%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO220+3 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art01.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 08:59:02 EST 2010
% Result : Theorem 0.21s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 30 ( 9 unt; 0 def)
% Number of atoms : 69 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 69 ( 30 ~; 17 |; 14 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 48 ( 0 sgn 34 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(8,axiom,
! [X5,X6] :
( parallel_lines(X5,X6)
<=> ~ convergent_lines(X5,X6) ),
file('/tmp/tmp9yX67H/sel_GEO220+3.p_1',a3) ).
fof(10,axiom,
! [X5,X6] :
( orthogonal_lines(X5,X6)
<=> ~ unorthogonal_lines(X5,X6) ),
file('/tmp/tmp9yX67H/sel_GEO220+3.p_1',a5) ).
fof(11,axiom,
! [X1,X2,X3] :
( ( ~ unorthogonal_lines(X1,X2)
& ~ unorthogonal_lines(X1,X3) )
=> ~ convergent_lines(X2,X3) ),
file('/tmp/tmp9yX67H/sel_GEO220+3.p_1',couo1) ).
fof(17,conjecture,
! [X1,X2,X3] :
( ( orthogonal_lines(X1,X2)
& orthogonal_lines(X1,X3) )
=> parallel_lines(X2,X3) ),
file('/tmp/tmp9yX67H/sel_GEO220+3.p_1',con) ).
fof(18,negated_conjecture,
~ ! [X1,X2,X3] :
( ( orthogonal_lines(X1,X2)
& orthogonal_lines(X1,X3) )
=> parallel_lines(X2,X3) ),
inference(assume_negation,[status(cth)],[17]) ).
fof(20,plain,
! [X5,X6] :
( parallel_lines(X5,X6)
<=> ~ convergent_lines(X5,X6) ),
inference(fof_simplification,[status(thm)],[8,theory(equality)]) ).
fof(22,plain,
! [X5,X6] :
( orthogonal_lines(X5,X6)
<=> ~ unorthogonal_lines(X5,X6) ),
inference(fof_simplification,[status(thm)],[10,theory(equality)]) ).
fof(23,plain,
! [X1,X2,X3] :
( ( ~ unorthogonal_lines(X1,X2)
& ~ unorthogonal_lines(X1,X3) )
=> ~ convergent_lines(X2,X3) ),
inference(fof_simplification,[status(thm)],[11,theory(equality)]) ).
fof(55,plain,
! [X5,X6] :
( ( ~ parallel_lines(X5,X6)
| ~ convergent_lines(X5,X6) )
& ( convergent_lines(X5,X6)
| parallel_lines(X5,X6) ) ),
inference(fof_nnf,[status(thm)],[20]) ).
fof(56,plain,
! [X7,X8] :
( ( ~ parallel_lines(X7,X8)
| ~ convergent_lines(X7,X8) )
& ( convergent_lines(X7,X8)
| parallel_lines(X7,X8) ) ),
inference(variable_rename,[status(thm)],[55]) ).
cnf(57,plain,
( parallel_lines(X1,X2)
| convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[56]) ).
fof(62,plain,
! [X5,X6] :
( ( ~ orthogonal_lines(X5,X6)
| ~ unorthogonal_lines(X5,X6) )
& ( unorthogonal_lines(X5,X6)
| orthogonal_lines(X5,X6) ) ),
inference(fof_nnf,[status(thm)],[22]) ).
fof(63,plain,
! [X7,X8] :
( ( ~ orthogonal_lines(X7,X8)
| ~ unorthogonal_lines(X7,X8) )
& ( unorthogonal_lines(X7,X8)
| orthogonal_lines(X7,X8) ) ),
inference(variable_rename,[status(thm)],[62]) ).
cnf(65,plain,
( ~ unorthogonal_lines(X1,X2)
| ~ orthogonal_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[63]) ).
fof(66,plain,
! [X1,X2,X3] :
( unorthogonal_lines(X1,X2)
| unorthogonal_lines(X1,X3)
| ~ convergent_lines(X2,X3) ),
inference(fof_nnf,[status(thm)],[23]) ).
fof(67,plain,
! [X4,X5,X6] :
( unorthogonal_lines(X4,X5)
| unorthogonal_lines(X4,X6)
| ~ convergent_lines(X5,X6) ),
inference(variable_rename,[status(thm)],[66]) ).
cnf(68,plain,
( unorthogonal_lines(X3,X2)
| unorthogonal_lines(X3,X1)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[67]) ).
fof(81,negated_conjecture,
? [X1,X2,X3] :
( orthogonal_lines(X1,X2)
& orthogonal_lines(X1,X3)
& ~ parallel_lines(X2,X3) ),
inference(fof_nnf,[status(thm)],[18]) ).
fof(82,negated_conjecture,
? [X4,X5,X6] :
( orthogonal_lines(X4,X5)
& orthogonal_lines(X4,X6)
& ~ parallel_lines(X5,X6) ),
inference(variable_rename,[status(thm)],[81]) ).
fof(83,negated_conjecture,
( orthogonal_lines(esk1_0,esk2_0)
& orthogonal_lines(esk1_0,esk3_0)
& ~ parallel_lines(esk2_0,esk3_0) ),
inference(skolemize,[status(esa)],[82]) ).
cnf(84,negated_conjecture,
~ parallel_lines(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[83]) ).
cnf(85,negated_conjecture,
orthogonal_lines(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[83]) ).
cnf(86,negated_conjecture,
orthogonal_lines(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[83]) ).
cnf(87,negated_conjecture,
convergent_lines(esk2_0,esk3_0),
inference(spm,[status(thm)],[84,57,theory(equality)]) ).
cnf(89,negated_conjecture,
~ unorthogonal_lines(esk1_0,esk2_0),
inference(spm,[status(thm)],[65,86,theory(equality)]) ).
cnf(90,negated_conjecture,
~ unorthogonal_lines(esk1_0,esk3_0),
inference(spm,[status(thm)],[65,85,theory(equality)]) ).
cnf(104,negated_conjecture,
( unorthogonal_lines(X1,esk2_0)
| unorthogonal_lines(X1,esk3_0) ),
inference(spm,[status(thm)],[68,87,theory(equality)]) ).
cnf(123,negated_conjecture,
unorthogonal_lines(esk1_0,esk2_0),
inference(spm,[status(thm)],[90,104,theory(equality)]) ).
cnf(124,negated_conjecture,
$false,
inference(sr,[status(thm)],[123,89,theory(equality)]) ).
cnf(125,negated_conjecture,
$false,
124,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO220+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/tmp9yX67H/sel_GEO220+3.p_1 with time limit 29
% -prover status Theorem
% Problem GEO220+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO220+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO220+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
%
%------------------------------------------------------------------------------