TSTP Solution File: GEO148+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO148+1 : TPTP v5.0.0. Released v2.4.0.
% 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 08:36:57 EST 2010
% Result : Theorem 0.17s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 3
% Syntax : Number of formulae : 25 ( 6 unt; 0 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 77 ( 32 ~; 21 |; 16 &)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 64 ( 0 sgn 42 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(3,axiom,
! [X2,X4,X3] :
( connect(X2,X4,X3)
<=> once(at_the_same_time(at(X2,X3),at(X4,X3))) ),
file('/tmp/tmpG2Ogb-/sel_GEO148+1.p_1',connect_defn) ).
fof(4,axiom,
! [X5,X6,X7,X8,X2,X4] :
( ( once(at_the_same_time(at(X2,X5),at(X4,X6)))
& once(at_the_same_time(at(X2,X7),at(X4,X8))) )
=> ~ ( ordered_by(trajectory_of(X2),X5,X7)
& ordered_by(trajectory_of(X4),X8,X6) ) ),
file('/tmp/tmpG2Ogb-/sel_GEO148+1.p_1',homogeneous_behaviour) ).
fof(12,conjecture,
! [X3,X2,X4] :
( connect(X2,X4,X3)
=> ! [X7,X8] :
( ( ordered_by(trajectory_of(X4),X8,X3)
& ordered_by(trajectory_of(X2),X3,X7) )
=> ~ once(at_the_same_time(at(X2,X7),at(X4,X8))) ) ),
file('/tmp/tmpG2Ogb-/sel_GEO148+1.p_1',t14) ).
fof(13,negated_conjecture,
~ ! [X3,X2,X4] :
( connect(X2,X4,X3)
=> ! [X7,X8] :
( ( ordered_by(trajectory_of(X4),X8,X3)
& ordered_by(trajectory_of(X2),X3,X7) )
=> ~ once(at_the_same_time(at(X2,X7),at(X4,X8))) ) ),
inference(assume_negation,[status(cth)],[12]) ).
fof(14,negated_conjecture,
~ ! [X3,X2,X4] :
( connect(X2,X4,X3)
=> ! [X7,X8] :
( ( ordered_by(trajectory_of(X4),X8,X3)
& ordered_by(trajectory_of(X2),X3,X7) )
=> ~ once(at_the_same_time(at(X2,X7),at(X4,X8))) ) ),
inference(fof_simplification,[status(thm)],[13,theory(equality)]) ).
fof(23,plain,
! [X2,X4,X3] :
( ( ~ connect(X2,X4,X3)
| once(at_the_same_time(at(X2,X3),at(X4,X3))) )
& ( ~ once(at_the_same_time(at(X2,X3),at(X4,X3)))
| connect(X2,X4,X3) ) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(24,plain,
! [X5,X6,X7] :
( ( ~ connect(X5,X6,X7)
| once(at_the_same_time(at(X5,X7),at(X6,X7))) )
& ( ~ once(at_the_same_time(at(X5,X7),at(X6,X7)))
| connect(X5,X6,X7) ) ),
inference(variable_rename,[status(thm)],[23]) ).
cnf(26,plain,
( once(at_the_same_time(at(X1,X2),at(X3,X2)))
| ~ connect(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[24]) ).
fof(27,plain,
! [X5,X6,X7,X8,X2,X4] :
( ~ once(at_the_same_time(at(X2,X5),at(X4,X6)))
| ~ once(at_the_same_time(at(X2,X7),at(X4,X8)))
| ~ ordered_by(trajectory_of(X2),X5,X7)
| ~ ordered_by(trajectory_of(X4),X8,X6) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(28,plain,
! [X9,X10,X11,X12,X13,X14] :
( ~ once(at_the_same_time(at(X13,X9),at(X14,X10)))
| ~ once(at_the_same_time(at(X13,X11),at(X14,X12)))
| ~ ordered_by(trajectory_of(X13),X9,X11)
| ~ ordered_by(trajectory_of(X14),X12,X10) ),
inference(variable_rename,[status(thm)],[27]) ).
cnf(29,plain,
( ~ ordered_by(trajectory_of(X1),X2,X3)
| ~ ordered_by(trajectory_of(X4),X5,X6)
| ~ once(at_the_same_time(at(X4,X6),at(X1,X2)))
| ~ once(at_the_same_time(at(X4,X5),at(X1,X3))) ),
inference(split_conjunct,[status(thm)],[28]) ).
fof(61,negated_conjecture,
? [X3,X2,X4] :
( connect(X2,X4,X3)
& ? [X7,X8] :
( ordered_by(trajectory_of(X4),X8,X3)
& ordered_by(trajectory_of(X2),X3,X7)
& once(at_the_same_time(at(X2,X7),at(X4,X8))) ) ),
inference(fof_nnf,[status(thm)],[14]) ).
fof(62,negated_conjecture,
? [X9,X10,X11] :
( connect(X10,X11,X9)
& ? [X12,X13] :
( ordered_by(trajectory_of(X11),X13,X9)
& ordered_by(trajectory_of(X10),X9,X12)
& once(at_the_same_time(at(X10,X12),at(X11,X13))) ) ),
inference(variable_rename,[status(thm)],[61]) ).
fof(63,negated_conjecture,
( connect(esk6_0,esk7_0,esk5_0)
& ordered_by(trajectory_of(esk7_0),esk9_0,esk5_0)
& ordered_by(trajectory_of(esk6_0),esk5_0,esk8_0)
& once(at_the_same_time(at(esk6_0,esk8_0),at(esk7_0,esk9_0))) ),
inference(skolemize,[status(esa)],[62]) ).
cnf(64,negated_conjecture,
once(at_the_same_time(at(esk6_0,esk8_0),at(esk7_0,esk9_0))),
inference(split_conjunct,[status(thm)],[63]) ).
cnf(65,negated_conjecture,
ordered_by(trajectory_of(esk6_0),esk5_0,esk8_0),
inference(split_conjunct,[status(thm)],[63]) ).
cnf(66,negated_conjecture,
ordered_by(trajectory_of(esk7_0),esk9_0,esk5_0),
inference(split_conjunct,[status(thm)],[63]) ).
cnf(67,negated_conjecture,
connect(esk6_0,esk7_0,esk5_0),
inference(split_conjunct,[status(thm)],[63]) ).
cnf(93,negated_conjecture,
( ~ ordered_by(trajectory_of(esk6_0),X1,esk8_0)
| ~ ordered_by(trajectory_of(esk7_0),esk9_0,X2)
| ~ once(at_the_same_time(at(esk6_0,X1),at(esk7_0,X2))) ),
inference(spm,[status(thm)],[29,64,theory(equality)]) ).
cnf(121,negated_conjecture,
( ~ ordered_by(trajectory_of(esk6_0),X1,esk8_0)
| ~ ordered_by(trajectory_of(esk7_0),esk9_0,X1)
| ~ connect(esk6_0,esk7_0,X1) ),
inference(spm,[status(thm)],[93,26,theory(equality)]) ).
cnf(122,negated_conjecture,
( ~ ordered_by(trajectory_of(esk7_0),esk9_0,esk5_0)
| ~ connect(esk6_0,esk7_0,esk5_0) ),
inference(spm,[status(thm)],[121,65,theory(equality)]) ).
cnf(123,negated_conjecture,
( $false
| ~ connect(esk6_0,esk7_0,esk5_0) ),
inference(rw,[status(thm)],[122,66,theory(equality)]) ).
cnf(124,negated_conjecture,
( $false
| $false ),
inference(rw,[status(thm)],[123,67,theory(equality)]) ).
cnf(125,negated_conjecture,
$false,
inference(cn,[status(thm)],[124,theory(equality)]) ).
cnf(126,negated_conjecture,
$false,
125,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO148+1.p
% --creating new selector for [GEO004+3.ax, GEO004+0.ax, GEO004+1.ax, GEO004+2.ax]
% -running prover on /tmp/tmpG2Ogb-/sel_GEO148+1.p_1 with time limit 29
% -prover status Theorem
% Problem GEO148+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO148+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO148+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
%
%------------------------------------------------------------------------------