TSTP Solution File: SWB066+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWB066+1 : TPTP v5.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art07.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Fri Mar 4 00:45:24 EST 2011
% Result : Theorem 0.51s
% Output : CNFRefutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 9
% Syntax : Number of formulae : 128 ( 34 unt; 0 def)
% Number of atoms : 577 ( 43 equ)
% Maximal formula atoms : 26 ( 4 avg)
% Number of connectives : 697 ( 248 ~; 287 |; 150 &)
% ( 7 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 28 ( 28 usr; 21 con; 0-3 aty)
% Number of variables : 232 ( 11 sgn 119 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof(4,axiom,
! [X1,X2] :
( iext(uri_owl_oneOf,X1,X2)
=> ( ic(X1)
& icext(uri_rdf_List,X2) ) ),
file('/tmp/tmpiCA9mA/sel_SWB066+1.p_1',owl_prop_oneof_ext) ).
fof(5,axiom,
! [X3,X4] :
( iext(uri_rdfs_domain,X3,X4)
<=> ( ip(X3)
& ic(X4)
& ! [X1,X2] :
( iext(X3,X1,X2)
=> icext(X4,X1) ) ) ),
file('/tmp/tmpiCA9mA/sel_SWB066+1.p_1',owl_rdfsext_domain) ).
fof(16,axiom,
! [X5,X6,X12] :
( ( iext(uri_rdf_first,X6,X12)
& iext(uri_rdf_rest,X6,uri_rdf_nil) )
=> ( iext(uri_owl_oneOf,X5,X6)
<=> ( ic(X5)
& ! [X1] :
( icext(X5,X1)
<=> X1 = X12 ) ) ) ),
file('/tmp/tmpiCA9mA/sel_SWB066+1.p_1',owl_enum_class_001) ).
fof(23,axiom,
! [X15,X16] :
( iext(uri_owl_inverseOf,X15,X16)
<=> ( ip(X15)
& ip(X16)
& ! [X1,X2] :
( iext(X15,X1,X2)
<=> iext(X16,X2,X1) ) ) ),
file('/tmp/tmpiCA9mA/sel_SWB066+1.p_1',owl_inv) ).
fof(26,axiom,
! [X3,X4] :
( iext(uri_rdfs_range,X3,X4)
<=> ( ip(X3)
& ip(X4)
& ! [X1,X2] :
( iext(X3,X1,X2)
=> icext(X4,X2) ) ) ),
file('/tmp/tmpiCA9mA/sel_SWB066+1.p_1',owl_rdfsext_range) ).
fof(27,axiom,
! [X17,X3,X18] :
( iext(X3,X17,X18)
=> ip(X3) ),
file('/tmp/tmpiCA9mA/sel_SWB066+1.p_1',simple_iext_property) ).
fof(38,axiom,
! [X1,X4] :
( iext(uri_rdf_type,X1,X4)
<=> icext(X4,X1) ),
file('/tmp/tmpiCA9mA/sel_SWB066+1.p_1',rdfs_cext_def) ).
fof(41,conjecture,
iext(uri_owl_inverseOf,uri_ex_q,uri_ex_p),
file('/tmp/tmpiCA9mA/sel_SWB066+1.p_1',conclusion_rdfbased_sem_inv_ext) ).
fof(42,axiom,
? [X19,X20,X21,X22,X23,X24,X25,X26] :
( iext(uri_owl_oneOf,X21,X25)
& iext(uri_rdfs_domain,uri_ex_p,X26)
& iext(uri_rdfs_range,uri_ex_p,X19)
& iext(uri_owl_oneOf,X19,X23)
& iext(uri_rdf_first,X24,uri_ex_s)
& iext(uri_rdf_rest,X24,uri_rdf_nil)
& iext(uri_ex_p,uri_ex_s,uri_ex_o)
& iext(uri_rdf_first,X25,uri_ex_o)
& iext(uri_rdf_rest,X25,uri_rdf_nil)
& iext(uri_owl_oneOf,X22,X24)
& iext(uri_rdfs_domain,uri_ex_q,X21)
& iext(uri_rdfs_range,uri_ex_q,X22)
& iext(uri_ex_q,uri_ex_o,uri_ex_s)
& iext(uri_rdf_first,X20,uri_ex_s)
& iext(uri_rdf_rest,X20,uri_rdf_nil)
& iext(uri_rdf_first,X23,uri_ex_o)
& iext(uri_rdf_rest,X23,uri_rdf_nil)
& iext(uri_owl_oneOf,X26,X20) ),
file('/tmp/tmpiCA9mA/sel_SWB066+1.p_1',premise_rdfbased_sem_inv_ext) ).
fof(43,negated_conjecture,
~ iext(uri_owl_inverseOf,uri_ex_q,uri_ex_p),
inference(assume_negation,[status(cth)],[41]) ).
fof(45,negated_conjecture,
~ iext(uri_owl_inverseOf,uri_ex_q,uri_ex_p),
inference(fof_simplification,[status(thm)],[43,theory(equality)]) ).
fof(52,plain,
! [X1,X2] :
( ~ iext(uri_owl_oneOf,X1,X2)
| ( ic(X1)
& icext(uri_rdf_List,X2) ) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(53,plain,
! [X3,X4] :
( ~ iext(uri_owl_oneOf,X3,X4)
| ( ic(X3)
& icext(uri_rdf_List,X4) ) ),
inference(variable_rename,[status(thm)],[52]) ).
fof(54,plain,
! [X3,X4] :
( ( ic(X3)
| ~ iext(uri_owl_oneOf,X3,X4) )
& ( icext(uri_rdf_List,X4)
| ~ iext(uri_owl_oneOf,X3,X4) ) ),
inference(distribute,[status(thm)],[53]) ).
cnf(56,plain,
( ic(X1)
| ~ iext(uri_owl_oneOf,X1,X2) ),
inference(split_conjunct,[status(thm)],[54]) ).
fof(57,plain,
! [X3,X4] :
( ( ~ iext(uri_rdfs_domain,X3,X4)
| ( ip(X3)
& ic(X4)
& ! [X1,X2] :
( ~ iext(X3,X1,X2)
| icext(X4,X1) ) ) )
& ( ~ ip(X3)
| ~ ic(X4)
| ? [X1,X2] :
( iext(X3,X1,X2)
& ~ icext(X4,X1) )
| iext(uri_rdfs_domain,X3,X4) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(58,plain,
! [X5,X6] :
( ( ~ iext(uri_rdfs_domain,X5,X6)
| ( ip(X5)
& ic(X6)
& ! [X7,X8] :
( ~ iext(X5,X7,X8)
| icext(X6,X7) ) ) )
& ( ~ ip(X5)
| ~ ic(X6)
| ? [X9,X10] :
( iext(X5,X9,X10)
& ~ icext(X6,X9) )
| iext(uri_rdfs_domain,X5,X6) ) ),
inference(variable_rename,[status(thm)],[57]) ).
fof(59,plain,
! [X5,X6] :
( ( ~ iext(uri_rdfs_domain,X5,X6)
| ( ip(X5)
& ic(X6)
& ! [X7,X8] :
( ~ iext(X5,X7,X8)
| icext(X6,X7) ) ) )
& ( ~ ip(X5)
| ~ ic(X6)
| ( iext(X5,esk1_2(X5,X6),esk2_2(X5,X6))
& ~ icext(X6,esk1_2(X5,X6)) )
| iext(uri_rdfs_domain,X5,X6) ) ),
inference(skolemize,[status(esa)],[58]) ).
fof(60,plain,
! [X5,X6,X7,X8] :
( ( ( ( ~ iext(X5,X7,X8)
| icext(X6,X7) )
& ip(X5)
& ic(X6) )
| ~ iext(uri_rdfs_domain,X5,X6) )
& ( ~ ip(X5)
| ~ ic(X6)
| ( iext(X5,esk1_2(X5,X6),esk2_2(X5,X6))
& ~ icext(X6,esk1_2(X5,X6)) )
| iext(uri_rdfs_domain,X5,X6) ) ),
inference(shift_quantors,[status(thm)],[59]) ).
fof(61,plain,
! [X5,X6,X7,X8] :
( ( ~ iext(X5,X7,X8)
| icext(X6,X7)
| ~ iext(uri_rdfs_domain,X5,X6) )
& ( ip(X5)
| ~ iext(uri_rdfs_domain,X5,X6) )
& ( ic(X6)
| ~ iext(uri_rdfs_domain,X5,X6) )
& ( iext(X5,esk1_2(X5,X6),esk2_2(X5,X6))
| ~ ip(X5)
| ~ ic(X6)
| iext(uri_rdfs_domain,X5,X6) )
& ( ~ icext(X6,esk1_2(X5,X6))
| ~ ip(X5)
| ~ ic(X6)
| iext(uri_rdfs_domain,X5,X6) ) ),
inference(distribute,[status(thm)],[60]) ).
cnf(62,plain,
( iext(uri_rdfs_domain,X1,X2)
| ~ ic(X2)
| ~ ip(X1)
| ~ icext(X2,esk1_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[61]) ).
cnf(63,plain,
( iext(uri_rdfs_domain,X1,X2)
| iext(X1,esk1_2(X1,X2),esk2_2(X1,X2))
| ~ ic(X2)
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[61]) ).
cnf(65,plain,
( ip(X1)
| ~ iext(uri_rdfs_domain,X1,X2) ),
inference(split_conjunct,[status(thm)],[61]) ).
cnf(66,plain,
( icext(X2,X3)
| ~ iext(uri_rdfs_domain,X1,X2)
| ~ iext(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[61]) ).
fof(96,plain,
! [X5,X6,X12] :
( ~ iext(uri_rdf_first,X6,X12)
| ~ iext(uri_rdf_rest,X6,uri_rdf_nil)
| ( ( ~ iext(uri_owl_oneOf,X5,X6)
| ( ic(X5)
& ! [X1] :
( ( ~ icext(X5,X1)
| X1 = X12 )
& ( X1 != X12
| icext(X5,X1) ) ) ) )
& ( ~ ic(X5)
| ? [X1] :
( ( ~ icext(X5,X1)
| X1 != X12 )
& ( icext(X5,X1)
| X1 = X12 ) )
| iext(uri_owl_oneOf,X5,X6) ) ) ),
inference(fof_nnf,[status(thm)],[16]) ).
fof(97,plain,
! [X13,X14,X15] :
( ~ iext(uri_rdf_first,X14,X15)
| ~ iext(uri_rdf_rest,X14,uri_rdf_nil)
| ( ( ~ iext(uri_owl_oneOf,X13,X14)
| ( ic(X13)
& ! [X16] :
( ( ~ icext(X13,X16)
| X16 = X15 )
& ( X16 != X15
| icext(X13,X16) ) ) ) )
& ( ~ ic(X13)
| ? [X17] :
( ( ~ icext(X13,X17)
| X17 != X15 )
& ( icext(X13,X17)
| X17 = X15 ) )
| iext(uri_owl_oneOf,X13,X14) ) ) ),
inference(variable_rename,[status(thm)],[96]) ).
fof(98,plain,
! [X13,X14,X15] :
( ~ iext(uri_rdf_first,X14,X15)
| ~ iext(uri_rdf_rest,X14,uri_rdf_nil)
| ( ( ~ iext(uri_owl_oneOf,X13,X14)
| ( ic(X13)
& ! [X16] :
( ( ~ icext(X13,X16)
| X16 = X15 )
& ( X16 != X15
| icext(X13,X16) ) ) ) )
& ( ~ ic(X13)
| ( ( ~ icext(X13,esk5_3(X13,X14,X15))
| esk5_3(X13,X14,X15) != X15 )
& ( icext(X13,esk5_3(X13,X14,X15))
| esk5_3(X13,X14,X15) = X15 ) )
| iext(uri_owl_oneOf,X13,X14) ) ) ),
inference(skolemize,[status(esa)],[97]) ).
fof(99,plain,
! [X13,X14,X15,X16] :
( ( ( ( ( ~ icext(X13,X16)
| X16 = X15 )
& ( X16 != X15
| icext(X13,X16) )
& ic(X13) )
| ~ iext(uri_owl_oneOf,X13,X14) )
& ( ~ ic(X13)
| ( ( ~ icext(X13,esk5_3(X13,X14,X15))
| esk5_3(X13,X14,X15) != X15 )
& ( icext(X13,esk5_3(X13,X14,X15))
| esk5_3(X13,X14,X15) = X15 ) )
| iext(uri_owl_oneOf,X13,X14) ) )
| ~ iext(uri_rdf_first,X14,X15)
| ~ iext(uri_rdf_rest,X14,uri_rdf_nil) ),
inference(shift_quantors,[status(thm)],[98]) ).
fof(100,plain,
! [X13,X14,X15,X16] :
( ( ~ icext(X13,X16)
| X16 = X15
| ~ iext(uri_owl_oneOf,X13,X14)
| ~ iext(uri_rdf_first,X14,X15)
| ~ iext(uri_rdf_rest,X14,uri_rdf_nil) )
& ( X16 != X15
| icext(X13,X16)
| ~ iext(uri_owl_oneOf,X13,X14)
| ~ iext(uri_rdf_first,X14,X15)
| ~ iext(uri_rdf_rest,X14,uri_rdf_nil) )
& ( ic(X13)
| ~ iext(uri_owl_oneOf,X13,X14)
| ~ iext(uri_rdf_first,X14,X15)
| ~ iext(uri_rdf_rest,X14,uri_rdf_nil) )
& ( ~ icext(X13,esk5_3(X13,X14,X15))
| esk5_3(X13,X14,X15) != X15
| ~ ic(X13)
| iext(uri_owl_oneOf,X13,X14)
| ~ iext(uri_rdf_first,X14,X15)
| ~ iext(uri_rdf_rest,X14,uri_rdf_nil) )
& ( icext(X13,esk5_3(X13,X14,X15))
| esk5_3(X13,X14,X15) = X15
| ~ ic(X13)
| iext(uri_owl_oneOf,X13,X14)
| ~ iext(uri_rdf_first,X14,X15)
| ~ iext(uri_rdf_rest,X14,uri_rdf_nil) ) ),
inference(distribute,[status(thm)],[99]) ).
cnf(105,plain,
( X4 = X2
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_owl_oneOf,X3,X1)
| ~ icext(X3,X4) ),
inference(split_conjunct,[status(thm)],[100]) ).
fof(145,plain,
! [X15,X16] :
( ( ~ iext(uri_owl_inverseOf,X15,X16)
| ( ip(X15)
& ip(X16)
& ! [X1,X2] :
( ( ~ iext(X15,X1,X2)
| iext(X16,X2,X1) )
& ( ~ iext(X16,X2,X1)
| iext(X15,X1,X2) ) ) ) )
& ( ~ ip(X15)
| ~ ip(X16)
| ? [X1,X2] :
( ( ~ iext(X15,X1,X2)
| ~ iext(X16,X2,X1) )
& ( iext(X15,X1,X2)
| iext(X16,X2,X1) ) )
| iext(uri_owl_inverseOf,X15,X16) ) ),
inference(fof_nnf,[status(thm)],[23]) ).
fof(146,plain,
! [X17,X18] :
( ( ~ iext(uri_owl_inverseOf,X17,X18)
| ( ip(X17)
& ip(X18)
& ! [X19,X20] :
( ( ~ iext(X17,X19,X20)
| iext(X18,X20,X19) )
& ( ~ iext(X18,X20,X19)
| iext(X17,X19,X20) ) ) ) )
& ( ~ ip(X17)
| ~ ip(X18)
| ? [X21,X22] :
( ( ~ iext(X17,X21,X22)
| ~ iext(X18,X22,X21) )
& ( iext(X17,X21,X22)
| iext(X18,X22,X21) ) )
| iext(uri_owl_inverseOf,X17,X18) ) ),
inference(variable_rename,[status(thm)],[145]) ).
fof(147,plain,
! [X17,X18] :
( ( ~ iext(uri_owl_inverseOf,X17,X18)
| ( ip(X17)
& ip(X18)
& ! [X19,X20] :
( ( ~ iext(X17,X19,X20)
| iext(X18,X20,X19) )
& ( ~ iext(X18,X20,X19)
| iext(X17,X19,X20) ) ) ) )
& ( ~ ip(X17)
| ~ ip(X18)
| ( ( ~ iext(X17,esk8_2(X17,X18),esk9_2(X17,X18))
| ~ iext(X18,esk9_2(X17,X18),esk8_2(X17,X18)) )
& ( iext(X17,esk8_2(X17,X18),esk9_2(X17,X18))
| iext(X18,esk9_2(X17,X18),esk8_2(X17,X18)) ) )
| iext(uri_owl_inverseOf,X17,X18) ) ),
inference(skolemize,[status(esa)],[146]) ).
fof(148,plain,
! [X17,X18,X19,X20] :
( ( ( ( ~ iext(X17,X19,X20)
| iext(X18,X20,X19) )
& ( ~ iext(X18,X20,X19)
| iext(X17,X19,X20) )
& ip(X17)
& ip(X18) )
| ~ iext(uri_owl_inverseOf,X17,X18) )
& ( ~ ip(X17)
| ~ ip(X18)
| ( ( ~ iext(X17,esk8_2(X17,X18),esk9_2(X17,X18))
| ~ iext(X18,esk9_2(X17,X18),esk8_2(X17,X18)) )
& ( iext(X17,esk8_2(X17,X18),esk9_2(X17,X18))
| iext(X18,esk9_2(X17,X18),esk8_2(X17,X18)) ) )
| iext(uri_owl_inverseOf,X17,X18) ) ),
inference(shift_quantors,[status(thm)],[147]) ).
fof(149,plain,
! [X17,X18,X19,X20] :
( ( ~ iext(X17,X19,X20)
| iext(X18,X20,X19)
| ~ iext(uri_owl_inverseOf,X17,X18) )
& ( ~ iext(X18,X20,X19)
| iext(X17,X19,X20)
| ~ iext(uri_owl_inverseOf,X17,X18) )
& ( ip(X17)
| ~ iext(uri_owl_inverseOf,X17,X18) )
& ( ip(X18)
| ~ iext(uri_owl_inverseOf,X17,X18) )
& ( ~ iext(X17,esk8_2(X17,X18),esk9_2(X17,X18))
| ~ iext(X18,esk9_2(X17,X18),esk8_2(X17,X18))
| ~ ip(X17)
| ~ ip(X18)
| iext(uri_owl_inverseOf,X17,X18) )
& ( iext(X17,esk8_2(X17,X18),esk9_2(X17,X18))
| iext(X18,esk9_2(X17,X18),esk8_2(X17,X18))
| ~ ip(X17)
| ~ ip(X18)
| iext(uri_owl_inverseOf,X17,X18) ) ),
inference(distribute,[status(thm)],[148]) ).
cnf(150,plain,
( iext(uri_owl_inverseOf,X1,X2)
| iext(X2,esk9_2(X1,X2),esk8_2(X1,X2))
| iext(X1,esk8_2(X1,X2),esk9_2(X1,X2))
| ~ ip(X2)
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[149]) ).
cnf(151,plain,
( iext(uri_owl_inverseOf,X1,X2)
| ~ ip(X2)
| ~ ip(X1)
| ~ iext(X2,esk9_2(X1,X2),esk8_2(X1,X2))
| ~ iext(X1,esk8_2(X1,X2),esk9_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[149]) ).
fof(163,plain,
! [X3,X4] :
( ( ~ iext(uri_rdfs_range,X3,X4)
| ( ip(X3)
& ip(X4)
& ! [X1,X2] :
( ~ iext(X3,X1,X2)
| icext(X4,X2) ) ) )
& ( ~ ip(X3)
| ~ ip(X4)
| ? [X1,X2] :
( iext(X3,X1,X2)
& ~ icext(X4,X2) )
| iext(uri_rdfs_range,X3,X4) ) ),
inference(fof_nnf,[status(thm)],[26]) ).
fof(164,plain,
! [X5,X6] :
( ( ~ iext(uri_rdfs_range,X5,X6)
| ( ip(X5)
& ip(X6)
& ! [X7,X8] :
( ~ iext(X5,X7,X8)
| icext(X6,X8) ) ) )
& ( ~ ip(X5)
| ~ ip(X6)
| ? [X9,X10] :
( iext(X5,X9,X10)
& ~ icext(X6,X10) )
| iext(uri_rdfs_range,X5,X6) ) ),
inference(variable_rename,[status(thm)],[163]) ).
fof(165,plain,
! [X5,X6] :
( ( ~ iext(uri_rdfs_range,X5,X6)
| ( ip(X5)
& ip(X6)
& ! [X7,X8] :
( ~ iext(X5,X7,X8)
| icext(X6,X8) ) ) )
& ( ~ ip(X5)
| ~ ip(X6)
| ( iext(X5,esk10_2(X5,X6),esk11_2(X5,X6))
& ~ icext(X6,esk11_2(X5,X6)) )
| iext(uri_rdfs_range,X5,X6) ) ),
inference(skolemize,[status(esa)],[164]) ).
fof(166,plain,
! [X5,X6,X7,X8] :
( ( ( ( ~ iext(X5,X7,X8)
| icext(X6,X8) )
& ip(X5)
& ip(X6) )
| ~ iext(uri_rdfs_range,X5,X6) )
& ( ~ ip(X5)
| ~ ip(X6)
| ( iext(X5,esk10_2(X5,X6),esk11_2(X5,X6))
& ~ icext(X6,esk11_2(X5,X6)) )
| iext(uri_rdfs_range,X5,X6) ) ),
inference(shift_quantors,[status(thm)],[165]) ).
fof(167,plain,
! [X5,X6,X7,X8] :
( ( ~ iext(X5,X7,X8)
| icext(X6,X8)
| ~ iext(uri_rdfs_range,X5,X6) )
& ( ip(X5)
| ~ iext(uri_rdfs_range,X5,X6) )
& ( ip(X6)
| ~ iext(uri_rdfs_range,X5,X6) )
& ( iext(X5,esk10_2(X5,X6),esk11_2(X5,X6))
| ~ ip(X5)
| ~ ip(X6)
| iext(uri_rdfs_range,X5,X6) )
& ( ~ icext(X6,esk11_2(X5,X6))
| ~ ip(X5)
| ~ ip(X6)
| iext(uri_rdfs_range,X5,X6) ) ),
inference(distribute,[status(thm)],[166]) ).
cnf(172,plain,
( icext(X2,X3)
| ~ iext(uri_rdfs_range,X1,X2)
| ~ iext(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[167]) ).
fof(173,plain,
! [X17,X3,X18] :
( ~ iext(X3,X17,X18)
| ip(X3) ),
inference(fof_nnf,[status(thm)],[27]) ).
fof(174,plain,
! [X19,X20,X21] :
( ~ iext(X20,X19,X21)
| ip(X20) ),
inference(variable_rename,[status(thm)],[173]) ).
cnf(175,plain,
( ip(X1)
| ~ iext(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[174]) ).
fof(208,plain,
! [X1,X4] :
( ( ~ iext(uri_rdf_type,X1,X4)
| icext(X4,X1) )
& ( ~ icext(X4,X1)
| iext(uri_rdf_type,X1,X4) ) ),
inference(fof_nnf,[status(thm)],[38]) ).
fof(209,plain,
! [X5,X6] :
( ( ~ iext(uri_rdf_type,X5,X6)
| icext(X6,X5) )
& ( ~ icext(X6,X5)
| iext(uri_rdf_type,X5,X6) ) ),
inference(variable_rename,[status(thm)],[208]) ).
cnf(210,plain,
( iext(uri_rdf_type,X1,X2)
| ~ icext(X2,X1) ),
inference(split_conjunct,[status(thm)],[209]) ).
cnf(211,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_type,X2,X1) ),
inference(split_conjunct,[status(thm)],[209]) ).
cnf(214,negated_conjecture,
~ iext(uri_owl_inverseOf,uri_ex_q,uri_ex_p),
inference(split_conjunct,[status(thm)],[45]) ).
fof(215,plain,
? [X27,X28,X29,X30,X31,X32,X33,X34] :
( iext(uri_owl_oneOf,X29,X33)
& iext(uri_rdfs_domain,uri_ex_p,X34)
& iext(uri_rdfs_range,uri_ex_p,X27)
& iext(uri_owl_oneOf,X27,X31)
& iext(uri_rdf_first,X32,uri_ex_s)
& iext(uri_rdf_rest,X32,uri_rdf_nil)
& iext(uri_ex_p,uri_ex_s,uri_ex_o)
& iext(uri_rdf_first,X33,uri_ex_o)
& iext(uri_rdf_rest,X33,uri_rdf_nil)
& iext(uri_owl_oneOf,X30,X32)
& iext(uri_rdfs_domain,uri_ex_q,X29)
& iext(uri_rdfs_range,uri_ex_q,X30)
& iext(uri_ex_q,uri_ex_o,uri_ex_s)
& iext(uri_rdf_first,X28,uri_ex_s)
& iext(uri_rdf_rest,X28,uri_rdf_nil)
& iext(uri_rdf_first,X31,uri_ex_o)
& iext(uri_rdf_rest,X31,uri_rdf_nil)
& iext(uri_owl_oneOf,X34,X28) ),
inference(variable_rename,[status(thm)],[42]) ).
fof(216,plain,
( iext(uri_owl_oneOf,esk14_0,esk18_0)
& iext(uri_rdfs_domain,uri_ex_p,esk19_0)
& iext(uri_rdfs_range,uri_ex_p,esk12_0)
& iext(uri_owl_oneOf,esk12_0,esk16_0)
& iext(uri_rdf_first,esk17_0,uri_ex_s)
& iext(uri_rdf_rest,esk17_0,uri_rdf_nil)
& iext(uri_ex_p,uri_ex_s,uri_ex_o)
& iext(uri_rdf_first,esk18_0,uri_ex_o)
& iext(uri_rdf_rest,esk18_0,uri_rdf_nil)
& iext(uri_owl_oneOf,esk15_0,esk17_0)
& iext(uri_rdfs_domain,uri_ex_q,esk14_0)
& iext(uri_rdfs_range,uri_ex_q,esk15_0)
& iext(uri_ex_q,uri_ex_o,uri_ex_s)
& iext(uri_rdf_first,esk13_0,uri_ex_s)
& iext(uri_rdf_rest,esk13_0,uri_rdf_nil)
& iext(uri_rdf_first,esk16_0,uri_ex_o)
& iext(uri_rdf_rest,esk16_0,uri_rdf_nil)
& iext(uri_owl_oneOf,esk19_0,esk13_0) ),
inference(skolemize,[status(esa)],[215]) ).
cnf(217,plain,
iext(uri_owl_oneOf,esk19_0,esk13_0),
inference(split_conjunct,[status(thm)],[216]) ).
cnf(218,plain,
iext(uri_rdf_rest,esk16_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[216]) ).
cnf(219,plain,
iext(uri_rdf_first,esk16_0,uri_ex_o),
inference(split_conjunct,[status(thm)],[216]) ).
cnf(220,plain,
iext(uri_rdf_rest,esk13_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[216]) ).
cnf(221,plain,
iext(uri_rdf_first,esk13_0,uri_ex_s),
inference(split_conjunct,[status(thm)],[216]) ).
cnf(222,plain,
iext(uri_ex_q,uri_ex_o,uri_ex_s),
inference(split_conjunct,[status(thm)],[216]) ).
cnf(223,plain,
iext(uri_rdfs_range,uri_ex_q,esk15_0),
inference(split_conjunct,[status(thm)],[216]) ).
cnf(224,plain,
iext(uri_rdfs_domain,uri_ex_q,esk14_0),
inference(split_conjunct,[status(thm)],[216]) ).
cnf(225,plain,
iext(uri_owl_oneOf,esk15_0,esk17_0),
inference(split_conjunct,[status(thm)],[216]) ).
cnf(226,plain,
iext(uri_rdf_rest,esk18_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[216]) ).
cnf(227,plain,
iext(uri_rdf_first,esk18_0,uri_ex_o),
inference(split_conjunct,[status(thm)],[216]) ).
cnf(228,plain,
iext(uri_ex_p,uri_ex_s,uri_ex_o),
inference(split_conjunct,[status(thm)],[216]) ).
cnf(229,plain,
iext(uri_rdf_rest,esk17_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[216]) ).
cnf(230,plain,
iext(uri_rdf_first,esk17_0,uri_ex_s),
inference(split_conjunct,[status(thm)],[216]) ).
cnf(231,plain,
iext(uri_owl_oneOf,esk12_0,esk16_0),
inference(split_conjunct,[status(thm)],[216]) ).
cnf(232,plain,
iext(uri_rdfs_range,uri_ex_p,esk12_0),
inference(split_conjunct,[status(thm)],[216]) ).
cnf(233,plain,
iext(uri_rdfs_domain,uri_ex_p,esk19_0),
inference(split_conjunct,[status(thm)],[216]) ).
cnf(234,plain,
iext(uri_owl_oneOf,esk14_0,esk18_0),
inference(split_conjunct,[status(thm)],[216]) ).
cnf(260,plain,
ic(esk12_0),
inference(spm,[status(thm)],[56,231,theory(equality)]) ).
cnf(268,plain,
ip(uri_ex_q),
inference(spm,[status(thm)],[65,224,theory(equality)]) ).
cnf(269,plain,
ip(uri_ex_p),
inference(spm,[status(thm)],[65,233,theory(equality)]) ).
cnf(318,plain,
( iext(uri_rdfs_domain,X1,X2)
| ~ ip(X1)
| ~ ic(X2)
| ~ iext(uri_rdf_type,esk1_2(X1,X2),X2) ),
inference(spm,[status(thm)],[62,211,theory(equality)]) ).
cnf(321,plain,
( icext(esk15_0,X1)
| ~ iext(uri_ex_q,X2,X1) ),
inference(spm,[status(thm)],[172,223,theory(equality)]) ).
cnf(322,plain,
( icext(esk12_0,X1)
| ~ iext(uri_ex_p,X2,X1) ),
inference(spm,[status(thm)],[172,232,theory(equality)]) ).
cnf(326,plain,
( icext(esk14_0,X1)
| ~ iext(uri_ex_q,X1,X2) ),
inference(spm,[status(thm)],[66,224,theory(equality)]) ).
cnf(327,plain,
( icext(esk19_0,X1)
| ~ iext(uri_ex_p,X1,X2) ),
inference(spm,[status(thm)],[66,233,theory(equality)]) ).
cnf(335,plain,
( X1 = X2
| ~ icext(esk12_0,X2)
| ~ iext(uri_rdf_rest,esk16_0,uri_rdf_nil)
| ~ iext(uri_rdf_first,esk16_0,X1) ),
inference(spm,[status(thm)],[105,231,theory(equality)]) ).
cnf(336,plain,
( X1 = X2
| ~ icext(esk14_0,X2)
| ~ iext(uri_rdf_rest,esk18_0,uri_rdf_nil)
| ~ iext(uri_rdf_first,esk18_0,X1) ),
inference(spm,[status(thm)],[105,234,theory(equality)]) ).
cnf(337,plain,
( X1 = X2
| ~ icext(esk15_0,X2)
| ~ iext(uri_rdf_rest,esk17_0,uri_rdf_nil)
| ~ iext(uri_rdf_first,esk17_0,X1) ),
inference(spm,[status(thm)],[105,225,theory(equality)]) ).
cnf(338,plain,
( X1 = X2
| ~ icext(esk19_0,X2)
| ~ iext(uri_rdf_rest,esk13_0,uri_rdf_nil)
| ~ iext(uri_rdf_first,esk13_0,X1) ),
inference(spm,[status(thm)],[105,217,theory(equality)]) ).
cnf(339,plain,
( X1 = X2
| ~ icext(esk12_0,X2)
| $false
| ~ iext(uri_rdf_first,esk16_0,X1) ),
inference(rw,[status(thm)],[335,218,theory(equality)]) ).
cnf(340,plain,
( X1 = X2
| ~ icext(esk12_0,X2)
| ~ iext(uri_rdf_first,esk16_0,X1) ),
inference(cn,[status(thm)],[339,theory(equality)]) ).
cnf(341,plain,
( X1 = X2
| ~ icext(esk14_0,X2)
| $false
| ~ iext(uri_rdf_first,esk18_0,X1) ),
inference(rw,[status(thm)],[336,226,theory(equality)]) ).
cnf(342,plain,
( X1 = X2
| ~ icext(esk14_0,X2)
| ~ iext(uri_rdf_first,esk18_0,X1) ),
inference(cn,[status(thm)],[341,theory(equality)]) ).
cnf(343,plain,
( X1 = X2
| ~ icext(esk15_0,X2)
| $false
| ~ iext(uri_rdf_first,esk17_0,X1) ),
inference(rw,[status(thm)],[337,229,theory(equality)]) ).
cnf(344,plain,
( X1 = X2
| ~ icext(esk15_0,X2)
| ~ iext(uri_rdf_first,esk17_0,X1) ),
inference(cn,[status(thm)],[343,theory(equality)]) ).
cnf(345,plain,
( X1 = X2
| ~ icext(esk19_0,X2)
| $false
| ~ iext(uri_rdf_first,esk13_0,X1) ),
inference(rw,[status(thm)],[338,220,theory(equality)]) ).
cnf(346,plain,
( X1 = X2
| ~ icext(esk19_0,X2)
| ~ iext(uri_rdf_first,esk13_0,X1) ),
inference(cn,[status(thm)],[345,theory(equality)]) ).
cnf(442,plain,
( iext(uri_owl_inverseOf,X1,X2)
| ~ ip(X2)
| ~ iext(X2,esk9_2(X1,X2),esk8_2(X1,X2))
| ~ iext(X1,esk8_2(X1,X2),esk9_2(X1,X2)) ),
inference(csr,[status(thm)],[151,175]) ).
cnf(443,plain,
( iext(uri_owl_inverseOf,X1,X2)
| ~ iext(X2,esk9_2(X1,X2),esk8_2(X1,X2))
| ~ iext(X1,esk8_2(X1,X2),esk9_2(X1,X2)) ),
inference(csr,[status(thm)],[442,175]) ).
cnf(509,plain,
( iext(X1,esk8_2(X1,uri_ex_p),esk9_2(X1,uri_ex_p))
| iext(uri_ex_p,esk9_2(X1,uri_ex_p),esk8_2(X1,uri_ex_p))
| iext(uri_owl_inverseOf,X1,uri_ex_p)
| ~ ip(X1) ),
inference(spm,[status(thm)],[150,269,theory(equality)]) ).
cnf(734,plain,
icext(esk12_0,uri_ex_o),
inference(spm,[status(thm)],[322,228,theory(equality)]) ).
cnf(742,plain,
iext(uri_rdf_type,uri_ex_o,esk12_0),
inference(spm,[status(thm)],[210,734,theory(equality)]) ).
cnf(766,plain,
( icext(esk14_0,esk1_2(uri_ex_q,X1))
| iext(uri_rdfs_domain,uri_ex_q,X1)
| ~ ip(uri_ex_q)
| ~ ic(X1) ),
inference(spm,[status(thm)],[326,63,theory(equality)]) ).
cnf(768,plain,
( icext(esk14_0,esk1_2(uri_ex_q,X1))
| iext(uri_rdfs_domain,uri_ex_q,X1)
| $false
| ~ ic(X1) ),
inference(rw,[status(thm)],[766,268,theory(equality)]) ).
cnf(769,plain,
( icext(esk14_0,esk1_2(uri_ex_q,X1))
| iext(uri_rdfs_domain,uri_ex_q,X1)
| ~ ic(X1) ),
inference(cn,[status(thm)],[768,theory(equality)]) ).
cnf(957,plain,
( uri_ex_o = X1
| ~ icext(esk12_0,X1) ),
inference(spm,[status(thm)],[340,219,theory(equality)]) ).
cnf(997,plain,
( uri_ex_o = X1
| ~ icext(esk14_0,X1) ),
inference(spm,[status(thm)],[342,227,theory(equality)]) ).
cnf(1028,plain,
( uri_ex_s = X1
| ~ icext(esk15_0,X1) ),
inference(spm,[status(thm)],[344,230,theory(equality)]) ).
cnf(1064,plain,
( uri_ex_s = X1
| ~ icext(esk19_0,X1) ),
inference(spm,[status(thm)],[346,221,theory(equality)]) ).
cnf(1631,plain,
( uri_ex_o = esk1_2(uri_ex_q,X1)
| iext(uri_rdfs_domain,uri_ex_q,X1)
| ~ ic(X1) ),
inference(spm,[status(thm)],[997,769,theory(equality)]) ).
cnf(1638,plain,
( iext(uri_rdfs_domain,uri_ex_q,X1)
| ~ ip(uri_ex_q)
| ~ ic(X1)
| ~ iext(uri_rdf_type,uri_ex_o,X1) ),
inference(spm,[status(thm)],[318,1631,theory(equality)]) ).
cnf(1645,plain,
( iext(uri_rdfs_domain,uri_ex_q,X1)
| $false
| ~ ic(X1)
| ~ iext(uri_rdf_type,uri_ex_o,X1) ),
inference(rw,[status(thm)],[1638,268,theory(equality)]) ).
cnf(1646,plain,
( iext(uri_rdfs_domain,uri_ex_q,X1)
| ~ ic(X1)
| ~ iext(uri_rdf_type,uri_ex_o,X1) ),
inference(cn,[status(thm)],[1645,theory(equality)]) ).
cnf(1653,plain,
( iext(uri_rdfs_domain,uri_ex_q,esk12_0)
| ~ iext(uri_rdf_type,uri_ex_o,esk12_0) ),
inference(spm,[status(thm)],[1646,260,theory(equality)]) ).
cnf(1665,plain,
( iext(uri_rdfs_domain,uri_ex_q,esk12_0)
| $false ),
inference(rw,[status(thm)],[1653,742,theory(equality)]) ).
cnf(1666,plain,
iext(uri_rdfs_domain,uri_ex_q,esk12_0),
inference(cn,[status(thm)],[1665,theory(equality)]) ).
cnf(1670,plain,
( icext(esk12_0,X1)
| ~ iext(uri_ex_q,X1,X2) ),
inference(spm,[status(thm)],[66,1666,theory(equality)]) ).
cnf(3315,plain,
( iext(uri_ex_p,esk9_2(uri_ex_q,uri_ex_p),esk8_2(uri_ex_q,uri_ex_p))
| iext(uri_ex_q,esk8_2(uri_ex_q,uri_ex_p),esk9_2(uri_ex_q,uri_ex_p))
| iext(uri_owl_inverseOf,uri_ex_q,uri_ex_p) ),
inference(spm,[status(thm)],[509,268,theory(equality)]) ).
cnf(3356,plain,
( iext(uri_ex_p,esk9_2(uri_ex_q,uri_ex_p),esk8_2(uri_ex_q,uri_ex_p))
| iext(uri_ex_q,esk8_2(uri_ex_q,uri_ex_p),esk9_2(uri_ex_q,uri_ex_p)) ),
inference(sr,[status(thm)],[3315,214,theory(equality)]) ).
cnf(3359,plain,
( icext(esk12_0,esk8_2(uri_ex_q,uri_ex_p))
| iext(uri_ex_q,esk8_2(uri_ex_q,uri_ex_p),esk9_2(uri_ex_q,uri_ex_p)) ),
inference(spm,[status(thm)],[322,3356,theory(equality)]) ).
cnf(3366,plain,
icext(esk12_0,esk8_2(uri_ex_q,uri_ex_p)),
inference(csr,[status(thm)],[3359,1670]) ).
cnf(3370,plain,
uri_ex_o = esk8_2(uri_ex_q,uri_ex_p),
inference(spm,[status(thm)],[957,3366,theory(equality)]) ).
cnf(3374,plain,
( iext(uri_ex_q,uri_ex_o,esk9_2(uri_ex_q,uri_ex_p))
| iext(uri_ex_p,esk9_2(uri_ex_q,uri_ex_p),esk8_2(uri_ex_q,uri_ex_p)) ),
inference(rw,[status(thm)],[3356,3370,theory(equality)]) ).
cnf(3375,plain,
( iext(uri_ex_q,uri_ex_o,esk9_2(uri_ex_q,uri_ex_p))
| iext(uri_ex_p,esk9_2(uri_ex_q,uri_ex_p),uri_ex_o) ),
inference(rw,[status(thm)],[3374,3370,theory(equality)]) ).
cnf(3379,plain,
( icext(esk19_0,esk9_2(uri_ex_q,uri_ex_p))
| iext(uri_ex_q,uri_ex_o,esk9_2(uri_ex_q,uri_ex_p)) ),
inference(spm,[status(thm)],[327,3375,theory(equality)]) ).
cnf(3396,plain,
( uri_ex_s = esk9_2(uri_ex_q,uri_ex_p)
| iext(uri_ex_q,uri_ex_o,esk9_2(uri_ex_q,uri_ex_p)) ),
inference(spm,[status(thm)],[1064,3379,theory(equality)]) ).
cnf(3442,plain,
( icext(esk15_0,esk9_2(uri_ex_q,uri_ex_p))
| esk9_2(uri_ex_q,uri_ex_p) = uri_ex_s ),
inference(spm,[status(thm)],[321,3396,theory(equality)]) ).
cnf(3451,plain,
esk9_2(uri_ex_q,uri_ex_p) = uri_ex_s,
inference(csr,[status(thm)],[3442,1028]) ).
cnf(3452,plain,
( iext(uri_owl_inverseOf,uri_ex_q,uri_ex_p)
| ~ iext(uri_ex_p,uri_ex_s,esk8_2(uri_ex_q,uri_ex_p))
| ~ iext(uri_ex_q,esk8_2(uri_ex_q,uri_ex_p),uri_ex_s) ),
inference(spm,[status(thm)],[443,3451,theory(equality)]) ).
cnf(3464,plain,
( iext(uri_owl_inverseOf,uri_ex_q,uri_ex_p)
| $false
| ~ iext(uri_ex_q,esk8_2(uri_ex_q,uri_ex_p),uri_ex_s) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3452,3370,theory(equality)]),228,theory(equality)]) ).
cnf(3465,plain,
( iext(uri_owl_inverseOf,uri_ex_q,uri_ex_p)
| $false
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3464,3370,theory(equality)]),222,theory(equality)]) ).
cnf(3466,plain,
iext(uri_owl_inverseOf,uri_ex_q,uri_ex_p),
inference(cn,[status(thm)],[3465,theory(equality)]) ).
cnf(3467,plain,
$false,
inference(sr,[status(thm)],[3466,214,theory(equality)]) ).
cnf(3468,plain,
$false,
3467,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWB/SWB066+1.p
% --creating new selector for [SWB001+0.ax]
% -running prover on /tmp/tmpiCA9mA/sel_SWB066+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWB066+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWB/SWB066+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWB/SWB066+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------