TSTP Solution File: SWB025+2 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SWB025+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 19:13:32 EDT 2022
% Result : Theorem 0.58s 0.81s
% Output : CNFRefutation 0.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 28
% Syntax : Number of formulae : 549 ( 273 unt; 24 typ; 0 def)
% Number of atoms : 6925 (1498 equ; 0 cnn)
% Maximal formula atoms : 15 ( 13 avg)
% Number of connectives : 20675 (4323 ~;3270 |; 124 &;12948 @)
% ( 6 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 23 ( 23 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 24 usr; 19 con; 0-5 aty)
% Number of variables : 2058 ( 0 ^2048 !; 10 ?;2058 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_iext,type,
iext: $i > $i > $i > $o ).
thf(tp_ip,type,
ip: $i > $o ).
thf(tp_sK10_SY30,type,
sK10_SY30: $i > $i > $i > $i > $i > $i ).
thf(tp_sK1_BNODE_l11,type,
sK1_BNODE_l11: $i ).
thf(tp_sK2_SY17,type,
sK2_SY17: $i ).
thf(tp_sK3_SY21,type,
sK3_SY21: $i ).
thf(tp_sK4_SY24,type,
sK4_SY24: $i ).
thf(tp_sK5_SY26,type,
sK5_SY26: $i ).
thf(tp_sK6_X,type,
sK6_X: $i > $i > $i ).
thf(tp_sK7_SY27,type,
sK7_SY27: $i > $i > $i ).
thf(tp_sK8_Y0,type,
sK8_Y0: $i > $i > $i > $i > $i > $i ).
thf(tp_sK9_SY28,type,
sK9_SY28: $i > $i > $i > $i > $i > $i ).
thf(tp_uri_ex_alice,type,
uri_ex_alice: $i ).
thf(tp_uri_ex_bob,type,
uri_ex_bob: $i ).
thf(tp_uri_ex_charly,type,
uri_ex_charly: $i ).
thf(tp_uri_ex_dave,type,
uri_ex_dave: $i ).
thf(tp_uri_ex_hasCousin,type,
uri_ex_hasCousin: $i ).
thf(tp_uri_ex_hasFather,type,
uri_ex_hasFather: $i ).
thf(tp_uri_ex_hasUncle,type,
uri_ex_hasUncle: $i ).
thf(tp_uri_owl_inverseOf,type,
uri_owl_inverseOf: $i ).
thf(tp_uri_owl_propertyChainAxiom,type,
uri_owl_propertyChainAxiom: $i ).
thf(tp_uri_rdf_first,type,
uri_rdf_first: $i ).
thf(tp_uri_rdf_nil,type,
uri_rdf_nil: $i ).
thf(tp_uri_rdf_rest,type,
uri_rdf_rest: $i ).
thf(1,axiom,
? [BNODE_l11: $i,BNODE_l12: $i,BNODE_l21: $i,BNODE_l22: $i,BNODE_l3: $i] :
( ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ BNODE_l11 )
& ( iext @ uri_rdf_first @ BNODE_l11 @ uri_ex_hasCousin )
& ( iext @ uri_rdf_rest @ BNODE_l11 @ BNODE_l12 )
& ( iext @ uri_rdf_first @ BNODE_l12 @ uri_ex_hasFather )
& ( iext @ uri_rdf_rest @ BNODE_l12 @ uri_rdf_nil )
& ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ BNODE_l21 )
& ( iext @ uri_rdf_first @ BNODE_l21 @ uri_ex_hasUncle )
& ( iext @ uri_rdf_rest @ BNODE_l21 @ BNODE_l22 )
& ( iext @ uri_rdf_first @ BNODE_l22 @ BNODE_l3 )
& ( iext @ uri_rdf_rest @ BNODE_l22 @ uri_rdf_nil )
& ( iext @ uri_owl_inverseOf @ BNODE_l3 @ uri_ex_hasFather )
& ( iext @ uri_ex_hasFather @ uri_ex_alice @ uri_ex_dave )
& ( iext @ uri_ex_hasCousin @ uri_ex_alice @ uri_ex_bob )
& ( iext @ uri_ex_hasFather @ uri_ex_bob @ uri_ex_charly )
& ( iext @ uri_ex_hasUncle @ uri_ex_bob @ uri_ex_dave ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties) ).
thf(2,axiom,
! [P1: $i,P2: $i] :
( ( iext @ uri_owl_inverseOf @ P1 @ P2 )
<=> ( ( ip @ P1 )
& ( ip @ P2 )
& ! [X: $i,Y: $i] :
( ( iext @ P1 @ X @ Y )
<=> ( iext @ P2 @ Y @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_inv) ).
thf(3,axiom,
! [P: $i,S1: $i,P1: $i,S2: $i,P2: $i] :
( ( ( iext @ uri_rdf_first @ S1 @ P1 )
& ( iext @ uri_rdf_rest @ S1 @ S2 )
& ( iext @ uri_rdf_first @ S2 @ P2 )
& ( iext @ uri_rdf_rest @ S2 @ uri_rdf_nil ) )
=> ( ( iext @ uri_owl_propertyChainAxiom @ P @ S1 )
<=> ( ( ip @ P )
& ( ip @ P1 )
& ( ip @ P2 )
& ! [Y0: $i,Y1: $i,Y2: $i] :
( ( ( iext @ P1 @ Y0 @ Y1 )
& ( iext @ P2 @ Y1 @ Y2 ) )
=> ( iext @ P @ Y0 @ Y2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_chain_002) ).
thf(4,conjecture,
( ( iext @ uri_ex_hasUncle @ uri_ex_alice @ uri_ex_charly )
& ( iext @ uri_ex_hasCousin @ uri_ex_bob @ uri_ex_alice ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_025_Cyclic_Dependencies_between_Complex_Properties) ).
thf(5,negated_conjecture,
( ( ( iext @ uri_ex_hasUncle @ uri_ex_alice @ uri_ex_charly )
& ( iext @ uri_ex_hasCousin @ uri_ex_bob @ uri_ex_alice ) )
= $false ),
inference(negate_conjecture,[status(cth)],[4]) ).
thf(6,plain,
( ( ( iext @ uri_ex_hasUncle @ uri_ex_alice @ uri_ex_charly )
& ( iext @ uri_ex_hasCousin @ uri_ex_bob @ uri_ex_alice ) )
= $false ),
inference(unfold_def,[status(thm)],[5]) ).
thf(7,plain,
( ( ? [BNODE_l11: $i,BNODE_l12: $i,BNODE_l21: $i,BNODE_l22: $i,BNODE_l3: $i] :
( ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ BNODE_l11 )
& ( iext @ uri_rdf_first @ BNODE_l11 @ uri_ex_hasCousin )
& ( iext @ uri_rdf_rest @ BNODE_l11 @ BNODE_l12 )
& ( iext @ uri_rdf_first @ BNODE_l12 @ uri_ex_hasFather )
& ( iext @ uri_rdf_rest @ BNODE_l12 @ uri_rdf_nil )
& ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ BNODE_l21 )
& ( iext @ uri_rdf_first @ BNODE_l21 @ uri_ex_hasUncle )
& ( iext @ uri_rdf_rest @ BNODE_l21 @ BNODE_l22 )
& ( iext @ uri_rdf_first @ BNODE_l22 @ BNODE_l3 )
& ( iext @ uri_rdf_rest @ BNODE_l22 @ uri_rdf_nil )
& ( iext @ uri_owl_inverseOf @ BNODE_l3 @ uri_ex_hasFather )
& ( iext @ uri_ex_hasFather @ uri_ex_alice @ uri_ex_dave )
& ( iext @ uri_ex_hasCousin @ uri_ex_alice @ uri_ex_bob )
& ( iext @ uri_ex_hasFather @ uri_ex_bob @ uri_ex_charly )
& ( iext @ uri_ex_hasUncle @ uri_ex_bob @ uri_ex_dave ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(8,plain,
( ( ! [P1: $i,P2: $i] :
( ( iext @ uri_owl_inverseOf @ P1 @ P2 )
<=> ( ( ip @ P1 )
& ( ip @ P2 )
& ! [X: $i,Y: $i] :
( ( iext @ P1 @ X @ Y )
<=> ( iext @ P2 @ Y @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(9,plain,
( ( ! [P: $i,S1: $i,P1: $i,S2: $i,P2: $i] :
( ( ( iext @ uri_rdf_first @ S1 @ P1 )
& ( iext @ uri_rdf_rest @ S1 @ S2 )
& ( iext @ uri_rdf_first @ S2 @ P2 )
& ( iext @ uri_rdf_rest @ S2 @ uri_rdf_nil ) )
=> ( ( iext @ uri_owl_propertyChainAxiom @ P @ S1 )
<=> ( ( ip @ P )
& ( ip @ P1 )
& ( ip @ P2 )
& ! [Y0: $i,Y1: $i,Y2: $i] :
( ( ( iext @ P1 @ Y0 @ Y1 )
& ( iext @ P2 @ Y1 @ Y2 ) )
=> ( iext @ P @ Y0 @ Y2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(10,plain,
( ( iext @ uri_ex_hasUncle @ uri_ex_alice @ uri_ex_charly )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[6]) ).
thf(11,plain,
( ( iext @ uri_ex_hasCousin @ uri_ex_bob @ uri_ex_alice )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[6]) ).
thf(12,plain,
( ( ~ ( iext @ uri_ex_hasUncle @ uri_ex_alice @ uri_ex_charly ) )
= $true ),
inference(polarity_switch,[status(thm)],[10]) ).
thf(13,plain,
( ( ~ ( iext @ uri_ex_hasCousin @ uri_ex_bob @ uri_ex_alice ) )
= $true ),
inference(polarity_switch,[status(thm)],[11]) ).
thf(14,plain,
( ( ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
& ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin )
& ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 )
& ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather )
& ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil )
& ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 )
& ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle )
& ( iext @ uri_rdf_rest @ sK3_SY21 @ sK4_SY24 )
& ( iext @ uri_rdf_first @ sK4_SY24 @ sK5_SY26 )
& ( iext @ uri_rdf_rest @ sK4_SY24 @ uri_rdf_nil )
& ( iext @ uri_owl_inverseOf @ sK5_SY26 @ uri_ex_hasFather )
& ( iext @ uri_ex_hasFather @ uri_ex_alice @ uri_ex_dave )
& ( iext @ uri_ex_hasCousin @ uri_ex_alice @ uri_ex_bob )
& ( iext @ uri_ex_hasFather @ uri_ex_bob @ uri_ex_charly )
& ( iext @ uri_ex_hasUncle @ uri_ex_bob @ uri_ex_dave ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(15,plain,
( ( ! [P1: $i,P2: $i] :
( ( ( ~ ( iext @ P1 @ ( sK6_X @ P2 @ P1 ) @ ( sK7_SY27 @ P2 @ P1 ) )
| ~ ( iext @ P2 @ ( sK7_SY27 @ P2 @ P1 ) @ ( sK6_X @ P2 @ P1 ) ) )
& ( ( iext @ P1 @ ( sK6_X @ P2 @ P1 ) @ ( sK7_SY27 @ P2 @ P1 ) )
| ( iext @ P2 @ ( sK7_SY27 @ P2 @ P1 ) @ ( sK6_X @ P2 @ P1 ) ) ) )
| ~ ( ip @ P1 )
| ~ ( ip @ P2 )
| ( iext @ uri_owl_inverseOf @ P1 @ P2 ) )
& ! [P1: $i,P2: $i] :
( ~ ( iext @ uri_owl_inverseOf @ P1 @ P2 )
| ( ! [X: $i,Y: $i] :
( ~ ( iext @ P1 @ X @ Y )
| ( iext @ P2 @ Y @ X ) )
& ! [X: $i,Y: $i] :
( ~ ( iext @ P2 @ Y @ X )
| ( iext @ P1 @ X @ Y ) ) ) )
& ! [P1: $i] :
( ! [P2: $i] :
~ ( iext @ uri_owl_inverseOf @ P1 @ P2 )
| ( ip @ P1 ) )
& ! [P1: $i,P2: $i] :
( ~ ( iext @ uri_owl_inverseOf @ P1 @ P2 )
| ( ip @ P2 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(16,plain,
( ( ! [P: $i,S1: $i,P1: $i] :
( ! [S2: $i,P2: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ P1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ S2 )
| ~ ( iext @ uri_rdf_first @ S2 @ P2 )
| ~ ( iext @ uri_rdf_rest @ S2 @ uri_rdf_nil )
| ( ( iext @ P1 @ ( sK8_Y0 @ P2 @ S2 @ P1 @ S1 @ P ) @ ( sK9_SY28 @ P2 @ S2 @ P1 @ S1 @ P ) )
& ( iext @ P2 @ ( sK9_SY28 @ P2 @ S2 @ P1 @ S1 @ P ) @ ( sK10_SY30 @ P2 @ S2 @ P1 @ S1 @ P ) )
& ~ ( iext @ P @ ( sK8_Y0 @ P2 @ S2 @ P1 @ S1 @ P ) @ ( sK10_SY30 @ P2 @ S2 @ P1 @ S1 @ P ) ) )
| ~ ( ip @ P )
| ~ ( ip @ P1 )
| ~ ( ip @ P2 )
| ( iext @ uri_owl_propertyChainAxiom @ P @ S1 ) )
& ! [S2: $i,P2: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ P1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ S2 )
| ~ ( iext @ uri_rdf_first @ S2 @ P2 )
| ~ ( iext @ uri_rdf_rest @ S2 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ P @ S1 )
| ! [Y0: $i,Y1: $i,Y2: $i] :
( ~ ( iext @ P1 @ Y0 @ Y1 )
| ~ ( iext @ P2 @ Y1 @ Y2 )
| ( iext @ P @ Y0 @ Y2 ) ) )
& ( ! [S2: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ P1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ S2 )
| ! [P2: $i] :
~ ( iext @ uri_rdf_first @ S2 @ P2 )
| ~ ( iext @ uri_rdf_rest @ S2 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ P @ S1 )
| ( ip @ P ) )
& ( ! [S2: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ P1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ S2 )
| ! [P2: $i] :
~ ( iext @ uri_rdf_first @ S2 @ P2 )
| ~ ( iext @ uri_rdf_rest @ S2 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ P @ S1 )
| ( ip @ P1 ) )
& ! [S2: $i,P2: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ P1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ S2 )
| ~ ( iext @ uri_rdf_first @ S2 @ P2 )
| ~ ( iext @ uri_rdf_rest @ S2 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ P @ S1 )
| ( ip @ P2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[9]) ).
thf(17,plain,
( ( ! [P: $i,S1: $i,P1: $i] :
( ! [S2: $i,P2: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ P1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ S2 )
| ~ ( iext @ uri_rdf_first @ S2 @ P2 )
| ~ ( iext @ uri_rdf_rest @ S2 @ uri_rdf_nil )
| ( ( iext @ P1 @ ( sK8_Y0 @ P2 @ S2 @ P1 @ S1 @ P ) @ ( sK9_SY28 @ P2 @ S2 @ P1 @ S1 @ P ) )
& ( iext @ P2 @ ( sK9_SY28 @ P2 @ S2 @ P1 @ S1 @ P ) @ ( sK10_SY30 @ P2 @ S2 @ P1 @ S1 @ P ) )
& ~ ( iext @ P @ ( sK8_Y0 @ P2 @ S2 @ P1 @ S1 @ P ) @ ( sK10_SY30 @ P2 @ S2 @ P1 @ S1 @ P ) ) )
| ~ ( ip @ P )
| ~ ( ip @ P1 )
| ~ ( ip @ P2 )
| ( iext @ uri_owl_propertyChainAxiom @ P @ S1 ) )
& ! [S2: $i,P2: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ P1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ S2 )
| ~ ( iext @ uri_rdf_first @ S2 @ P2 )
| ~ ( iext @ uri_rdf_rest @ S2 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ P @ S1 )
| ! [Y0: $i,Y1: $i,Y2: $i] :
( ~ ( iext @ P1 @ Y0 @ Y1 )
| ~ ( iext @ P2 @ Y1 @ Y2 )
| ( iext @ P @ Y0 @ Y2 ) ) )
& ( ! [S2: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ P1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ S2 )
| ! [P2: $i] :
~ ( iext @ uri_rdf_first @ S2 @ P2 )
| ~ ( iext @ uri_rdf_rest @ S2 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ P @ S1 )
| ( ip @ P ) )
& ( ! [S2: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ P1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ S2 )
| ! [P2: $i] :
~ ( iext @ uri_rdf_first @ S2 @ P2 )
| ~ ( iext @ uri_rdf_rest @ S2 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ P @ S1 )
| ( ip @ P1 ) )
& ! [S2: $i,P2: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ P1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ S2 )
| ~ ( iext @ uri_rdf_first @ S2 @ P2 )
| ~ ( iext @ uri_rdf_rest @ S2 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ P @ S1 )
| ( ip @ P2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(18,plain,
( ( ! [P1: $i,P2: $i] :
( ( ( ~ ( iext @ P1 @ ( sK6_X @ P2 @ P1 ) @ ( sK7_SY27 @ P2 @ P1 ) )
| ~ ( iext @ P2 @ ( sK7_SY27 @ P2 @ P1 ) @ ( sK6_X @ P2 @ P1 ) ) )
& ( ( iext @ P1 @ ( sK6_X @ P2 @ P1 ) @ ( sK7_SY27 @ P2 @ P1 ) )
| ( iext @ P2 @ ( sK7_SY27 @ P2 @ P1 ) @ ( sK6_X @ P2 @ P1 ) ) ) )
| ~ ( ip @ P1 )
| ~ ( ip @ P2 )
| ( iext @ uri_owl_inverseOf @ P1 @ P2 ) )
& ! [P1: $i,P2: $i] :
( ~ ( iext @ uri_owl_inverseOf @ P1 @ P2 )
| ( ! [X: $i,Y: $i] :
( ~ ( iext @ P1 @ X @ Y )
| ( iext @ P2 @ Y @ X ) )
& ! [X: $i,Y: $i] :
( ~ ( iext @ P2 @ Y @ X )
| ( iext @ P1 @ X @ Y ) ) ) )
& ! [P1: $i] :
( ! [P2: $i] :
~ ( iext @ uri_owl_inverseOf @ P1 @ P2 )
| ( ip @ P1 ) )
& ! [P1: $i,P2: $i] :
( ~ ( iext @ uri_owl_inverseOf @ P1 @ P2 )
| ( ip @ P2 ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(19,plain,
( ( ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
& ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin )
& ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 )
& ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather )
& ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil )
& ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 )
& ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle )
& ( iext @ uri_rdf_rest @ sK3_SY21 @ sK4_SY24 )
& ( iext @ uri_rdf_first @ sK4_SY24 @ sK5_SY26 )
& ( iext @ uri_rdf_rest @ sK4_SY24 @ uri_rdf_nil )
& ( iext @ uri_owl_inverseOf @ sK5_SY26 @ uri_ex_hasFather )
& ( iext @ uri_ex_hasFather @ uri_ex_alice @ uri_ex_dave )
& ( iext @ uri_ex_hasCousin @ uri_ex_alice @ uri_ex_bob )
& ( iext @ uri_ex_hasFather @ uri_ex_bob @ uri_ex_charly )
& ( iext @ uri_ex_hasUncle @ uri_ex_bob @ uri_ex_dave ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(20,plain,
( ( ~ ( iext @ uri_ex_hasUncle @ uri_ex_alice @ uri_ex_charly ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(21,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 @ SX2 @ ( sK8_Y0 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( sK9_SY28 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ~ ( iext @ SX4 @ ( sK9_SY28 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( sK10_SY30 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ~ ( iext @ SX0 @ ( sK8_Y0 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( sK10_SY30 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ip @ SX0 )
| ~ ( ip @ SX2 )
| ~ ( ip @ SX4 )
| ( iext @ uri_owl_propertyChainAxiom @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX3: $i,SX4: $i] :
( ~ ( iext @ uri_rdf_first @ SX1 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SX1 @ SX3 )
| ~ ( iext @ uri_rdf_first @ SX3 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SX3 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SX0 @ SX1 )
| ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ( iext @ SX2 @ SX5 @ SX6 )
| ~ ( iext @ SX4 @ SX6 @ SX7 )
| ( iext @ SX0 @ SX5 @ SX7 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX3: $i] :
( ~ ( iext @ uri_rdf_first @ SX1 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SX1 @ SX3 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SX3 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SX3 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SX0 @ SX1 )
| ( ip @ SX0 ) )
| ~ ( ! [SX3: $i] :
( ~ ( iext @ uri_rdf_first @ SX1 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SX1 @ SX3 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SX3 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SX3 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SX0 @ SX1 )
| ( ip @ SX2 ) ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( iext @ uri_rdf_first @ SX1 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SX1 @ SX3 )
| ~ ( iext @ uri_rdf_first @ SX3 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SX3 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SX0 @ SX1 )
| ( ip @ SX4 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(22,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY21 @ sK4_SY24 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY24 @ sK5_SY26 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY24 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_inverseOf @ sK5_SY26 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_ex_hasFather @ uri_ex_alice @ uri_ex_dave ) )
| ~ ( iext @ uri_ex_hasCousin @ uri_ex_alice @ uri_ex_bob ) )
| ~ ( iext @ uri_ex_hasFather @ uri_ex_bob @ uri_ex_charly ) )
| ~ ( iext @ uri_ex_hasUncle @ uri_ex_bob @ uri_ex_dave ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(23,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( iext @ SX0 @ ( sK6_X @ SX1 @ SX0 ) @ ( sK7_SY27 @ SX1 @ SX0 ) )
| ~ ( iext @ SX1 @ ( sK7_SY27 @ SX1 @ SX0 ) @ ( sK6_X @ SX1 @ SX0 ) ) )
| ~ ( ( iext @ SX0 @ ( sK6_X @ SX1 @ SX0 ) @ ( sK7_SY27 @ SX1 @ SX0 ) )
| ( iext @ SX1 @ ( sK7_SY27 @ SX1 @ SX0 ) @ ( sK6_X @ SX1 @ SX0 ) ) ) )
| ~ ( ip @ SX0 )
| ~ ( ip @ SX1 )
| ( iext @ uri_owl_inverseOf @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i,SX3: $i] :
( ~ ( iext @ SX0 @ SX2 @ SX3 )
| ( iext @ SX1 @ SX3 @ SX2 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( iext @ SX1 @ SX3 @ SX2 )
| ( iext @ SX0 @ SX2 @ SX3 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ( ip @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ( ip @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(24,plain,
( ( iext @ uri_ex_hasUncle @ uri_ex_alice @ uri_ex_charly )
= $false ),
inference(extcnf_not_pos,[status(thm)],[20]) ).
thf(25,plain,
! [SV1: $i] :
( ( ! [SY31: $i,SY32: $i] :
~ ( ~ ! [SY33: $i,SY34: $i] :
( ~ ( iext @ uri_rdf_first @ SY31 @ SY32 )
| ~ ( iext @ uri_rdf_rest @ SY31 @ SY33 )
| ~ ( iext @ uri_rdf_first @ SY33 @ SY34 )
| ~ ( iext @ uri_rdf_rest @ SY33 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( iext @ SY32 @ ( sK8_Y0 @ SY34 @ SY33 @ SY32 @ SY31 @ SV1 ) @ ( sK9_SY28 @ SY34 @ SY33 @ SY32 @ SY31 @ SV1 ) )
| ~ ( iext @ SY34 @ ( sK9_SY28 @ SY34 @ SY33 @ SY32 @ SY31 @ SV1 ) @ ( sK10_SY30 @ SY34 @ SY33 @ SY32 @ SY31 @ SV1 ) ) )
| ~ ~ ( iext @ SV1 @ ( sK8_Y0 @ SY34 @ SY33 @ SY32 @ SY31 @ SV1 ) @ ( sK10_SY30 @ SY34 @ SY33 @ SY32 @ SY31 @ SV1 ) ) )
| ~ ( ip @ SV1 )
| ~ ( ip @ SY32 )
| ~ ( ip @ SY34 )
| ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SY31 ) )
| ~ ~ ( ~ ! [SY35: $i,SY36: $i] :
( ~ ( iext @ uri_rdf_first @ SY31 @ SY32 )
| ~ ( iext @ uri_rdf_rest @ SY31 @ SY35 )
| ~ ( iext @ uri_rdf_first @ SY35 @ SY36 )
| ~ ( iext @ uri_rdf_rest @ SY35 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SY31 )
| ! [SY37: $i,SY38: $i,SY39: $i] :
( ~ ( iext @ SY32 @ SY37 @ SY38 )
| ~ ( iext @ SY36 @ SY38 @ SY39 )
| ( iext @ SV1 @ SY37 @ SY39 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX3: $i] :
( ~ ( iext @ uri_rdf_first @ SY31 @ SY32 )
| ~ ( iext @ uri_rdf_rest @ SY31 @ SX3 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SX3 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SX3 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SY31 )
| ( ip @ SV1 ) )
| ~ ( ! [SX3: $i] :
( ~ ( iext @ uri_rdf_first @ SY31 @ SY32 )
| ~ ( iext @ uri_rdf_rest @ SY31 @ SX3 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SX3 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SX3 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SY31 )
| ( ip @ SY32 ) ) )
| ~ ! [SY44: $i,SY45: $i] :
( ~ ( iext @ uri_rdf_first @ SY31 @ SY32 )
| ~ ( iext @ uri_rdf_rest @ SY31 @ SY44 )
| ~ ( iext @ uri_rdf_first @ SY44 @ SY45 )
| ~ ( iext @ uri_rdf_rest @ SY44 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SY31 )
| ( ip @ SY45 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(26,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY21 @ sK4_SY24 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY24 @ sK5_SY26 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY24 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_inverseOf @ sK5_SY26 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_ex_hasFather @ uri_ex_alice @ uri_ex_dave ) )
| ~ ( iext @ uri_ex_hasCousin @ uri_ex_alice @ uri_ex_bob ) )
| ~ ( iext @ uri_ex_hasFather @ uri_ex_bob @ uri_ex_charly ) )
| ~ ( iext @ uri_ex_hasUncle @ uri_ex_bob @ uri_ex_dave ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(27,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( iext @ SX0 @ ( sK6_X @ SX1 @ SX0 ) @ ( sK7_SY27 @ SX1 @ SX0 ) )
| ~ ( iext @ SX1 @ ( sK7_SY27 @ SX1 @ SX0 ) @ ( sK6_X @ SX1 @ SX0 ) ) )
| ~ ( ( iext @ SX0 @ ( sK6_X @ SX1 @ SX0 ) @ ( sK7_SY27 @ SX1 @ SX0 ) )
| ( iext @ SX1 @ ( sK7_SY27 @ SX1 @ SX0 ) @ ( sK6_X @ SX1 @ SX0 ) ) ) )
| ~ ( ip @ SX0 )
| ~ ( ip @ SX1 )
| ( iext @ uri_owl_inverseOf @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i,SX3: $i] :
( ~ ( iext @ SX0 @ SX2 @ SX3 )
| ( iext @ SX1 @ SX3 @ SX2 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( iext @ SX1 @ SX3 @ SX2 )
| ( iext @ SX0 @ SX2 @ SX3 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ( ip @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ( ip @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(28,plain,
! [SV1: $i,SV2: $i] :
( ( ! [SY46: $i] :
~ ( ~ ! [SY47: $i,SY48: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SY46 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY47 )
| ~ ( iext @ uri_rdf_first @ SY47 @ SY48 )
| ~ ( iext @ uri_rdf_rest @ SY47 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( iext @ SY46 @ ( sK8_Y0 @ SY48 @ SY47 @ SY46 @ SV2 @ SV1 ) @ ( sK9_SY28 @ SY48 @ SY47 @ SY46 @ SV2 @ SV1 ) )
| ~ ( iext @ SY48 @ ( sK9_SY28 @ SY48 @ SY47 @ SY46 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SY48 @ SY47 @ SY46 @ SV2 @ SV1 ) ) )
| ~ ~ ( iext @ SV1 @ ( sK8_Y0 @ SY48 @ SY47 @ SY46 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SY48 @ SY47 @ SY46 @ SV2 @ SV1 ) ) )
| ~ ( ip @ SV1 )
| ~ ( ip @ SY46 )
| ~ ( ip @ SY48 )
| ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 ) )
| ~ ~ ( ~ ! [SY49: $i,SY50: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SY46 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY49 )
| ~ ( iext @ uri_rdf_first @ SY49 @ SY50 )
| ~ ( iext @ uri_rdf_rest @ SY49 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ! [SY37: $i,SY38: $i,SY39: $i] :
( ~ ( iext @ SY46 @ SY37 @ SY38 )
| ~ ( iext @ SY50 @ SY38 @ SY39 )
| ( iext @ SV1 @ SY37 @ SY39 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SY54: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SY46 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY54 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY54 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY54 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV1 ) )
| ~ ( ! [SY56: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SY46 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY56 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY56 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY56 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SY46 ) ) )
| ~ ! [SY58: $i,SY59: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SY46 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY58 )
| ~ ( iext @ uri_rdf_first @ SY58 @ SY59 )
| ~ ( iext @ uri_rdf_rest @ SY58 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SY59 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[25]) ).
thf(29,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY21 @ sK4_SY24 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY24 @ sK5_SY26 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY24 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_inverseOf @ sK5_SY26 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_ex_hasFather @ uri_ex_alice @ uri_ex_dave ) )
| ~ ( iext @ uri_ex_hasCousin @ uri_ex_alice @ uri_ex_bob ) )
| ~ ( iext @ uri_ex_hasFather @ uri_ex_bob @ uri_ex_charly ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(30,plain,
( ( ~ ( iext @ uri_ex_hasUncle @ uri_ex_bob @ uri_ex_dave ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(31,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( iext @ SX0 @ ( sK6_X @ SX1 @ SX0 ) @ ( sK7_SY27 @ SX1 @ SX0 ) )
| ~ ( iext @ SX1 @ ( sK7_SY27 @ SX1 @ SX0 ) @ ( sK6_X @ SX1 @ SX0 ) ) )
| ~ ( ( iext @ SX0 @ ( sK6_X @ SX1 @ SX0 ) @ ( sK7_SY27 @ SX1 @ SX0 ) )
| ( iext @ SX1 @ ( sK7_SY27 @ SX1 @ SX0 ) @ ( sK6_X @ SX1 @ SX0 ) ) ) )
| ~ ( ip @ SX0 )
| ~ ( ip @ SX1 )
| ( iext @ uri_owl_inverseOf @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[27]) ).
thf(32,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i,SX3: $i] :
( ~ ( iext @ SX0 @ SX2 @ SX3 )
| ( iext @ SX1 @ SX3 @ SX2 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( iext @ SX1 @ SX3 @ SX2 )
| ( iext @ SX0 @ SX2 @ SX3 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ( ip @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ( ip @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[27]) ).
thf(33,plain,
! [SV1: $i,SV3: $i,SV2: $i] :
( ( ~ ( ~ ! [SY60: $i,SY61: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY60 )
| ~ ( iext @ uri_rdf_first @ SY60 @ SY61 )
| ~ ( iext @ uri_rdf_rest @ SY60 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( iext @ SV3 @ ( sK8_Y0 @ SY61 @ SY60 @ SV3 @ SV2 @ SV1 ) @ ( sK9_SY28 @ SY61 @ SY60 @ SV3 @ SV2 @ SV1 ) )
| ~ ( iext @ SY61 @ ( sK9_SY28 @ SY61 @ SY60 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SY61 @ SY60 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ~ ( iext @ SV1 @ ( sK8_Y0 @ SY61 @ SY60 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SY61 @ SY60 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ( ip @ SV1 )
| ~ ( ip @ SV3 )
| ~ ( ip @ SY61 )
| ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 ) )
| ~ ~ ( ~ ! [SY62: $i,SY63: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY62 )
| ~ ( iext @ uri_rdf_first @ SY62 @ SY63 )
| ~ ( iext @ uri_rdf_rest @ SY62 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ! [SY64: $i,SY65: $i,SY66: $i] :
( ~ ( iext @ SV3 @ SY64 @ SY65 )
| ~ ( iext @ SY63 @ SY65 @ SY66 )
| ( iext @ SV1 @ SY64 @ SY66 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SY67: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY67 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY67 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY67 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV1 ) )
| ~ ( ! [SY69: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY69 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY69 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY69 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV3 ) ) )
| ~ ! [SY71: $i,SY72: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY71 )
| ~ ( iext @ uri_rdf_first @ SY71 @ SY72 )
| ~ ( iext @ uri_rdf_rest @ SY71 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SY72 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(34,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY21 @ sK4_SY24 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY24 @ sK5_SY26 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY24 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_inverseOf @ sK5_SY26 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_ex_hasFather @ uri_ex_alice @ uri_ex_dave ) )
| ~ ( iext @ uri_ex_hasCousin @ uri_ex_alice @ uri_ex_bob ) )
| ~ ( iext @ uri_ex_hasFather @ uri_ex_bob @ uri_ex_charly ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[29]) ).
thf(35,plain,
( ( iext @ uri_ex_hasUncle @ uri_ex_bob @ uri_ex_dave )
= $true ),
inference(extcnf_not_neg,[status(thm)],[30]) ).
thf(36,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( iext @ SX0 @ ( sK6_X @ SX1 @ SX0 ) @ ( sK7_SY27 @ SX1 @ SX0 ) )
| ~ ( iext @ SX1 @ ( sK7_SY27 @ SX1 @ SX0 ) @ ( sK6_X @ SX1 @ SX0 ) ) )
| ~ ( ( iext @ SX0 @ ( sK6_X @ SX1 @ SX0 ) @ ( sK7_SY27 @ SX1 @ SX0 ) )
| ( iext @ SX1 @ ( sK7_SY27 @ SX1 @ SX0 ) @ ( sK6_X @ SX1 @ SX0 ) ) ) )
| ~ ( ip @ SX0 )
| ~ ( ip @ SX1 )
| ( iext @ uri_owl_inverseOf @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[31]) ).
thf(37,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i,SX3: $i] :
( ~ ( iext @ SX0 @ SX2 @ SX3 )
| ( iext @ SX1 @ SX3 @ SX2 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( iext @ SX1 @ SX3 @ SX2 )
| ( iext @ SX0 @ SX2 @ SX3 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ( ip @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ( ip @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[32]) ).
thf(38,plain,
! [SV1: $i,SV3: $i,SV2: $i] :
( ( ~ ! [SY60: $i,SY61: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY60 )
| ~ ( iext @ uri_rdf_first @ SY60 @ SY61 )
| ~ ( iext @ uri_rdf_rest @ SY60 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( iext @ SV3 @ ( sK8_Y0 @ SY61 @ SY60 @ SV3 @ SV2 @ SV1 ) @ ( sK9_SY28 @ SY61 @ SY60 @ SV3 @ SV2 @ SV1 ) )
| ~ ( iext @ SY61 @ ( sK9_SY28 @ SY61 @ SY60 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SY61 @ SY60 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ~ ( iext @ SV1 @ ( sK8_Y0 @ SY61 @ SY60 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SY61 @ SY60 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ( ip @ SV1 )
| ~ ( ip @ SV3 )
| ~ ( ip @ SY61 )
| ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 ) )
| ~ ~ ( ~ ! [SY62: $i,SY63: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY62 )
| ~ ( iext @ uri_rdf_first @ SY62 @ SY63 )
| ~ ( iext @ uri_rdf_rest @ SY62 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ! [SY64: $i,SY65: $i,SY66: $i] :
( ~ ( iext @ SV3 @ SY64 @ SY65 )
| ~ ( iext @ SY63 @ SY65 @ SY66 )
| ( iext @ SV1 @ SY64 @ SY66 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SY67: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY67 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY67 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY67 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV1 ) )
| ~ ( ! [SY69: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY69 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY69 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY69 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV3 ) ) )
| ~ ! [SY71: $i,SY72: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY71 )
| ~ ( iext @ uri_rdf_first @ SY71 @ SY72 )
| ~ ( iext @ uri_rdf_rest @ SY71 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SY72 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(39,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY21 @ sK4_SY24 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY24 @ sK5_SY26 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY24 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_inverseOf @ sK5_SY26 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_ex_hasFather @ uri_ex_alice @ uri_ex_dave ) )
| ~ ( iext @ uri_ex_hasCousin @ uri_ex_alice @ uri_ex_bob ) )
| ~ ( iext @ uri_ex_hasFather @ uri_ex_bob @ uri_ex_charly ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(40,plain,
! [SV4: $i] :
( ( ! [SY73: $i] :
( ~ ( ~ ( ~ ( iext @ SV4 @ ( sK6_X @ SY73 @ SV4 ) @ ( sK7_SY27 @ SY73 @ SV4 ) )
| ~ ( iext @ SY73 @ ( sK7_SY27 @ SY73 @ SV4 ) @ ( sK6_X @ SY73 @ SV4 ) ) )
| ~ ( ( iext @ SV4 @ ( sK6_X @ SY73 @ SV4 ) @ ( sK7_SY27 @ SY73 @ SV4 ) )
| ( iext @ SY73 @ ( sK7_SY27 @ SY73 @ SV4 ) @ ( sK6_X @ SY73 @ SV4 ) ) ) )
| ~ ( ip @ SV4 )
| ~ ( ip @ SY73 )
| ( iext @ uri_owl_inverseOf @ SV4 @ SY73 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(41,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i,SX3: $i] :
( ~ ( iext @ SX0 @ SX2 @ SX3 )
| ( iext @ SX1 @ SX3 @ SX2 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( iext @ SX1 @ SX3 @ SX2 )
| ( iext @ SX0 @ SX2 @ SX3 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ( ip @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ( ip @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(42,plain,
! [SV1: $i,SV3: $i,SV2: $i] :
( ( ~ ! [SY60: $i,SY61: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY60 )
| ~ ( iext @ uri_rdf_first @ SY60 @ SY61 )
| ~ ( iext @ uri_rdf_rest @ SY60 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( iext @ SV3 @ ( sK8_Y0 @ SY61 @ SY60 @ SV3 @ SV2 @ SV1 ) @ ( sK9_SY28 @ SY61 @ SY60 @ SV3 @ SV2 @ SV1 ) )
| ~ ( iext @ SY61 @ ( sK9_SY28 @ SY61 @ SY60 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SY61 @ SY60 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ~ ( iext @ SV1 @ ( sK8_Y0 @ SY61 @ SY60 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SY61 @ SY60 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ( ip @ SV1 )
| ~ ( ip @ SV3 )
| ~ ( ip @ SY61 )
| ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(43,plain,
! [SV1: $i,SV3: $i,SV2: $i] :
( ( ~ ~ ( ~ ! [SY62: $i,SY63: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY62 )
| ~ ( iext @ uri_rdf_first @ SY62 @ SY63 )
| ~ ( iext @ uri_rdf_rest @ SY62 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ! [SY64: $i,SY65: $i,SY66: $i] :
( ~ ( iext @ SV3 @ SY64 @ SY65 )
| ~ ( iext @ SY63 @ SY65 @ SY66 )
| ( iext @ SV1 @ SY64 @ SY66 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SY67: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY67 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY67 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY67 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV1 ) )
| ~ ( ! [SY69: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY69 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY69 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY69 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV3 ) ) )
| ~ ! [SY71: $i,SY72: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY71 )
| ~ ( iext @ uri_rdf_first @ SY71 @ SY72 )
| ~ ( iext @ uri_rdf_rest @ SY71 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SY72 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(44,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY21 @ sK4_SY24 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY24 @ sK5_SY26 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY24 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_inverseOf @ sK5_SY26 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_ex_hasFather @ uri_ex_alice @ uri_ex_dave ) )
| ~ ( iext @ uri_ex_hasCousin @ uri_ex_alice @ uri_ex_bob ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[39]) ).
thf(45,plain,
( ( ~ ( iext @ uri_ex_hasFather @ uri_ex_bob @ uri_ex_charly ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[39]) ).
thf(46,plain,
! [SV5: $i,SV4: $i] :
( ( ~ ( ~ ( ~ ( iext @ SV4 @ ( sK6_X @ SV5 @ SV4 ) @ ( sK7_SY27 @ SV5 @ SV4 ) )
| ~ ( iext @ SV5 @ ( sK7_SY27 @ SV5 @ SV4 ) @ ( sK6_X @ SV5 @ SV4 ) ) )
| ~ ( ( iext @ SV4 @ ( sK6_X @ SV5 @ SV4 ) @ ( sK7_SY27 @ SV5 @ SV4 ) )
| ( iext @ SV5 @ ( sK7_SY27 @ SV5 @ SV4 ) @ ( sK6_X @ SV5 @ SV4 ) ) ) )
| ~ ( ip @ SV4 )
| ~ ( ip @ SV5 )
| ( iext @ uri_owl_inverseOf @ SV4 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(47,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i,SX3: $i] :
( ~ ( iext @ SX0 @ SX2 @ SX3 )
| ( iext @ SX1 @ SX3 @ SX2 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( iext @ SX1 @ SX3 @ SX2 )
| ( iext @ SX0 @ SX2 @ SX3 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(48,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ( ip @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ( ip @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(49,plain,
! [SV1: $i,SV3: $i,SV2: $i] :
( ( ! [SY60: $i,SY61: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY60 )
| ~ ( iext @ uri_rdf_first @ SY60 @ SY61 )
| ~ ( iext @ uri_rdf_rest @ SY60 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( iext @ SV3 @ ( sK8_Y0 @ SY61 @ SY60 @ SV3 @ SV2 @ SV1 ) @ ( sK9_SY28 @ SY61 @ SY60 @ SV3 @ SV2 @ SV1 ) )
| ~ ( iext @ SY61 @ ( sK9_SY28 @ SY61 @ SY60 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SY61 @ SY60 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ~ ( iext @ SV1 @ ( sK8_Y0 @ SY61 @ SY60 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SY61 @ SY60 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ( ip @ SV1 )
| ~ ( ip @ SV3 )
| ~ ( ip @ SY61 )
| ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[42]) ).
thf(50,plain,
! [SV1: $i,SV3: $i,SV2: $i] :
( ( ~ ( ~ ! [SY62: $i,SY63: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY62 )
| ~ ( iext @ uri_rdf_first @ SY62 @ SY63 )
| ~ ( iext @ uri_rdf_rest @ SY62 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ! [SY64: $i,SY65: $i,SY66: $i] :
( ~ ( iext @ SV3 @ SY64 @ SY65 )
| ~ ( iext @ SY63 @ SY65 @ SY66 )
| ( iext @ SV1 @ SY64 @ SY66 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SY67: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY67 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY67 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY67 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV1 ) )
| ~ ( ! [SY69: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY69 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY69 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY69 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV3 ) ) )
| ~ ! [SY71: $i,SY72: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY71 )
| ~ ( iext @ uri_rdf_first @ SY71 @ SY72 )
| ~ ( iext @ uri_rdf_rest @ SY71 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SY72 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[43]) ).
thf(51,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY21 @ sK4_SY24 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY24 @ sK5_SY26 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY24 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_inverseOf @ sK5_SY26 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_ex_hasFather @ uri_ex_alice @ uri_ex_dave ) )
| ~ ( iext @ uri_ex_hasCousin @ uri_ex_alice @ uri_ex_bob ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[44]) ).
thf(52,plain,
( ( iext @ uri_ex_hasFather @ uri_ex_bob @ uri_ex_charly )
= $true ),
inference(extcnf_not_neg,[status(thm)],[45]) ).
thf(53,plain,
! [SV5: $i,SV4: $i] :
( ( ( ~ ( ~ ( ~ ( iext @ SV4 @ ( sK6_X @ SV5 @ SV4 ) @ ( sK7_SY27 @ SV5 @ SV4 ) )
| ~ ( iext @ SV5 @ ( sK7_SY27 @ SV5 @ SV4 ) @ ( sK6_X @ SV5 @ SV4 ) ) )
| ~ ( ( iext @ SV4 @ ( sK6_X @ SV5 @ SV4 ) @ ( sK7_SY27 @ SV5 @ SV4 ) )
| ( iext @ SV5 @ ( sK7_SY27 @ SV5 @ SV4 ) @ ( sK6_X @ SV5 @ SV4 ) ) ) )
| ~ ( ip @ SV4 )
| ~ ( ip @ SV5 ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV4 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[46]) ).
thf(54,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i,SX3: $i] :
( ~ ( iext @ SX0 @ SX2 @ SX3 )
| ( iext @ SX1 @ SX3 @ SX2 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( iext @ SX1 @ SX3 @ SX2 )
| ( iext @ SX0 @ SX2 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[47]) ).
thf(55,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ( ip @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ( ip @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[48]) ).
thf(56,plain,
! [SV1: $i,SV6: $i,SV3: $i,SV2: $i] :
( ( ! [SY74: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SV6 )
| ~ ( iext @ uri_rdf_first @ SV6 @ SY74 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( iext @ SV3 @ ( sK8_Y0 @ SY74 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK9_SY28 @ SY74 @ SV6 @ SV3 @ SV2 @ SV1 ) )
| ~ ( iext @ SY74 @ ( sK9_SY28 @ SY74 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SY74 @ SV6 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ~ ( iext @ SV1 @ ( sK8_Y0 @ SY74 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SY74 @ SV6 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ( ip @ SV1 )
| ~ ( ip @ SV3 )
| ~ ( ip @ SY74 )
| ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(57,plain,
! [SV1: $i,SV3: $i,SV2: $i] :
( ( ~ ! [SY62: $i,SY63: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY62 )
| ~ ( iext @ uri_rdf_first @ SY62 @ SY63 )
| ~ ( iext @ uri_rdf_rest @ SY62 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ! [SY64: $i,SY65: $i,SY66: $i] :
( ~ ( iext @ SV3 @ SY64 @ SY65 )
| ~ ( iext @ SY63 @ SY65 @ SY66 )
| ( iext @ SV1 @ SY64 @ SY66 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SY67: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY67 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY67 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY67 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV1 ) )
| ~ ( ! [SY69: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY69 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY69 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY69 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV3 ) ) )
| ~ ! [SY71: $i,SY72: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY71 )
| ~ ( iext @ uri_rdf_first @ SY71 @ SY72 )
| ~ ( iext @ uri_rdf_rest @ SY71 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SY72 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(58,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY21 @ sK4_SY24 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY24 @ sK5_SY26 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY24 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_inverseOf @ sK5_SY26 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_ex_hasFather @ uri_ex_alice @ uri_ex_dave ) )
| ~ ( iext @ uri_ex_hasCousin @ uri_ex_alice @ uri_ex_bob ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(59,plain,
! [SV5: $i,SV4: $i] :
( ( ( ~ ( ~ ( ~ ( iext @ SV4 @ ( sK6_X @ SV5 @ SV4 ) @ ( sK7_SY27 @ SV5 @ SV4 ) )
| ~ ( iext @ SV5 @ ( sK7_SY27 @ SV5 @ SV4 ) @ ( sK6_X @ SV5 @ SV4 ) ) )
| ~ ( ( iext @ SV4 @ ( sK6_X @ SV5 @ SV4 ) @ ( sK7_SY27 @ SV5 @ SV4 ) )
| ( iext @ SV5 @ ( sK7_SY27 @ SV5 @ SV4 ) @ ( sK6_X @ SV5 @ SV4 ) ) ) ) )
= $true )
| ( ( ~ ( ip @ SV4 )
| ~ ( ip @ SV5 ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV4 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[53]) ).
thf(60,plain,
! [SV7: $i] :
( ( ! [SY75: $i] :
( ~ ( iext @ uri_owl_inverseOf @ SV7 @ SY75 )
| ~ ( ~ ! [SY76: $i,SY77: $i] :
( ~ ( iext @ SV7 @ SY76 @ SY77 )
| ( iext @ SY75 @ SY77 @ SY76 ) )
| ~ ! [SY78: $i,SY79: $i] :
( ~ ( iext @ SY75 @ SY79 @ SY78 )
| ( iext @ SV7 @ SY78 @ SY79 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(61,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ( ip @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ( ip @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(62,plain,
! [SV1: $i,SV8: $i,SV6: $i,SV3: $i,SV2: $i] :
( ( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SV6 )
| ~ ( iext @ uri_rdf_first @ SV6 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( iext @ SV3 @ ( sK8_Y0 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK9_SY28 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) )
| ~ ( iext @ SV8 @ ( sK9_SY28 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ~ ( iext @ SV1 @ ( sK8_Y0 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ( ip @ SV1 )
| ~ ( ip @ SV3 )
| ~ ( ip @ SV8 )
| ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(63,plain,
! [SV1: $i,SV3: $i,SV2: $i] :
( ( ~ ! [SY62: $i,SY63: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY62 )
| ~ ( iext @ uri_rdf_first @ SY62 @ SY63 )
| ~ ( iext @ uri_rdf_rest @ SY62 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ! [SY64: $i,SY65: $i,SY66: $i] :
( ~ ( iext @ SV3 @ SY64 @ SY65 )
| ~ ( iext @ SY63 @ SY65 @ SY66 )
| ( iext @ SV1 @ SY64 @ SY66 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[57]) ).
thf(64,plain,
! [SV1: $i,SV3: $i,SV2: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ! [SY67: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY67 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY67 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY67 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV1 ) )
| ~ ( ! [SY69: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY69 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY69 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY69 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV3 ) ) )
| ~ ! [SY71: $i,SY72: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY71 )
| ~ ( iext @ uri_rdf_first @ SY71 @ SY72 )
| ~ ( iext @ uri_rdf_rest @ SY71 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SY72 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[57]) ).
thf(65,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY21 @ sK4_SY24 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY24 @ sK5_SY26 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY24 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_inverseOf @ sK5_SY26 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_ex_hasFather @ uri_ex_alice @ uri_ex_dave ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(66,plain,
( ( ~ ( iext @ uri_ex_hasCousin @ uri_ex_alice @ uri_ex_bob ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(67,plain,
! [SV5: $i,SV4: $i] :
( ( ( ~ ( ~ ( iext @ SV4 @ ( sK6_X @ SV5 @ SV4 ) @ ( sK7_SY27 @ SV5 @ SV4 ) )
| ~ ( iext @ SV5 @ ( sK7_SY27 @ SV5 @ SV4 ) @ ( sK6_X @ SV5 @ SV4 ) ) )
| ~ ( ( iext @ SV4 @ ( sK6_X @ SV5 @ SV4 ) @ ( sK7_SY27 @ SV5 @ SV4 ) )
| ( iext @ SV5 @ ( sK7_SY27 @ SV5 @ SV4 ) @ ( sK6_X @ SV5 @ SV4 ) ) ) )
= $false )
| ( ( ~ ( ip @ SV4 )
| ~ ( ip @ SV5 ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV4 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(68,plain,
! [SV9: $i,SV7: $i] :
( ( ~ ( iext @ uri_owl_inverseOf @ SV7 @ SV9 )
| ~ ( ~ ! [SY80: $i,SY81: $i] :
( ~ ( iext @ SV7 @ SY80 @ SY81 )
| ( iext @ SV9 @ SY81 @ SY80 ) )
| ~ ! [SY82: $i,SY83: $i] :
( ~ ( iext @ SV9 @ SY83 @ SY82 )
| ( iext @ SV7 @ SY82 @ SY83 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(69,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ( ip @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[61]) ).
thf(70,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ( ip @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[61]) ).
thf(71,plain,
! [SV1: $i,SV8: $i,SV6: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SV6 )
| ~ ( iext @ uri_rdf_first @ SV6 @ SV8 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( iext @ SV3 @ ( sK8_Y0 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK9_SY28 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) )
| ~ ( iext @ SV8 @ ( sK9_SY28 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ~ ( iext @ SV1 @ ( sK8_Y0 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ( ip @ SV1 )
| ~ ( ip @ SV3 )
| ~ ( ip @ SV8 )
| ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[62]) ).
thf(72,plain,
! [SV1: $i,SV3: $i,SV2: $i] :
( ( ! [SY62: $i,SY63: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY62 )
| ~ ( iext @ uri_rdf_first @ SY62 @ SY63 )
| ~ ( iext @ uri_rdf_rest @ SY62 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ! [SY64: $i,SY65: $i,SY66: $i] :
( ~ ( iext @ SV3 @ SY64 @ SY65 )
| ~ ( iext @ SY63 @ SY65 @ SY66 )
| ( iext @ SV1 @ SY64 @ SY66 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(73,plain,
! [SV1: $i,SV3: $i,SV2: $i] :
( ( ~ ( ~ ~ ( ~ ( ! [SY67: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY67 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY67 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY67 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV1 ) )
| ~ ( ! [SY69: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY69 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY69 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY69 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV3 ) ) )
| ~ ! [SY71: $i,SY72: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY71 )
| ~ ( iext @ uri_rdf_first @ SY71 @ SY72 )
| ~ ( iext @ uri_rdf_rest @ SY71 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SY72 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[64]) ).
thf(74,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY21 @ sK4_SY24 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY24 @ sK5_SY26 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY24 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_inverseOf @ sK5_SY26 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_ex_hasFather @ uri_ex_alice @ uri_ex_dave ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[65]) ).
thf(75,plain,
( ( iext @ uri_ex_hasCousin @ uri_ex_alice @ uri_ex_bob )
= $true ),
inference(extcnf_not_neg,[status(thm)],[66]) ).
thf(76,plain,
! [SV5: $i,SV4: $i] :
( ( ( ~ ( ~ ( iext @ SV4 @ ( sK6_X @ SV5 @ SV4 ) @ ( sK7_SY27 @ SV5 @ SV4 ) )
| ~ ( iext @ SV5 @ ( sK7_SY27 @ SV5 @ SV4 ) @ ( sK6_X @ SV5 @ SV4 ) ) ) )
= $false )
| ( ( ~ ( ip @ SV4 )
| ~ ( ip @ SV5 ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV4 @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[67]) ).
thf(77,plain,
! [SV5: $i,SV4: $i] :
( ( ( ~ ( ( iext @ SV4 @ ( sK6_X @ SV5 @ SV4 ) @ ( sK7_SY27 @ SV5 @ SV4 ) )
| ( iext @ SV5 @ ( sK7_SY27 @ SV5 @ SV4 ) @ ( sK6_X @ SV5 @ SV4 ) ) ) )
= $false )
| ( ( ~ ( ip @ SV4 )
| ~ ( ip @ SV5 ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV4 @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[67]) ).
thf(78,plain,
! [SV9: $i,SV7: $i] :
( ( ( ~ ( iext @ uri_owl_inverseOf @ SV7 @ SV9 ) )
= $true )
| ( ( ~ ( ~ ! [SY80: $i,SY81: $i] :
( ~ ( iext @ SV7 @ SY80 @ SY81 )
| ( iext @ SV9 @ SY81 @ SY80 ) )
| ~ ! [SY82: $i,SY83: $i] :
( ~ ( iext @ SV9 @ SY83 @ SY82 )
| ( iext @ SV7 @ SY82 @ SY83 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[68]) ).
thf(79,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ( ip @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[69]) ).
thf(80,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ( ip @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[70]) ).
thf(81,plain,
! [SV1: $i,SV8: $i,SV6: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SV6 )
| ~ ( iext @ uri_rdf_first @ SV6 @ SV8 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( iext @ SV3 @ ( sK8_Y0 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK9_SY28 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) )
| ~ ( iext @ SV8 @ ( sK9_SY28 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ~ ( iext @ SV1 @ ( sK8_Y0 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ( ip @ SV1 )
| ~ ( ip @ SV3 )
| ~ ( ip @ SV8 )
| ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[71]) ).
thf(82,plain,
! [SV1: $i,SV10: $i,SV3: $i,SV2: $i] :
( ( ! [SY84: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SY84 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ! [SY64: $i,SY65: $i,SY66: $i] :
( ~ ( iext @ SV3 @ SY64 @ SY65 )
| ~ ( iext @ SY84 @ SY65 @ SY66 )
| ( iext @ SV1 @ SY64 @ SY66 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(83,plain,
! [SV1: $i,SV3: $i,SV2: $i] :
( ( ~ ~ ( ~ ( ! [SY67: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY67 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY67 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY67 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV1 ) )
| ~ ( ! [SY69: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY69 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY69 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY69 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV3 ) ) )
| ~ ! [SY71: $i,SY72: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY71 )
| ~ ( iext @ uri_rdf_first @ SY71 @ SY72 )
| ~ ( iext @ uri_rdf_rest @ SY71 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SY72 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(84,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY21 @ sK4_SY24 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY24 @ sK5_SY26 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY24 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_inverseOf @ sK5_SY26 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_ex_hasFather @ uri_ex_alice @ uri_ex_dave ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(85,plain,
! [SV5: $i,SV4: $i] :
( ( ( ~ ( iext @ SV4 @ ( sK6_X @ SV5 @ SV4 ) @ ( sK7_SY27 @ SV5 @ SV4 ) )
| ~ ( iext @ SV5 @ ( sK7_SY27 @ SV5 @ SV4 ) @ ( sK6_X @ SV5 @ SV4 ) ) )
= $true )
| ( ( ~ ( ip @ SV4 )
| ~ ( ip @ SV5 ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV4 @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[76]) ).
thf(86,plain,
! [SV5: $i,SV4: $i] :
( ( ( ( iext @ SV4 @ ( sK6_X @ SV5 @ SV4 ) @ ( sK7_SY27 @ SV5 @ SV4 ) )
| ( iext @ SV5 @ ( sK7_SY27 @ SV5 @ SV4 ) @ ( sK6_X @ SV5 @ SV4 ) ) )
= $true )
| ( ( ~ ( ip @ SV4 )
| ~ ( ip @ SV5 ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV4 @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[77]) ).
thf(87,plain,
! [SV9: $i,SV7: $i] :
( ( ( iext @ uri_owl_inverseOf @ SV7 @ SV9 )
= $false )
| ( ( ~ ( ~ ! [SY80: $i,SY81: $i] :
( ~ ( iext @ SV7 @ SY80 @ SY81 )
| ( iext @ SV9 @ SY81 @ SY80 ) )
| ~ ! [SY82: $i,SY83: $i] :
( ~ ( iext @ SV9 @ SY83 @ SY82 )
| ( iext @ SV7 @ SY82 @ SY83 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(88,plain,
! [SV11: $i] :
( ( ! [SY88: $i] :
~ ( iext @ uri_owl_inverseOf @ SV11 @ SY88 )
| ( ip @ SV11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(89,plain,
! [SV12: $i] :
( ( ! [SY89: $i] :
( ~ ( iext @ uri_owl_inverseOf @ SV12 @ SY89 )
| ( ip @ SY89 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(90,plain,
! [SV1: $i,SV8: $i,SV6: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SV6 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV8 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( iext @ SV3 @ ( sK8_Y0 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK9_SY28 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) )
| ~ ( iext @ SV8 @ ( sK9_SY28 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ~ ( iext @ SV1 @ ( sK8_Y0 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ( ip @ SV1 )
| ~ ( ip @ SV3 )
| ~ ( ip @ SV8 )
| ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[81]) ).
thf(91,plain,
! [SV1: $i,SV13: $i,SV10: $i,SV3: $i,SV2: $i] :
( ( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ! [SY90: $i,SY91: $i,SY92: $i] :
( ~ ( iext @ SV3 @ SY90 @ SY91 )
| ~ ( iext @ SV13 @ SY91 @ SY92 )
| ( iext @ SV1 @ SY90 @ SY92 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(92,plain,
! [SV1: $i,SV3: $i,SV2: $i] :
( ( ~ ~ ( ~ ( ! [SY67: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY67 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY67 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY67 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV1 ) )
| ~ ( ! [SY69: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY69 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY69 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY69 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV3 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[83]) ).
thf(93,plain,
! [SV1: $i,SV3: $i,SV2: $i] :
( ( ~ ! [SY71: $i,SY72: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY71 )
| ~ ( iext @ uri_rdf_first @ SY71 @ SY72 )
| ~ ( iext @ uri_rdf_rest @ SY71 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SY72 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[83]) ).
thf(94,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY21 @ sK4_SY24 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY24 @ sK5_SY26 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY24 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_inverseOf @ sK5_SY26 @ uri_ex_hasFather ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[84]) ).
thf(95,plain,
( ( ~ ( iext @ uri_ex_hasFather @ uri_ex_alice @ uri_ex_dave ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[84]) ).
thf(96,plain,
! [SV5: $i,SV4: $i] :
( ( ( ~ ( iext @ SV4 @ ( sK6_X @ SV5 @ SV4 ) @ ( sK7_SY27 @ SV5 @ SV4 ) ) )
= $true )
| ( ( ~ ( iext @ SV5 @ ( sK7_SY27 @ SV5 @ SV4 ) @ ( sK6_X @ SV5 @ SV4 ) ) )
= $true )
| ( ( ~ ( ip @ SV4 )
| ~ ( ip @ SV5 ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV4 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[85]) ).
thf(97,plain,
! [SV5: $i,SV4: $i] :
( ( ( iext @ SV4 @ ( sK6_X @ SV5 @ SV4 ) @ ( sK7_SY27 @ SV5 @ SV4 ) )
= $true )
| ( ( iext @ SV5 @ ( sK7_SY27 @ SV5 @ SV4 ) @ ( sK6_X @ SV5 @ SV4 ) )
= $true )
| ( ( ~ ( ip @ SV4 )
| ~ ( ip @ SV5 ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV4 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[86]) ).
thf(98,plain,
! [SV9: $i,SV7: $i] :
( ( ( ~ ! [SY80: $i,SY81: $i] :
( ~ ( iext @ SV7 @ SY80 @ SY81 )
| ( iext @ SV9 @ SY81 @ SY80 ) )
| ~ ! [SY82: $i,SY83: $i] :
( ~ ( iext @ SV9 @ SY83 @ SY82 )
| ( iext @ SV7 @ SY82 @ SY83 ) ) )
= $false )
| ( ( iext @ uri_owl_inverseOf @ SV7 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(99,plain,
! [SV11: $i] :
( ( ( ! [SY88: $i] :
~ ( iext @ uri_owl_inverseOf @ SV11 @ SY88 ) )
= $true )
| ( ( ip @ SV11 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[88]) ).
thf(100,plain,
! [SV14: $i,SV12: $i] :
( ( ~ ( iext @ uri_owl_inverseOf @ SV12 @ SV14 )
| ( ip @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(101,plain,
! [SV1: $i,SV8: $i,SV6: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV2 @ SV6 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV8 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( iext @ SV3 @ ( sK8_Y0 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK9_SY28 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) )
| ~ ( iext @ SV8 @ ( sK9_SY28 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ~ ( iext @ SV1 @ ( sK8_Y0 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ( ip @ SV1 )
| ~ ( ip @ SV3 )
| ~ ( ip @ SV8 )
| ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[90]) ).
thf(102,plain,
! [SV1: $i,SV13: $i,SV10: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ! [SY90: $i,SY91: $i,SY92: $i] :
( ~ ( iext @ SV3 @ SY90 @ SY91 )
| ~ ( iext @ SV13 @ SY91 @ SY92 )
| ( iext @ SV1 @ SY90 @ SY92 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[91]) ).
thf(103,plain,
! [SV1: $i,SV3: $i,SV2: $i] :
( ( ~ ( ~ ( ! [SY67: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY67 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY67 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY67 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV1 ) )
| ~ ( ! [SY69: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY69 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY69 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY69 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV3 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[92]) ).
thf(104,plain,
! [SV1: $i,SV3: $i,SV2: $i] :
( ( ! [SY71: $i,SY72: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY71 )
| ~ ( iext @ uri_rdf_first @ SY71 @ SY72 )
| ~ ( iext @ uri_rdf_rest @ SY71 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SY72 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[93]) ).
thf(105,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY21 @ sK4_SY24 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY24 @ sK5_SY26 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY24 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_inverseOf @ sK5_SY26 @ uri_ex_hasFather ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[94]) ).
thf(106,plain,
( ( iext @ uri_ex_hasFather @ uri_ex_alice @ uri_ex_dave )
= $true ),
inference(extcnf_not_neg,[status(thm)],[95]) ).
thf(107,plain,
! [SV5: $i,SV4: $i] :
( ( ( iext @ SV4 @ ( sK6_X @ SV5 @ SV4 ) @ ( sK7_SY27 @ SV5 @ SV4 ) )
= $false )
| ( ( ~ ( iext @ SV5 @ ( sK7_SY27 @ SV5 @ SV4 ) @ ( sK6_X @ SV5 @ SV4 ) ) )
= $true )
| ( ( ~ ( ip @ SV4 )
| ~ ( ip @ SV5 ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV4 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(108,plain,
! [SV5: $i,SV4: $i] :
( ( ( ~ ( ip @ SV4 ) )
= $true )
| ( ( ~ ( ip @ SV5 ) )
= $true )
| ( ( iext @ SV5 @ ( sK7_SY27 @ SV5 @ SV4 ) @ ( sK6_X @ SV5 @ SV4 ) )
= $true )
| ( ( iext @ SV4 @ ( sK6_X @ SV5 @ SV4 ) @ ( sK7_SY27 @ SV5 @ SV4 ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV4 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[97]) ).
thf(109,plain,
! [SV9: $i,SV7: $i] :
( ( ( ~ ! [SY80: $i,SY81: $i] :
( ~ ( iext @ SV7 @ SY80 @ SY81 )
| ( iext @ SV9 @ SY81 @ SY80 ) ) )
= $false )
| ( ( iext @ uri_owl_inverseOf @ SV7 @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[98]) ).
thf(110,plain,
! [SV7: $i,SV9: $i] :
( ( ( ~ ! [SY82: $i,SY83: $i] :
( ~ ( iext @ SV9 @ SY83 @ SY82 )
| ( iext @ SV7 @ SY82 @ SY83 ) ) )
= $false )
| ( ( iext @ uri_owl_inverseOf @ SV7 @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[98]) ).
thf(111,plain,
! [SV15: $i,SV11: $i] :
( ( ( ~ ( iext @ uri_owl_inverseOf @ SV11 @ SV15 ) )
= $true )
| ( ( ip @ SV11 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(112,plain,
! [SV14: $i,SV12: $i] :
( ( ( ~ ( iext @ uri_owl_inverseOf @ SV12 @ SV14 ) )
= $true )
| ( ( ip @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[100]) ).
thf(113,plain,
! [SV1: $i,SV8: $i,SV6: $i,SV3: $i,SV2: $i] :
( ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV2 @ SV6 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV8 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( iext @ SV3 @ ( sK8_Y0 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK9_SY28 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) )
| ~ ( iext @ SV8 @ ( sK9_SY28 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ~ ( iext @ SV1 @ ( sK8_Y0 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ( ip @ SV1 )
| ~ ( ip @ SV3 )
| ~ ( ip @ SV8 )
| ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(114,plain,
! [SV1: $i,SV13: $i,SV10: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV10 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ! [SY90: $i,SY91: $i,SY92: $i] :
( ~ ( iext @ SV3 @ SY90 @ SY91 )
| ~ ( iext @ SV13 @ SY91 @ SY92 )
| ( iext @ SV1 @ SY90 @ SY92 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[102]) ).
thf(115,plain,
! [SV1: $i,SV3: $i,SV2: $i] :
( ( ~ ( ! [SY67: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY67 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY67 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY67 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV1 ) )
| ~ ( ! [SY69: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY69 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY69 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY69 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV3 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(116,plain,
! [SV1: $i,SV16: $i,SV3: $i,SV2: $i] :
( ( ! [SY93: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SV16 )
| ~ ( iext @ uri_rdf_first @ SV16 @ SY93 )
| ~ ( iext @ uri_rdf_rest @ SV16 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SY93 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(117,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY21 @ sK4_SY24 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY24 @ sK5_SY26 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY24 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_inverseOf @ sK5_SY26 @ uri_ex_hasFather ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(118,plain,
! [SV4: $i,SV5: $i] :
( ( ( iext @ SV5 @ ( sK7_SY27 @ SV5 @ SV4 ) @ ( sK6_X @ SV5 @ SV4 ) )
= $false )
| ( ( iext @ SV4 @ ( sK6_X @ SV5 @ SV4 ) @ ( sK7_SY27 @ SV5 @ SV4 ) )
= $false )
| ( ( ~ ( ip @ SV4 )
| ~ ( ip @ SV5 ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV4 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(119,plain,
! [SV5: $i,SV4: $i] :
( ( ( ip @ SV4 )
= $false )
| ( ( ~ ( ip @ SV5 ) )
= $true )
| ( ( iext @ SV5 @ ( sK7_SY27 @ SV5 @ SV4 ) @ ( sK6_X @ SV5 @ SV4 ) )
= $true )
| ( ( iext @ SV4 @ ( sK6_X @ SV5 @ SV4 ) @ ( sK7_SY27 @ SV5 @ SV4 ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV4 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(120,plain,
! [SV9: $i,SV7: $i] :
( ( ( ! [SY80: $i,SY81: $i] :
( ~ ( iext @ SV7 @ SY80 @ SY81 )
| ( iext @ SV9 @ SY81 @ SY80 ) ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV7 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[109]) ).
thf(121,plain,
! [SV7: $i,SV9: $i] :
( ( ( ! [SY82: $i,SY83: $i] :
( ~ ( iext @ SV9 @ SY83 @ SY82 )
| ( iext @ SV7 @ SY82 @ SY83 ) ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV7 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[110]) ).
thf(122,plain,
! [SV15: $i,SV11: $i] :
( ( ( iext @ uri_owl_inverseOf @ SV11 @ SV15 )
= $false )
| ( ( ip @ SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(123,plain,
! [SV14: $i,SV12: $i] :
( ( ( iext @ uri_owl_inverseOf @ SV12 @ SV14 )
= $false )
| ( ( ip @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(124,plain,
! [SV1: $i,SV8: $i,SV3: $i,SV6: $i,SV2: $i] :
( ( ( iext @ uri_rdf_rest @ SV2 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV8 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( iext @ SV3 @ ( sK8_Y0 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK9_SY28 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) )
| ~ ( iext @ SV8 @ ( sK9_SY28 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ~ ( iext @ SV1 @ ( sK8_Y0 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ( ip @ SV1 )
| ~ ( ip @ SV3 )
| ~ ( ip @ SV8 )
| ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(125,plain,
! [SV1: $i,SV13: $i,SV10: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SV10 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV10 @ SV13 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV10 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ! [SY90: $i,SY91: $i,SY92: $i] :
( ~ ( iext @ SV3 @ SY90 @ SY91 )
| ~ ( iext @ SV13 @ SY91 @ SY92 )
| ( iext @ SV1 @ SY90 @ SY92 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[114]) ).
thf(126,plain,
! [SV1: $i,SV3: $i,SV2: $i] :
( ( ~ ( ! [SY67: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY67 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY67 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY67 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[115]) ).
thf(127,plain,
! [SV1: $i,SV3: $i,SV2: $i] :
( ( ~ ( ! [SY69: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY69 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY69 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY69 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV3 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[115]) ).
thf(128,plain,
! [SV1: $i,SV17: $i,SV16: $i,SV3: $i,SV2: $i] :
( ( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SV16 )
| ~ ( iext @ uri_rdf_first @ SV16 @ SV17 )
| ~ ( iext @ uri_rdf_rest @ SV16 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(129,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY21 @ sK4_SY24 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY24 @ sK5_SY26 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY24 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[117]) ).
thf(130,plain,
( ( ~ ( iext @ uri_owl_inverseOf @ sK5_SY26 @ uri_ex_hasFather ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[117]) ).
thf(131,plain,
! [SV5: $i,SV4: $i] :
( ( ( ~ ( ip @ SV4 ) )
= $true )
| ( ( ~ ( ip @ SV5 ) )
= $true )
| ( ( iext @ SV4 @ ( sK6_X @ SV5 @ SV4 ) @ ( sK7_SY27 @ SV5 @ SV4 ) )
= $false )
| ( ( iext @ SV5 @ ( sK7_SY27 @ SV5 @ SV4 ) @ ( sK6_X @ SV5 @ SV4 ) )
= $false )
| ( ( iext @ uri_owl_inverseOf @ SV4 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(132,plain,
! [SV4: $i,SV5: $i] :
( ( ( ip @ SV5 )
= $false )
| ( ( ip @ SV4 )
= $false )
| ( ( iext @ SV5 @ ( sK7_SY27 @ SV5 @ SV4 ) @ ( sK6_X @ SV5 @ SV4 ) )
= $true )
| ( ( iext @ SV4 @ ( sK6_X @ SV5 @ SV4 ) @ ( sK7_SY27 @ SV5 @ SV4 ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV4 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(133,plain,
! [SV9: $i,SV18: $i,SV7: $i] :
( ( ( ! [SY94: $i] :
( ~ ( iext @ SV7 @ SV18 @ SY94 )
| ( iext @ SV9 @ SY94 @ SV18 ) ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV7 @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[120]) ).
thf(134,plain,
! [SV7: $i,SV19: $i,SV9: $i] :
( ( ( ! [SY95: $i] :
( ~ ( iext @ SV9 @ SY95 @ SV19 )
| ( iext @ SV7 @ SV19 @ SY95 ) ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV7 @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[121]) ).
thf(135,plain,
! [SV1: $i,SV3: $i,SV2: $i,SV8: $i,SV6: $i] :
( ( ( iext @ uri_rdf_first @ SV6 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV6 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( iext @ SV3 @ ( sK8_Y0 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK9_SY28 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) )
| ~ ( iext @ SV8 @ ( sK9_SY28 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ~ ( iext @ SV1 @ ( sK8_Y0 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ( ip @ SV1 )
| ~ ( ip @ SV3 )
| ~ ( ip @ SV8 )
| ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(136,plain,
! [SV1: $i,SV13: $i,SV10: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV2 @ SV10 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV10 @ SV13 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV10 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ! [SY90: $i,SY91: $i,SY92: $i] :
( ~ ( iext @ SV3 @ SY90 @ SY91 )
| ~ ( iext @ SV13 @ SY91 @ SY92 )
| ( iext @ SV1 @ SY90 @ SY92 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[125]) ).
thf(137,plain,
! [SV1: $i,SV3: $i,SV2: $i] :
( ( ! [SY67: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY67 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY67 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY67 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV1 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[126]) ).
thf(138,plain,
! [SV1: $i,SV3: $i,SV2: $i] :
( ( ! [SY69: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY69 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY69 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY69 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV3 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[127]) ).
thf(139,plain,
! [SV1: $i,SV17: $i,SV16: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SV16 )
| ~ ( iext @ uri_rdf_first @ SV16 @ SV17 )
| ~ ( iext @ uri_rdf_rest @ SV16 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[128]) ).
thf(140,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY21 @ sK4_SY24 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY24 @ sK5_SY26 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY24 @ uri_rdf_nil ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[129]) ).
thf(141,plain,
( ( iext @ uri_owl_inverseOf @ sK5_SY26 @ uri_ex_hasFather )
= $true ),
inference(extcnf_not_neg,[status(thm)],[130]) ).
thf(142,plain,
! [SV5: $i,SV4: $i] :
( ( ( ip @ SV4 )
= $false )
| ( ( ~ ( ip @ SV5 ) )
= $true )
| ( ( iext @ SV4 @ ( sK6_X @ SV5 @ SV4 ) @ ( sK7_SY27 @ SV5 @ SV4 ) )
= $false )
| ( ( iext @ SV5 @ ( sK7_SY27 @ SV5 @ SV4 ) @ ( sK6_X @ SV5 @ SV4 ) )
= $false )
| ( ( iext @ uri_owl_inverseOf @ SV4 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(143,plain,
! [SV9: $i,SV20: $i,SV18: $i,SV7: $i] :
( ( ( ~ ( iext @ SV7 @ SV18 @ SV20 )
| ( iext @ SV9 @ SV20 @ SV18 ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV7 @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[133]) ).
thf(144,plain,
! [SV7: $i,SV19: $i,SV21: $i,SV9: $i] :
( ( ( ~ ( iext @ SV9 @ SV21 @ SV19 )
| ( iext @ SV7 @ SV19 @ SV21 ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV7 @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[134]) ).
thf(145,plain,
! [SV1: $i,SV8: $i,SV3: $i,SV2: $i,SV6: $i] :
( ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV8 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( iext @ SV3 @ ( sK8_Y0 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK9_SY28 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) )
| ~ ( iext @ SV8 @ ( sK9_SY28 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ~ ( iext @ SV1 @ ( sK8_Y0 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ( ip @ SV1 )
| ~ ( ip @ SV3 )
| ~ ( ip @ SV8 )
| ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(146,plain,
! [SV1: $i,SV13: $i,SV10: $i,SV3: $i,SV2: $i] :
( ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV2 @ SV10 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV10 @ SV13 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV10 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ! [SY90: $i,SY91: $i,SY92: $i] :
( ~ ( iext @ SV3 @ SY90 @ SY91 )
| ~ ( iext @ SV13 @ SY91 @ SY92 )
| ( iext @ SV1 @ SY90 @ SY92 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(147,plain,
! [SV1: $i,SV3: $i,SV2: $i] :
( ( ( ! [SY67: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY67 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY67 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY67 @ uri_rdf_nil ) ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[137]) ).
thf(148,plain,
! [SV1: $i,SV3: $i,SV2: $i] :
( ( ( ! [SY69: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY69 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY69 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY69 @ uri_rdf_nil ) ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[138]) ).
thf(149,plain,
! [SV1: $i,SV17: $i,SV16: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SV16 )
| ~ ( iext @ uri_rdf_first @ SV16 @ SV17 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV16 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[139]) ).
thf(150,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY21 @ sK4_SY24 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY24 @ sK5_SY26 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY24 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(151,plain,
! [SV4: $i,SV5: $i] :
( ( ( ip @ SV5 )
= $false )
| ( ( ip @ SV4 )
= $false )
| ( ( iext @ SV4 @ ( sK6_X @ SV5 @ SV4 ) @ ( sK7_SY27 @ SV5 @ SV4 ) )
= $false )
| ( ( iext @ SV5 @ ( sK7_SY27 @ SV5 @ SV4 ) @ ( sK6_X @ SV5 @ SV4 ) )
= $false )
| ( ( iext @ uri_owl_inverseOf @ SV4 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(152,plain,
! [SV9: $i,SV20: $i,SV18: $i,SV7: $i] :
( ( ( ~ ( iext @ SV7 @ SV18 @ SV20 ) )
= $true )
| ( ( iext @ SV9 @ SV20 @ SV18 )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV7 @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[143]) ).
thf(153,plain,
! [SV7: $i,SV19: $i,SV21: $i,SV9: $i] :
( ( ( ~ ( iext @ SV9 @ SV21 @ SV19 ) )
= $true )
| ( ( iext @ SV7 @ SV19 @ SV21 )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV7 @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[144]) ).
thf(154,plain,
! [SV1: $i,SV2: $i,SV6: $i,SV8: $i,SV3: $i] :
( ( ( ~ ( ~ ~ ( ~ ( iext @ SV3 @ ( sK8_Y0 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK9_SY28 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) )
| ~ ( iext @ SV8 @ ( sK9_SY28 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ~ ( iext @ SV1 @ ( sK8_Y0 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ( ip @ SV1 )
| ~ ( ip @ SV3 )
| ~ ( ip @ SV8 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[145]) ).
thf(155,plain,
! [SV1: $i,SV13: $i,SV3: $i,SV10: $i,SV2: $i] :
( ( ( iext @ uri_rdf_rest @ SV2 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV10 @ SV13 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV10 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ! [SY90: $i,SY91: $i,SY92: $i] :
( ~ ( iext @ SV3 @ SY90 @ SY91 )
| ~ ( iext @ SV13 @ SY91 @ SY92 )
| ( iext @ SV1 @ SY90 @ SY92 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(156,plain,
! [SV1: $i,SV22: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SV22 )
| ! [SY96: $i] :
~ ( iext @ uri_rdf_first @ SV22 @ SY96 )
| ~ ( iext @ uri_rdf_rest @ SV22 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[147]) ).
thf(157,plain,
! [SV1: $i,SV23: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SV23 )
| ! [SY97: $i] :
~ ( iext @ uri_rdf_first @ SV23 @ SY97 )
| ~ ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV3 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[148]) ).
thf(158,plain,
! [SV1: $i,SV17: $i,SV16: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SV16 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV16 @ SV17 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV16 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[149]) ).
thf(159,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY21 @ sK4_SY24 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY24 @ sK5_SY26 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[150]) ).
thf(160,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK4_SY24 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[150]) ).
thf(161,plain,
! [SV9: $i,SV20: $i,SV18: $i,SV7: $i] :
( ( ( iext @ SV7 @ SV18 @ SV20 )
= $false )
| ( ( iext @ SV9 @ SV20 @ SV18 )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV7 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(162,plain,
! [SV7: $i,SV19: $i,SV21: $i,SV9: $i] :
( ( ( iext @ SV9 @ SV21 @ SV19 )
= $false )
| ( ( iext @ SV7 @ SV19 @ SV21 )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV7 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(163,plain,
! [SV1: $i,SV2: $i,SV6: $i,SV8: $i,SV3: $i] :
( ( ( ~ ( ~ ~ ( ~ ( iext @ SV3 @ ( sK8_Y0 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK9_SY28 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) )
| ~ ( iext @ SV8 @ ( sK9_SY28 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ~ ( iext @ SV1 @ ( sK8_Y0 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) ) ) )
= $true )
| ( ( ~ ( ip @ SV1 )
| ~ ( ip @ SV3 )
| ~ ( ip @ SV8 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[154]) ).
thf(164,plain,
! [SV1: $i,SV3: $i,SV2: $i,SV13: $i,SV10: $i] :
( ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV10 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV10 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ! [SY90: $i,SY91: $i,SY92: $i] :
( ~ ( iext @ SV3 @ SY90 @ SY91 )
| ~ ( iext @ SV13 @ SY91 @ SY92 )
| ( iext @ SV1 @ SY90 @ SY92 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[155]) ).
thf(165,plain,
! [SV1: $i,SV22: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SV22 )
| ! [SY96: $i] :
~ ( iext @ uri_rdf_first @ SV22 @ SY96 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV22 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[156]) ).
thf(166,plain,
! [SV1: $i,SV23: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SV23 )
| ! [SY97: $i] :
~ ( iext @ uri_rdf_first @ SV23 @ SY97 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[157]) ).
thf(167,plain,
! [SV1: $i,SV17: $i,SV16: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV2 @ SV16 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV16 @ SV17 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV16 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[158]) ).
thf(168,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY21 @ sK4_SY24 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY24 @ sK5_SY26 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[159]) ).
thf(169,plain,
( ( iext @ uri_rdf_rest @ sK4_SY24 @ uri_rdf_nil )
= $true ),
inference(extcnf_not_neg,[status(thm)],[160]) ).
thf(170,plain,
! [SV1: $i,SV2: $i,SV6: $i,SV8: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( iext @ SV3 @ ( sK8_Y0 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK9_SY28 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) )
| ~ ( iext @ SV8 @ ( sK9_SY28 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ~ ( iext @ SV1 @ ( sK8_Y0 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) ) )
= $false )
| ( ( ~ ( ip @ SV1 )
| ~ ( ip @ SV3 )
| ~ ( ip @ SV8 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(171,plain,
! [SV1: $i,SV13: $i,SV3: $i,SV2: $i,SV10: $i] :
( ( ( iext @ uri_rdf_rest @ SV10 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ! [SY90: $i,SY91: $i,SY92: $i] :
( ~ ( iext @ SV3 @ SY90 @ SY91 )
| ~ ( iext @ SV13 @ SY91 @ SY92 )
| ( iext @ SV1 @ SY90 @ SY92 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(172,plain,
! [SV1: $i,SV22: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SV22 ) )
= $true )
| ( ( ! [SY96: $i] :
~ ( iext @ uri_rdf_first @ SV22 @ SY96 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV22 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[165]) ).
thf(173,plain,
! [SV1: $i,SV23: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SV23 ) )
= $true )
| ( ( ! [SY97: $i] :
~ ( iext @ uri_rdf_first @ SV23 @ SY97 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[166]) ).
thf(174,plain,
! [SV1: $i,SV17: $i,SV16: $i,SV3: $i,SV2: $i] :
( ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV2 @ SV16 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV16 @ SV17 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV16 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[167]) ).
thf(175,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY21 @ sK4_SY24 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY24 @ sK5_SY26 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(176,plain,
! [SV1: $i,SV2: $i,SV6: $i,SV8: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( iext @ SV3 @ ( sK8_Y0 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK9_SY28 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) )
| ~ ( iext @ SV8 @ ( sK9_SY28 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) ) ) )
= $false )
| ( ( ~ ( ip @ SV1 )
| ~ ( ip @ SV3 )
| ~ ( ip @ SV8 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[170]) ).
thf(177,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV8: $i,SV1: $i] :
( ( ( ~ ~ ( iext @ SV1 @ ( sK8_Y0 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) ) )
= $false )
| ( ( ~ ( ip @ SV1 )
| ~ ( ip @ SV3 )
| ~ ( ip @ SV8 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[170]) ).
thf(178,plain,
! [SV10: $i,SV13: $i,SV3: $i,SV2: $i,SV1: $i] :
( ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 ) )
= $true )
| ( ( ! [SY90: $i,SY91: $i,SY92: $i] :
( ~ ( iext @ SV3 @ SY90 @ SY91 )
| ~ ( iext @ SV13 @ SY91 @ SY92 )
| ( iext @ SV1 @ SY90 @ SY92 ) ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[171]) ).
thf(179,plain,
! [SV1: $i,SV22: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV2 @ SV22 ) )
= $true )
| ( ( ! [SY96: $i] :
~ ( iext @ uri_rdf_first @ SV22 @ SY96 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV22 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[172]) ).
thf(180,plain,
! [SV1: $i,SV23: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV2 @ SV23 ) )
= $true )
| ( ( ! [SY97: $i] :
~ ( iext @ uri_rdf_first @ SV23 @ SY97 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[173]) ).
thf(181,plain,
! [SV1: $i,SV17: $i,SV3: $i,SV16: $i,SV2: $i] :
( ( ( iext @ uri_rdf_rest @ SV2 @ SV16 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV16 @ SV17 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV16 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(182,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY21 @ sK4_SY24 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[175]) ).
thf(183,plain,
( ( ~ ( iext @ uri_rdf_first @ sK4_SY24 @ sK5_SY26 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[175]) ).
thf(184,plain,
! [SV1: $i,SV2: $i,SV6: $i,SV8: $i,SV3: $i] :
( ( ( ~ ( ~ ( iext @ SV3 @ ( sK8_Y0 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK9_SY28 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) )
| ~ ( iext @ SV8 @ ( sK9_SY28 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) ) ) )
= $true )
| ( ( ~ ( ip @ SV1 )
| ~ ( ip @ SV3 )
| ~ ( ip @ SV8 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[176]) ).
thf(185,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV8: $i,SV1: $i] :
( ( ( ~ ( iext @ SV1 @ ( sK8_Y0 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) ) )
= $true )
| ( ( ~ ( ip @ SV1 )
| ~ ( ip @ SV3 )
| ~ ( ip @ SV8 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[177]) ).
thf(186,plain,
! [SV10: $i,SV13: $i,SV3: $i,SV2: $i,SV1: $i] :
( ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $false )
| ( ( ! [SY90: $i,SY91: $i,SY92: $i] :
( ~ ( iext @ SV3 @ SY90 @ SY91 )
| ~ ( iext @ SV13 @ SY91 @ SY92 )
| ( iext @ SV1 @ SY90 @ SY92 ) ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[178]) ).
thf(187,plain,
! [SV1: $i,SV22: $i,SV3: $i,SV2: $i] :
( ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV2 @ SV22 ) )
= $true )
| ( ( ! [SY96: $i] :
~ ( iext @ uri_rdf_first @ SV22 @ SY96 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV22 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[179]) ).
thf(188,plain,
! [SV1: $i,SV23: $i,SV3: $i,SV2: $i] :
( ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV2 @ SV23 ) )
= $true )
| ( ( ! [SY97: $i] :
~ ( iext @ uri_rdf_first @ SV23 @ SY97 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(189,plain,
! [SV1: $i,SV3: $i,SV2: $i,SV17: $i,SV16: $i] :
( ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV16 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV16 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(190,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY21 @ sK4_SY24 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[182]) ).
thf(191,plain,
( ( iext @ uri_rdf_first @ sK4_SY24 @ sK5_SY26 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[183]) ).
thf(192,plain,
! [SV1: $i,SV2: $i,SV6: $i,SV8: $i,SV3: $i] :
( ( ( ~ ( iext @ SV3 @ ( sK8_Y0 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK9_SY28 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) )
| ~ ( iext @ SV8 @ ( sK9_SY28 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) ) )
= $false )
| ( ( ~ ( ip @ SV1 )
| ~ ( ip @ SV3 )
| ~ ( ip @ SV8 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(193,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV8: $i,SV1: $i] :
( ( ( iext @ SV1 @ ( sK8_Y0 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) )
= $false )
| ( ( ~ ( ip @ SV1 )
| ~ ( ip @ SV3 )
| ~ ( ip @ SV8 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(194,plain,
! [SV10: $i,SV2: $i,SV1: $i,SV13: $i,SV24: $i,SV3: $i] :
( ( ( ! [SY98: $i,SY99: $i] :
( ~ ( iext @ SV3 @ SV24 @ SY98 )
| ~ ( iext @ SV13 @ SY98 @ SY99 )
| ( iext @ SV1 @ SV24 @ SY99 ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(195,plain,
! [SV1: $i,SV3: $i,SV22: $i,SV2: $i] :
( ( ( iext @ uri_rdf_rest @ SV2 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( ! [SY96: $i] :
~ ( iext @ uri_rdf_first @ SV22 @ SY96 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV22 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(196,plain,
! [SV1: $i,SV3: $i,SV23: $i,SV2: $i] :
( ( ( iext @ uri_rdf_rest @ SV2 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( ! [SY97: $i] :
~ ( iext @ uri_rdf_first @ SV23 @ SY97 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(197,plain,
! [SV1: $i,SV17: $i,SV3: $i,SV2: $i,SV16: $i] :
( ( ( iext @ uri_rdf_rest @ SV16 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV16 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(198,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY21 @ sK4_SY24 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(199,plain,
! [SV1: $i,SV2: $i,SV6: $i,SV8: $i,SV3: $i] :
( ( ( ~ ( iext @ SV3 @ ( sK8_Y0 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK9_SY28 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) ) )
= $false )
| ( ( ~ ( ip @ SV1 )
| ~ ( ip @ SV3 )
| ~ ( ip @ SV8 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[192]) ).
thf(200,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV6: $i,SV8: $i] :
( ( ( ~ ( iext @ SV8 @ ( sK9_SY28 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) ) )
= $false )
| ( ( ~ ( ip @ SV1 )
| ~ ( ip @ SV3 )
| ~ ( ip @ SV8 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[192]) ).
thf(201,plain,
! [SV2: $i,SV6: $i,SV8: $i,SV3: $i,SV1: $i] :
( ( ( ~ ( ip @ SV1 )
| ~ ( ip @ SV3 ) )
= $true )
| ( ( ~ ( ip @ SV8 ) )
= $true )
| ( ( iext @ SV1 @ ( sK8_Y0 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[193]) ).
thf(202,plain,
! [SV10: $i,SV2: $i,SV1: $i,SV13: $i,SV25: $i,SV24: $i,SV3: $i] :
( ( ( ! [SY100: $i] :
( ~ ( iext @ SV3 @ SV24 @ SV25 )
| ~ ( iext @ SV13 @ SV25 @ SY100 )
| ( iext @ SV1 @ SV24 @ SY100 ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(203,plain,
! [SV1: $i,SV3: $i,SV2: $i,SV26: $i,SV22: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV22 @ SV26 ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV22 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV22 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[195]) ).
thf(204,plain,
! [SV1: $i,SV3: $i,SV2: $i,SV27: $i,SV23: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV23 @ SV27 ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV23 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV3 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[196]) ).
thf(205,plain,
! [SV3: $i,SV16: $i,SV17: $i,SV2: $i,SV1: $i] :
( ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 ) )
= $true )
| ( ( ip @ SV17 )
= $true )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV16 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[197]) ).
thf(206,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[198]) ).
thf(207,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK3_SY21 @ sK4_SY24 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[198]) ).
thf(208,plain,
! [SV1: $i,SV2: $i,SV6: $i,SV8: $i,SV3: $i] :
( ( ( iext @ SV3 @ ( sK8_Y0 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK9_SY28 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) )
= $true )
| ( ( ~ ( ip @ SV1 )
| ~ ( ip @ SV3 )
| ~ ( ip @ SV8 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[199]) ).
thf(209,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV6: $i,SV8: $i] :
( ( ( iext @ SV8 @ ( sK9_SY28 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) )
= $true )
| ( ( ~ ( ip @ SV1 )
| ~ ( ip @ SV3 )
| ~ ( ip @ SV8 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[200]) ).
thf(210,plain,
! [SV2: $i,SV6: $i,SV8: $i,SV3: $i,SV1: $i] :
( ( ( ~ ( ip @ SV1 ) )
= $true )
| ( ( ~ ( ip @ SV3 ) )
= $true )
| ( ( ~ ( ip @ SV8 ) )
= $true )
| ( ( iext @ SV1 @ ( sK8_Y0 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[201]) ).
thf(211,plain,
! [SV10: $i,SV2: $i,SV1: $i,SV28: $i,SV13: $i,SV25: $i,SV24: $i,SV3: $i] :
( ( ( ~ ( iext @ SV3 @ SV24 @ SV25 )
| ~ ( iext @ SV13 @ SV25 @ SV28 )
| ( iext @ SV1 @ SV24 @ SV28 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[202]) ).
thf(212,plain,
! [SV1: $i,SV3: $i,SV2: $i,SV26: $i,SV22: $i] :
( ( ( iext @ uri_rdf_first @ SV22 @ SV26 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV22 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV22 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(213,plain,
! [SV1: $i,SV3: $i,SV2: $i,SV27: $i,SV23: $i] :
( ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV23 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(214,plain,
! [SV3: $i,SV16: $i,SV17: $i,SV2: $i,SV1: $i] :
( ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $false )
| ( ( ip @ SV17 )
= $true )
| ( ( iext @ uri_rdf_first @ SV16 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV16 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV16 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(215,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[206]) ).
thf(216,plain,
( ( iext @ uri_rdf_rest @ sK3_SY21 @ sK4_SY24 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[207]) ).
thf(217,plain,
! [SV2: $i,SV6: $i,SV8: $i,SV3: $i,SV1: $i] :
( ( ( ~ ( ip @ SV1 )
| ~ ( ip @ SV3 ) )
= $true )
| ( ( ~ ( ip @ SV8 ) )
= $true )
| ( ( iext @ SV3 @ ( sK8_Y0 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK9_SY28 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[208]) ).
thf(218,plain,
! [SV2: $i,SV6: $i,SV8: $i,SV3: $i,SV1: $i] :
( ( ( ~ ( ip @ SV1 )
| ~ ( ip @ SV3 ) )
= $true )
| ( ( ~ ( ip @ SV8 ) )
= $true )
| ( ( iext @ SV8 @ ( sK9_SY28 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[209]) ).
thf(219,plain,
! [SV2: $i,SV6: $i,SV8: $i,SV3: $i,SV1: $i] :
( ( ( ip @ SV1 )
= $false )
| ( ( ~ ( ip @ SV3 ) )
= $true )
| ( ( ~ ( ip @ SV8 ) )
= $true )
| ( ( iext @ SV1 @ ( sK8_Y0 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[210]) ).
thf(220,plain,
! [SV10: $i,SV2: $i,SV1: $i,SV28: $i,SV13: $i,SV25: $i,SV24: $i,SV3: $i] :
( ( ( ~ ( iext @ SV3 @ SV24 @ SV25 )
| ~ ( iext @ SV13 @ SV25 @ SV28 ) )
= $true )
| ( ( iext @ SV1 @ SV24 @ SV28 )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[211]) ).
thf(221,plain,
! [SV1: $i,SV26: $i,SV3: $i,SV2: $i,SV22: $i] :
( ( ( iext @ uri_rdf_rest @ SV22 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_first @ SV22 @ SV26 )
= $false )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[212]) ).
thf(222,plain,
! [SV1: $i,SV27: $i,SV3: $i,SV2: $i,SV23: $i] :
( ( ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
= $false )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[213]) ).
thf(223,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(224,plain,
! [SV2: $i,SV6: $i,SV8: $i,SV3: $i,SV1: $i] :
( ( ( ~ ( ip @ SV1 ) )
= $true )
| ( ( ~ ( ip @ SV3 ) )
= $true )
| ( ( ~ ( ip @ SV8 ) )
= $true )
| ( ( iext @ SV3 @ ( sK8_Y0 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK9_SY28 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[217]) ).
thf(225,plain,
! [SV2: $i,SV6: $i,SV8: $i,SV3: $i,SV1: $i] :
( ( ( ~ ( ip @ SV1 ) )
= $true )
| ( ( ~ ( ip @ SV3 ) )
= $true )
| ( ( ~ ( ip @ SV8 ) )
= $true )
| ( ( iext @ SV8 @ ( sK9_SY28 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[218]) ).
thf(226,plain,
! [SV2: $i,SV6: $i,SV8: $i,SV1: $i,SV3: $i] :
( ( ( ip @ SV3 )
= $false )
| ( ( ip @ SV1 )
= $false )
| ( ( ~ ( ip @ SV8 ) )
= $true )
| ( ( iext @ SV1 @ ( sK8_Y0 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[219]) ).
thf(227,plain,
! [SV10: $i,SV2: $i,SV1: $i,SV28: $i,SV13: $i,SV25: $i,SV24: $i,SV3: $i] :
( ( ( ~ ( iext @ SV3 @ SV24 @ SV25 ) )
= $true )
| ( ( ~ ( iext @ SV13 @ SV25 @ SV28 ) )
= $true )
| ( ( iext @ SV1 @ SV24 @ SV28 )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[220]) ).
thf(228,plain,
! [SV3: $i,SV26: $i,SV22: $i,SV2: $i,SV1: $i] :
( ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 ) )
= $true )
| ( ( ip @ SV1 )
= $true )
| ( ( iext @ uri_rdf_first @ SV22 @ SV26 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV22 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[221]) ).
thf(229,plain,
! [SV27: $i,SV23: $i,SV3: $i,SV2: $i,SV1: $i] :
( ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 ) )
= $true )
| ( ( ip @ SV3 )
= $true )
| ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[222]) ).
thf(230,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[223]) ).
thf(231,plain,
( ( ~ ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[223]) ).
thf(232,plain,
! [SV2: $i,SV6: $i,SV8: $i,SV3: $i,SV1: $i] :
( ( ( ip @ SV1 )
= $false )
| ( ( ~ ( ip @ SV3 ) )
= $true )
| ( ( ~ ( ip @ SV8 ) )
= $true )
| ( ( iext @ SV3 @ ( sK8_Y0 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK9_SY28 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[224]) ).
thf(233,plain,
! [SV2: $i,SV6: $i,SV8: $i,SV3: $i,SV1: $i] :
( ( ( ip @ SV1 )
= $false )
| ( ( ~ ( ip @ SV3 ) )
= $true )
| ( ( ~ ( ip @ SV8 ) )
= $true )
| ( ( iext @ SV8 @ ( sK9_SY28 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[225]) ).
thf(234,plain,
! [SV2: $i,SV6: $i,SV3: $i,SV1: $i,SV8: $i] :
( ( ( ip @ SV8 )
= $false )
| ( ( ip @ SV1 )
= $false )
| ( ( ip @ SV3 )
= $false )
| ( ( iext @ SV1 @ ( sK8_Y0 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[226]) ).
thf(235,plain,
! [SV10: $i,SV2: $i,SV1: $i,SV28: $i,SV13: $i,SV25: $i,SV24: $i,SV3: $i] :
( ( ( iext @ SV3 @ SV24 @ SV25 )
= $false )
| ( ( ~ ( iext @ SV13 @ SV25 @ SV28 ) )
= $true )
| ( ( iext @ SV1 @ SV24 @ SV28 )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(236,plain,
! [SV3: $i,SV26: $i,SV22: $i,SV2: $i,SV1: $i] :
( ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $false )
| ( ( ip @ SV1 )
= $true )
| ( ( iext @ uri_rdf_first @ SV22 @ SV26 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV22 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[228]) ).
thf(237,plain,
! [SV27: $i,SV23: $i,SV3: $i,SV2: $i,SV1: $i] :
( ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $false )
| ( ( ip @ SV3 )
= $true )
| ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(238,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[230]) ).
thf(239,plain,
( ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle )
= $true ),
inference(extcnf_not_neg,[status(thm)],[231]) ).
thf(240,plain,
! [SV2: $i,SV6: $i,SV8: $i,SV1: $i,SV3: $i] :
( ( ( ip @ SV3 )
= $false )
| ( ( ip @ SV1 )
= $false )
| ( ( ~ ( ip @ SV8 ) )
= $true )
| ( ( iext @ SV3 @ ( sK8_Y0 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK9_SY28 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[232]) ).
thf(241,plain,
! [SV2: $i,SV6: $i,SV8: $i,SV1: $i,SV3: $i] :
( ( ( ip @ SV3 )
= $false )
| ( ( ip @ SV1 )
= $false )
| ( ( ~ ( ip @ SV8 ) )
= $true )
| ( ( iext @ SV8 @ ( sK9_SY28 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[233]) ).
thf(242,plain,
! [SV10: $i,SV2: $i,SV1: $i,SV24: $i,SV3: $i,SV28: $i,SV25: $i,SV13: $i] :
( ( ( iext @ SV13 @ SV25 @ SV28 )
= $false )
| ( ( iext @ SV3 @ SV24 @ SV25 )
= $false )
| ( ( iext @ SV1 @ SV24 @ SV28 )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[235]) ).
thf(243,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(244,plain,
! [SV2: $i,SV6: $i,SV3: $i,SV1: $i,SV8: $i] :
( ( ( ip @ SV8 )
= $false )
| ( ( ip @ SV1 )
= $false )
| ( ( ip @ SV3 )
= $false )
| ( ( iext @ SV3 @ ( sK8_Y0 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK9_SY28 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(245,plain,
! [SV2: $i,SV6: $i,SV3: $i,SV1: $i,SV8: $i] :
( ( ( ip @ SV8 )
= $false )
| ( ( ip @ SV1 )
= $false )
| ( ( ip @ SV3 )
= $false )
| ( ( iext @ SV8 @ ( sK9_SY28 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV8 @ SV6 @ SV3 @ SV2 @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV6 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(246,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[243]) ).
thf(247,plain,
( ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[243]) ).
thf(248,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[246]) ).
thf(249,plain,
( ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[247]) ).
thf(250,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[248]) ).
thf(251,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[250]) ).
thf(252,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[250]) ).
thf(253,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[251]) ).
thf(254,plain,
( ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil )
= $true ),
inference(extcnf_not_neg,[status(thm)],[252]) ).
thf(255,plain,
( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[253]) ).
thf(256,plain,
( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[255]) ).
thf(257,plain,
( ( ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[255]) ).
thf(258,plain,
( ( ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[256]) ).
thf(259,plain,
( ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather )
= $true ),
inference(extcnf_not_neg,[status(thm)],[257]) ).
thf(260,plain,
( ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[258]) ).
thf(261,plain,
( ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[260]) ).
thf(262,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[260]) ).
thf(263,plain,
( ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[261]) ).
thf(264,plain,
( ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[262]) ).
thf(265,plain,
( ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(266,plain,
( ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[265]) ).
thf(267,plain,
( ( ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[265]) ).
thf(268,plain,
( ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[266]) ).
thf(269,plain,
( ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin )
= $true ),
inference(extcnf_not_neg,[status(thm)],[267]) ).
thf(270,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[24,269,268,264,259,254,249,245,244,242,239,237,236,234,216,214,191,169,162,161,151,141,132,123,122,106,75,52,35]) ).
thf(271,plain,
( ( ! [P: $i,S1: $i,P1: $i] :
( ! [S2: $i,P2: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ P1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ S2 )
| ~ ( iext @ uri_rdf_first @ S2 @ P2 )
| ~ ( iext @ uri_rdf_rest @ S2 @ uri_rdf_nil )
| ( ( iext @ P1 @ ( sK8_Y0 @ P2 @ S2 @ P1 @ S1 @ P ) @ ( sK9_SY28 @ P2 @ S2 @ P1 @ S1 @ P ) )
& ( iext @ P2 @ ( sK9_SY28 @ P2 @ S2 @ P1 @ S1 @ P ) @ ( sK10_SY30 @ P2 @ S2 @ P1 @ S1 @ P ) )
& ~ ( iext @ P @ ( sK8_Y0 @ P2 @ S2 @ P1 @ S1 @ P ) @ ( sK10_SY30 @ P2 @ S2 @ P1 @ S1 @ P ) ) )
| ~ ( ip @ P )
| ~ ( ip @ P1 )
| ~ ( ip @ P2 )
| ( iext @ uri_owl_propertyChainAxiom @ P @ S1 ) )
& ! [S2: $i,P2: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ P1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ S2 )
| ~ ( iext @ uri_rdf_first @ S2 @ P2 )
| ~ ( iext @ uri_rdf_rest @ S2 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ P @ S1 )
| ! [Y0: $i,Y1: $i,Y2: $i] :
( ~ ( iext @ P1 @ Y0 @ Y1 )
| ~ ( iext @ P2 @ Y1 @ Y2 )
| ( iext @ P @ Y0 @ Y2 ) ) )
& ( ! [S2: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ P1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ S2 )
| ! [P2: $i] :
~ ( iext @ uri_rdf_first @ S2 @ P2 )
| ~ ( iext @ uri_rdf_rest @ S2 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ P @ S1 )
| ( ip @ P ) )
& ( ! [S2: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ P1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ S2 )
| ! [P2: $i] :
~ ( iext @ uri_rdf_first @ S2 @ P2 )
| ~ ( iext @ uri_rdf_rest @ S2 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ P @ S1 )
| ( ip @ P1 ) )
& ! [S2: $i,P2: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ P1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ S2 )
| ~ ( iext @ uri_rdf_first @ S2 @ P2 )
| ~ ( iext @ uri_rdf_rest @ S2 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ P @ S1 )
| ( ip @ P2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(272,plain,
( ( ! [P1: $i,P2: $i] :
( ( ( ~ ( iext @ P1 @ ( sK6_X @ P2 @ P1 ) @ ( sK7_SY27 @ P2 @ P1 ) )
| ~ ( iext @ P2 @ ( sK7_SY27 @ P2 @ P1 ) @ ( sK6_X @ P2 @ P1 ) ) )
& ( ( iext @ P1 @ ( sK6_X @ P2 @ P1 ) @ ( sK7_SY27 @ P2 @ P1 ) )
| ( iext @ P2 @ ( sK7_SY27 @ P2 @ P1 ) @ ( sK6_X @ P2 @ P1 ) ) ) )
| ~ ( ip @ P1 )
| ~ ( ip @ P2 )
| ( iext @ uri_owl_inverseOf @ P1 @ P2 ) )
& ! [P1: $i,P2: $i] :
( ~ ( iext @ uri_owl_inverseOf @ P1 @ P2 )
| ( ! [X: $i,Y: $i] :
( ~ ( iext @ P1 @ X @ Y )
| ( iext @ P2 @ Y @ X ) )
& ! [X: $i,Y: $i] :
( ~ ( iext @ P2 @ Y @ X )
| ( iext @ P1 @ X @ Y ) ) ) )
& ! [P1: $i] :
( ! [P2: $i] :
~ ( iext @ uri_owl_inverseOf @ P1 @ P2 )
| ( ip @ P1 ) )
& ! [P1: $i,P2: $i] :
( ~ ( iext @ uri_owl_inverseOf @ P1 @ P2 )
| ( ip @ P2 ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(273,plain,
( ( ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
& ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin )
& ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 )
& ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather )
& ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil )
& ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 )
& ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle )
& ( iext @ uri_rdf_rest @ sK3_SY21 @ sK4_SY24 )
& ( iext @ uri_rdf_first @ sK4_SY24 @ sK5_SY26 )
& ( iext @ uri_rdf_rest @ sK4_SY24 @ uri_rdf_nil )
& ( iext @ uri_owl_inverseOf @ sK5_SY26 @ uri_ex_hasFather )
& ( iext @ uri_ex_hasFather @ uri_ex_alice @ uri_ex_dave )
& ( iext @ uri_ex_hasCousin @ uri_ex_alice @ uri_ex_bob )
& ( iext @ uri_ex_hasFather @ uri_ex_bob @ uri_ex_charly )
& ( iext @ uri_ex_hasUncle @ uri_ex_bob @ uri_ex_dave ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(274,plain,
( ( ~ ( iext @ uri_ex_hasCousin @ uri_ex_bob @ uri_ex_alice ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(275,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 @ SX2 @ ( sK8_Y0 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( sK9_SY28 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ~ ( iext @ SX4 @ ( sK9_SY28 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( sK10_SY30 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ~ ( iext @ SX0 @ ( sK8_Y0 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( sK10_SY30 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ip @ SX0 )
| ~ ( ip @ SX2 )
| ~ ( ip @ SX4 )
| ( iext @ uri_owl_propertyChainAxiom @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX3: $i,SX4: $i] :
( ~ ( iext @ uri_rdf_first @ SX1 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SX1 @ SX3 )
| ~ ( iext @ uri_rdf_first @ SX3 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SX3 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SX0 @ SX1 )
| ! [SX5: $i,SX6: $i,SX7: $i] :
( ~ ( iext @ SX2 @ SX5 @ SX6 )
| ~ ( iext @ SX4 @ SX6 @ SX7 )
| ( iext @ SX0 @ SX5 @ SX7 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX3: $i] :
( ~ ( iext @ uri_rdf_first @ SX1 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SX1 @ SX3 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SX3 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SX3 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SX0 @ SX1 )
| ( ip @ SX0 ) )
| ~ ( ! [SX3: $i] :
( ~ ( iext @ uri_rdf_first @ SX1 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SX1 @ SX3 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SX3 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SX3 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SX0 @ SX1 )
| ( ip @ SX2 ) ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( iext @ uri_rdf_first @ SX1 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SX1 @ SX3 )
| ~ ( iext @ uri_rdf_first @ SX3 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SX3 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SX0 @ SX1 )
| ( ip @ SX4 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[271]) ).
thf(276,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY21 @ sK4_SY24 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY24 @ sK5_SY26 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY24 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_inverseOf @ sK5_SY26 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_ex_hasFather @ uri_ex_alice @ uri_ex_dave ) )
| ~ ( iext @ uri_ex_hasCousin @ uri_ex_alice @ uri_ex_bob ) )
| ~ ( iext @ uri_ex_hasFather @ uri_ex_bob @ uri_ex_charly ) )
| ~ ( iext @ uri_ex_hasUncle @ uri_ex_bob @ uri_ex_dave ) ) )
= $true ),
inference(unfold_def,[status(thm)],[273]) ).
thf(277,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( iext @ SX0 @ ( sK6_X @ SX1 @ SX0 ) @ ( sK7_SY27 @ SX1 @ SX0 ) )
| ~ ( iext @ SX1 @ ( sK7_SY27 @ SX1 @ SX0 ) @ ( sK6_X @ SX1 @ SX0 ) ) )
| ~ ( ( iext @ SX0 @ ( sK6_X @ SX1 @ SX0 ) @ ( sK7_SY27 @ SX1 @ SX0 ) )
| ( iext @ SX1 @ ( sK7_SY27 @ SX1 @ SX0 ) @ ( sK6_X @ SX1 @ SX0 ) ) ) )
| ~ ( ip @ SX0 )
| ~ ( ip @ SX1 )
| ( iext @ uri_owl_inverseOf @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i,SX3: $i] :
( ~ ( iext @ SX0 @ SX2 @ SX3 )
| ( iext @ SX1 @ SX3 @ SX2 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( iext @ SX1 @ SX3 @ SX2 )
| ( iext @ SX0 @ SX2 @ SX3 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ( ip @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ( ip @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[272]) ).
thf(278,plain,
( ( iext @ uri_ex_hasCousin @ uri_ex_bob @ uri_ex_alice )
= $false ),
inference(extcnf_not_pos,[status(thm)],[274]) ).
thf(279,plain,
! [SV29: $i] :
( ( ! [SY101: $i,SY102: $i] :
~ ( ~ ! [SY103: $i,SY104: $i] :
( ~ ( iext @ uri_rdf_first @ SY101 @ SY102 )
| ~ ( iext @ uri_rdf_rest @ SY101 @ SY103 )
| ~ ( iext @ uri_rdf_first @ SY103 @ SY104 )
| ~ ( iext @ uri_rdf_rest @ SY103 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( iext @ SY102 @ ( sK8_Y0 @ SY104 @ SY103 @ SY102 @ SY101 @ SV29 ) @ ( sK9_SY28 @ SY104 @ SY103 @ SY102 @ SY101 @ SV29 ) )
| ~ ( iext @ SY104 @ ( sK9_SY28 @ SY104 @ SY103 @ SY102 @ SY101 @ SV29 ) @ ( sK10_SY30 @ SY104 @ SY103 @ SY102 @ SY101 @ SV29 ) ) )
| ~ ~ ( iext @ SV29 @ ( sK8_Y0 @ SY104 @ SY103 @ SY102 @ SY101 @ SV29 ) @ ( sK10_SY30 @ SY104 @ SY103 @ SY102 @ SY101 @ SV29 ) ) )
| ~ ( ip @ SV29 )
| ~ ( ip @ SY102 )
| ~ ( ip @ SY104 )
| ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SY101 ) )
| ~ ~ ( ~ ! [SY105: $i,SY106: $i] :
( ~ ( iext @ uri_rdf_first @ SY101 @ SY102 )
| ~ ( iext @ uri_rdf_rest @ SY101 @ SY105 )
| ~ ( iext @ uri_rdf_first @ SY105 @ SY106 )
| ~ ( iext @ uri_rdf_rest @ SY105 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SY101 )
| ! [SY107: $i,SY108: $i,SY109: $i] :
( ~ ( iext @ SY102 @ SY107 @ SY108 )
| ~ ( iext @ SY106 @ SY108 @ SY109 )
| ( iext @ SV29 @ SY107 @ SY109 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX3: $i] :
( ~ ( iext @ uri_rdf_first @ SY101 @ SY102 )
| ~ ( iext @ uri_rdf_rest @ SY101 @ SX3 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SX3 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SX3 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SY101 )
| ( ip @ SV29 ) )
| ~ ( ! [SX3: $i] :
( ~ ( iext @ uri_rdf_first @ SY101 @ SY102 )
| ~ ( iext @ uri_rdf_rest @ SY101 @ SX3 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SX3 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SX3 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SY101 )
| ( ip @ SY102 ) ) )
| ~ ! [SY114: $i,SY115: $i] :
( ~ ( iext @ uri_rdf_first @ SY101 @ SY102 )
| ~ ( iext @ uri_rdf_rest @ SY101 @ SY114 )
| ~ ( iext @ uri_rdf_first @ SY114 @ SY115 )
| ~ ( iext @ uri_rdf_rest @ SY114 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SY101 )
| ( ip @ SY115 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[275]) ).
thf(280,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY21 @ sK4_SY24 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY24 @ sK5_SY26 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY24 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_inverseOf @ sK5_SY26 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_ex_hasFather @ uri_ex_alice @ uri_ex_dave ) )
| ~ ( iext @ uri_ex_hasCousin @ uri_ex_alice @ uri_ex_bob ) )
| ~ ( iext @ uri_ex_hasFather @ uri_ex_bob @ uri_ex_charly ) )
| ~ ( iext @ uri_ex_hasUncle @ uri_ex_bob @ uri_ex_dave ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[276]) ).
thf(281,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( iext @ SX0 @ ( sK6_X @ SX1 @ SX0 ) @ ( sK7_SY27 @ SX1 @ SX0 ) )
| ~ ( iext @ SX1 @ ( sK7_SY27 @ SX1 @ SX0 ) @ ( sK6_X @ SX1 @ SX0 ) ) )
| ~ ( ( iext @ SX0 @ ( sK6_X @ SX1 @ SX0 ) @ ( sK7_SY27 @ SX1 @ SX0 ) )
| ( iext @ SX1 @ ( sK7_SY27 @ SX1 @ SX0 ) @ ( sK6_X @ SX1 @ SX0 ) ) ) )
| ~ ( ip @ SX0 )
| ~ ( ip @ SX1 )
| ( iext @ uri_owl_inverseOf @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i,SX3: $i] :
( ~ ( iext @ SX0 @ SX2 @ SX3 )
| ( iext @ SX1 @ SX3 @ SX2 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( iext @ SX1 @ SX3 @ SX2 )
| ( iext @ SX0 @ SX2 @ SX3 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ( ip @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ( ip @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[277]) ).
thf(282,plain,
! [SV29: $i,SV30: $i] :
( ( ! [SY116: $i] :
~ ( ~ ! [SY117: $i,SY118: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SY116 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SY117 )
| ~ ( iext @ uri_rdf_first @ SY117 @ SY118 )
| ~ ( iext @ uri_rdf_rest @ SY117 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( iext @ SY116 @ ( sK8_Y0 @ SY118 @ SY117 @ SY116 @ SV30 @ SV29 ) @ ( sK9_SY28 @ SY118 @ SY117 @ SY116 @ SV30 @ SV29 ) )
| ~ ( iext @ SY118 @ ( sK9_SY28 @ SY118 @ SY117 @ SY116 @ SV30 @ SV29 ) @ ( sK10_SY30 @ SY118 @ SY117 @ SY116 @ SV30 @ SV29 ) ) )
| ~ ~ ( iext @ SV29 @ ( sK8_Y0 @ SY118 @ SY117 @ SY116 @ SV30 @ SV29 ) @ ( sK10_SY30 @ SY118 @ SY117 @ SY116 @ SV30 @ SV29 ) ) )
| ~ ( ip @ SV29 )
| ~ ( ip @ SY116 )
| ~ ( ip @ SY118 )
| ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 ) )
| ~ ~ ( ~ ! [SY119: $i,SY120: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SY116 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SY119 )
| ~ ( iext @ uri_rdf_first @ SY119 @ SY120 )
| ~ ( iext @ uri_rdf_rest @ SY119 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ! [SY107: $i,SY108: $i,SY109: $i] :
( ~ ( iext @ SY116 @ SY107 @ SY108 )
| ~ ( iext @ SY120 @ SY108 @ SY109 )
| ( iext @ SV29 @ SY107 @ SY109 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SY124: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SY116 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SY124 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY124 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY124 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV29 ) )
| ~ ( ! [SY126: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SY116 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SY126 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY126 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY126 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SY116 ) ) )
| ~ ! [SY128: $i,SY129: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SY116 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SY128 )
| ~ ( iext @ uri_rdf_first @ SY128 @ SY129 )
| ~ ( iext @ uri_rdf_rest @ SY128 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SY129 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[279]) ).
thf(283,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY21 @ sK4_SY24 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY24 @ sK5_SY26 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY24 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_inverseOf @ sK5_SY26 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_ex_hasFather @ uri_ex_alice @ uri_ex_dave ) )
| ~ ( iext @ uri_ex_hasCousin @ uri_ex_alice @ uri_ex_bob ) )
| ~ ( iext @ uri_ex_hasFather @ uri_ex_bob @ uri_ex_charly ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[280]) ).
thf(284,plain,
( ( ~ ( iext @ uri_ex_hasUncle @ uri_ex_bob @ uri_ex_dave ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[280]) ).
thf(285,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( iext @ SX0 @ ( sK6_X @ SX1 @ SX0 ) @ ( sK7_SY27 @ SX1 @ SX0 ) )
| ~ ( iext @ SX1 @ ( sK7_SY27 @ SX1 @ SX0 ) @ ( sK6_X @ SX1 @ SX0 ) ) )
| ~ ( ( iext @ SX0 @ ( sK6_X @ SX1 @ SX0 ) @ ( sK7_SY27 @ SX1 @ SX0 ) )
| ( iext @ SX1 @ ( sK7_SY27 @ SX1 @ SX0 ) @ ( sK6_X @ SX1 @ SX0 ) ) ) )
| ~ ( ip @ SX0 )
| ~ ( ip @ SX1 )
| ( iext @ uri_owl_inverseOf @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[281]) ).
thf(286,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i,SX3: $i] :
( ~ ( iext @ SX0 @ SX2 @ SX3 )
| ( iext @ SX1 @ SX3 @ SX2 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( iext @ SX1 @ SX3 @ SX2 )
| ( iext @ SX0 @ SX2 @ SX3 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ( ip @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ( ip @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[281]) ).
thf(287,plain,
! [SV29: $i,SV31: $i,SV30: $i] :
( ( ~ ( ~ ! [SY130: $i,SY131: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SY130 )
| ~ ( iext @ uri_rdf_first @ SY130 @ SY131 )
| ~ ( iext @ uri_rdf_rest @ SY130 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( iext @ SV31 @ ( sK8_Y0 @ SY131 @ SY130 @ SV31 @ SV30 @ SV29 ) @ ( sK9_SY28 @ SY131 @ SY130 @ SV31 @ SV30 @ SV29 ) )
| ~ ( iext @ SY131 @ ( sK9_SY28 @ SY131 @ SY130 @ SV31 @ SV30 @ SV29 ) @ ( sK10_SY30 @ SY131 @ SY130 @ SV31 @ SV30 @ SV29 ) ) )
| ~ ~ ( iext @ SV29 @ ( sK8_Y0 @ SY131 @ SY130 @ SV31 @ SV30 @ SV29 ) @ ( sK10_SY30 @ SY131 @ SY130 @ SV31 @ SV30 @ SV29 ) ) )
| ~ ( ip @ SV29 )
| ~ ( ip @ SV31 )
| ~ ( ip @ SY131 )
| ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 ) )
| ~ ~ ( ~ ! [SY132: $i,SY133: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SY132 )
| ~ ( iext @ uri_rdf_first @ SY132 @ SY133 )
| ~ ( iext @ uri_rdf_rest @ SY132 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ! [SY134: $i,SY135: $i,SY136: $i] :
( ~ ( iext @ SV31 @ SY134 @ SY135 )
| ~ ( iext @ SY133 @ SY135 @ SY136 )
| ( iext @ SV29 @ SY134 @ SY136 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SY137: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SY137 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY137 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY137 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV29 ) )
| ~ ( ! [SY139: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SY139 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY139 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY139 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV31 ) ) )
| ~ ! [SY141: $i,SY142: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SY141 )
| ~ ( iext @ uri_rdf_first @ SY141 @ SY142 )
| ~ ( iext @ uri_rdf_rest @ SY141 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SY142 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[282]) ).
thf(288,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY21 @ sK4_SY24 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY24 @ sK5_SY26 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY24 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_inverseOf @ sK5_SY26 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_ex_hasFather @ uri_ex_alice @ uri_ex_dave ) )
| ~ ( iext @ uri_ex_hasCousin @ uri_ex_alice @ uri_ex_bob ) )
| ~ ( iext @ uri_ex_hasFather @ uri_ex_bob @ uri_ex_charly ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[283]) ).
thf(289,plain,
( ( iext @ uri_ex_hasUncle @ uri_ex_bob @ uri_ex_dave )
= $true ),
inference(extcnf_not_neg,[status(thm)],[284]) ).
thf(290,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( iext @ SX0 @ ( sK6_X @ SX1 @ SX0 ) @ ( sK7_SY27 @ SX1 @ SX0 ) )
| ~ ( iext @ SX1 @ ( sK7_SY27 @ SX1 @ SX0 ) @ ( sK6_X @ SX1 @ SX0 ) ) )
| ~ ( ( iext @ SX0 @ ( sK6_X @ SX1 @ SX0 ) @ ( sK7_SY27 @ SX1 @ SX0 ) )
| ( iext @ SX1 @ ( sK7_SY27 @ SX1 @ SX0 ) @ ( sK6_X @ SX1 @ SX0 ) ) ) )
| ~ ( ip @ SX0 )
| ~ ( ip @ SX1 )
| ( iext @ uri_owl_inverseOf @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[285]) ).
thf(291,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i,SX3: $i] :
( ~ ( iext @ SX0 @ SX2 @ SX3 )
| ( iext @ SX1 @ SX3 @ SX2 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( iext @ SX1 @ SX3 @ SX2 )
| ( iext @ SX0 @ SX2 @ SX3 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ( ip @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ( ip @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[286]) ).
thf(292,plain,
! [SV29: $i,SV31: $i,SV30: $i] :
( ( ~ ! [SY130: $i,SY131: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SY130 )
| ~ ( iext @ uri_rdf_first @ SY130 @ SY131 )
| ~ ( iext @ uri_rdf_rest @ SY130 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( iext @ SV31 @ ( sK8_Y0 @ SY131 @ SY130 @ SV31 @ SV30 @ SV29 ) @ ( sK9_SY28 @ SY131 @ SY130 @ SV31 @ SV30 @ SV29 ) )
| ~ ( iext @ SY131 @ ( sK9_SY28 @ SY131 @ SY130 @ SV31 @ SV30 @ SV29 ) @ ( sK10_SY30 @ SY131 @ SY130 @ SV31 @ SV30 @ SV29 ) ) )
| ~ ~ ( iext @ SV29 @ ( sK8_Y0 @ SY131 @ SY130 @ SV31 @ SV30 @ SV29 ) @ ( sK10_SY30 @ SY131 @ SY130 @ SV31 @ SV30 @ SV29 ) ) )
| ~ ( ip @ SV29 )
| ~ ( ip @ SV31 )
| ~ ( ip @ SY131 )
| ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 ) )
| ~ ~ ( ~ ! [SY132: $i,SY133: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SY132 )
| ~ ( iext @ uri_rdf_first @ SY132 @ SY133 )
| ~ ( iext @ uri_rdf_rest @ SY132 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ! [SY134: $i,SY135: $i,SY136: $i] :
( ~ ( iext @ SV31 @ SY134 @ SY135 )
| ~ ( iext @ SY133 @ SY135 @ SY136 )
| ( iext @ SV29 @ SY134 @ SY136 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SY137: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SY137 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY137 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY137 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV29 ) )
| ~ ( ! [SY139: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SY139 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY139 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY139 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV31 ) ) )
| ~ ! [SY141: $i,SY142: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SY141 )
| ~ ( iext @ uri_rdf_first @ SY141 @ SY142 )
| ~ ( iext @ uri_rdf_rest @ SY141 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SY142 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[287]) ).
thf(293,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY21 @ sK4_SY24 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY24 @ sK5_SY26 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY24 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_inverseOf @ sK5_SY26 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_ex_hasFather @ uri_ex_alice @ uri_ex_dave ) )
| ~ ( iext @ uri_ex_hasCousin @ uri_ex_alice @ uri_ex_bob ) )
| ~ ( iext @ uri_ex_hasFather @ uri_ex_bob @ uri_ex_charly ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[288]) ).
thf(294,plain,
! [SV32: $i] :
( ( ! [SY143: $i] :
( ~ ( ~ ( ~ ( iext @ SV32 @ ( sK6_X @ SY143 @ SV32 ) @ ( sK7_SY27 @ SY143 @ SV32 ) )
| ~ ( iext @ SY143 @ ( sK7_SY27 @ SY143 @ SV32 ) @ ( sK6_X @ SY143 @ SV32 ) ) )
| ~ ( ( iext @ SV32 @ ( sK6_X @ SY143 @ SV32 ) @ ( sK7_SY27 @ SY143 @ SV32 ) )
| ( iext @ SY143 @ ( sK7_SY27 @ SY143 @ SV32 ) @ ( sK6_X @ SY143 @ SV32 ) ) ) )
| ~ ( ip @ SV32 )
| ~ ( ip @ SY143 )
| ( iext @ uri_owl_inverseOf @ SV32 @ SY143 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[290]) ).
thf(295,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i,SX3: $i] :
( ~ ( iext @ SX0 @ SX2 @ SX3 )
| ( iext @ SX1 @ SX3 @ SX2 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( iext @ SX1 @ SX3 @ SX2 )
| ( iext @ SX0 @ SX2 @ SX3 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ( ip @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ( ip @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(296,plain,
! [SV29: $i,SV31: $i,SV30: $i] :
( ( ~ ! [SY130: $i,SY131: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SY130 )
| ~ ( iext @ uri_rdf_first @ SY130 @ SY131 )
| ~ ( iext @ uri_rdf_rest @ SY130 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( iext @ SV31 @ ( sK8_Y0 @ SY131 @ SY130 @ SV31 @ SV30 @ SV29 ) @ ( sK9_SY28 @ SY131 @ SY130 @ SV31 @ SV30 @ SV29 ) )
| ~ ( iext @ SY131 @ ( sK9_SY28 @ SY131 @ SY130 @ SV31 @ SV30 @ SV29 ) @ ( sK10_SY30 @ SY131 @ SY130 @ SV31 @ SV30 @ SV29 ) ) )
| ~ ~ ( iext @ SV29 @ ( sK8_Y0 @ SY131 @ SY130 @ SV31 @ SV30 @ SV29 ) @ ( sK10_SY30 @ SY131 @ SY130 @ SV31 @ SV30 @ SV29 ) ) )
| ~ ( ip @ SV29 )
| ~ ( ip @ SV31 )
| ~ ( ip @ SY131 )
| ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[292]) ).
thf(297,plain,
! [SV29: $i,SV31: $i,SV30: $i] :
( ( ~ ~ ( ~ ! [SY132: $i,SY133: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SY132 )
| ~ ( iext @ uri_rdf_first @ SY132 @ SY133 )
| ~ ( iext @ uri_rdf_rest @ SY132 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ! [SY134: $i,SY135: $i,SY136: $i] :
( ~ ( iext @ SV31 @ SY134 @ SY135 )
| ~ ( iext @ SY133 @ SY135 @ SY136 )
| ( iext @ SV29 @ SY134 @ SY136 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SY137: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SY137 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY137 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY137 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV29 ) )
| ~ ( ! [SY139: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SY139 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY139 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY139 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV31 ) ) )
| ~ ! [SY141: $i,SY142: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SY141 )
| ~ ( iext @ uri_rdf_first @ SY141 @ SY142 )
| ~ ( iext @ uri_rdf_rest @ SY141 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SY142 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[292]) ).
thf(298,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY21 @ sK4_SY24 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY24 @ sK5_SY26 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY24 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_inverseOf @ sK5_SY26 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_ex_hasFather @ uri_ex_alice @ uri_ex_dave ) )
| ~ ( iext @ uri_ex_hasCousin @ uri_ex_alice @ uri_ex_bob ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[293]) ).
thf(299,plain,
( ( ~ ( iext @ uri_ex_hasFather @ uri_ex_bob @ uri_ex_charly ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[293]) ).
thf(300,plain,
! [SV33: $i,SV32: $i] :
( ( ~ ( ~ ( ~ ( iext @ SV32 @ ( sK6_X @ SV33 @ SV32 ) @ ( sK7_SY27 @ SV33 @ SV32 ) )
| ~ ( iext @ SV33 @ ( sK7_SY27 @ SV33 @ SV32 ) @ ( sK6_X @ SV33 @ SV32 ) ) )
| ~ ( ( iext @ SV32 @ ( sK6_X @ SV33 @ SV32 ) @ ( sK7_SY27 @ SV33 @ SV32 ) )
| ( iext @ SV33 @ ( sK7_SY27 @ SV33 @ SV32 ) @ ( sK6_X @ SV33 @ SV32 ) ) ) )
| ~ ( ip @ SV32 )
| ~ ( ip @ SV33 )
| ( iext @ uri_owl_inverseOf @ SV32 @ SV33 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[294]) ).
thf(301,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i,SX3: $i] :
( ~ ( iext @ SX0 @ SX2 @ SX3 )
| ( iext @ SX1 @ SX3 @ SX2 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( iext @ SX1 @ SX3 @ SX2 )
| ( iext @ SX0 @ SX2 @ SX3 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[295]) ).
thf(302,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ( ip @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ( ip @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[295]) ).
thf(303,plain,
! [SV29: $i,SV31: $i,SV30: $i] :
( ( ! [SY130: $i,SY131: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SY130 )
| ~ ( iext @ uri_rdf_first @ SY130 @ SY131 )
| ~ ( iext @ uri_rdf_rest @ SY130 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( iext @ SV31 @ ( sK8_Y0 @ SY131 @ SY130 @ SV31 @ SV30 @ SV29 ) @ ( sK9_SY28 @ SY131 @ SY130 @ SV31 @ SV30 @ SV29 ) )
| ~ ( iext @ SY131 @ ( sK9_SY28 @ SY131 @ SY130 @ SV31 @ SV30 @ SV29 ) @ ( sK10_SY30 @ SY131 @ SY130 @ SV31 @ SV30 @ SV29 ) ) )
| ~ ~ ( iext @ SV29 @ ( sK8_Y0 @ SY131 @ SY130 @ SV31 @ SV30 @ SV29 ) @ ( sK10_SY30 @ SY131 @ SY130 @ SV31 @ SV30 @ SV29 ) ) )
| ~ ( ip @ SV29 )
| ~ ( ip @ SV31 )
| ~ ( ip @ SY131 )
| ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[296]) ).
thf(304,plain,
! [SV29: $i,SV31: $i,SV30: $i] :
( ( ~ ( ~ ! [SY132: $i,SY133: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SY132 )
| ~ ( iext @ uri_rdf_first @ SY132 @ SY133 )
| ~ ( iext @ uri_rdf_rest @ SY132 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ! [SY134: $i,SY135: $i,SY136: $i] :
( ~ ( iext @ SV31 @ SY134 @ SY135 )
| ~ ( iext @ SY133 @ SY135 @ SY136 )
| ( iext @ SV29 @ SY134 @ SY136 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SY137: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SY137 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY137 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY137 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV29 ) )
| ~ ( ! [SY139: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SY139 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY139 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY139 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV31 ) ) )
| ~ ! [SY141: $i,SY142: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SY141 )
| ~ ( iext @ uri_rdf_first @ SY141 @ SY142 )
| ~ ( iext @ uri_rdf_rest @ SY141 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SY142 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[297]) ).
thf(305,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY21 @ sK4_SY24 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY24 @ sK5_SY26 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY24 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_inverseOf @ sK5_SY26 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_ex_hasFather @ uri_ex_alice @ uri_ex_dave ) )
| ~ ( iext @ uri_ex_hasCousin @ uri_ex_alice @ uri_ex_bob ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[298]) ).
thf(306,plain,
( ( iext @ uri_ex_hasFather @ uri_ex_bob @ uri_ex_charly )
= $true ),
inference(extcnf_not_neg,[status(thm)],[299]) ).
thf(307,plain,
! [SV33: $i,SV32: $i] :
( ( ( ~ ( ~ ( ~ ( iext @ SV32 @ ( sK6_X @ SV33 @ SV32 ) @ ( sK7_SY27 @ SV33 @ SV32 ) )
| ~ ( iext @ SV33 @ ( sK7_SY27 @ SV33 @ SV32 ) @ ( sK6_X @ SV33 @ SV32 ) ) )
| ~ ( ( iext @ SV32 @ ( sK6_X @ SV33 @ SV32 ) @ ( sK7_SY27 @ SV33 @ SV32 ) )
| ( iext @ SV33 @ ( sK7_SY27 @ SV33 @ SV32 ) @ ( sK6_X @ SV33 @ SV32 ) ) ) )
| ~ ( ip @ SV32 )
| ~ ( ip @ SV33 ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV32 @ SV33 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[300]) ).
thf(308,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i,SX3: $i] :
( ~ ( iext @ SX0 @ SX2 @ SX3 )
| ( iext @ SX1 @ SX3 @ SX2 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( iext @ SX1 @ SX3 @ SX2 )
| ( iext @ SX0 @ SX2 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[301]) ).
thf(309,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ( ip @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ( ip @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[302]) ).
thf(310,plain,
! [SV29: $i,SV34: $i,SV31: $i,SV30: $i] :
( ( ! [SY144: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SV34 )
| ~ ( iext @ uri_rdf_first @ SV34 @ SY144 )
| ~ ( iext @ uri_rdf_rest @ SV34 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( iext @ SV31 @ ( sK8_Y0 @ SY144 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK9_SY28 @ SY144 @ SV34 @ SV31 @ SV30 @ SV29 ) )
| ~ ( iext @ SY144 @ ( sK9_SY28 @ SY144 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK10_SY30 @ SY144 @ SV34 @ SV31 @ SV30 @ SV29 ) ) )
| ~ ~ ( iext @ SV29 @ ( sK8_Y0 @ SY144 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK10_SY30 @ SY144 @ SV34 @ SV31 @ SV30 @ SV29 ) ) )
| ~ ( ip @ SV29 )
| ~ ( ip @ SV31 )
| ~ ( ip @ SY144 )
| ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[303]) ).
thf(311,plain,
! [SV29: $i,SV31: $i,SV30: $i] :
( ( ~ ! [SY132: $i,SY133: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SY132 )
| ~ ( iext @ uri_rdf_first @ SY132 @ SY133 )
| ~ ( iext @ uri_rdf_rest @ SY132 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ! [SY134: $i,SY135: $i,SY136: $i] :
( ~ ( iext @ SV31 @ SY134 @ SY135 )
| ~ ( iext @ SY133 @ SY135 @ SY136 )
| ( iext @ SV29 @ SY134 @ SY136 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SY137: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SY137 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY137 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY137 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV29 ) )
| ~ ( ! [SY139: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SY139 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY139 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY139 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV31 ) ) )
| ~ ! [SY141: $i,SY142: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SY141 )
| ~ ( iext @ uri_rdf_first @ SY141 @ SY142 )
| ~ ( iext @ uri_rdf_rest @ SY141 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SY142 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(312,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY21 @ sK4_SY24 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY24 @ sK5_SY26 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY24 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_inverseOf @ sK5_SY26 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_ex_hasFather @ uri_ex_alice @ uri_ex_dave ) )
| ~ ( iext @ uri_ex_hasCousin @ uri_ex_alice @ uri_ex_bob ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[305]) ).
thf(313,plain,
! [SV33: $i,SV32: $i] :
( ( ( ~ ( ~ ( ~ ( iext @ SV32 @ ( sK6_X @ SV33 @ SV32 ) @ ( sK7_SY27 @ SV33 @ SV32 ) )
| ~ ( iext @ SV33 @ ( sK7_SY27 @ SV33 @ SV32 ) @ ( sK6_X @ SV33 @ SV32 ) ) )
| ~ ( ( iext @ SV32 @ ( sK6_X @ SV33 @ SV32 ) @ ( sK7_SY27 @ SV33 @ SV32 ) )
| ( iext @ SV33 @ ( sK7_SY27 @ SV33 @ SV32 ) @ ( sK6_X @ SV33 @ SV32 ) ) ) ) )
= $true )
| ( ( ~ ( ip @ SV32 )
| ~ ( ip @ SV33 ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV32 @ SV33 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[307]) ).
thf(314,plain,
! [SV35: $i] :
( ( ! [SY145: $i] :
( ~ ( iext @ uri_owl_inverseOf @ SV35 @ SY145 )
| ~ ( ~ ! [SY146: $i,SY147: $i] :
( ~ ( iext @ SV35 @ SY146 @ SY147 )
| ( iext @ SY145 @ SY147 @ SY146 ) )
| ~ ! [SY148: $i,SY149: $i] :
( ~ ( iext @ SY145 @ SY149 @ SY148 )
| ( iext @ SV35 @ SY148 @ SY149 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[308]) ).
thf(315,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ( ip @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ( ip @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[309]) ).
thf(316,plain,
! [SV29: $i,SV36: $i,SV34: $i,SV31: $i,SV30: $i] :
( ( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SV34 )
| ~ ( iext @ uri_rdf_first @ SV34 @ SV36 )
| ~ ( iext @ uri_rdf_rest @ SV34 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( iext @ SV31 @ ( sK8_Y0 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK9_SY28 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) )
| ~ ( iext @ SV36 @ ( sK9_SY28 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK10_SY30 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) ) )
| ~ ~ ( iext @ SV29 @ ( sK8_Y0 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK10_SY30 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) ) )
| ~ ( ip @ SV29 )
| ~ ( ip @ SV31 )
| ~ ( ip @ SV36 )
| ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[310]) ).
thf(317,plain,
! [SV29: $i,SV31: $i,SV30: $i] :
( ( ~ ! [SY132: $i,SY133: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SY132 )
| ~ ( iext @ uri_rdf_first @ SY132 @ SY133 )
| ~ ( iext @ uri_rdf_rest @ SY132 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ! [SY134: $i,SY135: $i,SY136: $i] :
( ~ ( iext @ SV31 @ SY134 @ SY135 )
| ~ ( iext @ SY133 @ SY135 @ SY136 )
| ( iext @ SV29 @ SY134 @ SY136 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[311]) ).
thf(318,plain,
! [SV29: $i,SV31: $i,SV30: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ! [SY137: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SY137 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY137 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY137 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV29 ) )
| ~ ( ! [SY139: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SY139 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY139 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY139 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV31 ) ) )
| ~ ! [SY141: $i,SY142: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SY141 )
| ~ ( iext @ uri_rdf_first @ SY141 @ SY142 )
| ~ ( iext @ uri_rdf_rest @ SY141 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SY142 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[311]) ).
thf(319,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY21 @ sK4_SY24 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY24 @ sK5_SY26 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY24 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_inverseOf @ sK5_SY26 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_ex_hasFather @ uri_ex_alice @ uri_ex_dave ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[312]) ).
thf(320,plain,
( ( ~ ( iext @ uri_ex_hasCousin @ uri_ex_alice @ uri_ex_bob ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[312]) ).
thf(321,plain,
! [SV33: $i,SV32: $i] :
( ( ( ~ ( ~ ( iext @ SV32 @ ( sK6_X @ SV33 @ SV32 ) @ ( sK7_SY27 @ SV33 @ SV32 ) )
| ~ ( iext @ SV33 @ ( sK7_SY27 @ SV33 @ SV32 ) @ ( sK6_X @ SV33 @ SV32 ) ) )
| ~ ( ( iext @ SV32 @ ( sK6_X @ SV33 @ SV32 ) @ ( sK7_SY27 @ SV33 @ SV32 ) )
| ( iext @ SV33 @ ( sK7_SY27 @ SV33 @ SV32 ) @ ( sK6_X @ SV33 @ SV32 ) ) ) )
= $false )
| ( ( ~ ( ip @ SV32 )
| ~ ( ip @ SV33 ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV32 @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[313]) ).
thf(322,plain,
! [SV37: $i,SV35: $i] :
( ( ~ ( iext @ uri_owl_inverseOf @ SV35 @ SV37 )
| ~ ( ~ ! [SY150: $i,SY151: $i] :
( ~ ( iext @ SV35 @ SY150 @ SY151 )
| ( iext @ SV37 @ SY151 @ SY150 ) )
| ~ ! [SY152: $i,SY153: $i] :
( ~ ( iext @ SV37 @ SY153 @ SY152 )
| ( iext @ SV35 @ SY152 @ SY153 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[314]) ).
thf(323,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ( ip @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[315]) ).
thf(324,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ( ip @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[315]) ).
thf(325,plain,
! [SV29: $i,SV36: $i,SV34: $i,SV31: $i,SV30: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SV34 )
| ~ ( iext @ uri_rdf_first @ SV34 @ SV36 )
| ~ ( iext @ uri_rdf_rest @ SV34 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( iext @ SV31 @ ( sK8_Y0 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK9_SY28 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) )
| ~ ( iext @ SV36 @ ( sK9_SY28 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK10_SY30 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) ) )
| ~ ~ ( iext @ SV29 @ ( sK8_Y0 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK10_SY30 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) ) )
| ~ ( ip @ SV29 )
| ~ ( ip @ SV31 )
| ~ ( ip @ SV36 )
| ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[316]) ).
thf(326,plain,
! [SV29: $i,SV31: $i,SV30: $i] :
( ( ! [SY132: $i,SY133: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SY132 )
| ~ ( iext @ uri_rdf_first @ SY132 @ SY133 )
| ~ ( iext @ uri_rdf_rest @ SY132 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ! [SY134: $i,SY135: $i,SY136: $i] :
( ~ ( iext @ SV31 @ SY134 @ SY135 )
| ~ ( iext @ SY133 @ SY135 @ SY136 )
| ( iext @ SV29 @ SY134 @ SY136 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[317]) ).
thf(327,plain,
! [SV29: $i,SV31: $i,SV30: $i] :
( ( ~ ( ~ ~ ( ~ ( ! [SY137: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SY137 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY137 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY137 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV29 ) )
| ~ ( ! [SY139: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SY139 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY139 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY139 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV31 ) ) )
| ~ ! [SY141: $i,SY142: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SY141 )
| ~ ( iext @ uri_rdf_first @ SY141 @ SY142 )
| ~ ( iext @ uri_rdf_rest @ SY141 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SY142 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[318]) ).
thf(328,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY21 @ sK4_SY24 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY24 @ sK5_SY26 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY24 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_inverseOf @ sK5_SY26 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_ex_hasFather @ uri_ex_alice @ uri_ex_dave ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[319]) ).
thf(329,plain,
( ( iext @ uri_ex_hasCousin @ uri_ex_alice @ uri_ex_bob )
= $true ),
inference(extcnf_not_neg,[status(thm)],[320]) ).
thf(330,plain,
! [SV33: $i,SV32: $i] :
( ( ( ~ ( ~ ( iext @ SV32 @ ( sK6_X @ SV33 @ SV32 ) @ ( sK7_SY27 @ SV33 @ SV32 ) )
| ~ ( iext @ SV33 @ ( sK7_SY27 @ SV33 @ SV32 ) @ ( sK6_X @ SV33 @ SV32 ) ) ) )
= $false )
| ( ( ~ ( ip @ SV32 )
| ~ ( ip @ SV33 ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV32 @ SV33 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[321]) ).
thf(331,plain,
! [SV33: $i,SV32: $i] :
( ( ( ~ ( ( iext @ SV32 @ ( sK6_X @ SV33 @ SV32 ) @ ( sK7_SY27 @ SV33 @ SV32 ) )
| ( iext @ SV33 @ ( sK7_SY27 @ SV33 @ SV32 ) @ ( sK6_X @ SV33 @ SV32 ) ) ) )
= $false )
| ( ( ~ ( ip @ SV32 )
| ~ ( ip @ SV33 ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV32 @ SV33 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[321]) ).
thf(332,plain,
! [SV37: $i,SV35: $i] :
( ( ( ~ ( iext @ uri_owl_inverseOf @ SV35 @ SV37 ) )
= $true )
| ( ( ~ ( ~ ! [SY150: $i,SY151: $i] :
( ~ ( iext @ SV35 @ SY150 @ SY151 )
| ( iext @ SV37 @ SY151 @ SY150 ) )
| ~ ! [SY152: $i,SY153: $i] :
( ~ ( iext @ SV37 @ SY153 @ SY152 )
| ( iext @ SV35 @ SY152 @ SY153 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[322]) ).
thf(333,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ( ip @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[323]) ).
thf(334,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ( ip @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[324]) ).
thf(335,plain,
! [SV29: $i,SV36: $i,SV34: $i,SV31: $i,SV30: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SV34 )
| ~ ( iext @ uri_rdf_first @ SV34 @ SV36 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV34 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( iext @ SV31 @ ( sK8_Y0 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK9_SY28 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) )
| ~ ( iext @ SV36 @ ( sK9_SY28 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK10_SY30 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) ) )
| ~ ~ ( iext @ SV29 @ ( sK8_Y0 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK10_SY30 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) ) )
| ~ ( ip @ SV29 )
| ~ ( ip @ SV31 )
| ~ ( ip @ SV36 )
| ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[325]) ).
thf(336,plain,
! [SV29: $i,SV38: $i,SV31: $i,SV30: $i] :
( ( ! [SY154: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SV38 )
| ~ ( iext @ uri_rdf_first @ SV38 @ SY154 )
| ~ ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ! [SY134: $i,SY135: $i,SY136: $i] :
( ~ ( iext @ SV31 @ SY134 @ SY135 )
| ~ ( iext @ SY154 @ SY135 @ SY136 )
| ( iext @ SV29 @ SY134 @ SY136 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[326]) ).
thf(337,plain,
! [SV29: $i,SV31: $i,SV30: $i] :
( ( ~ ~ ( ~ ( ! [SY137: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SY137 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY137 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY137 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV29 ) )
| ~ ( ! [SY139: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SY139 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY139 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY139 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV31 ) ) )
| ~ ! [SY141: $i,SY142: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SY141 )
| ~ ( iext @ uri_rdf_first @ SY141 @ SY142 )
| ~ ( iext @ uri_rdf_rest @ SY141 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SY142 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[327]) ).
thf(338,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY21 @ sK4_SY24 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY24 @ sK5_SY26 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY24 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_inverseOf @ sK5_SY26 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_ex_hasFather @ uri_ex_alice @ uri_ex_dave ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[328]) ).
thf(339,plain,
! [SV33: $i,SV32: $i] :
( ( ( ~ ( iext @ SV32 @ ( sK6_X @ SV33 @ SV32 ) @ ( sK7_SY27 @ SV33 @ SV32 ) )
| ~ ( iext @ SV33 @ ( sK7_SY27 @ SV33 @ SV32 ) @ ( sK6_X @ SV33 @ SV32 ) ) )
= $true )
| ( ( ~ ( ip @ SV32 )
| ~ ( ip @ SV33 ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV32 @ SV33 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[330]) ).
thf(340,plain,
! [SV33: $i,SV32: $i] :
( ( ( ( iext @ SV32 @ ( sK6_X @ SV33 @ SV32 ) @ ( sK7_SY27 @ SV33 @ SV32 ) )
| ( iext @ SV33 @ ( sK7_SY27 @ SV33 @ SV32 ) @ ( sK6_X @ SV33 @ SV32 ) ) )
= $true )
| ( ( ~ ( ip @ SV32 )
| ~ ( ip @ SV33 ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV32 @ SV33 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[331]) ).
thf(341,plain,
! [SV37: $i,SV35: $i] :
( ( ( iext @ uri_owl_inverseOf @ SV35 @ SV37 )
= $false )
| ( ( ~ ( ~ ! [SY150: $i,SY151: $i] :
( ~ ( iext @ SV35 @ SY150 @ SY151 )
| ( iext @ SV37 @ SY151 @ SY150 ) )
| ~ ! [SY152: $i,SY153: $i] :
( ~ ( iext @ SV37 @ SY153 @ SY152 )
| ( iext @ SV35 @ SY152 @ SY153 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[332]) ).
thf(342,plain,
! [SV39: $i] :
( ( ! [SY158: $i] :
~ ( iext @ uri_owl_inverseOf @ SV39 @ SY158 )
| ( ip @ SV39 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[333]) ).
thf(343,plain,
! [SV40: $i] :
( ( ! [SY159: $i] :
( ~ ( iext @ uri_owl_inverseOf @ SV40 @ SY159 )
| ( ip @ SY159 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[334]) ).
thf(344,plain,
! [SV29: $i,SV36: $i,SV34: $i,SV31: $i,SV30: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SV34 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV34 @ SV36 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV34 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( iext @ SV31 @ ( sK8_Y0 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK9_SY28 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) )
| ~ ( iext @ SV36 @ ( sK9_SY28 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK10_SY30 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) ) )
| ~ ~ ( iext @ SV29 @ ( sK8_Y0 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK10_SY30 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) ) )
| ~ ( ip @ SV29 )
| ~ ( ip @ SV31 )
| ~ ( ip @ SV36 )
| ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[335]) ).
thf(345,plain,
! [SV29: $i,SV41: $i,SV38: $i,SV31: $i,SV30: $i] :
( ( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SV38 )
| ~ ( iext @ uri_rdf_first @ SV38 @ SV41 )
| ~ ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ! [SY160: $i,SY161: $i,SY162: $i] :
( ~ ( iext @ SV31 @ SY160 @ SY161 )
| ~ ( iext @ SV41 @ SY161 @ SY162 )
| ( iext @ SV29 @ SY160 @ SY162 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[336]) ).
thf(346,plain,
! [SV29: $i,SV31: $i,SV30: $i] :
( ( ~ ~ ( ~ ( ! [SY137: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SY137 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY137 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY137 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV29 ) )
| ~ ( ! [SY139: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SY139 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY139 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY139 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV31 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[337]) ).
thf(347,plain,
! [SV29: $i,SV31: $i,SV30: $i] :
( ( ~ ! [SY141: $i,SY142: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SY141 )
| ~ ( iext @ uri_rdf_first @ SY141 @ SY142 )
| ~ ( iext @ uri_rdf_rest @ SY141 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SY142 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[337]) ).
thf(348,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY21 @ sK4_SY24 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY24 @ sK5_SY26 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY24 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_inverseOf @ sK5_SY26 @ uri_ex_hasFather ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[338]) ).
thf(349,plain,
( ( ~ ( iext @ uri_ex_hasFather @ uri_ex_alice @ uri_ex_dave ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[338]) ).
thf(350,plain,
! [SV33: $i,SV32: $i] :
( ( ( ~ ( iext @ SV32 @ ( sK6_X @ SV33 @ SV32 ) @ ( sK7_SY27 @ SV33 @ SV32 ) ) )
= $true )
| ( ( ~ ( iext @ SV33 @ ( sK7_SY27 @ SV33 @ SV32 ) @ ( sK6_X @ SV33 @ SV32 ) ) )
= $true )
| ( ( ~ ( ip @ SV32 )
| ~ ( ip @ SV33 ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV32 @ SV33 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[339]) ).
thf(351,plain,
! [SV33: $i,SV32: $i] :
( ( ( iext @ SV32 @ ( sK6_X @ SV33 @ SV32 ) @ ( sK7_SY27 @ SV33 @ SV32 ) )
= $true )
| ( ( iext @ SV33 @ ( sK7_SY27 @ SV33 @ SV32 ) @ ( sK6_X @ SV33 @ SV32 ) )
= $true )
| ( ( ~ ( ip @ SV32 )
| ~ ( ip @ SV33 ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV32 @ SV33 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[340]) ).
thf(352,plain,
! [SV37: $i,SV35: $i] :
( ( ( ~ ! [SY150: $i,SY151: $i] :
( ~ ( iext @ SV35 @ SY150 @ SY151 )
| ( iext @ SV37 @ SY151 @ SY150 ) )
| ~ ! [SY152: $i,SY153: $i] :
( ~ ( iext @ SV37 @ SY153 @ SY152 )
| ( iext @ SV35 @ SY152 @ SY153 ) ) )
= $false )
| ( ( iext @ uri_owl_inverseOf @ SV35 @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[341]) ).
thf(353,plain,
! [SV39: $i] :
( ( ( ! [SY158: $i] :
~ ( iext @ uri_owl_inverseOf @ SV39 @ SY158 ) )
= $true )
| ( ( ip @ SV39 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[342]) ).
thf(354,plain,
! [SV42: $i,SV40: $i] :
( ( ~ ( iext @ uri_owl_inverseOf @ SV40 @ SV42 )
| ( ip @ SV42 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[343]) ).
thf(355,plain,
! [SV29: $i,SV36: $i,SV34: $i,SV31: $i,SV30: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV30 @ SV34 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV34 @ SV36 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV34 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( iext @ SV31 @ ( sK8_Y0 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK9_SY28 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) )
| ~ ( iext @ SV36 @ ( sK9_SY28 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK10_SY30 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) ) )
| ~ ~ ( iext @ SV29 @ ( sK8_Y0 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK10_SY30 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) ) )
| ~ ( ip @ SV29 )
| ~ ( ip @ SV31 )
| ~ ( ip @ SV36 )
| ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[344]) ).
thf(356,plain,
! [SV29: $i,SV41: $i,SV38: $i,SV31: $i,SV30: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SV38 )
| ~ ( iext @ uri_rdf_first @ SV38 @ SV41 )
| ~ ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ! [SY160: $i,SY161: $i,SY162: $i] :
( ~ ( iext @ SV31 @ SY160 @ SY161 )
| ~ ( iext @ SV41 @ SY161 @ SY162 )
| ( iext @ SV29 @ SY160 @ SY162 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[345]) ).
thf(357,plain,
! [SV29: $i,SV31: $i,SV30: $i] :
( ( ~ ( ~ ( ! [SY137: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SY137 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY137 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY137 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV29 ) )
| ~ ( ! [SY139: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SY139 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY139 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY139 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV31 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[346]) ).
thf(358,plain,
! [SV29: $i,SV31: $i,SV30: $i] :
( ( ! [SY141: $i,SY142: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SY141 )
| ~ ( iext @ uri_rdf_first @ SY141 @ SY142 )
| ~ ( iext @ uri_rdf_rest @ SY141 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SY142 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[347]) ).
thf(359,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY21 @ sK4_SY24 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY24 @ sK5_SY26 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY24 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_inverseOf @ sK5_SY26 @ uri_ex_hasFather ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[348]) ).
thf(360,plain,
( ( iext @ uri_ex_hasFather @ uri_ex_alice @ uri_ex_dave )
= $true ),
inference(extcnf_not_neg,[status(thm)],[349]) ).
thf(361,plain,
! [SV33: $i,SV32: $i] :
( ( ( iext @ SV32 @ ( sK6_X @ SV33 @ SV32 ) @ ( sK7_SY27 @ SV33 @ SV32 ) )
= $false )
| ( ( ~ ( iext @ SV33 @ ( sK7_SY27 @ SV33 @ SV32 ) @ ( sK6_X @ SV33 @ SV32 ) ) )
= $true )
| ( ( ~ ( ip @ SV32 )
| ~ ( ip @ SV33 ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV32 @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[350]) ).
thf(362,plain,
! [SV33: $i,SV32: $i] :
( ( ( ~ ( ip @ SV32 ) )
= $true )
| ( ( ~ ( ip @ SV33 ) )
= $true )
| ( ( iext @ SV33 @ ( sK7_SY27 @ SV33 @ SV32 ) @ ( sK6_X @ SV33 @ SV32 ) )
= $true )
| ( ( iext @ SV32 @ ( sK6_X @ SV33 @ SV32 ) @ ( sK7_SY27 @ SV33 @ SV32 ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV32 @ SV33 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[351]) ).
thf(363,plain,
! [SV37: $i,SV35: $i] :
( ( ( ~ ! [SY150: $i,SY151: $i] :
( ~ ( iext @ SV35 @ SY150 @ SY151 )
| ( iext @ SV37 @ SY151 @ SY150 ) ) )
= $false )
| ( ( iext @ uri_owl_inverseOf @ SV35 @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[352]) ).
thf(364,plain,
! [SV35: $i,SV37: $i] :
( ( ( ~ ! [SY152: $i,SY153: $i] :
( ~ ( iext @ SV37 @ SY153 @ SY152 )
| ( iext @ SV35 @ SY152 @ SY153 ) ) )
= $false )
| ( ( iext @ uri_owl_inverseOf @ SV35 @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[352]) ).
thf(365,plain,
! [SV43: $i,SV39: $i] :
( ( ( ~ ( iext @ uri_owl_inverseOf @ SV39 @ SV43 ) )
= $true )
| ( ( ip @ SV39 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[353]) ).
thf(366,plain,
! [SV42: $i,SV40: $i] :
( ( ( ~ ( iext @ uri_owl_inverseOf @ SV40 @ SV42 ) )
= $true )
| ( ( ip @ SV42 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[354]) ).
thf(367,plain,
! [SV29: $i,SV36: $i,SV34: $i,SV31: $i,SV30: $i] :
( ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV30 @ SV34 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV34 @ SV36 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV34 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( iext @ SV31 @ ( sK8_Y0 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK9_SY28 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) )
| ~ ( iext @ SV36 @ ( sK9_SY28 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK10_SY30 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) ) )
| ~ ~ ( iext @ SV29 @ ( sK8_Y0 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK10_SY30 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) ) )
| ~ ( ip @ SV29 )
| ~ ( ip @ SV31 )
| ~ ( ip @ SV36 )
| ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[355]) ).
thf(368,plain,
! [SV29: $i,SV41: $i,SV38: $i,SV31: $i,SV30: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SV38 )
| ~ ( iext @ uri_rdf_first @ SV38 @ SV41 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ! [SY160: $i,SY161: $i,SY162: $i] :
( ~ ( iext @ SV31 @ SY160 @ SY161 )
| ~ ( iext @ SV41 @ SY161 @ SY162 )
| ( iext @ SV29 @ SY160 @ SY162 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[356]) ).
thf(369,plain,
! [SV29: $i,SV31: $i,SV30: $i] :
( ( ~ ( ! [SY137: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SY137 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY137 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY137 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV29 ) )
| ~ ( ! [SY139: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SY139 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY139 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY139 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV31 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[357]) ).
thf(370,plain,
! [SV29: $i,SV44: $i,SV31: $i,SV30: $i] :
( ( ! [SY163: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SY163 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SY163 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[358]) ).
thf(371,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY21 @ sK4_SY24 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY24 @ sK5_SY26 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY24 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_inverseOf @ sK5_SY26 @ uri_ex_hasFather ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[359]) ).
thf(372,plain,
! [SV32: $i,SV33: $i] :
( ( ( iext @ SV33 @ ( sK7_SY27 @ SV33 @ SV32 ) @ ( sK6_X @ SV33 @ SV32 ) )
= $false )
| ( ( iext @ SV32 @ ( sK6_X @ SV33 @ SV32 ) @ ( sK7_SY27 @ SV33 @ SV32 ) )
= $false )
| ( ( ~ ( ip @ SV32 )
| ~ ( ip @ SV33 ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV32 @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[361]) ).
thf(373,plain,
! [SV33: $i,SV32: $i] :
( ( ( ip @ SV32 )
= $false )
| ( ( ~ ( ip @ SV33 ) )
= $true )
| ( ( iext @ SV33 @ ( sK7_SY27 @ SV33 @ SV32 ) @ ( sK6_X @ SV33 @ SV32 ) )
= $true )
| ( ( iext @ SV32 @ ( sK6_X @ SV33 @ SV32 ) @ ( sK7_SY27 @ SV33 @ SV32 ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV32 @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[362]) ).
thf(374,plain,
! [SV37: $i,SV35: $i] :
( ( ( ! [SY150: $i,SY151: $i] :
( ~ ( iext @ SV35 @ SY150 @ SY151 )
| ( iext @ SV37 @ SY151 @ SY150 ) ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV35 @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[363]) ).
thf(375,plain,
! [SV35: $i,SV37: $i] :
( ( ( ! [SY152: $i,SY153: $i] :
( ~ ( iext @ SV37 @ SY153 @ SY152 )
| ( iext @ SV35 @ SY152 @ SY153 ) ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV35 @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[364]) ).
thf(376,plain,
! [SV43: $i,SV39: $i] :
( ( ( iext @ uri_owl_inverseOf @ SV39 @ SV43 )
= $false )
| ( ( ip @ SV39 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[365]) ).
thf(377,plain,
! [SV42: $i,SV40: $i] :
( ( ( iext @ uri_owl_inverseOf @ SV40 @ SV42 )
= $false )
| ( ( ip @ SV42 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[366]) ).
thf(378,plain,
! [SV29: $i,SV36: $i,SV31: $i,SV34: $i,SV30: $i] :
( ( ( iext @ uri_rdf_rest @ SV30 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV34 @ SV36 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV34 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( iext @ SV31 @ ( sK8_Y0 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK9_SY28 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) )
| ~ ( iext @ SV36 @ ( sK9_SY28 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK10_SY30 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) ) )
| ~ ~ ( iext @ SV29 @ ( sK8_Y0 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK10_SY30 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) ) )
| ~ ( ip @ SV29 )
| ~ ( ip @ SV31 )
| ~ ( ip @ SV36 )
| ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[367]) ).
thf(379,plain,
! [SV29: $i,SV41: $i,SV38: $i,SV31: $i,SV30: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SV38 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV38 @ SV41 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ! [SY160: $i,SY161: $i,SY162: $i] :
( ~ ( iext @ SV31 @ SY160 @ SY161 )
| ~ ( iext @ SV41 @ SY161 @ SY162 )
| ( iext @ SV29 @ SY160 @ SY162 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[368]) ).
thf(380,plain,
! [SV29: $i,SV31: $i,SV30: $i] :
( ( ~ ( ! [SY137: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SY137 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY137 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY137 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV29 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[369]) ).
thf(381,plain,
! [SV29: $i,SV31: $i,SV30: $i] :
( ( ~ ( ! [SY139: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SY139 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY139 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY139 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV31 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[369]) ).
thf(382,plain,
! [SV29: $i,SV45: $i,SV44: $i,SV31: $i,SV30: $i] :
( ( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV45 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV45 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[370]) ).
thf(383,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY21 @ sK4_SY24 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY24 @ sK5_SY26 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY24 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[371]) ).
thf(384,plain,
( ( ~ ( iext @ uri_owl_inverseOf @ sK5_SY26 @ uri_ex_hasFather ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[371]) ).
thf(385,plain,
! [SV33: $i,SV32: $i] :
( ( ( ~ ( ip @ SV32 ) )
= $true )
| ( ( ~ ( ip @ SV33 ) )
= $true )
| ( ( iext @ SV32 @ ( sK6_X @ SV33 @ SV32 ) @ ( sK7_SY27 @ SV33 @ SV32 ) )
= $false )
| ( ( iext @ SV33 @ ( sK7_SY27 @ SV33 @ SV32 ) @ ( sK6_X @ SV33 @ SV32 ) )
= $false )
| ( ( iext @ uri_owl_inverseOf @ SV32 @ SV33 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[372]) ).
thf(386,plain,
! [SV32: $i,SV33: $i] :
( ( ( ip @ SV33 )
= $false )
| ( ( ip @ SV32 )
= $false )
| ( ( iext @ SV33 @ ( sK7_SY27 @ SV33 @ SV32 ) @ ( sK6_X @ SV33 @ SV32 ) )
= $true )
| ( ( iext @ SV32 @ ( sK6_X @ SV33 @ SV32 ) @ ( sK7_SY27 @ SV33 @ SV32 ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV32 @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[373]) ).
thf(387,plain,
! [SV37: $i,SV46: $i,SV35: $i] :
( ( ( ! [SY164: $i] :
( ~ ( iext @ SV35 @ SV46 @ SY164 )
| ( iext @ SV37 @ SY164 @ SV46 ) ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV35 @ SV37 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[374]) ).
thf(388,plain,
! [SV35: $i,SV47: $i,SV37: $i] :
( ( ( ! [SY165: $i] :
( ~ ( iext @ SV37 @ SY165 @ SV47 )
| ( iext @ SV35 @ SV47 @ SY165 ) ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV35 @ SV37 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[375]) ).
thf(389,plain,
! [SV29: $i,SV31: $i,SV30: $i,SV36: $i,SV34: $i] :
( ( ( iext @ uri_rdf_first @ SV34 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ SV34 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV34 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( iext @ SV31 @ ( sK8_Y0 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK9_SY28 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) )
| ~ ( iext @ SV36 @ ( sK9_SY28 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK10_SY30 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) ) )
| ~ ~ ( iext @ SV29 @ ( sK8_Y0 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK10_SY30 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) ) )
| ~ ( ip @ SV29 )
| ~ ( ip @ SV31 )
| ~ ( ip @ SV36 )
| ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[378]) ).
thf(390,plain,
! [SV29: $i,SV41: $i,SV38: $i,SV31: $i,SV30: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV30 @ SV38 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV38 @ SV41 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ! [SY160: $i,SY161: $i,SY162: $i] :
( ~ ( iext @ SV31 @ SY160 @ SY161 )
| ~ ( iext @ SV41 @ SY161 @ SY162 )
| ( iext @ SV29 @ SY160 @ SY162 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[379]) ).
thf(391,plain,
! [SV29: $i,SV31: $i,SV30: $i] :
( ( ! [SY137: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SY137 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY137 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY137 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV29 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[380]) ).
thf(392,plain,
! [SV29: $i,SV31: $i,SV30: $i] :
( ( ! [SY139: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SY139 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY139 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY139 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV31 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[381]) ).
thf(393,plain,
! [SV29: $i,SV45: $i,SV44: $i,SV31: $i,SV30: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV45 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV45 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[382]) ).
thf(394,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY21 @ sK4_SY24 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY24 @ sK5_SY26 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY24 @ uri_rdf_nil ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[383]) ).
thf(395,plain,
( ( iext @ uri_owl_inverseOf @ sK5_SY26 @ uri_ex_hasFather )
= $true ),
inference(extcnf_not_neg,[status(thm)],[384]) ).
thf(396,plain,
! [SV33: $i,SV32: $i] :
( ( ( ip @ SV32 )
= $false )
| ( ( ~ ( ip @ SV33 ) )
= $true )
| ( ( iext @ SV32 @ ( sK6_X @ SV33 @ SV32 ) @ ( sK7_SY27 @ SV33 @ SV32 ) )
= $false )
| ( ( iext @ SV33 @ ( sK7_SY27 @ SV33 @ SV32 ) @ ( sK6_X @ SV33 @ SV32 ) )
= $false )
| ( ( iext @ uri_owl_inverseOf @ SV32 @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[385]) ).
thf(397,plain,
! [SV37: $i,SV48: $i,SV46: $i,SV35: $i] :
( ( ( ~ ( iext @ SV35 @ SV46 @ SV48 )
| ( iext @ SV37 @ SV48 @ SV46 ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV35 @ SV37 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[387]) ).
thf(398,plain,
! [SV35: $i,SV47: $i,SV49: $i,SV37: $i] :
( ( ( ~ ( iext @ SV37 @ SV49 @ SV47 )
| ( iext @ SV35 @ SV47 @ SV49 ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV35 @ SV37 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[388]) ).
thf(399,plain,
! [SV29: $i,SV36: $i,SV31: $i,SV30: $i,SV34: $i] :
( ( ( iext @ uri_rdf_rest @ SV34 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV34 @ SV36 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( iext @ SV31 @ ( sK8_Y0 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK9_SY28 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) )
| ~ ( iext @ SV36 @ ( sK9_SY28 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK10_SY30 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) ) )
| ~ ~ ( iext @ SV29 @ ( sK8_Y0 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK10_SY30 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) ) )
| ~ ( ip @ SV29 )
| ~ ( ip @ SV31 )
| ~ ( ip @ SV36 )
| ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[389]) ).
thf(400,plain,
! [SV29: $i,SV41: $i,SV38: $i,SV31: $i,SV30: $i] :
( ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV30 @ SV38 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV38 @ SV41 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ! [SY160: $i,SY161: $i,SY162: $i] :
( ~ ( iext @ SV31 @ SY160 @ SY161 )
| ~ ( iext @ SV41 @ SY161 @ SY162 )
| ( iext @ SV29 @ SY160 @ SY162 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(401,plain,
! [SV29: $i,SV31: $i,SV30: $i] :
( ( ( ! [SY137: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SY137 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY137 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY137 @ uri_rdf_nil ) ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV29 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[391]) ).
thf(402,plain,
! [SV29: $i,SV31: $i,SV30: $i] :
( ( ( ! [SY139: $i] :
( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SY139 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY139 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY139 @ uri_rdf_nil ) ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[392]) ).
thf(403,plain,
! [SV29: $i,SV45: $i,SV44: $i,SV31: $i,SV30: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV45 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV44 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV45 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[393]) ).
thf(404,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY21 @ sK4_SY24 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY24 @ sK5_SY26 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY24 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[394]) ).
thf(405,plain,
! [SV32: $i,SV33: $i] :
( ( ( ip @ SV33 )
= $false )
| ( ( ip @ SV32 )
= $false )
| ( ( iext @ SV32 @ ( sK6_X @ SV33 @ SV32 ) @ ( sK7_SY27 @ SV33 @ SV32 ) )
= $false )
| ( ( iext @ SV33 @ ( sK7_SY27 @ SV33 @ SV32 ) @ ( sK6_X @ SV33 @ SV32 ) )
= $false )
| ( ( iext @ uri_owl_inverseOf @ SV32 @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[396]) ).
thf(406,plain,
! [SV37: $i,SV48: $i,SV46: $i,SV35: $i] :
( ( ( ~ ( iext @ SV35 @ SV46 @ SV48 ) )
= $true )
| ( ( iext @ SV37 @ SV48 @ SV46 )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV35 @ SV37 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[397]) ).
thf(407,plain,
! [SV35: $i,SV47: $i,SV49: $i,SV37: $i] :
( ( ( ~ ( iext @ SV37 @ SV49 @ SV47 ) )
= $true )
| ( ( iext @ SV35 @ SV47 @ SV49 )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV35 @ SV37 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[398]) ).
thf(408,plain,
! [SV29: $i,SV30: $i,SV34: $i,SV36: $i,SV31: $i] :
( ( ( ~ ( ~ ~ ( ~ ( iext @ SV31 @ ( sK8_Y0 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK9_SY28 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) )
| ~ ( iext @ SV36 @ ( sK9_SY28 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK10_SY30 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) ) )
| ~ ~ ( iext @ SV29 @ ( sK8_Y0 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK10_SY30 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) ) )
| ~ ( ip @ SV29 )
| ~ ( ip @ SV31 )
| ~ ( ip @ SV36 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
= $true )
| ( ( iext @ uri_rdf_first @ SV34 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV34 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[399]) ).
thf(409,plain,
! [SV29: $i,SV41: $i,SV31: $i,SV38: $i,SV30: $i] :
( ( ( iext @ uri_rdf_rest @ SV30 @ SV38 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV38 @ SV41 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ! [SY160: $i,SY161: $i,SY162: $i] :
( ~ ( iext @ SV31 @ SY160 @ SY161 )
| ~ ( iext @ SV41 @ SY161 @ SY162 )
| ( iext @ SV29 @ SY160 @ SY162 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[400]) ).
thf(410,plain,
! [SV29: $i,SV50: $i,SV31: $i,SV30: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SV50 )
| ! [SY166: $i] :
~ ( iext @ uri_rdf_first @ SV50 @ SY166 )
| ~ ( iext @ uri_rdf_rest @ SV50 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV29 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[401]) ).
thf(411,plain,
! [SV29: $i,SV51: $i,SV31: $i,SV30: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SV51 )
| ! [SY167: $i] :
~ ( iext @ uri_rdf_first @ SV51 @ SY167 )
| ~ ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV31 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[402]) ).
thf(412,plain,
! [SV29: $i,SV45: $i,SV44: $i,SV31: $i,SV30: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SV44 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV44 @ SV45 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV44 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV45 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[403]) ).
thf(413,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY21 @ sK4_SY24 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY24 @ sK5_SY26 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[404]) ).
thf(414,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK4_SY24 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[404]) ).
thf(415,plain,
! [SV37: $i,SV48: $i,SV46: $i,SV35: $i] :
( ( ( iext @ SV35 @ SV46 @ SV48 )
= $false )
| ( ( iext @ SV37 @ SV48 @ SV46 )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV35 @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[406]) ).
thf(416,plain,
! [SV35: $i,SV47: $i,SV49: $i,SV37: $i] :
( ( ( iext @ SV37 @ SV49 @ SV47 )
= $false )
| ( ( iext @ SV35 @ SV47 @ SV49 )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV35 @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[407]) ).
thf(417,plain,
! [SV29: $i,SV30: $i,SV34: $i,SV36: $i,SV31: $i] :
( ( ( ~ ( ~ ~ ( ~ ( iext @ SV31 @ ( sK8_Y0 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK9_SY28 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) )
| ~ ( iext @ SV36 @ ( sK9_SY28 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK10_SY30 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) ) )
| ~ ~ ( iext @ SV29 @ ( sK8_Y0 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK10_SY30 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) ) ) )
= $true )
| ( ( ~ ( ip @ SV29 )
| ~ ( ip @ SV31 )
| ~ ( ip @ SV36 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
= $true )
| ( ( iext @ uri_rdf_first @ SV34 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV34 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[408]) ).
thf(418,plain,
! [SV29: $i,SV31: $i,SV30: $i,SV41: $i,SV38: $i] :
( ( ( iext @ uri_rdf_first @ SV38 @ SV41 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ SV38 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ! [SY160: $i,SY161: $i,SY162: $i] :
( ~ ( iext @ SV31 @ SY160 @ SY161 )
| ~ ( iext @ SV41 @ SY161 @ SY162 )
| ( iext @ SV29 @ SY160 @ SY162 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[409]) ).
thf(419,plain,
! [SV29: $i,SV50: $i,SV31: $i,SV30: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SV50 )
| ! [SY166: $i] :
~ ( iext @ uri_rdf_first @ SV50 @ SY166 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV50 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV29 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[410]) ).
thf(420,plain,
! [SV29: $i,SV51: $i,SV31: $i,SV30: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SV51 )
| ! [SY167: $i] :
~ ( iext @ uri_rdf_first @ SV51 @ SY167 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[411]) ).
thf(421,plain,
! [SV29: $i,SV45: $i,SV44: $i,SV31: $i,SV30: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV30 @ SV44 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV44 @ SV45 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV44 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV45 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[412]) ).
thf(422,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY21 @ sK4_SY24 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY24 @ sK5_SY26 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[413]) ).
thf(423,plain,
( ( iext @ uri_rdf_rest @ sK4_SY24 @ uri_rdf_nil )
= $true ),
inference(extcnf_not_neg,[status(thm)],[414]) ).
thf(424,plain,
! [SV29: $i,SV30: $i,SV34: $i,SV36: $i,SV31: $i] :
( ( ( ~ ~ ( ~ ( iext @ SV31 @ ( sK8_Y0 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK9_SY28 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) )
| ~ ( iext @ SV36 @ ( sK9_SY28 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK10_SY30 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) ) )
| ~ ~ ( iext @ SV29 @ ( sK8_Y0 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK10_SY30 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) ) )
= $false )
| ( ( ~ ( ip @ SV29 )
| ~ ( ip @ SV31 )
| ~ ( ip @ SV36 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
= $true )
| ( ( iext @ uri_rdf_first @ SV34 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV34 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[417]) ).
thf(425,plain,
! [SV29: $i,SV41: $i,SV31: $i,SV30: $i,SV38: $i] :
( ( ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ SV38 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV38 @ SV41 )
= $false )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ! [SY160: $i,SY161: $i,SY162: $i] :
( ~ ( iext @ SV31 @ SY160 @ SY161 )
| ~ ( iext @ SV41 @ SY161 @ SY162 )
| ( iext @ SV29 @ SY160 @ SY162 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[418]) ).
thf(426,plain,
! [SV29: $i,SV50: $i,SV31: $i,SV30: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SV50 ) )
= $true )
| ( ( ! [SY166: $i] :
~ ( iext @ uri_rdf_first @ SV50 @ SY166 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV50 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV29 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[419]) ).
thf(427,plain,
! [SV29: $i,SV51: $i,SV31: $i,SV30: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ SV51 ) )
= $true )
| ( ( ! [SY167: $i] :
~ ( iext @ uri_rdf_first @ SV51 @ SY167 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[420]) ).
thf(428,plain,
! [SV29: $i,SV45: $i,SV44: $i,SV31: $i,SV30: $i] :
( ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV30 @ SV44 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV44 @ SV45 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV44 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV45 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[421]) ).
thf(429,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY21 @ sK4_SY24 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY24 @ sK5_SY26 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[422]) ).
thf(430,plain,
! [SV29: $i,SV30: $i,SV34: $i,SV36: $i,SV31: $i] :
( ( ( ~ ~ ( ~ ( iext @ SV31 @ ( sK8_Y0 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK9_SY28 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) )
| ~ ( iext @ SV36 @ ( sK9_SY28 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK10_SY30 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) ) ) )
= $false )
| ( ( ~ ( ip @ SV29 )
| ~ ( ip @ SV31 )
| ~ ( ip @ SV36 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
= $true )
| ( ( iext @ uri_rdf_first @ SV34 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV34 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[424]) ).
thf(431,plain,
! [SV30: $i,SV31: $i,SV34: $i,SV36: $i,SV29: $i] :
( ( ( ~ ~ ( iext @ SV29 @ ( sK8_Y0 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK10_SY30 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) ) )
= $false )
| ( ( ~ ( ip @ SV29 )
| ~ ( ip @ SV31 )
| ~ ( ip @ SV36 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
= $true )
| ( ( iext @ uri_rdf_first @ SV34 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV34 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[424]) ).
thf(432,plain,
! [SV38: $i,SV41: $i,SV31: $i,SV30: $i,SV29: $i] :
( ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 ) )
= $true )
| ( ( ! [SY160: $i,SY161: $i,SY162: $i] :
( ~ ( iext @ SV31 @ SY160 @ SY161 )
| ~ ( iext @ SV41 @ SY161 @ SY162 )
| ( iext @ SV29 @ SY160 @ SY162 ) ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV38 @ SV41 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ SV38 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[425]) ).
thf(433,plain,
! [SV29: $i,SV50: $i,SV31: $i,SV30: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV30 @ SV50 ) )
= $true )
| ( ( ! [SY166: $i] :
~ ( iext @ uri_rdf_first @ SV50 @ SY166 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV50 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV29 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[426]) ).
thf(434,plain,
! [SV29: $i,SV51: $i,SV31: $i,SV30: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV30 @ SV31 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV30 @ SV51 ) )
= $true )
| ( ( ! [SY167: $i] :
~ ( iext @ uri_rdf_first @ SV51 @ SY167 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[427]) ).
thf(435,plain,
! [SV29: $i,SV45: $i,SV31: $i,SV44: $i,SV30: $i] :
( ( ( iext @ uri_rdf_rest @ SV30 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV44 @ SV45 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV44 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV45 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[428]) ).
thf(436,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY21 @ sK4_SY24 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[429]) ).
thf(437,plain,
( ( ~ ( iext @ uri_rdf_first @ sK4_SY24 @ sK5_SY26 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[429]) ).
thf(438,plain,
! [SV29: $i,SV30: $i,SV34: $i,SV36: $i,SV31: $i] :
( ( ( ~ ( ~ ( iext @ SV31 @ ( sK8_Y0 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK9_SY28 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) )
| ~ ( iext @ SV36 @ ( sK9_SY28 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK10_SY30 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) ) ) )
= $true )
| ( ( ~ ( ip @ SV29 )
| ~ ( ip @ SV31 )
| ~ ( ip @ SV36 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
= $true )
| ( ( iext @ uri_rdf_first @ SV34 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV34 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[430]) ).
thf(439,plain,
! [SV30: $i,SV31: $i,SV34: $i,SV36: $i,SV29: $i] :
( ( ( ~ ( iext @ SV29 @ ( sK8_Y0 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK10_SY30 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) ) )
= $true )
| ( ( ~ ( ip @ SV29 )
| ~ ( ip @ SV31 )
| ~ ( ip @ SV36 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
= $true )
| ( ( iext @ uri_rdf_first @ SV34 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV34 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[431]) ).
thf(440,plain,
! [SV38: $i,SV41: $i,SV31: $i,SV30: $i,SV29: $i] :
( ( ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
= $false )
| ( ( ! [SY160: $i,SY161: $i,SY162: $i] :
( ~ ( iext @ SV31 @ SY160 @ SY161 )
| ~ ( iext @ SV41 @ SY161 @ SY162 )
| ( iext @ SV29 @ SY160 @ SY162 ) ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV38 @ SV41 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ SV38 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[432]) ).
thf(441,plain,
! [SV29: $i,SV50: $i,SV31: $i,SV30: $i] :
( ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV30 @ SV50 ) )
= $true )
| ( ( ! [SY166: $i] :
~ ( iext @ uri_rdf_first @ SV50 @ SY166 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV50 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV29 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[433]) ).
thf(442,plain,
! [SV29: $i,SV51: $i,SV31: $i,SV30: $i] :
( ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV30 @ SV51 ) )
= $true )
| ( ( ! [SY167: $i] :
~ ( iext @ uri_rdf_first @ SV51 @ SY167 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[434]) ).
thf(443,plain,
! [SV29: $i,SV31: $i,SV30: $i,SV45: $i,SV44: $i] :
( ( ( iext @ uri_rdf_first @ SV44 @ SV45 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ SV44 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV44 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV45 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[435]) ).
thf(444,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY21 @ sK4_SY24 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[436]) ).
thf(445,plain,
( ( iext @ uri_rdf_first @ sK4_SY24 @ sK5_SY26 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[437]) ).
thf(446,plain,
! [SV29: $i,SV30: $i,SV34: $i,SV36: $i,SV31: $i] :
( ( ( ~ ( iext @ SV31 @ ( sK8_Y0 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK9_SY28 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) )
| ~ ( iext @ SV36 @ ( sK9_SY28 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK10_SY30 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) ) )
= $false )
| ( ( ~ ( ip @ SV29 )
| ~ ( ip @ SV31 )
| ~ ( ip @ SV36 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
= $true )
| ( ( iext @ uri_rdf_first @ SV34 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV34 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[438]) ).
thf(447,plain,
! [SV30: $i,SV31: $i,SV34: $i,SV36: $i,SV29: $i] :
( ( ( iext @ SV29 @ ( sK8_Y0 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK10_SY30 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) )
= $false )
| ( ( ~ ( ip @ SV29 )
| ~ ( ip @ SV31 )
| ~ ( ip @ SV36 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
= $true )
| ( ( iext @ uri_rdf_first @ SV34 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV34 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[439]) ).
thf(448,plain,
! [SV38: $i,SV30: $i,SV29: $i,SV41: $i,SV52: $i,SV31: $i] :
( ( ( ! [SY168: $i,SY169: $i] :
( ~ ( iext @ SV31 @ SV52 @ SY168 )
| ~ ( iext @ SV41 @ SY168 @ SY169 )
| ( iext @ SV29 @ SV52 @ SY169 ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_first @ SV38 @ SV41 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ SV38 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[440]) ).
thf(449,plain,
! [SV29: $i,SV31: $i,SV50: $i,SV30: $i] :
( ( ( iext @ uri_rdf_rest @ SV30 @ SV50 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( ! [SY166: $i] :
~ ( iext @ uri_rdf_first @ SV50 @ SY166 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV50 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV29 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[441]) ).
thf(450,plain,
! [SV29: $i,SV31: $i,SV51: $i,SV30: $i] :
( ( ( iext @ uri_rdf_rest @ SV30 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( ! [SY167: $i] :
~ ( iext @ uri_rdf_first @ SV51 @ SY167 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[442]) ).
thf(451,plain,
! [SV29: $i,SV45: $i,SV31: $i,SV30: $i,SV44: $i] :
( ( ( iext @ uri_rdf_rest @ SV44 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV45 )
= $false )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV45 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[443]) ).
thf(452,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY21 @ sK4_SY24 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[444]) ).
thf(453,plain,
! [SV29: $i,SV30: $i,SV34: $i,SV36: $i,SV31: $i] :
( ( ( ~ ( iext @ SV31 @ ( sK8_Y0 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK9_SY28 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) ) )
= $false )
| ( ( ~ ( ip @ SV29 )
| ~ ( ip @ SV31 )
| ~ ( ip @ SV36 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
= $true )
| ( ( iext @ uri_rdf_first @ SV34 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV34 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[446]) ).
thf(454,plain,
! [SV29: $i,SV30: $i,SV31: $i,SV34: $i,SV36: $i] :
( ( ( ~ ( iext @ SV36 @ ( sK9_SY28 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK10_SY30 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) ) )
= $false )
| ( ( ~ ( ip @ SV29 )
| ~ ( ip @ SV31 )
| ~ ( ip @ SV36 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
= $true )
| ( ( iext @ uri_rdf_first @ SV34 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV34 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[446]) ).
thf(455,plain,
! [SV30: $i,SV34: $i,SV36: $i,SV31: $i,SV29: $i] :
( ( ( ~ ( ip @ SV29 )
| ~ ( ip @ SV31 ) )
= $true )
| ( ( ~ ( ip @ SV36 ) )
= $true )
| ( ( iext @ SV29 @ ( sK8_Y0 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK10_SY30 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
= $true )
| ( ( iext @ uri_rdf_first @ SV34 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV34 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[447]) ).
thf(456,plain,
! [SV38: $i,SV30: $i,SV29: $i,SV41: $i,SV53: $i,SV52: $i,SV31: $i] :
( ( ( ! [SY170: $i] :
( ~ ( iext @ SV31 @ SV52 @ SV53 )
| ~ ( iext @ SV41 @ SV53 @ SY170 )
| ( iext @ SV29 @ SV52 @ SY170 ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_first @ SV38 @ SV41 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ SV38 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[448]) ).
thf(457,plain,
! [SV29: $i,SV31: $i,SV30: $i,SV54: $i,SV50: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV50 @ SV54 ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ SV50 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV50 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV29 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[449]) ).
thf(458,plain,
! [SV29: $i,SV31: $i,SV30: $i,SV55: $i,SV51: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV51 @ SV55 ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ SV51 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV31 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[450]) ).
thf(459,plain,
! [SV31: $i,SV44: $i,SV45: $i,SV30: $i,SV29: $i] :
( ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 ) )
= $true )
| ( ( ip @ SV45 )
= $true )
| ( ( iext @ uri_rdf_first @ SV44 @ SV45 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[451]) ).
thf(460,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[452]) ).
thf(461,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK3_SY21 @ sK4_SY24 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[452]) ).
thf(462,plain,
! [SV29: $i,SV30: $i,SV34: $i,SV36: $i,SV31: $i] :
( ( ( iext @ SV31 @ ( sK8_Y0 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK9_SY28 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) )
= $true )
| ( ( ~ ( ip @ SV29 )
| ~ ( ip @ SV31 )
| ~ ( ip @ SV36 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
= $true )
| ( ( iext @ uri_rdf_first @ SV34 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV34 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[453]) ).
thf(463,plain,
! [SV29: $i,SV30: $i,SV31: $i,SV34: $i,SV36: $i] :
( ( ( iext @ SV36 @ ( sK9_SY28 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK10_SY30 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) )
= $true )
| ( ( ~ ( ip @ SV29 )
| ~ ( ip @ SV31 )
| ~ ( ip @ SV36 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
= $true )
| ( ( iext @ uri_rdf_first @ SV34 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV34 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[454]) ).
thf(464,plain,
! [SV30: $i,SV34: $i,SV36: $i,SV31: $i,SV29: $i] :
( ( ( ~ ( ip @ SV29 ) )
= $true )
| ( ( ~ ( ip @ SV31 ) )
= $true )
| ( ( ~ ( ip @ SV36 ) )
= $true )
| ( ( iext @ SV29 @ ( sK8_Y0 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK10_SY30 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
= $true )
| ( ( iext @ uri_rdf_first @ SV34 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV34 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[455]) ).
thf(465,plain,
! [SV38: $i,SV30: $i,SV29: $i,SV56: $i,SV41: $i,SV53: $i,SV52: $i,SV31: $i] :
( ( ( ~ ( iext @ SV31 @ SV52 @ SV53 )
| ~ ( iext @ SV41 @ SV53 @ SV56 )
| ( iext @ SV29 @ SV52 @ SV56 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_first @ SV38 @ SV41 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ SV38 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[456]) ).
thf(466,plain,
! [SV29: $i,SV31: $i,SV30: $i,SV54: $i,SV50: $i] :
( ( ( iext @ uri_rdf_first @ SV50 @ SV54 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ SV50 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV50 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV29 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[457]) ).
thf(467,plain,
! [SV29: $i,SV31: $i,SV30: $i,SV55: $i,SV51: $i] :
( ( ( iext @ uri_rdf_first @ SV51 @ SV55 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ SV51 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[458]) ).
thf(468,plain,
! [SV31: $i,SV44: $i,SV45: $i,SV30: $i,SV29: $i] :
( ( ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
= $false )
| ( ( ip @ SV45 )
= $true )
| ( ( iext @ uri_rdf_first @ SV44 @ SV45 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[459]) ).
thf(469,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[460]) ).
thf(470,plain,
( ( iext @ uri_rdf_rest @ sK3_SY21 @ sK4_SY24 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[461]) ).
thf(471,plain,
! [SV30: $i,SV34: $i,SV36: $i,SV31: $i,SV29: $i] :
( ( ( ~ ( ip @ SV29 )
| ~ ( ip @ SV31 ) )
= $true )
| ( ( ~ ( ip @ SV36 ) )
= $true )
| ( ( iext @ SV31 @ ( sK8_Y0 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK9_SY28 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
= $true )
| ( ( iext @ uri_rdf_first @ SV34 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV34 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[462]) ).
thf(472,plain,
! [SV30: $i,SV34: $i,SV36: $i,SV31: $i,SV29: $i] :
( ( ( ~ ( ip @ SV29 )
| ~ ( ip @ SV31 ) )
= $true )
| ( ( ~ ( ip @ SV36 ) )
= $true )
| ( ( iext @ SV36 @ ( sK9_SY28 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK10_SY30 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
= $true )
| ( ( iext @ uri_rdf_first @ SV34 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV34 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[463]) ).
thf(473,plain,
! [SV30: $i,SV34: $i,SV36: $i,SV31: $i,SV29: $i] :
( ( ( ip @ SV29 )
= $false )
| ( ( ~ ( ip @ SV31 ) )
= $true )
| ( ( ~ ( ip @ SV36 ) )
= $true )
| ( ( iext @ SV29 @ ( sK8_Y0 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK10_SY30 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
= $true )
| ( ( iext @ uri_rdf_first @ SV34 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV34 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[464]) ).
thf(474,plain,
! [SV38: $i,SV30: $i,SV29: $i,SV56: $i,SV41: $i,SV53: $i,SV52: $i,SV31: $i] :
( ( ( ~ ( iext @ SV31 @ SV52 @ SV53 )
| ~ ( iext @ SV41 @ SV53 @ SV56 ) )
= $true )
| ( ( iext @ SV29 @ SV52 @ SV56 )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_first @ SV38 @ SV41 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ SV38 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[465]) ).
thf(475,plain,
! [SV29: $i,SV54: $i,SV31: $i,SV30: $i,SV50: $i] :
( ( ( iext @ uri_rdf_rest @ SV50 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ SV50 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV50 @ SV54 )
= $false )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV29 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[466]) ).
thf(476,plain,
! [SV29: $i,SV55: $i,SV31: $i,SV30: $i,SV51: $i] :
( ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV51 @ SV55 )
= $false )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
| ( ip @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[467]) ).
thf(477,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[469]) ).
thf(478,plain,
! [SV30: $i,SV34: $i,SV36: $i,SV31: $i,SV29: $i] :
( ( ( ~ ( ip @ SV29 ) )
= $true )
| ( ( ~ ( ip @ SV31 ) )
= $true )
| ( ( ~ ( ip @ SV36 ) )
= $true )
| ( ( iext @ SV31 @ ( sK8_Y0 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK9_SY28 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
= $true )
| ( ( iext @ uri_rdf_first @ SV34 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV34 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[471]) ).
thf(479,plain,
! [SV30: $i,SV34: $i,SV36: $i,SV31: $i,SV29: $i] :
( ( ( ~ ( ip @ SV29 ) )
= $true )
| ( ( ~ ( ip @ SV31 ) )
= $true )
| ( ( ~ ( ip @ SV36 ) )
= $true )
| ( ( iext @ SV36 @ ( sK9_SY28 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK10_SY30 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
= $true )
| ( ( iext @ uri_rdf_first @ SV34 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV34 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[472]) ).
thf(480,plain,
! [SV30: $i,SV34: $i,SV36: $i,SV29: $i,SV31: $i] :
( ( ( ip @ SV31 )
= $false )
| ( ( ip @ SV29 )
= $false )
| ( ( ~ ( ip @ SV36 ) )
= $true )
| ( ( iext @ SV29 @ ( sK8_Y0 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK10_SY30 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
= $true )
| ( ( iext @ uri_rdf_first @ SV34 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV34 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[473]) ).
thf(481,plain,
! [SV38: $i,SV30: $i,SV29: $i,SV56: $i,SV41: $i,SV53: $i,SV52: $i,SV31: $i] :
( ( ( ~ ( iext @ SV31 @ SV52 @ SV53 ) )
= $true )
| ( ( ~ ( iext @ SV41 @ SV53 @ SV56 ) )
= $true )
| ( ( iext @ SV29 @ SV52 @ SV56 )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_first @ SV38 @ SV41 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ SV38 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[474]) ).
thf(482,plain,
! [SV31: $i,SV54: $i,SV50: $i,SV30: $i,SV29: $i] :
( ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 ) )
= $true )
| ( ( ip @ SV29 )
= $true )
| ( ( iext @ uri_rdf_first @ SV50 @ SV54 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ SV50 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV50 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[475]) ).
thf(483,plain,
! [SV55: $i,SV51: $i,SV31: $i,SV30: $i,SV29: $i] :
( ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 ) )
= $true )
| ( ( ip @ SV31 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV55 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[476]) ).
thf(484,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[477]) ).
thf(485,plain,
( ( ~ ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[477]) ).
thf(486,plain,
! [SV30: $i,SV34: $i,SV36: $i,SV31: $i,SV29: $i] :
( ( ( ip @ SV29 )
= $false )
| ( ( ~ ( ip @ SV31 ) )
= $true )
| ( ( ~ ( ip @ SV36 ) )
= $true )
| ( ( iext @ SV31 @ ( sK8_Y0 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK9_SY28 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
= $true )
| ( ( iext @ uri_rdf_first @ SV34 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV34 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[478]) ).
thf(487,plain,
! [SV30: $i,SV34: $i,SV36: $i,SV31: $i,SV29: $i] :
( ( ( ip @ SV29 )
= $false )
| ( ( ~ ( ip @ SV31 ) )
= $true )
| ( ( ~ ( ip @ SV36 ) )
= $true )
| ( ( iext @ SV36 @ ( sK9_SY28 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK10_SY30 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
= $true )
| ( ( iext @ uri_rdf_first @ SV34 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV34 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[479]) ).
thf(488,plain,
! [SV30: $i,SV34: $i,SV31: $i,SV29: $i,SV36: $i] :
( ( ( ip @ SV36 )
= $false )
| ( ( ip @ SV29 )
= $false )
| ( ( ip @ SV31 )
= $false )
| ( ( iext @ SV29 @ ( sK8_Y0 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK10_SY30 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
= $true )
| ( ( iext @ uri_rdf_first @ SV34 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV34 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[480]) ).
thf(489,plain,
! [SV38: $i,SV30: $i,SV29: $i,SV56: $i,SV41: $i,SV53: $i,SV52: $i,SV31: $i] :
( ( ( iext @ SV31 @ SV52 @ SV53 )
= $false )
| ( ( ~ ( iext @ SV41 @ SV53 @ SV56 ) )
= $true )
| ( ( iext @ SV29 @ SV52 @ SV56 )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_first @ SV38 @ SV41 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ SV38 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[481]) ).
thf(490,plain,
! [SV31: $i,SV54: $i,SV50: $i,SV30: $i,SV29: $i] :
( ( ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
= $false )
| ( ( ip @ SV29 )
= $true )
| ( ( iext @ uri_rdf_first @ SV50 @ SV54 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ SV50 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV50 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[482]) ).
thf(491,plain,
! [SV55: $i,SV51: $i,SV31: $i,SV30: $i,SV29: $i] :
( ( ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
= $false )
| ( ( ip @ SV31 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV55 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[483]) ).
thf(492,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[484]) ).
thf(493,plain,
( ( iext @ uri_rdf_first @ sK3_SY21 @ uri_ex_hasUncle )
= $true ),
inference(extcnf_not_neg,[status(thm)],[485]) ).
thf(494,plain,
! [SV30: $i,SV34: $i,SV36: $i,SV29: $i,SV31: $i] :
( ( ( ip @ SV31 )
= $false )
| ( ( ip @ SV29 )
= $false )
| ( ( ~ ( ip @ SV36 ) )
= $true )
| ( ( iext @ SV31 @ ( sK8_Y0 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK9_SY28 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
= $true )
| ( ( iext @ uri_rdf_first @ SV34 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV34 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[486]) ).
thf(495,plain,
! [SV30: $i,SV34: $i,SV36: $i,SV29: $i,SV31: $i] :
( ( ( ip @ SV31 )
= $false )
| ( ( ip @ SV29 )
= $false )
| ( ( ~ ( ip @ SV36 ) )
= $true )
| ( ( iext @ SV36 @ ( sK9_SY28 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK10_SY30 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
= $true )
| ( ( iext @ uri_rdf_first @ SV34 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV34 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[487]) ).
thf(496,plain,
! [SV38: $i,SV30: $i,SV29: $i,SV52: $i,SV31: $i,SV56: $i,SV53: $i,SV41: $i] :
( ( ( iext @ SV41 @ SV53 @ SV56 )
= $false )
| ( ( iext @ SV31 @ SV52 @ SV53 )
= $false )
| ( ( iext @ SV29 @ SV52 @ SV56 )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_first @ SV38 @ SV41 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ SV38 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[489]) ).
thf(497,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[492]) ).
thf(498,plain,
! [SV30: $i,SV34: $i,SV31: $i,SV29: $i,SV36: $i] :
( ( ( ip @ SV36 )
= $false )
| ( ( ip @ SV29 )
= $false )
| ( ( ip @ SV31 )
= $false )
| ( ( iext @ SV31 @ ( sK8_Y0 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK9_SY28 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
= $true )
| ( ( iext @ uri_rdf_first @ SV34 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV34 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[494]) ).
thf(499,plain,
! [SV30: $i,SV34: $i,SV31: $i,SV29: $i,SV36: $i] :
( ( ( ip @ SV36 )
= $false )
| ( ( ip @ SV29 )
= $false )
| ( ( ip @ SV31 )
= $false )
| ( ( iext @ SV36 @ ( sK9_SY28 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) @ ( sK10_SY30 @ SV36 @ SV34 @ SV31 @ SV30 @ SV29 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV29 @ SV30 )
= $true )
| ( ( iext @ uri_rdf_first @ SV34 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV34 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[495]) ).
thf(500,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[497]) ).
thf(501,plain,
( ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[497]) ).
thf(502,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[500]) ).
thf(503,plain,
( ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sK3_SY21 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[501]) ).
thf(504,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[502]) ).
thf(505,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[504]) ).
thf(506,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[504]) ).
thf(507,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[505]) ).
thf(508,plain,
( ( iext @ uri_rdf_rest @ sK2_SY17 @ uri_rdf_nil )
= $true ),
inference(extcnf_not_neg,[status(thm)],[506]) ).
thf(509,plain,
( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[507]) ).
thf(510,plain,
( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[509]) ).
thf(511,plain,
( ( ~ ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[509]) ).
thf(512,plain,
( ( ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[510]) ).
thf(513,plain,
( ( iext @ uri_rdf_first @ sK2_SY17 @ uri_ex_hasFather )
= $true ),
inference(extcnf_not_neg,[status(thm)],[511]) ).
thf(514,plain,
( ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[512]) ).
thf(515,plain,
( ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[514]) ).
thf(516,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[514]) ).
thf(517,plain,
( ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[515]) ).
thf(518,plain,
( ( iext @ uri_rdf_rest @ sK1_BNODE_l11 @ sK2_SY17 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[516]) ).
thf(519,plain,
( ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[517]) ).
thf(520,plain,
( ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[519]) ).
thf(521,plain,
( ( ~ ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[519]) ).
thf(522,plain,
( ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sK1_BNODE_l11 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[520]) ).
thf(523,plain,
( ( iext @ uri_rdf_first @ sK1_BNODE_l11 @ uri_ex_hasCousin )
= $true ),
inference(extcnf_not_neg,[status(thm)],[521]) ).
thf(524,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[278,523,522,518,513,508,503,499,498,496,493,491,490,488,470,468,445,423,416,415,405,395,386,377,376,360,329,306,289]) ).
thf(525,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[524,270]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWB025+2 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 1 07:50:56 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.37
% 0.13/0.37 No.of.Axioms: 3
% 0.13/0.37
% 0.13/0.37 Length.of.Defs: 0
% 0.13/0.37
% 0.13/0.37 Contains.Choice.Funs: false
% 0.13/0.39 (rf:0,axioms:3,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:5,loop_count:0,foatp_calls:0,translation:fof_full)........................................
% 0.58/0.81
% 0.58/0.81 ********************************
% 0.58/0.81 * All subproblems solved! *
% 0.58/0.81 ********************************
% 0.58/0.81 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:3,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:524,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.76/0.94
% 0.76/0.94 %**** Beginning of derivation protocol ****
% 0.76/0.94 % SZS output start CNFRefutation
% See solution above
% 0.76/0.95
% 0.76/0.95 %**** End of derivation protocol ****
% 0.76/0.95 %**** no. of clauses in derivation: 525 ****
% 0.76/0.95 %**** clause counter: 524 ****
% 0.76/0.95
% 0.76/0.95 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:3,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:524,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------