TSTP Solution File: GEO200+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO200+1 : TPTP v5.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art06.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 08:53:06 EST 2010
% Result : Theorem 0.24s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 8
% Syntax : Number of formulae : 57 ( 17 unt; 0 def)
% Number of atoms : 133 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 122 ( 46 ~; 62 |; 4 &)
% ( 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 : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 82 ( 0 sgn 58 !; 4 ?)
% 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/tmp3SzgB0/sel_GEO200+1.p_1',cu1) ).
fof(6,axiom,
! [X1,X2] :
( distinct_points(X1,X2)
=> ~ apart_point_and_line(X2,line_connecting(X1,X2)) ),
file('/tmp/tmp3SzgB0/sel_GEO200+1.p_1',ci2) ).
fof(7,axiom,
! [X1,X2] :
( distinct_points(X1,X2)
=> ~ apart_point_and_line(X1,line_connecting(X1,X2)) ),
file('/tmp/tmp3SzgB0/sel_GEO200+1.p_1',ci1) ).
fof(8,axiom,
! [X1] : ~ distinct_points(X1,X1),
file('/tmp/tmp3SzgB0/sel_GEO200+1.p_1',apart1) ).
fof(9,axiom,
! [X1] : ~ distinct_lines(X1,X1),
file('/tmp/tmp3SzgB0/sel_GEO200+1.p_1',apart2) ).
fof(11,axiom,
! [X1,X2,X3] :
( distinct_points(X1,X2)
=> ( distinct_points(X1,X3)
| distinct_points(X2,X3) ) ),
file('/tmp/tmp3SzgB0/sel_GEO200+1.p_1',apart4) ).
fof(12,axiom,
! [X1,X2,X3] :
( distinct_lines(X1,X2)
=> ( distinct_lines(X1,X3)
| distinct_lines(X2,X3) ) ),
file('/tmp/tmp3SzgB0/sel_GEO200+1.p_1',apart5) ).
fof(13,conjecture,
! [X1,X2] :
( distinct_points(X1,X2)
=> ~ distinct_lines(line_connecting(X1,X2),line_connecting(X2,X1)) ),
file('/tmp/tmp3SzgB0/sel_GEO200+1.p_1',con) ).
fof(14,negated_conjecture,
~ ! [X1,X2] :
( distinct_points(X1,X2)
=> ~ distinct_lines(line_connecting(X1,X2),line_connecting(X2,X1)) ),
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(18,plain,
! [X1] : ~ distinct_lines(X1,X1),
inference(fof_simplification,[status(thm)],[9,theory(equality)]) ).
fof(20,negated_conjecture,
~ ! [X1,X2] :
( distinct_points(X1,X2)
=> ~ distinct_lines(line_connecting(X1,X2),line_connecting(X2,X1)) ),
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(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(44,plain,
! [X2] : ~ distinct_lines(X2,X2),
inference(variable_rename,[status(thm)],[18]) ).
cnf(45,plain,
~ distinct_lines(X1,X1),
inference(split_conjunct,[status(thm)],[44]) ).
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(51,plain,
! [X1,X2,X3] :
( ~ distinct_lines(X1,X2)
| distinct_lines(X1,X3)
| distinct_lines(X2,X3) ),
inference(fof_nnf,[status(thm)],[12]) ).
fof(52,plain,
! [X4,X5,X6] :
( ~ distinct_lines(X4,X5)
| distinct_lines(X4,X6)
| distinct_lines(X5,X6) ),
inference(variable_rename,[status(thm)],[51]) ).
cnf(53,plain,
( distinct_lines(X1,X2)
| distinct_lines(X3,X2)
| ~ distinct_lines(X3,X1) ),
inference(split_conjunct,[status(thm)],[52]) ).
fof(54,negated_conjecture,
? [X1,X2] :
( distinct_points(X1,X2)
& distinct_lines(line_connecting(X1,X2),line_connecting(X2,X1)) ),
inference(fof_nnf,[status(thm)],[20]) ).
fof(55,negated_conjecture,
? [X3,X4] :
( distinct_points(X3,X4)
& distinct_lines(line_connecting(X3,X4),line_connecting(X4,X3)) ),
inference(variable_rename,[status(thm)],[54]) ).
fof(56,negated_conjecture,
( distinct_points(esk1_0,esk2_0)
& distinct_lines(line_connecting(esk1_0,esk2_0),line_connecting(esk2_0,esk1_0)) ),
inference(skolemize,[status(esa)],[55]) ).
cnf(57,negated_conjecture,
distinct_lines(line_connecting(esk1_0,esk2_0),line_connecting(esk2_0,esk1_0)),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(58,negated_conjecture,
distinct_points(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(59,negated_conjecture,
( distinct_points(esk2_0,X1)
| distinct_points(esk1_0,X1) ),
inference(spm,[status(thm)],[50,58,theory(equality)]) ).
cnf(60,negated_conjecture,
( distinct_lines(line_connecting(esk2_0,esk1_0),X1)
| distinct_lines(line_connecting(esk1_0,esk2_0),X1) ),
inference(spm,[status(thm)],[53,57,theory(equality)]) ).
cnf(62,negated_conjecture,
distinct_points(esk2_0,esk1_0),
inference(spm,[status(thm)],[43,59,theory(equality)]) ).
cnf(65,negated_conjecture,
distinct_lines(line_connecting(esk2_0,esk1_0),line_connecting(esk1_0,esk2_0)),
inference(spm,[status(thm)],[45,60,theory(equality)]) ).
cnf(69,negated_conjecture,
( apart_point_and_line(X1,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(X1,line_connecting(esk2_0,esk1_0))
| apart_point_and_line(X2,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(X2,line_connecting(esk2_0,esk1_0))
| ~ distinct_points(X2,X1) ),
inference(spm,[status(thm)],[26,65,theory(equality)]) ).
cnf(70,negated_conjecture,
( apart_point_and_line(esk1_0,line_connecting(esk2_0,esk1_0))
| apart_point_and_line(esk1_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk2_0,line_connecting(esk2_0,esk1_0))
| apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[69,58,theory(equality)]) ).
cnf(73,negated_conjecture,
( apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk2_0,line_connecting(esk2_0,esk1_0))
| apart_point_and_line(esk1_0,line_connecting(esk2_0,esk1_0))
| ~ distinct_points(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[41,70,theory(equality)]) ).
cnf(76,negated_conjecture,
( apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk2_0,line_connecting(esk2_0,esk1_0))
| apart_point_and_line(esk1_0,line_connecting(esk2_0,esk1_0))
| $false ),
inference(rw,[status(thm)],[73,58,theory(equality)]) ).
cnf(77,negated_conjecture,
( apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk2_0,line_connecting(esk2_0,esk1_0))
| apart_point_and_line(esk1_0,line_connecting(esk2_0,esk1_0)) ),
inference(cn,[status(thm)],[76,theory(equality)]) ).
cnf(304,negated_conjecture,
( apart_point_and_line(esk2_0,line_connecting(esk2_0,esk1_0))
| apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))
| ~ distinct_points(esk2_0,esk1_0) ),
inference(spm,[status(thm)],[38,77,theory(equality)]) ).
cnf(307,negated_conjecture,
( apart_point_and_line(esk2_0,line_connecting(esk2_0,esk1_0))
| apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))
| $false ),
inference(rw,[status(thm)],[304,62,theory(equality)]) ).
cnf(308,negated_conjecture,
( apart_point_and_line(esk2_0,line_connecting(esk2_0,esk1_0))
| apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[307,theory(equality)]) ).
cnf(392,negated_conjecture,
( apart_point_and_line(esk2_0,line_connecting(esk2_0,esk1_0))
| ~ distinct_points(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[38,308,theory(equality)]) ).
cnf(395,negated_conjecture,
( apart_point_and_line(esk2_0,line_connecting(esk2_0,esk1_0))
| $false ),
inference(rw,[status(thm)],[392,58,theory(equality)]) ).
cnf(396,negated_conjecture,
apart_point_and_line(esk2_0,line_connecting(esk2_0,esk1_0)),
inference(cn,[status(thm)],[395,theory(equality)]) ).
cnf(430,negated_conjecture,
~ distinct_points(esk2_0,esk1_0),
inference(spm,[status(thm)],[41,396,theory(equality)]) ).
cnf(434,negated_conjecture,
$false,
inference(rw,[status(thm)],[430,62,theory(equality)]) ).
cnf(435,negated_conjecture,
$false,
inference(cn,[status(thm)],[434,theory(equality)]) ).
cnf(436,negated_conjecture,
$false,
435,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO200+1.p
% --creating new selector for [GEO006+0.ax]
% -running prover on /tmp/tmp3SzgB0/sel_GEO200+1.p_1 with time limit 29
% -prover status Theorem
% Problem GEO200+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO200+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO200+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
%
%------------------------------------------------------------------------------