TSTP Solution File: GRP411-1 by Gandalf---c-2.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP411-1 : 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 : art10.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 118.5s
% Output : Assurance 118.5s
% 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/GRP411-1+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 7 1)
% (binary-posweight-lex-big-order 30 #f 7 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(3,40,0,6,0,0,6,50,0,9,0,0,22,50,2,25,0,2,48,50,13,51,0,13,110261,3,2967,175752,4,4475,241693,5,5914,241701,1,5914,241701,50,5918,241701,40,5918,241704,0,5918,241704,50,5918,241707,0,5931,241720,50,5933,241723,0,5941,241746,50,5946,241749,0,5954,323988,3,7406,377501,4,8137,418777,5,8855,418778,1,8855,418778,50,8859,418778,40,8859,418781,0,8859,418781,50,8859,418781,40,8859,418784,0,8868)
%
%
% START OF PROOF
% 418783 [] equal(multiply(multiply(inverse(multiply(X,inverse(multiply(Y,Z)))),multiply(X,inverse(Z))),inverse(multiply(inverse(Z),Z))),Y).
% 418784 [] -equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))).
% 418785 [para:418783.1.1,418783.1.1.1.1.1] equal(multiply(multiply(inverse(X),multiply(multiply(inverse(multiply(Y,inverse(multiply(X,Z)))),multiply(Y,inverse(Z))),inverse(Z))),inverse(multiply(inverse(Z),Z))),inverse(Z)).
% 418786 [para:418783.1.1,418783.1.1.1.1.1.2.1] equal(multiply(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(Y,Z)))),multiply(U,inverse(Z)))).
% 418787 [para:418783.1.1,418783.1.1.1.2] equal(multiply(multiply(inverse(multiply(multiply(inverse(multiply(X,inverse(multiply(Y,Z)))),multiply(X,inverse(Z))),inverse(multiply(U,multiply(inverse(Z),Z))))),Y),inverse(multiply(inverse(multiply(inverse(Z),Z)),multiply(inverse(Z),Z)))),U).
% 418788 [para:418785.1.1,418783.1.1.1.1.1] equal(multiply(multiply(inverse(inverse(X)),multiply(multiply(inverse(Y),multiply(multiply(inverse(multiply(Z,inverse(multiply(Y,X)))),multiply(Z,inverse(X))),inverse(X))),inverse(X))),inverse(multiply(inverse(X),X))),inverse(X)).
% 418789 [para:418785.1.1,418783.1.1.1.1.1.2.1] equal(multiply(multiply(inverse(multiply(X,inverse(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(multiply(inverse(multiply(U,inverse(multiply(Z,Y)))),multiply(U,inverse(Y))),inverse(Y)))).
% 418795 [para:418785.1.1,418785.1.1.1.2.1.2] equal(multiply(multiply(inverse(X),multiply(multiply(inverse(multiply(multiply(inverse(Y),multiply(multiply(inverse(multiply(Z,inverse(multiply(Y,U)))),multiply(Z,inverse(U))),inverse(U))),inverse(multiply(X,multiply(inverse(U),U))))),inverse(U)),inverse(multiply(inverse(U),U)))),inverse(multiply(inverse(multiply(inverse(U),U)),multiply(inverse(U),U)))),inverse(multiply(inverse(U),U))).
% 418801 [para:418788.1.1,418785.1.1.1.2.1.1.1.2.1] equal(multiply(multiply(inverse(multiply(inverse(inverse(X)),multiply(multiply(inverse(Y),multiply(multiply(inverse(multiply(Z,inverse(multiply(Y,X)))),multiply(Z,inverse(X))),inverse(X))),inverse(X)))),multiply(multiply(inverse(multiply(U,inverse(inverse(X)))),multiply(U,inverse(inverse(multiply(inverse(X),X))))),inverse(inverse(multiply(inverse(X),X))))),inverse(multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(X),X))))),inverse(inverse(multiply(inverse(X),X)))).
% 418804 [para:418785.1.1,418788.1.1.1.2.1.2.1.2] equal(multiply(multiply(inverse(inverse(multiply(inverse(X),X))),multiply(multiply(inverse(Y),multiply(multiply(inverse(multiply(multiply(inverse(Z),multiply(multiply(inverse(multiply(U,inverse(multiply(Z,X)))),multiply(U,inverse(X))),inverse(X))),inverse(multiply(Y,multiply(inverse(X),X))))),inverse(X)),inverse(multiply(inverse(X),X)))),inverse(multiply(inverse(X),X)))),inverse(multiply(inverse(multiply(inverse(X),X)),multiply(inverse(X),X)))),inverse(multiply(inverse(X),X))).
% 418808 [para:418786.1.1,418783.1.1] equal(multiply(inverse(multiply(X,inverse(multiply(multiply(Y,inverse(multiply(inverse(Z),Z))),Z)))),multiply(X,inverse(Z))),Y).
% 418828 [para:418788.1.1,418786.1.2.1.1] equal(multiply(multiply(inverse(multiply(X,inverse(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(inverse(Y)),multiply(multiply(inverse(inverse(Y)),multiply(multiply(inverse(Z),multiply(multiply(inverse(multiply(U,inverse(multiply(Z,Y)))),multiply(U,inverse(Y))),inverse(Y))),inverse(Y))),inverse(Y)))).
% 418829 [para:418788.1.1,418786.1.2.1.1.2.1] equal(multiply(multiply(inverse(multiply(X,inverse(multiply(inverse(inverse(Y)),multiply(multiply(inverse(Z),multiply(multiply(inverse(multiply(U,inverse(multiply(Z,Y)))),multiply(U,inverse(Y))),inverse(Y))),inverse(Y)))))),multiply(X,inverse(inverse(multiply(inverse(inverse(multiply(inverse(Y),Y))),inverse(multiply(inverse(Y),Y))))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(Y),Y))),inverse(multiply(inverse(Y),Y))))),inverse(multiply(inverse(inverse(multiply(inverse(Y),Y))),inverse(multiply(inverse(Y),Y))))))),multiply(inverse(multiply(V,inverse(inverse(Y)))),multiply(V,inverse(inverse(multiply(inverse(Y),Y)))))).
% 418831 [para:418786.1.1,418786.1.1] equal(multiply(inverse(multiply(X,inverse(multiply(Y,Z)))),multiply(X,inverse(Z))),multiply(inverse(multiply(U,inverse(multiply(Y,Z)))),multiply(U,inverse(Z)))).
% 418835 [para:418786.1.1,418786.1.2.1.1.2.1] equal(multiply(multiply(inverse(multiply(X,inverse(multiply(inverse(multiply(Y,inverse(Z))),multiply(Y,inverse(inverse(multiply(inverse(U),U)))))))),multiply(X,inverse(inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(U),U))),inverse(multiply(inverse(U),U))))),inverse(multiply(inverse(inverse(multiply(inverse(U),U))),inverse(multiply(inverse(U),U))))))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(U),U))),inverse(multiply(inverse(U),U))))),inverse(multiply(inverse(inverse(multiply(inverse(U),U))),inverse(multiply(inverse(U),U))))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(U),U))),inverse(multiply(inverse(U),U))))),inverse(multiply(inverse(inverse(multiply(inverse(U),U))),inverse(multiply(inverse(U),U))))))))),multiply(inverse(multiply(V,inverse(multiply(inverse(multiply(W,inverse(multiply(Z,U)))),multiply(W,inverse(U)))))),multiply(V,inverse(inverse(multiply(inverse(inverse(multiply(inverse(U),U))),inverse(multiply(inverse(U),U)))))))).
% 418836 [para:418786.1.2,418786.1.2.1.1.2.1] equal(multiply(multiply(inverse(multiply(X,inverse(inverse(multiply(Y,inverse(multiply(Z,U))))))),multiply(X,inverse(inverse(multiply(inverse(multiply(Y,inverse(U))),multiply(Y,inverse(U))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(Y,inverse(U))),multiply(Y,inverse(U))))),inverse(multiply(inverse(multiply(Y,inverse(U))),multiply(Y,inverse(U))))))),multiply(inverse(multiply(V,inverse(multiply(multiply(inverse(multiply(W,inverse(Z))),multiply(W,inverse(inverse(multiply(inverse(U),U))))),inverse(multiply(inverse(inverse(multiply(inverse(U),U))),inverse(multiply(inverse(U),U)))))))),multiply(V,inverse(multiply(Y,inverse(U)))))).
% 418837 [para:418786.1.1,418786.1.2.2] equal(multiply(multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(Z),Z))),inverse(multiply(inverse(Z),Z)))),multiply(inverse(inverse(multiply(inverse(Z),Z))),inverse(multiply(inverse(Z),Z)))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(Z),Z))),inverse(multiply(inverse(Z),Z)))),multiply(inverse(inverse(multiply(inverse(Z),Z))),inverse(multiply(inverse(Z),Z)))))),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(Z),Z))),inverse(multiply(inverse(Z),Z)))),multiply(inverse(inverse(multiply(inverse(Z),Z))),inverse(multiply(inverse(Z),Z)))))))),multiply(inverse(multiply(multiply(inverse(multiply(U,inverse(V))),multiply(U,inverse(inverse(multiply(inverse(Z),Z))))),inverse(multiply(Y,multiply(inverse(inverse(multiply(inverse(Z),Z))),inverse(multiply(inverse(Z),Z))))))),multiply(inverse(multiply(W,inverse(multiply(V,Z)))),multiply(W,inverse(Z))))).
% 418838 [?] ?
% 418871 [para:418808.1.1,418831.1.1.1.1.2.1,demod:418808] 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)))))).
% 418877 [para:418783.1.1,418871.1.1.2.2.1,demod:418783] equal(multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(Z))),multiply(inverse(multiply(U,inverse(Y))),multiply(U,inverse(Z)))).
% 418905 [para:418877.1.1,418783.1.1.1.1.1.2.1,demod:418838] equal(inverse(multiply(X,inverse(multiply(multiply(multiply(inverse(multiply(Y,inverse(Z))),multiply(Y,inverse(U))),inverse(multiply(inverse(U),U))),U)))),inverse(multiply(X,inverse(Z)))).
% 418906 [para:418877.1.1,418783.1.1.2.1] equal(multiply(multiply(inverse(multiply(X,inverse(multiply(Y,multiply(Z,inverse(U)))))),multiply(X,inverse(multiply(Z,inverse(U))))),inverse(multiply(inverse(multiply(V,inverse(U))),multiply(V,inverse(U))))),Y).
% 419043 [para:418808.1.1,418906.1.1.1] equal(multiply(X,inverse(multiply(inverse(multiply(Y,inverse(Z))),multiply(Y,inverse(Z))))),multiply(X,inverse(multiply(inverse(multiply(U,inverse(Z))),multiply(U,inverse(Z)))))).
% 419066 [para:418783.1.1,419043.1.1.2.1.1.1,demod:418783] equal(multiply(X,inverse(multiply(inverse(Y),Y))),multiply(X,inverse(multiply(inverse(multiply(Z,inverse(multiply(inverse(U),U)))),multiply(Z,inverse(multiply(inverse(U),U))))))).
% 419199 [para:419066.1.1,418783.1.1.1.1.1] equal(multiply(multiply(inverse(multiply(X,inverse(multiply(inverse(multiply(Y,inverse(multiply(inverse(Z),Z)))),multiply(Y,inverse(multiply(inverse(Z),Z))))))),multiply(X,inverse(U))),inverse(multiply(inverse(U),U))),inverse(U)).
% 419207 [para:418783.1.1,419066.1.2.2.1.1.1,demod:418783] equal(multiply(X,inverse(multiply(inverse(Y),Y))),multiply(X,inverse(multiply(inverse(Z),Z)))).
% 419289 [para:419066.1.1,418905.1.1.1.2.1.1.1.1.1,demod:419199] equal(inverse(multiply(X,inverse(multiply(inverse(Y),Y)))),inverse(multiply(X,inverse(multiply(inverse(Z),Z))))).
% 419361 [para:419207.1.1,418783.1.1] equal(multiply(multiply(inverse(multiply(X,inverse(multiply(Y,Z)))),multiply(X,inverse(Z))),inverse(multiply(inverse(U),U))),Y).
% 419410 [para:419207.1.1,418787.1.1] equal(multiply(multiply(inverse(multiply(multiply(inverse(multiply(X,inverse(multiply(Y,Z)))),multiply(X,inverse(Z))),inverse(multiply(U,multiply(inverse(Z),Z))))),Y),inverse(multiply(inverse(V),V))),U).
% 419515 [para:418785.1.1,419361.1.1.1.2] equal(multiply(multiply(inverse(multiply(multiply(inverse(X),multiply(multiply(inverse(multiply(Y,inverse(multiply(X,Z)))),multiply(Y,inverse(Z))),inverse(Z))),inverse(multiply(U,multiply(inverse(Z),Z))))),inverse(Z)),inverse(multiply(inverse(V),V))),U).
% 419557 [para:418787.1.1,419361.1.1.1.1.1,demod:419410] equal(multiply(multiply(inverse(X),X),inverse(multiply(inverse(Y),Y))),inverse(multiply(inverse(Z),Z))).
% 419582 [para:419207.1.1,419361.1.1.1.1.1] equal(multiply(multiply(inverse(multiply(X,inverse(multiply(inverse(Y),Y)))),multiply(X,inverse(Z))),inverse(multiply(inverse(U),U))),inverse(Z)).
% 419584 [para:419207.1.1,419361.1.1.1.2] equal(multiply(multiply(inverse(multiply(X,inverse(multiply(Y,multiply(inverse(Z),Z))))),multiply(X,inverse(multiply(inverse(U),U)))),inverse(multiply(inverse(V),V))),Y).
% 419675 [para:419557.1.1,418905.1.1.1.2.1.1] equal(inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(Y),Y)),Z)))),inverse(multiply(X,inverse(Z)))).
% 419757 [para:419557.1.1,419207.1.1] equal(inverse(multiply(inverse(X),X)),multiply(multiply(inverse(Y),Y),inverse(multiply(inverse(Z),Z)))).
% 419771 [para:419289.1.1,419557.1.1.1.1,demod:419582] equal(inverse(multiply(inverse(X),X)),inverse(multiply(inverse(Y),Y))).
% 419848 [para:419771.1.1,419771.1.1.1.1] equal(inverse(multiply(inverse(multiply(inverse(X),X)),multiply(inverse(Y),Y))),inverse(multiply(inverse(Z),Z))).
% 419850 [para:419757.1.2,418786.1.1,demod:419675] equal(inverse(multiply(inverse(X),X)),multiply(inverse(multiply(Y,inverse(Z))),multiply(Y,inverse(Z)))).
% 419855 [para:419757.1.2,418808.1.1.1.1.2.1.1,demod:419675] equal(multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(Y))),multiply(inverse(Z),Z)).
% 419877 [para:418783.1.1,419855.1.1.1.1,demod:419361] equal(multiply(inverse(X),X),multiply(inverse(Y),Y)).
% 419956 [para:419771.1.1,419877.1.1.1] equal(multiply(inverse(multiply(inverse(X),X)),multiply(inverse(Y),Y)),multiply(inverse(Z),Z)).
% 420091 [para:418783.1.1,419850.1.2.1.1,demod:419361] equal(inverse(multiply(inverse(X),X)),multiply(inverse(Y),Y)).
% 420237 [para:419850.1.2,419289.1.1.1.2.1] equal(inverse(multiply(X,inverse(inverse(multiply(inverse(Y),Y))))),inverse(multiply(X,inverse(multiply(inverse(Z),Z))))).
% 420349 [?] ?
% 420367 [para:420091.1.2,418871.1.1,demod:420349] equal(inverse(multiply(inverse(X),X)),inverse(inverse(inverse(inverse(multiply(inverse(Y),Y)))))).
% 420394 [para:418877.1.1,420091.1.1.1,demod:420349] equal(inverse(inverse(inverse(multiply(inverse(X),X)))),multiply(inverse(Y),Y)).
% 420471 [para:420091.1.1,419066.1.2.2] equal(multiply(X,inverse(multiply(inverse(Y),Y))),multiply(X,multiply(inverse(Z),Z))).
% 420498 [para:420091.1.1,419361.1.1.1.1.1.2] equal(multiply(multiply(inverse(multiply(X,multiply(inverse(Y),Y))),multiply(X,inverse(Z))),inverse(multiply(inverse(U),U))),inverse(Z)).
% 420505 [para:420091.1.1,419557.1.2] equal(multiply(multiply(inverse(X),X),inverse(multiply(inverse(Y),Y))),multiply(inverse(Z),Z)).
% 420524 [para:420091.1.1,419850.1.1,demod:420349] equal(multiply(inverse(X),X),inverse(inverse(multiply(inverse(Y),Y)))).
% 420623 [para:418877.1.1,420524.1.2.1.1,demod:420349] equal(multiply(inverse(X),X),inverse(inverse(inverse(inverse(multiply(inverse(Y),Y)))))).
% 420707 [para:420524.1.1,419361.1.1.1.1.1.2.1] equal(multiply(multiply(inverse(multiply(X,inverse(inverse(inverse(multiply(inverse(Y),Y)))))),multiply(X,inverse(Z))),inverse(multiply(inverse(U),U))),inverse(Z)).
% 420988 [para:420394.1.2,418871.1.1,demod:420349] equal(inverse(inverse(inverse(multiply(inverse(X),X)))),inverse(inverse(inverse(inverse(multiply(inverse(Y),Y)))))).
% 421289 [para:420623.1.1,418871.1.1,demod:420349] equal(inverse(inverse(inverse(inverse(multiply(inverse(X),X))))),inverse(inverse(inverse(inverse(multiply(inverse(Y),Y)))))).
% 421679 [para:418795.1.1,418786.1.2.1.1.2.1,demod:419582,419675,419515] equal(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X),X)),multiply(inverse(X),X)))),inverse(multiply(inverse(X),X))))),multiply(inverse(multiply(Y,inverse(inverse(multiply(inverse(X),X))))),multiply(Y,inverse(inverse(multiply(inverse(multiply(inverse(X),X)),multiply(inverse(X),X))))))).
% 421689 [para:418795.1.1,418831.1.1.1.1,demod:420349,419675,419515] equal(multiply(inverse(inverse(multiply(inverse(X),X))),multiply(multiply(inverse(Y),Y),inverse(multiply(inverse(X),X)))),inverse(inverse(multiply(inverse(multiply(inverse(X),X)),multiply(inverse(X),X))))).
% 421985 [para:420367.1.1,419361.1.1.1.2.2] equal(multiply(multiply(inverse(multiply(X,inverse(multiply(Y,multiply(inverse(Z),Z))))),multiply(X,inverse(inverse(inverse(inverse(multiply(inverse(U),U))))))),inverse(multiply(inverse(V),V))),Y).
% 422457 [para:420091.1.1,420471.1.1.2] equal(multiply(X,multiply(inverse(Y),Y)),multiply(X,multiply(inverse(Z),Z))).
% 422489 [para:422457.1.1,418788.1.1.2.1,demod:421689,419584] equal(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X),X)),multiply(inverse(X),X)))),inverse(multiply(inverse(multiply(inverse(X),X)),multiply(inverse(Y),Y)))),inverse(multiply(inverse(X),X))).
% 423449 [para:420505.1.1,418905.1.1.1.2.1.1] equal(inverse(multiply(X,inverse(multiply(multiply(inverse(Y),Y),Z)))),inverse(multiply(X,inverse(Z)))).
% 428685 [para:418804.1.1,418789.1.2.2.1.1.1.2.1,demod:421679,421689,419515,420707,422489] equal(inverse(inverse(inverse(multiply(inverse(X),X)))),multiply(inverse(inverse(inverse(multiply(inverse(multiply(inverse(X),X)),multiply(inverse(X),X))))),multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X),X)),multiply(inverse(X),X)))),inverse(multiply(inverse(X),X))))),inverse(inverse(multiply(inverse(multiply(inverse(X),X)),multiply(inverse(X),X))))))).
% 433587 [para:420988.1.1,419361.1.1.1.2.2] equal(multiply(multiply(inverse(multiply(X,inverse(multiply(Y,inverse(inverse(multiply(inverse(Z),Z))))))),multiply(X,inverse(inverse(inverse(inverse(multiply(inverse(U),U))))))),inverse(multiply(inverse(V),V))),Y).
% 435325 [para:418871.1.1,423449.1.1.1.2.1.1,demod:420349] equal(inverse(multiply(X,inverse(multiply(inverse(inverse(inverse(inverse(multiply(inverse(Y),Y))))),Z)))),inverse(multiply(X,inverse(Z)))).
% 435326 [para:418877.1.1,423449.1.1.1.2.1.1,demod:420349] equal(inverse(multiply(X,inverse(multiply(inverse(inverse(multiply(inverse(Y),Y))),Z)))),inverse(multiply(X,inverse(Z)))).
% 435404 [para:423449.1.1,420091.1.1] equal(inverse(multiply(inverse(inverse(multiply(multiply(inverse(X),X),Y))),inverse(Y))),multiply(inverse(Z),Z)).
% 435814 [para:418786.1.2,419675.1.1.1.2.1,demod:435326] equal(inverse(multiply(X,inverse(multiply(multiply(inverse(multiply(Y,inverse(Z))),multiply(Y,inverse(inverse(multiply(inverse(U),U))))),inverse(inverse(multiply(inverse(U),U))))))),inverse(multiply(X,inverse(multiply(inverse(inverse(multiply(Z,U))),inverse(U)))))).
% 435818 [para:418831.1.1,419675.1.1.1.2.1] equal(inverse(multiply(X,inverse(multiply(inverse(multiply(Y,inverse(multiply(Z,U)))),multiply(Y,inverse(U)))))),inverse(multiply(X,inverse(multiply(inverse(inverse(multiply(Z,U))),inverse(U)))))).
% 435820 [para:418877.1.1,419675.1.1.1.2.1] equal(inverse(multiply(X,inverse(multiply(inverse(multiply(Y,inverse(Z))),multiply(Y,inverse(U)))))),inverse(multiply(X,inverse(multiply(inverse(inverse(Z)),inverse(U)))))).
% 436631 [para:419848.1.1,418801.1.1.2.1.1.1,demod:419675,428685,421679,421689,419584] equal(multiply(inverse(inverse(inverse(multiply(inverse(X),X)))),inverse(multiply(inverse(inverse(multiply(inverse(Y),Y))),inverse(multiply(inverse(X),X))))),inverse(inverse(multiply(inverse(multiply(inverse(X),X)),multiply(inverse(X),X))))).
% 468486 [para:421289.1.1,418783.1.1.1.2.2] equal(multiply(multiply(inverse(multiply(X,inverse(multiply(Y,inverse(inverse(inverse(multiply(inverse(Z),Z)))))))),multiply(X,inverse(inverse(inverse(inverse(multiply(inverse(U),U))))))),inverse(multiply(inverse(inverse(inverse(inverse(multiply(inverse(Z),Z))))),inverse(inverse(inverse(multiply(inverse(Z),Z))))))),Y).
% 488693 [para:435404.1.1,418783.1.1.1.1.1.2,demod:420498] equal(inverse(inverse(X)),inverse(inverse(multiply(multiply(inverse(Y),Y),X)))).
% 489046 [para:418877.1.1,488693.1.2.1.1.1,demod:420349] equal(inverse(inverse(X)),inverse(inverse(multiply(inverse(inverse(multiply(inverse(Y),Y))),X)))).
% 489069 [para:419850.1.2,488693.1.2.1.1.1] equal(inverse(inverse(X)),inverse(inverse(multiply(inverse(multiply(inverse(Y),Y)),X)))).
% 489359 [para:418831.1.1,489069.1.2.1.1] equal(inverse(inverse(multiply(inverse(inverse(multiply(X,Y))),inverse(Y)))),inverse(inverse(multiply(inverse(multiply(Z,inverse(multiply(X,Y)))),multiply(Z,inverse(Y)))))).
% 489362 [para:418877.1.1,489069.1.2.1.1] equal(inverse(inverse(multiply(inverse(inverse(X)),inverse(Y)))),inverse(inverse(multiply(inverse(multiply(Z,inverse(X))),multiply(Z,inverse(Y)))))).
% 501342 [para:419207.1.1,418828.1.2.2,demod:421689,419584,436631,419675,489046,420349,489069] equal(inverse(inverse(multiply(inverse(X),X))),multiply(inverse(inverse(multiply(inverse(X),X))),multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(Y),Y))))).
% 501447 [para:419956.1.1,418828.1.1.2.1.2.1,demod:501342,421689,419584,489046,420349,489069] equal(multiply(inverse(inverse(inverse(multiply(inverse(X),X)))),inverse(multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(Y),Y))))),inverse(inverse(multiply(inverse(X),X)))).
% 507186 [para:418829.1.1,418905.1.1.1.2.1.1,demod:435814,435326] equal(inverse(multiply(X,inverse(inverse(Y)))),inverse(multiply(X,inverse(multiply(inverse(inverse(Y)),multiply(multiply(inverse(Z),multiply(multiply(inverse(multiply(U,inverse(multiply(Z,Y)))),multiply(U,inverse(Y))),inverse(Y))),inverse(Y))))))).
% 507322 [para:418829.1.1,419361.1.1.1.1.1.2.1,demod:507186,433587,501447,489046,435820] equal(inverse(inverse(inverse(X))),multiply(inverse(multiply(Y,inverse(inverse(X)))),multiply(Y,inverse(inverse(inverse(multiply(inverse(X),X))))))).
% 508078 [para:418829.1.2,419675.1.1.1.2.1,demod:501447,507322,489046,507186] equal(inverse(multiply(X,inverse(multiply(inverse(inverse(inverse(Y))),inverse(inverse(inverse(multiply(inverse(Y),Y)))))))),inverse(multiply(X,inverse(multiply(inverse(inverse(inverse(Y))),inverse(inverse(multiply(inverse(Y),Y)))))))).
% 532554 [para:418835.1.2,418786.1.1.1,demod:419361,433587,501447,489046,435820] equal(multiply(inverse(inverse(X)),inverse(inverse(inverse(multiply(inverse(Y),Y))))),multiply(inverse(multiply(Z,inverse(X))),multiply(Z,inverse(inverse(multiply(inverse(Y),Y)))))).
% 532568 [para:418808.1.1,418835.1.2.1.1.2.1,demod:468486,501447,489046,532554] equal(inverse(inverse(multiply(X,inverse(multiply(inverse(Y),Y))))),multiply(inverse(multiply(Z,inverse(X))),multiply(Z,inverse(inverse(inverse(multiply(inverse(Y),Y))))))).
% 532776 [para:419066.1.1,418835.1.2.1.1.2.1.1.1,demod:532568,435325,435820,489069,420349,433587,501447,489046,508078,532554] equal(inverse(inverse(inverse(X))),inverse(inverse(multiply(inverse(X),inverse(multiply(inverse(X),X)))))).
% 532819 [para:419207.1.1,418835.1.2.2.2.1.1,demod:532568,435818,468486,501447,489046,532554] equal(inverse(inverse(X)),inverse(inverse(multiply(multiply(inverse(inverse(multiply(X,Y))),inverse(Y)),inverse(multiply(inverse(Z),Z)))))).
% 532908 [para:419771.1.1,418835.1.2.2.2.1,demod:435818,468486,501447,489046,532554] equal(inverse(inverse(X)),multiply(inverse(inverse(multiply(inverse(inverse(multiply(X,Y))),inverse(Y)))),inverse(inverse(inverse(multiply(inverse(Z),Z)))))).
% 532918 [para:419877.1.1,418835.1.1.1.1.1.2.1.2,demod:532819,532568,435818,421985,501447,489046] equal(inverse(multiply(inverse(inverse(inverse(multiply(inverse(X),X)))),inverse(Y))),inverse(inverse(Y))).
% 532923 [para:419877.1.1,418835.1.2.1.1,demod:532908,489359,468486,501447,489046,532554] equal(inverse(inverse(X)),multiply(inverse(multiply(inverse(Y),Y)),inverse(inverse(X)))).
% 532949 [para:419850.1.1,418835.1.2.1,demod:532908,489359,420349,468486,501447,489046,532554] equal(inverse(inverse(X)),multiply(inverse(inverse(multiply(inverse(Y),Y))),inverse(inverse(X)))).
% 532961 [para:420091.1.1,418835.1.2.1,demod:532908,489359,468486,501447,489046,532554] equal(inverse(inverse(X)),multiply(multiply(inverse(Y),Y),inverse(inverse(X)))).
% 532991 [para:420524.1.1,418835.1.2.1.1,demod:532908,489359,468486,501447,489046,532554] equal(inverse(inverse(X)),multiply(inverse(inverse(inverse(multiply(inverse(Y),Y)))),inverse(inverse(X)))).
% 533083 [para:420394.1.2,418835.1.2.1.1,demod:532908,489359,468486,501447,489046,532554] equal(inverse(inverse(X)),multiply(inverse(inverse(inverse(inverse(multiply(inverse(Y),Y))))),inverse(inverse(X)))).
% 537777 [para:420091.1.1,532776.1.2.1.1.2] equal(inverse(inverse(inverse(X))),inverse(inverse(multiply(inverse(X),multiply(inverse(Y),Y))))).
% 538452 [para:418877.1.1,537777.1.2.1.1,demod:489362] equal(inverse(inverse(inverse(multiply(inverse(inverse(X)),inverse(Y))))),inverse(inverse(multiply(inverse(inverse(Y)),inverse(X))))).
% 545869 [para:532918.1.1,418785.1.1.1.2.1.1.1.2,demod:533083,532949,420349] equal(multiply(inverse(inverse(X)),inverse(multiply(inverse(inverse(X)),inverse(X)))),inverse(inverse(X))).
% 545980 [para:420394.1.1,532918.1.1.1.1] equal(inverse(multiply(multiply(inverse(X),X),inverse(Y))),inverse(inverse(Y))).
% 549294 [para:532991.1.2,418831.1.1.2,demod:532918] equal(multiply(inverse(inverse(multiply(X,inverse(Y)))),inverse(inverse(Y))),multiply(inverse(multiply(Z,inverse(multiply(X,inverse(Y))))),multiply(Z,inverse(inverse(Y))))).
% 560378 [para:545869.1.1,418831.1.1.1.1,demod:532949,549294] equal(multiply(inverse(inverse(inverse(X))),multiply(inverse(inverse(X)),inverse(inverse(X)))),inverse(inverse(X))).
% 560399 [para:545869.1.1,419066.1.1,demod:489069,420349] equal(inverse(inverse(X)),multiply(inverse(inverse(X)),inverse(inverse(inverse(multiply(inverse(Y),Y)))))).
% 560400 [para:545869.1.1,419207.1.1] equal(inverse(inverse(X)),multiply(inverse(inverse(X)),inverse(multiply(inverse(Y),Y)))).
% 560409 [para:419850.1.1,545869.1.1.2,demod:420349] equal(multiply(inverse(inverse(X)),inverse(inverse(multiply(inverse(Y),Y)))),inverse(inverse(X))).
% 560503 [para:545869.1.1,418828.1.2.2.1.2.1.2.1.1.1,demod:560378,560400,560409,538452,532554] equal(inverse(inverse(inverse(inverse(X)))),inverse(inverse(X))).
% 560532 [para:545869.1.1,418837.1.2.1.1.1.1.1,demod:420349,423449,545980,560409,532949,560399,532554,560503,532991,560400] equal(inverse(inverse(X)),inverse(inverse(multiply(X,inverse(inverse(multiply(inverse(Y),Y))))))).
% 560987 [para:420237.1.1,560503.1.1.1.1.1,demod:560532,560503] equal(inverse(inverse(multiply(X,inverse(multiply(inverse(Y),Y))))),inverse(inverse(X))).
% 561850 [para:560400.1.2,418783.1.1.2.1,demod:560399,560409,560987,549294] equal(inverse(inverse(X)),X).
% 561867 [para:560400.1.2,418808.1.1.1.1.2.1.1,demod:561850] equal(multiply(inverse(multiply(X,inverse(multiply(Y,Z)))),multiply(X,inverse(Z))),Y).
% 561870 [?] ?
% 561879 [para:418871.1.1,560400.1.2.2.1,demod:420349,561850] equal(X,multiply(X,inverse(multiply(inverse(Y),Y)))).
% 561891 [para:560400.1.2,418789.1.1.2.1,demod:561870,561867,561879,561850] equal(multiply(inverse(multiply(X,Y)),multiply(X,multiply(inverse(Y),Y))),inverse(Y)).
% 561894 [para:560400.1.2,418789.1.2.2.1.1.1,demod:561870,561879,561891,561850] equal(inverse(X),multiply(X,multiply(inverse(X),inverse(X)))).
% 561897 [para:419557.1.2,560400.1.2.2,demod:561879,561850] equal(X,multiply(X,multiply(inverse(Y),Y))).
% 561911 [para:423449.1.1,560400.1.2.2,demod:488693,561850] equal(X,multiply(X,inverse(multiply(Y,inverse(Y))))).
% 561989 [para:435404.1.2,560400.1.2.2.1,demod:488693,561850] equal(X,multiply(X,multiply(Y,inverse(Y)))).
% 562018 [para:560400.1.2,418828.1.1.2.1,demod:561894,561870,561867,561879,561897,561850] equal(multiply(inverse(multiply(X,Y)),X),inverse(Y)).
% 562019 [para:560400.1.2,532961.1.2.1,demod:561850] equal(X,multiply(multiply(inverse(Y),Y),X)).
% 562020 [para:560400.1.2,532923.1.2.1.1,demod:561850] equal(X,multiply(inverse(multiply(inverse(Y),Y)),X)).
% 562022 [para:560400.1.2,418836.1.1.1.1.1.2.1.1.2.1,demod:562020,561879,562019,562018,561897,561850] equal(inverse(multiply(X,inverse(Y))),multiply(inverse(multiply(Z,inverse(Y))),multiply(Z,inverse(X)))).
% 562023 [para:560400.1.2,418836.1.1.2.1,demod:562019,561897,561989,562018,561911,562022,561850] equal(inverse(multiply(X,inverse(multiply(Y,Z)))),inverse(multiply(multiply(X,inverse(Z)),inverse(Y)))).
% 562024 [para:560400.1.2,418836.1.2.2,demod:562019,561897,562018,561911,562022,561850] equal(inverse(multiply(X,inverse(multiply(Y,X)))),Y).
% 562025 [para:561850.1.1,418783.1.1.1.2.2,demod:561911,561850] equal(multiply(inverse(multiply(X,inverse(multiply(Y,inverse(Z))))),multiply(X,Z)),Y).
% 562026 [?] ?
% 562027 [para:561850.1.1,418785.1.1.1.2.1.2.2,demod:561911,561850,562025] equal(multiply(inverse(X),multiply(X,Y)),Y).
% 562064 [para:561850.1.1,488693.1.2.1.1.1.1,demod:561850] equal(X,multiply(multiply(Y,inverse(Y)),X)).
% 562078 [para:562019.1.2,418783.1.1.1.1.1,demod:561879,562019,561850] equal(multiply(multiply(X,Y),inverse(Y)),X).
% 562079 [para:562019.1.2,418871.1.1.1.1,demod:562023,562022,562019,561850] equal(multiply(X,inverse(multiply(Y,inverse(Z)))),inverse(multiply(Y,inverse(multiply(X,Z))))).
% 562083 [para:562019.1.2,418877.1.1.1.1,demod:562022,562019,561850] equal(multiply(X,inverse(Y)),inverse(multiply(Y,inverse(X)))).
% 562084 [para:562019.1.2,418877.1.1.2,demod:562083,561850,562019] equal(multiply(X,inverse(Y)),multiply(multiply(X,inverse(Z)),multiply(Z,inverse(Y)))).
% 562085 [para:562019.1.2,418905.1.1.1,demod:562019,561850,561879,562084,562083] equal(multiply(multiply(X,inverse(Y)),Y),X).
% 562087 [para:562019.1.2,418906.1.1.1.1.1,demod:561989,562084,562019,562083,561850] equal(multiply(multiply(X,multiply(Y,inverse(Z))),multiply(Z,inverse(Y))),X).
% 562101 [para:562027.1.1,418783.1.1.1.1.1.2.1,demod:561879,562084,562083] equal(multiply(X,inverse(multiply(Y,X))),inverse(Y)).
% 562110 [para:562078.1.1,418783.1.1.1.1.1.2.1,demod:561989,561850,562083] equal(multiply(multiply(X,inverse(Y)),multiply(Y,Z)),multiply(X,Z)).
% 562111 [para:562078.1.1,418786.1.2.1.1.2.1,demod:562110,562064,561989,561850,562083,562079] equal(multiply(multiply(X,multiply(Y,inverse(Z))),Z),multiply(X,Y)).
% 562116 [para:562078.1.1,418877.1.1.2,demod:562110,562083] equal(multiply(multiply(X,inverse(multiply(Y,Z))),Y),multiply(X,inverse(Z))).
% 562121 [para:418829.1.2,562078.1.1.1,demod:561897,562020,562018,561879,562019,562026,561870,562087,562083,562079,561850] equal(multiply(inverse(X),inverse(Y)),inverse(multiply(Y,X))).
% 562458 [para:562018.1.1,562085.1.1.1] equal(multiply(inverse(X),Y),inverse(multiply(inverse(Y),X))).
% 562493 [para:562024.1.1,418836.1.1.1.2.2.1.1.1.1.2,demod:562110,562064,562085,561989,562019,562018,561897,562458,561850,562083,562101] equal(inverse(multiply(X,multiply(Y,inverse(Z)))),multiply(Z,inverse(multiply(X,Y)))).
% 562494 [para:562024.1.1,418836.1.2.1,demod:562019,562085,561897,562458,562064,562116,561989,562110,562493,562083,562079] equal(multiply(multiply(X,Y),inverse(Z)),multiply(X,multiply(Y,inverse(Z)))).
% 562822 [para:562121.1.1,418836.1.1.1.1.1.2.1.1,demod:562110,562019,562085,561897,562458,562064,562111,561989,562101,562494,562121,562083,562079,561850,slowcut:418784] 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
%
%
% old unit clauses discarded
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 1403
% derived clauses: 3707454
% kept clauses: 167005
% kept size sum: 0
% kept mid-nuclei: 0
% kept new demods: 16293
% forw unit-subs: 2397657
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 213
% fast unit cutoff: 0
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 121.19
% process. runtime: 119.57
% 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/GRP411-1+eq_r.in")
%
%------------------------------------------------------------------------------