TSTP Solution File: GRP104-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP104-1 : TPTP v3.4.2. Bugfixed v2.7.0.
% Transfm : add_equality:r
% Format : otter:hypothesis:set(auto),clear(print_given)
% Command : gandalf-wrapper -time %d %s
% Computer : art08.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/GRP104-1+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 7 7)
% (binary-unit 12 #f)
% (binary-unit-uniteq 12 #f)
% (binary-posweight-kb-big-order 60 #f 7 7)
% (binary-posweight-lex-big-order 30 #f 7 7)
% (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))) | -equal(multiply(a4,b4),multiply(b4,a4)).
% 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))).
% -equal(multiply(a4,b4),multiply(b4,a4)).
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(4,40,0,8,0,0,1948,4,751)
%
%
% START OF PROOF
% 6 [] equal(double_divide(X,inverse(double_divide(inverse(double_divide(double_divide(X,Y),inverse(Z))),Y))),Z).
% 7 [] equal(multiply(X,Y),inverse(double_divide(Y,X))).
% 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)) | -equal(multiply(a4,b4),multiply(b4,a4)).
% 9 [para:6.1.1,7.1.2.1,demod:7] equal(multiply(multiply(X,multiply(inverse(Y),double_divide(Z,X))),Z),inverse(Y)).
% 10 [para:7.1.2,6.1.1.2,demod:7] equal(double_divide(X,multiply(Y,multiply(inverse(Z),double_divide(X,Y)))),Z).
% 11 [para:7.1.2,6.1.1.2.1.1.1.2,demod:7] equal(double_divide(X,multiply(Y,multiply(multiply(Z,U),double_divide(X,Y)))),double_divide(U,Z)).
% 12 [para:6.1.1,6.1.1.2.1.1.1,demod:7] equal(double_divide(X,multiply(Y,inverse(Z))),double_divide(multiply(inverse(Z),double_divide(double_divide(X,Y),U)),U)).
% 13 [para:6.1.1,6.1.1.2.1.1.1.1,demod:7] equal(double_divide(X,multiply(multiply(Y,multiply(inverse(Z),double_divide(X,Y))),multiply(inverse(U),Z))),U).
% 14 [para:7.1.2,9.1.1.1.2.1,demod:7] equal(multiply(multiply(X,multiply(multiply(Y,Z),double_divide(U,X))),U),multiply(Y,Z)).
% 15 [para:6.1.1,9.1.1.1.2.2,demod:7] equal(multiply(multiply(multiply(X,multiply(inverse(Y),double_divide(Z,X))),multiply(inverse(U),Y)),Z),inverse(U)).
% 17 [para:11.1.1,6.1.1.2.1.1.1.1,demod:7] equal(double_divide(X,multiply(multiply(Y,multiply(multiply(Z,U),double_divide(X,Y))),multiply(inverse(V),double_divide(U,Z)))),V).
% 18 [para:6.1.1,11.1.1.2.2.2,demod:7] equal(double_divide(X,multiply(multiply(Y,multiply(inverse(Z),double_divide(X,Y))),multiply(multiply(U,V),Z))),double_divide(V,U)).
% 19 [para:11.1.1,9.1.1.1.2.2] equal(multiply(multiply(multiply(X,multiply(multiply(Y,Z),double_divide(U,X))),multiply(inverse(V),double_divide(Z,Y))),U),inverse(V)).
% 20 [para:11.1.1,11.1.1.2.2.2] equal(double_divide(X,multiply(multiply(Y,multiply(multiply(Z,U),double_divide(X,Y))),multiply(multiply(V,W),double_divide(U,Z)))),double_divide(W,V)).
% 21 [para:6.1.1,14.1.1.1.2.2,demod:7] equal(multiply(multiply(multiply(X,multiply(inverse(Y),double_divide(Z,X))),multiply(multiply(U,V),Y)),Z),multiply(U,V)).
% 22 [para:9.1.1,14.1.1.1.2] equal(multiply(multiply(X,inverse(Y)),Z),multiply(U,multiply(inverse(Y),double_divide(double_divide(Z,X),U)))).
% 24 [para:11.1.1,14.1.1.1.2.2] equal(multiply(multiply(multiply(X,multiply(multiply(Y,Z),double_divide(U,X))),multiply(multiply(V,W),double_divide(Z,Y))),U),multiply(V,W)).
% 25 [?] ?
% 26 [para:12.1.2,6.1.1.2.1.1.1.1,demod:7] equal(double_divide(multiply(inverse(X),double_divide(double_divide(Y,Z),U)),multiply(U,multiply(inverse(V),double_divide(Y,multiply(Z,inverse(X)))))),V).
% 27 [para:6.1.1,12.1.2.1.2,demod:12,7] equal(double_divide(X,multiply(Y,inverse(Z))),double_divide(multiply(inverse(Z),U),multiply(multiply(Y,inverse(U)),X))).
% 28 [para:6.1.1,12.1.2.1.2.1,demod:7] equal(double_divide(X,multiply(multiply(Y,multiply(inverse(Z),double_divide(X,Y))),inverse(U))),double_divide(multiply(inverse(U),double_divide(Z,V)),V)).
% 31 [para:11.1.1,12.1.2.1.2,demod:25] equal(double_divide(X,multiply(Y,inverse(Z))),double_divide(multiply(inverse(Z),double_divide(U,V)),multiply(multiply(Y,multiply(V,U)),X))).
% 33 [para:12.1.2,14.1.1.1.2.2] equal(multiply(multiply(X,multiply(multiply(Y,Z),double_divide(U,multiply(V,inverse(W))))),multiply(inverse(W),double_divide(double_divide(U,V),X))),multiply(Y,Z)).
% 34 [para:12.1.2,12.1.2.1.2.1,demod:12] equal(double_divide(multiply(inverse(X),double_divide(double_divide(Y,Z),U)),multiply(U,inverse(V))),double_divide(Y,multiply(multiply(Z,inverse(X)),inverse(V)))).
% 37 [para:9.1.1,13.1.1.2] equal(double_divide(multiply(inverse(X),Y),inverse(Y)),X).
% 43 [para:37.1.1,7.1.2.1] equal(multiply(inverse(X),multiply(inverse(Y),X)),inverse(Y)).
% 44 [para:7.1.2,37.1.1.1.1] equal(double_divide(multiply(multiply(X,Y),Z),inverse(Z)),double_divide(Y,X)).
% 45 [para:7.1.2,37.1.1.2] equal(double_divide(multiply(inverse(X),double_divide(Y,Z)),multiply(Z,Y)),X).
% 56 [para:7.1.2,43.1.1.2.1,demod:7] equal(multiply(inverse(X),multiply(multiply(Y,Z),X)),multiply(Y,Z)).
% 57 [para:43.1.1,37.1.1.1] equal(double_divide(inverse(X),inverse(multiply(inverse(X),Y))),Y).
% 58 [para:43.1.1,43.1.1.2] equal(multiply(inverse(multiply(inverse(X),Y)),inverse(X)),inverse(Y)).
% 59 [para:7.1.2,57.1.1.1,demod:7] equal(double_divide(multiply(X,Y),inverse(multiply(multiply(X,Y),Z))),Z).
% 67 [para:43.1.1,57.1.1.2.1] equal(double_divide(inverse(X),inverse(inverse(Y))),multiply(inverse(Y),X)).
% 71 [para:58.1.1,43.1.1.2] equal(multiply(inverse(inverse(X)),inverse(Y)),inverse(multiply(inverse(X),Y))).
% 73 [?] ?
% 79 [para:67.1.1,12.1.2.1.2.1,demod:73,71] equal(multiply(multiply(inverse(X),Y),Z),double_divide(multiply(inverse(Y),double_divide(multiply(inverse(X),Z),U)),U)).
% 85 [para:9.1.1,44.1.1.1] equal(double_divide(inverse(X),inverse(Y)),double_divide(multiply(inverse(X),double_divide(Y,Z)),Z)).
% 107 [para:6.1.1,45.1.1.1.2,demod:27,85,7] equal(double_divide(X,multiply(inverse(X),inverse(Y))),Y).
% 116 [para:7.1.2,107.1.1.2.1] equal(double_divide(double_divide(X,Y),multiply(multiply(Y,X),inverse(Z))),Z).
% 117 [para:7.1.2,107.1.1.2.2] equal(double_divide(X,multiply(inverse(X),multiply(Y,Z))),double_divide(Z,Y)).
% 131 [para:9.1.1,56.1.1.2] equal(multiply(inverse(X),inverse(Y)),multiply(Z,multiply(inverse(Y),double_divide(X,Z)))).
% 132 [para:14.1.1,56.1.1.2] equal(multiply(inverse(X),multiply(Y,Z)),multiply(U,multiply(multiply(Y,Z),double_divide(X,U)))).
% 146 [para:7.1.2,18.1.1.2.1.2.1,demod:132] equal(double_divide(X,multiply(multiply(inverse(X),multiply(Y,Z)),multiply(multiply(U,V),double_divide(Z,Y)))),double_divide(V,U)).
% 182 [para:117.1.1,10.1.1] equal(double_divide(double_divide(X,inverse(X)),inverse(Y)),Y).
% 184 [para:117.1.1,11.1.1] equal(double_divide(double_divide(X,inverse(X)),multiply(Y,Z)),double_divide(Z,Y)).
% 193 [para:182.1.1,6.1.1,demod:85,7] equal(double_divide(inverse(X),multiply(inverse(Y),Y)),X).
% 195 [para:67.1.1,182.1.1.1] equal(double_divide(multiply(inverse(X),X),inverse(Y)),Y).
% 197 [para:7.1.2,193.1.1.1] equal(double_divide(multiply(X,Y),multiply(inverse(Z),Z)),double_divide(Y,X)).
% 200 [para:193.1.1,6.1.1.2.1.1.1.1,demod:197,7] equal(double_divide(inverse(X),multiply(inverse(Y),X)),Y).
% 210 [para:71.1.1,193.1.1.2,demod:73] equal(multiply(multiply(inverse(X),X),Y),Y).
% 222 [para:19.1.1,56.1.1.2,demod:132] equal(multiply(inverse(X),inverse(Y)),multiply(multiply(inverse(X),multiply(Z,U)),multiply(inverse(Y),double_divide(U,Z)))).
% 245 [para:210.1.1,56.1.1.2] equal(multiply(inverse(X),X),multiply(inverse(Y),Y)).
% 246 [para:210.1.1,56.1.1.2.1,demod:210] equal(multiply(inverse(X),multiply(Y,X)),Y).
% 247 [para:210.1.1,59.1.1.1,demod:210] equal(double_divide(X,inverse(multiply(X,Y))),Y).
% 256 [para:7.1.2,246.1.1.1] equal(multiply(multiply(X,Y),multiply(Z,double_divide(Y,X))),Z).
% 260 [para:246.1.1,58.1.1.1.1] equal(multiply(inverse(X),inverse(Y)),inverse(multiply(X,Y))).
% 268 [para:246.1.1,246.1.1.2] equal(multiply(inverse(multiply(X,Y)),X),inverse(Y)).
% 269 [para:247.1.1,6.1.1.2.1.1.1,demod:7] equal(double_divide(X,multiply(Y,inverse(Z))),multiply(double_divide(X,Y),Z)).
% 279 [para:247.1.1,182.1.1] equal(X,multiply(double_divide(Y,inverse(Y)),X)).
% 282 [para:246.1.1,247.1.1.2.1] equal(double_divide(inverse(X),inverse(Y)),multiply(Y,X)).
% 303 [para:195.1.1,6.1.1,demod:79,7] equal(multiply(multiply(inverse(X),Y),X),Y).
% 307 [para:20.1.1,12.1.2.1.2.1,demod:7,85,146,269,132] equal(multiply(double_divide(X,Y),Z),double_divide(inverse(Z),multiply(Y,X))).
% 359 [para:7.1.2,200.1.1.2.1,demod:307] equal(multiply(double_divide(X,multiply(Y,Z)),X),double_divide(Z,Y)).
% 362 [para:200.1.1,12.1.2.1.2.1,demod:282,85,307] equal(multiply(multiply(double_divide(X,inverse(Y)),Z),X),multiply(Y,Z)).
% 366 [para:200.1.1,107.1.1] equal(inverse(inverse(X)),X).
% 368 [para:200.1.1,117.1.1] equal(inverse(multiply(X,Y)),double_divide(Y,X)).
% 371 [para:246.1.1,200.1.1.2,demod:368] equal(double_divide(double_divide(X,Y),Y),X).
% 374 [para:366.1.1,6.1.1.2.1.1.1.2,demod:7] equal(double_divide(X,multiply(Y,multiply(Z,double_divide(X,Y)))),inverse(Z)).
% 379 [para:366.1.1,37.1.1.2,demod:368,260] equal(double_divide(double_divide(X,Y),X),Y).
% 392 [para:366.1.1,193.1.1.2.1,demod:307] equal(multiply(double_divide(inverse(X),X),Y),Y).
% 394 [para:366.1.1,210.1.1.1.1] equal(multiply(multiply(X,inverse(X)),Y),Y).
% 395 [para:366.1.1,246.1.1.1] equal(multiply(X,multiply(Y,inverse(X))),Y).
% 399 [para:366.1.1,200.1.1.1,demod:368,260] equal(double_divide(X,double_divide(X,Y)),Y).
% 400 [para:366.1.1,200.1.1.2.1,demod:307] equal(multiply(double_divide(X,Y),X),inverse(Y)).
% 402 [para:21.1.1,11.1.1.2.2,demod:269,7,131] equal(double_divide(X,multiply(Y,multiply(Z,U))),multiply(double_divide(multiply(multiply(Z,U),V),multiply(Y,X)),V)).
% 406 [para:21.1.1,44.1.1.1,demod:368,260,131] equal(double_divide(multiply(X,Y),inverse(Z)),double_divide(multiply(multiply(X,Y),U),double_divide(U,Z))).
% 408 [para:21.1.1,17.1.1.2.1.2,demod:368,260,402,269,7,131] equal(double_divide(X,double_divide(Y,X)),Y).
% 410 [para:21.1.1,18.1.1.2.2,demod:406,368,260,131] equal(double_divide(X,multiply(double_divide(Y,X),multiply(Z,U))),double_divide(multiply(Z,U),inverse(Y))).
% 416 [para:19.1.1,21.1.1.1.2,demod:222,132,368,260,131] equal(multiply(multiply(double_divide(X,Y),inverse(Z)),Y),double_divide(Z,X)).
% 427 [para:371.1.1,7.1.2.1] equal(multiply(X,double_divide(Y,X)),inverse(Y)).
% 433 [para:37.1.1,371.1.1.1] equal(double_divide(X,inverse(Y)),multiply(inverse(X),Y)).
% 435 [para:44.1.1,371.1.1.1] equal(double_divide(double_divide(X,Y),inverse(Z)),multiply(multiply(Y,X),Z)).
% 441 [para:193.1.1,371.1.1.1,demod:433] equal(double_divide(X,double_divide(Y,inverse(Y))),inverse(X)).
% 450 [?] ?
% 451 [para:11.1.1,22.1.2.2.2,demod:7,433,25] equal(multiply(multiply(X,inverse(Y)),Z),multiply(multiply(multiply(X,multiply(U,V)),Z),double_divide(Y,multiply(U,V)))).
% 468 [para:107.1.1,22.1.2.2.2.1,demod:7,433,416,368,260] equal(double_divide(X,Y),multiply(Z,double_divide(X,multiply(Z,Y)))).
% 477 [para:193.1.1,22.1.2.2.2.1,demod:468,7,368,260,279,433] equal(double_divide(X,Y),double_divide(Y,X)).
% 479 [para:22.1.2,210.1.1,demod:368,7,441,433] equal(multiply(multiply(X,inverse(Y)),Z),double_divide(Y,double_divide(Z,X))).
% 487 [para:22.1.2,303.1.1.1,demod:368,433,435,479] equal(multiply(double_divide(X,double_divide(Y,Z)),U),double_divide(X,double_divide(U,multiply(Z,Y)))).
% 489 [para:366.1.1,22.1.2.2.1,demod:366] equal(multiply(multiply(X,Y),Z),multiply(U,multiply(Y,double_divide(double_divide(Z,X),U)))).
% 491 [para:371.1.1,22.1.2.2.2,demod:433,479] equal(double_divide(X,double_divide(Y,Z)),multiply(Z,double_divide(X,inverse(Y)))).
% 493 [para:379.1.1,6.1.1.2.1.1.1.1,demod:491,433,7] equal(double_divide(double_divide(X,Y),double_divide(Z,double_divide(Y,X))),Z).
% 498 [para:116.1.1,379.1.1.1] equal(double_divide(X,double_divide(Y,Z)),multiply(multiply(Z,Y),inverse(X))).
% 508 [para:44.1.1,408.1.1.2] equal(double_divide(inverse(X),double_divide(Y,Z)),multiply(multiply(Z,Y),X)).
% 509 [para:477.1.1,7.1.2.1,demod:7] equal(multiply(X,Y),multiply(Y,X)).
% 529 [para:509.1.1,13.1.1.2.2,demod:410,468,7,433] equal(double_divide(multiply(X,inverse(Y)),inverse(X)),Y).
% 568 [para:392.1.1,509.1.1] equal(X,multiply(X,double_divide(inverse(Y),Y))).
% 569 [para:394.1.1,246.1.1.2,demod:433] equal(double_divide(X,inverse(X)),multiply(Y,inverse(Y))).
% 572 [para:395.1.1,11.1.1.2.2.1,demod:374] equal(inverse(X),double_divide(multiply(X,inverse(Y)),Y)).
% 578 [para:395.1.1,247.1.1.2.1] equal(double_divide(X,inverse(Y)),multiply(Y,inverse(X))).
% 590 [para:19.1.1,24.1.1.1.2,demod:578,451,7,25,359,307,487,368,433,132] equal(double_divide(X,double_divide(Y,Z)),multiply(double_divide(X,inverse(Z)),Y)).
% 659 [para:245.1.1,26.1.1.2.2,demod:578,450,399,491,7,433] equal(multiply(double_divide(X,Y),Z),double_divide(X,double_divide(Z,inverse(Y)))).
% 665 [para:268.1.1,13.1.1.2.2,demod:578,468,7,433] equal(double_divide(X,double_divide(Y,multiply(X,Z))),multiply(Z,Y)).
% 697 [para:210.1.1,27.1.2.2,demod:433,659,578,366] equal(multiply(double_divide(X,Y),Z),double_divide(double_divide(Z,inverse(Y)),X)).
% 701 [para:303.1.1,27.1.2.2.1,demod:697,433,498,366] equal(double_divide(X,double_divide(Y,double_divide(Z,U))),multiply(double_divide(multiply(Z,X),U),Y)).
% 703 [para:366.1.1,27.1.2.2.1.2,demod:368,260,659,578] equal(multiply(double_divide(X,Y),Z),double_divide(double_divide(U,Z),multiply(multiply(Y,U),X))).
% 712 [para:400.1.1,27.1.2.2.1,demod:697,433,659,7,578] equal(double_divide(X,multiply(double_divide(Y,Z),U)),multiply(multiply(double_divide(U,X),Z),Y)).
% 717 [para:427.1.1,27.1.2.2,demod:697,433,371,701,659,578] equal(double_divide(X,double_divide(Y,Z)),multiply(double_divide(inverse(Z),X),Y)).
% 730 [para:6.1.1,28.1.1.2.1.2.2,demod:665,578,399,491,433,468,7,368,435] equal(multiply(X,Y),double_divide(double_divide(Y,multiply(Z,X)),Z)).
% 743 [para:45.1.1,28.1.2.1.2,demod:701,697,399,307,487,368,132,7,433] equal(multiply(double_divide(X,multiply(Y,Z)),U),double_divide(Z,double_divide(U,double_divide(Y,X)))).
% 757 [para:28.1.2,371.1.1.1,demod:665,578,468,7,433] equal(double_divide(multiply(X,Y),Z),double_divide(Y,multiply(Z,X))).
% 770 [para:28.1.2,427.1.1.2,demod:665,578,468,7,433] equal(multiply(X,multiply(Y,Z)),multiply(multiply(X,Y),Z)).
% 771 [para:568.1.2,28.1.2.1,demod:757,498,366] equal(double_divide(X,double_divide(Y,double_divide(double_divide(X,Z),multiply(Z,U)))),double_divide(inverse(Y),U)).
% 775 [para:282.1.1,28.1.2.1.2,demod:712,435,368,433,771,757,498,366] equal(double_divide(inverse(X),Y),double_divide(Z,multiply(double_divide(Z,X),Y))).
% 781 [para:28.1.2,28.1.2.1.2,demod:368,665,578,468,743,307,771,757,498,770,7,433] equal(double_divide(X,double_divide(Y,double_divide(Z,U))),double_divide(double_divide(Y,double_divide(U,X)),Z)).
% 850 [para:529.1.1,28.1.2.1.2,demod:717,697,408,781,498,590,433,7,578] equal(double_divide(X,double_divide(Y,double_divide(Z,double_divide(U,X)))),double_divide(Z,double_divide(Y,U))).
% 852 [para:569.1.2,27.1.2.1,demod:775,487,781,697,590,366,659,578] equal(multiply(double_divide(X,Y),Z),double_divide(Y,double_divide(inverse(X),Z))).
% 855 [para:572.1.2,28.1.2.1.2,demod:368,260,850,408,781,498,590,433,7,578] equal(double_divide(X,double_divide(Y,Z)),double_divide(double_divide(Z,Y),X)).
% 862 [para:15.1.1,31.1.2.2.1,demod:659,508,371,697,743,468,770,7,433,757] equal(double_divide(X,double_divide(Y,multiply(Z,multiply(U,V)))),multiply(double_divide(double_divide(V,multiply(U,Z)),X),Y)).
% 875 [para:31.1.2,379.1.1.1,demod:770,850,743,757,7,433,659,578] equal(double_divide(double_divide(X,Y),double_divide(Z,U)),multiply(Y,multiply(U,multiply(Z,X)))).
% 885 [para:31.1.2,400.1.1.1,demod:875,770,379,712,7,433,659,578] equal(double_divide(X,multiply(Y,multiply(Z,U))),multiply(double_divide(Z,Y),double_divide(U,X))).
% 905 [para:569.1.2,31.1.2.2,demod:399,862,7,433,770,730,659,578,757,368] equal(multiply(X,multiply(Y,Z)),multiply(Y,multiply(X,Z))).
% 998 [para:6.1.1,34.1.1.1.2.1,demod:508,743,757,368,435,770,730,659,578,7,433] equal(multiply(X,multiply(Y,Z)),double_divide(U,double_divide(X,multiply(Y,multiply(U,Z))))).
% 1055 [para:359.1.1,256.1.1.2,demod:770] equal(multiply(X,multiply(Y,double_divide(Z,U))),double_divide(double_divide(Y,X),multiply(U,Z))).
% 1071 [para:17.1.1,468.1.2.2,demod:468,1055,770,7,433] equal(double_divide(X,double_divide(Y,multiply(Z,U))),multiply(double_divide(double_divide(U,Z),X),Y)).
% 1083 [para:468.1.2,31.1.2.2,demod:7,433,371,697,781,578,875,770] equal(double_divide(double_divide(X,Y),double_divide(Z,multiply(U,V))),double_divide(double_divide(V,multiply(Y,X)),double_divide(Z,U))).
% 1093 [para:493.1.1,400.1.1.1,demod:7] equal(multiply(X,double_divide(Y,Z)),multiply(double_divide(Z,Y),X)).
% 1144 [para:31.1.2,665.1.1.2,demod:7,433,717,775,712,757,659,578] equal(double_divide(X,double_divide(Y,double_divide(Z,U))),multiply(Y,double_divide(U,multiply(Z,X)))).
% 1279 [para:855.1.1,1093.1.1.2,demod:1071] equal(multiply(X,double_divide(double_divide(Y,Z),U)),double_divide(U,double_divide(X,multiply(Y,Z)))).
% 1285 [para:184.1.1,33.1.1.2.2,demod:1083,1071,7,433,1279,875,770,408,368,260] equal(double_divide(double_divide(X,Y),double_divide(double_divide(Y,multiply(Z,X)),multiply(U,multiply(V,Z)))),multiply(U,V)).
% 1296 [para:362.1.1,34.1.1.2,demod:852,590,578,399,487,757,781,1144,1055,7,433,770,282] equal(double_divide(double_divide(X,Y),double_divide(Z,double_divide(U,multiply(X,V)))),double_divide(U,multiply(double_divide(Y,Z),V))).
% 1718 [para:703.1.2,489.1.2.2.2.1,demod:379,781,1279,1144,757,1071,875,770] equal(double_divide(double_divide(X,Y),double_divide(double_divide(Y,Z),multiply(U,V))),double_divide(Z,double_divide(V,multiply(X,U)))).
% 1949 [input:8,cut:210,cut:245,cut:509] -equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))).
% 1950 [para:1285.1.2,1949.1.1,demod:998,885,1296,1718,1083,875,770,cut:905] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% not using sos strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% clause length limited to 7
% clause depth limited to 7
% seconds given: 10
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 419
% derived clauses: 197275
% kept clauses: 1933
% kept size sum: 35958
% kept mid-nuclei: 6
% kept new demods: 1064
% forw unit-subs: 195158
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 39
% fast unit cutoff: 6
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 7.55
% process. runtime: 7.52
% 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/GRP104-1+eq_r.in")
%
%------------------------------------------------------------------------------