TSTP Solution File: GRP071-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP071-1 : TPTP v3.4.2. Bugfixed v2.3.0.
% Transfm : add_equality:r
% Format : otter:hypothesis:set(auto),clear(print_given)
% Command : gandalf-wrapper -time %d %s
% Computer : art04.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/GRP071-1+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: peq
%
% strategies selected:
% (hyper 30 #f 6 5)
% (binary-unit 12 #f)
% (binary-unit-uniteq 12 #f)
% (binary-posweight-kb-big-order 60 #f 6 5)
% (binary-posweight-lex-big-order 30 #f 6 5)
% (binary 30 #t)
% (binary-posweight-kb-big-order 156 #f)
% (binary-posweight-lex-big-order 102 #f)
% (binary-posweight-firstpref-order 60 #f)
% (binary-order 30 #f)
% (binary-posweight-kb-small-order 48 #f)
% (binary-posweight-lex-small-order 30 #f)
%
%
% SOS clause
% -equal(multiply(inverse(a1),a1),multiply(inverse(b1),b1)) | -equal(multiply(multiply(inverse(b2),b2),a2),a2) | -equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))).
% was split for some strategies as:
% -equal(multiply(inverse(a1),a1),multiply(inverse(b1),b1)).
% -equal(multiply(multiply(inverse(b2),b2),a2),a2).
% -equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))).
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(4,40,0,8,0,0)
%
%
% START OF PROOF
% 5 [] equal(X,X).
% 6 [] equal(divide(inverse(divide(X,divide(Y,divide(Z,U)))),divide(divide(U,Z),X)),Y).
% 7 [] equal(multiply(X,Y),divide(X,inverse(Y))).
% 8 [] -equal(multiply(multiply(inverse(b2),b2),a2),a2) | -equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) | -equal(multiply(inverse(a1),a1),multiply(inverse(b1),b1)).
% 9 [para:7.1.2,6.1.1.1.1.2.2] equal(divide(inverse(divide(X,divide(Y,multiply(Z,U)))),divide(divide(inverse(U),Z),X)),Y).
% 10 [para:7.1.2,6.1.1.2] equal(divide(inverse(divide(inverse(X),divide(Y,divide(Z,U)))),multiply(divide(U,Z),X)),Y).
% 11 [para:6.1.1,6.1.1.1.1,demod:7] equal(divide(inverse(X),multiply(divide(Y,Z),divide(divide(Z,Y),divide(X,divide(U,V))))),divide(V,U)).
% 12 [para:6.1.1,6.1.1.1.1.2] equal(divide(inverse(divide(X,Y)),divide(divide(Z,divide(U,V)),X)),inverse(divide(Z,divide(Y,divide(V,U))))).
% 14 [para:9.1.1,6.1.1.1.1,demod:7] equal(divide(inverse(X),multiply(divide(Y,Z),divide(divide(Z,Y),divide(X,multiply(U,V))))),divide(inverse(V),U)).
% 15 [para:6.1.1,9.1.1.1.1,demod:7] equal(divide(inverse(X),multiply(divide(inverse(Y),Z),divide(multiply(Z,Y),divide(X,divide(U,V))))),divide(V,U)).
% 17 [para:6.1.1,10.1.1.1.1.2] equal(divide(inverse(divide(inverse(X),Y)),multiply(divide(Z,divide(U,V)),X)),inverse(divide(Z,divide(Y,divide(V,U))))).
% 19 [para:7.1.2,11.1.1.2.1] equal(divide(inverse(X),multiply(multiply(Y,Z),divide(divide(inverse(Z),Y),divide(X,divide(U,V))))),divide(V,U)).
% 20 [para:6.1.1,11.1.1.2.2.2.2,demod:7] equal(divide(inverse(X),multiply(divide(Y,Z),divide(divide(Z,Y),divide(X,U)))),multiply(divide(divide(V,W),X1),divide(X1,divide(U,divide(W,V))))).
% 24 [para:11.1.1,11.1.1.2.2.2.2,demod:7,11] equal(divide(X,Y),multiply(multiply(divide(Z,U),divide(divide(U,Z),divide(V,divide(X,Y)))),V)).
% 28 [para:6.1.1,24.1.2.1.2.2] equal(divide(divide(X,Y),Z),multiply(multiply(divide(U,V),divide(divide(V,U),W)),inverse(divide(Z,divide(W,divide(Y,X)))))).
% 29 [para:6.1.1,24.1.2.1.2.2.2,demod:6] equal(X,multiply(multiply(divide(Y,Z),divide(divide(Z,Y),divide(U,X))),U)).
% 30 [para:9.1.1,24.1.2.1.2.2] equal(divide(divide(inverse(X),Y),Z),multiply(multiply(divide(U,V),divide(divide(V,U),W)),inverse(divide(Z,divide(W,multiply(Y,X)))))).
% 31 [para:7.1.2,29.1.2.1.1] equal(X,multiply(multiply(multiply(Y,Z),divide(divide(inverse(Z),Y),divide(U,X))),U)).
% 32 [para:7.1.2,29.1.2.1.2.1] equal(X,multiply(multiply(divide(inverse(Y),Z),divide(multiply(Z,Y),divide(U,X))),U)).
% 33 [para:7.1.2,29.1.2.1.2.2] equal(inverse(X),multiply(multiply(divide(Y,Z),divide(divide(Z,Y),multiply(U,X))),U)).
% 34 [para:11.1.1,29.1.2.1.2.2] equal(multiply(divide(X,Y),divide(divide(Y,X),divide(Z,divide(U,V)))),multiply(multiply(divide(W,X1),divide(divide(X1,W),divide(V,U))),inverse(Z))).
% 36 [para:7.1.2,31.1.2.1.2.2] equal(inverse(X),multiply(multiply(multiply(Y,Z),divide(divide(inverse(Z),Y),multiply(U,X))),U)).
% 40 [para:7.1.2,12.1.1.1.1] equal(divide(inverse(multiply(X,Y)),divide(divide(Z,divide(U,V)),X)),inverse(divide(Z,divide(inverse(Y),divide(V,U))))).
% 41 [para:7.1.2,12.1.1.2.1.2] equal(divide(inverse(divide(X,Y)),divide(divide(Z,multiply(U,V)),X)),inverse(divide(Z,divide(Y,divide(inverse(V),U))))).
% 44 [para:6.1.1,32.1.2.1.2.2] equal(divide(divide(X,Y),Z),multiply(multiply(divide(inverse(U),V),divide(multiply(V,U),W)),inverse(divide(Z,divide(W,divide(Y,X)))))).
% 45 [para:9.1.1,32.1.2.1.2.2] equal(divide(divide(inverse(X),Y),Z),multiply(multiply(divide(inverse(U),V),divide(multiply(V,U),W)),inverse(divide(Z,divide(W,multiply(Y,X)))))).
% 47 [para:29.1.2,33.1.2.1.2.2] equal(inverse(X),multiply(multiply(divide(Y,Z),divide(divide(Z,Y),U)),multiply(divide(V,W),divide(divide(W,V),divide(X,U))))).
% 50 [para:33.1.2,33.1.2.1.2.2,demod:7] equal(inverse(X),multiply(multiply(divide(Y,Z),multiply(divide(Z,Y),U)),multiply(divide(V,W),divide(divide(W,V),multiply(X,U))))).
% 73 [para:11.1.1,14.1.1.2.2.2] equal(divide(inverse(inverse(X)),multiply(divide(Y,Z),divide(divide(Z,Y),divide(U,V)))),divide(inverse(divide(divide(W,X1),divide(X,divide(V,U)))),divide(X1,W))).
% 74 [para:14.1.1,29.1.2.1.2.2] equal(multiply(divide(X,Y),divide(divide(Y,X),divide(Z,multiply(U,V)))),multiply(multiply(divide(W,X1),divide(divide(X1,W),divide(inverse(V),U))),inverse(Z))).
% 75 [para:29.1.2,14.1.1.2.2.2.2] equal(divide(inverse(X),multiply(divide(Y,Z),divide(divide(Z,Y),divide(X,U)))),divide(inverse(V),multiply(divide(W,X1),divide(divide(X1,W),divide(V,U))))).
% 76 [para:14.1.1,31.1.2.1.2.2] equal(multiply(divide(X,Y),divide(divide(Y,X),divide(Z,multiply(U,V)))),multiply(multiply(multiply(W,X1),divide(divide(inverse(X1),W),divide(inverse(V),U))),inverse(Z))).
% 77 [para:31.1.2,14.1.1.2.2.2.2] equal(divide(inverse(X),multiply(divide(Y,Z),divide(divide(Z,Y),divide(X,U)))),divide(inverse(V),multiply(multiply(W,X1),divide(divide(inverse(X1),W),divide(V,U))))).
% 137 [para:7.1.2,17.1.1.2.1.2] equal(divide(inverse(divide(inverse(X),Y)),multiply(divide(Z,multiply(U,V)),X)),inverse(divide(Z,divide(Y,divide(inverse(V),U))))).
% 138 [para:7.1.2,40.1.1.2.1.2] equal(divide(inverse(multiply(X,Y)),divide(divide(Z,multiply(U,V)),X)),inverse(divide(Z,divide(inverse(Y),divide(inverse(V),U))))).
% 166 [para:20.1.1,11.1.1] equal(multiply(divide(divide(X,Y),Z),divide(Z,divide(divide(U,V),divide(Y,X)))),divide(V,U)).
% 168 [para:20.1.1,14.1.1] equal(multiply(divide(divide(X,Y),Z),divide(Z,divide(multiply(U,V),divide(Y,X)))),divide(inverse(V),U)).
% 172 [para:7.1.2,166.1.1.1] equal(multiply(multiply(divide(X,Y),Z),divide(inverse(Z),divide(divide(U,V),divide(Y,X)))),divide(V,U)).
% 173 [para:7.1.2,166.1.1.1.1] equal(multiply(divide(multiply(X,Y),Z),divide(Z,divide(divide(U,V),divide(inverse(Y),X)))),divide(V,U)).
% 182 [para:7.1.2,168.1.1.1] equal(multiply(multiply(divide(X,Y),Z),divide(inverse(Z),divide(multiply(U,V),divide(Y,X)))),divide(inverse(V),U)).
% 193 [para:7.1.2,172.1.1.1.1] equal(multiply(multiply(multiply(X,Y),Z),divide(inverse(Z),divide(divide(U,V),divide(inverse(Y),X)))),divide(V,U)).
% 220 [para:7.1.2,182.1.1.1.1] equal(multiply(multiply(multiply(X,Y),Z),divide(inverse(Z),divide(multiply(U,V),divide(inverse(Y),X)))),divide(inverse(V),U)).
% 345 [para:7.1.2,138.1.2.1.2.2] equal(divide(inverse(multiply(X,Y)),divide(divide(Z,multiply(inverse(U),V)),X)),inverse(divide(Z,divide(inverse(Y),multiply(inverse(V),U))))).
% 346 [para:138.1.2,6.1.1.1,demod:7] equal(divide(divide(inverse(multiply(X,Y)),divide(divide(Z,multiply(U,V)),X)),divide(multiply(U,V),Z)),inverse(Y)).
% 358 [para:11.1.1,346.1.1.1.2.1,demod:29,7] equal(divide(divide(inverse(multiply(X,Y)),divide(divide(Z,U),X)),divide(U,Z)),inverse(Y)).
% 361 [para:33.1.2,346.1.1.1.2.1.2,demod:33,7] equal(divide(divide(inverse(multiply(X,Y)),divide(multiply(Z,U),X)),divide(inverse(U),Z)),inverse(Y)).
% 363 [para:14.1.1,346.1.1.1.2.1,demod:29,7] equal(divide(divide(inverse(multiply(X,Y)),divide(divide(inverse(Z),U),X)),multiply(U,Z)),inverse(Y)).
% 390 [para:358.1.1,29.1.2.1.2,demod:7] equal(X,multiply(multiply(multiply(divide(divide(X,Y),Z),multiply(Z,U)),inverse(U)),Y)).
% 436 [para:7.1.2,390.1.2.1.1.1] equal(X,multiply(multiply(multiply(multiply(divide(X,Y),Z),multiply(inverse(Z),U)),inverse(U)),Y)).
% 437 [para:7.1.2,390.1.2.1.1.1.1] equal(X,multiply(multiply(multiply(divide(multiply(X,Y),Z),multiply(Z,U)),inverse(U)),inverse(Y))).
% 459 [para:7.1.2,436.1.2.1.1.1.1] equal(X,multiply(multiply(multiply(multiply(multiply(X,Y),Z),multiply(inverse(Z),U)),inverse(U)),inverse(Y))).
% 486 [para:34.1.2,29.1.2,demod:7] equal(X,multiply(divide(Y,Z),divide(divide(Z,Y),divide(U,multiply(X,U))))).
% 487 [para:34.1.1,29.1.2.1] equal(divide(X,Y),multiply(multiply(multiply(divide(Z,U),divide(divide(U,Z),divide(Y,X))),inverse(V)),V)).
% 496 [para:7.1.2,486.1.2.1] equal(X,multiply(multiply(Y,Z),divide(divide(inverse(Z),Y),divide(U,multiply(X,U))))).
% 497 [para:7.1.2,486.1.2.2.1] equal(X,multiply(divide(inverse(Y),Z),divide(multiply(Z,Y),divide(U,multiply(X,U))))).
% 523 [para:28.1.2,486.1.2.2.2.2,demod:6] equal(multiply(divide(X,Y),divide(divide(Y,X),Z)),multiply(divide(U,V),divide(divide(V,U),Z))).
% 527 [para:358.1.1,486.1.2.2,demod:7] equal(X,multiply(multiply(divide(divide(multiply(X,Y),Y),Z),multiply(Z,U)),inverse(U))).
% 896 [para:390.1.2,459.1.2.1.1] equal(divide(divide(X,multiply(inverse(inverse(Y)),Z)),U),multiply(multiply(X,inverse(Z)),inverse(multiply(U,Y)))).
% 1308 [para:7.1.2,523.1.1.2,demod:7] equal(multiply(divide(X,Y),multiply(divide(Y,X),Z)),multiply(divide(U,V),multiply(divide(V,U),Z))).
% 1712 [para:486.1.2,487.1.2.1.1] equal(divide(multiply(X,Y),Y),multiply(multiply(X,inverse(Z)),Z)).
% 1761 [para:1712.1.1,7.1.2] equal(multiply(multiply(X,inverse(Y)),Y),multiply(multiply(X,inverse(Z)),Z)).
% 1852 [para:1712.1.2,390.1.2] equal(X,divide(multiply(multiply(divide(divide(X,Y),Z),multiply(Z,Y)),U),U)).
% 1871 [para:1712.1.2,437.1.2] equal(X,divide(multiply(multiply(divide(multiply(X,Y),Z),multiply(Z,inverse(Y))),U),U)).
% 1932 [para:1712.1.2,896.1.2] equal(divide(divide(X,multiply(inverse(inverse(Y)),inverse(multiply(Z,Y)))),Z),divide(multiply(X,U),U)).
% 1970 [para:1712.1.2,1712.1.2] equal(divide(multiply(X,Y),Y),divide(multiply(X,Z),Z)).
% 1972 [para:1970.1.1,7.1.2] equal(multiply(multiply(X,inverse(Y)),Y),divide(multiply(X,Z),Z)).
% 2018 [para:1970.1.1,166.1.1.2.2.1,demod:166] equal(divide(X,multiply(Y,X)),divide(Z,multiply(Y,Z))).
% 2116 [para:1970.1.1,497.1.2.2] equal(X,multiply(divide(inverse(divide(Y,multiply(X,Y))),Z),divide(multiply(Z,U),U))).
% 2204 [para:2018.1.1,33.1.2.1.2] equal(inverse(divide(X,Y)),multiply(multiply(divide(Y,X),divide(Z,multiply(U,Z))),U)).
% 2206 [para:2018.1.1,36.1.2.1.2] equal(inverse(divide(inverse(X),Y)),multiply(multiply(multiply(Y,X),divide(Z,multiply(U,Z))),U)).
% 2300 [para:44.1.2,2018.1.1.2,demod:6] equal(X,divide(Y,multiply(multiply(divide(inverse(Z),U),divide(multiply(U,Z),X)),Y))).
% 2359 [para:1712.1.2,1972.1.1.1] equal(multiply(divide(multiply(X,Y),Y),Z),divide(multiply(multiply(X,inverse(inverse(Z))),U),U)).
% 2926 [para:50.1.2,2018.1.1.2,demod:33,7] equal(inverse(X),divide(Y,multiply(multiply(divide(Z,U),multiply(divide(U,Z),X)),Y))).
% 3527 [para:1970.1.1,1871.1.2.1.1.1] equal(X,divide(multiply(multiply(divide(multiply(X,Y),Y),multiply(Z,inverse(Z))),U),U)).
% 4001 [para:1970.1.1,2300.1.2.2.1.2] equal(X,divide(Y,multiply(multiply(divide(inverse(X),Z),divide(multiply(Z,U),U)),Y))).
% 4618 [para:3527.1.2,7.1.2] equal(multiply(multiply(multiply(divide(multiply(X,Y),Y),multiply(Z,inverse(Z))),inverse(U)),U),X).
% 5551 [para:2206.1.2,1970.1.1.1] equal(divide(inverse(divide(inverse(X),Y)),Z),divide(multiply(multiply(multiply(Y,X),divide(U,multiply(Z,U))),V),V)).
% 6966 [para:1932.1.1,390.1.2.1.1.1.1,demod:527] equal(divide(X,multiply(inverse(inverse(Y)),inverse(multiply(Z,Y)))),multiply(X,Z)).
% 6977 [para:6966.1.1,29.1.2.1.2.2,demod:33] equal(multiply(inverse(inverse(X)),inverse(multiply(Y,X))),inverse(Y)).
% 7010 [para:6966.1.1,2018.1.1] equal(multiply(inverse(multiply(X,Y)),X),divide(Z,multiply(inverse(inverse(Y)),Z))).
% 7045 [para:29.1.2,6977.1.1.2.1] equal(multiply(inverse(inverse(X)),inverse(Y)),inverse(multiply(divide(Z,U),divide(divide(U,Z),divide(X,Y))))).
% 7096 [para:6977.1.1,1712.1.1.1,demod:7] equal(multiply(inverse(X),multiply(X,Y)),multiply(multiply(inverse(inverse(Y)),inverse(Z)),Z)).
% 7296 [para:7010.1.1,1852.1.2.1.1.2,demod:5551,7] equal(X,multiply(inverse(divide(inverse(multiply(Y,Z)),divide(X,Y))),inverse(Z))).
% 7334 [para:7010.1.2,6966.1.1] equal(multiply(inverse(multiply(X,Y)),X),multiply(inverse(multiply(Z,Y)),Z)).
% 7960 [para:7296.1.2,33.1.2.1.2.2] equal(inverse(inverse(X)),multiply(multiply(divide(Y,Z),divide(divide(Z,Y),U)),inverse(divide(inverse(multiply(V,X)),divide(U,V))))).
% 8168 [para:363.1.1,74.1.1.2.2,demod:7960,7] equal(multiply(divide(X,Y),multiply(divide(Y,X),Z)),inverse(inverse(Z))).
% 8377 [para:8168.1.1,2926.1.2.2.1] equal(inverse(X),divide(Y,multiply(inverse(inverse(X)),Y))).
% 8523 [para:8377.1.2,6966.1.1] equal(inverse(X),multiply(inverse(multiply(Y,X)),Y)).
% 8545 [para:172.1.1,8523.1.2.1.1] equal(inverse(divide(inverse(X),divide(divide(Y,Z),divide(U,V)))),multiply(inverse(divide(Z,Y)),multiply(divide(V,U),X))).
% 8634 [para:47.1.2,8523.1.2.1.1,demod:7045] equal(multiply(inverse(inverse(X)),inverse(Y)),multiply(inverse(inverse(X)),multiply(divide(Z,U),divide(divide(U,Z),Y)))).
% 8703 [para:75.1.1,6.1.1.2.1,demod:8545,41,29,7] equal(multiply(inverse(divide(X,Y)),X),Y).
% 8775 [para:14.1.1,8703.1.1.1.1] equal(multiply(inverse(divide(inverse(X),Y)),inverse(Z)),multiply(divide(U,V),divide(divide(V,U),divide(Z,multiply(Y,X))))).
% 8817 [para:8703.1.1,486.1.2.2.2.2] equal(inverse(divide(X,Y)),multiply(divide(Z,U),divide(divide(U,Z),divide(X,Y)))).
% 8819 [para:8703.1.1,496.1.2.2.2.2] equal(inverse(divide(X,Y)),multiply(multiply(Z,U),divide(divide(inverse(U),Z),divide(X,Y)))).
% 8822 [para:8703.1.1,527.1.2.1.1.1.1] equal(inverse(divide(X,Y)),multiply(multiply(divide(divide(Y,X),Z),multiply(Z,U)),inverse(U))).
% 8876 [para:2018.1.1,8703.1.1.1.1] equal(multiply(inverse(divide(X,multiply(Y,X))),Z),multiply(Y,Z)).
% 8883 [para:8703.1.1,50.1.2.2.2.2,demod:8634,8168] equal(inverse(inverse(divide(X,Y))),multiply(inverse(inverse(X)),inverse(Y))).
% 8891 [para:8703.1.1,2116.1.2.2.1,demod:8876,7] equal(X,multiply(multiply(X,divide(Y,Z)),divide(Z,Y))).
% 8905 [para:8703.1.1,4001.1.2.2.1.2.1,demod:8891,7] equal(X,divide(Y,multiply(inverse(X),Y))).
% 8958 [para:358.1.1,76.1.1.2,demod:8819,8822,7] equal(inverse(divide(X,multiply(Y,Z))),multiply(inverse(divide(inverse(Z),Y)),inverse(X))).
% 8959 [para:76.1.1,486.1.2,demod:8958,8819] equal(X,inverse(divide(Y,multiply(X,Y)))).
% 9019 [para:1852.1.2,76.1.1.2.2,demod:1852,8958,8819] equal(multiply(divide(X,Y),divide(divide(Y,X),Z)),inverse(Z)).
% 9138 [para:8905.1.2,33.1.2.1.2] equal(inverse(divide(X,Y)),multiply(multiply(divide(Y,X),Z),inverse(Z))).
% 9259 [para:7296.1.2,8905.1.2.2] equal(divide(inverse(multiply(X,Y)),divide(Z,X)),divide(inverse(Y),Z)).
% 9262 [para:8959.1.2,7.1.2.2] equal(multiply(X,divide(Y,multiply(Z,Y))),divide(X,Z)).
% 9288 [para:8959.1.2,361.1.1.2.1,demod:9259,9262] equal(divide(divide(inverse(X),divide(Y,Z)),divide(Z,Y)),inverse(X)).
% 9296 [para:896.1.2,8959.1.2.1.2,demod:8905,345] equal(multiply(X,inverse(Y)),inverse(inverse(divide(X,Y)))).
% 9299 [para:1308.1.1,8959.1.2.1.2,demod:9296,9138,7,8168] equal(divide(X,Y),multiply(X,inverse(Y))).
% 9302 [para:487.1.2,8959.1.2.1.2,demod:9299,8817] equal(divide(inverse(divide(X,Y)),Z),inverse(divide(Z,divide(Y,X)))).
% 9305 [para:1761.1.1,8959.1.2.1.2,demod:9299] equal(divide(X,Y),inverse(divide(Y,multiply(divide(X,Z),Z)))).
% 9367 [para:7096.1.1,8959.1.2.1.2,demod:9305,9299,9296,8883] equal(inverse(X),divide(Y,multiply(X,Y))).
% 9371 [para:8959.1.2,74.1.2.2,demod:8817,8958,8775,9367] equal(inverse(divide(inverse(X),multiply(Y,Z))),multiply(inverse(divide(inverse(Z),Y)),X)).
% 9378 [para:9299.1.2,29.1.2,demod:8817] equal(X,divide(inverse(divide(inverse(Y),X)),Y)).
% 9381 [para:9299.1.2,33.1.2.1.2.2,demod:8703,8817] equal(inverse(inverse(X)),X).
% 9404 [para:9299.1.2,896.1.2,demod:9299,9381] equal(divide(divide(X,multiply(Y,Z)),U),divide(divide(X,Z),multiply(U,Y))).
% 9410 [para:9299.1.2,2018.1.1.2,demod:9367] equal(divide(inverse(X),divide(Y,X)),inverse(Y)).
% 9420 [para:9299.1.2,2204.1.2,demod:8905] equal(inverse(divide(X,Y)),divide(multiply(divide(Y,X),Z),Z)).
% 9437 [para:9299.1.2,2206.1.2.1.2.2,demod:9299,9410] equal(inverse(divide(inverse(X),Y)),multiply(divide(multiply(Y,X),Z),Z)).
% 9440 [para:9299.1.2,2359.1.2.1,demod:9437,7,9381] equal(multiply(divide(multiply(X,Y),Y),Z),inverse(divide(inverse(Z),X))).
% 9444 [para:9299.1.2,4618.1.1,demod:9378,9371,9381,9440,9299] equal(multiply(X,divide(Y,Y)),X).
% 9465 [para:9381.1.1,896.1.2.1.2,demod:9299,9381] equal(divide(divide(X,divide(Y,Z)),U),divide(multiply(X,Z),multiply(U,Y))).
% 9473 [para:9381.1.1,73.1.1.1,demod:9288,9302,7,8817] equal(multiply(X,divide(Y,Z)),inverse(divide(divide(Z,Y),X))).
% 9474 [para:9381.1.1,73.1.1.1.1,demod:9420,9473,7,8817] equal(multiply(inverse(X),divide(Y,Z)),inverse(multiply(divide(Z,Y),X))).
% 9487 [para:9444.1.1,11.1.1.2,demod:9410] equal(inverse(divide(X,Y)),divide(Y,X)).
% 9488 [para:9444.1.1,29.1.2.1] equal(X,multiply(divide(X,Y),Y)).
% 9489 [para:9444.1.1,31.1.2.1,demod:9299] equal(X,divide(multiply(X,Y),Y)).
% 9497 [para:9444.1.1,14.1.1.2,demod:9410] equal(inverse(multiply(X,Y)),divide(inverse(Y),X)).
% 9498 [para:9444.1.1,14.1.1.2.2.2.2,demod:9410,9487,8817] equal(inverse(X),divide(divide(Y,Y),X)).
% 9511 [para:9444.1.1,173.1.1.1.1,demod:7,9498,9487] equal(multiply(divide(X,Y),divide(Y,multiply(divide(Z,U),X))),divide(U,Z)).
% 9521 [para:9444.1.1,193.1.1.1.1,demod:7,9498,9487] equal(multiply(multiply(X,Y),divide(inverse(Y),multiply(divide(Z,U),X))),divide(U,Z)).
% 9538 [para:9444.1.1,137.1.1.2,demod:7,9473,9302,9381,9498,9487] equal(divide(X,divide(Y,multiply(Z,U))),divide(multiply(X,multiply(Z,U)),Y)).
% 9541 [para:9444.1.1,30.1.2.2.1.2.2,demod:9497,9474,9302,9019,9498,9487] equal(divide(inverse(X),Y),divide(inverse(Z),divide(Y,divide(Z,X)))).
% 9544 [para:9444.1.1,390.1.2,demod:9489,9404,9367,9538,9299,9465] equal(X,divide(X,multiply(inverse(Y),Y))).
% 9547 [para:9444.1.1,497.1.2.2.1,demod:7,9367,9498,9487] equal(X,multiply(inverse(Y),multiply(Y,X))).
% 9563 [para:9444.1.1,45.1.2.1.2.1,demod:9541,9497,9404,9302,9488,9474,9498,9487] equal(divide(divide(inverse(X),Y),Z),divide(inverse(X),multiply(Z,Y))).
% 9590 [para:9444.1.1,7334.1.1.1.1,demod:9444] equal(multiply(inverse(X),X),multiply(inverse(Y),Y)).
% 9591 [para:9444.1.1,73.1.1.2,demod:9420,9473,9381] equal(divide(X,divide(Y,Z)),multiply(X,divide(Z,Y))).
% 9594 [para:6.1.1,77.1.1.2.2.2,demod:9410,9521,9563,9544,9404,9019,9487,9465,9591,9473,9302] equal(divide(multiply(X,Y),Z),divide(X,divide(Z,Y))).
% 9599 [para:14.1.1,77.1.1.2.2.2,demod:9541,9465,9521,9563,9594,9299,8775,7,9487,8817,9381] equal(divide(X,multiply(Y,Z)),divide(divide(X,Z),Y)).
% 9600 [para:77.1.1,15.1.1.2.1,demod:9487,9541,9497,9594,9465,9474,9488,9511,9599,9410,9521,9563] equal(divide(inverse(X),divide(Y,multiply(X,Z))),divide(Z,Y)).
% 9603 [para:19.1.1,77.1.1.2.2.2,demod:9404,9521,9563,9511,9599,9381] equal(divide(X,divide(Y,Z)),divide(inverse(U),divide(Y,multiply(multiply(U,X),Z)))).
% 9626 [para:77.1.1,487.1.2.1.1.1,demod:9299,9600,9497,9474,9544,9511,9599,9410,9521,9563] equal(divide(X,Y),multiply(divide(X,multiply(Z,Y)),Z)).
% 9652 [para:9489.1.2,9.1.1.1.1.2,demod:9626,9599,9563,9487] equal(divide(X,divide(inverse(Y),Z)),multiply(X,multiply(Z,Y))).
% 9658 [para:220.1.1,9489.1.2.1,demod:9603,9626,9652,9563,9594] equal(multiply(multiply(X,Y),Z),multiply(X,multiply(Y,Z))).
% 9676 [hyper:8,9590,demod:9547,9658,cut:5,cut:5] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using hyperresolution
% not using sos strategy
% using positive unit paramodulation strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% clause length limited to 5
% clause depth limited to 6
% seconds given: 10
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 258
% derived clauses: 136276
% kept clauses: 9666
% kept size sum: 252993
% kept mid-nuclei: 0
% kept new demods: 2671
% forw unit-subs: 51978
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 15
% fast unit cutoff: 1
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 4.16
% process. runtime: 4.13
% 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/GRP071-1+eq_r.in")
%
%------------------------------------------------------------------------------