TSTP Solution File: GEO147+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO147+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 08:36:40 EST 2010
% Result : Theorem 0.18s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 32 ( 7 unt; 0 def)
% Number of atoms : 75 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 76 ( 33 ~; 25 |; 13 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 50 ( 4 sgn 29 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(3,axiom,
! [X2,X4,X3] :
( connect(X2,X4,X3)
<=> once(at_the_same_time(at(X2,X3),at(X4,X3))) ),
file('/tmp/tmpQ5IEVT/sel_GEO147+1.p_1',connect_defn) ).
fof(7,axiom,
! [X1,X10] :
( once(at_the_same_time(X1,X10))
=> ( once(X1)
& once(X10) ) ),
file('/tmp/tmpQ5IEVT/sel_GEO147+1.p_1',conjunction_at_the_same_time) ).
fof(10,axiom,
! [X2,X3] :
( once(at(X2,X3))
<=> incident_o(X3,trajectory_of(X2)) ),
file('/tmp/tmpQ5IEVT/sel_GEO147+1.p_1',at_on_trajectory) ).
fof(12,conjecture,
! [X3,X2,X4] :
( connect(X2,X4,X3)
=> ( incident_o(X3,trajectory_of(X2))
& incident_o(X3,trajectory_of(X4)) ) ),
file('/tmp/tmpQ5IEVT/sel_GEO147+1.p_1',t13) ).
fof(13,negated_conjecture,
~ ! [X3,X2,X4] :
( connect(X2,X4,X3)
=> ( incident_o(X3,trajectory_of(X2))
& incident_o(X3,trajectory_of(X4)) ) ),
inference(assume_negation,[status(cth)],[12]) ).
fof(22,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(23,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)],[22]) ).
cnf(25,plain,
( once(at_the_same_time(at(X1,X2),at(X3,X2)))
| ~ connect(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[23]) ).
fof(36,plain,
! [X1,X10] :
( ~ once(at_the_same_time(X1,X10))
| ( once(X1)
& once(X10) ) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(37,plain,
! [X11,X12] :
( ~ once(at_the_same_time(X11,X12))
| ( once(X11)
& once(X12) ) ),
inference(variable_rename,[status(thm)],[36]) ).
fof(38,plain,
! [X11,X12] :
( ( once(X11)
| ~ once(at_the_same_time(X11,X12)) )
& ( once(X12)
| ~ once(at_the_same_time(X11,X12)) ) ),
inference(distribute,[status(thm)],[37]) ).
cnf(39,plain,
( once(X2)
| ~ once(at_the_same_time(X1,X2)) ),
inference(split_conjunct,[status(thm)],[38]) ).
cnf(40,plain,
( once(X1)
| ~ once(at_the_same_time(X1,X2)) ),
inference(split_conjunct,[status(thm)],[38]) ).
fof(51,plain,
! [X2,X3] :
( ( ~ once(at(X2,X3))
| incident_o(X3,trajectory_of(X2)) )
& ( ~ incident_o(X3,trajectory_of(X2))
| once(at(X2,X3)) ) ),
inference(fof_nnf,[status(thm)],[10]) ).
fof(52,plain,
! [X4,X5] :
( ( ~ once(at(X4,X5))
| incident_o(X5,trajectory_of(X4)) )
& ( ~ incident_o(X5,trajectory_of(X4))
| once(at(X4,X5)) ) ),
inference(variable_rename,[status(thm)],[51]) ).
cnf(54,plain,
( incident_o(X1,trajectory_of(X2))
| ~ once(at(X2,X1)) ),
inference(split_conjunct,[status(thm)],[52]) ).
fof(60,negated_conjecture,
? [X3,X2,X4] :
( connect(X2,X4,X3)
& ( ~ incident_o(X3,trajectory_of(X2))
| ~ incident_o(X3,trajectory_of(X4)) ) ),
inference(fof_nnf,[status(thm)],[13]) ).
fof(61,negated_conjecture,
? [X5,X6,X7] :
( connect(X6,X7,X5)
& ( ~ incident_o(X5,trajectory_of(X6))
| ~ incident_o(X5,trajectory_of(X7)) ) ),
inference(variable_rename,[status(thm)],[60]) ).
fof(62,negated_conjecture,
( connect(esk6_0,esk7_0,esk5_0)
& ( ~ incident_o(esk5_0,trajectory_of(esk6_0))
| ~ incident_o(esk5_0,trajectory_of(esk7_0)) ) ),
inference(skolemize,[status(esa)],[61]) ).
cnf(63,negated_conjecture,
( ~ incident_o(esk5_0,trajectory_of(esk7_0))
| ~ incident_o(esk5_0,trajectory_of(esk6_0)) ),
inference(split_conjunct,[status(thm)],[62]) ).
cnf(64,negated_conjecture,
connect(esk6_0,esk7_0,esk5_0),
inference(split_conjunct,[status(thm)],[62]) ).
cnf(67,negated_conjecture,
( ~ incident_o(esk5_0,trajectory_of(esk7_0))
| ~ once(at(esk6_0,esk5_0)) ),
inference(spm,[status(thm)],[63,54,theory(equality)]) ).
cnf(73,plain,
( once(at(X1,X2))
| ~ connect(X3,X1,X2) ),
inference(spm,[status(thm)],[39,25,theory(equality)]) ).
cnf(74,plain,
( once(at(X1,X2))
| ~ connect(X1,X3,X2) ),
inference(spm,[status(thm)],[40,25,theory(equality)]) ).
cnf(94,negated_conjecture,
( ~ once(at(esk6_0,esk5_0))
| ~ once(at(esk7_0,esk5_0)) ),
inference(spm,[status(thm)],[67,54,theory(equality)]) ).
cnf(113,negated_conjecture,
once(at(esk7_0,esk5_0)),
inference(spm,[status(thm)],[73,64,theory(equality)]) ).
cnf(114,negated_conjecture,
once(at(esk6_0,esk5_0)),
inference(spm,[status(thm)],[74,64,theory(equality)]) ).
cnf(121,negated_conjecture,
( ~ once(at(esk6_0,esk5_0))
| $false ),
inference(rw,[status(thm)],[94,113,theory(equality)]) ).
cnf(122,negated_conjecture,
~ once(at(esk6_0,esk5_0)),
inference(cn,[status(thm)],[121,theory(equality)]) ).
cnf(131,negated_conjecture,
$false,
inference(rw,[status(thm)],[122,114,theory(equality)]) ).
cnf(132,negated_conjecture,
$false,
inference(cn,[status(thm)],[131,theory(equality)]) ).
cnf(133,negated_conjecture,
$false,
132,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO147+1.p
% --creating new selector for [GEO004+3.ax, GEO004+0.ax, GEO004+1.ax, GEO004+2.ax]
% -running prover on /tmp/tmpQ5IEVT/sel_GEO147+1.p_1 with time limit 29
% -prover status Theorem
% Problem GEO147+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO147+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO147+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
%
%------------------------------------------------------------------------------