TSTP Solution File: GRP478-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP478-1 : 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 89.9s
% Output : Assurance 89.9s
% 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/GRP478-1+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 6 1)
% (binary-posweight-lex-big-order 30 #f 6 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(4,40,0,8,0,1,56974,3,3005,200668,4,4502,285199,5,6002,285199,1,6002,285199,50,6005,285199,40,6005,285203,0,6005,306074,3,7506,310360,4,8272,325021,5,9006,325021,1,9006,325021,50,9008,325021,40,9008,325025,0,9008,325025,50,9008,325025,40,9008,325029,0,9020)
%
%
% START OF PROOF
% 325027 [] equal(divide(inverse(divide(divide(divide(X,X),Y),divide(Z,divide(Y,U)))),U),Z).
% 325028 [] equal(multiply(X,Y),divide(X,inverse(Y))).
% 325029 [] -equal(multiply(inverse(a1),a1),multiply(inverse(b1),b1)).
% 325030 [para:325027.1.1,325028.1.2,demod:325028] equal(multiply(inverse(divide(divide(divide(X,X),Y),divide(Z,multiply(Y,U)))),U),Z).
% 325031 [para:325028.1.2,325027.1.1.1.1.1] equal(divide(inverse(divide(multiply(divide(X,X),Y),divide(Z,divide(inverse(Y),U)))),U),Z).
% 325032 [para:325028.1.2,325027.1.1.1.1.1.1] equal(divide(inverse(divide(divide(multiply(inverse(X),X),Y),divide(Z,divide(Y,U)))),U),Z).
% 325033 [para:325027.1.1,325027.1.1.1.1.2] equal(divide(inverse(divide(divide(divide(X,X),Y),Z)),U),inverse(divide(divide(divide(V,V),W),divide(Z,divide(W,divide(Y,U)))))).
% 325034 [para:325027.1.1,325027.1.1.1.1.2.2,demod:325028] equal(divide(inverse(divide(multiply(divide(X,X),divide(divide(divide(Y,Y),Z),divide(U,divide(Z,V)))),divide(W,U))),V),W).
% 325037 [para:325027.1.1,325030.1.1.1.1.2] equal(multiply(inverse(divide(divide(divide(X,X),Y),Z)),U),inverse(divide(divide(divide(V,V),W),divide(Z,divide(W,multiply(Y,U)))))).
% 325040 [para:325031.1.1,325027.1.1.1.1.2] equal(divide(inverse(divide(divide(divide(X,X),Y),Z)),U),inverse(divide(multiply(divide(V,V),W),divide(Z,divide(inverse(W),divide(Y,U)))))).
% 325042 [para:325027.1.1,325031.1.1.1.1.2] equal(divide(inverse(divide(multiply(divide(X,X),Y),Z)),U),inverse(divide(divide(divide(V,V),W),divide(Z,divide(W,divide(inverse(Y),U)))))).
% 325043 [para:325031.1.1,325030.1.1.1.1.2] equal(multiply(inverse(divide(divide(divide(X,X),Y),Z)),U),inverse(divide(multiply(divide(V,V),W),divide(Z,divide(inverse(W),multiply(Y,U)))))).
% 325044 [para:325031.1.1,325031.1.1.1.1.2] equal(divide(inverse(divide(multiply(divide(X,X),Y),Z)),U),inverse(divide(multiply(divide(V,V),W),divide(Z,divide(inverse(W),divide(inverse(Y),U)))))).
% 325045 [para:325032.1.1,325027.1.1.1.1.2] equal(divide(inverse(divide(divide(divide(X,X),Y),Z)),U),inverse(divide(divide(multiply(inverse(V),V),W),divide(Z,divide(W,divide(Y,U)))))).
% 325049 [para:325032.1.1,325030.1.1.1.1.2] equal(multiply(inverse(divide(divide(divide(X,X),Y),Z)),U),inverse(divide(divide(multiply(inverse(V),V),W),divide(Z,divide(W,multiply(Y,U)))))).
% 325050 [para:325032.1.1,325031.1.1.1.1.2] equal(divide(inverse(divide(multiply(divide(X,X),Y),Z)),U),inverse(divide(divide(multiply(inverse(V),V),W),divide(Z,divide(W,divide(inverse(Y),U)))))).
% 325051 [para:325031.1.1,325032.1.1.1.1.2] equal(divide(inverse(divide(divide(multiply(inverse(X),X),Y),Z)),U),inverse(divide(multiply(divide(V,V),W),divide(Z,divide(inverse(W),divide(Y,U)))))).
% 325053 [para:325032.1.1,325032.1.1.1.1.2] equal(divide(inverse(divide(divide(multiply(inverse(X),X),Y),Z)),U),inverse(divide(divide(multiply(inverse(V),V),W),divide(Z,divide(W,divide(Y,U)))))).
% 325088 [para:325033.1.2,325027.1.1.1] equal(divide(divide(inverse(divide(divide(divide(X,X),Y),Z)),U),divide(Y,U)),Z).
% 325130 [para:325028.1.2,325088.1.1.1,demod:325028] equal(divide(multiply(inverse(divide(divide(divide(X,X),Y),Z)),U),multiply(Y,U)),Z).
% 325131 [para:325028.1.2,325088.1.1.1.1.1] equal(divide(divide(inverse(multiply(divide(divide(X,X),Y),Z)),U),divide(Y,U)),inverse(Z)).
% 325133 [para:325028.1.2,325088.1.1.1.1.1.1.1] equal(divide(divide(inverse(divide(divide(multiply(inverse(X),X),Y),Z)),U),divide(Y,U)),Z).
% 325134 [para:325088.1.1,325027.1.1.1.1.1,demod:325028] equal(divide(inverse(divide(X,divide(Y,divide(multiply(Z,divide(divide(divide(U,U),Z),X)),V)))),V),Y).
% 325147 [para:325088.1.1,325033.1.2.1.2,demod:325027] equal(inverse(divide(divide(divide(X,X),Y),Z)),inverse(divide(divide(divide(U,U),Y),Z))).
% 325150 [para:325033.1.2,325088.1.1.1.1] equal(divide(divide(divide(inverse(divide(divide(divide(X,X),Y),Z)),U),V),divide(W,V)),divide(Z,divide(W,divide(Y,U)))).
% 325153 [para:325088.1.1,325088.1.1.1.1.1.1,demod:325028] equal(divide(divide(inverse(divide(X,Y)),Z),divide(multiply(U,divide(divide(divide(V,V),U),X)),Z)),Y).
% 325157 [para:325028.1.2,325130.1.1.1.1.1.1.1] equal(divide(multiply(inverse(divide(divide(multiply(inverse(X),X),Y),Z)),U),multiply(Y,U)),Z).
% 325189 [para:325131.1.1,325033.1.2.1.2,demod:325028,325027] equal(inverse(multiply(divide(divide(X,X),Y),Z)),inverse(multiply(divide(divide(U,U),Y),Z))).
% 325233 [para:325133.1.1,325033.1.2.1.2,demod:325027] equal(inverse(divide(divide(multiply(inverse(X),X),Y),Z)),inverse(divide(divide(divide(U,U),Y),Z))).
% 325299 [para:325147.1.1,325028.1.2.2,demod:325028] equal(multiply(X,divide(divide(divide(Y,Y),Z),U)),multiply(X,divide(divide(divide(V,V),Z),U))).
% 325370 [para:325189.1.1,325028.1.2.2,demod:325028] equal(multiply(X,multiply(divide(divide(Y,Y),Z),U)),multiply(X,multiply(divide(divide(V,V),Z),U))).
% 325372 [para:325028.1.2,325189.1.1.1.1.1] equal(inverse(multiply(divide(multiply(inverse(X),X),Y),Z)),inverse(multiply(divide(divide(U,U),Y),Z))).
% 325638 [para:325233.1.1,325028.1.2.2,demod:325028] equal(multiply(X,divide(divide(multiply(inverse(Y),Y),Z),U)),multiply(X,divide(divide(divide(V,V),Z),U))).
% 326190 [para:325042.1.1,325034.1.1,demod:325027] equal(inverse(divide(divide(divide(X,X),Y),divide(divide(Z,U),divide(Y,U)))),Z).
% 326283 [para:325028.1.2,326190.1.1.1.1] equal(inverse(divide(multiply(divide(X,X),Y),divide(divide(Z,U),divide(inverse(Y),U)))),Z).
% 326285 [para:325028.1.2,326190.1.1.1.2.1,demod:325028] equal(inverse(divide(divide(divide(X,X),Y),divide(multiply(Z,U),multiply(Y,U)))),Z).
% 326298 [para:326190.1.1,325088.1.1.1.1] equal(divide(divide(X,Y),divide(Z,Y)),divide(divide(X,U),divide(Z,U))).
% 326299 [para:325088.1.1,326190.1.1.1.1,demod:325028] equal(inverse(divide(X,divide(divide(Y,Z),divide(multiply(U,divide(divide(divide(V,V),U),X)),Z)))),Y).
% 326301 [para:326190.1.1,325130.1.1.1.1] equal(divide(multiply(X,Y),multiply(Z,Y)),divide(divide(X,U),divide(Z,U))).
% 326345 [para:326298.1.1,325027.1.1.1.1.1] equal(divide(inverse(divide(divide(divide(X,Y),divide(Z,Y)),divide(U,divide(divide(Z,X),V)))),V),U).
% 326348 [para:325027.1.1,326298.1.1.2] equal(divide(divide(X,Y),Z),divide(divide(X,U),divide(inverse(divide(divide(divide(V,V),W),divide(Z,divide(W,Y)))),U))).
% 326349 [para:326298.1.1,325030.1.1.1.1.1] equal(multiply(inverse(divide(divide(divide(X,Y),divide(Z,Y)),divide(U,multiply(divide(Z,X),V)))),V),U).
% 326367 [para:326298.1.1,325088.1.1.1.1.1] equal(divide(divide(inverse(divide(divide(divide(X,X),Y),divide(Z,Y))),U),divide(V,U)),divide(Z,V)).
% 326370 [para:325088.1.1,326298.1.1.2] equal(divide(divide(X,divide(Y,Z)),U),divide(divide(X,V),divide(divide(inverse(divide(divide(divide(W,W),Y),U)),Z),V))).
% 326448 [para:325028.1.2,326301.1.2.1,demod:325028] equal(divide(multiply(X,Y),multiply(Z,Y)),divide(multiply(X,U),multiply(Z,U))).
% 326764 [para:326285.1.1,325028.1.2.2] equal(multiply(X,divide(divide(divide(Y,Y),Z),divide(multiply(U,V),multiply(Z,V)))),divide(X,U)).
% 326765 [para:325028.1.2,326285.1.1.1.1.1] equal(inverse(divide(divide(multiply(inverse(X),X),Y),divide(multiply(Z,U),multiply(Y,U)))),Z).
% 327333 [para:325088.1.1,325299.1.1.2.1,demod:325028] equal(multiply(X,divide(Y,Z)),multiply(X,divide(divide(divide(U,U),multiply(V,divide(divide(divide(W,W),V),Y))),Z))).
% 327619 [para:325131.1.1,325370.1.1.2.1,demod:325028] equal(multiply(X,multiply(inverse(Y),Z)),multiply(X,multiply(divide(divide(U,U),multiply(V,multiply(divide(divide(W,W),V),Y))),Z))).
% 331291 [para:326367.1.1,326298.1.1.1,demod:325150] equal(divide(divide(X,Y),divide(Z,divide(Y,U))),divide(divide(X,V),divide(Z,divide(V,U)))).
% 331292 [para:326367.1.1,326298.1.1.2,demod:326370] equal(divide(divide(X,divide(Y,Z)),divide(U,Y)),divide(divide(X,divide(V,Z)),divide(U,V))).
% 331367 [para:326367.1.1,325153.1.1] equal(divide(X,multiply(Y,divide(divide(divide(Z,Z),Y),divide(divide(U,U),V)))),divide(X,V)).
% 332276 [para:331367.1.1,325088.1.1.1.1.1,demod:325088] equal(X,multiply(Y,divide(divide(divide(Z,Z),Y),divide(divide(U,U),X)))).
% 332413 [para:326298.1.1,332276.1.2.2] equal(X,multiply(X,divide(divide(divide(Y,Y),Z),divide(divide(U,U),Z)))).
% 332498 [para:325033.1.1,332413.1.2.2.2.1,demod:327333,326348,325028] equal(X,multiply(X,divide(Y,Y))).
% 332502 [para:325131.1.1,332413.1.2.2.2,demod:327619,325028] equal(X,multiply(X,multiply(inverse(Y),Y))).
% 332510 [para:332413.1.2,325157.1.1.1,demod:332413] equal(divide(inverse(divide(divide(multiply(inverse(X),X),Y),Z)),Y),Z).
% 332536 [para:332413.1.2,326301.1.1.1,demod:332413] equal(divide(X,Y),divide(divide(X,Z),divide(Y,Z))).
% 332539 [para:326301.1.1,332413.1.2.2.1.1,demod:332536] equal(X,multiply(X,divide(divide(Y,Y),divide(Z,Z)))).
% 332541 [para:332413.1.2,326448.1.1.1,demod:332539,332536] equal(divide(X,Y),divide(multiply(X,Z),multiply(Y,Z))).
% 332544 [para:332413.1.2,326285.1.1.1.2.1,demod:332539,332536] equal(inverse(divide(divide(X,X),Y)),Y).
% 332545 [para:332413.1.2,326283.1.1.1.1,demod:332544,332536] equal(divide(X,divide(Y,Y)),X).
% 332547 [para:332413.1.2,326765.1.1.1.2.1,demod:332498,332545,332536] equal(inverse(divide(multiply(inverse(X),X),Y)),Y).
% 332572 [para:332413.1.2,326764.1.1.2.2.1,demod:332498,332545,332536] equal(multiply(X,divide(divide(Y,Y),Z)),divide(X,Z)).
% 332631 [para:332498.1.2,325638.1.1,demod:332572,332536] equal(X,divide(X,multiply(inverse(Y),Y))).
% 332642 [para:332545.1.1,325088.1.1.1.1.1,demod:332536,332544] equal(divide(X,X),divide(Y,Y)).
% 332681 [para:332545.1.1,325134.1.1.1.1] equal(divide(inverse(X),Y),divide(multiply(Z,divide(divide(divide(U,U),Z),X)),Y)).
% 332684 [para:325134.1.1,332545.1.1,demod:325028,332545,332681] equal(X,inverse(divide(Y,multiply(X,Y)))).
% 332701 [para:332545.1.1,326299.1.1.1] equal(inverse(X),multiply(Y,divide(divide(divide(Z,Z),Y),X))).
% 332706 [para:332545.1.1,326345.1.1.1.1,demod:332536] equal(divide(inverse(divide(X,Y)),Z),divide(divide(Y,X),Z)).
% 332709 [para:332545.1.1,326349.1.1.1.1,demod:332536] equal(multiply(inverse(divide(X,Y)),Z),multiply(divide(Y,X),Z)).
% 332712 [para:332545.1.1,331291.1.1.2] equal(divide(divide(X,Y),Z),divide(divide(X,U),divide(Z,divide(U,Y)))).
% 332714 [para:332545.1.1,331292.1.1] equal(divide(X,divide(Y,Z)),divide(divide(X,divide(U,Z)),divide(Y,U))).
% 332715 [para:332545.1.1,331292.1.1.2,demod:332714] equal(divide(divide(X,divide(divide(Y,Y),Z)),U),divide(X,divide(U,Z))).
% 332765 [para:325088.1.1,325053.1.2.1.2.2,demod:332547,332714,332715,332706] equal(divide(divide(X,divide(multiply(inverse(Y),Y),Z)),U),divide(X,divide(U,Z))).
% 332775 [para:325053.1.2,325133.1.1.1.1,demod:332536,332765,332706] equal(divide(divide(X,divide(Y,Z)),U),divide(X,divide(U,divide(Z,Y)))).
% 332789 [para:325157.1.1,325053.1.1.1.1.1,demod:332547,332775,332712,332706] equal(divide(divide(X,Y),Z),divide(X,divide(Z,multiply(U,divide(divide(multiply(inverse(V),V),U),Y))))).
% 332837 [para:325053.1.1,325040.1.1.1.1.1.1,demod:332502,332775,332706,332545,332536,332789,325028] equal(divide(X,divide(Y,Z)),inverse(divide(multiply(divide(U,U),V),divide(X,divide(inverse(V),divide(Z,Y)))))).
% 332840 [para:325053.1.1,325040.1.2.1.2.2,demod:332547,332775,332712,332715,332706] equal(divide(X,divide(Y,Z)),inverse(divide(multiply(divide(U,U),divide(divide(multiply(inverse(V),V),W),X1)),divide(X,divide(X1,divide(divide(Z,Y),W)))))).
% 332867 [para:325053.1.1,325042.1.2.1.2.2,demod:332840,332547,332775,332712,325028,332706] equal(divide(divide(X,multiply(divide(Y,Y),Z)),U),divide(X,multiply(U,Z))).
% 332928 [para:325153.1.1,325053.1.2.1.2,demod:325028,332701,332510,332712,332706] equal(divide(X,Y),inverse(divide(multiply(multiply(inverse(Z),Z),Y),X))).
% 332942 [para:325053.1.2,325050.1.2,demod:332928,325028,332867,332706] equal(divide(X,multiply(Y,Z)),divide(divide(X,Z),Y)).
% 332976 [para:325053.1.1,325051.1.1,demod:332837,332547,332942] equal(multiply(divide(X,divide(Y,divide(Z,U))),Y),divide(X,divide(U,Z))).
% 332980 [para:325053.1.1,325051.1.2.1.2,demod:332837,332775,332976,332547,332942] equal(divide(multiply(multiply(X,Y),Z),U),divide(X,divide(U,multiply(Y,Z)))).
% 332983 [para:325053.1.1,325051.1.2.1.2.2.2,demod:332837,332976,332547,332942] equal(divide(multiply(X,multiply(Y,Z)),U),divide(X,divide(U,multiply(Y,Z)))).
% 332997 [para:325053.1.1,326367.1.1.1.1.1.2,demod:332714,332775,332983,332706,332547,332976,332942] equal(divide(X,divide(Y,divide(Z,multiply(divide(U,multiply(V,U)),V)))),divide(multiply(X,Z),Y)).
% 333000 [para:326367.1.1,325053.1.2.1.2.2.2,demod:332976,332536,332547,332997,332775,332983,332706,332942] equal(divide(multiply(X,Y),Z),divide(X,divide(Z,Y))).
% 333006 [para:331291.1.1,325053.1.1.1.1,demod:332631,332942,332706,332714,332775,333000] equal(divide(X,divide(Y,Z)),inverse(divide(inverse(U),divide(X,divide(U,divide(Z,Y)))))).
% 333034 [para:332545.1.1,325053.1.2.1,demod:332545,332631,332942,332706,332714,332775,333000] equal(X,inverse(divide(inverse(Y),divide(X,Y)))).
% 333035 [para:332545.1.1,325053.1.2.1.1,demod:333006,332631,332942,332706,332775,333000] equal(divide(X,divide(Y,Z)),divide(X,divide(U,multiply(divide(Z,Y),U)))).
% 333046 [para:332642.1.1,325031.1.1.1.1.2,demod:332684,332942,333000] equal(divide(X,multiply(Y,multiply(Z,X))),divide(inverse(Z),Y)).
% 333054 [para:332642.1.1,325033.1.2.1.2,demod:332545,332631,332775,332706,333046,332942] equal(X,inverse(inverse(X))).
% 333055 [para:332642.1.1,325033.1.2.1.2.2,demod:332545,333000,325028,332706,333046,332942] equal(divide(X,divide(Y,Z)),inverse(divide(Y,multiply(X,Z)))).
% 333075 [para:332642.1.1,325037.1.2.1.1,demod:333035,332980,332775,333055,325028,332709,333046,332942] equal(multiply(multiply(X,Y),Z),divide(X,divide(inverse(Z),Y))).
% 333090 [para:332642.1.1,325233.1.2.1.1.1,demod:333046,332942,332775,333000] equal(inverse(divide(inverse(X),divide(Y,divide(X,Z)))),inverse(divide(inverse(Z),Y))).
% 333111 [para:332642.1.1,326298.1.1.1,demod:332536,332942] equal(divide(X,multiply(divide(Y,Z),X)),divide(Z,Y)).
% 333112 [para:332642.1.1,326298.1.1.2,demod:332536,332942] equal(divide(X,multiply(divide(Y,Y),Z)),divide(X,Z)).
% 333114 [para:332642.1.1,325043.1.1.1.1.1,demod:333000,332541,333075,333112,332545,333055,332942] equal(multiply(X,Y),divide(X,divide(Z,multiply(Y,Z)))).
% 333115 [para:332642.1.1,325043.1.1.1.1.1.1,demod:333114,332983,333055,332541,333075,325028,332709,333046,332942] equal(multiply(multiply(X,Y),Z),multiply(X,multiply(Y,Z))).
% 333117 [para:332642.1.1,325044.1.1.1.1,demod:332545,333055,332541,325028,333046,333114,332983,333000,333115,333075,332942,332706] equal(divide(X,multiply(Y,X)),inverse(Y)).
% 333125 [para:332642.1.1,325045.1.2.1.1,demod:333046,333055,333115,333075,333000,325028,332706,333117,332942] equal(divide(X,divide(Y,Z)),multiply(X,multiply(divide(Z,multiply(U,Y)),U))).
% 333138 [para:332642.1.1,325049.1.1.1.1,demod:333034,333125,333115,333075,332714,332775,333117,332942,333000,332709] equal(multiply(divide(X,X),Y),Y).
% 333139 [para:332642.1.1,325049.1.1.1.1.1,demod:333090,332714,332775,333138,333000,333054,333117,332942] equal(multiply(X,Y),inverse(divide(inverse(Y),X))).
% 333151 [para:332642.1.1,326349.1.1.1.1.1,demod:332709,333111,332942,333138] equal(multiply(divide(X,Y),Y),X).
% 333161 [para:325147.1.1,333054.1.2.1,demod:333139,333117,332942] equal(divide(inverse(X),Y),inverse(multiply(Y,X))).
% 333169 [para:333151.1.1,325372.1.1.1,demod:333117,332942,325028,333161,slowcut:325029] 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
% seconds given: 180
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 1514
% derived clauses: 6686444
% kept clauses: 82822
% kept size sum: 262518
% kept mid-nuclei: 0
% kept new demods: 4268
% forw unit-subs: 1152730
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 29
% fast unit cutoff: 0
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 91.5
% process. runtime: 90.85
% 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/GRP478-1+eq_r.in")
%
%------------------------------------------------------------------------------