%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO204+1 : TPTP v5.0.0. Released v3.3.0.
% 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 08:54:47 EST 2010
% Result : Theorem 0.75s
% Output : CNFRefutation 0.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 7
% Syntax : Number of formulae : 62 ( 12 unt; 0 def)
% Number of atoms : 177 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 168 ( 53 ~; 92 |; 13 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 93 ( 0 sgn 58 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,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/tmpNVeECX/sel_GEO204+1.p_1',cu1) ).
fof(5,axiom,
! [X1,X2,X3] :
( apart_point_and_line(X1,X2)
=> ( distinct_points(X1,X3)
| apart_point_and_line(X3,X2) ) ),
file('/tmp/tmpNVeECX/sel_GEO204+1.p_1',ceq1) ).
fof(6,axiom,
! [X1,X2] :
( distinct_points(X1,X2)
=> ~ apart_point_and_line(X2,line_connecting(X1,X2)) ),
file('/tmp/tmpNVeECX/sel_GEO204+1.p_1',ci2) ).
fof(7,axiom,
! [X1,X2] :
( distinct_points(X1,X2)
=> ~ apart_point_and_line(X1,line_connecting(X1,X2)) ),
file('/tmp/tmpNVeECX/sel_GEO204+1.p_1',ci1) ).
fof(8,axiom,
! [X1] : ~ distinct_points(X1,X1),
file('/tmp/tmpNVeECX/sel_GEO204+1.p_1',apart1) ).
fof(11,axiom,
! [X1,X2,X3] :
( distinct_points(X1,X2)
=> ( distinct_points(X1,X3)
| distinct_points(X2,X3) ) ),
file('/tmp/tmpNVeECX/sel_GEO204+1.p_1',apart4) ).
fof(13,conjecture,
! [X1,X2,X3] :
( ( distinct_points(X1,X2)
& ~ distinct_points(X2,X3) )
=> ( distinct_points(X1,X3)
& ~ distinct_lines(line_connecting(X1,X2),line_connecting(X1,X3)) ) ),
file('/tmp/tmpNVeECX/sel_GEO204+1.p_1',con) ).
fof(14,negated_conjecture,
~ ! [X1,X2,X3] :
( ( distinct_points(X1,X2)
& ~ distinct_points(X2,X3) )
=> ( distinct_points(X1,X3)
& ~ distinct_lines(line_connecting(X1,X2),line_connecting(X1,X3)) ) ),
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(17,plain,
! [X1] : ~ distinct_points(X1,X1),
inference(fof_simplification,[status(thm)],[8,theory(equality)]) ).
fof(20,negated_conjecture,
~ ! [X1,X2,X3] :
( ( distinct_points(X1,X2)
& ~ distinct_points(X2,X3) )
=> ( distinct_points(X1,X3)
& ~ distinct_lines(line_connecting(X1,X2),line_connecting(X1,X3)) ) ),
inference(fof_simplification,[status(thm)],[14,theory(equality)]) ).
fof(24,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)],[2]) ).
fof(25,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)],[24]) ).
cnf(26,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)],[25]) ).
fof(33,plain,
! [X1,X2,X3] :
( ~ apart_point_and_line(X1,X2)
| distinct_points(X1,X3)
| apart_point_and_line(X3,X2) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(34,plain,
! [X4,X5,X6] :
( ~ apart_point_and_line(X4,X5)
| distinct_points(X4,X6)
| apart_point_and_line(X6,X5) ),
inference(variable_rename,[status(thm)],[33]) ).
cnf(35,plain,
( apart_point_and_line(X1,X2)
| distinct_points(X3,X1)
| ~ apart_point_and_line(X3,X2) ),
inference(split_conjunct,[status(thm)],[34]) ).
fof(36,plain,
! [X1,X2] :
( ~ distinct_points(X1,X2)
| ~ apart_point_and_line(X2,line_connecting(X1,X2)) ),
inference(fof_nnf,[status(thm)],[15]) ).
fof(37,plain,
! [X3,X4] :
( ~ distinct_points(X3,X4)
| ~ apart_point_and_line(X4,line_connecting(X3,X4)) ),
inference(variable_rename,[status(thm)],[36]) ).
cnf(38,plain,
( ~ apart_point_and_line(X1,line_connecting(X2,X1))
| ~ distinct_points(X2,X1) ),
inference(split_conjunct,[status(thm)],[37]) ).
fof(39,plain,
! [X1,X2] :
( ~ distinct_points(X1,X2)
| ~ apart_point_and_line(X1,line_connecting(X1,X2)) ),
inference(fof_nnf,[status(thm)],[16]) ).
fof(40,plain,
! [X3,X4] :
( ~ distinct_points(X3,X4)
| ~ apart_point_and_line(X3,line_connecting(X3,X4)) ),
inference(variable_rename,[status(thm)],[39]) ).
cnf(41,plain,
( ~ apart_point_and_line(X1,line_connecting(X1,X2))
| ~ distinct_points(X1,X2) ),
inference(split_conjunct,[status(thm)],[40]) ).
fof(42,plain,
! [X2] : ~ distinct_points(X2,X2),
inference(variable_rename,[status(thm)],[17]) ).
cnf(43,plain,
~ distinct_points(X1,X1),
inference(split_conjunct,[status(thm)],[42]) ).
fof(48,plain,
! [X1,X2,X3] :
( ~ distinct_points(X1,X2)
| distinct_points(X1,X3)
| distinct_points(X2,X3) ),
inference(fof_nnf,[status(thm)],[11]) ).
fof(49,plain,
! [X4,X5,X6] :
( ~ distinct_points(X4,X5)
| distinct_points(X4,X6)
| distinct_points(X5,X6) ),
inference(variable_rename,[status(thm)],[48]) ).
cnf(50,plain,
( distinct_points(X1,X2)
| distinct_points(X3,X2)
| ~ distinct_points(X3,X1) ),
inference(split_conjunct,[status(thm)],[49]) ).
fof(54,negated_conjecture,
? [X1,X2,X3] :
( distinct_points(X1,X2)
& ~ distinct_points(X2,X3)
& ( ~ distinct_points(X1,X3)
| distinct_lines(line_connecting(X1,X2),line_connecting(X1,X3)) ) ),
inference(fof_nnf,[status(thm)],[20]) ).
fof(55,negated_conjecture,
? [X4,X5,X6] :
( distinct_points(X4,X5)
& ~ distinct_points(X5,X6)
& ( ~ distinct_points(X4,X6)
| distinct_lines(line_connecting(X4,X5),line_connecting(X4,X6)) ) ),
inference(variable_rename,[status(thm)],[54]) ).
fof(56,negated_conjecture,
( distinct_points(esk1_0,esk2_0)
& ~ distinct_points(esk2_0,esk3_0)
& ( ~ distinct_points(esk1_0,esk3_0)
| distinct_lines(line_connecting(esk1_0,esk2_0),line_connecting(esk1_0,esk3_0)) ) ),
inference(skolemize,[status(esa)],[55]) ).
cnf(57,negated_conjecture,
( distinct_lines(line_connecting(esk1_0,esk2_0),line_connecting(esk1_0,esk3_0))
| ~ distinct_points(esk1_0,esk3_0) ),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(58,negated_conjecture,
~ distinct_points(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(59,negated_conjecture,
distinct_points(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(60,negated_conjecture,
( distinct_points(esk2_0,X1)
| distinct_points(esk1_0,X1) ),
inference(spm,[status(thm)],[50,59,theory(equality)]) ).
cnf(63,negated_conjecture,
distinct_points(esk1_0,esk3_0),
inference(spm,[status(thm)],[58,60,theory(equality)]) ).
cnf(67,negated_conjecture,
( distinct_points(esk3_0,X1)
| distinct_points(esk1_0,X1) ),
inference(spm,[status(thm)],[50,63,theory(equality)]) ).
cnf(68,negated_conjecture,
( distinct_lines(line_connecting(esk1_0,esk2_0),line_connecting(esk1_0,esk3_0))
| $false ),
inference(rw,[status(thm)],[57,63,theory(equality)]) ).
cnf(69,negated_conjecture,
distinct_lines(line_connecting(esk1_0,esk2_0),line_connecting(esk1_0,esk3_0)),
inference(cn,[status(thm)],[68,theory(equality)]) ).
cnf(71,negated_conjecture,
( apart_point_and_line(X1,line_connecting(esk1_0,esk3_0))
| apart_point_and_line(X1,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(X2,line_connecting(esk1_0,esk3_0))
| apart_point_and_line(X2,line_connecting(esk1_0,esk2_0))
| ~ distinct_points(X2,X1) ),
inference(spm,[status(thm)],[26,69,theory(equality)]) ).
cnf(73,negated_conjecture,
( distinct_points(X1,X2)
| distinct_points(esk3_0,X2)
| distinct_points(esk1_0,X1) ),
inference(spm,[status(thm)],[50,67,theory(equality)]) ).
cnf(114,negated_conjecture,
( apart_point_and_line(X1,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(X1,line_connecting(esk1_0,esk3_0))
| apart_point_and_line(X2,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(X2,line_connecting(esk1_0,esk3_0))
| distinct_points(esk1_0,X1)
| distinct_points(esk3_0,X2) ),
inference(spm,[status(thm)],[71,73,theory(equality)]) ).
cnf(736,negated_conjecture,
( apart_point_and_line(X1,line_connecting(esk1_0,esk3_0))
| apart_point_and_line(X1,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk1_0,line_connecting(esk1_0,esk2_0))
| distinct_points(esk3_0,X1)
| distinct_points(esk1_0,esk1_0)
| ~ distinct_points(esk1_0,esk3_0) ),
inference(spm,[status(thm)],[41,114,theory(equality)]) ).
cnf(750,negated_conjecture,
( apart_point_and_line(X1,line_connecting(esk1_0,esk3_0))
| apart_point_and_line(X1,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk1_0,line_connecting(esk1_0,esk2_0))
| distinct_points(esk3_0,X1)
| distinct_points(esk1_0,esk1_0)
| $false ),
inference(rw,[status(thm)],[736,63,theory(equality)]) ).
cnf(751,negated_conjecture,
( apart_point_and_line(X1,line_connecting(esk1_0,esk3_0))
| apart_point_and_line(X1,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk1_0,line_connecting(esk1_0,esk2_0))
| distinct_points(esk3_0,X1)
| distinct_points(esk1_0,esk1_0) ),
inference(cn,[status(thm)],[750,theory(equality)]) ).
cnf(752,negated_conjecture,
( apart_point_and_line(X1,line_connecting(esk1_0,esk3_0))
| apart_point_and_line(X1,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk1_0,line_connecting(esk1_0,esk2_0))
| distinct_points(esk3_0,X1) ),
inference(sr,[status(thm)],[751,43,theory(equality)]) ).
cnf(10825,negated_conjecture,
( apart_point_and_line(esk1_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0))
| distinct_points(esk3_0,esk3_0)
| ~ distinct_points(esk1_0,esk3_0) ),
inference(spm,[status(thm)],[38,752,theory(equality)]) ).
cnf(10832,negated_conjecture,
( apart_point_and_line(esk1_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0))
| distinct_points(esk3_0,esk3_0)
| $false ),
inference(rw,[status(thm)],[10825,63,theory(equality)]) ).
cnf(10833,negated_conjecture,
( apart_point_and_line(esk1_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0))
| distinct_points(esk3_0,esk3_0) ),
inference(cn,[status(thm)],[10832,theory(equality)]) ).
cnf(10834,negated_conjecture,
( apart_point_and_line(esk1_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0)) ),
inference(sr,[status(thm)],[10833,43,theory(equality)]) ).
cnf(10841,negated_conjecture,
( apart_point_and_line(X1,line_connecting(esk1_0,esk2_0))
| distinct_points(esk3_0,X1)
| apart_point_and_line(esk1_0,line_connecting(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[35,10834,theory(equality)]) ).
cnf(10845,negated_conjecture,
( apart_point_and_line(esk1_0,line_connecting(esk1_0,esk2_0))
| distinct_points(esk3_0,esk2_0)
| ~ distinct_points(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[38,10841,theory(equality)]) ).
cnf(10853,negated_conjecture,
( apart_point_and_line(esk1_0,line_connecting(esk1_0,esk2_0))
| distinct_points(esk3_0,esk2_0)
| $false ),
inference(rw,[status(thm)],[10845,59,theory(equality)]) ).
cnf(10854,negated_conjecture,
( apart_point_and_line(esk1_0,line_connecting(esk1_0,esk2_0))
| distinct_points(esk3_0,esk2_0) ),
inference(cn,[status(thm)],[10853,theory(equality)]) ).
cnf(10857,negated_conjecture,
( distinct_points(esk3_0,esk2_0)
| ~ distinct_points(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[41,10854,theory(equality)]) ).
cnf(10860,negated_conjecture,
( distinct_points(esk3_0,esk2_0)
| $false ),
inference(rw,[status(thm)],[10857,59,theory(equality)]) ).
cnf(10861,negated_conjecture,
distinct_points(esk3_0,esk2_0),
inference(cn,[status(thm)],[10860,theory(equality)]) ).
cnf(10862,negated_conjecture,
( distinct_points(esk2_0,X1)
| distinct_points(esk3_0,X1) ),
inference(spm,[status(thm)],[50,10861,theory(equality)]) ).
cnf(10908,negated_conjecture,
distinct_points(esk2_0,esk3_0),
inference(spm,[status(thm)],[43,10862,theory(equality)]) ).
cnf(10916,negated_conjecture,
$false,
inference(sr,[status(thm)],[10908,58,theory(equality)]) ).
cnf(10917,negated_conjecture,
$false,
10916,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO204+1.p
% --creating new selector for [GEO006+0.ax]
% -running prover on /tmp/tmpNVeECX/sel_GEO204+1.p_1 with time limit 29
% -prover status Theorem
% Problem GEO204+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO204+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO204+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
%
%------------------------------------------------------------------------------