%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO183+3 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art09.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 08:47:16 EST 2010
% Result : Theorem 0.24s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 6
% Syntax : Number of formulae : 46 ( 9 unt; 0 def)
% Number of atoms : 111 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 111 ( 46 ~; 35 |; 19 &)
% ( 4 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 70 ( 0 sgn 49 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2] :
( equal_lines(X1,X2)
<=> ~ distinct_lines(X1,X2) ),
file('/tmp/tmpn4zYnH/sel_GEO183+3.p_1',ax2) ).
fof(7,axiom,
! [X1,X2,X5] :
( apart_point_and_line(X1,X2)
=> ( distinct_lines(X2,X5)
| apart_point_and_line(X1,X5) ) ),
file('/tmp/tmpn4zYnH/sel_GEO183+3.p_1',ceq2) ).
fof(9,axiom,
! [X1,X2] :
( distinct_points(X1,X2)
=> ~ apart_point_and_line(X2,line_connecting(X1,X2)) ),
file('/tmp/tmpn4zYnH/sel_GEO183+3.p_1',ci2) ).
fof(10,axiom,
! [X1,X2] :
( distinct_points(X1,X2)
=> ~ apart_point_and_line(X1,line_connecting(X1,X2)) ),
file('/tmp/tmpn4zYnH/sel_GEO183+3.p_1',ci1) ).
fof(11,axiom,
! [X1,X2] :
( incident_point_and_line(X1,X2)
<=> ~ apart_point_and_line(X1,X2) ),
file('/tmp/tmpn4zYnH/sel_GEO183+3.p_1',a4) ).
fof(18,conjecture,
! [X1,X2,X6,X7] :
( ( distinct_points(X1,X2)
& convergent_lines(X6,X7)
& equal_lines(X6,line_connecting(X1,X2)) )
=> ( incident_point_and_line(X1,X6)
& incident_point_and_line(X2,X6) ) ),
file('/tmp/tmpn4zYnH/sel_GEO183+3.p_1',con) ).
fof(19,negated_conjecture,
~ ! [X1,X2,X6,X7] :
( ( distinct_points(X1,X2)
& convergent_lines(X6,X7)
& equal_lines(X6,line_connecting(X1,X2)) )
=> ( incident_point_and_line(X1,X6)
& incident_point_and_line(X2,X6) ) ),
inference(assume_negation,[status(cth)],[18]) ).
fof(20,plain,
! [X1,X2] :
( equal_lines(X1,X2)
<=> ~ distinct_lines(X1,X2) ),
inference(fof_simplification,[status(thm)],[1,theory(equality)]) ).
fof(21,plain,
! [X1,X2] :
( distinct_points(X1,X2)
=> ~ apart_point_and_line(X2,line_connecting(X1,X2)) ),
inference(fof_simplification,[status(thm)],[9,theory(equality)]) ).
fof(22,plain,
! [X1,X2] :
( distinct_points(X1,X2)
=> ~ apart_point_and_line(X1,line_connecting(X1,X2)) ),
inference(fof_simplification,[status(thm)],[10,theory(equality)]) ).
fof(23,plain,
! [X1,X2] :
( incident_point_and_line(X1,X2)
<=> ~ apart_point_and_line(X1,X2) ),
inference(fof_simplification,[status(thm)],[11,theory(equality)]) ).
fof(27,plain,
! [X1,X2] :
( ( ~ equal_lines(X1,X2)
| ~ distinct_lines(X1,X2) )
& ( distinct_lines(X1,X2)
| equal_lines(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[20]) ).
fof(28,plain,
! [X3,X4] :
( ( ~ equal_lines(X3,X4)
| ~ distinct_lines(X3,X4) )
& ( distinct_lines(X3,X4)
| equal_lines(X3,X4) ) ),
inference(variable_rename,[status(thm)],[27]) ).
cnf(30,plain,
( ~ distinct_lines(X1,X2)
| ~ equal_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[28]) ).
fof(46,plain,
! [X1,X2,X5] :
( ~ apart_point_and_line(X1,X2)
| distinct_lines(X2,X5)
| apart_point_and_line(X1,X5) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(47,plain,
! [X6,X7,X8] :
( ~ apart_point_and_line(X6,X7)
| distinct_lines(X7,X8)
| apart_point_and_line(X6,X8) ),
inference(variable_rename,[status(thm)],[46]) ).
cnf(48,plain,
( apart_point_and_line(X1,X2)
| distinct_lines(X3,X2)
| ~ apart_point_and_line(X1,X3) ),
inference(split_conjunct,[status(thm)],[47]) ).
fof(52,plain,
! [X1,X2] :
( ~ distinct_points(X1,X2)
| ~ apart_point_and_line(X2,line_connecting(X1,X2)) ),
inference(fof_nnf,[status(thm)],[21]) ).
fof(53,plain,
! [X3,X4] :
( ~ distinct_points(X3,X4)
| ~ apart_point_and_line(X4,line_connecting(X3,X4)) ),
inference(variable_rename,[status(thm)],[52]) ).
cnf(54,plain,
( ~ apart_point_and_line(X1,line_connecting(X2,X1))
| ~ distinct_points(X2,X1) ),
inference(split_conjunct,[status(thm)],[53]) ).
fof(55,plain,
! [X1,X2] :
( ~ distinct_points(X1,X2)
| ~ apart_point_and_line(X1,line_connecting(X1,X2)) ),
inference(fof_nnf,[status(thm)],[22]) ).
fof(56,plain,
! [X3,X4] :
( ~ distinct_points(X3,X4)
| ~ apart_point_and_line(X3,line_connecting(X3,X4)) ),
inference(variable_rename,[status(thm)],[55]) ).
cnf(57,plain,
( ~ apart_point_and_line(X1,line_connecting(X1,X2))
| ~ distinct_points(X1,X2) ),
inference(split_conjunct,[status(thm)],[56]) ).
fof(58,plain,
! [X1,X2] :
( ( ~ incident_point_and_line(X1,X2)
| ~ apart_point_and_line(X1,X2) )
& ( apart_point_and_line(X1,X2)
| incident_point_and_line(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[23]) ).
fof(59,plain,
! [X3,X4] :
( ( ~ incident_point_and_line(X3,X4)
| ~ apart_point_and_line(X3,X4) )
& ( apart_point_and_line(X3,X4)
| incident_point_and_line(X3,X4) ) ),
inference(variable_rename,[status(thm)],[58]) ).
cnf(60,plain,
( incident_point_and_line(X1,X2)
| apart_point_and_line(X1,X2) ),
inference(split_conjunct,[status(thm)],[59]) ).
fof(77,negated_conjecture,
? [X1,X2,X6,X7] :
( distinct_points(X1,X2)
& convergent_lines(X6,X7)
& equal_lines(X6,line_connecting(X1,X2))
& ( ~ incident_point_and_line(X1,X6)
| ~ incident_point_and_line(X2,X6) ) ),
inference(fof_nnf,[status(thm)],[19]) ).
fof(78,negated_conjecture,
? [X8,X9,X10,X11] :
( distinct_points(X8,X9)
& convergent_lines(X10,X11)
& equal_lines(X10,line_connecting(X8,X9))
& ( ~ incident_point_and_line(X8,X10)
| ~ incident_point_and_line(X9,X10) ) ),
inference(variable_rename,[status(thm)],[77]) ).
fof(79,negated_conjecture,
( distinct_points(esk1_0,esk2_0)
& convergent_lines(esk3_0,esk4_0)
& equal_lines(esk3_0,line_connecting(esk1_0,esk2_0))
& ( ~ incident_point_and_line(esk1_0,esk3_0)
| ~ incident_point_and_line(esk2_0,esk3_0) ) ),
inference(skolemize,[status(esa)],[78]) ).
cnf(80,negated_conjecture,
( ~ incident_point_and_line(esk2_0,esk3_0)
| ~ incident_point_and_line(esk1_0,esk3_0) ),
inference(split_conjunct,[status(thm)],[79]) ).
cnf(81,negated_conjecture,
equal_lines(esk3_0,line_connecting(esk1_0,esk2_0)),
inference(split_conjunct,[status(thm)],[79]) ).
cnf(83,negated_conjecture,
distinct_points(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[79]) ).
cnf(84,negated_conjecture,
( apart_point_and_line(esk1_0,esk3_0)
| ~ incident_point_and_line(esk2_0,esk3_0) ),
inference(spm,[status(thm)],[80,60,theory(equality)]) ).
cnf(86,negated_conjecture,
~ distinct_lines(esk3_0,line_connecting(esk1_0,esk2_0)),
inference(spm,[status(thm)],[30,81,theory(equality)]) ).
cnf(102,negated_conjecture,
( apart_point_and_line(esk1_0,esk3_0)
| apart_point_and_line(esk2_0,esk3_0) ),
inference(spm,[status(thm)],[84,60,theory(equality)]) ).
cnf(104,negated_conjecture,
( apart_point_and_line(esk1_0,X1)
| distinct_lines(esk3_0,X1)
| apart_point_and_line(esk2_0,esk3_0) ),
inference(spm,[status(thm)],[48,102,theory(equality)]) ).
cnf(173,negated_conjecture,
( apart_point_and_line(esk2_0,esk3_0)
| apart_point_and_line(esk1_0,line_connecting(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[86,104,theory(equality)]) ).
cnf(300,negated_conjecture,
( apart_point_and_line(esk2_0,esk3_0)
| ~ distinct_points(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[57,173,theory(equality)]) ).
cnf(302,negated_conjecture,
( apart_point_and_line(esk2_0,esk3_0)
| $false ),
inference(rw,[status(thm)],[300,83,theory(equality)]) ).
cnf(303,negated_conjecture,
apart_point_and_line(esk2_0,esk3_0),
inference(cn,[status(thm)],[302,theory(equality)]) ).
cnf(313,negated_conjecture,
( apart_point_and_line(esk2_0,X1)
| distinct_lines(esk3_0,X1) ),
inference(spm,[status(thm)],[48,303,theory(equality)]) ).
cnf(342,negated_conjecture,
apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0)),
inference(spm,[status(thm)],[86,313,theory(equality)]) ).
cnf(351,negated_conjecture,
~ distinct_points(esk1_0,esk2_0),
inference(spm,[status(thm)],[54,342,theory(equality)]) ).
cnf(353,negated_conjecture,
$false,
inference(rw,[status(thm)],[351,83,theory(equality)]) ).
cnf(354,negated_conjecture,
$false,
inference(cn,[status(thm)],[353,theory(equality)]) ).
cnf(355,negated_conjecture,
$false,
354,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO183+3.p
% --creating new selector for [GEO006+3.ax, GEO006+0.ax, GEO006+1.ax, GEO006+2.ax, GEO006+4.ax, GEO006+5.ax, GEO006+6.ax]
% -running prover on /tmp/tmpn4zYnH/sel_GEO183+3.p_1 with time limit 29
% -prover status Theorem
% Problem GEO183+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO183+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO183+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
%
%------------------------------------------------------------------------------