TSTP Solution File: SWB058+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWB058+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 00:42:52 EST 2011
% Result : Theorem 0.35s
% Output : CNFRefutation 0.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 7
% Syntax : Number of formulae : 68 ( 19 unt; 0 def)
% Number of atoms : 298 ( 41 equ)
% Maximal formula atoms : 26 ( 4 avg)
% Number of connectives : 368 ( 138 ~; 152 |; 71 &)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 14 con; 0-3 aty)
% Number of variables : 110 ( 1 sgn 62 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(5,axiom,
! [X1,X2] :
( iext(uri_owl_oneOf,X1,X2)
=> ( ic(X1)
& icext(uri_rdf_List,X2) ) ),
file('/tmp/tmp-PF6X3/sel_SWB058+1.p_1',owl_prop_oneof_ext) ).
fof(13,axiom,
! [X1,X2] :
( iext(uri_owl_differentFrom,X1,X2)
<=> X1 != X2 ),
file('/tmp/tmp-PF6X3/sel_SWB058+1.p_1',owl_eqdis_differentfrom) ).
fof(14,axiom,
! [X12,X13] :
( iext(uri_owl_disjointWith,X12,X13)
<=> ( ic(X12)
& ic(X13)
& ! [X1] :
~ ( icext(X12,X1)
& icext(X13,X1) ) ) ),
file('/tmp/tmp-PF6X3/sel_SWB058+1.p_1',owl_eqdis_disjointwith) ).
fof(28,axiom,
! [X5,X6,X14] :
( ( iext(uri_rdf_first,X6,X14)
& iext(uri_rdf_rest,X6,uri_rdf_nil) )
=> ( iext(uri_owl_oneOf,X5,X6)
<=> ( ic(X5)
& ! [X1] :
( icext(X5,X1)
<=> X1 = X14 ) ) ) ),
file('/tmp/tmp-PF6X3/sel_SWB058+1.p_1',owl_enum_class_001) ).
fof(41,axiom,
! [X1,X4] :
( iext(uri_rdf_type,X1,X4)
<=> icext(X4,X1) ),
file('/tmp/tmp-PF6X3/sel_SWB058+1.p_1',rdfs_cext_def) ).
fof(44,axiom,
? [X19,X20] :
( iext(uri_owl_oneOf,uri_ex_c2,X20)
& iext(uri_rdf_first,X19,uri_ex_x)
& iext(uri_rdf_rest,X19,uri_rdf_nil)
& iext(uri_owl_differentFrom,uri_ex_x,uri_ex_y)
& iext(uri_owl_oneOf,uri_ex_c1,X19)
& iext(uri_rdf_first,X20,uri_ex_y)
& iext(uri_rdf_rest,X20,uri_rdf_nil) ),
file('/tmp/tmp-PF6X3/sel_SWB058+1.p_1',premise_rdfbased_sem_eqdis_disclass_ext) ).
fof(45,conjecture,
iext(uri_owl_disjointWith,uri_ex_c1,uri_ex_c2),
file('/tmp/tmp-PF6X3/sel_SWB058+1.p_1',conclusion_rdfbased_sem_eqdis_disclass_ext) ).
fof(46,negated_conjecture,
~ iext(uri_owl_disjointWith,uri_ex_c1,uri_ex_c2),
inference(assume_negation,[status(cth)],[45]) ).
fof(48,negated_conjecture,
~ iext(uri_owl_disjointWith,uri_ex_c1,uri_ex_c2),
inference(fof_simplification,[status(thm)],[46,theory(equality)]) ).
fof(60,plain,
! [X1,X2] :
( ~ iext(uri_owl_oneOf,X1,X2)
| ( ic(X1)
& icext(uri_rdf_List,X2) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(61,plain,
! [X3,X4] :
( ~ iext(uri_owl_oneOf,X3,X4)
| ( ic(X3)
& icext(uri_rdf_List,X4) ) ),
inference(variable_rename,[status(thm)],[60]) ).
fof(62,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)],[61]) ).
cnf(64,plain,
( ic(X1)
| ~ iext(uri_owl_oneOf,X1,X2) ),
inference(split_conjunct,[status(thm)],[62]) ).
fof(89,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(90,plain,
! [X3,X4] :
( ( ~ iext(uri_owl_differentFrom,X3,X4)
| X3 != X4 )
& ( X3 = X4
| iext(uri_owl_differentFrom,X3,X4) ) ),
inference(variable_rename,[status(thm)],[89]) ).
cnf(92,plain,
( X1 != X2
| ~ iext(uri_owl_differentFrom,X1,X2) ),
inference(split_conjunct,[status(thm)],[90]) ).
fof(93,plain,
! [X12,X13] :
( ( ~ iext(uri_owl_disjointWith,X12,X13)
| ( ic(X12)
& ic(X13)
& ! [X1] :
( ~ icext(X12,X1)
| ~ icext(X13,X1) ) ) )
& ( ~ ic(X12)
| ~ ic(X13)
| ? [X1] :
( icext(X12,X1)
& icext(X13,X1) )
| iext(uri_owl_disjointWith,X12,X13) ) ),
inference(fof_nnf,[status(thm)],[14]) ).
fof(94,plain,
! [X14,X15] :
( ( ~ iext(uri_owl_disjointWith,X14,X15)
| ( ic(X14)
& ic(X15)
& ! [X16] :
( ~ icext(X14,X16)
| ~ icext(X15,X16) ) ) )
& ( ~ ic(X14)
| ~ ic(X15)
| ? [X17] :
( icext(X14,X17)
& icext(X15,X17) )
| iext(uri_owl_disjointWith,X14,X15) ) ),
inference(variable_rename,[status(thm)],[93]) ).
fof(95,plain,
! [X14,X15] :
( ( ~ iext(uri_owl_disjointWith,X14,X15)
| ( ic(X14)
& ic(X15)
& ! [X16] :
( ~ icext(X14,X16)
| ~ icext(X15,X16) ) ) )
& ( ~ ic(X14)
| ~ ic(X15)
| ( icext(X14,esk3_2(X14,X15))
& icext(X15,esk3_2(X14,X15)) )
| iext(uri_owl_disjointWith,X14,X15) ) ),
inference(skolemize,[status(esa)],[94]) ).
fof(96,plain,
! [X14,X15,X16] :
( ( ( ( ~ icext(X14,X16)
| ~ icext(X15,X16) )
& ic(X14)
& ic(X15) )
| ~ iext(uri_owl_disjointWith,X14,X15) )
& ( ~ ic(X14)
| ~ ic(X15)
| ( icext(X14,esk3_2(X14,X15))
& icext(X15,esk3_2(X14,X15)) )
| iext(uri_owl_disjointWith,X14,X15) ) ),
inference(shift_quantors,[status(thm)],[95]) ).
fof(97,plain,
! [X14,X15,X16] :
( ( ~ icext(X14,X16)
| ~ icext(X15,X16)
| ~ iext(uri_owl_disjointWith,X14,X15) )
& ( ic(X14)
| ~ iext(uri_owl_disjointWith,X14,X15) )
& ( ic(X15)
| ~ iext(uri_owl_disjointWith,X14,X15) )
& ( icext(X14,esk3_2(X14,X15))
| ~ ic(X14)
| ~ ic(X15)
| iext(uri_owl_disjointWith,X14,X15) )
& ( icext(X15,esk3_2(X14,X15))
| ~ ic(X14)
| ~ ic(X15)
| iext(uri_owl_disjointWith,X14,X15) ) ),
inference(distribute,[status(thm)],[96]) ).
cnf(98,plain,
( iext(uri_owl_disjointWith,X1,X2)
| icext(X2,esk3_2(X1,X2))
| ~ ic(X2)
| ~ ic(X1) ),
inference(split_conjunct,[status(thm)],[97]) ).
cnf(99,plain,
( iext(uri_owl_disjointWith,X1,X2)
| icext(X1,esk3_2(X1,X2))
| ~ ic(X2)
| ~ ic(X1) ),
inference(split_conjunct,[status(thm)],[97]) ).
fof(160,plain,
! [X5,X6,X14] :
( ~ iext(uri_rdf_first,X6,X14)
| ~ iext(uri_rdf_rest,X6,uri_rdf_nil)
| ( ( ~ iext(uri_owl_oneOf,X5,X6)
| ( ic(X5)
& ! [X1] :
( ( ~ icext(X5,X1)
| X1 = X14 )
& ( X1 != X14
| icext(X5,X1) ) ) ) )
& ( ~ ic(X5)
| ? [X1] :
( ( ~ icext(X5,X1)
| X1 != X14 )
& ( icext(X5,X1)
| X1 = X14 ) )
| iext(uri_owl_oneOf,X5,X6) ) ) ),
inference(fof_nnf,[status(thm)],[28]) ).
fof(161,plain,
! [X15,X16,X17] :
( ~ iext(uri_rdf_first,X16,X17)
| ~ iext(uri_rdf_rest,X16,uri_rdf_nil)
| ( ( ~ iext(uri_owl_oneOf,X15,X16)
| ( ic(X15)
& ! [X18] :
( ( ~ icext(X15,X18)
| X18 = X17 )
& ( X18 != X17
| icext(X15,X18) ) ) ) )
& ( ~ ic(X15)
| ? [X19] :
( ( ~ icext(X15,X19)
| X19 != X17 )
& ( icext(X15,X19)
| X19 = X17 ) )
| iext(uri_owl_oneOf,X15,X16) ) ) ),
inference(variable_rename,[status(thm)],[160]) ).
fof(162,plain,
! [X15,X16,X17] :
( ~ iext(uri_rdf_first,X16,X17)
| ~ iext(uri_rdf_rest,X16,uri_rdf_nil)
| ( ( ~ iext(uri_owl_oneOf,X15,X16)
| ( ic(X15)
& ! [X18] :
( ( ~ icext(X15,X18)
| X18 = X17 )
& ( X18 != X17
| icext(X15,X18) ) ) ) )
& ( ~ ic(X15)
| ( ( ~ icext(X15,esk7_3(X15,X16,X17))
| esk7_3(X15,X16,X17) != X17 )
& ( icext(X15,esk7_3(X15,X16,X17))
| esk7_3(X15,X16,X17) = X17 ) )
| iext(uri_owl_oneOf,X15,X16) ) ) ),
inference(skolemize,[status(esa)],[161]) ).
fof(163,plain,
! [X15,X16,X17,X18] :
( ( ( ( ( ~ icext(X15,X18)
| X18 = X17 )
& ( X18 != X17
| icext(X15,X18) )
& ic(X15) )
| ~ iext(uri_owl_oneOf,X15,X16) )
& ( ~ ic(X15)
| ( ( ~ icext(X15,esk7_3(X15,X16,X17))
| esk7_3(X15,X16,X17) != X17 )
& ( icext(X15,esk7_3(X15,X16,X17))
| esk7_3(X15,X16,X17) = X17 ) )
| iext(uri_owl_oneOf,X15,X16) ) )
| ~ iext(uri_rdf_first,X16,X17)
| ~ iext(uri_rdf_rest,X16,uri_rdf_nil) ),
inference(shift_quantors,[status(thm)],[162]) ).
fof(164,plain,
! [X15,X16,X17,X18] :
( ( ~ icext(X15,X18)
| X18 = X17
| ~ iext(uri_owl_oneOf,X15,X16)
| ~ iext(uri_rdf_first,X16,X17)
| ~ iext(uri_rdf_rest,X16,uri_rdf_nil) )
& ( X18 != X17
| icext(X15,X18)
| ~ iext(uri_owl_oneOf,X15,X16)
| ~ iext(uri_rdf_first,X16,X17)
| ~ iext(uri_rdf_rest,X16,uri_rdf_nil) )
& ( ic(X15)
| ~ iext(uri_owl_oneOf,X15,X16)
| ~ iext(uri_rdf_first,X16,X17)
| ~ iext(uri_rdf_rest,X16,uri_rdf_nil) )
& ( ~ icext(X15,esk7_3(X15,X16,X17))
| esk7_3(X15,X16,X17) != X17
| ~ ic(X15)
| iext(uri_owl_oneOf,X15,X16)
| ~ iext(uri_rdf_first,X16,X17)
| ~ iext(uri_rdf_rest,X16,uri_rdf_nil) )
& ( icext(X15,esk7_3(X15,X16,X17))
| esk7_3(X15,X16,X17) = X17
| ~ ic(X15)
| iext(uri_owl_oneOf,X15,X16)
| ~ iext(uri_rdf_first,X16,X17)
| ~ iext(uri_rdf_rest,X16,uri_rdf_nil) ) ),
inference(distribute,[status(thm)],[163]) ).
cnf(169,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)],[164]) ).
fof(220,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(221,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)],[220]) ).
cnf(222,plain,
( iext(uri_rdf_type,X1,X2)
| ~ icext(X2,X1) ),
inference(split_conjunct,[status(thm)],[221]) ).
cnf(223,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_type,X2,X1) ),
inference(split_conjunct,[status(thm)],[221]) ).
fof(226,plain,
? [X21,X22] :
( iext(uri_owl_oneOf,uri_ex_c2,X22)
& iext(uri_rdf_first,X21,uri_ex_x)
& iext(uri_rdf_rest,X21,uri_rdf_nil)
& iext(uri_owl_differentFrom,uri_ex_x,uri_ex_y)
& iext(uri_owl_oneOf,uri_ex_c1,X21)
& iext(uri_rdf_first,X22,uri_ex_y)
& iext(uri_rdf_rest,X22,uri_rdf_nil) ),
inference(variable_rename,[status(thm)],[44]) ).
fof(227,plain,
( iext(uri_owl_oneOf,uri_ex_c2,esk12_0)
& iext(uri_rdf_first,esk11_0,uri_ex_x)
& iext(uri_rdf_rest,esk11_0,uri_rdf_nil)
& iext(uri_owl_differentFrom,uri_ex_x,uri_ex_y)
& iext(uri_owl_oneOf,uri_ex_c1,esk11_0)
& iext(uri_rdf_first,esk12_0,uri_ex_y)
& iext(uri_rdf_rest,esk12_0,uri_rdf_nil) ),
inference(skolemize,[status(esa)],[226]) ).
cnf(228,plain,
iext(uri_rdf_rest,esk12_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[227]) ).
cnf(229,plain,
iext(uri_rdf_first,esk12_0,uri_ex_y),
inference(split_conjunct,[status(thm)],[227]) ).
cnf(230,plain,
iext(uri_owl_oneOf,uri_ex_c1,esk11_0),
inference(split_conjunct,[status(thm)],[227]) ).
cnf(231,plain,
iext(uri_owl_differentFrom,uri_ex_x,uri_ex_y),
inference(split_conjunct,[status(thm)],[227]) ).
cnf(232,plain,
iext(uri_rdf_rest,esk11_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[227]) ).
cnf(233,plain,
iext(uri_rdf_first,esk11_0,uri_ex_x),
inference(split_conjunct,[status(thm)],[227]) ).
cnf(234,plain,
iext(uri_owl_oneOf,uri_ex_c2,esk12_0),
inference(split_conjunct,[status(thm)],[227]) ).
cnf(235,negated_conjecture,
~ iext(uri_owl_disjointWith,uri_ex_c1,uri_ex_c2),
inference(split_conjunct,[status(thm)],[48]) ).
cnf(257,plain,
~ iext(uri_owl_differentFrom,X1,X1),
inference(er,[status(thm)],[92,theory(equality)]) ).
cnf(262,plain,
ic(uri_ex_c2),
inference(spm,[status(thm)],[64,234,theory(equality)]) ).
cnf(263,plain,
ic(uri_ex_c1),
inference(spm,[status(thm)],[64,230,theory(equality)]) ).
cnf(312,plain,
( X1 = X2
| ~ icext(uri_ex_c2,X2)
| ~ iext(uri_rdf_rest,esk12_0,uri_rdf_nil)
| ~ iext(uri_rdf_first,esk12_0,X1) ),
inference(spm,[status(thm)],[169,234,theory(equality)]) ).
cnf(313,plain,
( X1 = X2
| ~ icext(uri_ex_c1,X2)
| ~ iext(uri_rdf_rest,esk11_0,uri_rdf_nil)
| ~ iext(uri_rdf_first,esk11_0,X1) ),
inference(spm,[status(thm)],[169,230,theory(equality)]) ).
cnf(314,plain,
( X1 = X2
| ~ icext(uri_ex_c2,X2)
| $false
| ~ iext(uri_rdf_first,esk12_0,X1) ),
inference(rw,[status(thm)],[312,228,theory(equality)]) ).
cnf(315,plain,
( X1 = X2
| ~ icext(uri_ex_c2,X2)
| ~ iext(uri_rdf_first,esk12_0,X1) ),
inference(cn,[status(thm)],[314,theory(equality)]) ).
cnf(316,plain,
( X1 = X2
| ~ icext(uri_ex_c1,X2)
| $false
| ~ iext(uri_rdf_first,esk11_0,X1) ),
inference(rw,[status(thm)],[313,232,theory(equality)]) ).
cnf(317,plain,
( X1 = X2
| ~ icext(uri_ex_c1,X2)
| ~ iext(uri_rdf_first,esk11_0,X1) ),
inference(cn,[status(thm)],[316,theory(equality)]) ).
cnf(319,plain,
( iext(uri_rdf_type,esk3_2(X1,X2),X1)
| iext(uri_owl_disjointWith,X1,X2)
| ~ ic(X2)
| ~ ic(X1) ),
inference(spm,[status(thm)],[222,99,theory(equality)]) ).
cnf(849,plain,
( uri_ex_y = X1
| ~ icext(uri_ex_c2,X1) ),
inference(spm,[status(thm)],[315,229,theory(equality)]) ).
cnf(883,plain,
( uri_ex_x = X1
| ~ icext(uri_ex_c1,X1) ),
inference(spm,[status(thm)],[317,233,theory(equality)]) ).
cnf(946,plain,
( uri_ex_y = esk3_2(X1,uri_ex_c2)
| iext(uri_owl_disjointWith,X1,uri_ex_c2)
| ~ ic(uri_ex_c2)
| ~ ic(X1) ),
inference(spm,[status(thm)],[849,98,theory(equality)]) ).
cnf(955,plain,
( uri_ex_y = esk3_2(X1,uri_ex_c2)
| iext(uri_owl_disjointWith,X1,uri_ex_c2)
| $false
| ~ ic(X1) ),
inference(rw,[status(thm)],[946,262,theory(equality)]) ).
cnf(956,plain,
( uri_ex_y = esk3_2(X1,uri_ex_c2)
| iext(uri_owl_disjointWith,X1,uri_ex_c2)
| ~ ic(X1) ),
inference(cn,[status(thm)],[955,theory(equality)]) ).
cnf(1010,plain,
( uri_ex_x = X1
| ~ iext(uri_rdf_type,X1,uri_ex_c1) ),
inference(spm,[status(thm)],[883,223,theory(equality)]) ).
cnf(1079,plain,
( iext(uri_rdf_type,uri_ex_y,X1)
| iext(uri_owl_disjointWith,X1,uri_ex_c2)
| ~ ic(uri_ex_c2)
| ~ ic(X1) ),
inference(spm,[status(thm)],[319,956,theory(equality)]) ).
cnf(1090,plain,
( iext(uri_rdf_type,uri_ex_y,X1)
| iext(uri_owl_disjointWith,X1,uri_ex_c2)
| $false
| ~ ic(X1) ),
inference(rw,[status(thm)],[1079,262,theory(equality)]) ).
cnf(1091,plain,
( iext(uri_rdf_type,uri_ex_y,X1)
| iext(uri_owl_disjointWith,X1,uri_ex_c2)
| ~ ic(X1) ),
inference(cn,[status(thm)],[1090,theory(equality)]) ).
cnf(1114,plain,
( iext(uri_owl_disjointWith,uri_ex_c1,uri_ex_c2)
| iext(uri_rdf_type,uri_ex_y,uri_ex_c1) ),
inference(spm,[status(thm)],[1091,263,theory(equality)]) ).
cnf(1119,plain,
iext(uri_rdf_type,uri_ex_y,uri_ex_c1),
inference(sr,[status(thm)],[1114,235,theory(equality)]) ).
cnf(1123,plain,
uri_ex_x = uri_ex_y,
inference(spm,[status(thm)],[1010,1119,theory(equality)]) ).
cnf(1131,plain,
iext(uri_owl_differentFrom,uri_ex_x,uri_ex_x),
inference(rw,[status(thm)],[231,1123,theory(equality)]) ).
cnf(1132,plain,
$false,
inference(sr,[status(thm)],[1131,257,theory(equality)]) ).
cnf(1133,plain,
$false,
1132,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWB/SWB058+1.p
% --creating new selector for [SWB001+0.ax]
% -running prover on /tmp/tmp-PF6X3/sel_SWB058+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWB058+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWB/SWB058+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWB/SWB058+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
%
%------------------------------------------------------------------------------