TSTP Solution File: SWB029+3 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWB029+3 : TPTP v5.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art06.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 Feb 25 01:32:18 EST 2011
% Result : Theorem 2.83s
% Output : CNFRefutation 2.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 6
% Syntax : Number of formulae : 82 ( 16 unt; 0 def)
% Number of atoms : 444 ( 0 equ)
% Maximal formula atoms : 71 ( 5 avg)
% Number of connectives : 600 ( 238 ~; 246 |; 105 &)
% ( 7 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 16 con; 0-5 aty)
% Number of variables : 167 ( 10 sgn 82 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2] :
( iext(uri_owl_intersectionOf,X1,X2)
=> ( ic(X1)
& icext(uri_rdf_List,X2) ) ),
file('/tmp/tmp9m0nQm/sel_SWB029+3.p_1',owl_prop_intersectionof_ext) ).
fof(11,axiom,
! [X4] :
( iext(uri_owl_unionOf,X4,uri_rdf_nil)
<=> ( ic(X4)
& ! [X1] : ~ icext(X4,X1) ) ),
file('/tmp/tmp9m0nQm/sel_SWB029+3.p_1',owl_bool_unionof_class_000) ).
fof(17,axiom,
! [X4,X7] :
( iext(uri_owl_complementOf,X4,X7)
=> ( ic(X4)
& ic(X7)
& ! [X1] :
( icext(X4,X1)
<=> ~ icext(X7,X1) ) ) ),
file('/tmp/tmp9m0nQm/sel_SWB029+3.p_1',owl_bool_complementof_class) ).
fof(25,axiom,
! [X4,X5,X6,X8,X9] :
( ( iext(uri_rdf_first,X5,X6)
& iext(uri_rdf_rest,X5,X8)
& iext(uri_rdf_first,X8,X9)
& iext(uri_rdf_rest,X8,uri_rdf_nil) )
=> ( iext(uri_owl_intersectionOf,X4,X5)
<=> ( ic(X4)
& ic(X6)
& ic(X9)
& ! [X1] :
( icext(X4,X1)
<=> ( icext(X6,X1)
& icext(X9,X1) ) ) ) ) ),
file('/tmp/tmp9m0nQm/sel_SWB029+3.p_1',owl_bool_intersectionof_class_002) ).
fof(29,axiom,
! [X1,X7] :
( iext(uri_rdf_type,X1,X7)
<=> icext(X7,X1) ),
file('/tmp/tmp9m0nQm/sel_SWB029+3.p_1',rdfs_cext_def) ).
fof(45,axiom,
? [X14,X15,X16,X17] :
( iext(uri_rdf_type,uri_ex_A,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_B,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_w,X14)
& iext(uri_owl_intersectionOf,X14,X16)
& iext(uri_rdf_first,X16,uri_ex_A)
& iext(uri_rdf_rest,X16,X17)
& iext(uri_rdf_first,X17,X15)
& iext(uri_rdf_rest,X17,uri_rdf_nil)
& iext(uri_owl_complementOf,X15,uri_ex_A) ),
file('/tmp/tmp9m0nQm/sel_SWB029+3.p_1',testcase_premise_fullish_029_Ex_Falso_Quodlibet) ).
fof(47,plain,
! [X4] :
( iext(uri_owl_unionOf,X4,uri_rdf_nil)
<=> ( ic(X4)
& ! [X1] : ~ icext(X4,X1) ) ),
inference(fof_simplification,[status(thm)],[11,theory(equality)]) ).
fof(48,plain,
! [X4,X7] :
( iext(uri_owl_complementOf,X4,X7)
=> ( ic(X4)
& ic(X7)
& ! [X1] :
( icext(X4,X1)
<=> ~ icext(X7,X1) ) ) ),
inference(fof_simplification,[status(thm)],[17,theory(equality)]) ).
fof(50,plain,
! [X1,X2] :
( ~ iext(uri_owl_intersectionOf,X1,X2)
| ( ic(X1)
& icext(uri_rdf_List,X2) ) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(51,plain,
! [X3,X4] :
( ~ iext(uri_owl_intersectionOf,X3,X4)
| ( ic(X3)
& icext(uri_rdf_List,X4) ) ),
inference(variable_rename,[status(thm)],[50]) ).
fof(52,plain,
! [X3,X4] :
( ( ic(X3)
| ~ iext(uri_owl_intersectionOf,X3,X4) )
& ( icext(uri_rdf_List,X4)
| ~ iext(uri_owl_intersectionOf,X3,X4) ) ),
inference(distribute,[status(thm)],[51]) ).
cnf(54,plain,
( ic(X1)
| ~ iext(uri_owl_intersectionOf,X1,X2) ),
inference(split_conjunct,[status(thm)],[52]) ).
fof(97,plain,
! [X4] :
( ( ~ iext(uri_owl_unionOf,X4,uri_rdf_nil)
| ( ic(X4)
& ! [X1] : ~ icext(X4,X1) ) )
& ( ~ ic(X4)
| ? [X1] : icext(X4,X1)
| iext(uri_owl_unionOf,X4,uri_rdf_nil) ) ),
inference(fof_nnf,[status(thm)],[47]) ).
fof(98,plain,
! [X5] :
( ( ~ iext(uri_owl_unionOf,X5,uri_rdf_nil)
| ( ic(X5)
& ! [X6] : ~ icext(X5,X6) ) )
& ( ~ ic(X5)
| ? [X7] : icext(X5,X7)
| iext(uri_owl_unionOf,X5,uri_rdf_nil) ) ),
inference(variable_rename,[status(thm)],[97]) ).
fof(99,plain,
! [X5] :
( ( ~ iext(uri_owl_unionOf,X5,uri_rdf_nil)
| ( ic(X5)
& ! [X6] : ~ icext(X5,X6) ) )
& ( ~ ic(X5)
| icext(X5,esk4_1(X5))
| iext(uri_owl_unionOf,X5,uri_rdf_nil) ) ),
inference(skolemize,[status(esa)],[98]) ).
fof(100,plain,
! [X5,X6] :
( ( ( ~ icext(X5,X6)
& ic(X5) )
| ~ iext(uri_owl_unionOf,X5,uri_rdf_nil) )
& ( ~ ic(X5)
| icext(X5,esk4_1(X5))
| iext(uri_owl_unionOf,X5,uri_rdf_nil) ) ),
inference(shift_quantors,[status(thm)],[99]) ).
fof(101,plain,
! [X5,X6] :
( ( ~ icext(X5,X6)
| ~ iext(uri_owl_unionOf,X5,uri_rdf_nil) )
& ( ic(X5)
| ~ iext(uri_owl_unionOf,X5,uri_rdf_nil) )
& ( ~ ic(X5)
| icext(X5,esk4_1(X5))
| iext(uri_owl_unionOf,X5,uri_rdf_nil) ) ),
inference(distribute,[status(thm)],[100]) ).
cnf(102,plain,
( iext(uri_owl_unionOf,X1,uri_rdf_nil)
| icext(X1,esk4_1(X1))
| ~ ic(X1) ),
inference(split_conjunct,[status(thm)],[101]) ).
cnf(104,plain,
( ~ iext(uri_owl_unionOf,X1,uri_rdf_nil)
| ~ icext(X1,X2) ),
inference(split_conjunct,[status(thm)],[101]) ).
fof(130,plain,
! [X4,X7] :
( ~ iext(uri_owl_complementOf,X4,X7)
| ( ic(X4)
& ic(X7)
& ! [X1] :
( ( ~ icext(X4,X1)
| ~ icext(X7,X1) )
& ( icext(X7,X1)
| icext(X4,X1) ) ) ) ),
inference(fof_nnf,[status(thm)],[48]) ).
fof(131,plain,
! [X8,X9] :
( ~ iext(uri_owl_complementOf,X8,X9)
| ( ic(X8)
& ic(X9)
& ! [X10] :
( ( ~ icext(X8,X10)
| ~ icext(X9,X10) )
& ( icext(X9,X10)
| icext(X8,X10) ) ) ) ),
inference(variable_rename,[status(thm)],[130]) ).
fof(132,plain,
! [X8,X9,X10] :
( ( ( ~ icext(X8,X10)
| ~ icext(X9,X10) )
& ( icext(X9,X10)
| icext(X8,X10) )
& ic(X8)
& ic(X9) )
| ~ iext(uri_owl_complementOf,X8,X9) ),
inference(shift_quantors,[status(thm)],[131]) ).
fof(133,plain,
! [X8,X9,X10] :
( ( ~ icext(X8,X10)
| ~ icext(X9,X10)
| ~ iext(uri_owl_complementOf,X8,X9) )
& ( icext(X9,X10)
| icext(X8,X10)
| ~ iext(uri_owl_complementOf,X8,X9) )
& ( ic(X8)
| ~ iext(uri_owl_complementOf,X8,X9) )
& ( ic(X9)
| ~ iext(uri_owl_complementOf,X8,X9) ) ),
inference(distribute,[status(thm)],[132]) ).
cnf(136,plain,
( icext(X1,X3)
| icext(X2,X3)
| ~ iext(uri_owl_complementOf,X1,X2) ),
inference(split_conjunct,[status(thm)],[133]) ).
cnf(137,plain,
( ~ iext(uri_owl_complementOf,X1,X2)
| ~ icext(X2,X3)
| ~ icext(X1,X3) ),
inference(split_conjunct,[status(thm)],[133]) ).
fof(182,plain,
! [X4,X5,X6,X8,X9] :
( ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_rdf_rest,X5,X8)
| ~ iext(uri_rdf_first,X8,X9)
| ~ iext(uri_rdf_rest,X8,uri_rdf_nil)
| ( ( ~ iext(uri_owl_intersectionOf,X4,X5)
| ( ic(X4)
& ic(X6)
& ic(X9)
& ! [X1] :
( ( ~ icext(X4,X1)
| ( icext(X6,X1)
& icext(X9,X1) ) )
& ( ~ icext(X6,X1)
| ~ icext(X9,X1)
| icext(X4,X1) ) ) ) )
& ( ~ ic(X4)
| ~ ic(X6)
| ~ ic(X9)
| ? [X1] :
( ( ~ icext(X4,X1)
| ~ icext(X6,X1)
| ~ icext(X9,X1) )
& ( icext(X4,X1)
| ( icext(X6,X1)
& icext(X9,X1) ) ) )
| iext(uri_owl_intersectionOf,X4,X5) ) ) ),
inference(fof_nnf,[status(thm)],[25]) ).
fof(183,plain,
! [X10,X11,X12,X13,X14] :
( ~ iext(uri_rdf_first,X11,X12)
| ~ iext(uri_rdf_rest,X11,X13)
| ~ iext(uri_rdf_first,X13,X14)
| ~ iext(uri_rdf_rest,X13,uri_rdf_nil)
| ( ( ~ iext(uri_owl_intersectionOf,X10,X11)
| ( ic(X10)
& ic(X12)
& ic(X14)
& ! [X15] :
( ( ~ icext(X10,X15)
| ( icext(X12,X15)
& icext(X14,X15) ) )
& ( ~ icext(X12,X15)
| ~ icext(X14,X15)
| icext(X10,X15) ) ) ) )
& ( ~ ic(X10)
| ~ ic(X12)
| ~ ic(X14)
| ? [X16] :
( ( ~ icext(X10,X16)
| ~ icext(X12,X16)
| ~ icext(X14,X16) )
& ( icext(X10,X16)
| ( icext(X12,X16)
& icext(X14,X16) ) ) )
| iext(uri_owl_intersectionOf,X10,X11) ) ) ),
inference(variable_rename,[status(thm)],[182]) ).
fof(184,plain,
! [X10,X11,X12,X13,X14] :
( ~ iext(uri_rdf_first,X11,X12)
| ~ iext(uri_rdf_rest,X11,X13)
| ~ iext(uri_rdf_first,X13,X14)
| ~ iext(uri_rdf_rest,X13,uri_rdf_nil)
| ( ( ~ iext(uri_owl_intersectionOf,X10,X11)
| ( ic(X10)
& ic(X12)
& ic(X14)
& ! [X15] :
( ( ~ icext(X10,X15)
| ( icext(X12,X15)
& icext(X14,X15) ) )
& ( ~ icext(X12,X15)
| ~ icext(X14,X15)
| icext(X10,X15) ) ) ) )
& ( ~ ic(X10)
| ~ ic(X12)
| ~ ic(X14)
| ( ( ~ icext(X10,esk10_5(X10,X11,X12,X13,X14))
| ~ icext(X12,esk10_5(X10,X11,X12,X13,X14))
| ~ icext(X14,esk10_5(X10,X11,X12,X13,X14)) )
& ( icext(X10,esk10_5(X10,X11,X12,X13,X14))
| ( icext(X12,esk10_5(X10,X11,X12,X13,X14))
& icext(X14,esk10_5(X10,X11,X12,X13,X14)) ) ) )
| iext(uri_owl_intersectionOf,X10,X11) ) ) ),
inference(skolemize,[status(esa)],[183]) ).
fof(185,plain,
! [X10,X11,X12,X13,X14,X15] :
( ( ( ( ( ~ icext(X10,X15)
| ( icext(X12,X15)
& icext(X14,X15) ) )
& ( ~ icext(X12,X15)
| ~ icext(X14,X15)
| icext(X10,X15) )
& ic(X10)
& ic(X12)
& ic(X14) )
| ~ iext(uri_owl_intersectionOf,X10,X11) )
& ( ~ ic(X10)
| ~ ic(X12)
| ~ ic(X14)
| ( ( ~ icext(X10,esk10_5(X10,X11,X12,X13,X14))
| ~ icext(X12,esk10_5(X10,X11,X12,X13,X14))
| ~ icext(X14,esk10_5(X10,X11,X12,X13,X14)) )
& ( icext(X10,esk10_5(X10,X11,X12,X13,X14))
| ( icext(X12,esk10_5(X10,X11,X12,X13,X14))
& icext(X14,esk10_5(X10,X11,X12,X13,X14)) ) ) )
| iext(uri_owl_intersectionOf,X10,X11) ) )
| ~ iext(uri_rdf_first,X11,X12)
| ~ iext(uri_rdf_rest,X11,X13)
| ~ iext(uri_rdf_first,X13,X14)
| ~ iext(uri_rdf_rest,X13,uri_rdf_nil) ),
inference(shift_quantors,[status(thm)],[184]) ).
fof(186,plain,
! [X10,X11,X12,X13,X14,X15] :
( ( icext(X12,X15)
| ~ icext(X10,X15)
| ~ iext(uri_owl_intersectionOf,X10,X11)
| ~ iext(uri_rdf_first,X11,X12)
| ~ iext(uri_rdf_rest,X11,X13)
| ~ iext(uri_rdf_first,X13,X14)
| ~ iext(uri_rdf_rest,X13,uri_rdf_nil) )
& ( icext(X14,X15)
| ~ icext(X10,X15)
| ~ iext(uri_owl_intersectionOf,X10,X11)
| ~ iext(uri_rdf_first,X11,X12)
| ~ iext(uri_rdf_rest,X11,X13)
| ~ iext(uri_rdf_first,X13,X14)
| ~ iext(uri_rdf_rest,X13,uri_rdf_nil) )
& ( ~ icext(X12,X15)
| ~ icext(X14,X15)
| icext(X10,X15)
| ~ iext(uri_owl_intersectionOf,X10,X11)
| ~ iext(uri_rdf_first,X11,X12)
| ~ iext(uri_rdf_rest,X11,X13)
| ~ iext(uri_rdf_first,X13,X14)
| ~ iext(uri_rdf_rest,X13,uri_rdf_nil) )
& ( ic(X10)
| ~ iext(uri_owl_intersectionOf,X10,X11)
| ~ iext(uri_rdf_first,X11,X12)
| ~ iext(uri_rdf_rest,X11,X13)
| ~ iext(uri_rdf_first,X13,X14)
| ~ iext(uri_rdf_rest,X13,uri_rdf_nil) )
& ( ic(X12)
| ~ iext(uri_owl_intersectionOf,X10,X11)
| ~ iext(uri_rdf_first,X11,X12)
| ~ iext(uri_rdf_rest,X11,X13)
| ~ iext(uri_rdf_first,X13,X14)
| ~ iext(uri_rdf_rest,X13,uri_rdf_nil) )
& ( ic(X14)
| ~ iext(uri_owl_intersectionOf,X10,X11)
| ~ iext(uri_rdf_first,X11,X12)
| ~ iext(uri_rdf_rest,X11,X13)
| ~ iext(uri_rdf_first,X13,X14)
| ~ iext(uri_rdf_rest,X13,uri_rdf_nil) )
& ( ~ icext(X10,esk10_5(X10,X11,X12,X13,X14))
| ~ icext(X12,esk10_5(X10,X11,X12,X13,X14))
| ~ icext(X14,esk10_5(X10,X11,X12,X13,X14))
| ~ ic(X10)
| ~ ic(X12)
| ~ ic(X14)
| iext(uri_owl_intersectionOf,X10,X11)
| ~ iext(uri_rdf_first,X11,X12)
| ~ iext(uri_rdf_rest,X11,X13)
| ~ iext(uri_rdf_first,X13,X14)
| ~ iext(uri_rdf_rest,X13,uri_rdf_nil) )
& ( icext(X12,esk10_5(X10,X11,X12,X13,X14))
| icext(X10,esk10_5(X10,X11,X12,X13,X14))
| ~ ic(X10)
| ~ ic(X12)
| ~ ic(X14)
| iext(uri_owl_intersectionOf,X10,X11)
| ~ iext(uri_rdf_first,X11,X12)
| ~ iext(uri_rdf_rest,X11,X13)
| ~ iext(uri_rdf_first,X13,X14)
| ~ iext(uri_rdf_rest,X13,uri_rdf_nil) )
& ( icext(X14,esk10_5(X10,X11,X12,X13,X14))
| icext(X10,esk10_5(X10,X11,X12,X13,X14))
| ~ ic(X10)
| ~ ic(X12)
| ~ ic(X14)
| iext(uri_owl_intersectionOf,X10,X11)
| ~ iext(uri_rdf_first,X11,X12)
| ~ iext(uri_rdf_rest,X11,X13)
| ~ iext(uri_rdf_first,X13,X14)
| ~ iext(uri_rdf_rest,X13,uri_rdf_nil) ) ),
inference(distribute,[status(thm)],[185]) ).
cnf(194,plain,
( icext(X2,X6)
| ~ 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_intersectionOf,X5,X3)
| ~ icext(X5,X6) ),
inference(split_conjunct,[status(thm)],[186]) ).
cnf(195,plain,
( icext(X4,X6)
| ~ 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_intersectionOf,X5,X3)
| ~ icext(X5,X6) ),
inference(split_conjunct,[status(thm)],[186]) ).
fof(202,plain,
! [X1,X7] :
( ( ~ iext(uri_rdf_type,X1,X7)
| icext(X7,X1) )
& ( ~ icext(X7,X1)
| iext(uri_rdf_type,X1,X7) ) ),
inference(fof_nnf,[status(thm)],[29]) ).
fof(203,plain,
! [X8,X9] :
( ( ~ iext(uri_rdf_type,X8,X9)
| icext(X9,X8) )
& ( ~ icext(X9,X8)
| iext(uri_rdf_type,X8,X9) ) ),
inference(variable_rename,[status(thm)],[202]) ).
cnf(204,plain,
( iext(uri_rdf_type,X1,X2)
| ~ icext(X2,X1) ),
inference(split_conjunct,[status(thm)],[203]) ).
cnf(205,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_type,X2,X1) ),
inference(split_conjunct,[status(thm)],[203]) ).
fof(261,plain,
? [X18,X19,X20,X21] :
( iext(uri_rdf_type,uri_ex_A,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_B,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_w,X18)
& iext(uri_owl_intersectionOf,X18,X20)
& iext(uri_rdf_first,X20,uri_ex_A)
& iext(uri_rdf_rest,X20,X21)
& iext(uri_rdf_first,X21,X19)
& iext(uri_rdf_rest,X21,uri_rdf_nil)
& iext(uri_owl_complementOf,X19,uri_ex_A) ),
inference(variable_rename,[status(thm)],[45]) ).
fof(262,plain,
( iext(uri_rdf_type,uri_ex_A,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_B,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_w,esk14_0)
& iext(uri_owl_intersectionOf,esk14_0,esk16_0)
& iext(uri_rdf_first,esk16_0,uri_ex_A)
& iext(uri_rdf_rest,esk16_0,esk17_0)
& iext(uri_rdf_first,esk17_0,esk15_0)
& iext(uri_rdf_rest,esk17_0,uri_rdf_nil)
& iext(uri_owl_complementOf,esk15_0,uri_ex_A) ),
inference(skolemize,[status(esa)],[261]) ).
cnf(263,plain,
iext(uri_owl_complementOf,esk15_0,uri_ex_A),
inference(split_conjunct,[status(thm)],[262]) ).
cnf(264,plain,
iext(uri_rdf_rest,esk17_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[262]) ).
cnf(265,plain,
iext(uri_rdf_first,esk17_0,esk15_0),
inference(split_conjunct,[status(thm)],[262]) ).
cnf(266,plain,
iext(uri_rdf_rest,esk16_0,esk17_0),
inference(split_conjunct,[status(thm)],[262]) ).
cnf(267,plain,
iext(uri_rdf_first,esk16_0,uri_ex_A),
inference(split_conjunct,[status(thm)],[262]) ).
cnf(268,plain,
iext(uri_owl_intersectionOf,esk14_0,esk16_0),
inference(split_conjunct,[status(thm)],[262]) ).
cnf(269,plain,
iext(uri_rdf_type,uri_ex_w,esk14_0),
inference(split_conjunct,[status(thm)],[262]) ).
cnf(323,plain,
ic(esk14_0),
inference(spm,[status(thm)],[54,268,theory(equality)]) ).
cnf(348,plain,
( ~ iext(uri_owl_unionOf,X1,uri_rdf_nil)
| ~ iext(uri_rdf_type,X2,X1) ),
inference(spm,[status(thm)],[104,205,theory(equality)]) ).
cnf(353,plain,
( icext(esk15_0,X1)
| icext(uri_ex_A,X1) ),
inference(spm,[status(thm)],[136,263,theory(equality)]) ).
cnf(354,plain,
( ~ icext(uri_ex_A,X1)
| ~ icext(esk15_0,X1) ),
inference(spm,[status(thm)],[137,263,theory(equality)]) ).
cnf(480,plain,
( icext(X1,X2)
| ~ icext(X3,X2)
| ~ iext(uri_owl_intersectionOf,X3,X4)
| ~ iext(uri_rdf_first,X4,X1)
| ~ iext(uri_rdf_first,esk17_0,X5)
| ~ iext(uri_rdf_rest,X4,esk17_0) ),
inference(spm,[status(thm)],[195,264,theory(equality)]) ).
cnf(481,plain,
( icext(X1,X2)
| ~ icext(X3,X2)
| ~ iext(uri_owl_intersectionOf,X3,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_first,esk17_0,X1)
| ~ iext(uri_rdf_rest,X4,esk17_0) ),
inference(spm,[status(thm)],[194,264,theory(equality)]) ).
cnf(549,plain,
~ iext(uri_owl_unionOf,esk14_0,uri_rdf_nil),
inference(spm,[status(thm)],[348,269,theory(equality)]) ).
cnf(573,plain,
( ~ icext(uri_ex_A,X1)
| ~ iext(uri_rdf_type,X1,esk15_0) ),
inference(spm,[status(thm)],[354,205,theory(equality)]) ).
cnf(754,plain,
( iext(uri_rdf_type,X1,esk15_0)
| icext(uri_ex_A,X1) ),
inference(spm,[status(thm)],[204,353,theory(equality)]) ).
cnf(791,plain,
( iext(uri_rdf_type,X1,uri_ex_A)
| iext(uri_rdf_type,X1,esk15_0) ),
inference(spm,[status(thm)],[204,754,theory(equality)]) ).
cnf(3085,plain,
( icext(X1,X2)
| ~ icext(X3,X2)
| ~ iext(uri_rdf_rest,X4,esk17_0)
| ~ iext(uri_owl_intersectionOf,X3,X4)
| ~ iext(uri_rdf_first,X4,X1) ),
inference(spm,[status(thm)],[480,265,theory(equality)]) ).
cnf(3111,plain,
( icext(X1,X2)
| ~ icext(esk14_0,X2)
| ~ iext(uri_rdf_first,esk17_0,X1)
| ~ iext(uri_rdf_rest,esk16_0,esk17_0)
| ~ iext(uri_rdf_first,esk16_0,X3) ),
inference(spm,[status(thm)],[481,268,theory(equality)]) ).
cnf(3115,plain,
( icext(X1,X2)
| ~ icext(esk14_0,X2)
| ~ iext(uri_rdf_first,esk17_0,X1)
| $false
| ~ iext(uri_rdf_first,esk16_0,X3) ),
inference(rw,[status(thm)],[3111,266,theory(equality)]) ).
cnf(3116,plain,
( icext(X1,X2)
| ~ icext(esk14_0,X2)
| ~ iext(uri_rdf_first,esk17_0,X1)
| ~ iext(uri_rdf_first,esk16_0,X3) ),
inference(cn,[status(thm)],[3115,theory(equality)]) ).
cnf(24611,plain,
( icext(X1,X2)
| ~ icext(esk14_0,X2)
| ~ iext(uri_rdf_rest,esk16_0,esk17_0)
| ~ iext(uri_rdf_first,esk16_0,X1) ),
inference(spm,[status(thm)],[3085,268,theory(equality)]) ).
cnf(24624,plain,
( icext(X1,X2)
| ~ icext(esk14_0,X2)
| $false
| ~ iext(uri_rdf_first,esk16_0,X1) ),
inference(rw,[status(thm)],[24611,266,theory(equality)]) ).
cnf(24625,plain,
( icext(X1,X2)
| ~ icext(esk14_0,X2)
| ~ iext(uri_rdf_first,esk16_0,X1) ),
inference(cn,[status(thm)],[24624,theory(equality)]) ).
cnf(24654,plain,
( icext(X1,X2)
| ~ icext(esk14_0,X2)
| ~ iext(uri_rdf_first,esk17_0,X1) ),
inference(spm,[status(thm)],[3116,267,theory(equality)]) ).
cnf(25860,plain,
( icext(X1,esk4_1(esk14_0))
| iext(uri_owl_unionOf,esk14_0,uri_rdf_nil)
| ~ iext(uri_rdf_first,esk16_0,X1)
| ~ ic(esk14_0) ),
inference(spm,[status(thm)],[24625,102,theory(equality)]) ).
cnf(25936,plain,
( icext(X1,esk4_1(esk14_0))
| iext(uri_owl_unionOf,esk14_0,uri_rdf_nil)
| ~ iext(uri_rdf_first,esk16_0,X1)
| $false ),
inference(rw,[status(thm)],[25860,323,theory(equality)]) ).
cnf(25937,plain,
( icext(X1,esk4_1(esk14_0))
| iext(uri_owl_unionOf,esk14_0,uri_rdf_nil)
| ~ iext(uri_rdf_first,esk16_0,X1) ),
inference(cn,[status(thm)],[25936,theory(equality)]) ).
cnf(25938,plain,
( icext(X1,esk4_1(esk14_0))
| ~ iext(uri_rdf_first,esk16_0,X1) ),
inference(sr,[status(thm)],[25937,549,theory(equality)]) ).
cnf(25943,plain,
( ~ iext(uri_rdf_type,esk4_1(esk14_0),esk15_0)
| ~ iext(uri_rdf_first,esk16_0,uri_ex_A) ),
inference(spm,[status(thm)],[573,25938,theory(equality)]) ).
cnf(25963,plain,
( ~ iext(uri_rdf_type,esk4_1(esk14_0),esk15_0)
| $false ),
inference(rw,[status(thm)],[25943,267,theory(equality)]) ).
cnf(25964,plain,
~ iext(uri_rdf_type,esk4_1(esk14_0),esk15_0),
inference(cn,[status(thm)],[25963,theory(equality)]) ).
cnf(26161,plain,
iext(uri_rdf_type,esk4_1(esk14_0),uri_ex_A),
inference(spm,[status(thm)],[25964,791,theory(equality)]) ).
cnf(27562,plain,
( icext(X1,esk4_1(esk14_0))
| iext(uri_owl_unionOf,esk14_0,uri_rdf_nil)
| ~ iext(uri_rdf_first,esk17_0,X1)
| ~ ic(esk14_0) ),
inference(spm,[status(thm)],[24654,102,theory(equality)]) ).
cnf(27638,plain,
( icext(X1,esk4_1(esk14_0))
| iext(uri_owl_unionOf,esk14_0,uri_rdf_nil)
| ~ iext(uri_rdf_first,esk17_0,X1)
| $false ),
inference(rw,[status(thm)],[27562,323,theory(equality)]) ).
cnf(27639,plain,
( icext(X1,esk4_1(esk14_0))
| iext(uri_owl_unionOf,esk14_0,uri_rdf_nil)
| ~ iext(uri_rdf_first,esk17_0,X1) ),
inference(cn,[status(thm)],[27638,theory(equality)]) ).
cnf(27640,plain,
( icext(X1,esk4_1(esk14_0))
| ~ iext(uri_rdf_first,esk17_0,X1) ),
inference(sr,[status(thm)],[27639,549,theory(equality)]) ).
cnf(28008,plain,
( ~ icext(uri_ex_A,esk4_1(esk14_0))
| ~ iext(uri_rdf_first,esk17_0,esk15_0) ),
inference(spm,[status(thm)],[354,27640,theory(equality)]) ).
cnf(28030,plain,
( ~ icext(uri_ex_A,esk4_1(esk14_0))
| $false ),
inference(rw,[status(thm)],[28008,265,theory(equality)]) ).
cnf(28031,plain,
~ icext(uri_ex_A,esk4_1(esk14_0)),
inference(cn,[status(thm)],[28030,theory(equality)]) ).
cnf(28035,plain,
~ iext(uri_rdf_type,esk4_1(esk14_0),uri_ex_A),
inference(spm,[status(thm)],[28031,205,theory(equality)]) ).
cnf(28056,plain,
$false,
inference(rw,[status(thm)],[28035,26161,theory(equality)]) ).
cnf(28057,plain,
$false,
inference(cn,[status(thm)],[28056,theory(equality)]) ).
cnf(28058,plain,
$false,
28057,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWB/SWB029+3.p
% --creating new selector for [SWB002+0.ax]
% -running prover on /tmp/tmp9m0nQm/sel_SWB029+3.p_1 with time limit 29
% -prover status Theorem
% Problem SWB029+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWB/SWB029+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWB/SWB029+3.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
%
%------------------------------------------------------------------------------