TSTP Solution File: GRP426-1 by Gandalf---c-2.6
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%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP426-1 : TPTP v3.4.2. Released v2.6.0.
% Transfm : add_equality:r
% Format : otter:hypothesis:set(auto),clear(print_given)
% Command : gandalf-wrapper -time %d %s
% Computer : art03.cs.miami.edu
% Model : i686 unknown
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 1000MB
% OS : Linux 2.4.22-21mdk-i686-up-4GB
% CPULimit : 600s
% Result : Unsatisfiable 0.0s
% Output : Assurance 0.0s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
%
% Gandalf c-2.6 r1 starting to prove: /home/graph/tptp/TSTP/PreparedTPTP/otter:hypothesis:set(auto),clear(print_given)---add_equality:r/GRP/GRP426-1+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: ueq
%
% strategies selected:
% (binary-posweight-kb-big-order 60 #f 9 1)
% (binary-posweight-lex-big-order 30 #f 9 1)
% (binary 30 #t)
% (binary-posweight-kb-big-order 180 #f)
% (binary-posweight-lex-big-order 120 #f)
% (binary-posweight-firstpref-order 60 #f)
% (binary-posweight-kb-small-order 60 #f)
% (binary-posweight-lex-small-order 60 #f)
%
%
% **** EMPTY CLAUSE DERIVED ****
%
%
% timer checkpoints: c(3,40,0,6,0,1,11,50,1,14,0,1,32,50,6,35,0,6)
%
%
% START OF PROOF
% 34 [] equal(multiply(inverse(multiply(inverse(multiply(X,inverse(multiply(inverse(Y),Z)))),multiply(X,inverse(Z)))),inverse(multiply(inverse(Z),Z))),Y).
% 35 [] -equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))).
% 36 [para:34.1.1,34.1.1.1.1.1.1.2.1] equal(multiply(inverse(multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(inverse(multiply(inverse(Z),Z)))))),inverse(multiply(inverse(inverse(multiply(inverse(Z),Z))),inverse(multiply(inverse(Z),Z))))),multiply(inverse(multiply(U,inverse(multiply(inverse(Y),Z)))),multiply(U,inverse(Z)))).
% 37 [para:36.1.1,34.1.1] equal(multiply(inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(Y),inverse(multiply(inverse(Z),Z)))),Z)))),multiply(X,inverse(Z))),Y).
% 38 [para:36.1.2,34.1.1.1.1] equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(inverse(multiply(inverse(Z),Z)))))),inverse(multiply(inverse(inverse(multiply(inverse(Z),Z))),inverse(multiply(inverse(Z),Z)))))),inverse(multiply(inverse(Z),Z))),Y).
% 39 [para:34.1.1,36.1.2.1.1] equal(multiply(inverse(multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(inverse(multiply(inverse(Y),Y)))))),inverse(multiply(inverse(inverse(multiply(inverse(Y),Y))),inverse(multiply(inverse(Y),Y))))),multiply(inverse(Z),multiply(inverse(multiply(inverse(multiply(U,inverse(multiply(inverse(Z),Y)))),multiply(U,inverse(Y)))),inverse(Y)))).
% 40 [para:34.1.1,36.1.2.2] equal(multiply(inverse(multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(inverse(multiply(inverse(multiply(inverse(Z),Z)),multiply(inverse(Z),Z))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(Z),Z)),multiply(inverse(Z),Z)))),inverse(multiply(inverse(multiply(inverse(Z),Z)),multiply(inverse(Z),Z)))))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(U,inverse(multiply(inverse(V),Z)))),multiply(U,inverse(Z)))),inverse(multiply(inverse(Y),multiply(inverse(Z),Z))))),V)).
% 41 [para:36.1.1,36.1.1] equal(multiply(inverse(multiply(X,inverse(multiply(inverse(Y),Z)))),multiply(X,inverse(Z))),multiply(inverse(multiply(U,inverse(multiply(inverse(Y),Z)))),multiply(U,inverse(Z)))).
% 43 [?] ?
% 45 [para:38.1.1,37.1.1.1.1.2.1.1.1] equal(multiply(inverse(multiply(X,inverse(multiply(inverse(Y),Z)))),multiply(X,inverse(Z))),multiply(inverse(multiply(inverse(multiply(U,inverse(Y))),multiply(U,inverse(inverse(multiply(inverse(Z),Z)))))),inverse(multiply(inverse(inverse(multiply(inverse(Z),Z))),inverse(multiply(inverse(Z),Z)))))).
% 55 [para:37.1.1,41.1.1.1.1.2.1,demod:37] equal(multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(multiply(Z,inverse(U))))),multiply(inverse(multiply(V,inverse(Y))),multiply(V,inverse(multiply(Z,inverse(U)))))).
% 60 [para:34.1.1,55.1.1.2.2.1,demod:34] equal(multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(Z))),multiply(inverse(multiply(U,inverse(Y))),multiply(U,inverse(Z)))).
% 69 [para:60.1.1,34.1.1.1.1.1.1.2.1,demod:43] equal(multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(Y,inverse(Z))),multiply(Y,inverse(U)))),inverse(multiply(inverse(U),U)))),U))),multiply(X,inverse(Z))).
% 70 [para:60.1.1,34.1.1.2.1] equal(multiply(inverse(multiply(inverse(multiply(X,inverse(multiply(inverse(Y),multiply(Z,inverse(U)))))),multiply(X,inverse(multiply(Z,inverse(U)))))),inverse(multiply(inverse(multiply(V,inverse(U))),multiply(V,inverse(U))))),Y).
% 84 [para:69.1.1,38.1.1.1.1.1.1.1.1,demod:38] equal(X,multiply(inverse(multiply(inverse(multiply(inverse(multiply(Y,inverse(X))),multiply(Y,inverse(Z)))),inverse(multiply(inverse(Z),Z)))),Z)).
% 118 [para:69.1.1,70.1.1.1.1.2,demod:84] equal(multiply(inverse(multiply(inverse(multiply(X,inverse(multiply(inverse(Y),Z)))),multiply(X,inverse(Z)))),inverse(multiply(inverse(multiply(U,inverse(V))),multiply(U,inverse(V))))),Y).
% 122 [para:34.1.1,118.1.1.2.1.1.1,demod:34] equal(multiply(inverse(multiply(inverse(multiply(X,inverse(multiply(inverse(Y),Z)))),multiply(X,inverse(Z)))),inverse(multiply(inverse(U),U))),Y).
% 145 [para:40.1.1,39.1.1,demod:122] equal(multiply(inverse(X),X),multiply(inverse(Y),Y)).
% 148 [para:145.1.1,34.1.1.1.1.1.1.2.1] equal(multiply(inverse(multiply(inverse(multiply(X,inverse(multiply(inverse(Y),Y)))),multiply(X,inverse(Z)))),inverse(multiply(inverse(Z),Z))),Z).
% 190 [para:145.1.1,84.1.2.1.1.1.1] equal(X,multiply(inverse(multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(inverse(X),X)))),X)).
% 228 [para:145.1.1,40.1.2.1.1.2.1,demod:122,148] equal(inverse(multiply(inverse(multiply(inverse(X),X)),multiply(inverse(X),X))),multiply(inverse(Y),Y)).
% 375 [para:145.1.1,228.1.1.1] equal(inverse(multiply(inverse(X),X)),multiply(inverse(Y),Y)).
% 553 [para:375.1.2,145.1.2] equal(multiply(inverse(X),X),inverse(multiply(inverse(Y),Y))).
% 556 [para:375.1.1,190.1.2.1.1.2] equal(X,multiply(inverse(multiply(inverse(multiply(inverse(Y),Y)),multiply(inverse(Z),Z))),X)).
% 559 [para:375.1.2,228.1.1.1] equal(inverse(inverse(multiply(inverse(X),X))),multiply(inverse(Y),Y)).
% 568 [para:375.1.2,375.1.2] equal(inverse(multiply(inverse(X),X)),inverse(multiply(inverse(Y),Y))).
% 576 [para:375.1.2,553.1.2.1] equal(multiply(inverse(X),X),inverse(inverse(multiply(inverse(Y),Y)))).
% 730 [para:568.1.1,190.1.2.1.1.1.1.1,demod:556] equal(X,multiply(inverse(inverse(multiply(inverse(X),X))),X)).
% 775 [para:145.1.1,730.1.2.1.1.1] equal(X,multiply(inverse(inverse(multiply(inverse(Y),Y))),X)).
% 778 [para:375.1.1,730.1.2.1.1] equal(X,multiply(inverse(multiply(inverse(Y),Y)),X)).
% 779 [para:375.1.2,730.1.2.1.1.1] equal(X,multiply(inverse(inverse(inverse(multiply(inverse(Y),Y)))),X)).
% 781 [para:559.1.1,730.1.2.1] equal(X,multiply(multiply(inverse(Y),Y),X)).
% 782 [para:559.1.2,730.1.2.1.1.1] equal(X,multiply(inverse(inverse(inverse(inverse(multiply(inverse(Y),Y))))),X)).
% 788 [para:781.1.2,41.1.1.1.1,demod:781] equal(multiply(inverse(inverse(multiply(inverse(X),Y))),inverse(Y)),multiply(inverse(multiply(Z,inverse(multiply(inverse(X),Y)))),multiply(Z,inverse(Y)))).
% 790 [para:781.1.2,60.1.1.1.1,demod:781] equal(multiply(inverse(inverse(X)),inverse(Y)),multiply(inverse(multiply(Z,inverse(X))),multiply(Z,inverse(Y)))).
% 804 [para:775.1.2,36.1.1.1.1.2.2.1.1,demod:788,779,775,790] equal(multiply(inverse(multiply(inverse(inverse(X)),inverse(inverse(inverse(multiply(inverse(Y),Y)))))),inverse(inverse(inverse(multiply(inverse(Y),Y))))),multiply(inverse(inverse(multiply(inverse(X),inverse(multiply(inverse(Y),Y))))),inverse(inverse(multiply(inverse(Y),Y))))).
% 807 [para:576.1.1,34.1.1.1.1.1.1.2.1,demod:782,790] equal(multiply(inverse(inverse(X)),inverse(multiply(inverse(X),X))),X).
% 820 [para:576.1.1,55.1.1.2,demod:790] equal(multiply(inverse(multiply(inverse(inverse(multiply(X,inverse(Y)))),inverse(Z))),inverse(inverse(multiply(inverse(U),U)))),multiply(inverse(inverse(Z)),inverse(multiply(X,inverse(Y))))).
% 826 [para:576.1.1,60.1.1.2,demod:790] equal(multiply(inverse(multiply(inverse(inverse(X)),inverse(Y))),inverse(inverse(multiply(inverse(Z),Z)))),multiply(inverse(inverse(Y)),inverse(X))).
% 846 [para:779.1.2,84.1.2.1.1.2.1,demod:779,820,804,790] equal(X,inverse(multiply(inverse(X),inverse(multiply(inverse(Y),Y))))).
% 854 [para:807.1.1,60.1.1.2,demod:790] equal(multiply(inverse(multiply(inverse(inverse(X)),inverse(Y))),X),multiply(inverse(inverse(Y)),inverse(multiply(inverse(X),X)))).
% 857 [para:807.1.1,84.1.2.1.1.1.1.2,demod:778,846,854] equal(X,multiply(X,multiply(inverse(Y),Y))).
% 858 [para:807.1.1,70.1.1.1.1.1.1.2.1.2,demod:826,775,790,788,807] equal(multiply(inverse(inverse(X)),inverse(multiply(inverse(Y),X))),Y).
% 867 [para:375.1.1,807.1.1.2,demod:857] equal(inverse(inverse(X)),X).
% 868 [para:559.1.2,807.1.1.2.1,demod:867] equal(multiply(X,inverse(multiply(inverse(Y),Y))),X).
% 873 [?] ?
% 875 [para:867.1.1,38.1.1.1.1.1.1.1.1.2,demod:868,781,857,867] equal(multiply(inverse(multiply(X,Y)),X),inverse(Y)).
% 886 [para:867.1.1,39.1.1.1.1.2.2,demod:873,788,781,867,875,857] equal(inverse(X),multiply(inverse(Y),multiply(Y,inverse(X)))).
% 902 [para:45.1.2,34.1.1,demod:790,867,868] equal(multiply(multiply(X,Y),inverse(Y)),X).
% 928 [?] ?
% 936 [para:857.1.2,60.1.1,demod:790,867] equal(inverse(multiply(X,inverse(Y))),multiply(Y,inverse(X))).
% 939 [para:857.1.2,84.1.2.1.1.1.1,demod:868,936,867] equal(X,multiply(multiply(X,inverse(Y)),Y)).
% 950 [para:36.1.2,902.1.1.1,demod:781,939,857,867,936] equal(multiply(inverse(X),multiply(Y,inverse(Z))),multiply(multiply(inverse(X),Y),inverse(Z))).
% 953 [para:37.1.1,902.1.1.1,demod:867,868,936] equal(multiply(X,multiply(Y,inverse(Z))),multiply(multiply(X,Y),inverse(Z))).
% 954 [para:902.1.1,41.1.1.1.1,demod:936,886,928,950,953] equal(inverse(X),multiply(multiply(inverse(X),multiply(Y,inverse(Z))),multiply(Z,inverse(Y)))).
% 960 [para:40.1.2,902.1.1.1,demod:954,950,781,939,857,867,778,936] equal(multiply(inverse(X),inverse(Y)),inverse(multiply(Y,X))).
% 964 [para:84.1.2,939.1.2.1,demod:928,867,936] equal(multiply(multiply(X,inverse(Y)),multiply(Y,Z)),multiply(X,Z)).
% 1017 [para:858.1.1,55.1.1.2,demod:964,936,960,867,slowcut:35] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% using first neg lit preferred strategy
% not using sos strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% using clause demodulation
% clause length limited to 1
% clause depth limited to 11
% seconds given: 60
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 88
% derived clauses: 12333
% kept clauses: 1003
% kept size sum: 34433
% kept mid-nuclei: 0
% kept new demods: 431
% forw unit-subs: 8834
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 16
% fast unit cutoff: 0
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 0.32
% process. runtime: 0.31
% specific non-discr-tree subsumption statistics:
% tried: 0
% length fails: 0
% strength fails: 0
% predlist fails: 0
% aux str. fails: 0
% by-lit fails: 0
% full subs tried: 0
% full subs fail: 0
%
% ; program args: ("/home/graph/tptp/Systems/Gandalf---c-2.6/gandalf" "-time" "600" "/home/graph/tptp/TSTP/PreparedTPTP/otter:hypothesis:set(auto),clear(print_given)---add_equality:r/GRP/GRP426-1+eq_r.in")
%
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