TSTP Solution File: GRP014-1 by Gandalf---c-2.6
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%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP014-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm : add_equality:r
% Format : otter:hypothesis:set(auto),clear(print_given)
% Command : gandalf-wrapper -time %d %s
% Computer : art05.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/GRP014-1+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(3,40,1,6,0,1)
%
%
% START OF PROOF
% 4 [] equal(X,X).
% 5 [] equal(multiply(X,inverse(multiply(multiply(inverse(multiply(inverse(Y),multiply(inverse(X),Z))),U),inverse(multiply(Y,U))))),Z).
% 6 [] -equal(multiply(a,multiply(b,c)),multiply(multiply(a,b),c)).
% 7 [para:5.1.1,5.1.1.2.1.1.1.1.2] equal(multiply(X,inverse(multiply(multiply(inverse(multiply(inverse(Y),Z)),U),inverse(multiply(Y,U))))),inverse(multiply(multiply(inverse(multiply(inverse(V),multiply(inverse(inverse(X)),Z))),W),inverse(multiply(V,W))))).
% 8 [para:7.1.1,5.1.1] equal(inverse(multiply(multiply(inverse(multiply(inverse(X),multiply(inverse(inverse(Y)),multiply(inverse(Y),Z)))),U),inverse(multiply(X,U)))),Z).
% 9 [para:7.1.2,5.1.1.2] equal(multiply(inverse(X),multiply(X,inverse(multiply(multiply(inverse(multiply(inverse(Y),Z)),U),inverse(multiply(Y,U)))))),Z).
% 11 [para:7.1.2,7.1.2] equal(multiply(X,inverse(multiply(multiply(inverse(multiply(inverse(Y),Z)),U),inverse(multiply(Y,U))))),multiply(X,inverse(multiply(multiply(inverse(multiply(inverse(V),Z)),W),inverse(multiply(V,W)))))).
% 12 [para:9.1.1,5.1.1.2.1.1.1.1] equal(multiply(X,inverse(multiply(multiply(inverse(Y),Z),inverse(multiply(inverse(X),Z))))),inverse(multiply(multiply(inverse(multiply(inverse(U),Y)),V),inverse(multiply(U,V))))).
% 13 [para:5.1.1,9.1.1.2.2.1.1.1.1] equal(multiply(inverse(X),multiply(X,inverse(multiply(multiply(inverse(Y),Z),inverse(multiply(U,Z)))))),inverse(multiply(multiply(inverse(multiply(inverse(V),multiply(inverse(inverse(U)),Y))),W),inverse(multiply(V,W))))).
% 18 [para:8.1.1,9.1.1.2.2] equal(multiply(inverse(X),multiply(X,Y)),multiply(inverse(inverse(Z)),multiply(inverse(Z),Y))).
% 19 [para:9.1.1,8.1.1.1.1.1.1.2.2] equal(inverse(multiply(multiply(inverse(multiply(inverse(X),multiply(inverse(inverse(Y)),Z))),U),inverse(multiply(X,U)))),multiply(Y,inverse(multiply(multiply(inverse(multiply(inverse(V),Z)),W),inverse(multiply(V,W)))))).
% 20 [para:8.1.1,8.1.1.1.1.1.1.2.1.1,demod:8] equal(inverse(multiply(multiply(inverse(multiply(inverse(X),multiply(inverse(Y),multiply(Y,Z)))),U),inverse(multiply(X,U)))),Z).
% 22 [para:18.1.2,5.1.1.2.1.1.1.1] equal(multiply(X,inverse(multiply(multiply(inverse(multiply(inverse(Y),multiply(Y,Z))),U),inverse(multiply(inverse(X),U))))),Z).
% 37 [para:8.1.1,18.1.2.1.1,demod:8] equal(multiply(inverse(X),multiply(X,Y)),multiply(inverse(Z),multiply(Z,Y))).
% 51 [para:37.1.1,18.1.2.2] equal(multiply(inverse(X),multiply(X,multiply(Y,Z))),multiply(inverse(inverse(Y)),multiply(inverse(U),multiply(U,Z)))).
% 232 [para:12.1.2,5.1.1.2] equal(multiply(X,multiply(Y,inverse(multiply(multiply(inverse(multiply(inverse(X),Z)),U),inverse(multiply(inverse(Y),U)))))),Z).
% 236 [para:12.1.2,9.1.1.2.2] equal(multiply(inverse(X),multiply(X,multiply(Y,inverse(multiply(multiply(inverse(Z),U),inverse(multiply(inverse(Y),U))))))),Z).
% 259 [para:12.1.1,51.1.1.2.2,demod:9] equal(X,multiply(inverse(inverse(Y)),multiply(inverse(Z),multiply(Z,inverse(multiply(multiply(inverse(X),U),inverse(multiply(inverse(Y),U)))))))).
% 341 [para:8.1.1,259.1.2.1.1,demod:8] equal(X,multiply(inverse(Y),multiply(inverse(Z),multiply(Z,inverse(multiply(multiply(inverse(X),U),inverse(multiply(Y,U)))))))).
% 380 [para:341.1.2,7.1.2.1.1.1.1,demod:5] equal(inverse(multiply(multiply(inverse(X),Y),inverse(multiply(Z,Y)))),inverse(multiply(multiply(inverse(X),U),inverse(multiply(Z,U))))).
% 394 [para:8.1.1,380.1.1.1.1.1,demod:8] equal(inverse(multiply(multiply(X,Y),inverse(multiply(Z,Y)))),inverse(multiply(multiply(X,U),inverse(multiply(Z,U))))).
% 504 [para:394.1.1,236.1.1.2.2.2.1.1.1,demod:236] equal(multiply(multiply(X,Y),inverse(multiply(Z,Y))),multiply(multiply(X,U),inverse(multiply(Z,U)))).
% 526 [para:504.1.1,37.1.1.2] equal(multiply(inverse(multiply(X,Y)),multiply(multiply(X,Z),inverse(multiply(U,Z)))),multiply(inverse(V),multiply(V,inverse(multiply(U,Y))))).
% 528 [para:37.1.1,504.1.1.1] equal(multiply(multiply(inverse(X),multiply(X,Y)),inverse(multiply(Z,multiply(U,Y)))),multiply(multiply(inverse(U),V),inverse(multiply(Z,V)))).
% 1108 [para:9.1.1,528.1.1.2.1,demod:9] equal(multiply(X,inverse(X)),multiply(multiply(inverse(Y),Z),inverse(multiply(inverse(Y),Z)))).
% 1265 [para:5.1.1,1108.1.2.1,demod:5] equal(multiply(X,inverse(X)),multiply(Y,inverse(Y))).
% 1298 [para:1108.1.2,22.1.1.2.1] equal(multiply(multiply(inverse(X),multiply(X,Y)),inverse(multiply(Z,inverse(Z)))),Y).
% 1332 [para:1108.1.2,232.1.1.2.2.1] equal(multiply(X,multiply(multiply(inverse(X),Y),inverse(multiply(Z,inverse(Z))))),Y).
% 1724 [para:1265.1.1,1332.1.1.2] equal(multiply(X,multiply(Y,inverse(Y))),inverse(inverse(X))).
% 1736 [para:1724.1.1,37.1.1] equal(inverse(inverse(inverse(X))),multiply(inverse(Y),multiply(Y,inverse(X)))).
% 1758 [para:1724.1.1,13.1.1.2.2.1.1,demod:1736,1724] equal(inverse(inverse(inverse(multiply(inverse(inverse(inverse(X))),inverse(inverse(inverse(Y))))))),inverse(multiply(multiply(inverse(multiply(inverse(Z),multiply(inverse(inverse(Y)),X))),U),inverse(multiply(Z,U))))).
% 1783 [para:1724.1.1,526.1.2] equal(multiply(inverse(multiply(X,Y)),multiply(multiply(X,Z),inverse(multiply(U,Z)))),inverse(inverse(inverse(multiply(U,Y))))).
% 1787 [para:1724.1.1,1298.1.1.1] equal(multiply(inverse(inverse(inverse(X))),inverse(multiply(Y,inverse(Y)))),inverse(X)).
% 1803 [para:20.1.1,1736.1.2.2.2,demod:20] equal(inverse(inverse(X)),multiply(inverse(Y),multiply(Y,X))).
% 1869 [para:1803.1.2,7.1.1.2.1.2.1,demod:1758] equal(multiply(X,inverse(multiply(multiply(inverse(multiply(inverse(inverse(Y)),Z)),multiply(Y,U)),inverse(inverse(inverse(U)))))),inverse(inverse(inverse(multiply(inverse(inverse(inverse(Z))),inverse(inverse(inverse(X)))))))).
% 1871 [para:1803.1.2,7.1.2.1.1.1.1.2,demod:5] equal(X,inverse(multiply(multiply(inverse(multiply(inverse(Y),inverse(inverse(X)))),Z),inverse(multiply(Y,Z))))).
% 1878 [para:1803.1.2,18.1.1.2,demod:1803] equal(multiply(inverse(inverse(X)),inverse(inverse(Y))),inverse(inverse(multiply(X,Y)))).
% 1888 [para:1803.1.2,11.1.1.2.1.2.1,demod:1878,1869] equal(inverse(inverse(inverse(inverse(inverse(multiply(inverse(X),inverse(Y))))))),multiply(Y,inverse(multiply(multiply(inverse(multiply(inverse(Z),X)),U),inverse(multiply(Z,U)))))).
% 1935 [para:1803.1.2,1298.1.1.1] equal(multiply(inverse(inverse(X)),inverse(multiply(Y,inverse(Y)))),X).
% 1936 [para:1803.1.2,19.1.1.1.1.1.1,demod:1888] equal(inverse(multiply(multiply(inverse(inverse(inverse(X))),Y),inverse(multiply(inverse(inverse(Z)),Y)))),inverse(inverse(inverse(inverse(inverse(multiply(inverse(X),inverse(Z)))))))).
% 1942 [para:7.1.2,1935.1.1.1.1,demod:1787,1888] equal(inverse(inverse(inverse(inverse(multiply(inverse(X),inverse(Y)))))),multiply(multiply(inverse(multiply(inverse(Z),multiply(inverse(inverse(Y)),X))),U),inverse(multiply(Z,U)))).
% 1945 [para:1935.1.1,8.1.1.1.2.1,demod:1787,1878,1803] equal(inverse(multiply(inverse(multiply(inverse(X),Y)),inverse(X))),Y).
% 1996 [para:1945.1.1,7.1.2.1.1.1.1.2.1.1,demod:1945,1888] equal(inverse(inverse(inverse(inverse(inverse(multiply(inverse(X),Y)))))),inverse(multiply(multiply(inverse(multiply(inverse(Z),multiply(inverse(Y),X))),U),inverse(multiply(Z,U))))).
% 2000 [para:8.1.1,1945.1.1.1.1.1.1,demod:1871,1803] equal(inverse(multiply(inverse(multiply(X,Y)),X)),Y).
% 2001 [para:1945.1.1,18.1.1.1,demod:1803] equal(multiply(X,multiply(multiply(inverse(multiply(inverse(Y),X)),inverse(Y)),Z)),inverse(inverse(Z))).
% 2003 [para:18.1.2,1945.1.1.1.1.1,demod:1878,1803] equal(inverse(inverse(inverse(multiply(inverse(X),Y)))),multiply(inverse(Y),X)).
% 2007 [para:22.1.1,1945.1.1.1.1.1,demod:2003,1936,1803] equal(inverse(multiply(inverse(X),inverse(Y))),inverse(inverse(multiply(inverse(inverse(Y)),X)))).
% 2024 [para:1945.1.1,13.1.1.1,demod:2007,2003,1942,2001] equal(inverse(inverse(inverse(multiply(multiply(inverse(X),Y),inverse(multiply(Z,Y)))))),inverse(multiply(inverse(X),inverse(Z)))).
% 2027 [para:1945.1.1,13.1.2.1.1.1.1.2.1.1,demod:2003,1996,1945,2024,1736] equal(inverse(multiply(inverse(X),Y)),inverse(inverse(multiply(inverse(Y),X)))).
% 2037 [para:1945.1.1,504.1.1.2] equal(multiply(multiply(X,inverse(Y)),Z),multiply(multiply(X,U),inverse(multiply(inverse(multiply(inverse(Y),Z)),U)))).
% 2049 [para:1945.1.1,526.1.1.2.2,demod:2027,1736] equal(multiply(inverse(multiply(X,Y)),multiply(multiply(X,inverse(Z)),U)),inverse(multiply(inverse(multiply(inverse(Z),U)),Y))).
% 2050 [para:1945.1.1,526.1.2.2.2,demod:1803,1945,2049,2037] equal(X,inverse(inverse(X))).
% 2052 [para:526.1.2,1945.1.1.1.1.1,demod:2050,1783] equal(inverse(multiply(multiply(X,Y),inverse(Z))),multiply(Z,inverse(multiply(X,Y)))).
% 2060 [para:1945.1.1,1298.1.1.2.1.2,demod:2050,1803] equal(multiply(X,inverse(multiply(multiply(inverse(multiply(inverse(Y),Z)),inverse(Y)),Z))),X).
% 2067 [para:19.1.2,1945.1.1.1.1.1,demod:2037,2052,1945,2027,1996,2050] equal(X,multiply(multiply(Y,inverse(Y)),X)).
% 2069 [para:1945.1.1,1332.1.1.2.2.1.2,demod:2060] equal(multiply(X,multiply(inverse(X),Y)),Y).
% 2079 [para:2050.1.2,7.1.2.1.1.1.1.2.1.1,demod:2027,1996,2067,2037,2052] equal(multiply(inverse(X),Y),inverse(multiply(inverse(Y),X))).
% 2083 [para:8.1.1,2050.1.2.1,demod:2079,2069,2050] equal(multiply(multiply(multiply(inverse(X),Y),Z),inverse(multiply(Y,Z))),inverse(X)).
% 2090 [para:2050.1.2,13.1.1.1,demod:2083,2050,2069,2079,2052] equal(multiply(multiply(X,Y),multiply(inverse(Y),Z)),multiply(X,Z)).
% 2135 [para:2000.1.1,504.1.1.2,demod:2090,2079] equal(multiply(multiply(X,Y),Z),multiply(X,multiply(Y,Z))).
% 2150 [para:2135.1.1,6.1.2,cut:4] 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 9
% seconds given: 60
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 73
% derived clauses: 19233
% kept clauses: 2143
% kept size sum: 66626
% kept mid-nuclei: 0
% kept new demods: 472
% forw unit-subs: 13459
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 26
% fast unit cutoff: 1
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 0.46
% process. runtime: 0.43
% 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/GRP014-1+eq_r.in")
%
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