TSTP Solution File: SWV155+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWV155+1 : TPTP v5.0.0. Bugfixed v3.3.0.
% 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 : Sun Dec 26 12:20:13 EST 2010
% Result : Theorem 0.19s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 2
% Syntax : Number of formulae : 20 ( 10 unt; 0 def)
% Number of atoms : 110 ( 36 equ)
% Maximal formula atoms : 15 ( 5 avg)
% Number of connectives : 126 ( 36 ~; 22 |; 58 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 12 con; 0-3 aty)
% Number of variables : 21 ( 0 sgn 16 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(22,axiom,
! [X1] : minus(X1,n1) = pred(X1),
file('/tmp/tmpOeAbgy/sel_SWV155+1.p_1',pred_minus_1) ).
fof(61,conjecture,
( ( pv70 = sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))
& leq(n0,pv10)
& leq(n0,pv12)
& leq(pv10,n135299)
& leq(pv12,n4)
& ! [X5] :
( ( leq(n0,X5)
& leq(X5,pred(pv12)) )
=> a_select3(q,pv10,X5) = divide(sqrt(times(minus(a_select3(center,X5,n0),a_select2(x,pv10)),minus(a_select3(center,X5,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) )
& ! [X6] :
( ( leq(n0,X6)
& leq(X6,pred(pv10)) )
=> sum(n0,n4,a_select3(q,X6,tptp_sum_index)) = n1 ) )
=> ! [X7] :
( ( leq(n0,X7)
& leq(X7,pred(pv10)) )
=> ( pv10 != X7
=> sum(n0,n4,a_select3(q,X7,tptp_sum_index)) = n1 ) ) ),
file('/tmp/tmpOeAbgy/sel_SWV155+1.p_1',cl5_nebula_norm_0005) ).
fof(70,negated_conjecture,
~ ( ( pv70 = sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))
& leq(n0,pv10)
& leq(n0,pv12)
& leq(pv10,n135299)
& leq(pv12,n4)
& ! [X5] :
( ( leq(n0,X5)
& leq(X5,pred(pv12)) )
=> a_select3(q,pv10,X5) = divide(sqrt(times(minus(a_select3(center,X5,n0),a_select2(x,pv10)),minus(a_select3(center,X5,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) )
& ! [X6] :
( ( leq(n0,X6)
& leq(X6,pred(pv10)) )
=> sum(n0,n4,a_select3(q,X6,tptp_sum_index)) = n1 ) )
=> ! [X7] :
( ( leq(n0,X7)
& leq(X7,pred(pv10)) )
=> ( pv10 != X7
=> sum(n0,n4,a_select3(q,X7,tptp_sum_index)) = n1 ) ) ),
inference(assume_negation,[status(cth)],[61]) ).
fof(120,plain,
! [X2] : minus(X2,n1) = pred(X2),
inference(variable_rename,[status(thm)],[22]) ).
cnf(121,plain,
minus(X1,n1) = pred(X1),
inference(split_conjunct,[status(thm)],[120]) ).
fof(185,negated_conjecture,
( pv70 = sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))
& leq(n0,pv10)
& leq(n0,pv12)
& leq(pv10,n135299)
& leq(pv12,n4)
& ! [X5] :
( ~ leq(n0,X5)
| ~ leq(X5,pred(pv12))
| a_select3(q,pv10,X5) = divide(sqrt(times(minus(a_select3(center,X5,n0),a_select2(x,pv10)),minus(a_select3(center,X5,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) )
& ! [X6] :
( ~ leq(n0,X6)
| ~ leq(X6,pred(pv10))
| sum(n0,n4,a_select3(q,X6,tptp_sum_index)) = n1 )
& ? [X7] :
( leq(n0,X7)
& leq(X7,pred(pv10))
& pv10 != X7
& sum(n0,n4,a_select3(q,X7,tptp_sum_index)) != n1 ) ),
inference(fof_nnf,[status(thm)],[70]) ).
fof(186,negated_conjecture,
( pv70 = sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))
& leq(n0,pv10)
& leq(n0,pv12)
& leq(pv10,n135299)
& leq(pv12,n4)
& ! [X8] :
( ~ leq(n0,X8)
| ~ leq(X8,pred(pv12))
| a_select3(q,pv10,X8) = divide(sqrt(times(minus(a_select3(center,X8,n0),a_select2(x,pv10)),minus(a_select3(center,X8,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) )
& ! [X9] :
( ~ leq(n0,X9)
| ~ leq(X9,pred(pv10))
| sum(n0,n4,a_select3(q,X9,tptp_sum_index)) = n1 )
& ? [X10] :
( leq(n0,X10)
& leq(X10,pred(pv10))
& pv10 != X10
& sum(n0,n4,a_select3(q,X10,tptp_sum_index)) != n1 ) ),
inference(variable_rename,[status(thm)],[185]) ).
fof(187,negated_conjecture,
( pv70 = sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))
& leq(n0,pv10)
& leq(n0,pv12)
& leq(pv10,n135299)
& leq(pv12,n4)
& ! [X8] :
( ~ leq(n0,X8)
| ~ leq(X8,pred(pv12))
| a_select3(q,pv10,X8) = divide(sqrt(times(minus(a_select3(center,X8,n0),a_select2(x,pv10)),minus(a_select3(center,X8,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) )
& ! [X9] :
( ~ leq(n0,X9)
| ~ leq(X9,pred(pv10))
| sum(n0,n4,a_select3(q,X9,tptp_sum_index)) = n1 )
& leq(n0,esk1_0)
& leq(esk1_0,pred(pv10))
& pv10 != esk1_0
& sum(n0,n4,a_select3(q,esk1_0,tptp_sum_index)) != n1 ),
inference(skolemize,[status(esa)],[186]) ).
fof(188,negated_conjecture,
! [X8,X9] :
( ( ~ leq(n0,X9)
| ~ leq(X9,pred(pv10))
| sum(n0,n4,a_select3(q,X9,tptp_sum_index)) = n1 )
& ( ~ leq(n0,X8)
| ~ leq(X8,pred(pv12))
| a_select3(q,pv10,X8) = divide(sqrt(times(minus(a_select3(center,X8,n0),a_select2(x,pv10)),minus(a_select3(center,X8,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) )
& pv70 = sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))
& leq(n0,pv10)
& leq(n0,pv12)
& leq(pv10,n135299)
& leq(pv12,n4)
& leq(n0,esk1_0)
& leq(esk1_0,pred(pv10))
& pv10 != esk1_0
& sum(n0,n4,a_select3(q,esk1_0,tptp_sum_index)) != n1 ),
inference(shift_quantors,[status(thm)],[187]) ).
cnf(189,negated_conjecture,
sum(n0,n4,a_select3(q,esk1_0,tptp_sum_index)) != n1,
inference(split_conjunct,[status(thm)],[188]) ).
cnf(191,negated_conjecture,
leq(esk1_0,pred(pv10)),
inference(split_conjunct,[status(thm)],[188]) ).
cnf(192,negated_conjecture,
leq(n0,esk1_0),
inference(split_conjunct,[status(thm)],[188]) ).
cnf(199,negated_conjecture,
( sum(n0,n4,a_select3(q,X1,tptp_sum_index)) = n1
| ~ leq(X1,pred(pv10))
| ~ leq(n0,X1) ),
inference(split_conjunct,[status(thm)],[188]) ).
cnf(234,negated_conjecture,
leq(esk1_0,minus(pv10,n1)),
inference(rw,[status(thm)],[191,121,theory(equality)]),
[unfolding] ).
cnf(237,negated_conjecture,
( sum(n0,n4,a_select3(q,X1,tptp_sum_index)) = n1
| ~ leq(n0,X1)
| ~ leq(X1,minus(pv10,n1)) ),
inference(rw,[status(thm)],[199,121,theory(equality)]),
[unfolding] ).
cnf(304,negated_conjecture,
( ~ leq(esk1_0,minus(pv10,n1))
| ~ leq(n0,esk1_0) ),
inference(spm,[status(thm)],[189,237,theory(equality)]) ).
cnf(305,negated_conjecture,
( $false
| ~ leq(n0,esk1_0) ),
inference(rw,[status(thm)],[304,234,theory(equality)]) ).
cnf(306,negated_conjecture,
~ leq(n0,esk1_0),
inference(cn,[status(thm)],[305,theory(equality)]) ).
cnf(454,negated_conjecture,
$false,
inference(sr,[status(thm)],[192,306,theory(equality)]) ).
cnf(455,negated_conjecture,
$false,
454,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWV/SWV155+1.p
% --creating new selector for [SWV003+0.ax]
% -running prover on /tmp/tmpOeAbgy/sel_SWV155+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWV155+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWV/SWV155+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWV/SWV155+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
%
%------------------------------------------------------------------------------