TSTP Solution File: GEO275+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO275+1 : TPTP v5.0.0. Released v4.1.0.
% 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 09:15:40 EST 2010
% Result : Theorem 1.71s
% Output : CNFRefutation 1.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 4
% Syntax : Number of formulae : 33 ( 10 unt; 0 def)
% Number of atoms : 133 ( 40 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 178 ( 78 ~; 71 |; 26 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 60 ( 0 sgn 28 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(27,axiom,
! [X204,X205,X206,X207,X208] :
( ( vf(X206,X204) = vf(X206,X205)
& ron(X205,X208)
& ron(X204,X207)
& rcenter(X206,X208)
& rcenter(X206,X207)
& ? [X209] :
( X205 = X209
& rpoint(X209) )
& ? [X210] :
( X204 = X210
& rpoint(X210) ) )
=> X207 = X208 ),
file('/tmp/tmpHsH3O0/sel_GEO275+1.p_1','qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))') ).
fof(41,conjecture,
! [X222] :
( ( ron(vd1081,X222)
& rcenter(vd1080,X222)
& rcircle(X222) )
=> X222 = vd1095 ),
file('/tmp/tmpHsH3O0/sel_GEO275+1.p_1','qu(theu(the(228), 1), imp(the(228)))') ).
fof(95,axiom,
( ron(vd1081,vd1095)
& rcenter(vd1080,vd1095)
& rcircle(vd1095) ),
file('/tmp/tmpHsH3O0/sel_GEO275+1.p_1','and(pred(comma_conjunct2(the(228)), 0), and(pred(comma_conjunct1(the(228)), 0), pred(the(228), 0)))') ).
fof(107,axiom,
? [X688] :
( vd1081 = X688
& rpoint(X688) ),
file('/tmp/tmpHsH3O0/sel_GEO275+1.p_1','qe(s2(plural(224)))') ).
fof(116,negated_conjecture,
~ ! [X222] :
( ( ron(vd1081,X222)
& rcenter(vd1080,X222)
& rcircle(X222) )
=> X222 = vd1095 ),
inference(assume_negation,[status(cth)],[41]) ).
fof(328,plain,
! [X204,X205,X206,X207,X208] :
( vf(X206,X204) != vf(X206,X205)
| ~ ron(X205,X208)
| ~ ron(X204,X207)
| ~ rcenter(X206,X208)
| ~ rcenter(X206,X207)
| ! [X209] :
( X205 != X209
| ~ rpoint(X209) )
| ! [X210] :
( X204 != X210
| ~ rpoint(X210) )
| X207 = X208 ),
inference(fof_nnf,[status(thm)],[27]) ).
fof(329,plain,
! [X211,X212,X213,X214,X215] :
( vf(X213,X211) != vf(X213,X212)
| ~ ron(X212,X215)
| ~ ron(X211,X214)
| ~ rcenter(X213,X215)
| ~ rcenter(X213,X214)
| ! [X216] :
( X212 != X216
| ~ rpoint(X216) )
| ! [X217] :
( X211 != X217
| ~ rpoint(X217) )
| X214 = X215 ),
inference(variable_rename,[status(thm)],[328]) ).
fof(330,plain,
! [X211,X212,X213,X214,X215,X216,X217] :
( X211 != X217
| ~ rpoint(X217)
| X212 != X216
| ~ rpoint(X216)
| vf(X213,X211) != vf(X213,X212)
| ~ ron(X212,X215)
| ~ ron(X211,X214)
| ~ rcenter(X213,X215)
| ~ rcenter(X213,X214)
| X214 = X215 ),
inference(shift_quantors,[status(thm)],[329]) ).
cnf(331,plain,
( X1 = X2
| ~ rcenter(X3,X1)
| ~ rcenter(X3,X2)
| ~ ron(X4,X1)
| ~ ron(X5,X2)
| vf(X3,X4) != vf(X3,X5)
| ~ rpoint(X6)
| X5 != X6
| ~ rpoint(X7)
| X4 != X7 ),
inference(split_conjunct,[status(thm)],[330]) ).
fof(400,negated_conjecture,
? [X222] :
( ron(vd1081,X222)
& rcenter(vd1080,X222)
& rcircle(X222)
& X222 != vd1095 ),
inference(fof_nnf,[status(thm)],[116]) ).
fof(401,negated_conjecture,
? [X223] :
( ron(vd1081,X223)
& rcenter(vd1080,X223)
& rcircle(X223)
& X223 != vd1095 ),
inference(variable_rename,[status(thm)],[400]) ).
fof(402,negated_conjecture,
( ron(vd1081,esk22_0)
& rcenter(vd1080,esk22_0)
& rcircle(esk22_0)
& esk22_0 != vd1095 ),
inference(skolemize,[status(esa)],[401]) ).
cnf(403,negated_conjecture,
esk22_0 != vd1095,
inference(split_conjunct,[status(thm)],[402]) ).
cnf(405,negated_conjecture,
rcenter(vd1080,esk22_0),
inference(split_conjunct,[status(thm)],[402]) ).
cnf(406,negated_conjecture,
ron(vd1081,esk22_0),
inference(split_conjunct,[status(thm)],[402]) ).
cnf(680,plain,
rcenter(vd1080,vd1095),
inference(split_conjunct,[status(thm)],[95]) ).
cnf(681,plain,
ron(vd1081,vd1095),
inference(split_conjunct,[status(thm)],[95]) ).
fof(739,plain,
? [X689] :
( vd1081 = X689
& rpoint(X689) ),
inference(variable_rename,[status(thm)],[107]) ).
fof(740,plain,
( vd1081 = esk48_0
& rpoint(esk48_0) ),
inference(skolemize,[status(esa)],[739]) ).
cnf(741,plain,
rpoint(esk48_0),
inference(split_conjunct,[status(thm)],[740]) ).
cnf(742,plain,
vd1081 = esk48_0,
inference(split_conjunct,[status(thm)],[740]) ).
cnf(784,plain,
rpoint(vd1081),
inference(rw,[status(thm)],[741,742,theory(equality)]) ).
cnf(1047,plain,
( X1 = X2
| vf(X3,X4) != vf(X3,X5)
| X4 != X6
| ~ rcenter(X3,X2)
| ~ rcenter(X3,X1)
| ~ rpoint(X6)
| ~ rpoint(X5)
| ~ ron(X5,X2)
| ~ ron(X4,X1) ),
inference(er,[status(thm)],[331,theory(equality)]) ).
cnf(1048,plain,
( X1 = X2
| vf(X3,X4) != vf(X3,X5)
| ~ rcenter(X3,X2)
| ~ rcenter(X3,X1)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ ron(X5,X2)
| ~ ron(X4,X1) ),
inference(er,[status(thm)],[1047,theory(equality)]) ).
cnf(2788,plain,
( X1 = vd1095
| vf(vd1080,X2) != vf(vd1080,X3)
| ~ rcenter(vd1080,X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ ron(X3,vd1095)
| ~ ron(X2,X1) ),
inference(spm,[status(thm)],[1048,680,theory(equality)]) ).
cnf(16451,negated_conjecture,
( esk22_0 = vd1095
| vf(vd1080,X1) != vf(vd1080,X2)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X2,vd1095)
| ~ ron(X1,esk22_0) ),
inference(spm,[status(thm)],[2788,405,theory(equality)]) ).
cnf(16453,negated_conjecture,
( vf(vd1080,X1) != vf(vd1080,X2)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X2,vd1095)
| ~ ron(X1,esk22_0) ),
inference(sr,[status(thm)],[16451,403,theory(equality)]) ).
cnf(16504,negated_conjecture,
( ~ rpoint(X1)
| ~ ron(X1,vd1095)
| ~ ron(X1,esk22_0) ),
inference(er,[status(thm)],[16453,theory(equality)]) ).
cnf(16571,negated_conjecture,
( ~ rpoint(vd1081)
| ~ ron(vd1081,vd1095) ),
inference(spm,[status(thm)],[16504,406,theory(equality)]) ).
cnf(16603,negated_conjecture,
( $false
| ~ ron(vd1081,vd1095) ),
inference(rw,[status(thm)],[16571,784,theory(equality)]) ).
cnf(16604,negated_conjecture,
( $false
| $false ),
inference(rw,[status(thm)],[16603,681,theory(equality)]) ).
cnf(16605,negated_conjecture,
$false,
inference(cn,[status(thm)],[16604,theory(equality)]) ).
cnf(16606,negated_conjecture,
$false,
16605,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO275+1.p
% --creating new selector for []
% -running prover on /tmp/tmpHsH3O0/sel_GEO275+1.p_1 with time limit 29
% -prover status Theorem
% Problem GEO275+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO275+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO275+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
%
%------------------------------------------------------------------------------