TSTP Solution File: GEO305+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO305+1 : TPTP v5.0.0. Released v4.1.0.
% 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 09:24:30 EST 2010
% Result : Theorem 0.68s
% Output : CNFRefutation 0.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 7
% Syntax : Number of formulae : 44 ( 23 unt; 0 def)
% Number of atoms : 196 ( 51 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 266 ( 114 ~; 111 |; 40 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-2 aty)
% Number of variables : 73 ( 0 sgn 29 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(27,conjecture,
ron(vd1302,vd1297),
file('/tmp/tmpZ6SM_4/sel_GEO305+1.p_1','pred(conjunct2(349), 0)') ).
fof(48,axiom,
( vd1302 = vd1303
& rR(vd1289,vd1287,vd1302)
& rpoint(vd1303)
& rR(vd1288,vd1287,vd1299) ),
file('/tmp/tmpZ6SM_4/sel_GEO305+1.p_1','and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))') ).
fof(51,axiom,
ron(vd1287,vd1297),
file('/tmp/tmpZ6SM_4/sel_GEO305+1.p_1','pred(s1(plural(347)), 0)') ).
fof(63,axiom,
( vf(vd1287,vd1288) = vf(vd1287,vd1289)
& vd1288 != vd1289
& vd1287 != vd1289
& vd1287 != vd1288
& ? [X460] :
( vd1289 = X460
& rpoint(X460) )
& ? [X461] :
( vd1288 = X461
& rpoint(X461) )
& ? [X462] :
( vd1287 = X462
& rpoint(X462) ) ),
file('/tmp/tmpZ6SM_4/sel_GEO305+1.p_1','and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))') ).
fof(79,axiom,
ron(vd1289,vd1297),
file('/tmp/tmpZ6SM_4/sel_GEO305+1.p_1','pred(s2(plural(347)), 0)') ).
fof(94,axiom,
rline(vd1297),
file('/tmp/tmpZ6SM_4/sel_GEO305+1.p_1','pred(347, 0)') ).
fof(103,axiom,
! [X669,X670,X671,X672,X673] :
( ( X672 = X673
& ron(X670,X672)
& ron(X669,X672)
& rR(X670,X669,X671)
& rline(X673)
& ? [X674] :
( X671 = X674
& rpoint(X674) )
& ? [X675] :
( X670 = X675
& rpoint(X675) )
& ? [X676] :
( X669 = X676
& rpoint(X676) ) )
=> ron(X671,X672) ),
file('/tmp/tmpZ6SM_4/sel_GEO305+1.p_1','qu(cond(axiom(83), 0), imp(cond(axiom(83), 0)))') ).
fof(117,negated_conjecture,
~ ron(vd1302,vd1297),
inference(assume_negation,[status(cth)],[27]) ).
fof(128,negated_conjecture,
~ ron(vd1302,vd1297),
inference(fof_simplification,[status(thm)],[117,theory(equality)]) ).
cnf(333,negated_conjecture,
~ ron(vd1302,vd1297),
inference(split_conjunct,[status(thm)],[128]) ).
cnf(449,plain,
rpoint(vd1303),
inference(split_conjunct,[status(thm)],[48]) ).
cnf(450,plain,
rR(vd1289,vd1287,vd1302),
inference(split_conjunct,[status(thm)],[48]) ).
cnf(451,plain,
vd1302 = vd1303,
inference(split_conjunct,[status(thm)],[48]) ).
cnf(459,plain,
ron(vd1287,vd1297),
inference(split_conjunct,[status(thm)],[51]) ).
fof(514,plain,
( vf(vd1287,vd1288) = vf(vd1287,vd1289)
& vd1288 != vd1289
& vd1287 != vd1289
& vd1287 != vd1288
& ? [X463] :
( vd1289 = X463
& rpoint(X463) )
& ? [X464] :
( vd1288 = X464
& rpoint(X464) )
& ? [X465] :
( vd1287 = X465
& rpoint(X465) ) ),
inference(variable_rename,[status(thm)],[63]) ).
fof(515,plain,
( vf(vd1287,vd1288) = vf(vd1287,vd1289)
& vd1288 != vd1289
& vd1287 != vd1289
& vd1287 != vd1288
& vd1289 = esk28_0
& rpoint(esk28_0)
& vd1288 = esk29_0
& rpoint(esk29_0)
& vd1287 = esk30_0
& rpoint(esk30_0) ),
inference(skolemize,[status(esa)],[514]) ).
cnf(516,plain,
rpoint(esk30_0),
inference(split_conjunct,[status(thm)],[515]) ).
cnf(517,plain,
vd1287 = esk30_0,
inference(split_conjunct,[status(thm)],[515]) ).
cnf(520,plain,
rpoint(esk28_0),
inference(split_conjunct,[status(thm)],[515]) ).
cnf(521,plain,
vd1289 = esk28_0,
inference(split_conjunct,[status(thm)],[515]) ).
cnf(603,plain,
ron(vd1289,vd1297),
inference(split_conjunct,[status(thm)],[79]) ).
cnf(681,plain,
rline(vd1297),
inference(split_conjunct,[status(thm)],[94]) ).
fof(726,plain,
! [X669,X670,X671,X672,X673] :
( X672 != X673
| ~ ron(X670,X672)
| ~ ron(X669,X672)
| ~ rR(X670,X669,X671)
| ~ rline(X673)
| ! [X674] :
( X671 != X674
| ~ rpoint(X674) )
| ! [X675] :
( X670 != X675
| ~ rpoint(X675) )
| ! [X676] :
( X669 != X676
| ~ rpoint(X676) )
| ron(X671,X672) ),
inference(fof_nnf,[status(thm)],[103]) ).
fof(727,plain,
! [X677,X678,X679,X680,X681] :
( X680 != X681
| ~ ron(X678,X680)
| ~ ron(X677,X680)
| ~ rR(X678,X677,X679)
| ~ rline(X681)
| ! [X682] :
( X679 != X682
| ~ rpoint(X682) )
| ! [X683] :
( X678 != X683
| ~ rpoint(X683) )
| ! [X684] :
( X677 != X684
| ~ rpoint(X684) )
| ron(X679,X680) ),
inference(variable_rename,[status(thm)],[726]) ).
fof(728,plain,
! [X677,X678,X679,X680,X681,X682,X683,X684] :
( X677 != X684
| ~ rpoint(X684)
| X678 != X683
| ~ rpoint(X683)
| X679 != X682
| ~ rpoint(X682)
| X680 != X681
| ~ ron(X678,X680)
| ~ ron(X677,X680)
| ~ rR(X678,X677,X679)
| ~ rline(X681)
| ron(X679,X680) ),
inference(shift_quantors,[status(thm)],[727]) ).
cnf(729,plain,
( ron(X1,X2)
| ~ rline(X3)
| ~ rR(X4,X5,X1)
| ~ ron(X5,X2)
| ~ ron(X4,X2)
| X2 != X3
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X4 != X7
| ~ rpoint(X8)
| X5 != X8 ),
inference(split_conjunct,[status(thm)],[728]) ).
cnf(796,plain,
rpoint(vd1302),
inference(rw,[status(thm)],[449,451,theory(equality)]) ).
cnf(797,plain,
rpoint(vd1289),
inference(rw,[status(thm)],[520,521,theory(equality)]) ).
cnf(799,plain,
rpoint(vd1287),
inference(rw,[status(thm)],[516,517,theory(equality)]) ).
cnf(1097,plain,
( ron(X1,X2)
| X3 != X4
| X2 != X5
| X1 != X6
| ~ rR(X3,X7,X1)
| ~ rline(X5)
| ~ rpoint(X7)
| ~ rpoint(X4)
| ~ rpoint(X6)
| ~ ron(X7,X2)
| ~ ron(X3,X2) ),
inference(er,[status(thm)],[729,theory(equality)]) ).
cnf(1098,plain,
( ron(X1,X2)
| X2 != X3
| X1 != X4
| ~ rR(X5,X6,X1)
| ~ rline(X3)
| ~ rpoint(X6)
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ ron(X6,X2)
| ~ ron(X5,X2) ),
inference(er,[status(thm)],[1097,theory(equality)]) ).
cnf(1099,plain,
( ron(X1,X2)
| X1 != X3
| ~ rR(X4,X5,X1)
| ~ rline(X2)
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ ron(X5,X2)
| ~ ron(X4,X2) ),
inference(er,[status(thm)],[1098,theory(equality)]) ).
cnf(1100,plain,
( ron(X1,X2)
| ~ rR(X3,X4,X1)
| ~ rline(X2)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ ron(X4,X2)
| ~ ron(X3,X2) ),
inference(er,[status(thm)],[1099,theory(equality)]) ).
cnf(3290,plain,
( ron(vd1302,X1)
| ~ rline(X1)
| ~ rpoint(vd1287)
| ~ rpoint(vd1289)
| ~ rpoint(vd1302)
| ~ ron(vd1287,X1)
| ~ ron(vd1289,X1) ),
inference(spm,[status(thm)],[1100,450,theory(equality)]) ).
cnf(3296,plain,
( ron(vd1302,X1)
| ~ rline(X1)
| $false
| ~ rpoint(vd1289)
| ~ rpoint(vd1302)
| ~ ron(vd1287,X1)
| ~ ron(vd1289,X1) ),
inference(rw,[status(thm)],[3290,799,theory(equality)]) ).
cnf(3297,plain,
( ron(vd1302,X1)
| ~ rline(X1)
| $false
| $false
| ~ rpoint(vd1302)
| ~ ron(vd1287,X1)
| ~ ron(vd1289,X1) ),
inference(rw,[status(thm)],[3296,797,theory(equality)]) ).
cnf(3298,plain,
( ron(vd1302,X1)
| ~ rline(X1)
| $false
| $false
| $false
| ~ ron(vd1287,X1)
| ~ ron(vd1289,X1) ),
inference(rw,[status(thm)],[3297,796,theory(equality)]) ).
cnf(3299,plain,
( ron(vd1302,X1)
| ~ rline(X1)
| ~ ron(vd1287,X1)
| ~ ron(vd1289,X1) ),
inference(cn,[status(thm)],[3298,theory(equality)]) ).
cnf(3338,plain,
( ron(vd1302,vd1297)
| ~ ron(vd1287,vd1297)
| ~ ron(vd1289,vd1297) ),
inference(spm,[status(thm)],[3299,681,theory(equality)]) ).
cnf(3341,plain,
( ron(vd1302,vd1297)
| $false
| ~ ron(vd1289,vd1297) ),
inference(rw,[status(thm)],[3338,459,theory(equality)]) ).
cnf(3342,plain,
( ron(vd1302,vd1297)
| $false
| $false ),
inference(rw,[status(thm)],[3341,603,theory(equality)]) ).
cnf(3343,plain,
ron(vd1302,vd1297),
inference(cn,[status(thm)],[3342,theory(equality)]) ).
cnf(3344,plain,
$false,
inference(sr,[status(thm)],[3343,333,theory(equality)]) ).
cnf(3345,plain,
$false,
3344,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO305+1.p
% --creating new selector for []
% -running prover on /tmp/tmpZ6SM_4/sel_GEO305+1.p_1 with time limit 29
% -prover status Theorem
% Problem GEO305+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO305+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO305+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
%
%------------------------------------------------------------------------------