TSTP Solution File: SWB027+2 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SWB027+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 : n026.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 19:13:33 EDT 2022
% Result : Theorem 0.39s 0.65s
% Output : CNFRefutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 30
% Syntax : Number of formulae : 327 ( 139 unt; 23 typ; 0 def)
% Number of atoms : 3663 ( 900 equ; 0 cnn)
% Maximal formula atoms : 11 ( 12 avg)
% Number of connectives : 9565 (1610 ~;1579 |; 76 &;6282 @)
% ( 12 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 28 ( 28 >; 0 *; 0 +; 0 <<)
% Number of symbols : 26 ( 23 usr; 14 con; 0-5 aty)
% Number of variables : 1263 ( 0 ^1257 !; 6 ?;1263 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_icext,type,
icext: $i > $i > $o ).
thf(tp_iext,type,
iext: $i > $i > $i > $o ).
thf(tp_ip,type,
ip: $i > $o ).
thf(tp_sK10_SY30,type,
sK10_SY30: $i > $i > $i > $i > $i > $i ).
thf(tp_sK11_SY32,type,
sK11_SY32: $i > $i > $i > $i > $i > $i ).
thf(tp_sK1_BNODE_l1,type,
sK1_BNODE_l1: $i ).
thf(tp_sK2_SY23,type,
sK2_SY23: $i ).
thf(tp_sK3_SY25,type,
sK3_SY25: $i ).
thf(tp_sK4_X,type,
sK4_X: $i > $i > $i ).
thf(tp_sK5_SY26,type,
sK5_SY26: $i > $i > $i ).
thf(tp_sK6_X1,type,
sK6_X1: $i > $i ).
thf(tp_sK7_SY27,type,
sK7_SY27: $i > $i ).
thf(tp_sK8_SY29,type,
sK8_SY29: $i > $i ).
thf(tp_sK9_Y0,type,
sK9_Y0: $i > $i > $i > $i > $i > $i ).
thf(tp_uri_ex_p,type,
uri_ex_p: $i ).
thf(tp_uri_owl_InverseFunctionalProperty,type,
uri_owl_InverseFunctionalProperty: $i ).
thf(tp_uri_owl_inverseOf,type,
uri_owl_inverseOf: $i ).
thf(tp_uri_owl_propertyChainAxiom,type,
uri_owl_propertyChainAxiom: $i ).
thf(tp_uri_owl_sameAs,type,
uri_owl_sameAs: $i ).
thf(tp_uri_rdf_first,type,
uri_rdf_first: $i ).
thf(tp_uri_rdf_nil,type,
uri_rdf_nil: $i ).
thf(tp_uri_rdf_rest,type,
uri_rdf_rest: $i ).
thf(tp_uri_rdf_type,type,
uri_rdf_type: $i ).
thf(1,axiom,
? [BNODE_l1: $i,BNODE_l2: $i,BNODE_v: $i] :
( ( iext @ uri_owl_propertyChainAxiom @ uri_owl_sameAs @ BNODE_l1 )
& ( iext @ uri_rdf_first @ BNODE_l1 @ uri_ex_p )
& ( iext @ uri_rdf_rest @ BNODE_l1 @ BNODE_l2 )
& ( iext @ uri_rdf_first @ BNODE_l2 @ BNODE_v )
& ( iext @ uri_rdf_rest @ BNODE_l2 @ uri_rdf_nil )
& ( iext @ uri_owl_inverseOf @ BNODE_v @ uri_ex_p ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_027_Inferred_Property_Characteristics_II) ).
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] :
( ( icext @ uri_owl_InverseFunctionalProperty @ P )
<=> ( ( ip @ P )
& ! [X1: $i,X2: $i,Y: $i] :
( ( ( iext @ P @ X1 @ Y )
& ( iext @ P @ X2 @ Y ) )
=> ( X1 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_char_inversefunctional) ).
thf(4,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(5,axiom,
! [X: $i,Y: $i] :
( ( iext @ uri_owl_sameAs @ X @ Y )
<=> ( X = Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_sameas) ).
thf(6,axiom,
! [X: $i,C: $i] :
( ( iext @ uri_rdf_type @ X @ C )
<=> ( icext @ C @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).
thf(7,conjecture,
iext @ uri_rdf_type @ uri_ex_p @ uri_owl_InverseFunctionalProperty,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_027_Inferred_Property_Characteristics_II) ).
thf(8,negated_conjecture,
( ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_InverseFunctionalProperty )
= $false ),
inference(negate_conjecture,[status(cth)],[7]) ).
thf(9,plain,
( ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_InverseFunctionalProperty )
= $false ),
inference(unfold_def,[status(thm)],[8]) ).
thf(10,plain,
( ( ? [BNODE_l1: $i,BNODE_l2: $i,BNODE_v: $i] :
( ( iext @ uri_owl_propertyChainAxiom @ uri_owl_sameAs @ BNODE_l1 )
& ( iext @ uri_rdf_first @ BNODE_l1 @ uri_ex_p )
& ( iext @ uri_rdf_rest @ BNODE_l1 @ BNODE_l2 )
& ( iext @ uri_rdf_first @ BNODE_l2 @ BNODE_v )
& ( iext @ uri_rdf_rest @ BNODE_l2 @ uri_rdf_nil )
& ( iext @ uri_owl_inverseOf @ BNODE_v @ uri_ex_p ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(11,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(12,plain,
( ( ! [P: $i] :
( ( icext @ uri_owl_InverseFunctionalProperty @ P )
<=> ( ( ip @ P )
& ! [X1: $i,X2: $i,Y: $i] :
( ( ( iext @ P @ X1 @ Y )
& ( iext @ P @ X2 @ Y ) )
=> ( X1 = X2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(13,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)],[4]) ).
thf(14,plain,
( ( ! [X: $i,Y: $i] :
( ( iext @ uri_owl_sameAs @ X @ Y )
<=> ( X = Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(15,plain,
( ( ! [X: $i,C: $i] :
( ( iext @ uri_rdf_type @ X @ C )
<=> ( icext @ C @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(16,plain,
( ( ~ ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_InverseFunctionalProperty ) )
= $true ),
inference(polarity_switch,[status(thm)],[9]) ).
thf(17,plain,
( ( ( iext @ uri_owl_propertyChainAxiom @ uri_owl_sameAs @ sK1_BNODE_l1 )
& ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_ex_p )
& ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY23 )
& ( iext @ uri_rdf_first @ sK2_SY23 @ sK3_SY25 )
& ( iext @ uri_rdf_rest @ sK2_SY23 @ uri_rdf_nil )
& ( iext @ uri_owl_inverseOf @ sK3_SY25 @ uri_ex_p ) )
= $true ),
inference(extcnf_combined,[status(esa)],[10]) ).
thf(18,plain,
( ( ! [P1: $i,P2: $i] :
( ( ( ~ ( iext @ P1 @ ( sK4_X @ P2 @ P1 ) @ ( sK5_SY26 @ P2 @ P1 ) )
| ~ ( iext @ P2 @ ( sK5_SY26 @ P2 @ P1 ) @ ( sK4_X @ P2 @ P1 ) ) )
& ( ( iext @ P1 @ ( sK4_X @ P2 @ P1 ) @ ( sK5_SY26 @ P2 @ P1 ) )
| ( iext @ P2 @ ( sK5_SY26 @ P2 @ P1 ) @ ( sK4_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)],[11]) ).
thf(19,plain,
( ( ! [P: $i] :
( ( ( iext @ P @ ( sK6_X1 @ P ) @ ( sK8_SY29 @ P ) )
& ( iext @ P @ ( sK7_SY27 @ P ) @ ( sK8_SY29 @ P ) )
& ( ( sK6_X1 @ P )
!= ( sK7_SY27 @ P ) ) )
| ~ ( ip @ P )
| ( icext @ uri_owl_InverseFunctionalProperty @ P ) )
& ! [P: $i] :
( ~ ( icext @ uri_owl_InverseFunctionalProperty @ P )
| ! [X1: $i,X2: $i] :
( ! [Y: $i] :
( ~ ( iext @ P @ X1 @ Y )
| ~ ( iext @ P @ X2 @ Y ) )
| ( X1 = X2 ) ) )
& ! [P: $i] :
( ~ ( icext @ uri_owl_InverseFunctionalProperty @ P )
| ( ip @ P ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[12]) ).
thf(20,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 @ ( sK9_Y0 @ P2 @ S2 @ P1 @ S1 @ P ) @ ( sK10_SY30 @ P2 @ S2 @ P1 @ S1 @ P ) )
& ( iext @ P2 @ ( sK10_SY30 @ P2 @ S2 @ P1 @ S1 @ P ) @ ( sK11_SY32 @ P2 @ S2 @ P1 @ S1 @ P ) )
& ~ ( iext @ P @ ( sK9_Y0 @ P2 @ S2 @ P1 @ S1 @ P ) @ ( sK11_SY32 @ 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)],[13]) ).
thf(21,plain,
( ( ! [X: $i,Y: $i] :
( ( X != Y )
| ( iext @ uri_owl_sameAs @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ~ ( iext @ uri_owl_sameAs @ X @ Y )
| ( X = Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[14]) ).
thf(22,plain,
( ( ! [X: $i,C: $i] :
( ~ ( icext @ C @ X )
| ( iext @ uri_rdf_type @ X @ C ) )
& ! [X: $i,C: $i] :
( ~ ( iext @ uri_rdf_type @ X @ C )
| ( icext @ C @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[15]) ).
thf(23,plain,
( ( ! [X: $i,C: $i] :
( ~ ( icext @ C @ X )
| ( iext @ uri_rdf_type @ X @ C ) )
& ! [X: $i,C: $i] :
( ~ ( iext @ uri_rdf_type @ X @ C )
| ( icext @ C @ X ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(24,plain,
( ( ! [X: $i,Y: $i] :
( ( X != Y )
| ( iext @ uri_owl_sameAs @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ~ ( iext @ uri_owl_sameAs @ X @ Y )
| ( X = Y ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(25,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 @ ( sK9_Y0 @ P2 @ S2 @ P1 @ S1 @ P ) @ ( sK10_SY30 @ P2 @ S2 @ P1 @ S1 @ P ) )
& ( iext @ P2 @ ( sK10_SY30 @ P2 @ S2 @ P1 @ S1 @ P ) @ ( sK11_SY32 @ P2 @ S2 @ P1 @ S1 @ P ) )
& ~ ( iext @ P @ ( sK9_Y0 @ P2 @ S2 @ P1 @ S1 @ P ) @ ( sK11_SY32 @ 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)],[20]) ).
thf(26,plain,
( ( ! [P: $i] :
( ( ( iext @ P @ ( sK6_X1 @ P ) @ ( sK8_SY29 @ P ) )
& ( iext @ P @ ( sK7_SY27 @ P ) @ ( sK8_SY29 @ P ) )
& ( ( sK6_X1 @ P )
!= ( sK7_SY27 @ P ) ) )
| ~ ( ip @ P )
| ( icext @ uri_owl_InverseFunctionalProperty @ P ) )
& ! [P: $i] :
( ~ ( icext @ uri_owl_InverseFunctionalProperty @ P )
| ! [X1: $i,X2: $i] :
( ! [Y: $i] :
( ~ ( iext @ P @ X1 @ Y )
| ~ ( iext @ P @ X2 @ Y ) )
| ( X1 = X2 ) ) )
& ! [P: $i] :
( ~ ( icext @ uri_owl_InverseFunctionalProperty @ P )
| ( ip @ P ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(27,plain,
( ( ! [P1: $i,P2: $i] :
( ( ( ~ ( iext @ P1 @ ( sK4_X @ P2 @ P1 ) @ ( sK5_SY26 @ P2 @ P1 ) )
| ~ ( iext @ P2 @ ( sK5_SY26 @ P2 @ P1 ) @ ( sK4_X @ P2 @ P1 ) ) )
& ( ( iext @ P1 @ ( sK4_X @ P2 @ P1 ) @ ( sK5_SY26 @ P2 @ P1 ) )
| ( iext @ P2 @ ( sK5_SY26 @ P2 @ P1 ) @ ( sK4_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)],[18]) ).
thf(28,plain,
( ( ( iext @ uri_owl_propertyChainAxiom @ uri_owl_sameAs @ sK1_BNODE_l1 )
& ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_ex_p )
& ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY23 )
& ( iext @ uri_rdf_first @ sK2_SY23 @ sK3_SY25 )
& ( iext @ uri_rdf_rest @ sK2_SY23 @ uri_rdf_nil )
& ( iext @ uri_owl_inverseOf @ sK3_SY25 @ uri_ex_p ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(29,plain,
( ( ~ ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_InverseFunctionalProperty ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(30,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( ~ ~ ( ~ ( iext @ SX0 @ ( sK6_X1 @ SX0 ) @ ( sK8_SY29 @ SX0 ) )
| ~ ( iext @ SX0 @ ( sK7_SY27 @ SX0 ) @ ( sK8_SY29 @ SX0 ) ) )
| ~ ( ( ( sK6_X1 @ SX0 )
!= ( sK7_SY27 @ SX0 ) ) ) )
| ~ ( ip @ SX0 )
| ( icext @ uri_owl_InverseFunctionalProperty @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SX0 )
| ! [SX1: $i,SX2: $i] :
( ! [SX3: $i] :
( ~ ( iext @ SX0 @ SX1 @ SX3 )
| ~ ( iext @ SX0 @ SX2 @ SX3 ) )
| ( SX1 = SX2 ) ) )
| ~ ! [SX0: $i] :
( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SX0 )
| ( ip @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(31,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( iext @ SX0 @ ( sK4_X @ SX1 @ SX0 ) @ ( sK5_SY26 @ SX1 @ SX0 ) )
| ~ ( iext @ SX1 @ ( sK5_SY26 @ SX1 @ SX0 ) @ ( sK4_X @ SX1 @ SX0 ) ) )
| ~ ( ( iext @ SX0 @ ( sK4_X @ SX1 @ SX0 ) @ ( sK5_SY26 @ SX1 @ SX0 ) )
| ( iext @ SX1 @ ( sK5_SY26 @ SX1 @ SX0 ) @ ( sK4_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)],[27]) ).
thf(32,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( iext @ uri_owl_sameAs @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_sameAs @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(33,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 @ ( sK9_Y0 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( sK10_SY30 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ~ ( iext @ SX4 @ ( sK10_SY30 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( sK11_SY32 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ~ ( iext @ SX0 @ ( sK9_Y0 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( sK11_SY32 @ 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)],[25]) ).
thf(34,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( icext @ SX1 @ SX0 )
| ( iext @ uri_rdf_type @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
| ( icext @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(35,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_owl_sameAs @ sK1_BNODE_l1 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_ex_p ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY23 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY23 @ sK3_SY25 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY23 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_inverseOf @ sK3_SY25 @ uri_ex_p ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(36,plain,
( ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_InverseFunctionalProperty )
= $false ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(37,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ~ ~ ( ~ ( iext @ SX0 @ ( sK6_X1 @ SX0 ) @ ( sK8_SY29 @ SX0 ) )
| ~ ( iext @ SX0 @ ( sK7_SY27 @ SX0 ) @ ( sK8_SY29 @ SX0 ) ) )
| ~ ( ( ( sK6_X1 @ SX0 )
!= ( sK7_SY27 @ SX0 ) ) ) )
| ~ ( ip @ SX0 )
| ( icext @ uri_owl_InverseFunctionalProperty @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SX0 )
| ! [SX1: $i,SX2: $i] :
( ! [SX3: $i] :
( ~ ( iext @ SX0 @ SX1 @ SX3 )
| ~ ( iext @ SX0 @ SX2 @ SX3 ) )
| ( SX1 = SX2 ) ) )
| ~ ! [SX0: $i] :
( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SX0 )
| ( ip @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(38,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( iext @ SX0 @ ( sK4_X @ SX1 @ SX0 ) @ ( sK5_SY26 @ SX1 @ SX0 ) )
| ~ ( iext @ SX1 @ ( sK5_SY26 @ SX1 @ SX0 ) @ ( sK4_X @ SX1 @ SX0 ) ) )
| ~ ( ( iext @ SX0 @ ( sK4_X @ SX1 @ SX0 ) @ ( sK5_SY26 @ SX1 @ SX0 ) )
| ( iext @ SX1 @ ( sK5_SY26 @ SX1 @ SX0 ) @ ( sK4_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)],[31]) ).
thf(39,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( iext @ uri_owl_sameAs @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_sameAs @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(40,plain,
! [SV1: $i] :
( ( ! [SY33: $i,SY34: $i] :
~ ( ~ ! [SY35: $i,SY36: $i] :
( ~ ( iext @ uri_rdf_first @ SY33 @ SY34 )
| ~ ( iext @ uri_rdf_rest @ SY33 @ SY35 )
| ~ ( iext @ uri_rdf_first @ SY35 @ SY36 )
| ~ ( iext @ uri_rdf_rest @ SY35 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( iext @ SY34 @ ( sK9_Y0 @ SY36 @ SY35 @ SY34 @ SY33 @ SV1 ) @ ( sK10_SY30 @ SY36 @ SY35 @ SY34 @ SY33 @ SV1 ) )
| ~ ( iext @ SY36 @ ( sK10_SY30 @ SY36 @ SY35 @ SY34 @ SY33 @ SV1 ) @ ( sK11_SY32 @ SY36 @ SY35 @ SY34 @ SY33 @ SV1 ) ) )
| ~ ~ ( iext @ SV1 @ ( sK9_Y0 @ SY36 @ SY35 @ SY34 @ SY33 @ SV1 ) @ ( sK11_SY32 @ SY36 @ SY35 @ SY34 @ SY33 @ SV1 ) ) )
| ~ ( ip @ SV1 )
| ~ ( ip @ SY34 )
| ~ ( ip @ SY36 )
| ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SY33 ) )
| ~ ~ ( ~ ! [SY37: $i,SY38: $i] :
( ~ ( iext @ uri_rdf_first @ SY33 @ SY34 )
| ~ ( iext @ uri_rdf_rest @ SY33 @ SY37 )
| ~ ( iext @ uri_rdf_first @ SY37 @ SY38 )
| ~ ( iext @ uri_rdf_rest @ SY37 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SY33 )
| ! [SY39: $i,SY40: $i,SY41: $i] :
( ~ ( iext @ SY34 @ SY39 @ SY40 )
| ~ ( iext @ SY38 @ SY40 @ SY41 )
| ( iext @ SV1 @ SY39 @ SY41 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX3: $i] :
( ~ ( iext @ uri_rdf_first @ SY33 @ SY34 )
| ~ ( iext @ uri_rdf_rest @ SY33 @ SX3 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SX3 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SX3 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SY33 )
| ( ip @ SV1 ) )
| ~ ( ! [SX3: $i] :
( ~ ( iext @ uri_rdf_first @ SY33 @ SY34 )
| ~ ( iext @ uri_rdf_rest @ SY33 @ SX3 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SX3 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SX3 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SY33 )
| ( ip @ SY34 ) ) )
| ~ ! [SY46: $i,SY47: $i] :
( ~ ( iext @ uri_rdf_first @ SY33 @ SY34 )
| ~ ( iext @ uri_rdf_rest @ SY33 @ SY46 )
| ~ ( iext @ uri_rdf_first @ SY46 @ SY47 )
| ~ ( iext @ uri_rdf_rest @ SY46 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SY33 )
| ( ip @ SY47 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(41,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( icext @ SX1 @ SX0 )
| ( iext @ uri_rdf_type @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
| ( icext @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(42,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_owl_sameAs @ sK1_BNODE_l1 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_ex_p ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY23 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY23 @ sK3_SY25 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY23 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_inverseOf @ sK3_SY25 @ uri_ex_p ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(43,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ~ ~ ( ~ ( iext @ SX0 @ ( sK6_X1 @ SX0 ) @ ( sK8_SY29 @ SX0 ) )
| ~ ( iext @ SX0 @ ( sK7_SY27 @ SX0 ) @ ( sK8_SY29 @ SX0 ) ) )
| ~ ( ( ( sK6_X1 @ SX0 )
!= ( sK7_SY27 @ SX0 ) ) ) )
| ~ ( ip @ SX0 )
| ( icext @ uri_owl_InverseFunctionalProperty @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[37]) ).
thf(44,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SX0 )
| ! [SX1: $i,SX2: $i] :
( ! [SX3: $i] :
( ~ ( iext @ SX0 @ SX1 @ SX3 )
| ~ ( iext @ SX0 @ SX2 @ SX3 ) )
| ( SX1 = SX2 ) ) )
| ~ ! [SX0: $i] :
( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SX0 )
| ( ip @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[37]) ).
thf(45,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( iext @ SX0 @ ( sK4_X @ SX1 @ SX0 ) @ ( sK5_SY26 @ SX1 @ SX0 ) )
| ~ ( iext @ SX1 @ ( sK5_SY26 @ SX1 @ SX0 ) @ ( sK4_X @ SX1 @ SX0 ) ) )
| ~ ( ( iext @ SX0 @ ( sK4_X @ SX1 @ SX0 ) @ ( sK5_SY26 @ SX1 @ SX0 ) )
| ( iext @ SX1 @ ( sK5_SY26 @ SX1 @ SX0 ) @ ( sK4_X @ SX1 @ SX0 ) ) ) )
| ~ ( ip @ SX0 )
| ~ ( ip @ SX1 )
| ( iext @ uri_owl_inverseOf @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(46,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)],[38]) ).
thf(47,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( iext @ uri_owl_sameAs @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[39]) ).
thf(48,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_sameAs @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[39]) ).
thf(49,plain,
! [SV1: $i,SV2: $i] :
( ( ! [SY48: $i] :
~ ( ~ ! [SY49: $i,SY50: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SY48 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY49 )
| ~ ( iext @ uri_rdf_first @ SY49 @ SY50 )
| ~ ( iext @ uri_rdf_rest @ SY49 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( iext @ SY48 @ ( sK9_Y0 @ SY50 @ SY49 @ SY48 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SY50 @ SY49 @ SY48 @ SV2 @ SV1 ) )
| ~ ( iext @ SY50 @ ( sK10_SY30 @ SY50 @ SY49 @ SY48 @ SV2 @ SV1 ) @ ( sK11_SY32 @ SY50 @ SY49 @ SY48 @ SV2 @ SV1 ) ) )
| ~ ~ ( iext @ SV1 @ ( sK9_Y0 @ SY50 @ SY49 @ SY48 @ SV2 @ SV1 ) @ ( sK11_SY32 @ SY50 @ SY49 @ SY48 @ SV2 @ SV1 ) ) )
| ~ ( ip @ SV1 )
| ~ ( ip @ SY48 )
| ~ ( ip @ SY50 )
| ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 ) )
| ~ ~ ( ~ ! [SY51: $i,SY52: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SY48 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY51 )
| ~ ( iext @ uri_rdf_first @ SY51 @ SY52 )
| ~ ( iext @ uri_rdf_rest @ SY51 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ! [SY39: $i,SY40: $i,SY41: $i] :
( ~ ( iext @ SY48 @ SY39 @ SY40 )
| ~ ( iext @ SY52 @ SY40 @ SY41 )
| ( iext @ SV1 @ SY39 @ SY41 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SY56: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SY48 )
| ~ ( 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 @ SV1 ) )
| ~ ( ! [SY58: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SY48 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY58 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY58 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY58 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SY48 ) ) )
| ~ ! [SY60: $i,SY61: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SY48 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY60 )
| ~ ( iext @ uri_rdf_first @ SY60 @ SY61 )
| ~ ( iext @ uri_rdf_rest @ SY60 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SY61 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(50,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( icext @ SX1 @ SX0 )
| ( iext @ uri_rdf_type @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(51,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
| ( icext @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(52,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_owl_sameAs @ sK1_BNODE_l1 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_ex_p ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY23 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY23 @ sK3_SY25 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY23 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[42]) ).
thf(53,plain,
( ( ~ ( iext @ uri_owl_inverseOf @ sK3_SY25 @ uri_ex_p ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[42]) ).
thf(54,plain,
( ( ! [SX0: $i] :
( ~ ( ~ ~ ( ~ ( iext @ SX0 @ ( sK6_X1 @ SX0 ) @ ( sK8_SY29 @ SX0 ) )
| ~ ( iext @ SX0 @ ( sK7_SY27 @ SX0 ) @ ( sK8_SY29 @ SX0 ) ) )
| ~ ( ( ( sK6_X1 @ SX0 )
!= ( sK7_SY27 @ SX0 ) ) ) )
| ~ ( ip @ SX0 )
| ( icext @ uri_owl_InverseFunctionalProperty @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[43]) ).
thf(55,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SX0 )
| ! [SX1: $i,SX2: $i] :
( ! [SX3: $i] :
( ~ ( iext @ SX0 @ SX1 @ SX3 )
| ~ ( iext @ SX0 @ SX2 @ SX3 ) )
| ( SX1 = SX2 ) ) )
| ~ ! [SX0: $i] :
( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SX0 )
| ( ip @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[44]) ).
thf(56,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( iext @ SX0 @ ( sK4_X @ SX1 @ SX0 ) @ ( sK5_SY26 @ SX1 @ SX0 ) )
| ~ ( iext @ SX1 @ ( sK5_SY26 @ SX1 @ SX0 ) @ ( sK4_X @ SX1 @ SX0 ) ) )
| ~ ( ( iext @ SX0 @ ( sK4_X @ SX1 @ SX0 ) @ ( sK5_SY26 @ SX1 @ SX0 ) )
| ( iext @ SX1 @ ( sK5_SY26 @ SX1 @ SX0 ) @ ( sK4_X @ SX1 @ SX0 ) ) ) )
| ~ ( ip @ SX0 )
| ~ ( ip @ SX1 )
| ( iext @ uri_owl_inverseOf @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[45]) ).
thf(57,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)],[46]) ).
thf(58,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( iext @ uri_owl_sameAs @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[47]) ).
thf(59,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_sameAs @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[48]) ).
thf(60,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 @ SV3 @ ( sK9_Y0 @ SY63 @ SY62 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SY63 @ SY62 @ SV3 @ SV2 @ SV1 ) )
| ~ ( iext @ SY63 @ ( sK10_SY30 @ SY63 @ SY62 @ SV3 @ SV2 @ SV1 ) @ ( sK11_SY32 @ SY63 @ SY62 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ~ ( iext @ SV1 @ ( sK9_Y0 @ SY63 @ SY62 @ SV3 @ SV2 @ SV1 ) @ ( sK11_SY32 @ SY63 @ SY62 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ( ip @ SV1 )
| ~ ( ip @ SV3 )
| ~ ( ip @ SY63 )
| ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 ) )
| ~ ~ ( ~ ! [SY64: $i,SY65: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY64 )
| ~ ( iext @ uri_rdf_first @ SY64 @ SY65 )
| ~ ( iext @ uri_rdf_rest @ SY64 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ! [SY66: $i,SY67: $i,SY68: $i] :
( ~ ( iext @ SV3 @ SY66 @ SY67 )
| ~ ( iext @ SY65 @ SY67 @ SY68 )
| ( iext @ SV1 @ SY66 @ SY68 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [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 @ SV1 ) )
| ~ ( ! [SY71: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY71 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY71 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY71 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV3 ) ) )
| ~ ! [SY73: $i,SY74: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY73 )
| ~ ( iext @ uri_rdf_first @ SY73 @ SY74 )
| ~ ( iext @ uri_rdf_rest @ SY73 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SY74 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(61,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( icext @ SX1 @ SX0 )
| ( iext @ uri_rdf_type @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[50]) ).
thf(62,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
| ( icext @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[51]) ).
thf(63,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_owl_sameAs @ sK1_BNODE_l1 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_ex_p ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY23 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY23 @ sK3_SY25 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY23 @ uri_rdf_nil ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[52]) ).
thf(64,plain,
( ( iext @ uri_owl_inverseOf @ sK3_SY25 @ uri_ex_p )
= $true ),
inference(extcnf_not_neg,[status(thm)],[53]) ).
thf(65,plain,
! [SV4: $i] :
( ( ~ ( ~ ~ ( ~ ( iext @ SV4 @ ( sK6_X1 @ SV4 ) @ ( sK8_SY29 @ SV4 ) )
| ~ ( iext @ SV4 @ ( sK7_SY27 @ SV4 ) @ ( sK8_SY29 @ SV4 ) ) )
| ~ ( ( ( sK6_X1 @ SV4 )
!= ( sK7_SY27 @ SV4 ) ) ) )
| ~ ( ip @ SV4 )
| ( icext @ uri_owl_InverseFunctionalProperty @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(66,plain,
( ( ~ ! [SX0: $i] :
( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SX0 )
| ! [SX1: $i,SX2: $i] :
( ! [SX3: $i] :
( ~ ( iext @ SX0 @ SX1 @ SX3 )
| ~ ( iext @ SX0 @ SX2 @ SX3 ) )
| ( SX1 = SX2 ) ) )
| ~ ! [SX0: $i] :
( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SX0 )
| ( ip @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(67,plain,
! [SV5: $i] :
( ( ! [SY75: $i] :
( ~ ( ~ ( ~ ( iext @ SV5 @ ( sK4_X @ SY75 @ SV5 ) @ ( sK5_SY26 @ SY75 @ SV5 ) )
| ~ ( iext @ SY75 @ ( sK5_SY26 @ SY75 @ SV5 ) @ ( sK4_X @ SY75 @ SV5 ) ) )
| ~ ( ( iext @ SV5 @ ( sK4_X @ SY75 @ SV5 ) @ ( sK5_SY26 @ SY75 @ SV5 ) )
| ( iext @ SY75 @ ( sK5_SY26 @ SY75 @ SV5 ) @ ( sK4_X @ SY75 @ SV5 ) ) ) )
| ~ ( ip @ SV5 )
| ~ ( ip @ SY75 )
| ( iext @ uri_owl_inverseOf @ SV5 @ SY75 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(68,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)],[57]) ).
thf(69,plain,
! [SV6: $i] :
( ( ! [SY76: $i] :
( ( SV6 != SY76 )
| ( iext @ uri_owl_sameAs @ SV6 @ SY76 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(70,plain,
! [SV7: $i] :
( ( ! [SY77: $i] :
( ~ ( iext @ uri_owl_sameAs @ SV7 @ SY77 )
| ( SV7 = SY77 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(71,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 @ SV3 @ ( sK9_Y0 @ SY63 @ SY62 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SY63 @ SY62 @ SV3 @ SV2 @ SV1 ) )
| ~ ( iext @ SY63 @ ( sK10_SY30 @ SY63 @ SY62 @ SV3 @ SV2 @ SV1 ) @ ( sK11_SY32 @ SY63 @ SY62 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ~ ( iext @ SV1 @ ( sK9_Y0 @ SY63 @ SY62 @ SV3 @ SV2 @ SV1 ) @ ( sK11_SY32 @ SY63 @ SY62 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ( ip @ SV1 )
| ~ ( ip @ SV3 )
| ~ ( ip @ SY63 )
| ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 ) )
| ~ ~ ( ~ ! [SY64: $i,SY65: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY64 )
| ~ ( iext @ uri_rdf_first @ SY64 @ SY65 )
| ~ ( iext @ uri_rdf_rest @ SY64 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ! [SY66: $i,SY67: $i,SY68: $i] :
( ~ ( iext @ SV3 @ SY66 @ SY67 )
| ~ ( iext @ SY65 @ SY67 @ SY68 )
| ( iext @ SV1 @ SY66 @ SY68 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [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 @ SV1 ) )
| ~ ( ! [SY71: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY71 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY71 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY71 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV3 ) ) )
| ~ ! [SY73: $i,SY74: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY73 )
| ~ ( iext @ uri_rdf_first @ SY73 @ SY74 )
| ~ ( iext @ uri_rdf_rest @ SY73 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SY74 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(72,plain,
! [SV8: $i] :
( ( ! [SY78: $i] :
( ~ ( icext @ SY78 @ SV8 )
| ( iext @ uri_rdf_type @ SV8 @ SY78 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(73,plain,
! [SV9: $i] :
( ( ! [SY79: $i] :
( ~ ( iext @ uri_rdf_type @ SV9 @ SY79 )
| ( icext @ SY79 @ SV9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(74,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_owl_sameAs @ sK1_BNODE_l1 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_ex_p ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY23 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY23 @ sK3_SY25 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY23 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(75,plain,
! [SV4: $i] :
( ( ( ~ ( ~ ~ ( ~ ( iext @ SV4 @ ( sK6_X1 @ SV4 ) @ ( sK8_SY29 @ SV4 ) )
| ~ ( iext @ SV4 @ ( sK7_SY27 @ SV4 ) @ ( sK8_SY29 @ SV4 ) ) )
| ~ ( ( ( sK6_X1 @ SV4 )
!= ( sK7_SY27 @ SV4 ) ) ) )
| ~ ( ip @ SV4 ) )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[65]) ).
thf(76,plain,
( ( ~ ! [SX0: $i] :
( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SX0 )
| ! [SX1: $i,SX2: $i] :
( ! [SX3: $i] :
( ~ ( iext @ SX0 @ SX1 @ SX3 )
| ~ ( iext @ SX0 @ SX2 @ SX3 ) )
| ( SX1 = SX2 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[66]) ).
thf(77,plain,
( ( ~ ! [SX0: $i] :
( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SX0 )
| ( ip @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[66]) ).
thf(78,plain,
! [SV10: $i,SV5: $i] :
( ( ~ ( ~ ( ~ ( iext @ SV5 @ ( sK4_X @ SV10 @ SV5 ) @ ( sK5_SY26 @ SV10 @ SV5 ) )
| ~ ( iext @ SV10 @ ( sK5_SY26 @ SV10 @ SV5 ) @ ( sK4_X @ SV10 @ SV5 ) ) )
| ~ ( ( iext @ SV5 @ ( sK4_X @ SV10 @ SV5 ) @ ( sK5_SY26 @ SV10 @ SV5 ) )
| ( iext @ SV10 @ ( sK5_SY26 @ SV10 @ SV5 ) @ ( sK4_X @ SV10 @ SV5 ) ) ) )
| ~ ( ip @ SV5 )
| ~ ( ip @ SV10 )
| ( iext @ uri_owl_inverseOf @ SV5 @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(79,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)],[68]) ).
thf(80,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)],[68]) ).
thf(81,plain,
! [SV11: $i,SV6: $i] :
( ( ( SV6 != SV11 )
| ( iext @ uri_owl_sameAs @ SV6 @ SV11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(82,plain,
! [SV12: $i,SV7: $i] :
( ( ~ ( iext @ uri_owl_sameAs @ SV7 @ SV12 )
| ( SV7 = SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(83,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 @ SV3 @ ( sK9_Y0 @ SY63 @ SY62 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SY63 @ SY62 @ SV3 @ SV2 @ SV1 ) )
| ~ ( iext @ SY63 @ ( sK10_SY30 @ SY63 @ SY62 @ SV3 @ SV2 @ SV1 ) @ ( sK11_SY32 @ SY63 @ SY62 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ~ ( iext @ SV1 @ ( sK9_Y0 @ SY63 @ SY62 @ SV3 @ SV2 @ SV1 ) @ ( sK11_SY32 @ SY63 @ SY62 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ( ip @ SV1 )
| ~ ( ip @ SV3 )
| ~ ( ip @ SY63 )
| ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(84,plain,
! [SV1: $i,SV3: $i,SV2: $i] :
( ( ~ ~ ( ~ ! [SY64: $i,SY65: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY64 )
| ~ ( iext @ uri_rdf_first @ SY64 @ SY65 )
| ~ ( iext @ uri_rdf_rest @ SY64 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ! [SY66: $i,SY67: $i,SY68: $i] :
( ~ ( iext @ SV3 @ SY66 @ SY67 )
| ~ ( iext @ SY65 @ SY67 @ SY68 )
| ( iext @ SV1 @ SY66 @ SY68 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [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 @ SV1 ) )
| ~ ( ! [SY71: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY71 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY71 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY71 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV3 ) ) )
| ~ ! [SY73: $i,SY74: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY73 )
| ~ ( iext @ uri_rdf_first @ SY73 @ SY74 )
| ~ ( iext @ uri_rdf_rest @ SY73 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SY74 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(85,plain,
! [SV8: $i,SV13: $i] :
( ( ~ ( icext @ SV13 @ SV8 )
| ( iext @ uri_rdf_type @ SV8 @ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(86,plain,
! [SV14: $i,SV9: $i] :
( ( ~ ( iext @ uri_rdf_type @ SV9 @ SV14 )
| ( icext @ SV14 @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(87,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_owl_sameAs @ sK1_BNODE_l1 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_ex_p ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY23 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY23 @ sK3_SY25 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[74]) ).
thf(88,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK2_SY23 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[74]) ).
thf(89,plain,
! [SV4: $i] :
( ( ( ~ ( ~ ~ ( ~ ( iext @ SV4 @ ( sK6_X1 @ SV4 ) @ ( sK8_SY29 @ SV4 ) )
| ~ ( iext @ SV4 @ ( sK7_SY27 @ SV4 ) @ ( sK8_SY29 @ SV4 ) ) )
| ~ ( ( ( sK6_X1 @ SV4 )
!= ( sK7_SY27 @ SV4 ) ) ) ) )
= $true )
| ( ( ~ ( ip @ SV4 ) )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[75]) ).
thf(90,plain,
( ( ! [SX0: $i] :
( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SX0 )
| ! [SX1: $i,SX2: $i] :
( ! [SX3: $i] :
( ~ ( iext @ SX0 @ SX1 @ SX3 )
| ~ ( iext @ SX0 @ SX2 @ SX3 ) )
| ( SX1 = SX2 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[76]) ).
thf(91,plain,
( ( ! [SX0: $i] :
( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SX0 )
| ( ip @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[77]) ).
thf(92,plain,
! [SV10: $i,SV5: $i] :
( ( ( ~ ( ~ ( ~ ( iext @ SV5 @ ( sK4_X @ SV10 @ SV5 ) @ ( sK5_SY26 @ SV10 @ SV5 ) )
| ~ ( iext @ SV10 @ ( sK5_SY26 @ SV10 @ SV5 ) @ ( sK4_X @ SV10 @ SV5 ) ) )
| ~ ( ( iext @ SV5 @ ( sK4_X @ SV10 @ SV5 ) @ ( sK5_SY26 @ SV10 @ SV5 ) )
| ( iext @ SV10 @ ( sK5_SY26 @ SV10 @ SV5 ) @ ( sK4_X @ SV10 @ SV5 ) ) ) )
| ~ ( ip @ SV5 )
| ~ ( ip @ SV10 ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV5 @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[78]) ).
thf(93,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)],[79]) ).
thf(94,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)],[80]) ).
thf(95,plain,
! [SV11: $i,SV6: $i] :
( ( ( ( SV6 != SV11 ) )
= $true )
| ( ( iext @ uri_owl_sameAs @ SV6 @ SV11 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[81]) ).
thf(96,plain,
! [SV12: $i,SV7: $i] :
( ( ( ~ ( iext @ uri_owl_sameAs @ SV7 @ SV12 ) )
= $true )
| ( ( SV7 = SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[82]) ).
thf(97,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 @ SV3 @ ( sK9_Y0 @ SY63 @ SY62 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SY63 @ SY62 @ SV3 @ SV2 @ SV1 ) )
| ~ ( iext @ SY63 @ ( sK10_SY30 @ SY63 @ SY62 @ SV3 @ SV2 @ SV1 ) @ ( sK11_SY32 @ SY63 @ SY62 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ~ ( iext @ SV1 @ ( sK9_Y0 @ SY63 @ SY62 @ SV3 @ SV2 @ SV1 ) @ ( sK11_SY32 @ SY63 @ SY62 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ( ip @ SV1 )
| ~ ( ip @ SV3 )
| ~ ( ip @ SY63 )
| ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[83]) ).
thf(98,plain,
! [SV1: $i,SV3: $i,SV2: $i] :
( ( ~ ( ~ ! [SY64: $i,SY65: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY64 )
| ~ ( iext @ uri_rdf_first @ SY64 @ SY65 )
| ~ ( iext @ uri_rdf_rest @ SY64 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ! [SY66: $i,SY67: $i,SY68: $i] :
( ~ ( iext @ SV3 @ SY66 @ SY67 )
| ~ ( iext @ SY65 @ SY67 @ SY68 )
| ( iext @ SV1 @ SY66 @ SY68 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [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 @ SV1 ) )
| ~ ( ! [SY71: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY71 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY71 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY71 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV3 ) ) )
| ~ ! [SY73: $i,SY74: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY73 )
| ~ ( iext @ uri_rdf_first @ SY73 @ SY74 )
| ~ ( iext @ uri_rdf_rest @ SY73 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SY74 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[84]) ).
thf(99,plain,
! [SV8: $i,SV13: $i] :
( ( ( ~ ( icext @ SV13 @ SV8 ) )
= $true )
| ( ( iext @ uri_rdf_type @ SV8 @ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[85]) ).
thf(100,plain,
! [SV14: $i,SV9: $i] :
( ( ( ~ ( iext @ uri_rdf_type @ SV9 @ SV14 ) )
= $true )
| ( ( icext @ SV14 @ SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[86]) ).
thf(101,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_owl_sameAs @ sK1_BNODE_l1 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_ex_p ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY23 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY23 @ sK3_SY25 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[87]) ).
thf(102,plain,
( ( iext @ uri_rdf_rest @ sK2_SY23 @ uri_rdf_nil )
= $true ),
inference(extcnf_not_neg,[status(thm)],[88]) ).
thf(103,plain,
! [SV4: $i] :
( ( ( ~ ~ ( ~ ( iext @ SV4 @ ( sK6_X1 @ SV4 ) @ ( sK8_SY29 @ SV4 ) )
| ~ ( iext @ SV4 @ ( sK7_SY27 @ SV4 ) @ ( sK8_SY29 @ SV4 ) ) )
| ~ ( ( ( sK6_X1 @ SV4 )
!= ( sK7_SY27 @ SV4 ) ) ) )
= $false )
| ( ( ~ ( ip @ SV4 ) )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(104,plain,
! [SV15: $i] :
( ( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SV15 )
| ! [SY80: $i,SY81: $i] :
( ! [SY82: $i] :
( ~ ( iext @ SV15 @ SY80 @ SY82 )
| ~ ( iext @ SV15 @ SY81 @ SY82 ) )
| ( SY80 = SY81 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(105,plain,
! [SV16: $i] :
( ( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SV16 )
| ( ip @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(106,plain,
! [SV10: $i,SV5: $i] :
( ( ( ~ ( ~ ( ~ ( iext @ SV5 @ ( sK4_X @ SV10 @ SV5 ) @ ( sK5_SY26 @ SV10 @ SV5 ) )
| ~ ( iext @ SV10 @ ( sK5_SY26 @ SV10 @ SV5 ) @ ( sK4_X @ SV10 @ SV5 ) ) )
| ~ ( ( iext @ SV5 @ ( sK4_X @ SV10 @ SV5 ) @ ( sK5_SY26 @ SV10 @ SV5 ) )
| ( iext @ SV10 @ ( sK5_SY26 @ SV10 @ SV5 ) @ ( sK4_X @ SV10 @ SV5 ) ) ) ) )
= $true )
| ( ( ~ ( ip @ SV5 )
| ~ ( ip @ SV10 ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV5 @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[92]) ).
thf(107,plain,
! [SV17: $i] :
( ( ! [SY83: $i] :
( ~ ( iext @ uri_owl_inverseOf @ SV17 @ SY83 )
| ~ ( ~ ! [SY84: $i,SY85: $i] :
( ~ ( iext @ SV17 @ SY84 @ SY85 )
| ( iext @ SY83 @ SY85 @ SY84 ) )
| ~ ! [SY86: $i,SY87: $i] :
( ~ ( iext @ SY83 @ SY87 @ SY86 )
| ( iext @ SV17 @ SY86 @ SY87 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(108,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)],[94]) ).
thf(109,plain,
! [SV11: $i,SV6: $i] :
( ( ( SV6 = SV11 )
= $false )
| ( ( iext @ uri_owl_sameAs @ SV6 @ SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(110,plain,
! [SV12: $i,SV7: $i] :
( ( ( iext @ uri_owl_sameAs @ SV7 @ SV12 )
= $false )
| ( ( SV7 = SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(111,plain,
! [SV1: $i,SV18: $i,SV3: $i,SV2: $i] :
( ( ! [SY88: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SV18 )
| ~ ( iext @ uri_rdf_first @ SV18 @ SY88 )
| ~ ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( iext @ SV3 @ ( sK9_Y0 @ SY88 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SY88 @ SV18 @ SV3 @ SV2 @ SV1 ) )
| ~ ( iext @ SY88 @ ( sK10_SY30 @ SY88 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK11_SY32 @ SY88 @ SV18 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ~ ( iext @ SV1 @ ( sK9_Y0 @ SY88 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK11_SY32 @ SY88 @ SV18 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ( ip @ SV1 )
| ~ ( ip @ SV3 )
| ~ ( ip @ SY88 )
| ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(112,plain,
! [SV1: $i,SV3: $i,SV2: $i] :
( ( ~ ! [SY64: $i,SY65: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY64 )
| ~ ( iext @ uri_rdf_first @ SY64 @ SY65 )
| ~ ( iext @ uri_rdf_rest @ SY64 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ! [SY66: $i,SY67: $i,SY68: $i] :
( ~ ( iext @ SV3 @ SY66 @ SY67 )
| ~ ( iext @ SY65 @ SY67 @ SY68 )
| ( iext @ SV1 @ SY66 @ SY68 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [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 @ SV1 ) )
| ~ ( ! [SY71: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY71 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY71 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY71 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV3 ) ) )
| ~ ! [SY73: $i,SY74: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY73 )
| ~ ( iext @ uri_rdf_first @ SY73 @ SY74 )
| ~ ( iext @ uri_rdf_rest @ SY73 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SY74 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(113,plain,
! [SV8: $i,SV13: $i] :
( ( ( icext @ SV13 @ SV8 )
= $false )
| ( ( iext @ uri_rdf_type @ SV8 @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(114,plain,
! [SV14: $i,SV9: $i] :
( ( ( iext @ uri_rdf_type @ SV9 @ SV14 )
= $false )
| ( ( icext @ SV14 @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(115,plain,
( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_owl_sameAs @ sK1_BNODE_l1 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_ex_p ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY23 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY23 @ sK3_SY25 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(116,plain,
! [SV4: $i] :
( ( ( ~ ~ ( ~ ( iext @ SV4 @ ( sK6_X1 @ SV4 ) @ ( sK8_SY29 @ SV4 ) )
| ~ ( iext @ SV4 @ ( sK7_SY27 @ SV4 ) @ ( sK8_SY29 @ SV4 ) ) ) )
= $false )
| ( ( ~ ( ip @ SV4 ) )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[103]) ).
thf(117,plain,
! [SV4: $i] :
( ( ( ~ ( ( ( sK6_X1 @ SV4 )
!= ( sK7_SY27 @ SV4 ) ) ) )
= $false )
| ( ( ~ ( ip @ SV4 ) )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[103]) ).
thf(118,plain,
! [SV15: $i] :
( ( ( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SV15 ) )
= $true )
| ( ( ! [SY80: $i,SY81: $i] :
( ! [SY82: $i] :
( ~ ( iext @ SV15 @ SY80 @ SY82 )
| ~ ( iext @ SV15 @ SY81 @ SY82 ) )
| ( SY80 = SY81 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[104]) ).
thf(119,plain,
! [SV16: $i] :
( ( ( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SV16 ) )
= $true )
| ( ( ip @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[105]) ).
thf(120,plain,
! [SV10: $i,SV5: $i] :
( ( ( ~ ( ~ ( iext @ SV5 @ ( sK4_X @ SV10 @ SV5 ) @ ( sK5_SY26 @ SV10 @ SV5 ) )
| ~ ( iext @ SV10 @ ( sK5_SY26 @ SV10 @ SV5 ) @ ( sK4_X @ SV10 @ SV5 ) ) )
| ~ ( ( iext @ SV5 @ ( sK4_X @ SV10 @ SV5 ) @ ( sK5_SY26 @ SV10 @ SV5 ) )
| ( iext @ SV10 @ ( sK5_SY26 @ SV10 @ SV5 ) @ ( sK4_X @ SV10 @ SV5 ) ) ) )
= $false )
| ( ( ~ ( ip @ SV5 )
| ~ ( ip @ SV10 ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV5 @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(121,plain,
! [SV19: $i,SV17: $i] :
( ( ~ ( iext @ uri_owl_inverseOf @ SV17 @ SV19 )
| ~ ( ~ ! [SY89: $i,SY90: $i] :
( ~ ( iext @ SV17 @ SY89 @ SY90 )
| ( iext @ SV19 @ SY90 @ SY89 ) )
| ~ ! [SY91: $i,SY92: $i] :
( ~ ( iext @ SV19 @ SY92 @ SY91 )
| ( iext @ SV17 @ SY91 @ SY92 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(122,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ( ip @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[108]) ).
thf(123,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ( ip @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[108]) ).
thf(124,plain,
! [SV1: $i,SV20: $i,SV18: $i,SV3: $i,SV2: $i] :
( ( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SV18 )
| ~ ( iext @ uri_rdf_first @ SV18 @ SV20 )
| ~ ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
| ~ ( ~ ~ ( ~ ( iext @ SV3 @ ( sK9_Y0 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) )
| ~ ( iext @ SV20 @ ( sK10_SY30 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK11_SY32 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ~ ( iext @ SV1 @ ( sK9_Y0 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK11_SY32 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ( ip @ SV1 )
| ~ ( ip @ SV3 )
| ~ ( ip @ SV20 )
| ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(125,plain,
! [SV1: $i,SV3: $i,SV2: $i] :
( ( ~ ! [SY64: $i,SY65: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY64 )
| ~ ( iext @ uri_rdf_first @ SY64 @ SY65 )
| ~ ( iext @ uri_rdf_rest @ SY64 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ! [SY66: $i,SY67: $i,SY68: $i] :
( ~ ( iext @ SV3 @ SY66 @ SY67 )
| ~ ( iext @ SY65 @ SY67 @ SY68 )
| ( iext @ SV1 @ SY66 @ SY68 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[112]) ).
thf(126,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 @ SV1 ) )
| ~ ( ! [SY71: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY71 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY71 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY71 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV3 ) ) )
| ~ ! [SY73: $i,SY74: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY73 )
| ~ ( iext @ uri_rdf_first @ SY73 @ SY74 )
| ~ ( iext @ uri_rdf_rest @ SY73 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SY74 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[112]) ).
thf(127,plain,
( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_owl_sameAs @ sK1_BNODE_l1 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_ex_p ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY23 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[115]) ).
thf(128,plain,
( ( ~ ( iext @ uri_rdf_first @ sK2_SY23 @ sK3_SY25 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[115]) ).
thf(129,plain,
! [SV4: $i] :
( ( ( ~ ( ~ ( iext @ SV4 @ ( sK6_X1 @ SV4 ) @ ( sK8_SY29 @ SV4 ) )
| ~ ( iext @ SV4 @ ( sK7_SY27 @ SV4 ) @ ( sK8_SY29 @ SV4 ) ) ) )
= $true )
| ( ( ~ ( ip @ SV4 ) )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[116]) ).
thf(130,plain,
! [SV4: $i] :
( ( ( ( ( sK6_X1 @ SV4 )
!= ( sK7_SY27 @ SV4 ) ) )
= $true )
| ( ( ~ ( ip @ SV4 ) )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[117]) ).
thf(131,plain,
! [SV15: $i] :
( ( ( icext @ uri_owl_InverseFunctionalProperty @ SV15 )
= $false )
| ( ( ! [SY80: $i,SY81: $i] :
( ! [SY82: $i] :
( ~ ( iext @ SV15 @ SY80 @ SY82 )
| ~ ( iext @ SV15 @ SY81 @ SY82 ) )
| ( SY80 = SY81 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(132,plain,
! [SV16: $i] :
( ( ( icext @ uri_owl_InverseFunctionalProperty @ SV16 )
= $false )
| ( ( ip @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(133,plain,
! [SV10: $i,SV5: $i] :
( ( ( ~ ( ~ ( iext @ SV5 @ ( sK4_X @ SV10 @ SV5 ) @ ( sK5_SY26 @ SV10 @ SV5 ) )
| ~ ( iext @ SV10 @ ( sK5_SY26 @ SV10 @ SV5 ) @ ( sK4_X @ SV10 @ SV5 ) ) ) )
= $false )
| ( ( ~ ( ip @ SV5 )
| ~ ( ip @ SV10 ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV5 @ SV10 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[120]) ).
thf(134,plain,
! [SV10: $i,SV5: $i] :
( ( ( ~ ( ( iext @ SV5 @ ( sK4_X @ SV10 @ SV5 ) @ ( sK5_SY26 @ SV10 @ SV5 ) )
| ( iext @ SV10 @ ( sK5_SY26 @ SV10 @ SV5 ) @ ( sK4_X @ SV10 @ SV5 ) ) ) )
= $false )
| ( ( ~ ( ip @ SV5 )
| ~ ( ip @ SV10 ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV5 @ SV10 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[120]) ).
thf(135,plain,
! [SV19: $i,SV17: $i] :
( ( ( ~ ( iext @ uri_owl_inverseOf @ SV17 @ SV19 ) )
= $true )
| ( ( ~ ( ~ ! [SY89: $i,SY90: $i] :
( ~ ( iext @ SV17 @ SY89 @ SY90 )
| ( iext @ SV19 @ SY90 @ SY89 ) )
| ~ ! [SY91: $i,SY92: $i] :
( ~ ( iext @ SV19 @ SY92 @ SY91 )
| ( iext @ SV17 @ SY91 @ SY92 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[121]) ).
thf(136,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ( ip @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[122]) ).
thf(137,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ( ip @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[123]) ).
thf(138,plain,
! [SV1: $i,SV20: $i,SV18: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SV18 )
| ~ ( iext @ uri_rdf_first @ SV18 @ SV20 )
| ~ ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( iext @ SV3 @ ( sK9_Y0 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) )
| ~ ( iext @ SV20 @ ( sK10_SY30 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK11_SY32 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ~ ( iext @ SV1 @ ( sK9_Y0 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK11_SY32 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ( ip @ SV1 )
| ~ ( ip @ SV3 )
| ~ ( ip @ SV20 )
| ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[124]) ).
thf(139,plain,
! [SV1: $i,SV3: $i,SV2: $i] :
( ( ! [SY64: $i,SY65: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY64 )
| ~ ( iext @ uri_rdf_first @ SY64 @ SY65 )
| ~ ( iext @ uri_rdf_rest @ SY64 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ! [SY66: $i,SY67: $i,SY68: $i] :
( ~ ( iext @ SV3 @ SY66 @ SY67 )
| ~ ( iext @ SY65 @ SY67 @ SY68 )
| ( iext @ SV1 @ SY66 @ SY68 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[125]) ).
thf(140,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 @ SV1 ) )
| ~ ( ! [SY71: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY71 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY71 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY71 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV3 ) ) )
| ~ ! [SY73: $i,SY74: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY73 )
| ~ ( iext @ uri_rdf_first @ SY73 @ SY74 )
| ~ ( iext @ uri_rdf_rest @ SY73 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SY74 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[126]) ).
thf(141,plain,
( ( ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_owl_sameAs @ sK1_BNODE_l1 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_ex_p ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY23 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[127]) ).
thf(142,plain,
( ( iext @ uri_rdf_first @ sK2_SY23 @ sK3_SY25 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[128]) ).
thf(143,plain,
! [SV4: $i] :
( ( ( ~ ( iext @ SV4 @ ( sK6_X1 @ SV4 ) @ ( sK8_SY29 @ SV4 ) )
| ~ ( iext @ SV4 @ ( sK7_SY27 @ SV4 ) @ ( sK8_SY29 @ SV4 ) ) )
= $false )
| ( ( ~ ( ip @ SV4 ) )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(144,plain,
! [SV4: $i] :
( ( ( ( sK6_X1 @ SV4 )
= ( sK7_SY27 @ SV4 ) )
= $false )
| ( ( ~ ( ip @ SV4 ) )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(145,plain,
! [SV21: $i,SV15: $i] :
( ( ( ! [SY93: $i] :
( ! [SY94: $i] :
( ~ ( iext @ SV15 @ SV21 @ SY94 )
| ~ ( iext @ SV15 @ SY93 @ SY94 ) )
| ( SV21 = SY93 ) ) )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[131]) ).
thf(146,plain,
! [SV10: $i,SV5: $i] :
( ( ( ~ ( iext @ SV5 @ ( sK4_X @ SV10 @ SV5 ) @ ( sK5_SY26 @ SV10 @ SV5 ) )
| ~ ( iext @ SV10 @ ( sK5_SY26 @ SV10 @ SV5 ) @ ( sK4_X @ SV10 @ SV5 ) ) )
= $true )
| ( ( ~ ( ip @ SV5 )
| ~ ( ip @ SV10 ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV5 @ SV10 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[133]) ).
thf(147,plain,
! [SV10: $i,SV5: $i] :
( ( ( ( iext @ SV5 @ ( sK4_X @ SV10 @ SV5 ) @ ( sK5_SY26 @ SV10 @ SV5 ) )
| ( iext @ SV10 @ ( sK5_SY26 @ SV10 @ SV5 ) @ ( sK4_X @ SV10 @ SV5 ) ) )
= $true )
| ( ( ~ ( ip @ SV5 )
| ~ ( ip @ SV10 ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV5 @ SV10 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[134]) ).
thf(148,plain,
! [SV19: $i,SV17: $i] :
( ( ( iext @ uri_owl_inverseOf @ SV17 @ SV19 )
= $false )
| ( ( ~ ( ~ ! [SY89: $i,SY90: $i] :
( ~ ( iext @ SV17 @ SY89 @ SY90 )
| ( iext @ SV19 @ SY90 @ SY89 ) )
| ~ ! [SY91: $i,SY92: $i] :
( ~ ( iext @ SV19 @ SY92 @ SY91 )
| ( iext @ SV17 @ SY91 @ SY92 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(149,plain,
! [SV22: $i] :
( ( ! [SY95: $i] :
~ ( iext @ uri_owl_inverseOf @ SV22 @ SY95 )
| ( ip @ SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[136]) ).
thf(150,plain,
! [SV23: $i] :
( ( ! [SY96: $i] :
( ~ ( iext @ uri_owl_inverseOf @ SV23 @ SY96 )
| ( ip @ SY96 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(151,plain,
! [SV1: $i,SV20: $i,SV18: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SV18 )
| ~ ( iext @ uri_rdf_first @ SV18 @ SV20 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( iext @ SV3 @ ( sK9_Y0 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) )
| ~ ( iext @ SV20 @ ( sK10_SY30 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK11_SY32 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ~ ( iext @ SV1 @ ( sK9_Y0 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK11_SY32 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ( ip @ SV1 )
| ~ ( ip @ SV3 )
| ~ ( ip @ SV20 )
| ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[138]) ).
thf(152,plain,
! [SV1: $i,SV24: $i,SV3: $i,SV2: $i] :
( ( ! [SY97: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SV24 )
| ~ ( iext @ uri_rdf_first @ SV24 @ SY97 )
| ~ ( iext @ uri_rdf_rest @ SV24 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ! [SY66: $i,SY67: $i,SY68: $i] :
( ~ ( iext @ SV3 @ SY66 @ SY67 )
| ~ ( iext @ SY97 @ SY67 @ SY68 )
| ( iext @ SV1 @ SY66 @ SY68 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[139]) ).
thf(153,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 @ SV1 ) )
| ~ ( ! [SY71: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY71 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY71 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY71 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV3 ) ) )
| ~ ! [SY73: $i,SY74: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY73 )
| ~ ( iext @ uri_rdf_first @ SY73 @ SY74 )
| ~ ( iext @ uri_rdf_rest @ SY73 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SY74 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(154,plain,
( ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_owl_sameAs @ sK1_BNODE_l1 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_ex_p ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY23 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(155,plain,
! [SV4: $i] :
( ( ( ~ ( iext @ SV4 @ ( sK6_X1 @ SV4 ) @ ( sK8_SY29 @ SV4 ) ) )
= $false )
| ( ( ~ ( ip @ SV4 ) )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[143]) ).
thf(156,plain,
! [SV4: $i] :
( ( ( ~ ( iext @ SV4 @ ( sK7_SY27 @ SV4 ) @ ( sK8_SY29 @ SV4 ) ) )
= $false )
| ( ( ~ ( ip @ SV4 ) )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[143]) ).
thf(157,plain,
! [SV4: $i] :
( ( ( ip @ SV4 )
= $false )
| ( ( ( sK6_X1 @ SV4 )
= ( sK7_SY27 @ SV4 ) )
= $false )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(158,plain,
! [SV25: $i,SV21: $i,SV15: $i] :
( ( ( ! [SY101: $i] :
( ~ ( iext @ SV15 @ SV21 @ SY101 )
| ~ ( iext @ SV15 @ SV25 @ SY101 ) )
| ( SV21 = SV25 ) )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(159,plain,
! [SV10: $i,SV5: $i] :
( ( ( ~ ( iext @ SV5 @ ( sK4_X @ SV10 @ SV5 ) @ ( sK5_SY26 @ SV10 @ SV5 ) ) )
= $true )
| ( ( ~ ( iext @ SV10 @ ( sK5_SY26 @ SV10 @ SV5 ) @ ( sK4_X @ SV10 @ SV5 ) ) )
= $true )
| ( ( ~ ( ip @ SV5 )
| ~ ( ip @ SV10 ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV5 @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[146]) ).
thf(160,plain,
! [SV10: $i,SV5: $i] :
( ( ( iext @ SV5 @ ( sK4_X @ SV10 @ SV5 ) @ ( sK5_SY26 @ SV10 @ SV5 ) )
= $true )
| ( ( iext @ SV10 @ ( sK5_SY26 @ SV10 @ SV5 ) @ ( sK4_X @ SV10 @ SV5 ) )
= $true )
| ( ( ~ ( ip @ SV5 )
| ~ ( ip @ SV10 ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV5 @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[147]) ).
thf(161,plain,
! [SV19: $i,SV17: $i] :
( ( ( ~ ! [SY89: $i,SY90: $i] :
( ~ ( iext @ SV17 @ SY89 @ SY90 )
| ( iext @ SV19 @ SY90 @ SY89 ) )
| ~ ! [SY91: $i,SY92: $i] :
( ~ ( iext @ SV19 @ SY92 @ SY91 )
| ( iext @ SV17 @ SY91 @ SY92 ) ) )
= $false )
| ( ( iext @ uri_owl_inverseOf @ SV17 @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(162,plain,
! [SV22: $i] :
( ( ( ! [SY95: $i] :
~ ( iext @ uri_owl_inverseOf @ SV22 @ SY95 ) )
= $true )
| ( ( ip @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[149]) ).
thf(163,plain,
! [SV26: $i,SV23: $i] :
( ( ~ ( iext @ uri_owl_inverseOf @ SV23 @ SV26 )
| ( ip @ SV26 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[150]) ).
thf(164,plain,
! [SV1: $i,SV20: $i,SV18: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SV18 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV18 @ SV20 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( iext @ SV3 @ ( sK9_Y0 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) )
| ~ ( iext @ SV20 @ ( sK10_SY30 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK11_SY32 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ~ ( iext @ SV1 @ ( sK9_Y0 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK11_SY32 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ( ip @ SV1 )
| ~ ( ip @ SV3 )
| ~ ( ip @ SV20 )
| ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[151]) ).
thf(165,plain,
! [SV1: $i,SV27: $i,SV24: $i,SV3: $i,SV2: $i] :
( ( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SV24 )
| ~ ( iext @ uri_rdf_first @ SV24 @ SV27 )
| ~ ( iext @ uri_rdf_rest @ SV24 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ! [SY102: $i,SY103: $i,SY104: $i] :
( ~ ( iext @ SV3 @ SY102 @ SY103 )
| ~ ( iext @ SV27 @ SY103 @ SY104 )
| ( iext @ SV1 @ SY102 @ SY104 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[152]) ).
thf(166,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 @ SV1 ) )
| ~ ( ! [SY71: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY71 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY71 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY71 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV3 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[153]) ).
thf(167,plain,
! [SV1: $i,SV3: $i,SV2: $i] :
( ( ~ ! [SY73: $i,SY74: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY73 )
| ~ ( iext @ uri_rdf_first @ SY73 @ SY74 )
| ~ ( iext @ uri_rdf_rest @ SY73 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SY74 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[153]) ).
thf(168,plain,
( ( ~ ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_owl_sameAs @ sK1_BNODE_l1 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_ex_p ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[154]) ).
thf(169,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY23 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[154]) ).
thf(170,plain,
! [SV4: $i] :
( ( ( iext @ SV4 @ ( sK6_X1 @ SV4 ) @ ( sK8_SY29 @ SV4 ) )
= $true )
| ( ( ~ ( ip @ SV4 ) )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[155]) ).
thf(171,plain,
! [SV4: $i] :
( ( ( iext @ SV4 @ ( sK7_SY27 @ SV4 ) @ ( sK8_SY29 @ SV4 ) )
= $true )
| ( ( ~ ( ip @ SV4 ) )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[156]) ).
thf(172,plain,
! [SV25: $i,SV21: $i,SV15: $i] :
( ( ( ! [SY101: $i] :
( ~ ( iext @ SV15 @ SV21 @ SY101 )
| ~ ( iext @ SV15 @ SV25 @ SY101 ) ) )
= $true )
| ( ( SV21 = SV25 )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[158]) ).
thf(173,plain,
! [SV10: $i,SV5: $i] :
( ( ( iext @ SV5 @ ( sK4_X @ SV10 @ SV5 ) @ ( sK5_SY26 @ SV10 @ SV5 ) )
= $false )
| ( ( ~ ( iext @ SV10 @ ( sK5_SY26 @ SV10 @ SV5 ) @ ( sK4_X @ SV10 @ SV5 ) ) )
= $true )
| ( ( ~ ( ip @ SV5 )
| ~ ( ip @ SV10 ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV5 @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(174,plain,
! [SV10: $i,SV5: $i] :
( ( ( ~ ( ip @ SV5 ) )
= $true )
| ( ( ~ ( ip @ SV10 ) )
= $true )
| ( ( iext @ SV10 @ ( sK5_SY26 @ SV10 @ SV5 ) @ ( sK4_X @ SV10 @ SV5 ) )
= $true )
| ( ( iext @ SV5 @ ( sK4_X @ SV10 @ SV5 ) @ ( sK5_SY26 @ SV10 @ SV5 ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV5 @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[160]) ).
thf(175,plain,
! [SV19: $i,SV17: $i] :
( ( ( ~ ! [SY89: $i,SY90: $i] :
( ~ ( iext @ SV17 @ SY89 @ SY90 )
| ( iext @ SV19 @ SY90 @ SY89 ) ) )
= $false )
| ( ( iext @ uri_owl_inverseOf @ SV17 @ SV19 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[161]) ).
thf(176,plain,
! [SV17: $i,SV19: $i] :
( ( ( ~ ! [SY91: $i,SY92: $i] :
( ~ ( iext @ SV19 @ SY92 @ SY91 )
| ( iext @ SV17 @ SY91 @ SY92 ) ) )
= $false )
| ( ( iext @ uri_owl_inverseOf @ SV17 @ SV19 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[161]) ).
thf(177,plain,
! [SV28: $i,SV22: $i] :
( ( ( ~ ( iext @ uri_owl_inverseOf @ SV22 @ SV28 ) )
= $true )
| ( ( ip @ SV22 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[162]) ).
thf(178,plain,
! [SV26: $i,SV23: $i] :
( ( ( ~ ( iext @ uri_owl_inverseOf @ SV23 @ SV26 ) )
= $true )
| ( ( ip @ SV26 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[163]) ).
thf(179,plain,
! [SV1: $i,SV20: $i,SV18: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV2 @ SV18 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV18 @ SV20 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( iext @ SV3 @ ( sK9_Y0 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) )
| ~ ( iext @ SV20 @ ( sK10_SY30 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK11_SY32 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ~ ( iext @ SV1 @ ( sK9_Y0 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK11_SY32 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ( ip @ SV1 )
| ~ ( ip @ SV3 )
| ~ ( ip @ SV20 )
| ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[164]) ).
thf(180,plain,
! [SV1: $i,SV27: $i,SV24: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SV24 )
| ~ ( iext @ uri_rdf_first @ SV24 @ SV27 )
| ~ ( iext @ uri_rdf_rest @ SV24 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ! [SY102: $i,SY103: $i,SY104: $i] :
( ~ ( iext @ SV3 @ SY102 @ SY103 )
| ~ ( iext @ SV27 @ SY103 @ SY104 )
| ( iext @ SV1 @ SY102 @ SY104 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[165]) ).
thf(181,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 @ SV1 ) )
| ~ ( ! [SY71: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY71 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY71 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY71 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV3 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[166]) ).
thf(182,plain,
! [SV1: $i,SV3: $i,SV2: $i] :
( ( ! [SY73: $i,SY74: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY73 )
| ~ ( iext @ uri_rdf_first @ SY73 @ SY74 )
| ~ ( iext @ uri_rdf_rest @ SY73 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SY74 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[167]) ).
thf(183,plain,
( ( ~ ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_owl_sameAs @ sK1_BNODE_l1 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_ex_p ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[168]) ).
thf(184,plain,
( ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY23 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[169]) ).
thf(185,plain,
! [SV4: $i] :
( ( ( ip @ SV4 )
= $false )
| ( ( iext @ SV4 @ ( sK6_X1 @ SV4 ) @ ( sK8_SY29 @ SV4 ) )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(186,plain,
! [SV4: $i] :
( ( ( ip @ SV4 )
= $false )
| ( ( iext @ SV4 @ ( sK7_SY27 @ SV4 ) @ ( sK8_SY29 @ SV4 ) )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(187,plain,
! [SV25: $i,SV29: $i,SV21: $i,SV15: $i] :
( ( ( ~ ( iext @ SV15 @ SV21 @ SV29 )
| ~ ( iext @ SV15 @ SV25 @ SV29 ) )
= $true )
| ( ( SV21 = SV25 )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(188,plain,
! [SV5: $i,SV10: $i] :
( ( ( iext @ SV10 @ ( sK5_SY26 @ SV10 @ SV5 ) @ ( sK4_X @ SV10 @ SV5 ) )
= $false )
| ( ( iext @ SV5 @ ( sK4_X @ SV10 @ SV5 ) @ ( sK5_SY26 @ SV10 @ SV5 ) )
= $false )
| ( ( ~ ( ip @ SV5 )
| ~ ( ip @ SV10 ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV5 @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(189,plain,
! [SV10: $i,SV5: $i] :
( ( ( ip @ SV5 )
= $false )
| ( ( ~ ( ip @ SV10 ) )
= $true )
| ( ( iext @ SV10 @ ( sK5_SY26 @ SV10 @ SV5 ) @ ( sK4_X @ SV10 @ SV5 ) )
= $true )
| ( ( iext @ SV5 @ ( sK4_X @ SV10 @ SV5 ) @ ( sK5_SY26 @ SV10 @ SV5 ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV5 @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(190,plain,
! [SV19: $i,SV17: $i] :
( ( ( ! [SY89: $i,SY90: $i] :
( ~ ( iext @ SV17 @ SY89 @ SY90 )
| ( iext @ SV19 @ SY90 @ SY89 ) ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV17 @ SV19 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[175]) ).
thf(191,plain,
! [SV17: $i,SV19: $i] :
( ( ( ! [SY91: $i,SY92: $i] :
( ~ ( iext @ SV19 @ SY92 @ SY91 )
| ( iext @ SV17 @ SY91 @ SY92 ) ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV17 @ SV19 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[176]) ).
thf(192,plain,
! [SV28: $i,SV22: $i] :
( ( ( iext @ uri_owl_inverseOf @ SV22 @ SV28 )
= $false )
| ( ( ip @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(193,plain,
! [SV26: $i,SV23: $i] :
( ( ( iext @ uri_owl_inverseOf @ SV23 @ SV26 )
= $false )
| ( ( ip @ SV26 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[178]) ).
thf(194,plain,
! [SV1: $i,SV20: $i,SV18: $i,SV3: $i,SV2: $i] :
( ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV2 @ SV18 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV18 @ SV20 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( iext @ SV3 @ ( sK9_Y0 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) )
| ~ ( iext @ SV20 @ ( sK10_SY30 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK11_SY32 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ~ ( iext @ SV1 @ ( sK9_Y0 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK11_SY32 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ( ip @ SV1 )
| ~ ( ip @ SV3 )
| ~ ( ip @ SV20 )
| ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[179]) ).
thf(195,plain,
! [SV1: $i,SV27: $i,SV24: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SV24 )
| ~ ( iext @ uri_rdf_first @ SV24 @ SV27 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV24 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ! [SY102: $i,SY103: $i,SY104: $i] :
( ~ ( iext @ SV3 @ SY102 @ SY103 )
| ~ ( iext @ SV27 @ SY103 @ SY104 )
| ( iext @ SV1 @ SY102 @ SY104 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[180]) ).
thf(196,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 @ SV1 ) )
| ~ ( ! [SY71: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY71 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY71 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY71 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV3 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(197,plain,
! [SV1: $i,SV30: $i,SV3: $i,SV2: $i] :
( ( ! [SY105: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SV30 )
| ~ ( iext @ uri_rdf_first @ SV30 @ SY105 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SY105 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(198,plain,
( ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_owl_sameAs @ sK1_BNODE_l1 )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_ex_p ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(199,plain,
! [SV25: $i,SV29: $i,SV21: $i,SV15: $i] :
( ( ( ~ ( iext @ SV15 @ SV21 @ SV29 ) )
= $true )
| ( ( ~ ( iext @ SV15 @ SV25 @ SV29 ) )
= $true )
| ( ( SV21 = SV25 )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[187]) ).
thf(200,plain,
! [SV10: $i,SV5: $i] :
( ( ( ~ ( ip @ SV5 ) )
= $true )
| ( ( ~ ( ip @ SV10 ) )
= $true )
| ( ( iext @ SV5 @ ( sK4_X @ SV10 @ SV5 ) @ ( sK5_SY26 @ SV10 @ SV5 ) )
= $false )
| ( ( iext @ SV10 @ ( sK5_SY26 @ SV10 @ SV5 ) @ ( sK4_X @ SV10 @ SV5 ) )
= $false )
| ( ( iext @ uri_owl_inverseOf @ SV5 @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[188]) ).
thf(201,plain,
! [SV5: $i,SV10: $i] :
( ( ( ip @ SV10 )
= $false )
| ( ( ip @ SV5 )
= $false )
| ( ( iext @ SV10 @ ( sK5_SY26 @ SV10 @ SV5 ) @ ( sK4_X @ SV10 @ SV5 ) )
= $true )
| ( ( iext @ SV5 @ ( sK4_X @ SV10 @ SV5 ) @ ( sK5_SY26 @ SV10 @ SV5 ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV5 @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(202,plain,
! [SV19: $i,SV31: $i,SV17: $i] :
( ( ( ! [SY106: $i] :
( ~ ( iext @ SV17 @ SV31 @ SY106 )
| ( iext @ SV19 @ SY106 @ SV31 ) ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV17 @ SV19 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[190]) ).
thf(203,plain,
! [SV17: $i,SV32: $i,SV19: $i] :
( ( ( ! [SY107: $i] :
( ~ ( iext @ SV19 @ SY107 @ SV32 )
| ( iext @ SV17 @ SV32 @ SY107 ) ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV17 @ SV19 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[191]) ).
thf(204,plain,
! [SV1: $i,SV20: $i,SV3: $i,SV18: $i,SV2: $i] :
( ( ( iext @ uri_rdf_rest @ SV2 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV18 @ SV20 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( iext @ SV3 @ ( sK9_Y0 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) )
| ~ ( iext @ SV20 @ ( sK10_SY30 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK11_SY32 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ~ ( iext @ SV1 @ ( sK9_Y0 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK11_SY32 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ( ip @ SV1 )
| ~ ( ip @ SV3 )
| ~ ( ip @ SV20 )
| ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[194]) ).
thf(205,plain,
! [SV1: $i,SV27: $i,SV24: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SV24 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV24 @ SV27 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV24 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ! [SY102: $i,SY103: $i,SY104: $i] :
( ~ ( iext @ SV3 @ SY102 @ SY103 )
| ~ ( iext @ SV27 @ SY103 @ SY104 )
| ( iext @ SV1 @ SY102 @ SY104 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[195]) ).
thf(206,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 @ SV1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[196]) ).
thf(207,plain,
! [SV1: $i,SV3: $i,SV2: $i] :
( ( ~ ( ! [SY71: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY71 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY71 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY71 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV3 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[196]) ).
thf(208,plain,
! [SV1: $i,SV33: $i,SV30: $i,SV3: $i,SV2: $i] :
( ( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SV30 )
| ~ ( iext @ uri_rdf_first @ SV30 @ SV33 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV33 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[197]) ).
thf(209,plain,
( ( ~ ( iext @ uri_owl_propertyChainAxiom @ uri_owl_sameAs @ sK1_BNODE_l1 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[198]) ).
thf(210,plain,
( ( ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_ex_p ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[198]) ).
thf(211,plain,
! [SV25: $i,SV29: $i,SV21: $i,SV15: $i] :
( ( ( iext @ SV15 @ SV21 @ SV29 )
= $false )
| ( ( ~ ( iext @ SV15 @ SV25 @ SV29 ) )
= $true )
| ( ( SV21 = SV25 )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(212,plain,
! [SV10: $i,SV5: $i] :
( ( ( ip @ SV5 )
= $false )
| ( ( ~ ( ip @ SV10 ) )
= $true )
| ( ( iext @ SV5 @ ( sK4_X @ SV10 @ SV5 ) @ ( sK5_SY26 @ SV10 @ SV5 ) )
= $false )
| ( ( iext @ SV10 @ ( sK5_SY26 @ SV10 @ SV5 ) @ ( sK4_X @ SV10 @ SV5 ) )
= $false )
| ( ( iext @ uri_owl_inverseOf @ SV5 @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(213,plain,
! [SV19: $i,SV34: $i,SV31: $i,SV17: $i] :
( ( ( ~ ( iext @ SV17 @ SV31 @ SV34 )
| ( iext @ SV19 @ SV34 @ SV31 ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV17 @ SV19 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[202]) ).
thf(214,plain,
! [SV17: $i,SV32: $i,SV35: $i,SV19: $i] :
( ( ( ~ ( iext @ SV19 @ SV35 @ SV32 )
| ( iext @ SV17 @ SV32 @ SV35 ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV17 @ SV19 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[203]) ).
thf(215,plain,
! [SV1: $i,SV3: $i,SV2: $i,SV20: $i,SV18: $i] :
( ( ( iext @ uri_rdf_first @ SV18 @ SV20 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV18 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( iext @ SV3 @ ( sK9_Y0 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) )
| ~ ( iext @ SV20 @ ( sK10_SY30 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK11_SY32 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ~ ( iext @ SV1 @ ( sK9_Y0 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK11_SY32 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ( ip @ SV1 )
| ~ ( ip @ SV3 )
| ~ ( ip @ SV20 )
| ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(216,plain,
! [SV1: $i,SV27: $i,SV24: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV2 @ SV24 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV24 @ SV27 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV24 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ! [SY102: $i,SY103: $i,SY104: $i] :
( ~ ( iext @ SV3 @ SY102 @ SY103 )
| ~ ( iext @ SV27 @ SY103 @ SY104 )
| ( iext @ SV1 @ SY102 @ SY104 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[205]) ).
thf(217,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 @ SV1 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[206]) ).
thf(218,plain,
! [SV1: $i,SV3: $i,SV2: $i] :
( ( ! [SY71: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY71 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY71 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY71 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV3 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[207]) ).
thf(219,plain,
! [SV1: $i,SV33: $i,SV30: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SV30 )
| ~ ( iext @ uri_rdf_first @ SV30 @ SV33 )
| ~ ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[208]) ).
thf(220,plain,
( ( iext @ uri_owl_propertyChainAxiom @ uri_owl_sameAs @ sK1_BNODE_l1 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[209]) ).
thf(221,plain,
( ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_ex_p )
= $true ),
inference(extcnf_not_neg,[status(thm)],[210]) ).
thf(222,plain,
! [SV21: $i,SV29: $i,SV25: $i,SV15: $i] :
( ( ( iext @ SV15 @ SV25 @ SV29 )
= $false )
| ( ( iext @ SV15 @ SV21 @ SV29 )
= $false )
| ( ( SV21 = SV25 )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[211]) ).
thf(223,plain,
! [SV5: $i,SV10: $i] :
( ( ( ip @ SV10 )
= $false )
| ( ( ip @ SV5 )
= $false )
| ( ( iext @ SV5 @ ( sK4_X @ SV10 @ SV5 ) @ ( sK5_SY26 @ SV10 @ SV5 ) )
= $false )
| ( ( iext @ SV10 @ ( sK5_SY26 @ SV10 @ SV5 ) @ ( sK4_X @ SV10 @ SV5 ) )
= $false )
| ( ( iext @ uri_owl_inverseOf @ SV5 @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[212]) ).
thf(224,plain,
! [SV19: $i,SV34: $i,SV31: $i,SV17: $i] :
( ( ( ~ ( iext @ SV17 @ SV31 @ SV34 ) )
= $true )
| ( ( iext @ SV19 @ SV34 @ SV31 )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV17 @ SV19 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[213]) ).
thf(225,plain,
! [SV17: $i,SV32: $i,SV35: $i,SV19: $i] :
( ( ( ~ ( iext @ SV19 @ SV35 @ SV32 ) )
= $true )
| ( ( iext @ SV17 @ SV32 @ SV35 )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV17 @ SV19 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[214]) ).
thf(226,plain,
! [SV1: $i,SV20: $i,SV3: $i,SV2: $i,SV18: $i] :
( ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_first @ SV18 @ SV20 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( iext @ SV3 @ ( sK9_Y0 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) )
| ~ ( iext @ SV20 @ ( sK10_SY30 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK11_SY32 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ~ ( iext @ SV1 @ ( sK9_Y0 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK11_SY32 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ( ip @ SV1 )
| ~ ( ip @ SV3 )
| ~ ( ip @ SV20 )
| ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(227,plain,
! [SV1: $i,SV27: $i,SV24: $i,SV3: $i,SV2: $i] :
( ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV2 @ SV24 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV24 @ SV27 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV24 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ! [SY102: $i,SY103: $i,SY104: $i] :
( ~ ( iext @ SV3 @ SY102 @ SY103 )
| ~ ( iext @ SV27 @ SY103 @ SY104 )
| ( iext @ SV1 @ SY102 @ SY104 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[216]) ).
thf(228,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 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[217]) ).
thf(229,plain,
! [SV1: $i,SV3: $i,SV2: $i] :
( ( ( ! [SY71: $i] :
( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SY71 )
| ! [SX4: $i] :
~ ( iext @ uri_rdf_first @ SY71 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SY71 @ uri_rdf_nil ) ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[218]) ).
thf(230,plain,
! [SV1: $i,SV33: $i,SV30: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SV30 )
| ~ ( iext @ uri_rdf_first @ SV30 @ SV33 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[219]) ).
thf(231,plain,
! [SV19: $i,SV34: $i,SV31: $i,SV17: $i] :
( ( ( iext @ SV17 @ SV31 @ SV34 )
= $false )
| ( ( iext @ SV19 @ SV34 @ SV31 )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV17 @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[224]) ).
thf(232,plain,
! [SV17: $i,SV32: $i,SV35: $i,SV19: $i] :
( ( ( iext @ SV19 @ SV35 @ SV32 )
= $false )
| ( ( iext @ SV17 @ SV32 @ SV35 )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV17 @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[225]) ).
thf(233,plain,
! [SV1: $i,SV2: $i,SV18: $i,SV20: $i,SV3: $i] :
( ( ( ~ ( ~ ~ ( ~ ( iext @ SV3 @ ( sK9_Y0 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) )
| ~ ( iext @ SV20 @ ( sK10_SY30 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK11_SY32 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ~ ( iext @ SV1 @ ( sK9_Y0 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK11_SY32 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ( ip @ SV1 )
| ~ ( ip @ SV3 )
| ~ ( ip @ SV20 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV20 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[226]) ).
thf(234,plain,
! [SV1: $i,SV27: $i,SV3: $i,SV24: $i,SV2: $i] :
( ( ( iext @ uri_rdf_rest @ SV2 @ SV24 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV24 @ SV27 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV24 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ! [SY102: $i,SY103: $i,SY104: $i] :
( ~ ( iext @ SV3 @ SY102 @ SY103 )
| ~ ( iext @ SV27 @ SY103 @ SY104 )
| ( iext @ SV1 @ SY102 @ SY104 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(235,plain,
! [SV1: $i,SV36: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SV36 )
| ! [SY108: $i] :
~ ( iext @ uri_rdf_first @ SV36 @ SY108 )
| ~ ( iext @ uri_rdf_rest @ SV36 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[228]) ).
thf(236,plain,
! [SV1: $i,SV37: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SV37 )
| ! [SY109: $i] :
~ ( iext @ uri_rdf_first @ SV37 @ SY109 )
| ~ ( iext @ uri_rdf_rest @ SV37 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV3 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[229]) ).
thf(237,plain,
! [SV1: $i,SV33: $i,SV30: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SV30 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV30 @ SV33 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[230]) ).
thf(238,plain,
! [SV1: $i,SV2: $i,SV18: $i,SV20: $i,SV3: $i] :
( ( ( ~ ( ~ ~ ( ~ ( iext @ SV3 @ ( sK9_Y0 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) )
| ~ ( iext @ SV20 @ ( sK10_SY30 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK11_SY32 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ~ ( iext @ SV1 @ ( sK9_Y0 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK11_SY32 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) ) ) )
= $true )
| ( ( ~ ( ip @ SV1 )
| ~ ( ip @ SV3 )
| ~ ( ip @ SV20 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV20 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[233]) ).
thf(239,plain,
! [SV1: $i,SV3: $i,SV2: $i,SV27: $i,SV24: $i] :
( ( ( iext @ uri_rdf_first @ SV24 @ SV27 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV24 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV24 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ! [SY102: $i,SY103: $i,SY104: $i] :
( ~ ( iext @ SV3 @ SY102 @ SY103 )
| ~ ( iext @ SV27 @ SY103 @ SY104 )
| ( iext @ SV1 @ SY102 @ SY104 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[234]) ).
thf(240,plain,
! [SV1: $i,SV36: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SV36 )
| ! [SY108: $i] :
~ ( iext @ uri_rdf_first @ SV36 @ SY108 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV36 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[235]) ).
thf(241,plain,
! [SV1: $i,SV37: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SV37 )
| ! [SY109: $i] :
~ ( iext @ uri_rdf_first @ SV37 @ SY109 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV37 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[236]) ).
thf(242,plain,
! [SV1: $i,SV33: $i,SV30: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV2 @ SV30 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV30 @ SV33 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[237]) ).
thf(243,plain,
! [SV1: $i,SV2: $i,SV18: $i,SV20: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( iext @ SV3 @ ( sK9_Y0 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) )
| ~ ( iext @ SV20 @ ( sK10_SY30 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK11_SY32 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ~ ( iext @ SV1 @ ( sK9_Y0 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK11_SY32 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) ) )
= $false )
| ( ( ~ ( ip @ SV1 )
| ~ ( ip @ SV3 )
| ~ ( ip @ SV20 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV20 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(244,plain,
! [SV1: $i,SV27: $i,SV3: $i,SV2: $i,SV24: $i] :
( ( ( iext @ uri_rdf_rest @ SV24 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV24 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_first @ SV24 @ SV27 )
= $false )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ! [SY102: $i,SY103: $i,SY104: $i] :
( ~ ( iext @ SV3 @ SY102 @ SY103 )
| ~ ( iext @ SV27 @ SY103 @ SY104 )
| ( iext @ SV1 @ SY102 @ SY104 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(245,plain,
! [SV1: $i,SV36: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SV36 ) )
= $true )
| ( ( ! [SY108: $i] :
~ ( iext @ uri_rdf_first @ SV36 @ SY108 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV36 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[240]) ).
thf(246,plain,
! [SV1: $i,SV37: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 )
| ~ ( iext @ uri_rdf_rest @ SV2 @ SV37 ) )
= $true )
| ( ( ! [SY109: $i] :
~ ( iext @ uri_rdf_first @ SV37 @ SY109 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV37 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[241]) ).
thf(247,plain,
! [SV1: $i,SV33: $i,SV30: $i,SV3: $i,SV2: $i] :
( ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV2 @ SV30 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV30 @ SV33 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[242]) ).
thf(248,plain,
! [SV1: $i,SV2: $i,SV18: $i,SV20: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( iext @ SV3 @ ( sK9_Y0 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) )
| ~ ( iext @ SV20 @ ( sK10_SY30 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK11_SY32 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) ) ) )
= $false )
| ( ( ~ ( ip @ SV1 )
| ~ ( ip @ SV3 )
| ~ ( ip @ SV20 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV20 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[243]) ).
thf(249,plain,
! [SV2: $i,SV3: $i,SV18: $i,SV20: $i,SV1: $i] :
( ( ( ~ ~ ( iext @ SV1 @ ( sK9_Y0 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK11_SY32 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) ) )
= $false )
| ( ( ~ ( ip @ SV1 )
| ~ ( ip @ SV3 )
| ~ ( ip @ SV20 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV20 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[243]) ).
thf(250,plain,
! [SV24: $i,SV27: $i,SV3: $i,SV2: $i,SV1: $i] :
( ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 ) )
= $true )
| ( ( ! [SY102: $i,SY103: $i,SY104: $i] :
( ~ ( iext @ SV3 @ SY102 @ SY103 )
| ~ ( iext @ SV27 @ SY103 @ SY104 )
| ( iext @ SV1 @ SY102 @ SY104 ) ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV24 @ SV27 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV24 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV24 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[244]) ).
thf(251,plain,
! [SV1: $i,SV36: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV2 @ SV36 ) )
= $true )
| ( ( ! [SY108: $i] :
~ ( iext @ uri_rdf_first @ SV36 @ SY108 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV36 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[245]) ).
thf(252,plain,
! [SV1: $i,SV37: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV2 @ SV3 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV2 @ SV37 ) )
= $true )
| ( ( ! [SY109: $i] :
~ ( iext @ uri_rdf_first @ SV37 @ SY109 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV37 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[246]) ).
thf(253,plain,
! [SV1: $i,SV33: $i,SV3: $i,SV30: $i,SV2: $i] :
( ( ( iext @ uri_rdf_rest @ SV2 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV30 @ SV33 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[247]) ).
thf(254,plain,
! [SV1: $i,SV2: $i,SV18: $i,SV20: $i,SV3: $i] :
( ( ( ~ ( ~ ( iext @ SV3 @ ( sK9_Y0 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) )
| ~ ( iext @ SV20 @ ( sK10_SY30 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK11_SY32 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) ) ) )
= $true )
| ( ( ~ ( ip @ SV1 )
| ~ ( ip @ SV3 )
| ~ ( ip @ SV20 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV20 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[248]) ).
thf(255,plain,
! [SV2: $i,SV3: $i,SV18: $i,SV20: $i,SV1: $i] :
( ( ( ~ ( iext @ SV1 @ ( sK9_Y0 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK11_SY32 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) ) )
= $true )
| ( ( ~ ( ip @ SV1 )
| ~ ( ip @ SV3 )
| ~ ( ip @ SV20 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV20 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[249]) ).
thf(256,plain,
! [SV24: $i,SV27: $i,SV3: $i,SV2: $i,SV1: $i] :
( ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $false )
| ( ( ! [SY102: $i,SY103: $i,SY104: $i] :
( ~ ( iext @ SV3 @ SY102 @ SY103 )
| ~ ( iext @ SV27 @ SY103 @ SY104 )
| ( iext @ SV1 @ SY102 @ SY104 ) ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV24 @ SV27 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV24 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV24 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[250]) ).
thf(257,plain,
! [SV1: $i,SV36: $i,SV3: $i,SV2: $i] :
( ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV2 @ SV36 ) )
= $true )
| ( ( ! [SY108: $i] :
~ ( iext @ uri_rdf_first @ SV36 @ SY108 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV36 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[251]) ).
thf(258,plain,
! [SV1: $i,SV37: $i,SV3: $i,SV2: $i] :
( ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV2 @ SV37 ) )
= $true )
| ( ( ! [SY109: $i] :
~ ( iext @ uri_rdf_first @ SV37 @ SY109 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV37 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[252]) ).
thf(259,plain,
! [SV1: $i,SV3: $i,SV2: $i,SV33: $i,SV30: $i] :
( ( ( iext @ uri_rdf_first @ SV30 @ SV33 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV30 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[253]) ).
thf(260,plain,
! [SV1: $i,SV2: $i,SV18: $i,SV20: $i,SV3: $i] :
( ( ( ~ ( iext @ SV3 @ ( sK9_Y0 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) )
| ~ ( iext @ SV20 @ ( sK10_SY30 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK11_SY32 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) ) )
= $false )
| ( ( ~ ( ip @ SV1 )
| ~ ( ip @ SV3 )
| ~ ( ip @ SV20 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV20 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[254]) ).
thf(261,plain,
! [SV2: $i,SV3: $i,SV18: $i,SV20: $i,SV1: $i] :
( ( ( iext @ SV1 @ ( sK9_Y0 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK11_SY32 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) )
= $false )
| ( ( ~ ( ip @ SV1 )
| ~ ( ip @ SV3 )
| ~ ( ip @ SV20 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV20 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(262,plain,
! [SV24: $i,SV2: $i,SV1: $i,SV27: $i,SV38: $i,SV3: $i] :
( ( ( ! [SY110: $i,SY111: $i] :
( ~ ( iext @ SV3 @ SV38 @ SY110 )
| ~ ( iext @ SV27 @ SY110 @ SY111 )
| ( iext @ SV1 @ SV38 @ SY111 ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $false )
| ( ( iext @ uri_rdf_first @ SV24 @ SV27 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV24 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV24 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[256]) ).
thf(263,plain,
! [SV1: $i,SV3: $i,SV36: $i,SV2: $i] :
( ( ( iext @ uri_rdf_rest @ SV2 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( ! [SY108: $i] :
~ ( iext @ uri_rdf_first @ SV36 @ SY108 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV36 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[257]) ).
thf(264,plain,
! [SV1: $i,SV3: $i,SV37: $i,SV2: $i] :
( ( ( iext @ uri_rdf_rest @ SV2 @ SV37 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( ! [SY109: $i] :
~ ( iext @ uri_rdf_first @ SV37 @ SY109 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV37 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[258]) ).
thf(265,plain,
! [SV1: $i,SV33: $i,SV3: $i,SV2: $i,SV30: $i] :
( ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_first @ SV30 @ SV33 )
= $false )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[259]) ).
thf(266,plain,
! [SV1: $i,SV2: $i,SV18: $i,SV20: $i,SV3: $i] :
( ( ( ~ ( iext @ SV3 @ ( sK9_Y0 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) ) )
= $false )
| ( ( ~ ( ip @ SV1 )
| ~ ( ip @ SV3 )
| ~ ( ip @ SV20 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV20 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[260]) ).
thf(267,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV18: $i,SV20: $i] :
( ( ( ~ ( iext @ SV20 @ ( sK10_SY30 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK11_SY32 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) ) )
= $false )
| ( ( ~ ( ip @ SV1 )
| ~ ( ip @ SV3 )
| ~ ( ip @ SV20 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV20 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[260]) ).
thf(268,plain,
! [SV2: $i,SV18: $i,SV20: $i,SV3: $i,SV1: $i] :
( ( ( ~ ( ip @ SV1 )
| ~ ( ip @ SV3 ) )
= $true )
| ( ( ~ ( ip @ SV20 ) )
= $true )
| ( ( iext @ SV1 @ ( sK9_Y0 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK11_SY32 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV20 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[261]) ).
thf(269,plain,
! [SV24: $i,SV2: $i,SV1: $i,SV27: $i,SV39: $i,SV38: $i,SV3: $i] :
( ( ( ! [SY112: $i] :
( ~ ( iext @ SV3 @ SV38 @ SV39 )
| ~ ( iext @ SV27 @ SV39 @ SY112 )
| ( iext @ SV1 @ SV38 @ SY112 ) ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $false )
| ( ( iext @ uri_rdf_first @ SV24 @ SV27 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV24 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV24 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[262]) ).
thf(270,plain,
! [SV1: $i,SV3: $i,SV2: $i,SV40: $i,SV36: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV36 @ SV40 ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV36 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV36 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[263]) ).
thf(271,plain,
! [SV1: $i,SV3: $i,SV2: $i,SV41: $i,SV37: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV37 @ SV41 ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV37 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV37 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV3 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[264]) ).
thf(272,plain,
! [SV3: $i,SV30: $i,SV33: $i,SV2: $i,SV1: $i] :
( ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 ) )
= $true )
| ( ( ip @ SV33 )
= $true )
| ( ( iext @ uri_rdf_first @ SV30 @ SV33 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[265]) ).
thf(273,plain,
! [SV1: $i,SV2: $i,SV18: $i,SV20: $i,SV3: $i] :
( ( ( iext @ SV3 @ ( sK9_Y0 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) )
= $true )
| ( ( ~ ( ip @ SV1 )
| ~ ( ip @ SV3 )
| ~ ( ip @ SV20 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV20 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[266]) ).
thf(274,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV18: $i,SV20: $i] :
( ( ( iext @ SV20 @ ( sK10_SY30 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK11_SY32 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) )
= $true )
| ( ( ~ ( ip @ SV1 )
| ~ ( ip @ SV3 )
| ~ ( ip @ SV20 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV20 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[267]) ).
thf(275,plain,
! [SV2: $i,SV18: $i,SV20: $i,SV3: $i,SV1: $i] :
( ( ( ~ ( ip @ SV1 ) )
= $true )
| ( ( ~ ( ip @ SV3 ) )
= $true )
| ( ( ~ ( ip @ SV20 ) )
= $true )
| ( ( iext @ SV1 @ ( sK9_Y0 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK11_SY32 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV20 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[268]) ).
thf(276,plain,
! [SV24: $i,SV2: $i,SV1: $i,SV42: $i,SV27: $i,SV39: $i,SV38: $i,SV3: $i] :
( ( ( ~ ( iext @ SV3 @ SV38 @ SV39 )
| ~ ( iext @ SV27 @ SV39 @ SV42 )
| ( iext @ SV1 @ SV38 @ SV42 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $false )
| ( ( iext @ uri_rdf_first @ SV24 @ SV27 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV24 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV24 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[269]) ).
thf(277,plain,
! [SV1: $i,SV3: $i,SV2: $i,SV40: $i,SV36: $i] :
( ( ( iext @ uri_rdf_first @ SV36 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV36 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV36 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[270]) ).
thf(278,plain,
! [SV1: $i,SV3: $i,SV2: $i,SV41: $i,SV37: $i] :
( ( ( iext @ uri_rdf_first @ SV37 @ SV41 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV37 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV37 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[271]) ).
thf(279,plain,
! [SV3: $i,SV30: $i,SV33: $i,SV2: $i,SV1: $i] :
( ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $false )
| ( ( ip @ SV33 )
= $true )
| ( ( iext @ uri_rdf_first @ SV30 @ SV33 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV30 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[272]) ).
thf(280,plain,
! [SV2: $i,SV18: $i,SV20: $i,SV3: $i,SV1: $i] :
( ( ( ~ ( ip @ SV1 )
| ~ ( ip @ SV3 ) )
= $true )
| ( ( ~ ( ip @ SV20 ) )
= $true )
| ( ( iext @ SV3 @ ( sK9_Y0 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV20 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[273]) ).
thf(281,plain,
! [SV2: $i,SV18: $i,SV20: $i,SV3: $i,SV1: $i] :
( ( ( ~ ( ip @ SV1 )
| ~ ( ip @ SV3 ) )
= $true )
| ( ( ~ ( ip @ SV20 ) )
= $true )
| ( ( iext @ SV20 @ ( sK10_SY30 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK11_SY32 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV20 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[274]) ).
thf(282,plain,
! [SV2: $i,SV18: $i,SV20: $i,SV3: $i,SV1: $i] :
( ( ( ip @ SV1 )
= $false )
| ( ( ~ ( ip @ SV3 ) )
= $true )
| ( ( ~ ( ip @ SV20 ) )
= $true )
| ( ( iext @ SV1 @ ( sK9_Y0 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK11_SY32 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV20 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[275]) ).
thf(283,plain,
! [SV24: $i,SV2: $i,SV1: $i,SV42: $i,SV27: $i,SV39: $i,SV38: $i,SV3: $i] :
( ( ( ~ ( iext @ SV3 @ SV38 @ SV39 )
| ~ ( iext @ SV27 @ SV39 @ SV42 ) )
= $true )
| ( ( iext @ SV1 @ SV38 @ SV42 )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $false )
| ( ( iext @ uri_rdf_first @ SV24 @ SV27 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV24 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV24 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[276]) ).
thf(284,plain,
! [SV1: $i,SV40: $i,SV3: $i,SV2: $i,SV36: $i] :
( ( ( iext @ uri_rdf_rest @ SV36 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_first @ SV36 @ SV40 )
= $false )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[277]) ).
thf(285,plain,
! [SV1: $i,SV41: $i,SV3: $i,SV2: $i,SV37: $i] :
( ( ( iext @ uri_rdf_rest @ SV37 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV37 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_first @ SV37 @ SV41 )
= $false )
| ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
| ( ip @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[278]) ).
thf(286,plain,
! [SV2: $i,SV18: $i,SV20: $i,SV3: $i,SV1: $i] :
( ( ( ~ ( ip @ SV1 ) )
= $true )
| ( ( ~ ( ip @ SV3 ) )
= $true )
| ( ( ~ ( ip @ SV20 ) )
= $true )
| ( ( iext @ SV3 @ ( sK9_Y0 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV20 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[280]) ).
thf(287,plain,
! [SV2: $i,SV18: $i,SV20: $i,SV3: $i,SV1: $i] :
( ( ( ~ ( ip @ SV1 ) )
= $true )
| ( ( ~ ( ip @ SV3 ) )
= $true )
| ( ( ~ ( ip @ SV20 ) )
= $true )
| ( ( iext @ SV20 @ ( sK10_SY30 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK11_SY32 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV20 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[281]) ).
thf(288,plain,
! [SV2: $i,SV18: $i,SV20: $i,SV1: $i,SV3: $i] :
( ( ( ip @ SV3 )
= $false )
| ( ( ip @ SV1 )
= $false )
| ( ( ~ ( ip @ SV20 ) )
= $true )
| ( ( iext @ SV1 @ ( sK9_Y0 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK11_SY32 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV20 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[282]) ).
thf(289,plain,
! [SV24: $i,SV2: $i,SV1: $i,SV42: $i,SV27: $i,SV39: $i,SV38: $i,SV3: $i] :
( ( ( ~ ( iext @ SV3 @ SV38 @ SV39 ) )
= $true )
| ( ( ~ ( iext @ SV27 @ SV39 @ SV42 ) )
= $true )
| ( ( iext @ SV1 @ SV38 @ SV42 )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $false )
| ( ( iext @ uri_rdf_first @ SV24 @ SV27 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV24 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV24 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[283]) ).
thf(290,plain,
! [SV3: $i,SV40: $i,SV36: $i,SV2: $i,SV1: $i] :
( ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 ) )
= $true )
| ( ( ip @ SV1 )
= $true )
| ( ( iext @ uri_rdf_first @ SV36 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV36 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[284]) ).
thf(291,plain,
! [SV41: $i,SV37: $i,SV3: $i,SV2: $i,SV1: $i] :
( ( ( ~ ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 ) )
= $true )
| ( ( ip @ SV3 )
= $true )
| ( ( iext @ uri_rdf_first @ SV37 @ SV41 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV37 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV37 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[285]) ).
thf(292,plain,
! [SV2: $i,SV18: $i,SV20: $i,SV3: $i,SV1: $i] :
( ( ( ip @ SV1 )
= $false )
| ( ( ~ ( ip @ SV3 ) )
= $true )
| ( ( ~ ( ip @ SV20 ) )
= $true )
| ( ( iext @ SV3 @ ( sK9_Y0 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV20 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[286]) ).
thf(293,plain,
! [SV2: $i,SV18: $i,SV20: $i,SV3: $i,SV1: $i] :
( ( ( ip @ SV1 )
= $false )
| ( ( ~ ( ip @ SV3 ) )
= $true )
| ( ( ~ ( ip @ SV20 ) )
= $true )
| ( ( iext @ SV20 @ ( sK10_SY30 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK11_SY32 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV20 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[287]) ).
thf(294,plain,
! [SV2: $i,SV18: $i,SV3: $i,SV1: $i,SV20: $i] :
( ( ( ip @ SV20 )
= $false )
| ( ( ip @ SV1 )
= $false )
| ( ( ip @ SV3 )
= $false )
| ( ( iext @ SV1 @ ( sK9_Y0 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK11_SY32 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) )
= $false )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV20 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[288]) ).
thf(295,plain,
! [SV24: $i,SV2: $i,SV1: $i,SV42: $i,SV27: $i,SV39: $i,SV38: $i,SV3: $i] :
( ( ( iext @ SV3 @ SV38 @ SV39 )
= $false )
| ( ( ~ ( iext @ SV27 @ SV39 @ SV42 ) )
= $true )
| ( ( iext @ SV1 @ SV38 @ SV42 )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $false )
| ( ( iext @ uri_rdf_first @ SV24 @ SV27 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV24 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV24 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[289]) ).
thf(296,plain,
! [SV3: $i,SV40: $i,SV36: $i,SV2: $i,SV1: $i] :
( ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $false )
| ( ( ip @ SV1 )
= $true )
| ( ( iext @ uri_rdf_first @ SV36 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV36 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[290]) ).
thf(297,plain,
! [SV41: $i,SV37: $i,SV3: $i,SV2: $i,SV1: $i] :
( ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $false )
| ( ( ip @ SV3 )
= $true )
| ( ( iext @ uri_rdf_first @ SV37 @ SV41 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV37 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV37 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(298,plain,
! [SV2: $i,SV18: $i,SV20: $i,SV1: $i,SV3: $i] :
( ( ( ip @ SV3 )
= $false )
| ( ( ip @ SV1 )
= $false )
| ( ( ~ ( ip @ SV20 ) )
= $true )
| ( ( iext @ SV3 @ ( sK9_Y0 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV20 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(299,plain,
! [SV2: $i,SV18: $i,SV20: $i,SV1: $i,SV3: $i] :
( ( ( ip @ SV3 )
= $false )
| ( ( ip @ SV1 )
= $false )
| ( ( ~ ( ip @ SV20 ) )
= $true )
| ( ( iext @ SV20 @ ( sK10_SY30 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK11_SY32 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV20 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[293]) ).
thf(300,plain,
! [SV24: $i,SV2: $i,SV1: $i,SV38: $i,SV3: $i,SV42: $i,SV39: $i,SV27: $i] :
( ( ( iext @ SV27 @ SV39 @ SV42 )
= $false )
| ( ( iext @ SV3 @ SV38 @ SV39 )
= $false )
| ( ( iext @ SV1 @ SV38 @ SV42 )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $false )
| ( ( iext @ uri_rdf_first @ SV24 @ SV27 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV24 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV24 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[295]) ).
thf(301,plain,
! [SV2: $i,SV18: $i,SV3: $i,SV1: $i,SV20: $i] :
( ( ( ip @ SV20 )
= $false )
| ( ( ip @ SV1 )
= $false )
| ( ( ip @ SV3 )
= $false )
| ( ( iext @ SV3 @ ( sK9_Y0 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK10_SY30 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV20 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[298]) ).
thf(302,plain,
! [SV2: $i,SV18: $i,SV3: $i,SV1: $i,SV20: $i] :
( ( ( ip @ SV20 )
= $false )
| ( ( ip @ SV1 )
= $false )
| ( ( ip @ SV3 )
= $false )
| ( ( iext @ SV20 @ ( sK10_SY30 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) @ ( sK11_SY32 @ SV20 @ SV18 @ SV3 @ SV2 @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_propertyChainAxiom @ SV1 @ SV2 )
= $true )
| ( ( iext @ uri_rdf_first @ SV18 @ SV20 )
= $false )
| ( ( iext @ uri_rdf_first @ SV2 @ SV3 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV2 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV18 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[299]) ).
thf(303,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[36,302,301,300,297,296,294,279,232,231,223,222,221,220,201,193,192,186,185,184,157,142,132,114,113,110,109,102,64]) ).
thf(304,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[303]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWB027+2 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jun 1 13:55:11 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.35
% 0.13/0.35 No.of.Axioms: 6
% 0.13/0.35
% 0.13/0.35 Length.of.Defs: 0
% 0.13/0.35
% 0.13/0.35 Contains.Choice.Funs: false
% 0.13/0.36 (rf:0,axioms:6,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:8,loop_count:0,foatp_calls:0,translation:fof_full)...........................
% 0.39/0.65
% 0.39/0.65 ********************************
% 0.39/0.65 * All subproblems solved! *
% 0.39/0.65 ********************************
% 0.39/0.65 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:6,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:303,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.51/0.71
% 0.51/0.71 %**** Beginning of derivation protocol ****
% 0.51/0.71 % SZS output start CNFRefutation
% See solution above
% 0.51/0.71
% 0.51/0.71 %**** End of derivation protocol ****
% 0.51/0.71 %**** no. of clauses in derivation: 304 ****
% 0.51/0.71 %**** clause counter: 303 ****
% 0.51/0.71
% 0.51/0.71 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:6,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:303,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------