TSTP Solution File: GEO205+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO205+1 : TPTP v5.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Sat Dec 25 08:59:29 EST 2010
% Result : Theorem 4.35s
% Output : CNFRefutation 4.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 9
% Syntax : Number of formulae : 68 ( 16 unt; 0 def)
% Number of atoms : 183 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 175 ( 60 ~; 91 |; 13 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 106 ( 0 sgn 70 !; 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/tmpA8pCCJ/sel_GEO205+1.p_1',cu1) ).
fof(3,axiom,
! [X1,X2,X3] :
( convergent_lines(X1,X2)
=> ( distinct_lines(X2,X3)
| convergent_lines(X1,X3) ) ),
file('/tmp/tmpA8pCCJ/sel_GEO205+1.p_1',ceq3) ).
fof(4,axiom,
! [X1,X2,X3] :
( apart_point_and_line(X1,X2)
=> ( distinct_lines(X2,X3)
| apart_point_and_line(X1,X3) ) ),
file('/tmp/tmpA8pCCJ/sel_GEO205+1.p_1',ceq2) ).
fof(6,axiom,
! [X1,X2] :
( convergent_lines(X1,X2)
=> ~ apart_point_and_line(intersection_point(X1,X2),X1) ),
file('/tmp/tmpA8pCCJ/sel_GEO205+1.p_1',ci3) ).
fof(7,axiom,
! [X1,X2] :
( convergent_lines(X1,X2)
=> ~ apart_point_and_line(intersection_point(X1,X2),X2) ),
file('/tmp/tmpA8pCCJ/sel_GEO205+1.p_1',ci4) ).
fof(9,axiom,
! [X1] : ~ distinct_lines(X1,X1),
file('/tmp/tmpA8pCCJ/sel_GEO205+1.p_1',apart2) ).
fof(10,axiom,
! [X1] : ~ convergent_lines(X1,X1),
file('/tmp/tmpA8pCCJ/sel_GEO205+1.p_1',apart3) ).
fof(12,axiom,
! [X1,X2,X3] :
( distinct_lines(X1,X2)
=> ( distinct_lines(X1,X3)
| distinct_lines(X2,X3) ) ),
file('/tmp/tmpA8pCCJ/sel_GEO205+1.p_1',apart5) ).
fof(13,conjecture,
! [X1,X2,X3] :
( ( convergent_lines(X1,X2)
& ~ distinct_lines(X2,X3) )
=> ( convergent_lines(X1,X3)
& ~ distinct_points(intersection_point(X1,X2),intersection_point(X1,X3)) ) ),
file('/tmp/tmpA8pCCJ/sel_GEO205+1.p_1',con) ).
fof(14,negated_conjecture,
~ ! [X1,X2,X3] :
( ( convergent_lines(X1,X2)
& ~ distinct_lines(X2,X3) )
=> ( convergent_lines(X1,X3)
& ~ distinct_points(intersection_point(X1,X2),intersection_point(X1,X3)) ) ),
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(18,plain,
! [X1] : ~ distinct_lines(X1,X1),
inference(fof_simplification,[status(thm)],[9,theory(equality)]) ).
fof(19,plain,
! [X1] : ~ convergent_lines(X1,X1),
inference(fof_simplification,[status(thm)],[10,theory(equality)]) ).
fof(20,negated_conjecture,
~ ! [X1,X2,X3] :
( ( convergent_lines(X1,X2)
& ~ distinct_lines(X2,X3) )
=> ( convergent_lines(X1,X3)
& ~ distinct_points(intersection_point(X1,X2),intersection_point(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(27,plain,
! [X1,X2,X3] :
( ~ convergent_lines(X1,X2)
| distinct_lines(X2,X3)
| convergent_lines(X1,X3) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(28,plain,
! [X4,X5,X6] :
( ~ convergent_lines(X4,X5)
| distinct_lines(X5,X6)
| convergent_lines(X4,X6) ),
inference(variable_rename,[status(thm)],[27]) ).
cnf(29,plain,
( convergent_lines(X1,X2)
| distinct_lines(X3,X2)
| ~ convergent_lines(X1,X3) ),
inference(split_conjunct,[status(thm)],[28]) ).
fof(30,plain,
! [X1,X2,X3] :
( ~ apart_point_and_line(X1,X2)
| distinct_lines(X2,X3)
| apart_point_and_line(X1,X3) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(31,plain,
! [X4,X5,X6] :
( ~ apart_point_and_line(X4,X5)
| distinct_lines(X5,X6)
| apart_point_and_line(X4,X6) ),
inference(variable_rename,[status(thm)],[30]) ).
cnf(32,plain,
( apart_point_and_line(X1,X2)
| distinct_lines(X3,X2)
| ~ apart_point_and_line(X1,X3) ),
inference(split_conjunct,[status(thm)],[31]) ).
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(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(46,plain,
! [X2] : ~ convergent_lines(X2,X2),
inference(variable_rename,[status(thm)],[19]) ).
cnf(47,plain,
~ convergent_lines(X1,X1),
inference(split_conjunct,[status(thm)],[46]) ).
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,X3] :
( convergent_lines(X1,X2)
& ~ distinct_lines(X2,X3)
& ( ~ convergent_lines(X1,X3)
| distinct_points(intersection_point(X1,X2),intersection_point(X1,X3)) ) ),
inference(fof_nnf,[status(thm)],[20]) ).
fof(55,negated_conjecture,
? [X4,X5,X6] :
( convergent_lines(X4,X5)
& ~ distinct_lines(X5,X6)
& ( ~ convergent_lines(X4,X6)
| distinct_points(intersection_point(X4,X5),intersection_point(X4,X6)) ) ),
inference(variable_rename,[status(thm)],[54]) ).
fof(56,negated_conjecture,
( convergent_lines(esk1_0,esk2_0)
& ~ distinct_lines(esk2_0,esk3_0)
& ( ~ convergent_lines(esk1_0,esk3_0)
| distinct_points(intersection_point(esk1_0,esk2_0),intersection_point(esk1_0,esk3_0)) ) ),
inference(skolemize,[status(esa)],[55]) ).
cnf(57,negated_conjecture,
( distinct_points(intersection_point(esk1_0,esk2_0),intersection_point(esk1_0,esk3_0))
| ~ convergent_lines(esk1_0,esk3_0) ),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(58,negated_conjecture,
~ distinct_lines(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(59,negated_conjecture,
convergent_lines(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(61,negated_conjecture,
( distinct_lines(esk2_0,X1)
| convergent_lines(esk1_0,X1) ),
inference(spm,[status(thm)],[29,59,theory(equality)]) ).
cnf(67,negated_conjecture,
convergent_lines(esk1_0,esk3_0),
inference(spm,[status(thm)],[58,61,theory(equality)]) ).
cnf(75,negated_conjecture,
( distinct_lines(esk3_0,X1)
| convergent_lines(esk1_0,X1) ),
inference(spm,[status(thm)],[29,67,theory(equality)]) ).
cnf(78,negated_conjecture,
( distinct_points(intersection_point(esk1_0,esk2_0),intersection_point(esk1_0,esk3_0))
| $false ),
inference(rw,[status(thm)],[57,67,theory(equality)]) ).
cnf(79,negated_conjecture,
distinct_points(intersection_point(esk1_0,esk2_0),intersection_point(esk1_0,esk3_0)),
inference(cn,[status(thm)],[78,theory(equality)]) ).
cnf(86,negated_conjecture,
( apart_point_and_line(X1,X2)
| apart_point_and_line(X1,esk3_0)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X3,esk3_0)
| convergent_lines(esk1_0,X2)
| ~ distinct_points(X3,X1) ),
inference(spm,[status(thm)],[26,75,theory(equality)]) ).
cnf(209,negated_conjecture,
( apart_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0)
| apart_point_and_line(intersection_point(esk1_0,esk3_0),esk3_0)
| apart_point_and_line(intersection_point(esk1_0,esk2_0),X1)
| apart_point_and_line(intersection_point(esk1_0,esk3_0),X1)
| convergent_lines(esk1_0,X1) ),
inference(spm,[status(thm)],[86,79,theory(equality)]) ).
cnf(1631,negated_conjecture,
( apart_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0)
| apart_point_and_line(intersection_point(esk1_0,esk3_0),X1)
| apart_point_and_line(intersection_point(esk1_0,esk2_0),X1)
| convergent_lines(esk1_0,X1)
| ~ convergent_lines(esk1_0,esk3_0) ),
inference(spm,[status(thm)],[41,209,theory(equality)]) ).
cnf(1638,negated_conjecture,
( apart_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0)
| apart_point_and_line(intersection_point(esk1_0,esk3_0),X1)
| apart_point_and_line(intersection_point(esk1_0,esk2_0),X1)
| convergent_lines(esk1_0,X1)
| $false ),
inference(rw,[status(thm)],[1631,67,theory(equality)]) ).
cnf(1639,negated_conjecture,
( apart_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0)
| apart_point_and_line(intersection_point(esk1_0,esk3_0),X1)
| apart_point_and_line(intersection_point(esk1_0,esk2_0),X1)
| convergent_lines(esk1_0,X1) ),
inference(cn,[status(thm)],[1638,theory(equality)]) ).
cnf(25648,negated_conjecture,
( apart_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0)
| apart_point_and_line(intersection_point(esk1_0,esk2_0),esk1_0)
| convergent_lines(esk1_0,esk1_0)
| ~ convergent_lines(esk1_0,esk3_0) ),
inference(spm,[status(thm)],[38,1639,theory(equality)]) ).
cnf(25654,negated_conjecture,
( apart_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0)
| apart_point_and_line(intersection_point(esk1_0,esk2_0),esk1_0)
| convergent_lines(esk1_0,esk1_0)
| $false ),
inference(rw,[status(thm)],[25648,67,theory(equality)]) ).
cnf(25655,negated_conjecture,
( apart_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0)
| apart_point_and_line(intersection_point(esk1_0,esk2_0),esk1_0)
| convergent_lines(esk1_0,esk1_0) ),
inference(cn,[status(thm)],[25654,theory(equality)]) ).
cnf(25656,negated_conjecture,
( apart_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0)
| apart_point_and_line(intersection_point(esk1_0,esk2_0),esk1_0) ),
inference(sr,[status(thm)],[25655,47,theory(equality)]) ).
cnf(25658,negated_conjecture,
( apart_point_and_line(intersection_point(esk1_0,esk2_0),X1)
| distinct_lines(esk3_0,X1)
| apart_point_and_line(intersection_point(esk1_0,esk2_0),esk1_0) ),
inference(spm,[status(thm)],[32,25656,theory(equality)]) ).
cnf(58346,negated_conjecture,
( apart_point_and_line(intersection_point(esk1_0,esk2_0),esk1_0)
| distinct_lines(esk3_0,esk2_0)
| ~ convergent_lines(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[41,25658,theory(equality)]) ).
cnf(58354,negated_conjecture,
( apart_point_and_line(intersection_point(esk1_0,esk2_0),esk1_0)
| distinct_lines(esk3_0,esk2_0)
| $false ),
inference(rw,[status(thm)],[58346,59,theory(equality)]) ).
cnf(58355,negated_conjecture,
( apart_point_and_line(intersection_point(esk1_0,esk2_0),esk1_0)
| distinct_lines(esk3_0,esk2_0) ),
inference(cn,[status(thm)],[58354,theory(equality)]) ).
cnf(58358,negated_conjecture,
( distinct_lines(esk3_0,esk2_0)
| ~ convergent_lines(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[38,58355,theory(equality)]) ).
cnf(58361,negated_conjecture,
( distinct_lines(esk3_0,esk2_0)
| $false ),
inference(rw,[status(thm)],[58358,59,theory(equality)]) ).
cnf(58362,negated_conjecture,
distinct_lines(esk3_0,esk2_0),
inference(cn,[status(thm)],[58361,theory(equality)]) ).
cnf(58363,negated_conjecture,
( distinct_lines(esk2_0,X1)
| distinct_lines(esk3_0,X1) ),
inference(spm,[status(thm)],[53,58362,theory(equality)]) ).
cnf(58366,negated_conjecture,
distinct_lines(esk2_0,esk3_0),
inference(spm,[status(thm)],[45,58363,theory(equality)]) ).
cnf(58369,negated_conjecture,
$false,
inference(sr,[status(thm)],[58366,58,theory(equality)]) ).
cnf(58370,negated_conjecture,
$false,
58369,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% /home/graph/tptp/Systems/SInE---0.4/Source/sine.py:10: DeprecationWarning: the sets module is deprecated
% from sets import Set
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO205+1.p
% --creating new selector for [GEO006+0.ax]
% -running prover on /tmp/tmpA8pCCJ/sel_GEO205+1.p_1 with time limit 29
% -prover status Theorem
% Problem GEO205+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO205+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO205+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
%
%------------------------------------------------------------------------------