TSTP Solution File: GEO185+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO185+1 : TPTP v5.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art04.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 08:47:38 EST 2010
% Result : Theorem 0.17s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 4
% Syntax : Number of formulae : 34 ( 8 unt; 0 def)
% Number of atoms : 83 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 85 ( 36 ~; 23 |; 18 &)
% ( 0 <=>; 8 =>; 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 54 ( 0 sgn 37 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(5,axiom,
! [X1,X2,X3] :
( apart_point_and_line(X1,X2)
=> ( distinct_points(X1,X3)
| apart_point_and_line(X3,X2) ) ),
file('/tmp/tmpxHvbqA/sel_GEO185+1.p_1',ceq1) ).
fof(6,axiom,
! [X1,X2] :
( convergent_lines(X1,X2)
=> ~ apart_point_and_line(intersection_point(X1,X2),X1) ),
file('/tmp/tmpxHvbqA/sel_GEO185+1.p_1',ci3) ).
fof(7,axiom,
! [X1,X2] :
( convergent_lines(X1,X2)
=> ~ apart_point_and_line(intersection_point(X1,X2),X2) ),
file('/tmp/tmpxHvbqA/sel_GEO185+1.p_1',ci4) ).
fof(13,conjecture,
! [X1,X2,X4,X5] :
( ( distinct_points(X1,X2)
& convergent_lines(X4,X5)
& ~ distinct_points(X1,intersection_point(X4,X5)) )
=> ( ~ apart_point_and_line(X1,X4)
& ~ apart_point_and_line(X1,X5) ) ),
file('/tmp/tmpxHvbqA/sel_GEO185+1.p_1',con) ).
fof(14,negated_conjecture,
~ ! [X1,X2,X4,X5] :
( ( distinct_points(X1,X2)
& convergent_lines(X4,X5)
& ~ distinct_points(X1,intersection_point(X4,X5)) )
=> ( ~ apart_point_and_line(X1,X4)
& ~ apart_point_and_line(X1,X5) ) ),
inference(assume_negation,[status(cth)],[13]) ).
fof(15,plain,
! [X1,X2] :
( convergent_lines(X1,X2)
=> ~ apart_point_and_line(intersection_point(X1,X2),X1) ),
inference(fof_simplification,[status(thm)],[6,theory(equality)]) ).
fof(16,plain,
! [X1,X2] :
( convergent_lines(X1,X2)
=> ~ apart_point_and_line(intersection_point(X1,X2),X2) ),
inference(fof_simplification,[status(thm)],[7,theory(equality)]) ).
fof(20,negated_conjecture,
~ ! [X1,X2,X4,X5] :
( ( distinct_points(X1,X2)
& convergent_lines(X4,X5)
& ~ distinct_points(X1,intersection_point(X4,X5)) )
=> ( ~ apart_point_and_line(X1,X4)
& ~ apart_point_and_line(X1,X5) ) ),
inference(fof_simplification,[status(thm)],[14,theory(equality)]) ).
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] :
( ~ convergent_lines(X1,X2)
| ~ apart_point_and_line(intersection_point(X1,X2),X1) ),
inference(fof_nnf,[status(thm)],[15]) ).
fof(37,plain,
! [X3,X4] :
( ~ convergent_lines(X3,X4)
| ~ apart_point_and_line(intersection_point(X3,X4),X3) ),
inference(variable_rename,[status(thm)],[36]) ).
cnf(38,plain,
( ~ apart_point_and_line(intersection_point(X1,X2),X1)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[37]) ).
fof(39,plain,
! [X1,X2] :
( ~ convergent_lines(X1,X2)
| ~ apart_point_and_line(intersection_point(X1,X2),X2) ),
inference(fof_nnf,[status(thm)],[16]) ).
fof(40,plain,
! [X3,X4] :
( ~ convergent_lines(X3,X4)
| ~ apart_point_and_line(intersection_point(X3,X4),X4) ),
inference(variable_rename,[status(thm)],[39]) ).
cnf(41,plain,
( ~ apart_point_and_line(intersection_point(X1,X2),X2)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[40]) ).
fof(54,negated_conjecture,
? [X1,X2,X4,X5] :
( distinct_points(X1,X2)
& convergent_lines(X4,X5)
& ~ distinct_points(X1,intersection_point(X4,X5))
& ( apart_point_and_line(X1,X4)
| apart_point_and_line(X1,X5) ) ),
inference(fof_nnf,[status(thm)],[20]) ).
fof(55,negated_conjecture,
? [X6,X7,X8,X9] :
( distinct_points(X6,X7)
& convergent_lines(X8,X9)
& ~ distinct_points(X6,intersection_point(X8,X9))
& ( apart_point_and_line(X6,X8)
| apart_point_and_line(X6,X9) ) ),
inference(variable_rename,[status(thm)],[54]) ).
fof(56,negated_conjecture,
( distinct_points(esk1_0,esk2_0)
& convergent_lines(esk3_0,esk4_0)
& ~ distinct_points(esk1_0,intersection_point(esk3_0,esk4_0))
& ( apart_point_and_line(esk1_0,esk3_0)
| apart_point_and_line(esk1_0,esk4_0) ) ),
inference(skolemize,[status(esa)],[55]) ).
cnf(57,negated_conjecture,
( apart_point_and_line(esk1_0,esk4_0)
| apart_point_and_line(esk1_0,esk3_0) ),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(58,negated_conjecture,
~ distinct_points(esk1_0,intersection_point(esk3_0,esk4_0)),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(59,negated_conjecture,
convergent_lines(esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(63,negated_conjecture,
( apart_point_and_line(X1,esk3_0)
| distinct_points(esk1_0,X1)
| apart_point_and_line(esk1_0,esk4_0) ),
inference(spm,[status(thm)],[35,57,theory(equality)]) ).
cnf(89,negated_conjecture,
( apart_point_and_line(esk1_0,esk4_0)
| apart_point_and_line(intersection_point(esk3_0,esk4_0),esk3_0) ),
inference(spm,[status(thm)],[58,63,theory(equality)]) ).
cnf(91,negated_conjecture,
( apart_point_and_line(esk1_0,esk4_0)
| ~ convergent_lines(esk3_0,esk4_0) ),
inference(spm,[status(thm)],[38,89,theory(equality)]) ).
cnf(94,negated_conjecture,
( apart_point_and_line(esk1_0,esk4_0)
| $false ),
inference(rw,[status(thm)],[91,59,theory(equality)]) ).
cnf(95,negated_conjecture,
apart_point_and_line(esk1_0,esk4_0),
inference(cn,[status(thm)],[94,theory(equality)]) ).
cnf(96,negated_conjecture,
( apart_point_and_line(X1,esk4_0)
| distinct_points(esk1_0,X1) ),
inference(spm,[status(thm)],[35,95,theory(equality)]) ).
cnf(106,negated_conjecture,
apart_point_and_line(intersection_point(esk3_0,esk4_0),esk4_0),
inference(spm,[status(thm)],[58,96,theory(equality)]) ).
cnf(109,negated_conjecture,
~ convergent_lines(esk3_0,esk4_0),
inference(spm,[status(thm)],[41,106,theory(equality)]) ).
cnf(112,negated_conjecture,
$false,
inference(rw,[status(thm)],[109,59,theory(equality)]) ).
cnf(113,negated_conjecture,
$false,
inference(cn,[status(thm)],[112,theory(equality)]) ).
cnf(114,negated_conjecture,
$false,
113,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO185+1.p
% --creating new selector for [GEO006+0.ax]
% -running prover on /tmp/tmpxHvbqA/sel_GEO185+1.p_1 with time limit 29
% -prover status Theorem
% Problem GEO185+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO185+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO185+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
%
%------------------------------------------------------------------------------