%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO174+1 : TPTP v5.0.0. Released v3.3.0.
% 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 08:44:02 EST 2010
% Result : Theorem 0.20s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 4
% Syntax : Number of formulae : 33 ( 8 unt; 0 def)
% Number of atoms : 78 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 71 ( 26 ~; 25 |; 13 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 50 ( 0 sgn 33 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(4,axiom,
! [X1,X2,X3] :
( apart_point_and_line(X1,X2)
=> ( distinct_lines(X2,X3)
| apart_point_and_line(X1,X3) ) ),
file('/tmp/tmp_fgC3h/sel_GEO174+1.p_1',ceq2) ).
fof(6,axiom,
! [X1,X2] :
( distinct_points(X1,X2)
=> ~ apart_point_and_line(X2,line_connecting(X1,X2)) ),
file('/tmp/tmp_fgC3h/sel_GEO174+1.p_1',ci2) ).
fof(7,axiom,
! [X1,X2] :
( distinct_points(X1,X2)
=> ~ apart_point_and_line(X1,line_connecting(X1,X2)) ),
file('/tmp/tmp_fgC3h/sel_GEO174+1.p_1',ci1) ).
fof(13,conjecture,
! [X1,X2,X4,X5] :
( ( distinct_points(X1,X2)
& convergent_lines(X4,X5)
& ( apart_point_and_line(X1,X4)
| apart_point_and_line(X2,X4) ) )
=> distinct_lines(X4,line_connecting(X1,X2)) ),
file('/tmp/tmp_fgC3h/sel_GEO174+1.p_1',con) ).
fof(14,negated_conjecture,
~ ! [X1,X2,X4,X5] :
( ( distinct_points(X1,X2)
& convergent_lines(X4,X5)
& ( apart_point_and_line(X1,X4)
| apart_point_and_line(X2,X4) ) )
=> distinct_lines(X4,line_connecting(X1,X2)) ),
inference(assume_negation,[status(cth)],[13]) ).
fof(15,plain,
! [X1,X2] :
( distinct_points(X1,X2)
=> ~ apart_point_and_line(X2,line_connecting(X1,X2)) ),
inference(fof_simplification,[status(thm)],[6,theory(equality)]) ).
fof(16,plain,
! [X1,X2] :
( distinct_points(X1,X2)
=> ~ apart_point_and_line(X1,line_connecting(X1,X2)) ),
inference(fof_simplification,[status(thm)],[7,theory(equality)]) ).
fof(29,plain,
! [X1,X2,X3] :
( ~ apart_point_and_line(X1,X2)
| distinct_lines(X2,X3)
| apart_point_and_line(X1,X3) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(30,plain,
! [X4,X5,X6] :
( ~ apart_point_and_line(X4,X5)
| distinct_lines(X5,X6)
| apart_point_and_line(X4,X6) ),
inference(variable_rename,[status(thm)],[29]) ).
cnf(31,plain,
( apart_point_and_line(X1,X2)
| distinct_lines(X3,X2)
| ~ apart_point_and_line(X1,X3) ),
inference(split_conjunct,[status(thm)],[30]) ).
fof(35,plain,
! [X1,X2] :
( ~ distinct_points(X1,X2)
| ~ apart_point_and_line(X2,line_connecting(X1,X2)) ),
inference(fof_nnf,[status(thm)],[15]) ).
fof(36,plain,
! [X3,X4] :
( ~ distinct_points(X3,X4)
| ~ apart_point_and_line(X4,line_connecting(X3,X4)) ),
inference(variable_rename,[status(thm)],[35]) ).
cnf(37,plain,
( ~ apart_point_and_line(X1,line_connecting(X2,X1))
| ~ distinct_points(X2,X1) ),
inference(split_conjunct,[status(thm)],[36]) ).
fof(38,plain,
! [X1,X2] :
( ~ distinct_points(X1,X2)
| ~ apart_point_and_line(X1,line_connecting(X1,X2)) ),
inference(fof_nnf,[status(thm)],[16]) ).
fof(39,plain,
! [X3,X4] :
( ~ distinct_points(X3,X4)
| ~ apart_point_and_line(X3,line_connecting(X3,X4)) ),
inference(variable_rename,[status(thm)],[38]) ).
cnf(40,plain,
( ~ apart_point_and_line(X1,line_connecting(X1,X2))
| ~ distinct_points(X1,X2) ),
inference(split_conjunct,[status(thm)],[39]) ).
fof(53,negated_conjecture,
? [X1,X2,X4,X5] :
( distinct_points(X1,X2)
& convergent_lines(X4,X5)
& ( apart_point_and_line(X1,X4)
| apart_point_and_line(X2,X4) )
& ~ distinct_lines(X4,line_connecting(X1,X2)) ),
inference(fof_nnf,[status(thm)],[14]) ).
fof(54,negated_conjecture,
? [X6,X7,X8,X9] :
( distinct_points(X6,X7)
& convergent_lines(X8,X9)
& ( apart_point_and_line(X6,X8)
| apart_point_and_line(X7,X8) )
& ~ distinct_lines(X8,line_connecting(X6,X7)) ),
inference(variable_rename,[status(thm)],[53]) ).
fof(55,negated_conjecture,
( distinct_points(esk1_0,esk2_0)
& convergent_lines(esk3_0,esk4_0)
& ( apart_point_and_line(esk1_0,esk3_0)
| apart_point_and_line(esk2_0,esk3_0) )
& ~ distinct_lines(esk3_0,line_connecting(esk1_0,esk2_0)) ),
inference(skolemize,[status(esa)],[54]) ).
cnf(56,negated_conjecture,
~ distinct_lines(esk3_0,line_connecting(esk1_0,esk2_0)),
inference(split_conjunct,[status(thm)],[55]) ).
cnf(57,negated_conjecture,
( apart_point_and_line(esk2_0,esk3_0)
| apart_point_and_line(esk1_0,esk3_0) ),
inference(split_conjunct,[status(thm)],[55]) ).
cnf(59,negated_conjecture,
distinct_points(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[55]) ).
cnf(64,negated_conjecture,
( apart_point_and_line(esk2_0,X1)
| distinct_lines(esk3_0,X1)
| apart_point_and_line(esk1_0,esk3_0) ),
inference(spm,[status(thm)],[31,57,theory(equality)]) ).
cnf(85,negated_conjecture,
( apart_point_and_line(esk1_0,esk3_0)
| apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[56,64,theory(equality)]) ).
cnf(100,negated_conjecture,
( apart_point_and_line(esk1_0,esk3_0)
| ~ distinct_points(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[37,85,theory(equality)]) ).
cnf(103,negated_conjecture,
( apart_point_and_line(esk1_0,esk3_0)
| $false ),
inference(rw,[status(thm)],[100,59,theory(equality)]) ).
cnf(104,negated_conjecture,
apart_point_and_line(esk1_0,esk3_0),
inference(cn,[status(thm)],[103,theory(equality)]) ).
cnf(106,negated_conjecture,
( apart_point_and_line(esk1_0,X1)
| distinct_lines(esk3_0,X1) ),
inference(spm,[status(thm)],[31,104,theory(equality)]) ).
cnf(115,negated_conjecture,
apart_point_and_line(esk1_0,line_connecting(esk1_0,esk2_0)),
inference(spm,[status(thm)],[56,106,theory(equality)]) ).
cnf(119,negated_conjecture,
~ distinct_points(esk1_0,esk2_0),
inference(spm,[status(thm)],[40,115,theory(equality)]) ).
cnf(122,negated_conjecture,
$false,
inference(rw,[status(thm)],[119,59,theory(equality)]) ).
cnf(123,negated_conjecture,
$false,
inference(cn,[status(thm)],[122,theory(equality)]) ).
cnf(124,negated_conjecture,
$false,
123,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO174+1.p
% --creating new selector for [GEO006+0.ax]
% -running prover on /tmp/tmp_fgC3h/sel_GEO174+1.p_1 with time limit 29
% -prover status Theorem
% Problem GEO174+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO174+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO174+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
%
%------------------------------------------------------------------------------