TSTP Solution File: SWB051+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWB051+1 : TPTP v5.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art01.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 00:40:56 EST 2011
% Result : Theorem 0.71s
% Output : CNFRefutation 0.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 8
% Syntax : Number of formulae : 102 ( 25 unt; 0 def)
% Number of atoms : 562 ( 85 equ)
% Maximal formula atoms : 53 ( 5 avg)
% Number of connectives : 706 ( 246 ~; 302 |; 147 &)
% ( 6 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 25 ( 25 usr; 17 con; 0-5 aty)
% Number of variables : 210 ( 6 sgn 123 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
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/tmp8WSj-b/sel_SWB051+1.p_1',owl_rdfsext_domain) ).
fof(18,axiom,
! [X5,X6,X12,X8,X13] :
( ( iext(uri_rdf_first,X6,X12)
& iext(uri_rdf_rest,X6,X8)
& iext(uri_rdf_first,X8,X13)
& iext(uri_rdf_rest,X8,uri_rdf_nil) )
=> ( iext(uri_owl_oneOf,X5,X6)
<=> ( ic(X5)
& ! [X1] :
( icext(X5,X1)
<=> ( X1 = X12
| X1 = X13 ) ) ) ) ),
file('/tmp/tmp8WSj-b/sel_SWB051+1.p_1',owl_enum_class_002) ).
fof(21,axiom,
! [X3] :
( icext(uri_owl_TransitiveProperty,X3)
<=> ( ip(X3)
& ! [X1,X2,X5] :
( ( iext(X3,X1,X2)
& iext(X3,X2,X5) )
=> iext(X3,X1,X5) ) ) ),
file('/tmp/tmp8WSj-b/sel_SWB051+1.p_1',owl_char_transitive) ).
fof(28,axiom,
! [X3,X4] :
( iext(uri_rdfs_range,X3,X4)
<=> ( ip(X3)
& ip(X4)
& ! [X1,X2] :
( iext(X3,X1,X2)
=> icext(X4,X2) ) ) ),
file('/tmp/tmp8WSj-b/sel_SWB051+1.p_1',owl_rdfsext_range) ).
fof(29,axiom,
! [X15,X3,X16] :
( iext(X3,X15,X16)
=> ip(X3) ),
file('/tmp/tmp8WSj-b/sel_SWB051+1.p_1',simple_iext_property) ).
fof(38,axiom,
! [X1,X4] :
( iext(uri_rdf_type,X1,X4)
<=> icext(X4,X1) ),
file('/tmp/tmp8WSj-b/sel_SWB051+1.p_1',rdfs_cext_def) ).
fof(41,conjecture,
iext(uri_rdf_type,uri_ex_p,uri_owl_TransitiveProperty),
file('/tmp/tmp8WSj-b/sel_SWB051+1.p_1',conclusion_rdfbased_sem_char_transitive_ext) ).
fof(42,axiom,
? [X17,X18,X19,X20,X21,X22] :
( iext(uri_owl_oneOf,X18,X20)
& iext(uri_rdfs_domain,uri_ex_p,X18)
& iext(uri_rdfs_range,uri_ex_p,X21)
& iext(uri_rdf_first,X19,uri_ex_y)
& iext(uri_rdf_rest,X19,uri_rdf_nil)
& iext(uri_ex_p,uri_ex_x,uri_ex_y)
& iext(uri_ex_p,uri_ex_x,uri_ex_x)
& iext(uri_rdf_first,X22,uri_ex_y)
& iext(uri_rdf_rest,X22,uri_rdf_nil)
& iext(uri_rdf_first,X17,uri_ex_x)
& iext(uri_rdf_rest,X17,X22)
& iext(uri_rdf_first,X20,uri_ex_x)
& iext(uri_rdf_rest,X20,X19)
& iext(uri_ex_p,uri_ex_y,uri_ex_x)
& iext(uri_ex_p,uri_ex_y,uri_ex_y)
& iext(uri_owl_oneOf,X21,X17) ),
file('/tmp/tmp8WSj-b/sel_SWB051+1.p_1',premise_rdfbased_sem_char_transitive_ext) ).
fof(43,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_TransitiveProperty),
inference(assume_negation,[status(cth)],[41]) ).
fof(45,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_TransitiveProperty),
inference(fof_simplification,[status(thm)],[43,theory(equality)]) ).
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(66,plain,
( icext(X2,X3)
| ~ iext(uri_rdfs_domain,X1,X2)
| ~ iext(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[61]) ).
fof(102,plain,
! [X5,X6,X12,X8,X13] :
( ~ iext(uri_rdf_first,X6,X12)
| ~ iext(uri_rdf_rest,X6,X8)
| ~ iext(uri_rdf_first,X8,X13)
| ~ iext(uri_rdf_rest,X8,uri_rdf_nil)
| ( ( ~ iext(uri_owl_oneOf,X5,X6)
| ( ic(X5)
& ! [X1] :
( ( ~ icext(X5,X1)
| X1 = X12
| X1 = X13 )
& ( ( X1 != X12
& X1 != X13 )
| icext(X5,X1) ) ) ) )
& ( ~ ic(X5)
| ? [X1] :
( ( ~ icext(X5,X1)
| ( X1 != X12
& X1 != X13 ) )
& ( icext(X5,X1)
| X1 = X12
| X1 = X13 ) )
| iext(uri_owl_oneOf,X5,X6) ) ) ),
inference(fof_nnf,[status(thm)],[18]) ).
fof(103,plain,
! [X14,X15,X16,X17,X18] :
( ~ iext(uri_rdf_first,X15,X16)
| ~ iext(uri_rdf_rest,X15,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,uri_rdf_nil)
| ( ( ~ iext(uri_owl_oneOf,X14,X15)
| ( ic(X14)
& ! [X19] :
( ( ~ icext(X14,X19)
| X19 = X16
| X19 = X18 )
& ( ( X19 != X16
& X19 != X18 )
| icext(X14,X19) ) ) ) )
& ( ~ ic(X14)
| ? [X20] :
( ( ~ icext(X14,X20)
| ( X20 != X16
& X20 != X18 ) )
& ( icext(X14,X20)
| X20 = X16
| X20 = X18 ) )
| iext(uri_owl_oneOf,X14,X15) ) ) ),
inference(variable_rename,[status(thm)],[102]) ).
fof(104,plain,
! [X14,X15,X16,X17,X18] :
( ~ iext(uri_rdf_first,X15,X16)
| ~ iext(uri_rdf_rest,X15,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,uri_rdf_nil)
| ( ( ~ iext(uri_owl_oneOf,X14,X15)
| ( ic(X14)
& ! [X19] :
( ( ~ icext(X14,X19)
| X19 = X16
| X19 = X18 )
& ( ( X19 != X16
& X19 != X18 )
| icext(X14,X19) ) ) ) )
& ( ~ ic(X14)
| ( ( ~ icext(X14,esk5_5(X14,X15,X16,X17,X18))
| ( esk5_5(X14,X15,X16,X17,X18) != X16
& esk5_5(X14,X15,X16,X17,X18) != X18 ) )
& ( icext(X14,esk5_5(X14,X15,X16,X17,X18))
| esk5_5(X14,X15,X16,X17,X18) = X16
| esk5_5(X14,X15,X16,X17,X18) = X18 ) )
| iext(uri_owl_oneOf,X14,X15) ) ) ),
inference(skolemize,[status(esa)],[103]) ).
fof(105,plain,
! [X14,X15,X16,X17,X18,X19] :
( ( ( ( ( ~ icext(X14,X19)
| X19 = X16
| X19 = X18 )
& ( ( X19 != X16
& X19 != X18 )
| icext(X14,X19) )
& ic(X14) )
| ~ iext(uri_owl_oneOf,X14,X15) )
& ( ~ ic(X14)
| ( ( ~ icext(X14,esk5_5(X14,X15,X16,X17,X18))
| ( esk5_5(X14,X15,X16,X17,X18) != X16
& esk5_5(X14,X15,X16,X17,X18) != X18 ) )
& ( icext(X14,esk5_5(X14,X15,X16,X17,X18))
| esk5_5(X14,X15,X16,X17,X18) = X16
| esk5_5(X14,X15,X16,X17,X18) = X18 ) )
| iext(uri_owl_oneOf,X14,X15) ) )
| ~ iext(uri_rdf_first,X15,X16)
| ~ iext(uri_rdf_rest,X15,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,uri_rdf_nil) ),
inference(shift_quantors,[status(thm)],[104]) ).
fof(106,plain,
! [X14,X15,X16,X17,X18,X19] :
( ( ~ icext(X14,X19)
| X19 = X16
| X19 = X18
| ~ iext(uri_owl_oneOf,X14,X15)
| ~ iext(uri_rdf_first,X15,X16)
| ~ iext(uri_rdf_rest,X15,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,uri_rdf_nil) )
& ( X19 != X16
| icext(X14,X19)
| ~ iext(uri_owl_oneOf,X14,X15)
| ~ iext(uri_rdf_first,X15,X16)
| ~ iext(uri_rdf_rest,X15,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,uri_rdf_nil) )
& ( X19 != X18
| icext(X14,X19)
| ~ iext(uri_owl_oneOf,X14,X15)
| ~ iext(uri_rdf_first,X15,X16)
| ~ iext(uri_rdf_rest,X15,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,uri_rdf_nil) )
& ( ic(X14)
| ~ iext(uri_owl_oneOf,X14,X15)
| ~ iext(uri_rdf_first,X15,X16)
| ~ iext(uri_rdf_rest,X15,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,uri_rdf_nil) )
& ( esk5_5(X14,X15,X16,X17,X18) != X16
| ~ icext(X14,esk5_5(X14,X15,X16,X17,X18))
| ~ ic(X14)
| iext(uri_owl_oneOf,X14,X15)
| ~ iext(uri_rdf_first,X15,X16)
| ~ iext(uri_rdf_rest,X15,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,uri_rdf_nil) )
& ( esk5_5(X14,X15,X16,X17,X18) != X18
| ~ icext(X14,esk5_5(X14,X15,X16,X17,X18))
| ~ ic(X14)
| iext(uri_owl_oneOf,X14,X15)
| ~ iext(uri_rdf_first,X15,X16)
| ~ iext(uri_rdf_rest,X15,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,uri_rdf_nil) )
& ( icext(X14,esk5_5(X14,X15,X16,X17,X18))
| esk5_5(X14,X15,X16,X17,X18) = X16
| esk5_5(X14,X15,X16,X17,X18) = X18
| ~ ic(X14)
| iext(uri_owl_oneOf,X14,X15)
| ~ iext(uri_rdf_first,X15,X16)
| ~ iext(uri_rdf_rest,X15,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,uri_rdf_nil) ) ),
inference(distribute,[status(thm)],[105]) ).
cnf(113,plain,
( X6 = X2
| X6 = X4
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_owl_oneOf,X5,X3)
| ~ icext(X5,X6) ),
inference(split_conjunct,[status(thm)],[106]) ).
fof(131,plain,
! [X3] :
( ( ~ icext(uri_owl_TransitiveProperty,X3)
| ( ip(X3)
& ! [X1,X2,X5] :
( ~ iext(X3,X1,X2)
| ~ iext(X3,X2,X5)
| iext(X3,X1,X5) ) ) )
& ( ~ ip(X3)
| ? [X1,X2,X5] :
( iext(X3,X1,X2)
& iext(X3,X2,X5)
& ~ iext(X3,X1,X5) )
| icext(uri_owl_TransitiveProperty,X3) ) ),
inference(fof_nnf,[status(thm)],[21]) ).
fof(132,plain,
! [X6] :
( ( ~ icext(uri_owl_TransitiveProperty,X6)
| ( ip(X6)
& ! [X7,X8,X9] :
( ~ iext(X6,X7,X8)
| ~ iext(X6,X8,X9)
| iext(X6,X7,X9) ) ) )
& ( ~ ip(X6)
| ? [X10,X11,X12] :
( iext(X6,X10,X11)
& iext(X6,X11,X12)
& ~ iext(X6,X10,X12) )
| icext(uri_owl_TransitiveProperty,X6) ) ),
inference(variable_rename,[status(thm)],[131]) ).
fof(133,plain,
! [X6] :
( ( ~ icext(uri_owl_TransitiveProperty,X6)
| ( ip(X6)
& ! [X7,X8,X9] :
( ~ iext(X6,X7,X8)
| ~ iext(X6,X8,X9)
| iext(X6,X7,X9) ) ) )
& ( ~ ip(X6)
| ( iext(X6,esk7_1(X6),esk8_1(X6))
& iext(X6,esk8_1(X6),esk9_1(X6))
& ~ iext(X6,esk7_1(X6),esk9_1(X6)) )
| icext(uri_owl_TransitiveProperty,X6) ) ),
inference(skolemize,[status(esa)],[132]) ).
fof(134,plain,
! [X6,X7,X8,X9] :
( ( ( ( ~ iext(X6,X7,X8)
| ~ iext(X6,X8,X9)
| iext(X6,X7,X9) )
& ip(X6) )
| ~ icext(uri_owl_TransitiveProperty,X6) )
& ( ~ ip(X6)
| ( iext(X6,esk7_1(X6),esk8_1(X6))
& iext(X6,esk8_1(X6),esk9_1(X6))
& ~ iext(X6,esk7_1(X6),esk9_1(X6)) )
| icext(uri_owl_TransitiveProperty,X6) ) ),
inference(shift_quantors,[status(thm)],[133]) ).
fof(135,plain,
! [X6,X7,X8,X9] :
( ( ~ iext(X6,X7,X8)
| ~ iext(X6,X8,X9)
| iext(X6,X7,X9)
| ~ icext(uri_owl_TransitiveProperty,X6) )
& ( ip(X6)
| ~ icext(uri_owl_TransitiveProperty,X6) )
& ( iext(X6,esk7_1(X6),esk8_1(X6))
| ~ ip(X6)
| icext(uri_owl_TransitiveProperty,X6) )
& ( iext(X6,esk8_1(X6),esk9_1(X6))
| ~ ip(X6)
| icext(uri_owl_TransitiveProperty,X6) )
& ( ~ iext(X6,esk7_1(X6),esk9_1(X6))
| ~ ip(X6)
| icext(uri_owl_TransitiveProperty,X6) ) ),
inference(distribute,[status(thm)],[134]) ).
cnf(136,plain,
( icext(uri_owl_TransitiveProperty,X1)
| ~ ip(X1)
| ~ iext(X1,esk7_1(X1),esk9_1(X1)) ),
inference(split_conjunct,[status(thm)],[135]) ).
cnf(137,plain,
( icext(uri_owl_TransitiveProperty,X1)
| iext(X1,esk8_1(X1),esk9_1(X1))
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[135]) ).
cnf(138,plain,
( icext(uri_owl_TransitiveProperty,X1)
| iext(X1,esk7_1(X1),esk8_1(X1))
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[135]) ).
fof(168,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)],[28]) ).
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)
| ? [X9,X10] :
( iext(X5,X9,X10)
& ~ icext(X6,X10) )
| iext(uri_rdfs_range,X5,X6) ) ),
inference(variable_rename,[status(thm)],[168]) ).
fof(170,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)],[169]) ).
fof(171,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)],[170]) ).
fof(172,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)],[171]) ).
cnf(177,plain,
( icext(X2,X3)
| ~ iext(uri_rdfs_range,X1,X2)
| ~ iext(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[172]) ).
fof(178,plain,
! [X15,X3,X16] :
( ~ iext(X3,X15,X16)
| ip(X3) ),
inference(fof_nnf,[status(thm)],[29]) ).
fof(179,plain,
! [X17,X18,X19] :
( ~ iext(X18,X17,X19)
| ip(X18) ),
inference(variable_rename,[status(thm)],[178]) ).
cnf(180,plain,
( ip(X1)
| ~ iext(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[179]) ).
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]) ).
cnf(211,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_TransitiveProperty),
inference(split_conjunct,[status(thm)],[45]) ).
fof(212,plain,
? [X23,X24,X25,X26,X27,X28] :
( iext(uri_owl_oneOf,X24,X26)
& iext(uri_rdfs_domain,uri_ex_p,X24)
& iext(uri_rdfs_range,uri_ex_p,X27)
& iext(uri_rdf_first,X25,uri_ex_y)
& iext(uri_rdf_rest,X25,uri_rdf_nil)
& iext(uri_ex_p,uri_ex_x,uri_ex_y)
& iext(uri_ex_p,uri_ex_x,uri_ex_x)
& iext(uri_rdf_first,X28,uri_ex_y)
& iext(uri_rdf_rest,X28,uri_rdf_nil)
& iext(uri_rdf_first,X23,uri_ex_x)
& iext(uri_rdf_rest,X23,X28)
& iext(uri_rdf_first,X26,uri_ex_x)
& iext(uri_rdf_rest,X26,X25)
& iext(uri_ex_p,uri_ex_y,uri_ex_x)
& iext(uri_ex_p,uri_ex_y,uri_ex_y)
& iext(uri_owl_oneOf,X27,X23) ),
inference(variable_rename,[status(thm)],[42]) ).
fof(213,plain,
( iext(uri_owl_oneOf,esk14_0,esk16_0)
& iext(uri_rdfs_domain,uri_ex_p,esk14_0)
& iext(uri_rdfs_range,uri_ex_p,esk17_0)
& iext(uri_rdf_first,esk15_0,uri_ex_y)
& iext(uri_rdf_rest,esk15_0,uri_rdf_nil)
& iext(uri_ex_p,uri_ex_x,uri_ex_y)
& iext(uri_ex_p,uri_ex_x,uri_ex_x)
& iext(uri_rdf_first,esk18_0,uri_ex_y)
& iext(uri_rdf_rest,esk18_0,uri_rdf_nil)
& iext(uri_rdf_first,esk13_0,uri_ex_x)
& iext(uri_rdf_rest,esk13_0,esk18_0)
& iext(uri_rdf_first,esk16_0,uri_ex_x)
& iext(uri_rdf_rest,esk16_0,esk15_0)
& iext(uri_ex_p,uri_ex_y,uri_ex_x)
& iext(uri_ex_p,uri_ex_y,uri_ex_y)
& iext(uri_owl_oneOf,esk17_0,esk13_0) ),
inference(skolemize,[status(esa)],[212]) ).
cnf(214,plain,
iext(uri_owl_oneOf,esk17_0,esk13_0),
inference(split_conjunct,[status(thm)],[213]) ).
cnf(215,plain,
iext(uri_ex_p,uri_ex_y,uri_ex_y),
inference(split_conjunct,[status(thm)],[213]) ).
cnf(216,plain,
iext(uri_ex_p,uri_ex_y,uri_ex_x),
inference(split_conjunct,[status(thm)],[213]) ).
cnf(217,plain,
iext(uri_rdf_rest,esk16_0,esk15_0),
inference(split_conjunct,[status(thm)],[213]) ).
cnf(218,plain,
iext(uri_rdf_first,esk16_0,uri_ex_x),
inference(split_conjunct,[status(thm)],[213]) ).
cnf(219,plain,
iext(uri_rdf_rest,esk13_0,esk18_0),
inference(split_conjunct,[status(thm)],[213]) ).
cnf(220,plain,
iext(uri_rdf_first,esk13_0,uri_ex_x),
inference(split_conjunct,[status(thm)],[213]) ).
cnf(221,plain,
iext(uri_rdf_rest,esk18_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[213]) ).
cnf(222,plain,
iext(uri_rdf_first,esk18_0,uri_ex_y),
inference(split_conjunct,[status(thm)],[213]) ).
cnf(223,plain,
iext(uri_ex_p,uri_ex_x,uri_ex_x),
inference(split_conjunct,[status(thm)],[213]) ).
cnf(224,plain,
iext(uri_ex_p,uri_ex_x,uri_ex_y),
inference(split_conjunct,[status(thm)],[213]) ).
cnf(225,plain,
iext(uri_rdf_rest,esk15_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[213]) ).
cnf(226,plain,
iext(uri_rdf_first,esk15_0,uri_ex_y),
inference(split_conjunct,[status(thm)],[213]) ).
cnf(227,plain,
iext(uri_rdfs_range,uri_ex_p,esk17_0),
inference(split_conjunct,[status(thm)],[213]) ).
cnf(228,plain,
iext(uri_rdfs_domain,uri_ex_p,esk14_0),
inference(split_conjunct,[status(thm)],[213]) ).
cnf(229,plain,
iext(uri_owl_oneOf,esk14_0,esk16_0),
inference(split_conjunct,[status(thm)],[213]) ).
cnf(257,plain,
ip(uri_ex_p),
inference(spm,[status(thm)],[180,215,theory(equality)]) ).
cnf(300,plain,
( icext(esk17_0,X1)
| ~ iext(uri_ex_p,X2,X1) ),
inference(spm,[status(thm)],[177,227,theory(equality)]) ).
cnf(305,plain,
( icext(esk14_0,X1)
| ~ iext(uri_ex_p,X1,X2) ),
inference(spm,[status(thm)],[66,228,theory(equality)]) ).
cnf(347,plain,
( icext(uri_owl_TransitiveProperty,X1)
| ~ iext(X1,esk7_1(X1),esk9_1(X1)) ),
inference(csr,[status(thm)],[136,180]) ).
cnf(421,plain,
( X1 = X2
| X3 = X2
| ~ icext(X4,X2)
| ~ iext(uri_owl_oneOf,X4,X5)
| ~ iext(uri_rdf_first,X5,X3)
| ~ iext(uri_rdf_first,esk15_0,X1)
| ~ iext(uri_rdf_rest,X5,esk15_0) ),
inference(spm,[status(thm)],[113,225,theory(equality)]) ).
cnf(422,plain,
( X1 = X2
| X3 = X2
| ~ icext(X4,X2)
| ~ iext(uri_owl_oneOf,X4,X5)
| ~ iext(uri_rdf_first,X5,X3)
| ~ iext(uri_rdf_first,esk18_0,X1)
| ~ iext(uri_rdf_rest,X5,esk18_0) ),
inference(spm,[status(thm)],[113,221,theory(equality)]) ).
cnf(663,plain,
( icext(esk17_0,esk9_1(uri_ex_p))
| icext(uri_owl_TransitiveProperty,uri_ex_p)
| ~ ip(uri_ex_p) ),
inference(spm,[status(thm)],[300,137,theory(equality)]) ).
cnf(668,plain,
( icext(esk17_0,esk9_1(uri_ex_p))
| icext(uri_owl_TransitiveProperty,uri_ex_p)
| $false ),
inference(rw,[status(thm)],[663,257,theory(equality)]) ).
cnf(669,plain,
( icext(esk17_0,esk9_1(uri_ex_p))
| icext(uri_owl_TransitiveProperty,uri_ex_p) ),
inference(cn,[status(thm)],[668,theory(equality)]) ).
cnf(725,plain,
( icext(esk14_0,esk7_1(uri_ex_p))
| icext(uri_owl_TransitiveProperty,uri_ex_p)
| ~ ip(uri_ex_p) ),
inference(spm,[status(thm)],[305,138,theory(equality)]) ).
cnf(729,plain,
( icext(esk14_0,esk7_1(uri_ex_p))
| icext(uri_owl_TransitiveProperty,uri_ex_p)
| $false ),
inference(rw,[status(thm)],[725,257,theory(equality)]) ).
cnf(730,plain,
( icext(esk14_0,esk7_1(uri_ex_p))
| icext(uri_owl_TransitiveProperty,uri_ex_p) ),
inference(cn,[status(thm)],[729,theory(equality)]) ).
cnf(1858,plain,
( X1 = X2
| uri_ex_y = X2
| ~ icext(X3,X2)
| ~ iext(uri_rdf_rest,X4,esk15_0)
| ~ iext(uri_owl_oneOf,X3,X4)
| ~ iext(uri_rdf_first,X4,X1) ),
inference(spm,[status(thm)],[421,226,theory(equality)]) ).
cnf(1875,plain,
( X1 = X2
| uri_ex_y = X2
| ~ icext(X3,X2)
| ~ iext(uri_rdf_rest,X4,esk18_0)
| ~ iext(uri_owl_oneOf,X3,X4)
| ~ iext(uri_rdf_first,X4,X1) ),
inference(spm,[status(thm)],[422,222,theory(equality)]) ).
cnf(2336,plain,
( uri_ex_y = X1
| X2 = X1
| ~ icext(esk14_0,X1)
| ~ iext(uri_rdf_rest,esk16_0,esk15_0)
| ~ iext(uri_rdf_first,esk16_0,X2) ),
inference(spm,[status(thm)],[1858,229,theory(equality)]) ).
cnf(2342,plain,
( uri_ex_y = X1
| X2 = X1
| ~ icext(esk14_0,X1)
| $false
| ~ iext(uri_rdf_first,esk16_0,X2) ),
inference(rw,[status(thm)],[2336,217,theory(equality)]) ).
cnf(2343,plain,
( uri_ex_y = X1
| X2 = X1
| ~ icext(esk14_0,X1)
| ~ iext(uri_rdf_first,esk16_0,X2) ),
inference(cn,[status(thm)],[2342,theory(equality)]) ).
cnf(2352,plain,
( uri_ex_y = X1
| uri_ex_x = X1
| ~ icext(esk14_0,X1) ),
inference(spm,[status(thm)],[2343,218,theory(equality)]) ).
cnf(2358,plain,
( uri_ex_x = esk7_1(uri_ex_p)
| uri_ex_y = esk7_1(uri_ex_p)
| icext(uri_owl_TransitiveProperty,uri_ex_p) ),
inference(spm,[status(thm)],[2352,730,theory(equality)]) ).
cnf(2415,plain,
( icext(uri_owl_TransitiveProperty,uri_ex_p)
| esk7_1(uri_ex_p) = uri_ex_x
| ~ iext(uri_ex_p,uri_ex_y,esk9_1(uri_ex_p)) ),
inference(spm,[status(thm)],[347,2358,theory(equality)]) ).
cnf(3782,plain,
( uri_ex_y = X1
| X2 = X1
| ~ icext(esk17_0,X1)
| ~ iext(uri_rdf_rest,esk13_0,esk18_0)
| ~ iext(uri_rdf_first,esk13_0,X2) ),
inference(spm,[status(thm)],[1875,214,theory(equality)]) ).
cnf(3787,plain,
( uri_ex_y = X1
| X2 = X1
| ~ icext(esk17_0,X1)
| $false
| ~ iext(uri_rdf_first,esk13_0,X2) ),
inference(rw,[status(thm)],[3782,219,theory(equality)]) ).
cnf(3788,plain,
( uri_ex_y = X1
| X2 = X1
| ~ icext(esk17_0,X1)
| ~ iext(uri_rdf_first,esk13_0,X2) ),
inference(cn,[status(thm)],[3787,theory(equality)]) ).
cnf(3797,plain,
( uri_ex_y = X1
| uri_ex_x = X1
| ~ icext(esk17_0,X1) ),
inference(spm,[status(thm)],[3788,220,theory(equality)]) ).
cnf(3804,plain,
( uri_ex_x = esk9_1(uri_ex_p)
| uri_ex_y = esk9_1(uri_ex_p)
| icext(uri_owl_TransitiveProperty,uri_ex_p) ),
inference(spm,[status(thm)],[3797,669,theory(equality)]) ).
cnf(3865,plain,
( esk7_1(uri_ex_p) = uri_ex_x
| icext(uri_owl_TransitiveProperty,uri_ex_p)
| esk9_1(uri_ex_p) = uri_ex_x
| ~ iext(uri_ex_p,uri_ex_y,uri_ex_y) ),
inference(spm,[status(thm)],[2415,3804,theory(equality)]) ).
cnf(3872,plain,
( esk7_1(uri_ex_p) = uri_ex_x
| icext(uri_owl_TransitiveProperty,uri_ex_p)
| esk9_1(uri_ex_p) = uri_ex_x
| $false ),
inference(rw,[status(thm)],[3865,215,theory(equality)]) ).
cnf(3873,plain,
( esk7_1(uri_ex_p) = uri_ex_x
| icext(uri_owl_TransitiveProperty,uri_ex_p)
| esk9_1(uri_ex_p) = uri_ex_x ),
inference(cn,[status(thm)],[3872,theory(equality)]) ).
cnf(3882,plain,
( esk7_1(uri_ex_p) = uri_ex_x
| icext(uri_owl_TransitiveProperty,uri_ex_p)
| ~ iext(uri_ex_p,uri_ex_y,uri_ex_x) ),
inference(spm,[status(thm)],[2415,3873,theory(equality)]) ).
cnf(3889,plain,
( esk7_1(uri_ex_p) = uri_ex_x
| icext(uri_owl_TransitiveProperty,uri_ex_p)
| $false ),
inference(rw,[status(thm)],[3882,216,theory(equality)]) ).
cnf(3890,plain,
( esk7_1(uri_ex_p) = uri_ex_x
| icext(uri_owl_TransitiveProperty,uri_ex_p) ),
inference(cn,[status(thm)],[3889,theory(equality)]) ).
cnf(3894,plain,
( icext(uri_owl_TransitiveProperty,uri_ex_p)
| ~ iext(uri_ex_p,uri_ex_x,esk9_1(uri_ex_p)) ),
inference(spm,[status(thm)],[347,3890,theory(equality)]) ).
cnf(3919,plain,
( icext(uri_owl_TransitiveProperty,uri_ex_p)
| esk9_1(uri_ex_p) = uri_ex_x
| ~ iext(uri_ex_p,uri_ex_x,uri_ex_y) ),
inference(spm,[status(thm)],[3894,3804,theory(equality)]) ).
cnf(3920,plain,
( icext(uri_owl_TransitiveProperty,uri_ex_p)
| esk9_1(uri_ex_p) = uri_ex_x
| $false ),
inference(rw,[status(thm)],[3919,224,theory(equality)]) ).
cnf(3921,plain,
( icext(uri_owl_TransitiveProperty,uri_ex_p)
| esk9_1(uri_ex_p) = uri_ex_x ),
inference(cn,[status(thm)],[3920,theory(equality)]) ).
cnf(3928,plain,
( icext(uri_owl_TransitiveProperty,uri_ex_p)
| ~ iext(uri_ex_p,uri_ex_x,uri_ex_x) ),
inference(spm,[status(thm)],[3894,3921,theory(equality)]) ).
cnf(3934,plain,
( icext(uri_owl_TransitiveProperty,uri_ex_p)
| $false ),
inference(rw,[status(thm)],[3928,223,theory(equality)]) ).
cnf(3935,plain,
icext(uri_owl_TransitiveProperty,uri_ex_p),
inference(cn,[status(thm)],[3934,theory(equality)]) ).
cnf(3937,plain,
iext(uri_rdf_type,uri_ex_p,uri_owl_TransitiveProperty),
inference(spm,[status(thm)],[207,3935,theory(equality)]) ).
cnf(3968,plain,
$false,
inference(sr,[status(thm)],[3937,211,theory(equality)]) ).
cnf(3969,plain,
$false,
3968,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWB/SWB051+1.p
% --creating new selector for [SWB001+0.ax]
% -running prover on /tmp/tmp8WSj-b/sel_SWB051+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWB051+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWB/SWB051+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWB/SWB051+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
%
%------------------------------------------------------------------------------