TSTP Solution File: SWV204+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWV204+1 : TPTP v5.0.0. Bugfixed v3.3.0.
% 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 : Sun Dec 26 12:23:49 EST 2010
% Result : Theorem 0.21s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 3
% Syntax : Number of formulae : 39 ( 11 unt; 0 def)
% Number of atoms : 376 ( 248 equ)
% Maximal formula atoms : 66 ( 9 avg)
% Number of connectives : 419 ( 82 ~; 96 |; 227 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 37 ( 9 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 16 con; 0-3 aty)
% Number of variables : 37 ( 0 sgn 34 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(46,axiom,
! [X1] :
( ( leq(n0,X1)
& leq(X1,n2) )
=> ( X1 = n0
| X1 = n1
| X1 = n2 ) ),
file('/tmp/tmpKPyfcG/sel_SWV204+1.p_1',finite_domain_2) ).
fof(48,conjecture,
( ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& ! [X4,X5] :
( ( leq(n0,X4)
& leq(n0,X5)
& leq(X4,n2)
& leq(X5,n998) )
=> a_select3(u_defuse,X4,X5) = use )
& ! [X6,X7] :
( ( leq(n0,X6)
& leq(n0,X7)
& leq(X6,n2)
& leq(X7,n998) )
=> a_select3(z_defuse,X6,X7) = use ) )
=> ! [X8] :
( ( leq(n0,X8)
& leq(X8,n2) )
=> a_select2(rho_defuse,X8) = use ) ),
file('/tmp/tmpKPyfcG/sel_SWV204+1.p_1',quaternion_ds1_inuse_0015) ).
fof(65,negated_conjecture,
~ ( ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& ! [X4,X5] :
( ( leq(n0,X4)
& leq(n0,X5)
& leq(X4,n2)
& leq(X5,n998) )
=> a_select3(u_defuse,X4,X5) = use )
& ! [X6,X7] :
( ( leq(n0,X6)
& leq(n0,X7)
& leq(X6,n2)
& leq(X7,n998) )
=> a_select3(z_defuse,X6,X7) = use ) )
=> ! [X8] :
( ( leq(n0,X8)
& leq(X8,n2) )
=> a_select2(rho_defuse,X8) = use ) ),
inference(assume_negation,[status(cth)],[48]) ).
fof(67,plain,
( epred1_0
=> ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& ! [X4,X5] :
( ( leq(n0,X4)
& leq(n0,X5)
& leq(X4,n2)
& leq(X5,n998) )
=> a_select3(u_defuse,X4,X5) = use )
& ! [X6,X7] :
( ( leq(n0,X6)
& leq(n0,X7)
& leq(X6,n2)
& leq(X7,n998) )
=> a_select3(z_defuse,X6,X7) = use ) ) ),
introduced(definition) ).
fof(68,negated_conjecture,
~ ( epred1_0
=> ! [X8] :
( ( leq(n0,X8)
& leq(X8,n2) )
=> a_select2(rho_defuse,X8) = use ) ),
inference(apply_def,[status(esa)],[65,67,theory(equality)]) ).
fof(150,plain,
! [X1] :
( ~ leq(n0,X1)
| ~ leq(X1,n2)
| X1 = n0
| X1 = n1
| X1 = n2 ),
inference(fof_nnf,[status(thm)],[46]) ).
fof(151,plain,
! [X2] :
( ~ leq(n0,X2)
| ~ leq(X2,n2)
| X2 = n0
| X2 = n1
| X2 = n2 ),
inference(variable_rename,[status(thm)],[150]) ).
cnf(152,plain,
( X1 = n2
| X1 = n1
| X1 = n0
| ~ leq(X1,n2)
| ~ leq(n0,X1) ),
inference(split_conjunct,[status(thm)],[151]) ).
fof(156,negated_conjecture,
( epred1_0
& ? [X8] :
( leq(n0,X8)
& leq(X8,n2)
& a_select2(rho_defuse,X8) != use ) ),
inference(fof_nnf,[status(thm)],[68]) ).
fof(157,negated_conjecture,
( epred1_0
& ? [X9] :
( leq(n0,X9)
& leq(X9,n2)
& a_select2(rho_defuse,X9) != use ) ),
inference(variable_rename,[status(thm)],[156]) ).
fof(158,negated_conjecture,
( epred1_0
& leq(n0,esk1_0)
& leq(esk1_0,n2)
& a_select2(rho_defuse,esk1_0) != use ),
inference(skolemize,[status(esa)],[157]) ).
cnf(159,negated_conjecture,
a_select2(rho_defuse,esk1_0) != use,
inference(split_conjunct,[status(thm)],[158]) ).
cnf(160,negated_conjecture,
leq(esk1_0,n2),
inference(split_conjunct,[status(thm)],[158]) ).
cnf(161,negated_conjecture,
leq(n0,esk1_0),
inference(split_conjunct,[status(thm)],[158]) ).
cnf(162,negated_conjecture,
epred1_0,
inference(split_conjunct,[status(thm)],[158]) ).
fof(183,plain,
( ~ epred1_0
| ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& ! [X4,X5] :
( ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X4,n2)
| ~ leq(X5,n998)
| a_select3(u_defuse,X4,X5) = use )
& ! [X6,X7] :
( ~ leq(n0,X6)
| ~ leq(n0,X7)
| ~ leq(X6,n2)
| ~ leq(X7,n998)
| a_select3(z_defuse,X6,X7) = use ) ) ),
inference(fof_nnf,[status(thm)],[67]) ).
fof(184,plain,
( ~ epred1_0
| ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& ! [X8,X9] :
( ~ leq(n0,X8)
| ~ leq(n0,X9)
| ~ leq(X8,n2)
| ~ leq(X9,n998)
| a_select3(u_defuse,X8,X9) = use )
& ! [X10,X11] :
( ~ leq(n0,X10)
| ~ leq(n0,X11)
| ~ leq(X10,n2)
| ~ leq(X11,n998)
| a_select3(z_defuse,X10,X11) = use ) ) ),
inference(variable_rename,[status(thm)],[183]) ).
fof(185,plain,
! [X8,X9,X10,X11] :
( ( ( ~ leq(n0,X10)
| ~ leq(n0,X11)
| ~ leq(X10,n2)
| ~ leq(X11,n998)
| a_select3(z_defuse,X10,X11) = use )
& ( ~ leq(n0,X8)
| ~ leq(n0,X9)
| ~ leq(X8,n2)
| ~ leq(X9,n998)
| a_select3(u_defuse,X8,X9) = use )
& a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use )
| ~ epred1_0 ),
inference(shift_quantors,[status(thm)],[184]) ).
fof(186,plain,
! [X8,X9,X10,X11] :
( ( ~ leq(n0,X10)
| ~ leq(n0,X11)
| ~ leq(X10,n2)
| ~ leq(X11,n998)
| a_select3(z_defuse,X10,X11) = use
| ~ epred1_0 )
& ( ~ leq(n0,X8)
| ~ leq(n0,X9)
| ~ leq(X8,n2)
| ~ leq(X9,n998)
| a_select3(u_defuse,X8,X9) = use
| ~ epred1_0 )
& ( a_select2(rho_defuse,n0) = use
| ~ epred1_0 )
& ( a_select2(rho_defuse,n1) = use
| ~ epred1_0 )
& ( a_select2(rho_defuse,n2) = use
| ~ epred1_0 )
& ( a_select2(sigma_defuse,n0) = use
| ~ epred1_0 )
& ( a_select2(sigma_defuse,n1) = use
| ~ epred1_0 )
& ( a_select2(sigma_defuse,n2) = use
| ~ epred1_0 )
& ( a_select2(sigma_defuse,n3) = use
| ~ epred1_0 )
& ( a_select2(sigma_defuse,n4) = use
| ~ epred1_0 )
& ( a_select2(sigma_defuse,n5) = use
| ~ epred1_0 )
& ( a_select3(u_defuse,n0,n0) = use
| ~ epred1_0 )
& ( a_select3(u_defuse,n1,n0) = use
| ~ epred1_0 )
& ( a_select3(u_defuse,n2,n0) = use
| ~ epred1_0 )
& ( a_select2(xinit_defuse,n3) = use
| ~ epred1_0 )
& ( a_select2(xinit_defuse,n4) = use
| ~ epred1_0 )
& ( a_select2(xinit_defuse,n5) = use
| ~ epred1_0 )
& ( a_select2(xinit_mean_defuse,n0) = use
| ~ epred1_0 )
& ( a_select2(xinit_mean_defuse,n1) = use
| ~ epred1_0 )
& ( a_select2(xinit_mean_defuse,n2) = use
| ~ epred1_0 )
& ( a_select2(xinit_mean_defuse,n3) = use
| ~ epred1_0 )
& ( a_select2(xinit_mean_defuse,n4) = use
| ~ epred1_0 )
& ( a_select2(xinit_mean_defuse,n5) = use
| ~ epred1_0 )
& ( a_select2(xinit_noise_defuse,n0) = use
| ~ epred1_0 )
& ( a_select2(xinit_noise_defuse,n1) = use
| ~ epred1_0 )
& ( a_select2(xinit_noise_defuse,n2) = use
| ~ epred1_0 )
& ( a_select2(xinit_noise_defuse,n3) = use
| ~ epred1_0 )
& ( a_select2(xinit_noise_defuse,n4) = use
| ~ epred1_0 )
& ( a_select2(xinit_noise_defuse,n5) = use
| ~ epred1_0 ) ),
inference(distribute,[status(thm)],[185]) ).
cnf(211,plain,
( a_select2(rho_defuse,n2) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[186]) ).
cnf(212,plain,
( a_select2(rho_defuse,n1) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[186]) ).
cnf(213,plain,
( a_select2(rho_defuse,n0) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[186]) ).
cnf(238,plain,
( a_select2(rho_defuse,n0) = use
| $false ),
inference(rw,[status(thm)],[213,162,theory(equality)]) ).
cnf(239,plain,
a_select2(rho_defuse,n0) = use,
inference(cn,[status(thm)],[238,theory(equality)]) ).
cnf(240,plain,
( a_select2(rho_defuse,n2) = use
| $false ),
inference(rw,[status(thm)],[211,162,theory(equality)]) ).
cnf(241,plain,
a_select2(rho_defuse,n2) = use,
inference(cn,[status(thm)],[240,theory(equality)]) ).
cnf(242,plain,
( a_select2(rho_defuse,n1) = use
| $false ),
inference(rw,[status(thm)],[212,162,theory(equality)]) ).
cnf(243,plain,
a_select2(rho_defuse,n1) = use,
inference(cn,[status(thm)],[242,theory(equality)]) ).
cnf(331,negated_conjecture,
( n2 = esk1_0
| n0 = esk1_0
| n1 = esk1_0
| ~ leq(n0,esk1_0) ),
inference(spm,[status(thm)],[152,160,theory(equality)]) ).
cnf(589,negated_conjecture,
( esk1_0 = n1
| esk1_0 = n0
| esk1_0 = n2 ),
inference(spm,[status(thm)],[331,161,theory(equality)]) ).
cnf(598,negated_conjecture,
( esk1_0 = n0
| esk1_0 = n1
| a_select2(rho_defuse,n2) != use ),
inference(spm,[status(thm)],[159,589,theory(equality)]) ).
cnf(604,negated_conjecture,
( esk1_0 = n0
| esk1_0 = n1
| $false ),
inference(rw,[status(thm)],[598,241,theory(equality)]) ).
cnf(605,negated_conjecture,
( esk1_0 = n0
| esk1_0 = n1 ),
inference(cn,[status(thm)],[604,theory(equality)]) ).
cnf(610,negated_conjecture,
( esk1_0 = n1
| a_select2(rho_defuse,n0) != use ),
inference(spm,[status(thm)],[159,605,theory(equality)]) ).
cnf(616,negated_conjecture,
( esk1_0 = n1
| $false ),
inference(rw,[status(thm)],[610,239,theory(equality)]) ).
cnf(617,negated_conjecture,
esk1_0 = n1,
inference(cn,[status(thm)],[616,theory(equality)]) ).
cnf(656,negated_conjecture,
$false,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[159,617,theory(equality)]),243,theory(equality)]) ).
cnf(657,negated_conjecture,
$false,
inference(cn,[status(thm)],[656,theory(equality)]) ).
cnf(658,negated_conjecture,
$false,
657,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWV/SWV204+1.p
% --creating new selector for [SWV003+0.ax]
% -running prover on /tmp/tmpKPyfcG/sel_SWV204+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWV204+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWV/SWV204+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWV/SWV204+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
%
%------------------------------------------------------------------------------