%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO223+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 08:59:52 EST 2010
% Result : Theorem 0.23s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 12
% Syntax : Number of formulae : 87 ( 32 unt; 0 def)
% Number of atoms : 230 ( 0 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 238 ( 95 ~; 108 |; 25 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 168 ( 9 sgn 98 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2] :
( equal_lines(X1,X2)
<=> ~ distinct_lines(X1,X2) ),
file('/tmp/tmp4Vr4Sb/sel_GEO223+3.p_1',ax2) ).
fof(2,axiom,
! [X3,X4,X5] :
( ( convergent_lines(X3,X4)
& unorthogonal_lines(X3,X4) )
=> ( ( convergent_lines(X3,X5)
& unorthogonal_lines(X3,X5) )
| ( convergent_lines(X4,X5)
& unorthogonal_lines(X4,X5) ) ) ),
file('/tmp/tmp4Vr4Sb/sel_GEO223+3.p_1',oac1) ).
fof(3,axiom,
! [X1,X2] :
( distinct_lines(X1,X2)
=> convergent_lines(X1,X2) ),
file('/tmp/tmp4Vr4Sb/sel_GEO223+3.p_1',p1) ).
fof(4,axiom,
! [X1,X2,X6] :
( convergent_lines(X1,X2)
=> ( convergent_lines(X1,X6)
| convergent_lines(X2,X6) ) ),
file('/tmp/tmp4Vr4Sb/sel_GEO223+3.p_1',ax6) ).
fof(6,axiom,
! [X3,X4,X5] :
( ( ( ~ convergent_lines(X3,X4)
| ~ unorthogonal_lines(X3,X4) )
& ( ~ convergent_lines(X3,X5)
| ~ unorthogonal_lines(X3,X5) ) )
=> ( ~ convergent_lines(X4,X5)
| ~ unorthogonal_lines(X4,X5) ) ),
file('/tmp/tmp4Vr4Sb/sel_GEO223+3.p_1',cotno1) ).
fof(7,axiom,
! [X1,X2,X6] :
( convergent_lines(X1,X2)
=> ( distinct_lines(X2,X6)
| convergent_lines(X1,X6) ) ),
file('/tmp/tmp4Vr4Sb/sel_GEO223+3.p_1',ceq3) ).
fof(12,axiom,
! [X3,X4] :
~ ( ~ convergent_lines(X3,X4)
& ~ unorthogonal_lines(X3,X4) ),
file('/tmp/tmp4Vr4Sb/sel_GEO223+3.p_1',coipo1) ).
fof(13,axiom,
! [X3,X4,X5] :
( ( ~ unorthogonal_lines(X3,X4)
& ~ unorthogonal_lines(X3,X5) )
=> ~ convergent_lines(X4,X5) ),
file('/tmp/tmp4Vr4Sb/sel_GEO223+3.p_1',couo1) ).
fof(16,axiom,
! [X1,X2] : ~ convergent_lines(parallel_through_point(X2,X1),X2),
file('/tmp/tmp4Vr4Sb/sel_GEO223+3.p_1',cp1) ).
fof(18,axiom,
! [X1] : ~ convergent_lines(X1,X1),
file('/tmp/tmp4Vr4Sb/sel_GEO223+3.p_1',apart3) ).
fof(19,axiom,
! [X7,X3] : ~ unorthogonal_lines(orthogonal_through_point(X3,X7),X3),
file('/tmp/tmp4Vr4Sb/sel_GEO223+3.p_1',ooc1) ).
fof(22,conjecture,
! [X7,X3] : equal_lines(parallel_through_point(X3,X7),orthogonal_through_point(orthogonal_through_point(X3,X7),X7)),
file('/tmp/tmp4Vr4Sb/sel_GEO223+3.p_1',con) ).
fof(23,negated_conjecture,
~ ! [X7,X3] : equal_lines(parallel_through_point(X3,X7),orthogonal_through_point(orthogonal_through_point(X3,X7),X7)),
inference(assume_negation,[status(cth)],[22]) ).
fof(24,plain,
! [X1,X2] :
( equal_lines(X1,X2)
<=> ~ distinct_lines(X1,X2) ),
inference(fof_simplification,[status(thm)],[1,theory(equality)]) ).
fof(25,plain,
! [X3,X4,X5] :
( ( ( ~ convergent_lines(X3,X4)
| ~ unorthogonal_lines(X3,X4) )
& ( ~ convergent_lines(X3,X5)
| ~ unorthogonal_lines(X3,X5) ) )
=> ( ~ convergent_lines(X4,X5)
| ~ unorthogonal_lines(X4,X5) ) ),
inference(fof_simplification,[status(thm)],[6,theory(equality)]) ).
fof(26,plain,
! [X3,X4] :
~ ( ~ convergent_lines(X3,X4)
& ~ unorthogonal_lines(X3,X4) ),
inference(fof_simplification,[status(thm)],[12,theory(equality)]) ).
fof(27,plain,
! [X3,X4,X5] :
( ( ~ unorthogonal_lines(X3,X4)
& ~ unorthogonal_lines(X3,X5) )
=> ~ convergent_lines(X4,X5) ),
inference(fof_simplification,[status(thm)],[13,theory(equality)]) ).
fof(29,plain,
! [X1,X2] : ~ convergent_lines(parallel_through_point(X2,X1),X2),
inference(fof_simplification,[status(thm)],[16,theory(equality)]) ).
fof(31,plain,
! [X1] : ~ convergent_lines(X1,X1),
inference(fof_simplification,[status(thm)],[18,theory(equality)]) ).
fof(32,plain,
! [X7,X3] : ~ unorthogonal_lines(orthogonal_through_point(X3,X7),X3),
inference(fof_simplification,[status(thm)],[19,theory(equality)]) ).
fof(34,plain,
! [X1,X2] :
( ( ~ equal_lines(X1,X2)
| ~ distinct_lines(X1,X2) )
& ( distinct_lines(X1,X2)
| equal_lines(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[24]) ).
fof(35,plain,
! [X3,X4] :
( ( ~ equal_lines(X3,X4)
| ~ distinct_lines(X3,X4) )
& ( distinct_lines(X3,X4)
| equal_lines(X3,X4) ) ),
inference(variable_rename,[status(thm)],[34]) ).
cnf(36,plain,
( equal_lines(X1,X2)
| distinct_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[35]) ).
fof(38,plain,
! [X3,X4,X5] :
( ~ convergent_lines(X3,X4)
| ~ unorthogonal_lines(X3,X4)
| ( convergent_lines(X3,X5)
& unorthogonal_lines(X3,X5) )
| ( convergent_lines(X4,X5)
& unorthogonal_lines(X4,X5) ) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(39,plain,
! [X6,X7,X8] :
( ~ convergent_lines(X6,X7)
| ~ unorthogonal_lines(X6,X7)
| ( convergent_lines(X6,X8)
& unorthogonal_lines(X6,X8) )
| ( convergent_lines(X7,X8)
& unorthogonal_lines(X7,X8) ) ),
inference(variable_rename,[status(thm)],[38]) ).
fof(40,plain,
! [X6,X7,X8] :
( ( convergent_lines(X7,X8)
| convergent_lines(X6,X8)
| ~ convergent_lines(X6,X7)
| ~ unorthogonal_lines(X6,X7) )
& ( unorthogonal_lines(X7,X8)
| convergent_lines(X6,X8)
| ~ convergent_lines(X6,X7)
| ~ unorthogonal_lines(X6,X7) )
& ( convergent_lines(X7,X8)
| unorthogonal_lines(X6,X8)
| ~ convergent_lines(X6,X7)
| ~ unorthogonal_lines(X6,X7) )
& ( unorthogonal_lines(X7,X8)
| unorthogonal_lines(X6,X8)
| ~ convergent_lines(X6,X7)
| ~ unorthogonal_lines(X6,X7) ) ),
inference(distribute,[status(thm)],[39]) ).
cnf(41,plain,
( unorthogonal_lines(X1,X3)
| unorthogonal_lines(X2,X3)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[40]) ).
cnf(43,plain,
( convergent_lines(X1,X3)
| unorthogonal_lines(X2,X3)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[40]) ).
fof(45,plain,
! [X1,X2] :
( ~ distinct_lines(X1,X2)
| convergent_lines(X1,X2) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(46,plain,
! [X3,X4] :
( ~ distinct_lines(X3,X4)
| convergent_lines(X3,X4) ),
inference(variable_rename,[status(thm)],[45]) ).
cnf(47,plain,
( convergent_lines(X1,X2)
| ~ distinct_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[46]) ).
fof(48,plain,
! [X1,X2,X6] :
( ~ convergent_lines(X1,X2)
| convergent_lines(X1,X6)
| convergent_lines(X2,X6) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(49,plain,
! [X7,X8,X9] :
( ~ convergent_lines(X7,X8)
| convergent_lines(X7,X9)
| convergent_lines(X8,X9) ),
inference(variable_rename,[status(thm)],[48]) ).
cnf(50,plain,
( convergent_lines(X1,X2)
| convergent_lines(X3,X2)
| ~ convergent_lines(X3,X1) ),
inference(split_conjunct,[status(thm)],[49]) ).
fof(54,plain,
! [X3,X4,X5] :
( ( convergent_lines(X3,X4)
& unorthogonal_lines(X3,X4) )
| ( convergent_lines(X3,X5)
& unorthogonal_lines(X3,X5) )
| ~ convergent_lines(X4,X5)
| ~ unorthogonal_lines(X4,X5) ),
inference(fof_nnf,[status(thm)],[25]) ).
fof(55,plain,
! [X6,X7,X8] :
( ( convergent_lines(X6,X7)
& unorthogonal_lines(X6,X7) )
| ( convergent_lines(X6,X8)
& unorthogonal_lines(X6,X8) )
| ~ convergent_lines(X7,X8)
| ~ unorthogonal_lines(X7,X8) ),
inference(variable_rename,[status(thm)],[54]) ).
fof(56,plain,
! [X6,X7,X8] :
( ( convergent_lines(X6,X8)
| convergent_lines(X6,X7)
| ~ convergent_lines(X7,X8)
| ~ unorthogonal_lines(X7,X8) )
& ( unorthogonal_lines(X6,X8)
| convergent_lines(X6,X7)
| ~ convergent_lines(X7,X8)
| ~ unorthogonal_lines(X7,X8) )
& ( convergent_lines(X6,X8)
| unorthogonal_lines(X6,X7)
| ~ convergent_lines(X7,X8)
| ~ unorthogonal_lines(X7,X8) )
& ( unorthogonal_lines(X6,X8)
| unorthogonal_lines(X6,X7)
| ~ convergent_lines(X7,X8)
| ~ unorthogonal_lines(X7,X8) ) ),
inference(distribute,[status(thm)],[55]) ).
cnf(58,plain,
( unorthogonal_lines(X3,X1)
| convergent_lines(X3,X2)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(60,plain,
( convergent_lines(X3,X1)
| convergent_lines(X3,X2)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[56]) ).
fof(61,plain,
! [X1,X2,X6] :
( ~ convergent_lines(X1,X2)
| distinct_lines(X2,X6)
| convergent_lines(X1,X6) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(62,plain,
! [X7,X8,X9] :
( ~ convergent_lines(X7,X8)
| distinct_lines(X8,X9)
| convergent_lines(X7,X9) ),
inference(variable_rename,[status(thm)],[61]) ).
cnf(63,plain,
( convergent_lines(X1,X2)
| distinct_lines(X3,X2)
| ~ convergent_lines(X1,X3) ),
inference(split_conjunct,[status(thm)],[62]) ).
fof(76,plain,
! [X3,X4] :
( convergent_lines(X3,X4)
| unorthogonal_lines(X3,X4) ),
inference(fof_nnf,[status(thm)],[26]) ).
fof(77,plain,
! [X5,X6] :
( convergent_lines(X5,X6)
| unorthogonal_lines(X5,X6) ),
inference(variable_rename,[status(thm)],[76]) ).
cnf(78,plain,
( unorthogonal_lines(X1,X2)
| convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[77]) ).
fof(79,plain,
! [X3,X4,X5] :
( unorthogonal_lines(X3,X4)
| unorthogonal_lines(X3,X5)
| ~ convergent_lines(X4,X5) ),
inference(fof_nnf,[status(thm)],[27]) ).
fof(80,plain,
! [X6,X7,X8] :
( unorthogonal_lines(X6,X7)
| unorthogonal_lines(X6,X8)
| ~ convergent_lines(X7,X8) ),
inference(variable_rename,[status(thm)],[79]) ).
cnf(81,plain,
( unorthogonal_lines(X3,X2)
| unorthogonal_lines(X3,X1)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[80]) ).
fof(87,plain,
! [X3,X4] : ~ convergent_lines(parallel_through_point(X4,X3),X4),
inference(variable_rename,[status(thm)],[29]) ).
cnf(88,plain,
~ convergent_lines(parallel_through_point(X1,X2),X1),
inference(split_conjunct,[status(thm)],[87]) ).
fof(91,plain,
! [X2] : ~ convergent_lines(X2,X2),
inference(variable_rename,[status(thm)],[31]) ).
cnf(92,plain,
~ convergent_lines(X1,X1),
inference(split_conjunct,[status(thm)],[91]) ).
fof(93,plain,
! [X8,X9] : ~ unorthogonal_lines(orthogonal_through_point(X9,X8),X9),
inference(variable_rename,[status(thm)],[32]) ).
cnf(94,plain,
~ unorthogonal_lines(orthogonal_through_point(X1,X2),X1),
inference(split_conjunct,[status(thm)],[93]) ).
fof(99,negated_conjecture,
? [X7,X3] : ~ equal_lines(parallel_through_point(X3,X7),orthogonal_through_point(orthogonal_through_point(X3,X7),X7)),
inference(fof_nnf,[status(thm)],[23]) ).
fof(100,negated_conjecture,
? [X8,X9] : ~ equal_lines(parallel_through_point(X9,X8),orthogonal_through_point(orthogonal_through_point(X9,X8),X8)),
inference(variable_rename,[status(thm)],[99]) ).
fof(101,negated_conjecture,
~ equal_lines(parallel_through_point(esk2_0,esk1_0),orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0)),
inference(skolemize,[status(esa)],[100]) ).
cnf(102,negated_conjecture,
~ equal_lines(parallel_through_point(esk2_0,esk1_0),orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0)),
inference(split_conjunct,[status(thm)],[101]) ).
cnf(103,plain,
convergent_lines(orthogonal_through_point(X1,X2),X1),
inference(spm,[status(thm)],[94,78,theory(equality)]) ).
cnf(105,negated_conjecture,
distinct_lines(parallel_through_point(esk2_0,esk1_0),orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0)),
inference(spm,[status(thm)],[102,36,theory(equality)]) ).
cnf(116,plain,
( convergent_lines(orthogonal_through_point(X1,X2),X3)
| distinct_lines(X1,X3) ),
inference(spm,[status(thm)],[63,103,theory(equality)]) ).
cnf(118,plain,
( unorthogonal_lines(X1,orthogonal_through_point(X2,X3))
| unorthogonal_lines(X1,X2) ),
inference(spm,[status(thm)],[81,103,theory(equality)]) ).
cnf(119,negated_conjecture,
convergent_lines(parallel_through_point(esk2_0,esk1_0),orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0)),
inference(spm,[status(thm)],[47,105,theory(equality)]) ).
cnf(123,negated_conjecture,
( convergent_lines(orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0),X1)
| convergent_lines(parallel_through_point(esk2_0,esk1_0),X1) ),
inference(spm,[status(thm)],[50,119,theory(equality)]) ).
cnf(125,plain,
distinct_lines(X1,orthogonal_through_point(X1,X2)),
inference(spm,[status(thm)],[92,116,theory(equality)]) ).
cnf(129,plain,
convergent_lines(X1,orthogonal_through_point(X1,X2)),
inference(spm,[status(thm)],[47,125,theory(equality)]) ).
cnf(140,plain,
unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(X1,X2),X3),X1),
inference(spm,[status(thm)],[94,118,theory(equality)]) ).
cnf(147,plain,
( convergent_lines(X1,orthogonal_through_point(orthogonal_through_point(X2,X3),X4))
| convergent_lines(X1,X2)
| ~ convergent_lines(orthogonal_through_point(orthogonal_through_point(X2,X3),X4),X2) ),
inference(spm,[status(thm)],[60,140,theory(equality)]) ).
cnf(151,plain,
( unorthogonal_lines(X1,X2)
| convergent_lines(orthogonal_through_point(orthogonal_through_point(X1,X3),X4),X2)
| ~ convergent_lines(orthogonal_through_point(orthogonal_through_point(X1,X3),X4),X1) ),
inference(spm,[status(thm)],[43,140,theory(equality)]) ).
cnf(856,negated_conjecture,
( convergent_lines(X1,orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0))
| convergent_lines(X1,esk2_0)
| convergent_lines(parallel_through_point(esk2_0,esk1_0),esk2_0) ),
inference(spm,[status(thm)],[147,123,theory(equality)]) ).
cnf(880,negated_conjecture,
( convergent_lines(X1,orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0))
| convergent_lines(X1,esk2_0) ),
inference(sr,[status(thm)],[856,88,theory(equality)]) ).
cnf(881,negated_conjecture,
convergent_lines(orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0),esk2_0),
inference(spm,[status(thm)],[92,880,theory(equality)]) ).
cnf(893,negated_conjecture,
( convergent_lines(orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0),X1)
| distinct_lines(esk2_0,X1) ),
inference(spm,[status(thm)],[63,881,theory(equality)]) ).
cnf(900,negated_conjecture,
distinct_lines(esk2_0,orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0)),
inference(spm,[status(thm)],[92,893,theory(equality)]) ).
cnf(912,negated_conjecture,
convergent_lines(esk2_0,orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0)),
inference(spm,[status(thm)],[47,900,theory(equality)]) ).
cnf(1104,negated_conjecture,
( unorthogonal_lines(esk2_0,X1)
| convergent_lines(orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0),X1) ),
inference(spm,[status(thm)],[151,881,theory(equality)]) ).
cnf(1146,negated_conjecture,
unorthogonal_lines(esk2_0,orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0)),
inference(spm,[status(thm)],[92,1104,theory(equality)]) ).
cnf(1171,negated_conjecture,
( unorthogonal_lines(esk2_0,X1)
| unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0),X1)
| ~ convergent_lines(esk2_0,orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0)) ),
inference(spm,[status(thm)],[41,1146,theory(equality)]) ).
cnf(1182,negated_conjecture,
( unorthogonal_lines(esk2_0,X1)
| unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0),X1)
| $false ),
inference(rw,[status(thm)],[1171,912,theory(equality)]) ).
cnf(1183,negated_conjecture,
( unorthogonal_lines(esk2_0,X1)
| unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0),X1) ),
inference(cn,[status(thm)],[1182,theory(equality)]) ).
cnf(1253,negated_conjecture,
unorthogonal_lines(esk2_0,orthogonal_through_point(esk2_0,esk1_0)),
inference(spm,[status(thm)],[94,1183,theory(equality)]) ).
cnf(1261,negated_conjecture,
( unorthogonal_lines(X1,esk2_0)
| convergent_lines(X1,orthogonal_through_point(esk2_0,esk1_0))
| ~ convergent_lines(esk2_0,orthogonal_through_point(esk2_0,esk1_0)) ),
inference(spm,[status(thm)],[58,1253,theory(equality)]) ).
cnf(1268,negated_conjecture,
( unorthogonal_lines(X1,esk2_0)
| convergent_lines(X1,orthogonal_through_point(esk2_0,esk1_0))
| $false ),
inference(rw,[status(thm)],[1261,129,theory(equality)]) ).
cnf(1269,negated_conjecture,
( unorthogonal_lines(X1,esk2_0)
| convergent_lines(X1,orthogonal_through_point(esk2_0,esk1_0)) ),
inference(cn,[status(thm)],[1268,theory(equality)]) ).
cnf(1299,negated_conjecture,
unorthogonal_lines(orthogonal_through_point(esk2_0,esk1_0),esk2_0),
inference(spm,[status(thm)],[92,1269,theory(equality)]) ).
cnf(1316,negated_conjecture,
$false,
inference(sr,[status(thm)],[1299,94,theory(equality)]) ).
cnf(1317,negated_conjecture,
$false,
1316,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO223+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/tmp4Vr4Sb/sel_GEO223+3.p_1 with time limit 29
% -prover status Theorem
% Problem GEO223+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO223+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO223+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
%
%------------------------------------------------------------------------------