )
| ( ( ~ ( ic @ SV9 ) )
= $true )
| ( ( ~ ! [SY41: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY41 )
| ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) )
| ( icext @ SV2 @ SY41 ) ) ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[147]) ).
thf(154,plain,
( ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_A @ uri_owl_Class )
| ~ ( iext @ uri_rdf_type @ uri_ex_B @ uri_owl_Class ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(155,plain,
! [SV7: $i,SV9: $i,SV8: $i,SV5: $i,SV2: $i] :
( ( ( ~ ( ic @ SV2 ) )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[150]) ).
thf(156,plain,
! [SV9: $i,SV8: $i,SV5: $i,SV2: $i,SV7: $i] :
( ( ( ~ ( ic @ SV7 ) )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[150]) ).
thf(157,plain,
! [SV8: $i,SV5: $i,SV9: $i,SV7: $i,SV11: $i,SV2: $i] :
( ( ( ~ ( icext @ SV2 @ SV11 ) )
= $true )
| ( ( ~ ( ~ ( icext @ SV7 @ SV11 )
| ~ ( icext @ SV9 @ SV11 ) ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[151]) ).
thf(158,plain,
! [SV8: $i,SV5: $i,SV2: $i,SV9: $i,SV11: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ( icext @ SV7 @ SV11 )
| ~ ( icext @ SV9 @ SV11 ) ) )
= $true )
| ( ( icext @ SV2 @ SV11 )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[152]) ).
thf(159,plain,
! [SV8: $i,SV5: $i,SV9: $i,SV7: $i,SV2: $i] :
( ( ( ~ ( ic @ SV2 ) )
= $true )
| ( ( ~ ( ic @ SV7 ) )
= $true )
| ( ( ~ ( ic @ SV9 ) )
= $true )
| ( ( ~ ! [SY41: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY41 )
| ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) )
| ( icext @ SV2 @ SY41 ) ) ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[153]) ).
thf(160,plain,
( ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_A @ uri_owl_Class )
| ~ ( iext @ uri_rdf_type @ uri_ex_B @ uri_owl_Class ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[154]) ).
thf(161,plain,
( ( ~ ( iext @ uri_rdf_type @ uri_ex_w @ sK1_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[154]) ).
thf(162,plain,
! [SV7: $i,SV9: $i,SV8: $i,SV5: $i,SV2: $i] :
( ( ( ic @ SV2 )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[155]) ).
thf(163,plain,
! [SV9: $i,SV8: $i,SV5: $i,SV2: $i,SV7: $i] :
( ( ( ic @ SV7 )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[156]) ).
thf(164,plain,
! [SV8: $i,SV5: $i,SV9: $i,SV7: $i,SV11: $i,SV2: $i] :
( ( ( icext @ SV2 @ SV11 )
= $false )
| ( ( ~ ( ~ ( icext @ SV7 @ SV11 )
| ~ ( icext @ SV9 @ SV11 ) ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[157]) ).
thf(165,plain,
! [SV8: $i,SV5: $i,SV2: $i,SV9: $i,SV11: $i,SV7: $i] :
( ( ( ~ ( ~ ( icext @ SV7 @ SV11 )
| ~ ( icext @ SV9 @ SV11 ) ) )
= $false )
| ( ( icext @ SV2 @ SV11 )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[158]) ).
thf(166,plain,
! [SV8: $i,SV5: $i,SV9: $i,SV7: $i,SV2: $i] :
( ( ( ic @ SV2 )
= $false )
| ( ( ~ ( ic @ SV7 ) )
= $true )
| ( ( ~ ( ic @ SV9 ) )
= $true )
| ( ( ~ ! [SY41: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY41 )
| ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) )
| ( icext @ SV2 @ SY41 ) ) ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(167,plain,
( ( ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_A @ uri_owl_Class )
| ~ ( iext @ uri_rdf_type @ uri_ex_B @ uri_owl_Class ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[160]) ).
thf(168,plain,
( ( iext @ uri_rdf_type @ uri_ex_w @ sK1_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[161]) ).
thf(169,plain,
! [SV8: $i,SV5: $i,SV2: $i,SV9: $i,SV11: $i,SV7: $i] :
( ( ( ~ ( icext @ SV7 @ SV11 )
| ~ ( icext @ SV9 @ SV11 ) )
= $false )
| ( ( icext @ SV2 @ SV11 )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(170,plain,
! [SV8: $i,SV5: $i,SV2: $i,SV9: $i,SV11: $i,SV7: $i] :
( ( ( ~ ( icext @ SV7 @ SV11 )
| ~ ( icext @ SV9 @ SV11 ) )
= $true )
| ( ( icext @ SV2 @ SV11 )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[165]) ).
thf(171,plain,
! [SV8: $i,SV5: $i,SV9: $i,SV2: $i,SV7: $i] :
( ( ( ic @ SV7 )
= $false )
| ( ( ic @ SV2 )
= $false )
| ( ( ~ ( ic @ SV9 ) )
= $true )
| ( ( ~ ! [SY41: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY41 )
| ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) )
| ( icext @ SV2 @ SY41 ) ) ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[166]) ).
thf(172,plain,
( ( ~ ( iext @ uri_rdf_type @ uri_ex_A @ uri_owl_Class )
| ~ ( iext @ uri_rdf_type @ uri_ex_B @ uri_owl_Class ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[167]) ).
thf(173,plain,
! [SV9: $i,SV8: $i,SV5: $i,SV2: $i,SV11: $i,SV7: $i] :
( ( ( ~ ( icext @ SV7 @ SV11 ) )
= $false )
| ( ( icext @ SV2 @ SV11 )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[169]) ).
thf(174,plain,
! [SV7: $i,SV8: $i,SV5: $i,SV2: $i,SV11: $i,SV9: $i] :
( ( ( ~ ( icext @ SV9 @ SV11 ) )
= $false )
| ( ( icext @ SV2 @ SV11 )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[169]) ).
thf(175,plain,
! [SV8: $i,SV5: $i,SV2: $i,SV9: $i,SV11: $i,SV7: $i] :
( ( ( ~ ( icext @ SV7 @ SV11 ) )
= $true )
| ( ( ~ ( icext @ SV9 @ SV11 ) )
= $true )
| ( ( icext @ SV2 @ SV11 )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[170]) ).
thf(176,plain,
! [SV8: $i,SV5: $i,SV7: $i,SV2: $i,SV9: $i] :
( ( ( ic @ SV9 )
= $false )
| ( ( ic @ SV2 )
= $false )
| ( ( ic @ SV7 )
= $false )
| ( ( ~ ! [SY41: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY41 )
| ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) )
| ( icext @ SV2 @ SY41 ) ) ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(177,plain,
( ( ~ ( iext @ uri_rdf_type @ uri_ex_A @ uri_owl_Class ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[172]) ).
thf(178,plain,
( ( ~ ( iext @ uri_rdf_type @ uri_ex_B @ uri_owl_Class ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[172]) ).
thf(179,plain,
! [SV9: $i,SV8: $i,SV5: $i,SV2: $i,SV11: $i,SV7: $i] :
( ( ( icext @ SV7 @ SV11 )
= $true )
| ( ( icext @ SV2 @ SV11 )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[173]) ).
thf(180,plain,
! [SV7: $i,SV8: $i,SV5: $i,SV2: $i,SV11: $i,SV9: $i] :
( ( ( icext @ SV9 @ SV11 )
= $true )
| ( ( icext @ SV2 @ SV11 )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[174]) ).
thf(181,plain,
! [SV8: $i,SV5: $i,SV2: $i,SV9: $i,SV11: $i,SV7: $i] :
( ( ( icext @ SV7 @ SV11 )
= $false )
| ( ( ~ ( icext @ SV9 @ SV11 ) )
= $true )
| ( ( icext @ SV2 @ SV11 )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(182,plain,
! [SV8: $i,SV5: $i,SV9: $i,SV7: $i,SV2: $i] :
( ( ( ! [SY41: $i] :
~ ( ~ ( ~ ( icext @ SV2 @ SY41 )
| ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ SY41 )
| ~ ( icext @ SV9 @ SY41 ) )
| ( icext @ SV2 @ SY41 ) ) ) )
= $false )
| ( ( ic @ SV7 )
= $false )
| ( ( ic @ SV2 )
= $false )
| ( ( ic @ SV9 )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(183,plain,
( ( iext @ uri_rdf_type @ uri_ex_A @ uri_owl_Class )
= $true ),
inference(extcnf_not_neg,[status(thm)],[177]) ).
thf(184,plain,
( ( iext @ uri_rdf_type @ uri_ex_B @ uri_owl_Class )
= $true ),
inference(extcnf_not_neg,[status(thm)],[178]) ).
thf(185,plain,
! [SV8: $i,SV5: $i,SV2: $i,SV7: $i,SV11: $i,SV9: $i] :
( ( ( icext @ SV9 @ SV11 )
= $false )
| ( ( icext @ SV7 @ SV11 )
= $false )
| ( ( icext @ SV2 @ SV11 )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(186,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV8: $i,SV2: $i] :
( ( ( ~ ( ~ ( ~ ( icext @ SV2 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
| ~ ( ~ ( icext @ SV7 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
| ~ ( icext @ SV9 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
| ~ ( icext @ SV9 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) ) )
| ( icext @ SV2 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) ) ) ) )
= $false )
| ( ( ic @ SV7 )
= $false )
| ( ( ic @ SV2 )
= $false )
| ( ( ic @ SV9 )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[182]) ).
thf(187,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV8: $i,SV2: $i] :
( ( ( ~ ( ~ ( icext @ SV2 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
| ~ ( ~ ( icext @ SV7 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
| ~ ( icext @ SV9 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) ) ) )
| ~ ( ~ ~ ( ~ ( icext @ SV7 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
| ~ ( icext @ SV9 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) ) )
| ( icext @ SV2 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) ) ) )
= $true )
| ( ( ic @ SV7 )
= $false )
| ( ( ic @ SV2 )
= $false )
| ( ( ic @ SV9 )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[186]) ).
thf(188,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV8: $i,SV2: $i] :
( ( ( ~ ( ~ ( icext @ SV2 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
| ~ ( ~ ( icext @ SV7 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
| ~ ( icext @ SV9 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( icext @ SV7 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
| ~ ( icext @ SV9 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) ) )
| ( icext @ SV2 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) ) ) )
= $true )
| ( ( ic @ SV7 )
= $false )
| ( ( ic @ SV2 )
= $false )
| ( ( ic @ SV9 )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[187]) ).
thf(189,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV8: $i,SV2: $i] :
( ( ( ~ ( icext @ SV2 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
| ~ ( ~ ( icext @ SV7 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
| ~ ( icext @ SV9 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( icext @ SV7 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
| ~ ( icext @ SV9 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) ) )
| ( icext @ SV2 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) ) ) )
= $true )
| ( ( ic @ SV7 )
= $false )
| ( ( ic @ SV2 )
= $false )
| ( ( ic @ SV9 )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(190,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV8: $i,SV2: $i] :
( ( ( ~ ( icext @ SV2 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( icext @ SV7 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
| ~ ( icext @ SV9 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) ) )
| ( icext @ SV2 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) ) ) )
= $true )
| ( ( ic @ SV7 )
= $false )
| ( ( ic @ SV2 )
= $false )
| ( ( ic @ SV9 )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[189]) ).
thf(191,plain,
! [SV2: $i,SV9: $i,SV5: $i,SV8: $i,SV7: $i] :
( ( ( ~ ( ~ ( icext @ SV7 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
| ~ ( icext @ SV9 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( icext @ SV7 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
| ~ ( icext @ SV9 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) ) )
| ( icext @ SV2 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) ) ) )
= $true )
| ( ( ic @ SV7 )
= $false )
| ( ( ic @ SV2 )
= $false )
| ( ( ic @ SV9 )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[189]) ).
thf(192,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV8: $i,SV2: $i] :
( ( ( icext @ SV2 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( icext @ SV7 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
| ~ ( icext @ SV9 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) ) )
| ( icext @ SV2 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) ) ) )
= $true )
| ( ( ic @ SV7 )
= $false )
| ( ( ic @ SV2 )
= $false )
| ( ( ic @ SV9 )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[190]) ).
thf(193,plain,
! [SV2: $i,SV9: $i,SV5: $i,SV8: $i,SV7: $i] :
( ( ( ~ ( icext @ SV7 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
| ~ ( icext @ SV9 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( icext @ SV7 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
| ~ ( icext @ SV9 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) ) )
| ( icext @ SV2 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) ) ) )
= $true )
| ( ( ic @ SV7 )
= $false )
| ( ( ic @ SV2 )
= $false )
| ( ( ic @ SV9 )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[191]) ).
thf(194,plain,
! [SV2: $i,SV9: $i,SV5: $i,SV8: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ( icext @ SV7 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
| ~ ( icext @ SV9 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) ) )
| ( icext @ SV2 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) ) )
= $false )
| ( ( icext @ SV2 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
= $true )
| ( ( ic @ SV7 )
= $false )
| ( ( ic @ SV2 )
= $false )
| ( ( ic @ SV9 )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(195,plain,
! [SV2: $i,SV9: $i,SV5: $i,SV8: $i,SV7: $i] :
( ( ( ~ ( icext @ SV7 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) ) )
= $true )
| ( ( ~ ( icext @ SV9 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( icext @ SV7 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
| ~ ( icext @ SV9 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) ) )
| ( icext @ SV2 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) ) ) )
= $true )
| ( ( ic @ SV7 )
= $false )
| ( ( ic @ SV2 )
= $false )
| ( ( ic @ SV9 )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[193]) ).
thf(196,plain,
! [SV2: $i,SV9: $i,SV5: $i,SV8: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ( icext @ SV7 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
| ~ ( icext @ SV9 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) ) ) )
= $false )
| ( ( icext @ SV2 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
= $true )
| ( ( ic @ SV7 )
= $false )
| ( ( ic @ SV2 )
= $false )
| ( ( ic @ SV9 )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[194]) ).
thf(197,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV8: $i,SV2: $i] :
( ( ( icext @ SV2 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
= $false )
| ( ( icext @ SV2 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
= $true )
| ( ( ic @ SV7 )
= $false )
| ( ( ic @ SV2 )
= $false )
| ( ( ic @ SV9 )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[194]) ).
thf(198,plain,
! [SV2: $i,SV9: $i,SV5: $i,SV8: $i,SV7: $i] :
( ( ( icext @ SV7 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
= $false )
| ( ( ~ ( icext @ SV9 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( icext @ SV7 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
| ~ ( icext @ SV9 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) ) )
| ( icext @ SV2 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) ) ) )
= $true )
| ( ( ic @ SV7 )
= $false )
| ( ( ic @ SV2 )
= $false )
| ( ( ic @ SV9 )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(199,plain,
! [SV2: $i,SV9: $i,SV5: $i,SV8: $i,SV7: $i] :
( ( ( ~ ( ~ ( icext @ SV7 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
| ~ ( icext @ SV9 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) ) ) )
= $true )
| ( ( icext @ SV2 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
= $true )
| ( ( ic @ SV7 )
= $false )
| ( ( ic @ SV2 )
= $false )
| ( ( ic @ SV9 )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[196]) ).
thf(200,plain,
! [SV2: $i,SV7: $i,SV5: $i,SV8: $i,SV9: $i] :
( ( ( icext @ SV9 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
= $false )
| ( ( icext @ SV7 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( icext @ SV7 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
| ~ ( icext @ SV9 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) ) )
| ( icext @ SV2 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) ) ) )
= $true )
| ( ( ic @ SV7 )
= $false )
| ( ( ic @ SV2 )
= $false )
| ( ( ic @ SV9 )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(201,plain,
! [SV2: $i,SV9: $i,SV5: $i,SV8: $i,SV7: $i] :
( ( ( ~ ( icext @ SV7 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
| ~ ( icext @ SV9 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) ) )
= $false )
| ( ( icext @ SV2 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
= $true )
| ( ( ic @ SV7 )
= $false )
| ( ( ic @ SV2 )
= $false )
| ( ( ic @ SV9 )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(202,plain,
! [SV2: $i,SV9: $i,SV5: $i,SV8: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ( icext @ SV7 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
| ~ ( icext @ SV9 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) ) )
| ( icext @ SV2 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) ) )
= $false )
| ( ( icext @ SV7 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
= $false )
| ( ( icext @ SV9 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
= $false )
| ( ( ic @ SV7 )
= $false )
| ( ( ic @ SV2 )
= $false )
| ( ( ic @ SV9 )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(203,plain,
! [SV2: $i,SV9: $i,SV5: $i,SV8: $i,SV7: $i] :
( ( ( ~ ( icext @ SV7 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) ) )
= $false )
| ( ( icext @ SV2 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
= $true )
| ( ( ic @ SV7 )
= $false )
| ( ( ic @ SV2 )
= $false )
| ( ( ic @ SV9 )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[201]) ).
thf(204,plain,
! [SV2: $i,SV7: $i,SV5: $i,SV8: $i,SV9: $i] :
( ( ( ~ ( icext @ SV9 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) ) )
= $false )
| ( ( icext @ SV2 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
= $true )
| ( ( ic @ SV7 )
= $false )
| ( ( ic @ SV2 )
= $false )
| ( ( ic @ SV9 )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[201]) ).
thf(205,plain,
! [SV2: $i,SV9: $i,SV5: $i,SV8: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ( icext @ SV7 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
| ~ ( icext @ SV9 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) ) ) )
= $false )
| ( ( icext @ SV7 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
= $false )
| ( ( icext @ SV9 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
= $false )
| ( ( ic @ SV7 )
= $false )
| ( ( ic @ SV2 )
= $false )
| ( ( ic @ SV9 )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[202]) ).
thf(206,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV8: $i,SV2: $i] :
( ( ( icext @ SV2 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
= $false )
| ( ( icext @ SV7 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
= $false )
| ( ( icext @ SV9 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
= $false )
| ( ( ic @ SV7 )
= $false )
| ( ( ic @ SV2 )
= $false )
| ( ( ic @ SV9 )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[202]) ).
thf(207,plain,
! [SV2: $i,SV9: $i,SV5: $i,SV8: $i,SV7: $i] :
( ( ( icext @ SV7 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
= $true )
| ( ( icext @ SV2 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
= $true )
| ( ( ic @ SV7 )
= $false )
| ( ( ic @ SV2 )
= $false )
| ( ( ic @ SV9 )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[203]) ).
thf(208,plain,
! [SV2: $i,SV7: $i,SV5: $i,SV8: $i,SV9: $i] :
( ( ( icext @ SV9 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
= $true )
| ( ( icext @ SV2 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
= $true )
| ( ( ic @ SV7 )
= $false )
| ( ( ic @ SV2 )
= $false )
| ( ( ic @ SV9 )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[204]) ).
thf(209,plain,
! [SV2: $i,SV9: $i,SV5: $i,SV8: $i,SV7: $i] :
( ( ( ~ ( ~ ( icext @ SV7 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
| ~ ( icext @ SV9 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) ) ) )
= $true )
| ( ( icext @ SV7 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
= $false )
| ( ( icext @ SV9 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
= $false )
| ( ( ic @ SV7 )
= $false )
| ( ( ic @ SV2 )
= $false )
| ( ( ic @ SV9 )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[205]) ).
thf(210,plain,
! [SV2: $i,SV9: $i,SV5: $i,SV8: $i,SV7: $i] :
( ( ( ~ ( icext @ SV7 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
| ~ ( icext @ SV9 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) ) )
= $false )
| ( ( icext @ SV7 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
= $false )
| ( ( icext @ SV9 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
= $false )
| ( ( ic @ SV7 )
= $false )
| ( ( ic @ SV2 )
= $false )
| ( ( ic @ SV9 )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[209]) ).
thf(211,plain,
! [SV2: $i,SV9: $i,SV5: $i,SV8: $i,SV7: $i] :
( ( ( ~ ( icext @ SV7 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) ) )
= $false )
| ( ( icext @ SV7 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
= $false )
| ( ( icext @ SV9 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
= $false )
| ( ( ic @ SV7 )
= $false )
| ( ( ic @ SV2 )
= $false )
| ( ( ic @ SV9 )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[210]) ).
thf(212,plain,
! [SV2: $i,SV7: $i,SV5: $i,SV8: $i,SV9: $i] :
( ( ( ~ ( icext @ SV9 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) ) )
= $false )
| ( ( icext @ SV7 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
= $false )
| ( ( icext @ SV9 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
= $false )
| ( ( ic @ SV7 )
= $false )
| ( ( ic @ SV2 )
= $false )
| ( ( ic @ SV9 )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[210]) ).
thf(213,plain,
! [SV2: $i,SV9: $i,SV5: $i,SV8: $i,SV7: $i] :
( ( ( icext @ SV7 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
= $true )
| ( ( icext @ SV7 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
= $false )
| ( ( icext @ SV9 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
= $false )
| ( ( ic @ SV7 )
= $false )
| ( ( ic @ SV2 )
= $false )
| ( ( ic @ SV9 )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[211]) ).
thf(214,plain,
! [SV2: $i,SV7: $i,SV5: $i,SV8: $i,SV9: $i] :
( ( ( icext @ SV9 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
= $true )
| ( ( icext @ SV7 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
= $false )
| ( ( icext @ SV9 @ ( sK5_SY41 @ SV8 @ SV5 @ SV9 @ SV7 @ SV2 ) )
= $false )
| ( ( ic @ SV7 )
= $false )
| ( ( ic @ SV2 )
= $false )
| ( ( ic @ SV9 )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV2 @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV8 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV7 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV8 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[212]) ).
thf(215,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[22,214,213,208,207,206,197,185,184,183,180,179,168,163,162,149,144,132,119,108,99,91,86,85,68,67,52,51]) ).
thf(216,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[215]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB029+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.18 % Computer : n026.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Oct 6 15:56:47 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.50/0.28
% 0.50/0.28 No.of.Axioms: 4
% 0.50/0.28
% 0.50/0.28 Length.of.Defs: 0
% 0.50/0.28
% 0.50/0.28 Contains.Choice.Funs: false
% 0.50/0.28 ........
% 0.50/0.28
% 0.50/0.28 ********************************
% 0.50/0.28 * All subproblems solved! *
% 0.50/0.28 ********************************
% 0.50/0.28 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:4,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:215,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.50/0.28
% 0.50/0.28 %**** Beginning of derivation protocol ****
% 0.50/0.28 % SZS output start CNFRefutation
% See solution above
% 0.50/0.28
% 0.50/0.28 %**** End of derivation protocol ****
% 0.50/0.28 %**** no. of clauses in derivation: 216 ****
% 0.50/0.28 %**** clause counter: 215 ****
% 0.50/0.28
% 0.50/0.28 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:4,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:215,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------