TSTP Solution File: GEO218+3 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO218+3 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art09.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 08:58:36 EST 2010
% Result : Theorem 0.24s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 51 ( 15 unt; 0 def)
% Number of atoms : 138 ( 0 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 152 ( 65 ~; 55 |; 23 &)
% ( 4 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 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 : 83 ( 0 sgn 57 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(4,axiom,
! [X5,X6,X7] :
( convergent_lines(X5,X6)
=> ( convergent_lines(X5,X7)
| convergent_lines(X6,X7) ) ),
file('/tmp/tmpEV3z_N/sel_GEO218+3.p_1',ax6) ).
fof(5,axiom,
! [X1,X2,X3] :
( ( ( ~ convergent_lines(X1,X2)
| ~ unorthogonal_lines(X1,X2) )
& ( ~ convergent_lines(X1,X3)
| ~ unorthogonal_lines(X1,X3) ) )
=> ( ~ convergent_lines(X2,X3)
| ~ unorthogonal_lines(X2,X3) ) ),
file('/tmp/tmpEV3z_N/sel_GEO218+3.p_1',cotno1) ).
fof(8,axiom,
! [X5,X6] :
( parallel_lines(X5,X6)
<=> ~ convergent_lines(X5,X6) ),
file('/tmp/tmpEV3z_N/sel_GEO218+3.p_1',a3) ).
fof(9,axiom,
! [X1,X2] :
~ ( ~ convergent_lines(X1,X2)
& ~ unorthogonal_lines(X1,X2) ),
file('/tmp/tmpEV3z_N/sel_GEO218+3.p_1',coipo1) ).
fof(10,axiom,
! [X5,X6] :
( orthogonal_lines(X5,X6)
<=> ~ unorthogonal_lines(X5,X6) ),
file('/tmp/tmpEV3z_N/sel_GEO218+3.p_1',a5) ).
fof(14,axiom,
! [X5] : ~ convergent_lines(X5,X5),
file('/tmp/tmpEV3z_N/sel_GEO218+3.p_1',apart3) ).
fof(17,conjecture,
! [X1,X2,X3] :
( ( parallel_lines(X1,X2)
& orthogonal_lines(X1,X3) )
=> orthogonal_lines(X2,X3) ),
file('/tmp/tmpEV3z_N/sel_GEO218+3.p_1',con) ).
fof(18,negated_conjecture,
~ ! [X1,X2,X3] :
( ( parallel_lines(X1,X2)
& orthogonal_lines(X1,X3) )
=> orthogonal_lines(X2,X3) ),
inference(assume_negation,[status(cth)],[17]) ).
fof(19,plain,
! [X1,X2,X3] :
( ( ( ~ convergent_lines(X1,X2)
| ~ unorthogonal_lines(X1,X2) )
& ( ~ convergent_lines(X1,X3)
| ~ unorthogonal_lines(X1,X3) ) )
=> ( ~ convergent_lines(X2,X3)
| ~ unorthogonal_lines(X2,X3) ) ),
inference(fof_simplification,[status(thm)],[5,theory(equality)]) ).
fof(20,plain,
! [X5,X6] :
( parallel_lines(X5,X6)
<=> ~ convergent_lines(X5,X6) ),
inference(fof_simplification,[status(thm)],[8,theory(equality)]) ).
fof(21,plain,
! [X1,X2] :
~ ( ~ convergent_lines(X1,X2)
& ~ unorthogonal_lines(X1,X2) ),
inference(fof_simplification,[status(thm)],[9,theory(equality)]) ).
fof(22,plain,
! [X5,X6] :
( orthogonal_lines(X5,X6)
<=> ~ unorthogonal_lines(X5,X6) ),
inference(fof_simplification,[status(thm)],[10,theory(equality)]) ).
fof(25,plain,
! [X5] : ~ convergent_lines(X5,X5),
inference(fof_simplification,[status(thm)],[14,theory(equality)]) ).
fof(39,plain,
! [X5,X6,X7] :
( ~ convergent_lines(X5,X6)
| convergent_lines(X5,X7)
| convergent_lines(X6,X7) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(40,plain,
! [X8,X9,X10] :
( ~ convergent_lines(X8,X9)
| convergent_lines(X8,X10)
| convergent_lines(X9,X10) ),
inference(variable_rename,[status(thm)],[39]) ).
cnf(41,plain,
( convergent_lines(X1,X2)
| convergent_lines(X3,X2)
| ~ convergent_lines(X3,X1) ),
inference(split_conjunct,[status(thm)],[40]) ).
fof(42,plain,
! [X1,X2,X3] :
( ( convergent_lines(X1,X2)
& unorthogonal_lines(X1,X2) )
| ( convergent_lines(X1,X3)
& unorthogonal_lines(X1,X3) )
| ~ convergent_lines(X2,X3)
| ~ unorthogonal_lines(X2,X3) ),
inference(fof_nnf,[status(thm)],[19]) ).
fof(43,plain,
! [X4,X5,X6] :
( ( convergent_lines(X4,X5)
& unorthogonal_lines(X4,X5) )
| ( convergent_lines(X4,X6)
& unorthogonal_lines(X4,X6) )
| ~ convergent_lines(X5,X6)
| ~ unorthogonal_lines(X5,X6) ),
inference(variable_rename,[status(thm)],[42]) ).
fof(44,plain,
! [X4,X5,X6] :
( ( convergent_lines(X4,X6)
| convergent_lines(X4,X5)
| ~ convergent_lines(X5,X6)
| ~ unorthogonal_lines(X5,X6) )
& ( unorthogonal_lines(X4,X6)
| convergent_lines(X4,X5)
| ~ convergent_lines(X5,X6)
| ~ unorthogonal_lines(X5,X6) )
& ( convergent_lines(X4,X6)
| unorthogonal_lines(X4,X5)
| ~ convergent_lines(X5,X6)
| ~ unorthogonal_lines(X5,X6) )
& ( unorthogonal_lines(X4,X6)
| unorthogonal_lines(X4,X5)
| ~ convergent_lines(X5,X6)
| ~ unorthogonal_lines(X5,X6) ) ),
inference(distribute,[status(thm)],[43]) ).
cnf(47,plain,
( convergent_lines(X3,X1)
| unorthogonal_lines(X3,X2)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[44]) ).
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(58,plain,
( ~ convergent_lines(X1,X2)
| ~ parallel_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[56]) ).
fof(59,plain,
! [X1,X2] :
( convergent_lines(X1,X2)
| unorthogonal_lines(X1,X2) ),
inference(fof_nnf,[status(thm)],[21]) ).
fof(60,plain,
! [X3,X4] :
( convergent_lines(X3,X4)
| unorthogonal_lines(X3,X4) ),
inference(variable_rename,[status(thm)],[59]) ).
cnf(61,plain,
( unorthogonal_lines(X1,X2)
| convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[60]) ).
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(64,plain,
( orthogonal_lines(X1,X2)
| unorthogonal_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[63]) ).
cnf(65,plain,
( ~ unorthogonal_lines(X1,X2)
| ~ orthogonal_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[63]) ).
fof(74,plain,
! [X6] : ~ convergent_lines(X6,X6),
inference(variable_rename,[status(thm)],[25]) ).
cnf(75,plain,
~ convergent_lines(X1,X1),
inference(split_conjunct,[status(thm)],[74]) ).
fof(81,negated_conjecture,
? [X1,X2,X3] :
( parallel_lines(X1,X2)
& orthogonal_lines(X1,X3)
& ~ orthogonal_lines(X2,X3) ),
inference(fof_nnf,[status(thm)],[18]) ).
fof(82,negated_conjecture,
? [X4,X5,X6] :
( parallel_lines(X4,X5)
& orthogonal_lines(X4,X6)
& ~ orthogonal_lines(X5,X6) ),
inference(variable_rename,[status(thm)],[81]) ).
fof(83,negated_conjecture,
( parallel_lines(esk1_0,esk2_0)
& orthogonal_lines(esk1_0,esk3_0)
& ~ orthogonal_lines(esk2_0,esk3_0) ),
inference(skolemize,[status(esa)],[82]) ).
cnf(84,negated_conjecture,
~ orthogonal_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,
parallel_lines(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[83]) ).
cnf(87,negated_conjecture,
unorthogonal_lines(esk2_0,esk3_0),
inference(spm,[status(thm)],[84,64,theory(equality)]) ).
cnf(88,negated_conjecture,
~ convergent_lines(esk1_0,esk2_0),
inference(spm,[status(thm)],[58,86,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,esk3_0)
| convergent_lines(X1,esk2_0)
| ~ convergent_lines(esk2_0,esk3_0) ),
inference(spm,[status(thm)],[47,87,theory(equality)]) ).
cnf(126,negated_conjecture,
convergent_lines(esk1_0,esk3_0),
inference(spm,[status(thm)],[90,61,theory(equality)]) ).
cnf(127,negated_conjecture,
( convergent_lines(esk1_0,esk2_0)
| ~ convergent_lines(esk2_0,esk3_0) ),
inference(spm,[status(thm)],[90,104,theory(equality)]) ).
cnf(128,negated_conjecture,
~ convergent_lines(esk2_0,esk3_0),
inference(sr,[status(thm)],[127,88,theory(equality)]) ).
cnf(129,negated_conjecture,
( convergent_lines(esk3_0,X1)
| convergent_lines(esk1_0,X1) ),
inference(spm,[status(thm)],[41,126,theory(equality)]) ).
cnf(133,negated_conjecture,
( convergent_lines(X1,X2)
| convergent_lines(esk3_0,X2)
| convergent_lines(esk1_0,X1) ),
inference(spm,[status(thm)],[41,129,theory(equality)]) ).
cnf(157,negated_conjecture,
( convergent_lines(esk1_0,X1)
| convergent_lines(X1,esk3_0) ),
inference(spm,[status(thm)],[75,133,theory(equality)]) ).
cnf(171,negated_conjecture,
convergent_lines(esk2_0,esk3_0),
inference(spm,[status(thm)],[88,157,theory(equality)]) ).
cnf(179,negated_conjecture,
$false,
inference(sr,[status(thm)],[171,128,theory(equality)]) ).
cnf(180,negated_conjecture,
$false,
179,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO218+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/tmpEV3z_N/sel_GEO218+3.p_1 with time limit 29
% -prover status Theorem
% Problem GEO218+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO218+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO218+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
%
%------------------------------------------------------------------------------