TSTP Solution File: SWB045+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWB045+1 : TPTP v5.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art02.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 00:39:54 EST 2011
% Result : Theorem 0.32s
% Output : CNFRefutation 0.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 7
% Syntax : Number of formulae : 64 ( 14 unt; 0 def)
% Number of atoms : 317 ( 43 equ)
% Maximal formula atoms : 26 ( 4 avg)
% Number of connectives : 397 ( 144 ~; 164 |; 80 &)
% ( 5 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 12 con; 0-3 aty)
% Number of variables : 128 ( 4 sgn 87 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(18,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/tmpr6bIy3/sel_SWB045+1.p_1',owl_enum_class_001) ).
fof(22,axiom,
! [X3] :
( icext(uri_owl_FunctionalProperty,X3)
<=> ( ip(X3)
& ! [X1,X15,X16] :
( ( iext(X3,X1,X15)
& iext(X3,X1,X16) )
=> X15 = X16 ) ) ),
file('/tmp/tmpr6bIy3/sel_SWB045+1.p_1',owl_char_functional) ).
fof(27,axiom,
! [X3,X4] :
( iext(uri_rdfs_range,X3,X4)
<=> ( ip(X3)
& ip(X4)
& ! [X1,X2] :
( iext(X3,X1,X2)
=> icext(X4,X2) ) ) ),
file('/tmp/tmpr6bIy3/sel_SWB045+1.p_1',owl_rdfsext_range) ).
fof(28,axiom,
! [X17,X3,X18] :
( iext(X3,X17,X18)
=> ip(X3) ),
file('/tmp/tmpr6bIy3/sel_SWB045+1.p_1',simple_iext_property) ).
fof(38,axiom,
! [X1,X4] :
( iext(uri_rdf_type,X1,X4)
<=> icext(X4,X1) ),
file('/tmp/tmpr6bIy3/sel_SWB045+1.p_1',rdfs_cext_def) ).
fof(41,axiom,
? [X19,X20] :
( iext(uri_rdfs_range,uri_ex_p,X19)
& iext(uri_ex_p,uri_ex_x,uri_ex_y)
& iext(uri_rdf_first,X20,uri_ex_y)
& iext(uri_rdf_rest,X20,uri_rdf_nil)
& iext(uri_owl_oneOf,X19,X20) ),
file('/tmp/tmpr6bIy3/sel_SWB045+1.p_1',premise_rdfbased_sem_char_functional_ext) ).
fof(42,conjecture,
iext(uri_rdf_type,uri_ex_p,uri_owl_FunctionalProperty),
file('/tmp/tmpr6bIy3/sel_SWB045+1.p_1',conclusion_rdfbased_sem_char_functional_ext) ).
fof(43,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_FunctionalProperty),
inference(assume_negation,[status(cth)],[42]) ).
fof(45,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_FunctionalProperty),
inference(fof_simplification,[status(thm)],[43,theory(equality)]) ).
fof(105,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)],[18]) ).
fof(106,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)],[105]) ).
fof(107,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)],[106]) ).
fof(108,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)],[107]) ).
fof(109,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)],[108]) ).
cnf(114,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)],[109]) ).
fof(144,plain,
! [X3] :
( ( ~ icext(uri_owl_FunctionalProperty,X3)
| ( ip(X3)
& ! [X1,X15,X16] :
( ~ iext(X3,X1,X15)
| ~ iext(X3,X1,X16)
| X15 = X16 ) ) )
& ( ~ ip(X3)
| ? [X1,X15,X16] :
( iext(X3,X1,X15)
& iext(X3,X1,X16)
& X15 != X16 )
| icext(uri_owl_FunctionalProperty,X3) ) ),
inference(fof_nnf,[status(thm)],[22]) ).
fof(145,plain,
! [X17] :
( ( ~ icext(uri_owl_FunctionalProperty,X17)
| ( ip(X17)
& ! [X18,X19,X20] :
( ~ iext(X17,X18,X19)
| ~ iext(X17,X18,X20)
| X19 = X20 ) ) )
& ( ~ ip(X17)
| ? [X21,X22,X23] :
( iext(X17,X21,X22)
& iext(X17,X21,X23)
& X22 != X23 )
| icext(uri_owl_FunctionalProperty,X17) ) ),
inference(variable_rename,[status(thm)],[144]) ).
fof(146,plain,
! [X17] :
( ( ~ icext(uri_owl_FunctionalProperty,X17)
| ( ip(X17)
& ! [X18,X19,X20] :
( ~ iext(X17,X18,X19)
| ~ iext(X17,X18,X20)
| X19 = X20 ) ) )
& ( ~ ip(X17)
| ( iext(X17,esk8_1(X17),esk9_1(X17))
& iext(X17,esk8_1(X17),esk10_1(X17))
& esk9_1(X17) != esk10_1(X17) )
| icext(uri_owl_FunctionalProperty,X17) ) ),
inference(skolemize,[status(esa)],[145]) ).
fof(147,plain,
! [X17,X18,X19,X20] :
( ( ( ( ~ iext(X17,X18,X19)
| ~ iext(X17,X18,X20)
| X19 = X20 )
& ip(X17) )
| ~ icext(uri_owl_FunctionalProperty,X17) )
& ( ~ ip(X17)
| ( iext(X17,esk8_1(X17),esk9_1(X17))
& iext(X17,esk8_1(X17),esk10_1(X17))
& esk9_1(X17) != esk10_1(X17) )
| icext(uri_owl_FunctionalProperty,X17) ) ),
inference(shift_quantors,[status(thm)],[146]) ).
fof(148,plain,
! [X17,X18,X19,X20] :
( ( ~ iext(X17,X18,X19)
| ~ iext(X17,X18,X20)
| X19 = X20
| ~ icext(uri_owl_FunctionalProperty,X17) )
& ( ip(X17)
| ~ icext(uri_owl_FunctionalProperty,X17) )
& ( iext(X17,esk8_1(X17),esk9_1(X17))
| ~ ip(X17)
| icext(uri_owl_FunctionalProperty,X17) )
& ( iext(X17,esk8_1(X17),esk10_1(X17))
| ~ ip(X17)
| icext(uri_owl_FunctionalProperty,X17) )
& ( esk9_1(X17) != esk10_1(X17)
| ~ ip(X17)
| icext(uri_owl_FunctionalProperty,X17) ) ),
inference(distribute,[status(thm)],[147]) ).
cnf(149,plain,
( icext(uri_owl_FunctionalProperty,X1)
| ~ ip(X1)
| esk9_1(X1) != esk10_1(X1) ),
inference(split_conjunct,[status(thm)],[148]) ).
cnf(150,plain,
( icext(uri_owl_FunctionalProperty,X1)
| iext(X1,esk8_1(X1),esk10_1(X1))
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[148]) ).
cnf(151,plain,
( icext(uri_owl_FunctionalProperty,X1)
| iext(X1,esk8_1(X1),esk9_1(X1))
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[148]) ).
fof(167,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)],[27]) ).
fof(168,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)],[167]) ).
fof(169,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,esk11_2(X5,X6),esk12_2(X5,X6))
& ~ icext(X6,esk12_2(X5,X6)) )
| iext(uri_rdfs_range,X5,X6) ) ),
inference(skolemize,[status(esa)],[168]) ).
fof(170,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,esk11_2(X5,X6),esk12_2(X5,X6))
& ~ icext(X6,esk12_2(X5,X6)) )
| iext(uri_rdfs_range,X5,X6) ) ),
inference(shift_quantors,[status(thm)],[169]) ).
fof(171,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,esk11_2(X5,X6),esk12_2(X5,X6))
| ~ ip(X5)
| ~ ip(X6)
| iext(uri_rdfs_range,X5,X6) )
& ( ~ icext(X6,esk12_2(X5,X6))
| ~ ip(X5)
| ~ ip(X6)
| iext(uri_rdfs_range,X5,X6) ) ),
inference(distribute,[status(thm)],[170]) ).
cnf(176,plain,
( icext(X2,X3)
| ~ iext(uri_rdfs_range,X1,X2)
| ~ iext(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[171]) ).
fof(177,plain,
! [X17,X3,X18] :
( ~ iext(X3,X17,X18)
| ip(X3) ),
inference(fof_nnf,[status(thm)],[28]) ).
fof(178,plain,
! [X19,X20,X21] :
( ~ iext(X20,X19,X21)
| ip(X20) ),
inference(variable_rename,[status(thm)],[177]) ).
cnf(179,plain,
( ip(X1)
| ~ iext(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[178]) ).
fof(205,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(206,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)],[205]) ).
cnf(207,plain,
( iext(uri_rdf_type,X1,X2)
| ~ icext(X2,X1) ),
inference(split_conjunct,[status(thm)],[206]) ).
fof(211,plain,
? [X21,X22] :
( iext(uri_rdfs_range,uri_ex_p,X21)
& iext(uri_ex_p,uri_ex_x,uri_ex_y)
& iext(uri_rdf_first,X22,uri_ex_y)
& iext(uri_rdf_rest,X22,uri_rdf_nil)
& iext(uri_owl_oneOf,X21,X22) ),
inference(variable_rename,[status(thm)],[41]) ).
fof(212,plain,
( iext(uri_rdfs_range,uri_ex_p,esk13_0)
& iext(uri_ex_p,uri_ex_x,uri_ex_y)
& iext(uri_rdf_first,esk14_0,uri_ex_y)
& iext(uri_rdf_rest,esk14_0,uri_rdf_nil)
& iext(uri_owl_oneOf,esk13_0,esk14_0) ),
inference(skolemize,[status(esa)],[211]) ).
cnf(213,plain,
iext(uri_owl_oneOf,esk13_0,esk14_0),
inference(split_conjunct,[status(thm)],[212]) ).
cnf(214,plain,
iext(uri_rdf_rest,esk14_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[212]) ).
cnf(215,plain,
iext(uri_rdf_first,esk14_0,uri_ex_y),
inference(split_conjunct,[status(thm)],[212]) ).
cnf(216,plain,
iext(uri_ex_p,uri_ex_x,uri_ex_y),
inference(split_conjunct,[status(thm)],[212]) ).
cnf(217,plain,
iext(uri_rdfs_range,uri_ex_p,esk13_0),
inference(split_conjunct,[status(thm)],[212]) ).
cnf(218,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_FunctionalProperty),
inference(split_conjunct,[status(thm)],[45]) ).
cnf(239,plain,
ip(uri_ex_p),
inference(spm,[status(thm)],[179,216,theory(equality)]) ).
cnf(273,plain,
( icext(esk13_0,X1)
| ~ iext(uri_ex_p,X2,X1) ),
inference(spm,[status(thm)],[176,217,theory(equality)]) ).
cnf(358,plain,
( X1 = X2
| ~ icext(esk13_0,X2)
| ~ iext(uri_rdf_rest,esk14_0,uri_rdf_nil)
| ~ iext(uri_rdf_first,esk14_0,X1) ),
inference(spm,[status(thm)],[114,213,theory(equality)]) ).
cnf(363,plain,
( X1 = X2
| ~ icext(esk13_0,X2)
| $false
| ~ iext(uri_rdf_first,esk14_0,X1) ),
inference(rw,[status(thm)],[358,214,theory(equality)]) ).
cnf(364,plain,
( X1 = X2
| ~ icext(esk13_0,X2)
| ~ iext(uri_rdf_first,esk14_0,X1) ),
inference(cn,[status(thm)],[363,theory(equality)]) ).
cnf(633,plain,
( icext(esk13_0,esk9_1(uri_ex_p))
| icext(uri_owl_FunctionalProperty,uri_ex_p)
| ~ ip(uri_ex_p) ),
inference(spm,[status(thm)],[273,151,theory(equality)]) ).
cnf(634,plain,
( icext(esk13_0,esk10_1(uri_ex_p))
| icext(uri_owl_FunctionalProperty,uri_ex_p)
| ~ ip(uri_ex_p) ),
inference(spm,[status(thm)],[273,150,theory(equality)]) ).
cnf(637,plain,
( icext(esk13_0,esk9_1(uri_ex_p))
| icext(uri_owl_FunctionalProperty,uri_ex_p)
| $false ),
inference(rw,[status(thm)],[633,239,theory(equality)]) ).
cnf(638,plain,
( icext(esk13_0,esk9_1(uri_ex_p))
| icext(uri_owl_FunctionalProperty,uri_ex_p) ),
inference(cn,[status(thm)],[637,theory(equality)]) ).
cnf(639,plain,
( icext(esk13_0,esk10_1(uri_ex_p))
| icext(uri_owl_FunctionalProperty,uri_ex_p)
| $false ),
inference(rw,[status(thm)],[634,239,theory(equality)]) ).
cnf(640,plain,
( icext(esk13_0,esk10_1(uri_ex_p))
| icext(uri_owl_FunctionalProperty,uri_ex_p) ),
inference(cn,[status(thm)],[639,theory(equality)]) ).
cnf(995,plain,
( uri_ex_y = X1
| ~ icext(esk13_0,X1) ),
inference(spm,[status(thm)],[364,215,theory(equality)]) ).
cnf(1001,plain,
( uri_ex_y = esk9_1(uri_ex_p)
| icext(uri_owl_FunctionalProperty,uri_ex_p) ),
inference(spm,[status(thm)],[995,638,theory(equality)]) ).
cnf(1002,plain,
( uri_ex_y = esk10_1(uri_ex_p)
| icext(uri_owl_FunctionalProperty,uri_ex_p) ),
inference(spm,[status(thm)],[995,640,theory(equality)]) ).
cnf(1036,plain,
( icext(uri_owl_FunctionalProperty,uri_ex_p)
| uri_ex_y != esk9_1(uri_ex_p)
| ~ ip(uri_ex_p) ),
inference(spm,[status(thm)],[149,1002,theory(equality)]) ).
cnf(1041,plain,
( icext(uri_owl_FunctionalProperty,uri_ex_p)
| uri_ex_y != esk9_1(uri_ex_p)
| $false ),
inference(rw,[status(thm)],[1036,239,theory(equality)]) ).
cnf(1042,plain,
( icext(uri_owl_FunctionalProperty,uri_ex_p)
| uri_ex_y != esk9_1(uri_ex_p) ),
inference(cn,[status(thm)],[1041,theory(equality)]) ).
cnf(1053,plain,
icext(uri_owl_FunctionalProperty,uri_ex_p),
inference(csr,[status(thm)],[1042,1001]) ).
cnf(1054,plain,
iext(uri_rdf_type,uri_ex_p,uri_owl_FunctionalProperty),
inference(spm,[status(thm)],[207,1053,theory(equality)]) ).
cnf(1068,plain,
$false,
inference(sr,[status(thm)],[1054,218,theory(equality)]) ).
cnf(1069,plain,
$false,
1068,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWB/SWB045+1.p
% --creating new selector for [SWB001+0.ax]
% -running prover on /tmp/tmpr6bIy3/sel_SWB045+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWB045+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWB/SWB045+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWB/SWB045+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
%
%------------------------------------------------------------------------------