%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : PRO009+2 : TPTP v5.0.0. Released v4.0.0.
% 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 : Sun Dec 26 00:35:55 EST 2010
% Result : Theorem 0.77s
% Output : CNFRefutation 0.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 4
% Syntax : Number of formulae : 57 ( 6 unt; 0 def)
% Number of atoms : 249 ( 0 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 329 ( 137 ~; 121 |; 66 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-3 aty)
% Number of variables : 96 ( 0 sgn 52 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(3,axiom,
! [X8,X9,X10,X11] :
( ( min_precedes(X8,X9,X11)
& min_precedes(X9,X10,X11) )
=> min_precedes(X8,X10,X11) ),
file('/tmp/tmpmftkJ4/sel_PRO009+2.p_1',sos) ).
fof(22,axiom,
! [X56,X57,X58] :
( next_subocc(X56,X57,X58)
<=> ( min_precedes(X56,X57,X58)
& ~ ? [X59] :
( min_precedes(X56,X59,X58)
& min_precedes(X59,X57,X58) ) ) ),
file('/tmp/tmpmftkJ4/sel_PRO009+2.p_1',sos_04) ).
fof(26,axiom,
! [X63] :
( occurrence_of(X63,tptp0)
=> ? [X64,X65,X66] :
( occurrence_of(X64,tptp3)
& root_occ(X64,X63)
& occurrence_of(X65,tptp4)
& next_subocc(X64,X65,tptp0)
& ( occurrence_of(X66,tptp2)
| occurrence_of(X66,tptp1) )
& next_subocc(X65,X66,tptp0)
& leaf_occ(X66,X63) ) ),
file('/tmp/tmpmftkJ4/sel_PRO009+2.p_1',sos_32) ).
fof(46,conjecture,
! [X100] :
( occurrence_of(X100,tptp0)
=> ? [X101,X102] :
( occurrence_of(X101,tptp3)
& root_occ(X101,X100)
& ( occurrence_of(X102,tptp2)
| occurrence_of(X102,tptp1) )
& min_precedes(X101,X102,tptp0)
& leaf_occ(X102,X100) ) ),
file('/tmp/tmpmftkJ4/sel_PRO009+2.p_1',goals) ).
fof(47,negated_conjecture,
~ ! [X100] :
( occurrence_of(X100,tptp0)
=> ? [X101,X102] :
( occurrence_of(X101,tptp3)
& root_occ(X101,X100)
& ( occurrence_of(X102,tptp2)
| occurrence_of(X102,tptp1) )
& min_precedes(X101,X102,tptp0)
& leaf_occ(X102,X100) ) ),
inference(assume_negation,[status(cth)],[46]) ).
fof(68,plain,
! [X8,X9,X10,X11] :
( ~ min_precedes(X8,X9,X11)
| ~ min_precedes(X9,X10,X11)
| min_precedes(X8,X10,X11) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(69,plain,
! [X12,X13,X14,X15] :
( ~ min_precedes(X12,X13,X15)
| ~ min_precedes(X13,X14,X15)
| min_precedes(X12,X14,X15) ),
inference(variable_rename,[status(thm)],[68]) ).
cnf(70,plain,
( min_precedes(X1,X2,X3)
| ~ min_precedes(X4,X2,X3)
| ~ min_precedes(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[69]) ).
fof(130,plain,
! [X56,X57,X58] :
( ( ~ next_subocc(X56,X57,X58)
| ( min_precedes(X56,X57,X58)
& ! [X59] :
( ~ min_precedes(X56,X59,X58)
| ~ min_precedes(X59,X57,X58) ) ) )
& ( ~ min_precedes(X56,X57,X58)
| ? [X59] :
( min_precedes(X56,X59,X58)
& min_precedes(X59,X57,X58) )
| next_subocc(X56,X57,X58) ) ),
inference(fof_nnf,[status(thm)],[22]) ).
fof(131,plain,
! [X60,X61,X62] :
( ( ~ next_subocc(X60,X61,X62)
| ( min_precedes(X60,X61,X62)
& ! [X63] :
( ~ min_precedes(X60,X63,X62)
| ~ min_precedes(X63,X61,X62) ) ) )
& ( ~ min_precedes(X60,X61,X62)
| ? [X64] :
( min_precedes(X60,X64,X62)
& min_precedes(X64,X61,X62) )
| next_subocc(X60,X61,X62) ) ),
inference(variable_rename,[status(thm)],[130]) ).
fof(132,plain,
! [X60,X61,X62] :
( ( ~ next_subocc(X60,X61,X62)
| ( min_precedes(X60,X61,X62)
& ! [X63] :
( ~ min_precedes(X60,X63,X62)
| ~ min_precedes(X63,X61,X62) ) ) )
& ( ~ min_precedes(X60,X61,X62)
| ( min_precedes(X60,esk5_3(X60,X61,X62),X62)
& min_precedes(esk5_3(X60,X61,X62),X61,X62) )
| next_subocc(X60,X61,X62) ) ),
inference(skolemize,[status(esa)],[131]) ).
fof(133,plain,
! [X60,X61,X62,X63] :
( ( ( ( ~ min_precedes(X60,X63,X62)
| ~ min_precedes(X63,X61,X62) )
& min_precedes(X60,X61,X62) )
| ~ next_subocc(X60,X61,X62) )
& ( ~ min_precedes(X60,X61,X62)
| ( min_precedes(X60,esk5_3(X60,X61,X62),X62)
& min_precedes(esk5_3(X60,X61,X62),X61,X62) )
| next_subocc(X60,X61,X62) ) ),
inference(shift_quantors,[status(thm)],[132]) ).
fof(134,plain,
! [X60,X61,X62,X63] :
( ( ~ min_precedes(X60,X63,X62)
| ~ min_precedes(X63,X61,X62)
| ~ next_subocc(X60,X61,X62) )
& ( min_precedes(X60,X61,X62)
| ~ next_subocc(X60,X61,X62) )
& ( min_precedes(X60,esk5_3(X60,X61,X62),X62)
| ~ min_precedes(X60,X61,X62)
| next_subocc(X60,X61,X62) )
& ( min_precedes(esk5_3(X60,X61,X62),X61,X62)
| ~ min_precedes(X60,X61,X62)
| next_subocc(X60,X61,X62) ) ),
inference(distribute,[status(thm)],[133]) ).
cnf(137,plain,
( min_precedes(X1,X2,X3)
| ~ next_subocc(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[134]) ).
fof(146,plain,
! [X63] :
( ~ occurrence_of(X63,tptp0)
| ? [X64,X65,X66] :
( occurrence_of(X64,tptp3)
& root_occ(X64,X63)
& occurrence_of(X65,tptp4)
& next_subocc(X64,X65,tptp0)
& ( occurrence_of(X66,tptp2)
| occurrence_of(X66,tptp1) )
& next_subocc(X65,X66,tptp0)
& leaf_occ(X66,X63) ) ),
inference(fof_nnf,[status(thm)],[26]) ).
fof(147,plain,
! [X67] :
( ~ occurrence_of(X67,tptp0)
| ? [X68,X69,X70] :
( occurrence_of(X68,tptp3)
& root_occ(X68,X67)
& occurrence_of(X69,tptp4)
& next_subocc(X68,X69,tptp0)
& ( occurrence_of(X70,tptp2)
| occurrence_of(X70,tptp1) )
& next_subocc(X69,X70,tptp0)
& leaf_occ(X70,X67) ) ),
inference(variable_rename,[status(thm)],[146]) ).
fof(148,plain,
! [X67] :
( ~ occurrence_of(X67,tptp0)
| ( occurrence_of(esk6_1(X67),tptp3)
& root_occ(esk6_1(X67),X67)
& occurrence_of(esk7_1(X67),tptp4)
& next_subocc(esk6_1(X67),esk7_1(X67),tptp0)
& ( occurrence_of(esk8_1(X67),tptp2)
| occurrence_of(esk8_1(X67),tptp1) )
& next_subocc(esk7_1(X67),esk8_1(X67),tptp0)
& leaf_occ(esk8_1(X67),X67) ) ),
inference(skolemize,[status(esa)],[147]) ).
fof(149,plain,
! [X67] :
( ( occurrence_of(esk6_1(X67),tptp3)
| ~ occurrence_of(X67,tptp0) )
& ( root_occ(esk6_1(X67),X67)
| ~ occurrence_of(X67,tptp0) )
& ( occurrence_of(esk7_1(X67),tptp4)
| ~ occurrence_of(X67,tptp0) )
& ( next_subocc(esk6_1(X67),esk7_1(X67),tptp0)
| ~ occurrence_of(X67,tptp0) )
& ( occurrence_of(esk8_1(X67),tptp2)
| occurrence_of(esk8_1(X67),tptp1)
| ~ occurrence_of(X67,tptp0) )
& ( next_subocc(esk7_1(X67),esk8_1(X67),tptp0)
| ~ occurrence_of(X67,tptp0) )
& ( leaf_occ(esk8_1(X67),X67)
| ~ occurrence_of(X67,tptp0) ) ),
inference(distribute,[status(thm)],[148]) ).
cnf(150,plain,
( leaf_occ(esk8_1(X1),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[149]) ).
cnf(151,plain,
( next_subocc(esk7_1(X1),esk8_1(X1),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[149]) ).
cnf(152,plain,
( occurrence_of(esk8_1(X1),tptp1)
| occurrence_of(esk8_1(X1),tptp2)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[149]) ).
cnf(153,plain,
( next_subocc(esk6_1(X1),esk7_1(X1),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[149]) ).
cnf(155,plain,
( root_occ(esk6_1(X1),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[149]) ).
cnf(156,plain,
( occurrence_of(esk6_1(X1),tptp3)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[149]) ).
fof(241,negated_conjecture,
? [X100] :
( occurrence_of(X100,tptp0)
& ! [X101,X102] :
( ~ occurrence_of(X101,tptp3)
| ~ root_occ(X101,X100)
| ( ~ occurrence_of(X102,tptp2)
& ~ occurrence_of(X102,tptp1) )
| ~ min_precedes(X101,X102,tptp0)
| ~ leaf_occ(X102,X100) ) ),
inference(fof_nnf,[status(thm)],[47]) ).
fof(242,negated_conjecture,
? [X103] :
( occurrence_of(X103,tptp0)
& ! [X104,X105] :
( ~ occurrence_of(X104,tptp3)
| ~ root_occ(X104,X103)
| ( ~ occurrence_of(X105,tptp2)
& ~ occurrence_of(X105,tptp1) )
| ~ min_precedes(X104,X105,tptp0)
| ~ leaf_occ(X105,X103) ) ),
inference(variable_rename,[status(thm)],[241]) ).
fof(243,negated_conjecture,
( occurrence_of(esk18_0,tptp0)
& ! [X104,X105] :
( ~ occurrence_of(X104,tptp3)
| ~ root_occ(X104,esk18_0)
| ( ~ occurrence_of(X105,tptp2)
& ~ occurrence_of(X105,tptp1) )
| ~ min_precedes(X104,X105,tptp0)
| ~ leaf_occ(X105,esk18_0) ) ),
inference(skolemize,[status(esa)],[242]) ).
fof(244,negated_conjecture,
! [X104,X105] :
( ( ~ occurrence_of(X104,tptp3)
| ~ root_occ(X104,esk18_0)
| ( ~ occurrence_of(X105,tptp2)
& ~ occurrence_of(X105,tptp1) )
| ~ min_precedes(X104,X105,tptp0)
| ~ leaf_occ(X105,esk18_0) )
& occurrence_of(esk18_0,tptp0) ),
inference(shift_quantors,[status(thm)],[243]) ).
fof(245,negated_conjecture,
! [X104,X105] :
( ( ~ occurrence_of(X105,tptp2)
| ~ occurrence_of(X104,tptp3)
| ~ root_occ(X104,esk18_0)
| ~ min_precedes(X104,X105,tptp0)
| ~ leaf_occ(X105,esk18_0) )
& ( ~ occurrence_of(X105,tptp1)
| ~ occurrence_of(X104,tptp3)
| ~ root_occ(X104,esk18_0)
| ~ min_precedes(X104,X105,tptp0)
| ~ leaf_occ(X105,esk18_0) )
& occurrence_of(esk18_0,tptp0) ),
inference(distribute,[status(thm)],[244]) ).
cnf(246,negated_conjecture,
occurrence_of(esk18_0,tptp0),
inference(split_conjunct,[status(thm)],[245]) ).
cnf(247,negated_conjecture,
( ~ leaf_occ(X1,esk18_0)
| ~ min_precedes(X2,X1,tptp0)
| ~ root_occ(X2,esk18_0)
| ~ occurrence_of(X2,tptp3)
| ~ occurrence_of(X1,tptp1) ),
inference(split_conjunct,[status(thm)],[245]) ).
cnf(248,negated_conjecture,
( ~ leaf_occ(X1,esk18_0)
| ~ min_precedes(X2,X1,tptp0)
| ~ root_occ(X2,esk18_0)
| ~ occurrence_of(X2,tptp3)
| ~ occurrence_of(X1,tptp2) ),
inference(split_conjunct,[status(thm)],[245]) ).
cnf(317,plain,
( min_precedes(esk6_1(X1),esk7_1(X1),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[137,153,theory(equality)]) ).
cnf(320,plain,
( min_precedes(esk7_1(X1),esk8_1(X1),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[137,151,theory(equality)]) ).
cnf(1000,plain,
( min_precedes(X1,esk8_1(X2),tptp0)
| ~ min_precedes(X1,esk7_1(X2),tptp0)
| ~ occurrence_of(X2,tptp0) ),
inference(spm,[status(thm)],[70,320,theory(equality)]) ).
cnf(1324,plain,
( min_precedes(esk6_1(X1),esk8_1(X1),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[1000,317,theory(equality)]) ).
cnf(1363,negated_conjecture,
( ~ root_occ(esk6_1(X1),esk18_0)
| ~ leaf_occ(esk8_1(X1),esk18_0)
| ~ occurrence_of(esk6_1(X1),tptp3)
| ~ occurrence_of(esk8_1(X1),tptp2)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[248,1324,theory(equality)]) ).
cnf(1365,negated_conjecture,
( ~ root_occ(esk6_1(X1),esk18_0)
| ~ leaf_occ(esk8_1(X1),esk18_0)
| ~ occurrence_of(esk6_1(X1),tptp3)
| ~ occurrence_of(esk8_1(X1),tptp1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[247,1324,theory(equality)]) ).
cnf(1823,negated_conjecture,
( ~ root_occ(esk6_1(X1),esk18_0)
| ~ leaf_occ(esk8_1(X1),esk18_0)
| ~ occurrence_of(esk8_1(X1),tptp2)
| ~ occurrence_of(X1,tptp0) ),
inference(csr,[status(thm)],[1363,156]) ).
cnf(1824,negated_conjecture,
( ~ leaf_occ(esk8_1(esk18_0),esk18_0)
| ~ occurrence_of(esk8_1(esk18_0),tptp2)
| ~ occurrence_of(esk18_0,tptp0) ),
inference(spm,[status(thm)],[1823,155,theory(equality)]) ).
cnf(1826,negated_conjecture,
( ~ leaf_occ(esk8_1(esk18_0),esk18_0)
| ~ occurrence_of(esk8_1(esk18_0),tptp2)
| $false ),
inference(rw,[status(thm)],[1824,246,theory(equality)]) ).
cnf(1827,negated_conjecture,
( ~ leaf_occ(esk8_1(esk18_0),esk18_0)
| ~ occurrence_of(esk8_1(esk18_0),tptp2) ),
inference(cn,[status(thm)],[1826,theory(equality)]) ).
cnf(1833,negated_conjecture,
( ~ occurrence_of(esk8_1(esk18_0),tptp2)
| ~ occurrence_of(esk18_0,tptp0) ),
inference(spm,[status(thm)],[1827,150,theory(equality)]) ).
cnf(1834,negated_conjecture,
( ~ occurrence_of(esk8_1(esk18_0),tptp2)
| $false ),
inference(rw,[status(thm)],[1833,246,theory(equality)]) ).
cnf(1835,negated_conjecture,
~ occurrence_of(esk8_1(esk18_0),tptp2),
inference(cn,[status(thm)],[1834,theory(equality)]) ).
cnf(7095,negated_conjecture,
( ~ root_occ(esk6_1(X1),esk18_0)
| ~ leaf_occ(esk8_1(X1),esk18_0)
| ~ occurrence_of(esk8_1(X1),tptp1)
| ~ occurrence_of(X1,tptp0) ),
inference(csr,[status(thm)],[1365,156]) ).
cnf(7096,negated_conjecture,
( ~ leaf_occ(esk8_1(esk18_0),esk18_0)
| ~ occurrence_of(esk8_1(esk18_0),tptp1)
| ~ occurrence_of(esk18_0,tptp0) ),
inference(spm,[status(thm)],[7095,155,theory(equality)]) ).
cnf(7102,negated_conjecture,
( ~ leaf_occ(esk8_1(esk18_0),esk18_0)
| ~ occurrence_of(esk8_1(esk18_0),tptp1)
| $false ),
inference(rw,[status(thm)],[7096,246,theory(equality)]) ).
cnf(7103,negated_conjecture,
( ~ leaf_occ(esk8_1(esk18_0),esk18_0)
| ~ occurrence_of(esk8_1(esk18_0),tptp1) ),
inference(cn,[status(thm)],[7102,theory(equality)]) ).
cnf(7112,negated_conjecture,
( ~ occurrence_of(esk8_1(esk18_0),tptp1)
| ~ occurrence_of(esk18_0,tptp0) ),
inference(spm,[status(thm)],[7103,150,theory(equality)]) ).
cnf(7113,negated_conjecture,
( ~ occurrence_of(esk8_1(esk18_0),tptp1)
| $false ),
inference(rw,[status(thm)],[7112,246,theory(equality)]) ).
cnf(7114,negated_conjecture,
~ occurrence_of(esk8_1(esk18_0),tptp1),
inference(cn,[status(thm)],[7113,theory(equality)]) ).
cnf(7115,negated_conjecture,
( occurrence_of(esk8_1(esk18_0),tptp2)
| ~ occurrence_of(esk18_0,tptp0) ),
inference(spm,[status(thm)],[7114,152,theory(equality)]) ).
cnf(7116,negated_conjecture,
( occurrence_of(esk8_1(esk18_0),tptp2)
| $false ),
inference(rw,[status(thm)],[7115,246,theory(equality)]) ).
cnf(7117,negated_conjecture,
occurrence_of(esk8_1(esk18_0),tptp2),
inference(cn,[status(thm)],[7116,theory(equality)]) ).
cnf(7118,negated_conjecture,
$false,
inference(sr,[status(thm)],[7117,1835,theory(equality)]) ).
cnf(7119,negated_conjecture,
$false,
7118,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/PRO/PRO009+2.p
% --creating new selector for []
% -running prover on /tmp/tmpmftkJ4/sel_PRO009+2.p_1 with time limit 29
% -prover status Theorem
% Problem PRO009+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/PRO/PRO009+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/PRO/PRO009+2.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
%
%------------------------------------------------------------------------------