TSTP Solution File: GEO261+3 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO261+3 : TPTP v5.0.0. Released v4.0.0.
% 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 : Sat Dec 25 09:11:23 EST 2010
% Result : Theorem 0.20s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 33 ( 8 unt; 0 def)
% Number of atoms : 95 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 101 ( 39 ~; 32 |; 25 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 62 ( 2 sgn 36 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(9,axiom,
! [X4,X5] :
( ( unequally_directed_lines(X4,X5)
& unequally_directed_lines(X4,reverse_line(X5)) )
=> ( left_convergent_lines(X4,X5)
| left_convergent_lines(X4,reverse_line(X5)) ) ),
file('/tmp/tmpSB54ny/sel_GEO261+3.p_1',ax9_basics) ).
fof(11,axiom,
! [X4,X5] :
~ ( left_convergent_lines(X4,X5)
| left_convergent_lines(X4,reverse_line(X5)) ),
file('/tmp/tmpSB54ny/sel_GEO261+3.p_1',ax11_basics) ).
fof(16,axiom,
! [X4,X5] :
( convergent_lines(X4,X5)
<=> ( unequally_directed_lines(X4,X5)
& unequally_directed_opposite_lines(X4,X5) ) ),
file('/tmp/tmpSB54ny/sel_GEO261+3.p_1',a7_defns) ).
fof(22,axiom,
! [X7,X8] :
( unequally_directed_opposite_lines(X7,X8)
<=> unequally_directed_lines(X7,reverse_line(X8)) ),
file('/tmp/tmpSB54ny/sel_GEO261+3.p_1',a1_defns) ).
fof(23,conjecture,
! [X4,X5,X1,X2,X3] :
( ( between_on_line(X4,X1,X2,X3)
& convergent_lines(X4,X5)
& incident_point_and_line(X2,X5) )
=> divides_points(X5,X1,X3) ),
file('/tmp/tmpSB54ny/sel_GEO261+3.p_1',con) ).
fof(24,negated_conjecture,
~ ! [X4,X5,X1,X2,X3] :
( ( between_on_line(X4,X1,X2,X3)
& convergent_lines(X4,X5)
& incident_point_and_line(X2,X5) )
=> divides_points(X5,X1,X3) ),
inference(assume_negation,[status(cth)],[23]) ).
fof(67,plain,
! [X4,X5] :
( ~ unequally_directed_lines(X4,X5)
| ~ unequally_directed_lines(X4,reverse_line(X5))
| left_convergent_lines(X4,X5)
| left_convergent_lines(X4,reverse_line(X5)) ),
inference(fof_nnf,[status(thm)],[9]) ).
fof(68,plain,
! [X6,X7] :
( ~ unequally_directed_lines(X6,X7)
| ~ unequally_directed_lines(X6,reverse_line(X7))
| left_convergent_lines(X6,X7)
| left_convergent_lines(X6,reverse_line(X7)) ),
inference(variable_rename,[status(thm)],[67]) ).
cnf(69,plain,
( left_convergent_lines(X1,reverse_line(X2))
| left_convergent_lines(X1,X2)
| ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[68]) ).
fof(72,plain,
! [X4,X5] :
( ~ left_convergent_lines(X4,X5)
& ~ left_convergent_lines(X4,reverse_line(X5)) ),
inference(fof_nnf,[status(thm)],[11]) ).
fof(73,plain,
! [X6,X7] :
( ~ left_convergent_lines(X6,X7)
& ~ left_convergent_lines(X6,reverse_line(X7)) ),
inference(variable_rename,[status(thm)],[72]) ).
cnf(75,plain,
~ left_convergent_lines(X1,X2),
inference(split_conjunct,[status(thm)],[73]) ).
fof(88,plain,
! [X4,X5] :
( ( ~ convergent_lines(X4,X5)
| ( unequally_directed_lines(X4,X5)
& unequally_directed_opposite_lines(X4,X5) ) )
& ( ~ unequally_directed_lines(X4,X5)
| ~ unequally_directed_opposite_lines(X4,X5)
| convergent_lines(X4,X5) ) ),
inference(fof_nnf,[status(thm)],[16]) ).
fof(89,plain,
! [X6,X7] :
( ( ~ convergent_lines(X6,X7)
| ( unequally_directed_lines(X6,X7)
& unequally_directed_opposite_lines(X6,X7) ) )
& ( ~ unequally_directed_lines(X6,X7)
| ~ unequally_directed_opposite_lines(X6,X7)
| convergent_lines(X6,X7) ) ),
inference(variable_rename,[status(thm)],[88]) ).
fof(90,plain,
! [X6,X7] :
( ( unequally_directed_lines(X6,X7)
| ~ convergent_lines(X6,X7) )
& ( unequally_directed_opposite_lines(X6,X7)
| ~ convergent_lines(X6,X7) )
& ( ~ unequally_directed_lines(X6,X7)
| ~ unequally_directed_opposite_lines(X6,X7)
| convergent_lines(X6,X7) ) ),
inference(distribute,[status(thm)],[89]) ).
cnf(92,plain,
( unequally_directed_opposite_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[90]) ).
cnf(93,plain,
( unequally_directed_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[90]) ).
fof(121,plain,
! [X7,X8] :
( ( ~ unequally_directed_opposite_lines(X7,X8)
| unequally_directed_lines(X7,reverse_line(X8)) )
& ( ~ unequally_directed_lines(X7,reverse_line(X8))
| unequally_directed_opposite_lines(X7,X8) ) ),
inference(fof_nnf,[status(thm)],[22]) ).
fof(122,plain,
! [X9,X10] :
( ( ~ unequally_directed_opposite_lines(X9,X10)
| unequally_directed_lines(X9,reverse_line(X10)) )
& ( ~ unequally_directed_lines(X9,reverse_line(X10))
| unequally_directed_opposite_lines(X9,X10) ) ),
inference(variable_rename,[status(thm)],[121]) ).
cnf(124,plain,
( unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_opposite_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[122]) ).
fof(125,negated_conjecture,
? [X4,X5,X1,X2,X3] :
( between_on_line(X4,X1,X2,X3)
& convergent_lines(X4,X5)
& incident_point_and_line(X2,X5)
& ~ divides_points(X5,X1,X3) ),
inference(fof_nnf,[status(thm)],[24]) ).
fof(126,negated_conjecture,
? [X6,X7,X8,X9,X10] :
( between_on_line(X6,X8,X9,X10)
& convergent_lines(X6,X7)
& incident_point_and_line(X9,X7)
& ~ divides_points(X7,X8,X10) ),
inference(variable_rename,[status(thm)],[125]) ).
fof(127,negated_conjecture,
( between_on_line(esk1_0,esk3_0,esk4_0,esk5_0)
& convergent_lines(esk1_0,esk2_0)
& incident_point_and_line(esk4_0,esk2_0)
& ~ divides_points(esk2_0,esk3_0,esk5_0) ),
inference(skolemize,[status(esa)],[126]) ).
cnf(130,negated_conjecture,
convergent_lines(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[127]) ).
cnf(132,negated_conjecture,
unequally_directed_lines(esk1_0,esk2_0),
inference(spm,[status(thm)],[93,130,theory(equality)]) ).
cnf(135,plain,
( unequally_directed_lines(X1,reverse_line(X2))
| ~ convergent_lines(X1,X2) ),
inference(spm,[status(thm)],[124,92,theory(equality)]) ).
cnf(174,plain,
( left_convergent_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X1,reverse_line(X2)) ),
inference(sr,[status(thm)],[69,75,theory(equality)]) ).
cnf(175,plain,
( ~ unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X1,reverse_line(X2)) ),
inference(sr,[status(thm)],[174,75,theory(equality)]) ).
cnf(198,negated_conjecture,
unequally_directed_lines(esk1_0,reverse_line(esk2_0)),
inference(spm,[status(thm)],[135,130,theory(equality)]) ).
cnf(211,negated_conjecture,
~ unequally_directed_lines(esk1_0,esk2_0),
inference(spm,[status(thm)],[175,198,theory(equality)]) ).
cnf(212,negated_conjecture,
$false,
inference(rw,[status(thm)],[211,132,theory(equality)]) ).
cnf(213,negated_conjecture,
$false,
inference(cn,[status(thm)],[212,theory(equality)]) ).
cnf(214,negated_conjecture,
$false,
213,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO261+3.p
% --creating new selector for [GEO009+0.ax]
% -running prover on /tmp/tmpSB54ny/sel_GEO261+3.p_1 with time limit 29
% -prover status Theorem
% Problem GEO261+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO261+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO261+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
%
%------------------------------------------------------------------------------