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FDP---0.9.16.SAT-Ass.s

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%------------------------------------------------------------------------------
% File     : FDP---0.9.16
% Problem  : GRP123-7.005 : TPTP v5.0.0. Released v1.2.0.
% Transfm  : add_equality
% Format   : protein
% Command  : fdp-casc %s %d

% Computer : art05.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 Jan  9 03:48:25 EST 2011

% Result   : Satisfiable 11.16s
% Output   : Assurance 11.16s
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% FDPLL - A First-Order Davis-Putnam Theorem Prover
% Version 0.9.16 (26/06/2002)
% Proving /tmp/GRP123-7.005+noeq ...
% Done.
% Input File...............: /tmp/GRP123-7.005+noeq.tme
% System...................: Linux art05.cs.miami.edu 2.6.26.8-57.fc8 #1 SMP Thu Dec 18 19:19:45 EST 2008 i686 i686 i386 GNU/Linux
% Automatic mode...........: on
% Time limit...............: 300 seconds
% Current restart interval.: off
% Restart with =-axioms....: off
% Initial interpretation...: [+(_150893)]
% Clause set type..........: Non-Horn, without equality
% Equality transformation..: off
% Non-constant functions...: no
% Term depth settings......: 3/2 (Init/Increment)
% unit_extend..............: on
% splitting type...........: exact
% Final tree statistics:
% Tree for clause set......: as initially given
% # Restarts...............: 0
% Term depth limit.........: 3
% # Splits.................: 38
% # Commits................: 8
% # Unit extension steps...: 292
% # Unit back subsumptions.: 0
% # Branches closed........: 0
% # Level cuts.............: 0
% Time.....................: 10.92 seconds.
% Result...................: SATISFIABLE with model:
%   +(product2(e_1, e_1, e_1))
%   +(product2(e_2, e_2, e_2))
%   +(product2(e_3, e_3, e_3))
%   +(product2(e_4, e_4, e_4))
%   +(product1(e_1, e_1, e_1))
%   +(product1(e_2, e_2, e_2))
%   +(product1(e_3, e_3, e_3))
%   +(product1(e_4, e_4, e_4))
%   -(product2(e_5, e_4, e_4))
%   -(product2(e_4, e_5, e_5))
%   -(product2(e_4, e_5, e_4))
%   -(product2(e_5, e_4, e_5))
%   -(product2(e_4, e_4, e_5))
%   -(product2(e_5, e_5, e_4))
%   -(product1(e_5, e_4, e_4))
%   -(product1(e_4, e_5, e_5))
%   -(product1(e_4, e_5, e_4))
%   -(product1(e_5, e_4, e_5))
%   -(product1(e_4, e_4, e_5))
%   -(product1(e_5, e_5, e_4))
%   -(product2(e_5, e_3, e_3))
%   -(product2(e_3, e_5, e_5))
%   -(product2(e_3, e_5, e_3))
%   -(product2(e_5, e_3, e_5))
%   -(product2(e_3, e_3, e_5))
%   -(product2(e_5, e_5, e_3))
%   -(product1(e_5, e_3, e_3))
%   -(product1(e_3, e_5, e_5))
%   -(product1(e_3, e_5, e_3))
%   -(product1(e_5, e_3, e_5))
%   -(product1(e_3, e_3, e_5))
%   -(product1(e_5, e_5, e_3))
%   -(product2(e_4, e_3, e_3))
%   -(product2(e_3, e_4, e_4))
%   -(product2(e_3, e_4, e_3))
%   -(product2(e_4, e_3, e_4))
%   -(product2(e_3, e_3, e_4))
%   -(product2(e_4, e_4, e_3))
%   -(product1(e_4, e_3, e_3))
%   -(product1(e_3, e_4, e_4))
%   -(product1(e_3, e_4, e_3))
%   -(product1(e_4, e_3, e_4))
%   -(product1(e_3, e_3, e_4))
%   -(product1(e_4, e_4, e_3))
%   -(product2(e_5, e_2, e_2))
%   -(product2(e_2, e_5, e_5))
%   -(product2(e_2, e_5, e_2))
%   -(product2(e_5, e_2, e_5))
%   -(product2(e_2, e_2, e_5))
%   -(product2(e_5, e_5, e_2))
%   -(product1(e_5, e_2, e_2))
%   -(product1(e_2, e_5, e_5))
%   -(product1(e_2, e_5, e_2))
%   -(product1(e_5, e_2, e_5))
%   -(product1(e_2, e_2, e_5))
%   -(product1(e_5, e_5, e_2))
%   -(product2(e_4, e_2, e_2))
%   -(product2(e_2, e_4, e_4))
%   -(product2(e_2, e_4, e_2))
%   -(product2(e_4, e_2, e_4))
%   -(product2(e_2, e_2, e_4))
%   -(product2(e_4, e_4, e_2))
%   -(product1(e_4, e_2, e_2))
%   -(product1(e_2, e_4, e_4))
%   -(product1(e_2, e_4, e_2))
%   -(product1(e_4, e_2, e_4))
%   -(product1(e_2, e_2, e_4))
%   -(product1(e_4, e_4, e_2))
%   -(product2(e_3, e_2, e_2))
%   -(product2(e_2, e_3, e_3))
%   -(product2(e_2, e_3, e_2))
%   -(product2(e_3, e_2, e_3))
%   -(product2(e_2, e_2, e_3))
%   -(product2(e_3, e_3, e_2))
%   -(product1(e_3, e_2, e_2))
%   -(product1(e_2, e_3, e_3))
%   -(product1(e_2, e_3, e_2))
%   -(product1(e_3, e_2, e_3))
%   -(product1(e_2, e_2, e_3))
%   -(product1(e_3, e_3, e_2))
%   -(product2(e_5, e_1, e_1))
%   -(product2(e_1, e_5, e_5))
%   -(product2(e_1, e_5, e_1))
%   -(product2(e_5, e_1, e_5))
%   -(product2(e_1, e_1, e_5))
%   -(product2(e_5, e_5, e_1))
%   -(product1(e_5, e_1, e_1))
%   -(product1(e_1, e_5, e_5))
%   -(product1(e_1, e_5, e_1))
%   -(product1(e_5, e_1, e_5))
%   -(product1(e_1, e_1, e_5))
%   -(product1(e_5, e_5, e_1))
%   -(product2(e_4, e_1, e_1))
%   -(product2(e_1, e_4, e_4))
%   -(product2(e_1, e_4, e_1))
%   -(product2(e_4, e_1, e_4))
%   -(product2(e_1, e_1, e_4))
%   -(product2(e_4, e_4, e_1))
%   -(product1(e_4, e_1, e_1))
%   -(product1(e_1, e_4, e_4))
%   -(product1(e_1, e_4, e_1))
%   -(product1(e_4, e_1, e_4))
%   -(product1(e_1, e_1, e_4))
%   -(product1(e_4, e_4, e_1))
%   -(product2(e_3, e_1, e_1))
%   -(product2(e_1, e_3, e_3))
%   -(product2(e_1, e_3, e_1))
%   -(product2(e_3, e_1, e_3))
%   -(product2(e_1, e_1, e_3))
%   -(product2(e_3, e_3, e_1))
%   -(product1(e_3, e_1, e_1))
%   -(product1(e_1, e_3, e_3))
%   -(product1(e_1, e_3, e_1))
%   -(product1(e_3, e_1, e_3))
%   -(product1(e_1, e_1, e_3))
%   -(product1(e_3, e_3, e_1))
%   -(product2(e_2, e_1, e_1))
%   -(product2(e_1, e_2, e_2))
%   -(product2(e_1, e_2, e_1))
%   -(product2(e_2, e_1, e_2))
%   -(product2(e_1, e_1, e_2))
%   -(product2(e_2, e_2, e_1))
%   -(product1(e_2, e_1, e_1))
%   -(product1(e_1, e_2, e_2))
%   -(product1(e_1, e_2, e_1))
%   -(product1(e_2, e_1, e_2))
%   -(product1(e_1, e_1, e_2))
%   -(product1(e_2, e_2, e_1))
%   +(equalish(X_151988, X_151988))
%   -(product(e_3, e_1, e_5))
%   -(product(e_2, e_1, e_5))
%   -(product(e_2, e_1, e_4))
%   -(product(e_1, e_1, e_5))
%   -(product(e_1, e_1, e_4))
%   -(product(e_1, e_1, e_3))
%   -(equalish(e_5, e_4))
%   -(equalish(e_5, e_3))
%   -(equalish(e_5, e_2))
%   -(equalish(e_5, e_1))
%   -(equalish(e_4, e_5))
%   -(equalish(e_4, e_3))
%   -(equalish(e_4, e_2))
%   -(equalish(e_4, e_1))
%   -(equalish(e_3, e_5))
%   -(equalish(e_3, e_4))
%   -(equalish(e_3, e_2))
%   -(equalish(e_3, e_1))
%   -(equalish(e_2, e_5))
%   -(equalish(e_2, e_4))
%   -(equalish(e_2, e_3))
%   -(equalish(e_2, e_1))
%   -(equalish(e_1, e_5))
%   -(equalish(e_1, e_4))
%   -(equalish(e_1, e_3))
%   -(equalish(e_1, e_2))
%   +(product2(X_152185, X_152185, X_152185))
%   +(product1(X_152194, X_152194, X_152194))
%   +(group_element(e_5))
%   +(group_element(e_4))
%   +(group_element(e_3))
%   +(group_element(e_2))
%   +(group_element(e_1))
%   +(greater(e_5, e_4))
%   +(greater(e_5, e_3))
%   +(greater(e_4, e_3))
%   +(greater(e_5, e_2))
%   +(greater(e_4, e_2))
%   +(greater(e_3, e_2))
%   +(greater(e_5, e_1))
%   +(greater(e_4, e_1))
%   +(greater(e_3, e_1))
%   +(greater(e_2, e_1))
%   +(next(e_4, e_5))
%   +(next(e_3, e_4))
%   +(next(e_2, e_3))
%   +(next(e_1, e_2))
%   +(_152326)
%   -(greater(Y_152351, e_5))
%   -(greater(Y_152376, e_4))
%   -(greater(Y_152401, e_3))
%   -(greater(Y_152426, e_2))
%   -(next(X_152451, e_4))
%   -(next(X_152476, e_3))
%   -(next(X_152501, e_2))
%   -(next(X_152526, e_1))
%   -(greater(Y_152551, X1_152552))
%   -(product1(X_152578, Y_152579, e_4))
%   -(product1(X_152605, Y_152606, e_3))
%   -(product1(X_152632, Y_152633, e_2))
%   -(product1(X_152659, Y_152660, e_1))
%   -(product1(X_152686, e_4, Y_152687))
%   -(product1(X_152713, e_3, Y_152714))
%   -(product1(X_152740, e_2, Y_152741))
%   -(product1(X_152767, e_1, Y_152768))
%   -(product1(e_4, Y_152794, X_152795))
%   -(product1(e_3, Y_152821, X_152822))
%   -(product1(e_2, Y_152848, X_152849))
%   -(product1(e_1, Y_152875, X_152876))
%   -(product2(X_152902, Y_152903, e_4))
%   -(product2(X_152929, Y_152930, e_3))
%   -(product2(X_152956, Y_152957, e_2))
%   -(product2(X_152983, Y_152984, e_1))
%   -(product2(X_153010, e_4, Y_153011))
%   -(product2(X_153037, e_3, Y_153038))
%   -(product2(X_153064, e_2, Y_153065))
%   -(product2(X_153091, e_1, Y_153092))
%   -(product2(e_4, Y_153118, X_153119))
%   -(product2(e_3, Y_153145, X_153146))
%   -(product2(e_2, Y_153172, X_153173))
%   -(product2(e_1, Y_153199, X_153200))
%   -(product1(e_4, e_1, e_5))
%   -(product1(e_2, e_1, e_4))
%   -(product1(e_3, e_1, e_4))
%   -(product1(e_5, e_2, e_4))
%   -(product1(e_5, e_3, e_4))
%   -(product1(e_5, e_1, e_2))
%   -(product1(e_5, e_1, e_3))
%   +(product1(e_5, e_1, e_4))
%   -(product1(e_2, e_3, e_5))
%   -(product1(e_1, e_3, e_2))
%   -(product1(e_4, e_3, e_2))
%   -(product1(e_5, e_4, e_2))
%   -(product1(e_5, e_3, e_1))
%   +(product1(e_5, e_3, e_2))
%   -(product1(e_1, e_4, e_5))
%   -(product1(e_2, e_4, e_1))
%   -(product1(e_3, e_4, e_1))
%   +(product1(e_5, e_4, e_1))
%   -(product1(e_3, e_2, e_5))
%   -(product1(e_1, e_2, e_3))
%   -(product1(e_4, e_2, e_3))
%   -(product1(e_5, e_4, e_3))
%   -(product1(e_5, e_2, e_1))
%   +(product1(e_5, e_2, e_3))
%   +(product1(e_3, e_5, e_1))
%   +(product1(e_2, e_5, e_4))
%   -(product1(e_3, e_5, e_4))
%   +(product2(e_4, e_1, e_5))
%   +(product2(e_4, e_5, e_2))
%   +(product2(e_1, e_4, e_5))
%   +(product2(e_5, e_1, e_3))
%   +(product2(e_1, e_5, e_3))
%   +(product2(e_5, e_4, e_2))
%   -(product1(e_2, e_5, e_1))
%   +(product1(e_3, e_2, e_4))
%   +(product1(e_4, e_5, e_3))
%   -(product2(e_4, e_1, e_3))
%   -(product2(e_4, e_5, e_3))
%   -(product2(e_4, e_1, e_2))
%   -(product2(e_5, e_1, e_2))
%   -(product2(e_1, e_4, e_2))
%   -(product2(e_1, e_5, e_2))
%   -(product2(e_1, e_4, e_3))
%   -(product2(e_5, e_4, e_3))
%   +(product1(e_4, e_3, e_5))
%   +(product1(e_2, e_3, e_1))
%   +(product1(e_1, e_2, e_5))
%   +(product1(e_1, e_5, e_2))
%   -(product1(e_3, e_2, e_1))
%   -(product1(e_4, e_5, e_1))
%   +(product2(e_4, e_2, e_3))
%   +(product2(e_3, e_1, e_2))
%   +(product2(e_1, e_3, e_2))
%   +(product2(e_2, e_4, e_3))
%   -(product1(e_4, e_3, e_1))
%   -(product1(e_2, e_3, e_4))
%   -(product1(e_1, e_2, e_4))
%   -(product1(e_1, e_5, e_4))
%   +(product1(e_4, e_2, e_1))
%   -(product2(e_4, e_2, e_5))
%   -(product2(e_3, e_1, e_5))
%   -(product2(e_1, e_3, e_5))
%   -(product2(e_2, e_4, e_5))
%   +(product1(e_1, e_3, e_4))
%   -(product1(e_4, e_2, e_5))
%   +(product2(e_3, e_2, e_5))
%   +(product2(e_2, e_3, e_5))
%   -(product1(e_1, e_3, e_5))
%   -(product2(e_2, e_5, e_3))
%   -(product2(e_2, e_4, e_1))
%   -(product2(e_3, e_4, e_2))
%   -(product2(e_3, e_4, e_5))
%   -(product2(e_5, e_3, e_2))
%   -(product2(e_1, e_3, e_4))
%   -(product2(e_1, e_2, e_3))
%   -(product2(e_1, e_2, e_5))
%   -(product2(e_1, e_5, e_4))
%   -(product2(e_3, e_2, e_4))
%   -(product2(e_3, e_5, e_1))
%   -(product2(e_3, e_5, e_2))
%   -(product2(e_3, e_1, e_4))
%   -(product2(e_5, e_1, e_4))
%   -(product2(e_2, e_3, e_4))
%   -(product2(e_2, e_5, e_4))
%   -(product2(e_2, e_1, e_3))
%   -(product2(e_2, e_1, e_5))
%   +(product2(e_2, e_5, e_1))
%   +(product2(e_3, e_4, e_1))
%   -(product1(e_4, e_5, e_2))
%   +(product2(e_5, e_3, e_4))
%   +(product2(e_1, e_2, e_4))
%   +(product2(e_3, e_5, e_4))
%   +(product2(e_2, e_1, e_4))
%   -(product1(e_1, e_5, e_3))
%   -(product2(e_3, e_2, e_1))
%   -(product2(e_5, e_4, e_1))
%   -(product2(e_5, e_2, e_3))
%   -(product2(e_5, e_2, e_4))
%   +(product1(e_4, e_1, e_2))
%   +(product1(e_2, e_4, e_5))
%   +(product1(e_1, e_4, e_3))
%   +(product2(e_5, e_2, e_1))
%   -(product1(e_4, e_1, e_3))
%   -(product1(e_2, e_5, e_3))
%   -(product1(e_2, e_4, e_3))
%   -(product1(e_1, e_4, e_2))
%   -(product1(e_3, e_5, e_2))
%   -(product2(e_2, e_3, e_1))
%   -(product2(e_5, e_3, e_1))
%   -(product2(e_4, e_2, e_1))
%   -(product2(e_4, e_5, e_1))
%   -(product2(e_4, e_3, e_2))
%   -(product2(e_4, e_3, e_5))
%   +(product1(e_2, e_1, e_3))
%   +(product1(e_3, e_4, e_2))
%   +(product2(e_4, e_3, e_1))
%   -(product1(e_2, e_1, e_5))
%   -(product1(e_3, e_4, e_5))
%   -(product1(e_3, e_1, e_2))
%   +(product1(e_3, e_1, e_5))
%   -(group_element(X_154252))
% 
%------------------------------------------------------------------------------