TSTP Solution File: SWB056+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWB056+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 00:42:25 EST 2011
% Result : Theorem 0.47s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 6
% Syntax : Number of formulae : 49 ( 17 unt; 0 def)
% Number of atoms : 263 ( 75 equ)
% Maximal formula atoms : 53 ( 5 avg)
% Number of connectives : 350 ( 136 ~; 150 |; 58 &)
% ( 5 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 13 con; 0-5 aty)
% Number of variables : 91 ( 0 sgn 54 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(13,axiom,
! [X1,X2] :
( iext(uri_owl_differentFrom,X1,X2)
<=> X1 != X2 ),
file('/tmp/tmp78vu3D/sel_SWB056+1.p_1',owl_eqdis_differentfrom) ).
fof(25,axiom,
! [X1,X2] :
( iext(uri_owl_sameAs,X1,X2)
<=> X1 = X2 ),
file('/tmp/tmp78vu3D/sel_SWB056+1.p_1',owl_eqdis_sameas) ).
fof(32,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/tmp78vu3D/sel_SWB056+1.p_1',owl_enum_class_002) ).
fof(41,axiom,
! [X1,X4] :
( iext(uri_rdf_type,X1,X4)
<=> icext(X4,X1) ),
file('/tmp/tmp78vu3D/sel_SWB056+1.p_1',rdfs_cext_def) ).
fof(44,axiom,
? [X17,X18] :
( iext(uri_rdf_type,uri_ex_z,uri_ex_e)
& iext(uri_owl_differentFrom,uri_ex_z,uri_ex_x)
& iext(uri_owl_oneOf,uri_ex_e,X17)
& iext(uri_rdf_first,X17,uri_ex_x)
& iext(uri_rdf_rest,X17,X18)
& iext(uri_rdf_first,X18,uri_ex_y)
& iext(uri_rdf_rest,X18,uri_rdf_nil) ),
file('/tmp/tmp78vu3D/sel_SWB056+1.p_1',premise_rdfbased_sem_enum_inst_closed) ).
fof(45,conjecture,
iext(uri_owl_sameAs,uri_ex_z,uri_ex_y),
file('/tmp/tmp78vu3D/sel_SWB056+1.p_1',conclusion_rdfbased_sem_enum_inst_closed) ).
fof(46,negated_conjecture,
~ iext(uri_owl_sameAs,uri_ex_z,uri_ex_y),
inference(assume_negation,[status(cth)],[45]) ).
fof(48,negated_conjecture,
~ iext(uri_owl_sameAs,uri_ex_z,uri_ex_y),
inference(fof_simplification,[status(thm)],[46,theory(equality)]) ).
fof(91,plain,
! [X1,X2] :
( ( ~ iext(uri_owl_differentFrom,X1,X2)
| X1 != X2 )
& ( X1 = X2
| iext(uri_owl_differentFrom,X1,X2) ) ),
inference(fof_nnf,[status(thm)],[13]) ).
fof(92,plain,
! [X3,X4] :
( ( ~ iext(uri_owl_differentFrom,X3,X4)
| X3 != X4 )
& ( X3 = X4
| iext(uri_owl_differentFrom,X3,X4) ) ),
inference(variable_rename,[status(thm)],[91]) ).
cnf(94,plain,
( X1 != X2
| ~ iext(uri_owl_differentFrom,X1,X2) ),
inference(split_conjunct,[status(thm)],[92]) ).
fof(148,plain,
! [X1,X2] :
( ( ~ iext(uri_owl_sameAs,X1,X2)
| X1 = X2 )
& ( X1 != X2
| iext(uri_owl_sameAs,X1,X2) ) ),
inference(fof_nnf,[status(thm)],[25]) ).
fof(149,plain,
! [X3,X4] :
( ( ~ iext(uri_owl_sameAs,X3,X4)
| X3 = X4 )
& ( X3 != X4
| iext(uri_owl_sameAs,X3,X4) ) ),
inference(variable_rename,[status(thm)],[148]) ).
cnf(150,plain,
( iext(uri_owl_sameAs,X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[149]) ).
fof(178,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)],[32]) ).
fof(179,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)],[178]) ).
fof(180,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,esk9_5(X14,X15,X16,X17,X18))
| ( esk9_5(X14,X15,X16,X17,X18) != X16
& esk9_5(X14,X15,X16,X17,X18) != X18 ) )
& ( icext(X14,esk9_5(X14,X15,X16,X17,X18))
| esk9_5(X14,X15,X16,X17,X18) = X16
| esk9_5(X14,X15,X16,X17,X18) = X18 ) )
| iext(uri_owl_oneOf,X14,X15) ) ) ),
inference(skolemize,[status(esa)],[179]) ).
fof(181,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,esk9_5(X14,X15,X16,X17,X18))
| ( esk9_5(X14,X15,X16,X17,X18) != X16
& esk9_5(X14,X15,X16,X17,X18) != X18 ) )
& ( icext(X14,esk9_5(X14,X15,X16,X17,X18))
| esk9_5(X14,X15,X16,X17,X18) = X16
| esk9_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)],[180]) ).
fof(182,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) )
& ( esk9_5(X14,X15,X16,X17,X18) != X16
| ~ icext(X14,esk9_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) )
& ( esk9_5(X14,X15,X16,X17,X18) != X18
| ~ icext(X14,esk9_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,esk9_5(X14,X15,X16,X17,X18))
| esk9_5(X14,X15,X16,X17,X18) = X16
| esk9_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)],[181]) ).
cnf(189,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)],[182]) ).
fof(214,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)],[41]) ).
fof(215,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)],[214]) ).
cnf(217,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_type,X2,X1) ),
inference(split_conjunct,[status(thm)],[215]) ).
fof(220,plain,
? [X19,X20] :
( iext(uri_rdf_type,uri_ex_z,uri_ex_e)
& iext(uri_owl_differentFrom,uri_ex_z,uri_ex_x)
& iext(uri_owl_oneOf,uri_ex_e,X19)
& iext(uri_rdf_first,X19,uri_ex_x)
& iext(uri_rdf_rest,X19,X20)
& iext(uri_rdf_first,X20,uri_ex_y)
& iext(uri_rdf_rest,X20,uri_rdf_nil) ),
inference(variable_rename,[status(thm)],[44]) ).
fof(221,plain,
( iext(uri_rdf_type,uri_ex_z,uri_ex_e)
& iext(uri_owl_differentFrom,uri_ex_z,uri_ex_x)
& iext(uri_owl_oneOf,uri_ex_e,esk10_0)
& iext(uri_rdf_first,esk10_0,uri_ex_x)
& iext(uri_rdf_rest,esk10_0,esk11_0)
& iext(uri_rdf_first,esk11_0,uri_ex_y)
& iext(uri_rdf_rest,esk11_0,uri_rdf_nil) ),
inference(skolemize,[status(esa)],[220]) ).
cnf(222,plain,
iext(uri_rdf_rest,esk11_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[221]) ).
cnf(223,plain,
iext(uri_rdf_first,esk11_0,uri_ex_y),
inference(split_conjunct,[status(thm)],[221]) ).
cnf(224,plain,
iext(uri_rdf_rest,esk10_0,esk11_0),
inference(split_conjunct,[status(thm)],[221]) ).
cnf(225,plain,
iext(uri_rdf_first,esk10_0,uri_ex_x),
inference(split_conjunct,[status(thm)],[221]) ).
cnf(226,plain,
iext(uri_owl_oneOf,uri_ex_e,esk10_0),
inference(split_conjunct,[status(thm)],[221]) ).
cnf(227,plain,
iext(uri_owl_differentFrom,uri_ex_z,uri_ex_x),
inference(split_conjunct,[status(thm)],[221]) ).
cnf(228,plain,
iext(uri_rdf_type,uri_ex_z,uri_ex_e),
inference(split_conjunct,[status(thm)],[221]) ).
cnf(229,negated_conjecture,
~ iext(uri_owl_sameAs,uri_ex_z,uri_ex_y),
inference(split_conjunct,[status(thm)],[48]) ).
cnf(250,plain,
iext(uri_owl_sameAs,X1,X1),
inference(er,[status(thm)],[150,theory(equality)]) ).
cnf(252,plain,
~ iext(uri_owl_differentFrom,X1,X1),
inference(er,[status(thm)],[94,theory(equality)]) ).
cnf(370,plain,
( X1 = X2
| X3 = X2
| ~ icext(X4,X2)
| ~ iext(uri_owl_oneOf,X4,X5)
| ~ iext(uri_rdf_first,X5,X3)
| ~ iext(uri_rdf_first,esk11_0,X1)
| ~ iext(uri_rdf_rest,X5,esk11_0) ),
inference(spm,[status(thm)],[189,222,theory(equality)]) ).
cnf(1149,plain,
( X1 = X2
| uri_ex_y = X2
| ~ icext(X3,X2)
| ~ iext(uri_rdf_rest,X4,esk11_0)
| ~ iext(uri_owl_oneOf,X3,X4)
| ~ iext(uri_rdf_first,X4,X1) ),
inference(spm,[status(thm)],[370,223,theory(equality)]) ).
cnf(1209,plain,
( uri_ex_y = X1
| X2 = X1
| ~ icext(uri_ex_e,X1)
| ~ iext(uri_rdf_rest,esk10_0,esk11_0)
| ~ iext(uri_rdf_first,esk10_0,X2) ),
inference(spm,[status(thm)],[1149,226,theory(equality)]) ).
cnf(1212,plain,
( uri_ex_y = X1
| X2 = X1
| ~ icext(uri_ex_e,X1)
| $false
| ~ iext(uri_rdf_first,esk10_0,X2) ),
inference(rw,[status(thm)],[1209,224,theory(equality)]) ).
cnf(1213,plain,
( uri_ex_y = X1
| X2 = X1
| ~ icext(uri_ex_e,X1)
| ~ iext(uri_rdf_first,esk10_0,X2) ),
inference(cn,[status(thm)],[1212,theory(equality)]) ).
cnf(1218,plain,
( uri_ex_y = X1
| uri_ex_x = X1
| ~ icext(uri_ex_e,X1) ),
inference(spm,[status(thm)],[1213,225,theory(equality)]) ).
cnf(1219,plain,
( uri_ex_x = X1
| uri_ex_y = X1
| ~ iext(uri_rdf_type,X1,uri_ex_e) ),
inference(spm,[status(thm)],[1218,217,theory(equality)]) ).
cnf(1302,plain,
( uri_ex_y = uri_ex_z
| uri_ex_x = uri_ex_z ),
inference(spm,[status(thm)],[1219,228,theory(equality)]) ).
cnf(1313,negated_conjecture,
( uri_ex_x = uri_ex_z
| ~ iext(uri_owl_sameAs,uri_ex_z,uri_ex_z) ),
inference(spm,[status(thm)],[229,1302,theory(equality)]) ).
cnf(1315,negated_conjecture,
( uri_ex_x = uri_ex_z
| $false ),
inference(rw,[status(thm)],[1313,250,theory(equality)]) ).
cnf(1316,negated_conjecture,
uri_ex_x = uri_ex_z,
inference(cn,[status(thm)],[1315,theory(equality)]) ).
cnf(1319,plain,
iext(uri_owl_differentFrom,uri_ex_z,uri_ex_z),
inference(rw,[status(thm)],[227,1316,theory(equality)]) ).
cnf(1320,plain,
$false,
inference(sr,[status(thm)],[1319,252,theory(equality)]) ).
cnf(1321,plain,
$false,
1320,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWB/SWB056+1.p
% --creating new selector for [SWB001+0.ax]
% -running prover on /tmp/tmp78vu3D/sel_SWB056+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWB056+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWB/SWB056+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWB/SWB056+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
%
%------------------------------------------------------------------------------