%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO201+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 08:53:57 EST 2010
% Result : Theorem 2.10s
% Output : CNFRefutation 2.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 8
% Syntax : Number of formulae : 58 ( 13 unt; 0 def)
% Number of atoms : 149 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 139 ( 48 ~; 74 |; 6 &)
% ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 88 ( 0 sgn 61 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(3,axiom,
! [X1,X2,X3] :
( convergent_lines(X1,X2)
=> ( convergent_lines(X1,X3)
| convergent_lines(X2,X3) ) ),
file('/tmp/tmpSSfVnT/sel_GEO201+3.p_1',ax6) ).
fof(4,axiom,
! [X1,X2,X4,X5] :
( ( distinct_points(X1,X2)
& distinct_lines(X4,X5) )
=> ( apart_point_and_line(X1,X4)
| apart_point_and_line(X1,X5)
| apart_point_and_line(X2,X4)
| apart_point_and_line(X2,X5) ) ),
file('/tmp/tmpSSfVnT/sel_GEO201+3.p_1',cu1) ).
fof(5,axiom,
! [X1,X2,X3] :
( convergent_lines(X1,X2)
=> ( distinct_lines(X2,X3)
| convergent_lines(X1,X3) ) ),
file('/tmp/tmpSSfVnT/sel_GEO201+3.p_1',ceq3) ).
fof(8,axiom,
! [X1,X2] :
( convergent_lines(X1,X2)
=> ~ apart_point_and_line(intersection_point(X1,X2),X1) ),
file('/tmp/tmpSSfVnT/sel_GEO201+3.p_1',ci3) ).
fof(9,axiom,
! [X1,X2] :
( equal_points(X1,X2)
<=> ~ distinct_points(X1,X2) ),
file('/tmp/tmpSSfVnT/sel_GEO201+3.p_1',ax1) ).
fof(11,axiom,
! [X1,X2] :
( convergent_lines(X1,X2)
=> ~ apart_point_and_line(intersection_point(X1,X2),X2) ),
file('/tmp/tmpSSfVnT/sel_GEO201+3.p_1',ci4) ).
fof(14,axiom,
! [X1] : ~ convergent_lines(X1,X1),
file('/tmp/tmpSSfVnT/sel_GEO201+3.p_1',apart3) ).
fof(17,conjecture,
! [X1,X2] :
( convergent_lines(X1,X2)
=> equal_points(intersection_point(X1,X2),intersection_point(X2,X1)) ),
file('/tmp/tmpSSfVnT/sel_GEO201+3.p_1',con) ).
fof(18,negated_conjecture,
~ ! [X1,X2] :
( convergent_lines(X1,X2)
=> equal_points(intersection_point(X1,X2),intersection_point(X2,X1)) ),
inference(assume_negation,[status(cth)],[17]) ).
fof(20,plain,
! [X1,X2] :
( convergent_lines(X1,X2)
=> ~ apart_point_and_line(intersection_point(X1,X2),X1) ),
inference(fof_simplification,[status(thm)],[8,theory(equality)]) ).
fof(21,plain,
! [X1,X2] :
( equal_points(X1,X2)
<=> ~ distinct_points(X1,X2) ),
inference(fof_simplification,[status(thm)],[9,theory(equality)]) ).
fof(22,plain,
! [X1,X2] :
( convergent_lines(X1,X2)
=> ~ apart_point_and_line(intersection_point(X1,X2),X2) ),
inference(fof_simplification,[status(thm)],[11,theory(equality)]) ).
fof(24,plain,
! [X1] : ~ convergent_lines(X1,X1),
inference(fof_simplification,[status(thm)],[14,theory(equality)]) ).
fof(30,plain,
! [X1,X2,X3] :
( ~ convergent_lines(X1,X2)
| convergent_lines(X1,X3)
| convergent_lines(X2,X3) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(31,plain,
! [X4,X5,X6] :
( ~ convergent_lines(X4,X5)
| convergent_lines(X4,X6)
| convergent_lines(X5,X6) ),
inference(variable_rename,[status(thm)],[30]) ).
cnf(32,plain,
( convergent_lines(X1,X2)
| convergent_lines(X3,X2)
| ~ convergent_lines(X3,X1) ),
inference(split_conjunct,[status(thm)],[31]) ).
fof(33,plain,
! [X1,X2,X4,X5] :
( ~ distinct_points(X1,X2)
| ~ distinct_lines(X4,X5)
| apart_point_and_line(X1,X4)
| apart_point_and_line(X1,X5)
| apart_point_and_line(X2,X4)
| apart_point_and_line(X2,X5) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(34,plain,
! [X6,X7,X8,X9] :
( ~ distinct_points(X6,X7)
| ~ distinct_lines(X8,X9)
| apart_point_and_line(X6,X8)
| apart_point_and_line(X6,X9)
| apart_point_and_line(X7,X8)
| apart_point_and_line(X7,X9) ),
inference(variable_rename,[status(thm)],[33]) ).
cnf(35,plain,
( apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X4,X2)
| apart_point_and_line(X4,X3)
| ~ distinct_lines(X3,X2)
| ~ distinct_points(X4,X1) ),
inference(split_conjunct,[status(thm)],[34]) ).
fof(36,plain,
! [X1,X2,X3] :
( ~ convergent_lines(X1,X2)
| distinct_lines(X2,X3)
| convergent_lines(X1,X3) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(37,plain,
! [X4,X5,X6] :
( ~ convergent_lines(X4,X5)
| distinct_lines(X5,X6)
| convergent_lines(X4,X6) ),
inference(variable_rename,[status(thm)],[36]) ).
cnf(38,plain,
( convergent_lines(X1,X2)
| distinct_lines(X3,X2)
| ~ convergent_lines(X1,X3) ),
inference(split_conjunct,[status(thm)],[37]) ).
fof(45,plain,
! [X1,X2] :
( ~ convergent_lines(X1,X2)
| ~ apart_point_and_line(intersection_point(X1,X2),X1) ),
inference(fof_nnf,[status(thm)],[20]) ).
fof(46,plain,
! [X3,X4] :
( ~ convergent_lines(X3,X4)
| ~ apart_point_and_line(intersection_point(X3,X4),X3) ),
inference(variable_rename,[status(thm)],[45]) ).
cnf(47,plain,
( ~ apart_point_and_line(intersection_point(X1,X2),X1)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[46]) ).
fof(48,plain,
! [X1,X2] :
( ( ~ equal_points(X1,X2)
| ~ distinct_points(X1,X2) )
& ( distinct_points(X1,X2)
| equal_points(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[21]) ).
fof(49,plain,
! [X3,X4] :
( ( ~ equal_points(X3,X4)
| ~ distinct_points(X3,X4) )
& ( distinct_points(X3,X4)
| equal_points(X3,X4) ) ),
inference(variable_rename,[status(thm)],[48]) ).
cnf(50,plain,
( equal_points(X1,X2)
| distinct_points(X1,X2) ),
inference(split_conjunct,[status(thm)],[49]) ).
fof(55,plain,
! [X1,X2] :
( ~ convergent_lines(X1,X2)
| ~ apart_point_and_line(intersection_point(X1,X2),X2) ),
inference(fof_nnf,[status(thm)],[22]) ).
fof(56,plain,
! [X3,X4] :
( ~ convergent_lines(X3,X4)
| ~ apart_point_and_line(intersection_point(X3,X4),X4) ),
inference(variable_rename,[status(thm)],[55]) ).
cnf(57,plain,
( ~ apart_point_and_line(intersection_point(X1,X2),X2)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[56]) ).
fof(63,plain,
! [X2] : ~ convergent_lines(X2,X2),
inference(variable_rename,[status(thm)],[24]) ).
cnf(64,plain,
~ convergent_lines(X1,X1),
inference(split_conjunct,[status(thm)],[63]) ).
fof(71,negated_conjecture,
? [X1,X2] :
( convergent_lines(X1,X2)
& ~ equal_points(intersection_point(X1,X2),intersection_point(X2,X1)) ),
inference(fof_nnf,[status(thm)],[18]) ).
fof(72,negated_conjecture,
? [X3,X4] :
( convergent_lines(X3,X4)
& ~ equal_points(intersection_point(X3,X4),intersection_point(X4,X3)) ),
inference(variable_rename,[status(thm)],[71]) ).
fof(73,negated_conjecture,
( convergent_lines(esk1_0,esk2_0)
& ~ equal_points(intersection_point(esk1_0,esk2_0),intersection_point(esk2_0,esk1_0)) ),
inference(skolemize,[status(esa)],[72]) ).
cnf(74,negated_conjecture,
~ equal_points(intersection_point(esk1_0,esk2_0),intersection_point(esk2_0,esk1_0)),
inference(split_conjunct,[status(thm)],[73]) ).
cnf(75,negated_conjecture,
convergent_lines(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[73]) ).
cnf(76,negated_conjecture,
( convergent_lines(esk2_0,X1)
| convergent_lines(esk1_0,X1) ),
inference(spm,[status(thm)],[32,75,theory(equality)]) ).
cnf(78,negated_conjecture,
distinct_points(intersection_point(esk1_0,esk2_0),intersection_point(esk2_0,esk1_0)),
inference(spm,[status(thm)],[74,50,theory(equality)]) ).
cnf(79,negated_conjecture,
( convergent_lines(esk1_0,X1)
| distinct_lines(esk2_0,X1) ),
inference(spm,[status(thm)],[38,75,theory(equality)]) ).
cnf(86,negated_conjecture,
convergent_lines(esk2_0,esk1_0),
inference(spm,[status(thm)],[64,76,theory(equality)]) ).
cnf(94,negated_conjecture,
( apart_point_and_line(X1,X2)
| apart_point_and_line(X1,esk2_0)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X3,esk2_0)
| convergent_lines(esk1_0,X2)
| ~ distinct_points(X3,X1) ),
inference(spm,[status(thm)],[35,79,theory(equality)]) ).
cnf(258,negated_conjecture,
( apart_point_and_line(intersection_point(esk1_0,esk2_0),esk2_0)
| apart_point_and_line(intersection_point(esk2_0,esk1_0),esk2_0)
| apart_point_and_line(intersection_point(esk1_0,esk2_0),X1)
| apart_point_and_line(intersection_point(esk2_0,esk1_0),X1)
| convergent_lines(esk1_0,X1) ),
inference(spm,[status(thm)],[94,78,theory(equality)]) ).
cnf(1583,negated_conjecture,
( apart_point_and_line(intersection_point(esk2_0,esk1_0),esk2_0)
| apart_point_and_line(intersection_point(esk1_0,esk2_0),esk2_0)
| apart_point_and_line(intersection_point(esk2_0,esk1_0),esk1_0)
| convergent_lines(esk1_0,esk1_0)
| ~ convergent_lines(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[47,258,theory(equality)]) ).
cnf(1592,negated_conjecture,
( apart_point_and_line(intersection_point(esk2_0,esk1_0),esk2_0)
| apart_point_and_line(intersection_point(esk1_0,esk2_0),esk2_0)
| apart_point_and_line(intersection_point(esk2_0,esk1_0),esk1_0)
| convergent_lines(esk1_0,esk1_0)
| $false ),
inference(rw,[status(thm)],[1583,75,theory(equality)]) ).
cnf(1593,negated_conjecture,
( apart_point_and_line(intersection_point(esk2_0,esk1_0),esk2_0)
| apart_point_and_line(intersection_point(esk1_0,esk2_0),esk2_0)
| apart_point_and_line(intersection_point(esk2_0,esk1_0),esk1_0)
| convergent_lines(esk1_0,esk1_0) ),
inference(cn,[status(thm)],[1592,theory(equality)]) ).
cnf(1594,negated_conjecture,
( apart_point_and_line(intersection_point(esk2_0,esk1_0),esk2_0)
| apart_point_and_line(intersection_point(esk1_0,esk2_0),esk2_0)
| apart_point_and_line(intersection_point(esk2_0,esk1_0),esk1_0) ),
inference(sr,[status(thm)],[1593,64,theory(equality)]) ).
cnf(26399,negated_conjecture,
( apart_point_and_line(intersection_point(esk2_0,esk1_0),esk1_0)
| apart_point_and_line(intersection_point(esk2_0,esk1_0),esk2_0)
| ~ convergent_lines(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[57,1594,theory(equality)]) ).
cnf(26402,negated_conjecture,
( apart_point_and_line(intersection_point(esk2_0,esk1_0),esk1_0)
| apart_point_and_line(intersection_point(esk2_0,esk1_0),esk2_0)
| $false ),
inference(rw,[status(thm)],[26399,75,theory(equality)]) ).
cnf(26403,negated_conjecture,
( apart_point_and_line(intersection_point(esk2_0,esk1_0),esk1_0)
| apart_point_and_line(intersection_point(esk2_0,esk1_0),esk2_0) ),
inference(cn,[status(thm)],[26402,theory(equality)]) ).
cnf(26404,negated_conjecture,
( apart_point_and_line(intersection_point(esk2_0,esk1_0),esk2_0)
| ~ convergent_lines(esk2_0,esk1_0) ),
inference(spm,[status(thm)],[57,26403,theory(equality)]) ).
cnf(26407,negated_conjecture,
( apart_point_and_line(intersection_point(esk2_0,esk1_0),esk2_0)
| $false ),
inference(rw,[status(thm)],[26404,86,theory(equality)]) ).
cnf(26408,negated_conjecture,
apart_point_and_line(intersection_point(esk2_0,esk1_0),esk2_0),
inference(cn,[status(thm)],[26407,theory(equality)]) ).
cnf(26409,negated_conjecture,
~ convergent_lines(esk2_0,esk1_0),
inference(spm,[status(thm)],[47,26408,theory(equality)]) ).
cnf(26425,negated_conjecture,
$false,
inference(rw,[status(thm)],[26409,86,theory(equality)]) ).
cnf(26426,negated_conjecture,
$false,
inference(cn,[status(thm)],[26425,theory(equality)]) ).
cnf(26427,negated_conjecture,
$false,
26426,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO201+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/tmpSSfVnT/sel_GEO201+3.p_1 with time limit 29
% -prover status Theorem
% Problem GEO201+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO201+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO201+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
%
%------------------------------------------------------------------------------