TSTP Solution File: GEO278+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO278+1 : TPTP v5.0.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art04.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 09:16:29 EST 2010
% Result : Theorem 2.22s
% Output : CNFRefutation 2.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 4
% Syntax : Number of formulae : 29 ( 9 unt; 0 def)
% Number of atoms : 126 ( 36 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 175 ( 78 ~; 71 |; 23 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 58 ( 0 sgn 28 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(4,axiom,
( ron(vd1096,vd1102)
& rcenter(vd1089,vd1102)
& rcircle(vd1102) ),
file('/tmp/tmpOmDtRc/sel_GEO278+1.p_1','and(pred(comma_conjunct2(the(231)), 0), and(pred(comma_conjunct1(the(231)), 0), pred(the(231), 0)))') ).
fof(8,conjecture,
! [X38] :
( ( ron(vd1096,X38)
& rcenter(vd1089,X38)
& rcircle(X38) )
=> X38 = vd1102 ),
file('/tmp/tmpOmDtRc/sel_GEO278+1.p_1','qu(theu(the(231), 1), imp(the(231)))') ).
fof(30,axiom,
! [X193,X194,X195,X196,X197] :
( ( vf(X195,X193) = vf(X195,X194)
& ron(X194,X197)
& ron(X193,X196)
& rcenter(X195,X197)
& rcenter(X195,X196)
& ? [X198] :
( X194 = X198
& rpoint(X198) )
& ? [X199] :
( X193 = X199
& rpoint(X199) ) )
=> X196 = X197 ),
file('/tmp/tmpOmDtRc/sel_GEO278+1.p_1','qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))') ).
fof(103,axiom,
rpoint(vd1096),
file('/tmp/tmpOmDtRc/sel_GEO278+1.p_1','pred(229, 0)') ).
fof(126,negated_conjecture,
~ ! [X38] :
( ( ron(vd1096,X38)
& rcenter(vd1089,X38)
& rcircle(X38) )
=> X38 = vd1102 ),
inference(assume_negation,[status(cth)],[8]) ).
cnf(184,plain,
rcenter(vd1089,vd1102),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(185,plain,
ron(vd1096,vd1102),
inference(split_conjunct,[status(thm)],[4]) ).
fof(196,negated_conjecture,
? [X38] :
( ron(vd1096,X38)
& rcenter(vd1089,X38)
& rcircle(X38)
& X38 != vd1102 ),
inference(fof_nnf,[status(thm)],[126]) ).
fof(197,negated_conjecture,
? [X39] :
( ron(vd1096,X39)
& rcenter(vd1089,X39)
& rcircle(X39)
& X39 != vd1102 ),
inference(variable_rename,[status(thm)],[196]) ).
fof(198,negated_conjecture,
( ron(vd1096,esk4_0)
& rcenter(vd1089,esk4_0)
& rcircle(esk4_0)
& esk4_0 != vd1102 ),
inference(skolemize,[status(esa)],[197]) ).
cnf(199,negated_conjecture,
esk4_0 != vd1102,
inference(split_conjunct,[status(thm)],[198]) ).
cnf(201,negated_conjecture,
rcenter(vd1089,esk4_0),
inference(split_conjunct,[status(thm)],[198]) ).
cnf(202,negated_conjecture,
ron(vd1096,esk4_0),
inference(split_conjunct,[status(thm)],[198]) ).
fof(348,plain,
! [X193,X194,X195,X196,X197] :
( vf(X195,X193) != vf(X195,X194)
| ~ ron(X194,X197)
| ~ ron(X193,X196)
| ~ rcenter(X195,X197)
| ~ rcenter(X195,X196)
| ! [X198] :
( X194 != X198
| ~ rpoint(X198) )
| ! [X199] :
( X193 != X199
| ~ rpoint(X199) )
| X196 = X197 ),
inference(fof_nnf,[status(thm)],[30]) ).
fof(349,plain,
! [X200,X201,X202,X203,X204] :
( vf(X202,X200) != vf(X202,X201)
| ~ ron(X201,X204)
| ~ ron(X200,X203)
| ~ rcenter(X202,X204)
| ~ rcenter(X202,X203)
| ! [X205] :
( X201 != X205
| ~ rpoint(X205) )
| ! [X206] :
( X200 != X206
| ~ rpoint(X206) )
| X203 = X204 ),
inference(variable_rename,[status(thm)],[348]) ).
fof(350,plain,
! [X200,X201,X202,X203,X204,X205,X206] :
( X200 != X206
| ~ rpoint(X206)
| X201 != X205
| ~ rpoint(X205)
| vf(X202,X200) != vf(X202,X201)
| ~ ron(X201,X204)
| ~ ron(X200,X203)
| ~ rcenter(X202,X204)
| ~ rcenter(X202,X203)
| X203 = X204 ),
inference(shift_quantors,[status(thm)],[349]) ).
cnf(351,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)],[350]) ).
cnf(704,plain,
rpoint(vd1096),
inference(split_conjunct,[status(thm)],[103]) ).
cnf(1090,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)],[351,theory(equality)]) ).
cnf(1091,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)],[1090,theory(equality)]) ).
cnf(3118,plain,
( X1 = vd1102
| vf(vd1089,X2) != vf(vd1089,X3)
| ~ rcenter(vd1089,X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ ron(X3,vd1102)
| ~ ron(X2,X1) ),
inference(spm,[status(thm)],[1091,184,theory(equality)]) ).
cnf(22254,negated_conjecture,
( esk4_0 = vd1102
| vf(vd1089,X1) != vf(vd1089,X2)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X2,vd1102)
| ~ ron(X1,esk4_0) ),
inference(spm,[status(thm)],[3118,201,theory(equality)]) ).
cnf(22256,negated_conjecture,
( vf(vd1089,X1) != vf(vd1089,X2)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X2,vd1102)
| ~ ron(X1,esk4_0) ),
inference(sr,[status(thm)],[22254,199,theory(equality)]) ).
cnf(22313,negated_conjecture,
( ~ rpoint(X1)
| ~ ron(X1,vd1102)
| ~ ron(X1,esk4_0) ),
inference(er,[status(thm)],[22256,theory(equality)]) ).
cnf(22382,negated_conjecture,
( ~ rpoint(vd1096)
| ~ ron(vd1096,vd1102) ),
inference(spm,[status(thm)],[22313,202,theory(equality)]) ).
cnf(22414,negated_conjecture,
( $false
| ~ ron(vd1096,vd1102) ),
inference(rw,[status(thm)],[22382,704,theory(equality)]) ).
cnf(22415,negated_conjecture,
( $false
| $false ),
inference(rw,[status(thm)],[22414,185,theory(equality)]) ).
cnf(22416,negated_conjecture,
$false,
inference(cn,[status(thm)],[22415,theory(equality)]) ).
cnf(22417,negated_conjecture,
$false,
22416,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO278+1.p
% --creating new selector for []
% -running prover on /tmp/tmpOmDtRc/sel_GEO278+1.p_1 with time limit 29
% -prover status Theorem
% Problem GEO278+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO278+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO278+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
%
%------------------------------------------------------------------------------