TSTP Solution File: GRP124-8.005 by FDP---0.9.16

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : FDP---0.9.16
% Problem  : GRP124-8.005 : TPTP v5.0.0. Released v1.2.0.
% Transfm  : add_equality
% Format   : protein
% Command  : fdp-casc %s %d

% Computer : art09.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 03:50:44 EST 2011

% Result   : Satisfiable 23.04s
% Output   : Assurance 23.04s
% 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/GRP124-8.005+noeq ...
% Done.
% Input File...............: /tmp/GRP124-8.005+noeq.tme
% System...................: Linux art09.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...: [+(_198470)]
% 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.................: 68
% # Commits................: 8
% # Unit extension steps...: 363
% # Unit back subsumptions.: 0
% # Branches closed........: 0
% # Level cuts.............: 0
% Time.....................: 22.79 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))
%   -(cycle(e_4, e_5))
%   -(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))
%   -(cycle(e_4, 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))
%   -(cycle(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))
%   -(cycle(e_4, 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_199593, X_199593))
%   +(equalish(e_0, e_0))
%   -(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_199749, X_199749, X_199749))
%   +(product1(X_199758, X_199758, X_199758))
%   +(group_element(e_5))
%   +(group_element(e_4))
%   +(group_element(e_3))
%   +(group_element(e_2))
%   +(group_element(e_1))
%   +(cycle(e_5, e_0))
%   +(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))
%   +(greater(e_5, e_0))
%   +(greater(e_4, e_0))
%   +(greater(e_3, e_0))
%   +(greater(e_2, e_0))
%   +(greater(e_1, e_0))
%   +(next(e_4, e_5))
%   +(next(e_3, e_4))
%   +(next(e_2, e_3))
%   +(next(e_1, e_2))
%   +(next(e_0, e_1))
%   +(_199939)
%   -(cycle(e_0, e_0))
%   -(cycle(e_1, e_0))
%   -(cycle(e_2, e_0))
%   -(cycle(e_3, e_0))
%   -(group_element(e_0))
%   -(next(e_5, e_2))
%   -(next(e_4, e_1))
%   -(cycle(e_0, e_1))
%   -(cycle(e_0, e_2))
%   -(cycle(e_0, e_3))
%   -(cycle(e_0, e_4))
%   -(next(e_3, e_1))
%   -(product(e_1, e_1, e_1))
%   -(product(e_1, e_1, e_3))
%   -(product(e_1, e_1, e_4))
%   -(product(e_1, e_1, e_5))
%   +(cycle(e_1, e_4))
%   -(next(e_5, e_3))
%   -(next(e_4, e_2))
%   -(next(e_3, e_2))
%   -(cycle(e_1, e_1))
%   -(cycle(e_1, e_2))
%   -(cycle(e_1, e_3))
%   -(cycle(e_1, e_5))
%   -(next(e_2, e_1))
%   -(next(e_2, e_5))
%   -(next(e_2, e_4))
%   -(next(e_2, e_2))
%   -(product(e_2, e_1, e_1))
%   -(product(e_2, e_1, e_2))
%   -(product(e_2, e_1, e_4))
%   -(product(e_2, e_1, e_5))
%   +(cycle(e_2, e_3))
%   -(next(e_5, e_4))
%   -(next(e_4, e_3))
%   -(cycle(e_2, e_1))
%   -(cycle(e_2, e_2))
%   -(cycle(e_2, e_4))
%   -(cycle(e_2, e_5))
%   -(next(e_1, e_1))
%   -(next(e_1, e_3))
%   -(next(e_1, e_4))
%   -(next(e_1, e_5))
%   -(next(e_3, e_5))
%   -(next(e_3, e_3))
%   -(product(e_3, e_1, e_1))
%   -(product(e_3, e_1, e_2))
%   -(product(e_3, e_1, e_3))
%   -(product(e_3, e_1, e_5))
%   +(cycle(e_3, e_2))
%   -(next(e_5, e_5))
%   -(cycle(e_3, e_1))
%   -(cycle(e_3, e_3))
%   -(cycle(e_3, e_4))
%   -(cycle(e_3, e_5))
%   -(next(e_0, e_2))
%   -(next(e_0, e_3))
%   -(next(e_0, e_4))
%   -(next(e_0, e_5))
%   -(next(e_4, e_4))
%   -(cycle(e_5, e_1))
%   -(cycle(e_5, e_2))
%   -(cycle(e_5, e_3))
%   -(cycle(e_5, e_4))
%   -(product(e_4, e_1, e_1))
%   -(product(e_4, e_1, e_2))
%   -(product(e_4, e_1, e_3))
%   -(product(e_4, e_1, e_4))
%   +(cycle(e_4, e_1))
%   -(cycle(e_4, e_0))
%   -(greater(e_5, e_5))
%   -(greater(e_0, e_0))
%   -(cycle(e_0, e_5))
%   -(product(e_0, e_1, e_2))
%   -(product(e_0, e_1, e_3))
%   -(product(e_0, e_1, e_4))
%   -(product(e_0, e_1, e_5))
%   -(greater(e_1, e_1))
%   -(greater(e_0, e_1))
%   -(greater(e_2, e_2))
%   -(greater(e_1, e_2))
%   -(greater(e_0, e_2))
%   -(greater(e_3, e_3))
%   -(greater(e_2, e_3))
%   -(greater(e_1, e_3))
%   -(greater(e_0, e_3))
%   -(greater(e_4, e_4))
%   -(greater(e_3, e_4))
%   -(greater(e_2, e_4))
%   -(greater(e_1, e_4))
%   -(greater(e_0, e_4))
%   -(next(e_5, e_1))
%   -(cycle(X_201086, e_4))
%   -(cycle(X_201111, e_3))
%   -(cycle(X_201136, e_2))
%   -(cycle(X_201161, e_1))
%   -(greater(Y_201186, e_5))
%   -(greater(Y_201211, X_201212))
%   -(product1(X_201238, Y_201239, e_4))
%   -(product1(X_201265, Y_201266, e_3))
%   -(product1(X_201292, Y_201293, e_2))
%   -(product1(X_201319, Y_201320, e_1))
%   -(product1(X_201346, e_4, Y_201347))
%   -(product1(X_201373, e_3, Y_201374))
%   -(product1(X_201400, e_2, Y_201401))
%   -(product1(X_201427, e_1, Y_201428))
%   -(product1(e_4, Y_201454, X_201455))
%   -(product1(e_3, Y_201481, X_201482))
%   -(product1(e_2, Y_201508, X_201509))
%   -(product1(e_1, Y_201535, X_201536))
%   -(product2(X_201562, Y_201563, e_4))
%   -(product2(X_201589, Y_201590, e_3))
%   -(product2(X_201616, Y_201617, e_2))
%   -(product2(X_201643, Y_201644, e_1))
%   -(product2(X_201670, e_4, Y_201671))
%   -(product2(X_201697, e_3, Y_201698))
%   -(product2(X_201724, e_2, Y_201725))
%   -(product2(X_201751, e_1, Y_201752))
%   -(product2(e_4, Y_201778, X_201779))
%   -(product2(e_3, Y_201805, X_201806))
%   -(product2(e_2, Y_201832, X_201833))
%   -(product2(e_1, Y_201859, X_201860))
%   -(next(X_201885, e_4))
%   -(next(X_201910, e_3))
%   -(next(X_201935, e_2))
%   -(next(X_201960, e_1))
%   -(next(X_201985, e_5))
%   -(next(X_202010, W_202011))
%   -(product1(e_1, e_4, e_5))
%   -(product1(e_4, e_5, e_1))
%   -(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_3, e_2, e_5))
%   -(product1(e_2, e_5, e_3))
%   -(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_4, e_1, e_5))
%   -(product1(e_1, e_5, e_4))
%   -(product1(e_2, e_4, e_1))
%   -(product1(e_3, e_4, e_1))
%   +(product1(e_5, e_4, e_1))
%   -(product1(e_2, e_3, e_5))
%   -(product1(e_3, e_5, e_2))
%   -(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))
%   -(product2(e_4, e_2, e_5))
%   -(product2(e_4, e_3, e_1))
%   -(product2(e_4, e_2, e_3))
%   -(product2(e_1, e_2, e_4))
%   -(product2(e_1, e_3, e_2))
%   -(product2(e_1, e_3, e_5))
%   +(product1(e_1, e_3, e_4))
%   +(product1(e_4, e_2, e_1))
%   +(product2(e_3, e_2, e_4))
%   +(product2(e_1, e_5, e_2))
%   +(product2(e_2, e_3, e_1))
%   +(product2(e_4, e_5, e_3))
%   +(product2(e_1, e_2, e_5))
%   +(product2(e_4, e_2, e_1))
%   +(product2(e_5, e_3, e_2))
%   +(product2(e_4, e_3, e_5))
%   +(product2(e_5, e_2, e_3))
%   +(product2(e_1, e_3, e_4))
%   -(product1(e_1, e_3, e_5))
%   -(product1(e_4, e_2, e_5))
%   -(product2(e_3, e_2, e_5))
%   -(product2(e_1, e_5, e_4))
%   -(product2(e_2, e_3, e_4))
%   -(product2(e_4, e_3, e_2))
%   -(product2(e_4, e_5, e_2))
%   -(product2(e_4, e_1, e_5))
%   +(product1(e_3, e_5, e_1))
%   +(product1(e_1, e_2, e_5))
%   -(product2(e_3, e_1, e_4))
%   -(product2(e_5, e_2, e_4))
%   -(product2(e_5, e_3, e_4))
%   -(product2(e_5, e_1, e_2))
%   -(product2(e_3, e_1, e_2))
%   -(product2(e_1, e_2, e_3))
%   -(product2(e_1, e_5, e_3))
%   -(product2(e_1, e_4, e_2))
%   +(product1(e_2, e_5, e_4))
%   +(product1(e_4, e_3, e_5))
%   -(product2(e_5, e_2, e_1))
%   -(product2(e_5, e_3, e_1))
%   -(product2(e_5, e_4, e_2))
%   -(product2(e_5, e_4, e_3))
%   +(product2(e_3, e_1, e_5))
%   +(product2(e_2, e_5, e_4))
%   +(product2(e_4, e_1, e_2))
%   -(product1(e_3, e_5, e_4))
%   -(product1(e_1, e_2, e_4))
%   +(product2(e_5, e_1, e_4))
%   +(product2(e_3, e_4, e_2))
%   +(product2(e_1, e_4, e_3))
%   -(product1(e_2, e_5, e_1))
%   -(product1(e_4, e_3, e_1))
%   +(product2(e_5, e_4, e_1))
%   -(product2(e_1, e_4, e_5))
%   -(product2(e_3, e_4, e_5))
%   -(product2(e_2, e_3, e_5))
%   -(product2(e_2, e_4, e_1))
%   -(product2(e_2, e_5, e_1))
%   -(product2(e_4, e_5, e_1))
%   -(product2(e_3, e_2, e_1))
%   -(product2(e_3, e_4, e_1))
%   -(product2(e_3, e_5, e_2))
%   -(product2(e_3, e_5, e_4))
%   +(product1(e_4, e_5, e_3))
%   +(product1(e_3, e_2, e_4))
%   +(product1(e_4, e_1, e_2))
%   +(product1(e_2, e_4, e_5))
%   +(product1(e_2, e_3, e_1))
%   +(product1(e_1, e_4, e_3))
%   +(product2(e_2, e_4, e_5))
%   +(product2(e_3, e_5, e_1))
%   -(product1(e_4, e_5, e_2))
%   -(product1(e_3, e_2, e_1))
%   -(product1(e_4, e_1, e_3))
%   -(product1(e_2, e_4, e_3))
%   -(product1(e_2, e_3, e_4))
%   -(product1(e_1, e_4, e_2))
%   +(product1(e_1, e_5, e_2))
%   -(product2(e_4, e_1, e_3))
%   -(product2(e_5, e_1, e_3))
%   -(product2(e_2, e_4, e_3))
%   -(product2(e_2, e_5, e_3))
%   -(product2(e_2, e_1, e_4))
%   -(product2(e_2, e_1, e_5))
%   +(product1(e_2, e_1, e_3))
%   +(product1(e_3, e_4, e_2))
%   -(product1(e_1, e_5, e_3))
%   +(product2(e_2, e_1, e_3))
%   -(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_203063))
% 
%------------------------------------------------------------------------------