TSTP Solution File: SWB068+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWB068+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 00:45:35 EST 2011
% Result : Theorem 0.28s
% Output : CNFRefutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 7
% Syntax : Number of formulae : 71 ( 16 unt; 0 def)
% Number of atoms : 337 ( 81 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 421 ( 155 ~; 206 |; 55 &)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 13 con; 0-6 aty)
% Number of variables : 132 ( 0 sgn 53 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(3,axiom,
! [X3,X4,X5,X6,X7,X8] :
( ( iext(uri_rdf_first,X3,X4)
& iext(uri_rdf_rest,X3,X5)
& iext(uri_rdf_first,X5,X6)
& iext(uri_rdf_rest,X5,X7)
& iext(uri_rdf_first,X7,X8)
& iext(uri_rdf_rest,X7,uri_rdf_nil)
& X4 != X6
& X4 != X8
& X6 != X8 )
=> ? [X9] :
( icext(uri_owl_AllDifferent,X9)
& iext(uri_owl_members,X9,X3) ) ),
file('/tmp/tmpbOkRX3/sel_SWB068+1.p_1',owl_ndis_alldifferent_members_fi_003) ).
fof(8,axiom,
! [X1,X2] :
( iext(uri_owl_differentFrom,X1,X2)
<=> X1 != X2 ),
file('/tmp/tmpbOkRX3/sel_SWB068+1.p_1',owl_eqdis_differentfrom) ).
fof(20,axiom,
! [X1,X13] :
( iext(uri_rdf_type,X1,X13)
<=> icext(X13,X1) ),
file('/tmp/tmpbOkRX3/sel_SWB068+1.p_1',rdfs_cext_def) ).
fof(23,axiom,
? [X14,X15,X16] :
( iext(uri_owl_differentFrom,uri_ex_w1,uri_ex_w2)
& iext(uri_owl_differentFrom,uri_ex_w1,uri_ex_w3)
& iext(uri_rdf_first,X14,uri_ex_w3)
& iext(uri_rdf_rest,X14,uri_rdf_nil)
& iext(uri_owl_differentFrom,uri_ex_w2,uri_ex_w3)
& iext(uri_rdf_first,X16,uri_ex_w2)
& iext(uri_rdf_rest,X16,X14)
& iext(uri_rdf_first,X15,uri_ex_w1)
& iext(uri_rdf_rest,X15,X16) ),
file('/tmp/tmpbOkRX3/sel_SWB068+1.p_1',premise_rdfbased_sem_ndis_alldifferent_bw) ).
fof(24,conjecture,
? [X15,X14,X16,X17] :
( iext(uri_rdf_first,X14,uri_ex_w1)
& iext(uri_rdf_rest,X14,X16)
& iext(uri_rdf_first,X16,uri_ex_w2)
& iext(uri_rdf_rest,X16,X15)
& iext(uri_rdf_type,X17,uri_owl_AllDifferent)
& iext(uri_owl_members,X17,X14)
& iext(uri_rdf_first,X15,uri_ex_w3)
& iext(uri_rdf_rest,X15,uri_rdf_nil) ),
file('/tmp/tmpbOkRX3/sel_SWB068+1.p_1',conclusion_rdfbased_sem_ndis_alldifferent_bw) ).
fof(25,negated_conjecture,
~ ? [X15,X14,X16,X17] :
( iext(uri_rdf_first,X14,uri_ex_w1)
& iext(uri_rdf_rest,X14,X16)
& iext(uri_rdf_first,X16,uri_ex_w2)
& iext(uri_rdf_rest,X16,X15)
& iext(uri_rdf_type,X17,uri_owl_AllDifferent)
& iext(uri_owl_members,X17,X14)
& iext(uri_rdf_first,X15,uri_ex_w3)
& iext(uri_rdf_rest,X15,uri_rdf_nil) ),
inference(assume_negation,[status(cth)],[24]) ).
fof(32,plain,
! [X3,X4,X5,X6,X7,X8] :
( ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,X5)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_rdf_rest,X5,X7)
| ~ iext(uri_rdf_first,X7,X8)
| ~ iext(uri_rdf_rest,X7,uri_rdf_nil)
| X4 = X6
| X4 = X8
| X6 = X8
| ? [X9] :
( icext(uri_owl_AllDifferent,X9)
& iext(uri_owl_members,X9,X3) ) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(33,plain,
! [X10,X11,X12,X13,X14,X15] :
( ~ iext(uri_rdf_first,X10,X11)
| ~ iext(uri_rdf_rest,X10,X12)
| ~ iext(uri_rdf_first,X12,X13)
| ~ iext(uri_rdf_rest,X12,X14)
| ~ iext(uri_rdf_first,X14,X15)
| ~ iext(uri_rdf_rest,X14,uri_rdf_nil)
| X11 = X13
| X11 = X15
| X13 = X15
| ? [X16] :
( icext(uri_owl_AllDifferent,X16)
& iext(uri_owl_members,X16,X10) ) ),
inference(variable_rename,[status(thm)],[32]) ).
fof(34,plain,
! [X10,X11,X12,X13,X14,X15] :
( ~ iext(uri_rdf_first,X10,X11)
| ~ iext(uri_rdf_rest,X10,X12)
| ~ iext(uri_rdf_first,X12,X13)
| ~ iext(uri_rdf_rest,X12,X14)
| ~ iext(uri_rdf_first,X14,X15)
| ~ iext(uri_rdf_rest,X14,uri_rdf_nil)
| X11 = X13
| X11 = X15
| X13 = X15
| ( icext(uri_owl_AllDifferent,esk1_6(X10,X11,X12,X13,X14,X15))
& iext(uri_owl_members,esk1_6(X10,X11,X12,X13,X14,X15),X10) ) ),
inference(skolemize,[status(esa)],[33]) ).
fof(35,plain,
! [X10,X11,X12,X13,X14,X15] :
( ( icext(uri_owl_AllDifferent,esk1_6(X10,X11,X12,X13,X14,X15))
| ~ iext(uri_rdf_first,X10,X11)
| ~ iext(uri_rdf_rest,X10,X12)
| ~ iext(uri_rdf_first,X12,X13)
| ~ iext(uri_rdf_rest,X12,X14)
| ~ iext(uri_rdf_first,X14,X15)
| ~ iext(uri_rdf_rest,X14,uri_rdf_nil)
| X11 = X13
| X11 = X15
| X13 = X15 )
& ( iext(uri_owl_members,esk1_6(X10,X11,X12,X13,X14,X15),X10)
| ~ iext(uri_rdf_first,X10,X11)
| ~ iext(uri_rdf_rest,X10,X12)
| ~ iext(uri_rdf_first,X12,X13)
| ~ iext(uri_rdf_rest,X12,X14)
| ~ iext(uri_rdf_first,X14,X15)
| ~ iext(uri_rdf_rest,X14,uri_rdf_nil)
| X11 = X13
| X11 = X15
| X13 = X15 ) ),
inference(distribute,[status(thm)],[34]) ).
cnf(36,plain,
( X1 = X2
| X3 = X2
| X3 = X1
| iext(uri_owl_members,esk1_6(X6,X3,X5,X1,X4,X2),X6)
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_first,X4,X2)
| ~ iext(uri_rdf_rest,X5,X4)
| ~ iext(uri_rdf_first,X5,X1)
| ~ iext(uri_rdf_rest,X6,X5)
| ~ iext(uri_rdf_first,X6,X3) ),
inference(split_conjunct,[status(thm)],[35]) ).
cnf(37,plain,
( X1 = X2
| X3 = X2
| X3 = X1
| icext(uri_owl_AllDifferent,esk1_6(X6,X3,X5,X1,X4,X2))
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_first,X4,X2)
| ~ iext(uri_rdf_rest,X5,X4)
| ~ iext(uri_rdf_first,X5,X1)
| ~ iext(uri_rdf_rest,X6,X5)
| ~ iext(uri_rdf_first,X6,X3) ),
inference(split_conjunct,[status(thm)],[35]) ).
fof(57,plain,
! [X1,X2] :
( ( ~ iext(uri_owl_differentFrom,X1,X2)
| X1 != X2 )
& ( X1 = X2
| iext(uri_owl_differentFrom,X1,X2) ) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(58,plain,
! [X3,X4] :
( ( ~ iext(uri_owl_differentFrom,X3,X4)
| X3 != X4 )
& ( X3 = X4
| iext(uri_owl_differentFrom,X3,X4) ) ),
inference(variable_rename,[status(thm)],[57]) ).
cnf(60,plain,
( X1 != X2
| ~ iext(uri_owl_differentFrom,X1,X2) ),
inference(split_conjunct,[status(thm)],[58]) ).
fof(100,plain,
! [X1,X13] :
( ( ~ iext(uri_rdf_type,X1,X13)
| icext(X13,X1) )
& ( ~ icext(X13,X1)
| iext(uri_rdf_type,X1,X13) ) ),
inference(fof_nnf,[status(thm)],[20]) ).
fof(101,plain,
! [X14,X15] :
( ( ~ iext(uri_rdf_type,X14,X15)
| icext(X15,X14) )
& ( ~ icext(X15,X14)
| iext(uri_rdf_type,X14,X15) ) ),
inference(variable_rename,[status(thm)],[100]) ).
cnf(102,plain,
( iext(uri_rdf_type,X1,X2)
| ~ icext(X2,X1) ),
inference(split_conjunct,[status(thm)],[101]) ).
fof(106,plain,
? [X17,X18,X19] :
( iext(uri_owl_differentFrom,uri_ex_w1,uri_ex_w2)
& iext(uri_owl_differentFrom,uri_ex_w1,uri_ex_w3)
& iext(uri_rdf_first,X17,uri_ex_w3)
& iext(uri_rdf_rest,X17,uri_rdf_nil)
& iext(uri_owl_differentFrom,uri_ex_w2,uri_ex_w3)
& iext(uri_rdf_first,X19,uri_ex_w2)
& iext(uri_rdf_rest,X19,X17)
& iext(uri_rdf_first,X18,uri_ex_w1)
& iext(uri_rdf_rest,X18,X19) ),
inference(variable_rename,[status(thm)],[23]) ).
fof(107,plain,
( iext(uri_owl_differentFrom,uri_ex_w1,uri_ex_w2)
& iext(uri_owl_differentFrom,uri_ex_w1,uri_ex_w3)
& iext(uri_rdf_first,esk6_0,uri_ex_w3)
& iext(uri_rdf_rest,esk6_0,uri_rdf_nil)
& iext(uri_owl_differentFrom,uri_ex_w2,uri_ex_w3)
& iext(uri_rdf_first,esk8_0,uri_ex_w2)
& iext(uri_rdf_rest,esk8_0,esk6_0)
& iext(uri_rdf_first,esk7_0,uri_ex_w1)
& iext(uri_rdf_rest,esk7_0,esk8_0) ),
inference(skolemize,[status(esa)],[106]) ).
cnf(108,plain,
iext(uri_rdf_rest,esk7_0,esk8_0),
inference(split_conjunct,[status(thm)],[107]) ).
cnf(109,plain,
iext(uri_rdf_first,esk7_0,uri_ex_w1),
inference(split_conjunct,[status(thm)],[107]) ).
cnf(110,plain,
iext(uri_rdf_rest,esk8_0,esk6_0),
inference(split_conjunct,[status(thm)],[107]) ).
cnf(111,plain,
iext(uri_rdf_first,esk8_0,uri_ex_w2),
inference(split_conjunct,[status(thm)],[107]) ).
cnf(112,plain,
iext(uri_owl_differentFrom,uri_ex_w2,uri_ex_w3),
inference(split_conjunct,[status(thm)],[107]) ).
cnf(113,plain,
iext(uri_rdf_rest,esk6_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[107]) ).
cnf(114,plain,
iext(uri_rdf_first,esk6_0,uri_ex_w3),
inference(split_conjunct,[status(thm)],[107]) ).
cnf(115,plain,
iext(uri_owl_differentFrom,uri_ex_w1,uri_ex_w3),
inference(split_conjunct,[status(thm)],[107]) ).
cnf(116,plain,
iext(uri_owl_differentFrom,uri_ex_w1,uri_ex_w2),
inference(split_conjunct,[status(thm)],[107]) ).
fof(117,negated_conjecture,
! [X15,X14,X16,X17] :
( ~ iext(uri_rdf_first,X14,uri_ex_w1)
| ~ iext(uri_rdf_rest,X14,X16)
| ~ iext(uri_rdf_first,X16,uri_ex_w2)
| ~ iext(uri_rdf_rest,X16,X15)
| ~ iext(uri_rdf_type,X17,uri_owl_AllDifferent)
| ~ iext(uri_owl_members,X17,X14)
| ~ iext(uri_rdf_first,X15,uri_ex_w3)
| ~ iext(uri_rdf_rest,X15,uri_rdf_nil) ),
inference(fof_nnf,[status(thm)],[25]) ).
fof(118,negated_conjecture,
! [X18,X19,X20,X21] :
( ~ iext(uri_rdf_first,X19,uri_ex_w1)
| ~ iext(uri_rdf_rest,X19,X20)
| ~ iext(uri_rdf_first,X20,uri_ex_w2)
| ~ iext(uri_rdf_rest,X20,X18)
| ~ iext(uri_rdf_type,X21,uri_owl_AllDifferent)
| ~ iext(uri_owl_members,X21,X19)
| ~ iext(uri_rdf_first,X18,uri_ex_w3)
| ~ iext(uri_rdf_rest,X18,uri_rdf_nil) ),
inference(variable_rename,[status(thm)],[117]) ).
cnf(119,negated_conjecture,
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,uri_ex_w3)
| ~ iext(uri_owl_members,X2,X3)
| ~ iext(uri_rdf_type,X2,uri_owl_AllDifferent)
| ~ iext(uri_rdf_rest,X4,X1)
| ~ iext(uri_rdf_first,X4,uri_ex_w2)
| ~ iext(uri_rdf_rest,X3,X4)
| ~ iext(uri_rdf_first,X3,uri_ex_w1) ),
inference(split_conjunct,[status(thm)],[118]) ).
cnf(148,plain,
~ iext(uri_owl_differentFrom,X1,X1),
inference(er,[status(thm)],[60,theory(equality)]) ).
cnf(154,plain,
( X1 = X2
| X1 = X3
| X2 = X3
| iext(uri_owl_members,esk1_6(X4,X3,X5,X1,esk6_0,X2),X4)
| ~ iext(uri_rdf_first,X4,X3)
| ~ iext(uri_rdf_first,X5,X1)
| ~ iext(uri_rdf_first,esk6_0,X2)
| ~ iext(uri_rdf_rest,X4,X5)
| ~ iext(uri_rdf_rest,X5,esk6_0) ),
inference(spm,[status(thm)],[36,113,theory(equality)]) ).
cnf(155,negated_conjecture,
( ~ iext(uri_rdf_first,X1,uri_ex_w1)
| ~ iext(uri_rdf_first,X2,uri_ex_w3)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_type,X3,uri_owl_AllDifferent)
| ~ iext(uri_rdf_rest,esk8_0,X2)
| ~ iext(uri_rdf_rest,X1,esk8_0)
| ~ iext(uri_owl_members,X3,X1) ),
inference(spm,[status(thm)],[119,111,theory(equality)]) ).
fof(156,plain,
( ~ epred1_0
<=> ! [X3,X1] :
( ~ iext(uri_owl_members,X3,X1)
| ~ iext(uri_rdf_rest,X1,esk8_0)
| ~ iext(uri_rdf_type,X3,uri_owl_AllDifferent)
| ~ iext(uri_rdf_first,X1,uri_ex_w1) ) ),
introduced(definition),
[split] ).
cnf(157,plain,
( epred1_0
| ~ iext(uri_owl_members,X3,X1)
| ~ iext(uri_rdf_rest,X1,esk8_0)
| ~ iext(uri_rdf_type,X3,uri_owl_AllDifferent)
| ~ iext(uri_rdf_first,X1,uri_ex_w1) ),
inference(split_equiv,[status(thm)],[156]) ).
fof(158,plain,
( ~ epred2_0
<=> ! [X2] :
( ~ iext(uri_rdf_rest,esk8_0,X2)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_first,X2,uri_ex_w3) ) ),
introduced(definition),
[split] ).
cnf(159,plain,
( epred2_0
| ~ iext(uri_rdf_rest,esk8_0,X2)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_first,X2,uri_ex_w3) ),
inference(split_equiv,[status(thm)],[158]) ).
cnf(160,negated_conjecture,
( ~ epred2_0
| ~ epred1_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[155,156,theory(equality)]),158,theory(equality)]),
[split] ).
cnf(164,plain,
( X1 = X2
| X1 = X3
| X2 = X3
| icext(uri_owl_AllDifferent,esk1_6(X4,X3,X5,X1,esk6_0,X2))
| ~ iext(uri_rdf_first,X4,X3)
| ~ iext(uri_rdf_first,X5,X1)
| ~ iext(uri_rdf_first,esk6_0,X2)
| ~ iext(uri_rdf_rest,X4,X5)
| ~ iext(uri_rdf_rest,X5,esk6_0) ),
inference(spm,[status(thm)],[37,113,theory(equality)]) ).
cnf(171,negated_conjecture,
( epred2_0
| ~ iext(uri_rdf_rest,esk6_0,uri_rdf_nil)
| ~ iext(uri_rdf_first,esk6_0,uri_ex_w3) ),
inference(spm,[status(thm)],[159,110,theory(equality)]) ).
cnf(172,negated_conjecture,
( epred2_0
| $false
| ~ iext(uri_rdf_first,esk6_0,uri_ex_w3) ),
inference(rw,[status(thm)],[171,113,theory(equality)]) ).
cnf(173,negated_conjecture,
( epred2_0
| $false
| $false ),
inference(rw,[status(thm)],[172,114,theory(equality)]) ).
cnf(174,negated_conjecture,
epred2_0,
inference(cn,[status(thm)],[173,theory(equality)]) ).
cnf(176,negated_conjecture,
( $false
| ~ epred1_0 ),
inference(rw,[status(thm)],[160,174,theory(equality)]) ).
cnf(177,negated_conjecture,
~ epred1_0,
inference(cn,[status(thm)],[176,theory(equality)]) ).
cnf(182,negated_conjecture,
( ~ iext(uri_owl_members,X3,X1)
| ~ iext(uri_rdf_rest,X1,esk8_0)
| ~ iext(uri_rdf_type,X3,uri_owl_AllDifferent)
| ~ iext(uri_rdf_first,X1,uri_ex_w1) ),
inference(sr,[status(thm)],[157,177,theory(equality)]) ).
cnf(183,negated_conjecture,
( ~ iext(uri_rdf_type,X1,uri_owl_AllDifferent)
| ~ iext(uri_rdf_first,esk7_0,uri_ex_w1)
| ~ iext(uri_owl_members,X1,esk7_0) ),
inference(spm,[status(thm)],[182,108,theory(equality)]) ).
cnf(184,negated_conjecture,
( ~ iext(uri_rdf_type,X1,uri_owl_AllDifferent)
| $false
| ~ iext(uri_owl_members,X1,esk7_0) ),
inference(rw,[status(thm)],[183,109,theory(equality)]) ).
cnf(185,negated_conjecture,
( ~ iext(uri_rdf_type,X1,uri_owl_AllDifferent)
| ~ iext(uri_owl_members,X1,esk7_0) ),
inference(cn,[status(thm)],[184,theory(equality)]) ).
cnf(221,plain,
( uri_ex_w3 = X1
| X2 = X1
| X2 = uri_ex_w3
| iext(uri_owl_members,esk1_6(X3,X1,X4,X2,esk6_0,uri_ex_w3),X3)
| ~ iext(uri_rdf_rest,X4,esk6_0)
| ~ iext(uri_rdf_first,X3,X1)
| ~ iext(uri_rdf_first,X4,X2)
| ~ iext(uri_rdf_rest,X3,X4) ),
inference(spm,[status(thm)],[154,114,theory(equality)]) ).
cnf(263,plain,
( uri_ex_w3 = X1
| X2 = X1
| X2 = uri_ex_w3
| icext(uri_owl_AllDifferent,esk1_6(X3,X1,X4,X2,esk6_0,uri_ex_w3))
| ~ iext(uri_rdf_rest,X4,esk6_0)
| ~ iext(uri_rdf_first,X3,X1)
| ~ iext(uri_rdf_first,X4,X2)
| ~ iext(uri_rdf_rest,X3,X4) ),
inference(spm,[status(thm)],[164,114,theory(equality)]) ).
cnf(271,plain,
( X1 = uri_ex_w3
| uri_ex_w3 = X2
| X1 = X2
| iext(uri_owl_members,esk1_6(X3,X2,esk8_0,X1,esk6_0,uri_ex_w3),X3)
| ~ iext(uri_rdf_first,X3,X2)
| ~ iext(uri_rdf_first,esk8_0,X1)
| ~ iext(uri_rdf_rest,X3,esk8_0) ),
inference(spm,[status(thm)],[221,110,theory(equality)]) ).
cnf(272,plain,
( uri_ex_w3 = X1
| uri_ex_w2 = uri_ex_w3
| uri_ex_w2 = X1
| iext(uri_owl_members,esk1_6(X2,X1,esk8_0,uri_ex_w2,esk6_0,uri_ex_w3),X2)
| ~ iext(uri_rdf_rest,X2,esk8_0)
| ~ iext(uri_rdf_first,X2,X1) ),
inference(spm,[status(thm)],[271,111,theory(equality)]) ).
cnf(273,plain,
( uri_ex_w2 = uri_ex_w3
| uri_ex_w2 = X1
| uri_ex_w3 = X1
| iext(uri_owl_members,esk1_6(esk7_0,X1,esk8_0,uri_ex_w2,esk6_0,uri_ex_w3),esk7_0)
| ~ iext(uri_rdf_first,esk7_0,X1) ),
inference(spm,[status(thm)],[272,108,theory(equality)]) ).
cnf(291,plain,
( uri_ex_w2 = uri_ex_w3
| uri_ex_w3 = uri_ex_w1
| uri_ex_w2 = uri_ex_w1
| iext(uri_owl_members,esk1_6(esk7_0,uri_ex_w1,esk8_0,uri_ex_w2,esk6_0,uri_ex_w3),esk7_0) ),
inference(spm,[status(thm)],[273,109,theory(equality)]) ).
cnf(303,plain,
( X1 = uri_ex_w3
| uri_ex_w3 = X2
| X1 = X2
| icext(uri_owl_AllDifferent,esk1_6(X3,X2,esk8_0,X1,esk6_0,uri_ex_w3))
| ~ iext(uri_rdf_first,X3,X2)
| ~ iext(uri_rdf_first,esk8_0,X1)
| ~ iext(uri_rdf_rest,X3,esk8_0) ),
inference(spm,[status(thm)],[263,110,theory(equality)]) ).
cnf(310,plain,
( uri_ex_w3 = X1
| uri_ex_w2 = uri_ex_w3
| uri_ex_w2 = X1
| icext(uri_owl_AllDifferent,esk1_6(X2,X1,esk8_0,uri_ex_w2,esk6_0,uri_ex_w3))
| ~ iext(uri_rdf_rest,X2,esk8_0)
| ~ iext(uri_rdf_first,X2,X1) ),
inference(spm,[status(thm)],[303,111,theory(equality)]) ).
cnf(311,plain,
( uri_ex_w2 = uri_ex_w3
| uri_ex_w2 = X1
| uri_ex_w3 = X1
| icext(uri_owl_AllDifferent,esk1_6(esk7_0,X1,esk8_0,uri_ex_w2,esk6_0,uri_ex_w3))
| ~ iext(uri_rdf_first,esk7_0,X1) ),
inference(spm,[status(thm)],[310,108,theory(equality)]) ).
cnf(312,plain,
( uri_ex_w2 = uri_ex_w3
| uri_ex_w3 = uri_ex_w1
| uri_ex_w2 = uri_ex_w1
| icext(uri_owl_AllDifferent,esk1_6(esk7_0,uri_ex_w1,esk8_0,uri_ex_w2,esk6_0,uri_ex_w3)) ),
inference(spm,[status(thm)],[311,109,theory(equality)]) ).
cnf(313,plain,
( iext(uri_rdf_type,esk1_6(esk7_0,uri_ex_w1,esk8_0,uri_ex_w2,esk6_0,uri_ex_w3),uri_owl_AllDifferent)
| uri_ex_w2 = uri_ex_w1
| uri_ex_w1 = uri_ex_w3
| uri_ex_w2 = uri_ex_w3 ),
inference(spm,[status(thm)],[102,312,theory(equality)]) ).
cnf(320,negated_conjecture,
( uri_ex_w2 = uri_ex_w3
| uri_ex_w1 = uri_ex_w3
| uri_ex_w2 = uri_ex_w1
| ~ iext(uri_owl_members,esk1_6(esk7_0,uri_ex_w1,esk8_0,uri_ex_w2,esk6_0,uri_ex_w3),esk7_0) ),
inference(spm,[status(thm)],[185,313,theory(equality)]) ).
cnf(323,negated_conjecture,
( uri_ex_w2 = uri_ex_w3
| uri_ex_w1 = uri_ex_w3
| uri_ex_w2 = uri_ex_w1 ),
inference(csr,[status(thm)],[320,291]) ).
cnf(326,negated_conjecture,
( iext(uri_owl_differentFrom,uri_ex_w1,uri_ex_w1)
| uri_ex_w1 = uri_ex_w3
| uri_ex_w2 = uri_ex_w3 ),
inference(spm,[status(thm)],[116,323,theory(equality)]) ).
cnf(333,negated_conjecture,
( uri_ex_w1 = uri_ex_w3
| uri_ex_w2 = uri_ex_w3 ),
inference(sr,[status(thm)],[326,148,theory(equality)]) ).
cnf(337,negated_conjecture,
( iext(uri_owl_differentFrom,uri_ex_w3,uri_ex_w3)
| uri_ex_w1 = uri_ex_w3 ),
inference(spm,[status(thm)],[112,333,theory(equality)]) ).
cnf(340,negated_conjecture,
uri_ex_w1 = uri_ex_w3,
inference(sr,[status(thm)],[337,148,theory(equality)]) ).
cnf(341,plain,
iext(uri_owl_differentFrom,uri_ex_w3,uri_ex_w3),
inference(rw,[status(thm)],[115,340,theory(equality)]) ).
cnf(342,plain,
$false,
inference(sr,[status(thm)],[341,148,theory(equality)]) ).
cnf(343,plain,
$false,
342,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWB/SWB068+1.p
% --creating new selector for [SWB001+0.ax]
% -running prover on /tmp/tmpbOkRX3/sel_SWB068+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWB068+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWB/SWB068+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWB/SWB068+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
%
%------------------------------------------------------------------------------