TSTP Solution File: GEO224+3 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO224+3 : TPTP v5.0.0. Released v4.0.0.
% 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 09:00:21 EST 2010
% Result : Theorem 0.52s
% Output : CNFRefutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of formulae : 46 ( 18 unt; 0 def)
% Number of atoms : 98 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 91 ( 39 ~; 31 |; 14 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 84 ( 5 sgn 55 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(4,axiom,
! [X4,X5,X6] :
( apart_point_and_line(X4,X5)
=> ( distinct_lines(X5,X6)
| apart_point_and_line(X4,X6) ) ),
file('/tmp/tmpqjPpyg/sel_GEO224+3.p_4',ceq2) ).
fof(9,axiom,
! [X4,X5,X6] :
( convergent_lines(X4,X5)
=> ( convergent_lines(X4,X6)
| convergent_lines(X5,X6) ) ),
file('/tmp/tmpqjPpyg/sel_GEO224+3.p_4',ax6) ).
fof(15,axiom,
! [X4,X5] : ~ convergent_lines(parallel_through_point(X5,X4),X5),
file('/tmp/tmpqjPpyg/sel_GEO224+3.p_4',cp1) ).
fof(17,axiom,
! [X4] : ~ convergent_lines(X4,X4),
file('/tmp/tmpqjPpyg/sel_GEO224+3.p_4',apart3) ).
fof(22,axiom,
! [X4,X5] :
( incident_point_and_line(X4,X5)
<=> ~ apart_point_and_line(X4,X5) ),
file('/tmp/tmpqjPpyg/sel_GEO224+3.p_4',a4) ).
fof(25,axiom,
! [X4,X5] : ~ apart_point_and_line(X4,parallel_through_point(X5,X4)),
file('/tmp/tmpqjPpyg/sel_GEO224+3.p_4',cp2) ).
fof(28,axiom,
! [X4,X5] :
( distinct_lines(X4,X5)
=> convergent_lines(X4,X5) ),
file('/tmp/tmpqjPpyg/sel_GEO224+3.p_4',p1) ).
fof(32,conjecture,
! [X4,X5] :
( ( point(X4)
& line(X5) )
=> ? [X6] :
( point(X6)
& incident_point_and_line(X6,X5) ) ),
file('/tmp/tmpqjPpyg/sel_GEO224+3.p_4',con) ).
fof(33,negated_conjecture,
~ ! [X4,X5] :
( ( point(X4)
& line(X5) )
=> ? [X6] :
( point(X6)
& incident_point_and_line(X6,X5) ) ),
inference(assume_negation,[status(cth)],[32]) ).
fof(41,plain,
! [X4,X5] : ~ convergent_lines(parallel_through_point(X5,X4),X5),
inference(fof_simplification,[status(thm)],[15,theory(equality)]) ).
fof(43,plain,
! [X4] : ~ convergent_lines(X4,X4),
inference(fof_simplification,[status(thm)],[17,theory(equality)]) ).
fof(44,plain,
! [X4,X5] :
( incident_point_and_line(X4,X5)
<=> ~ apart_point_and_line(X4,X5) ),
inference(fof_simplification,[status(thm)],[22,theory(equality)]) ).
fof(46,plain,
! [X4,X5] : ~ apart_point_and_line(X4,parallel_through_point(X5,X4)),
inference(fof_simplification,[status(thm)],[25,theory(equality)]) ).
fof(66,plain,
! [X4,X5,X6] :
( ~ apart_point_and_line(X4,X5)
| distinct_lines(X5,X6)
| apart_point_and_line(X4,X6) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(67,plain,
! [X7,X8,X9] :
( ~ apart_point_and_line(X7,X8)
| distinct_lines(X8,X9)
| apart_point_and_line(X7,X9) ),
inference(variable_rename,[status(thm)],[66]) ).
cnf(68,plain,
( apart_point_and_line(X1,X2)
| distinct_lines(X3,X2)
| ~ apart_point_and_line(X1,X3) ),
inference(split_conjunct,[status(thm)],[67]) ).
fof(79,plain,
! [X4,X5,X6] :
( ~ convergent_lines(X4,X5)
| convergent_lines(X4,X6)
| convergent_lines(X5,X6) ),
inference(fof_nnf,[status(thm)],[9]) ).
fof(80,plain,
! [X7,X8,X9] :
( ~ convergent_lines(X7,X8)
| convergent_lines(X7,X9)
| convergent_lines(X8,X9) ),
inference(variable_rename,[status(thm)],[79]) ).
cnf(81,plain,
( convergent_lines(X1,X2)
| convergent_lines(X3,X2)
| ~ convergent_lines(X3,X1) ),
inference(split_conjunct,[status(thm)],[80]) ).
fof(97,plain,
! [X6,X7] : ~ convergent_lines(parallel_through_point(X7,X6),X7),
inference(variable_rename,[status(thm)],[41]) ).
cnf(98,plain,
~ convergent_lines(parallel_through_point(X1,X2),X1),
inference(split_conjunct,[status(thm)],[97]) ).
fof(101,plain,
! [X5] : ~ convergent_lines(X5,X5),
inference(variable_rename,[status(thm)],[43]) ).
cnf(102,plain,
~ convergent_lines(X1,X1),
inference(split_conjunct,[status(thm)],[101]) ).
fof(115,plain,
! [X4,X5] :
( ( ~ incident_point_and_line(X4,X5)
| ~ apart_point_and_line(X4,X5) )
& ( apart_point_and_line(X4,X5)
| incident_point_and_line(X4,X5) ) ),
inference(fof_nnf,[status(thm)],[44]) ).
fof(116,plain,
! [X6,X7] :
( ( ~ incident_point_and_line(X6,X7)
| ~ apart_point_and_line(X6,X7) )
& ( apart_point_and_line(X6,X7)
| incident_point_and_line(X6,X7) ) ),
inference(variable_rename,[status(thm)],[115]) ).
cnf(117,plain,
( incident_point_and_line(X1,X2)
| apart_point_and_line(X1,X2) ),
inference(split_conjunct,[status(thm)],[116]) ).
fof(124,plain,
! [X6,X7] : ~ apart_point_and_line(X6,parallel_through_point(X7,X6)),
inference(variable_rename,[status(thm)],[46]) ).
cnf(125,plain,
~ apart_point_and_line(X1,parallel_through_point(X2,X1)),
inference(split_conjunct,[status(thm)],[124]) ).
fof(131,plain,
! [X4,X5] :
( ~ distinct_lines(X4,X5)
| convergent_lines(X4,X5) ),
inference(fof_nnf,[status(thm)],[28]) ).
fof(132,plain,
! [X6,X7] :
( ~ distinct_lines(X6,X7)
| convergent_lines(X6,X7) ),
inference(variable_rename,[status(thm)],[131]) ).
cnf(133,plain,
( convergent_lines(X1,X2)
| ~ distinct_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[132]) ).
fof(143,negated_conjecture,
? [X4,X5] :
( point(X4)
& line(X5)
& ! [X6] :
( ~ point(X6)
| ~ incident_point_and_line(X6,X5) ) ),
inference(fof_nnf,[status(thm)],[33]) ).
fof(144,negated_conjecture,
? [X7,X8] :
( point(X7)
& line(X8)
& ! [X9] :
( ~ point(X9)
| ~ incident_point_and_line(X9,X8) ) ),
inference(variable_rename,[status(thm)],[143]) ).
fof(145,negated_conjecture,
( point(esk1_0)
& line(esk2_0)
& ! [X9] :
( ~ point(X9)
| ~ incident_point_and_line(X9,esk2_0) ) ),
inference(skolemize,[status(esa)],[144]) ).
fof(146,negated_conjecture,
! [X9] :
( ( ~ point(X9)
| ~ incident_point_and_line(X9,esk2_0) )
& point(esk1_0)
& line(esk2_0) ),
inference(shift_quantors,[status(thm)],[145]) ).
cnf(148,negated_conjecture,
point(esk1_0),
inference(split_conjunct,[status(thm)],[146]) ).
cnf(149,negated_conjecture,
( ~ incident_point_and_line(X1,esk2_0)
| ~ point(X1) ),
inference(split_conjunct,[status(thm)],[146]) ).
cnf(150,negated_conjecture,
( apart_point_and_line(X1,esk2_0)
| ~ point(X1) ),
inference(spm,[status(thm)],[149,117,theory(equality)]) ).
cnf(163,negated_conjecture,
apart_point_and_line(esk1_0,esk2_0),
inference(spm,[status(thm)],[150,148,theory(equality)]) ).
cnf(165,negated_conjecture,
( apart_point_and_line(esk1_0,X1)
| distinct_lines(esk2_0,X1) ),
inference(spm,[status(thm)],[68,163,theory(equality)]) ).
cnf(187,negated_conjecture,
( convergent_lines(esk2_0,X1)
| apart_point_and_line(esk1_0,X1) ),
inference(spm,[status(thm)],[133,165,theory(equality)]) ).
cnf(196,negated_conjecture,
convergent_lines(esk2_0,parallel_through_point(X1,esk1_0)),
inference(spm,[status(thm)],[125,187,theory(equality)]) ).
cnf(208,negated_conjecture,
( convergent_lines(parallel_through_point(X1,esk1_0),X2)
| convergent_lines(esk2_0,X2) ),
inference(spm,[status(thm)],[81,196,theory(equality)]) ).
cnf(259,negated_conjecture,
convergent_lines(esk2_0,X1),
inference(spm,[status(thm)],[98,208,theory(equality)]) ).
cnf(264,negated_conjecture,
$false,
inference(spm,[status(thm)],[102,259,theory(equality)]) ).
cnf(276,negated_conjecture,
$false,
264,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO224+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/tmpqjPpyg/sel_GEO224+3.p_1 with time limit 29
% -prover status CounterSatisfiable
% -running prover on /tmp/tmpqjPpyg/sel_GEO224+3.p_2 with time limit 89
% -prover status CounterSatisfiable
% --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/tmpqjPpyg/sel_GEO224+3.p_3 with time limit 119
% -prover status CounterSatisfiable
% --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/tmpqjPpyg/sel_GEO224+3.p_4 with time limit 149
% -prover status Theorem
% Problem GEO224+3.p solved in phase 3.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO224+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO224+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
%
%------------------------------------------------------------------------------