TSTP Solution File: GRP470-1 by Gandalf---c-2.6
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%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP470-1 : 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 : 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/GRP470-1+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(4,40,1,8,0,1)
%
%
% 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).
% 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).
% 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)).
% 19 [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))))).
% 23 [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)).
% 27 [para:6.1.1,23.1.2.1.2.2] equal(divide(divide(X,Y),Z),multiply(multiply(divide(U,V),divide(divide(V,U),W)),inverse(divide(Z,divide(W,divide(Y,X)))))).
% 28 [para:6.1.1,23.1.2.1.2.2.2,demod:6] equal(X,multiply(multiply(divide(Y,Z),divide(divide(Z,Y),divide(U,X))),U)).
% 29 [para:9.1.1,23.1.2.1.2.2] 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)))))).
% 30 [para:7.1.2,28.1.2.1.1] equal(X,multiply(multiply(multiply(Y,Z),divide(divide(inverse(Z),Y),divide(U,X))),U)).
% 31 [para:7.1.2,28.1.2.1.2.1] equal(X,multiply(multiply(divide(inverse(Y),Z),divide(multiply(Z,Y),divide(U,X))),U)).
% 32 [para:7.1.2,28.1.2.1.2.2] equal(inverse(X),multiply(multiply(divide(Y,Z),divide(divide(Z,Y),multiply(U,X))),U)).
% 33 [para:11.1.1,28.1.2.1.2.2] 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))).
% 35 [para:7.1.2,30.1.2.1.2.2] equal(inverse(X),multiply(multiply(multiply(Y,Z),divide(divide(inverse(Z),Y),multiply(U,X))),U)).
% 38 [para:11.1.1,30.1.2.1.2.2] equal(multiply(divide(X,Y),divide(divide(Y,X),divide(Z,divide(U,V)))),multiply(multiply(multiply(W,X1),divide(divide(inverse(X1),W),divide(V,U))),inverse(Z))).
% 39 [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))))).
% 40 [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))))).
% 47 [para:28.1.2,32.1.2.1.2.2] 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:32.1.2,32.1.2.1.2.2,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))))).
% 76 [para:14.1.1,28.1.2.1.2.2] 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))).
% 77 [para:28.1.2,14.1.1.2.2.2.2] 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))))).
% 141 [para:7.1.2,39.1.1.2.1.2] equal(divide(inverse(multiply(X,Y)),divide(divide(Z,multiply(U,V)),X)),inverse(divide(Z,divide(inverse(Y),divide(inverse(V),U))))).
% 169 [para:19.1.1,11.1.1] equal(multiply(divide(divide(X,Y),Z),divide(Z,divide(divide(U,V),divide(Y,X)))),divide(V,U)).
% 171 [para:19.1.1,14.1.1] equal(multiply(divide(divide(X,Y),Z),divide(Z,divide(multiply(U,V),divide(Y,X)))),divide(inverse(V),U)).
% 176 [para:7.1.2,169.1.1.1.1] equal(multiply(divide(multiply(X,Y),Z),divide(Z,divide(divide(U,V),divide(inverse(Y),X)))),divide(V,U)).
% 186 [para:7.1.2,171.1.1.1.1] equal(multiply(divide(multiply(X,Y),Z),divide(Z,divide(multiply(U,V),divide(inverse(Y),X)))),divide(inverse(V),U)).
% 349 [para:141.1.2,6.1.1.1,demod:7] equal(divide(divide(inverse(multiply(X,Y)),divide(divide(Z,multiply(U,V)),X)),divide(multiply(U,V),Z)),inverse(Y)).
% 361 [para:11.1.1,349.1.1.1.2.1,demod:28,7] equal(divide(divide(inverse(multiply(X,Y)),divide(divide(Z,U),X)),divide(U,Z)),inverse(Y)).
% 366 [para:14.1.1,349.1.1.1.2.1,demod:28,7] equal(divide(divide(inverse(multiply(X,Y)),divide(divide(inverse(Z),U),X)),multiply(U,Z)),inverse(Y)).
% 394 [para:361.1.1,28.1.2.1.2,demod:7] equal(X,multiply(multiply(multiply(divide(divide(X,Y),Z),multiply(Z,U)),inverse(U)),Y)).
% 409 [para:361.1.1,19.1.2.2.2,demod:7,11] equal(multiply(divide(divide(X,Y),Z),multiply(Z,U)),multiply(divide(divide(X,Y),V),multiply(V,U))).
% 439 [para:7.1.2,394.1.2.1.1.1] equal(X,multiply(multiply(multiply(multiply(divide(X,Y),Z),multiply(inverse(Z),U)),inverse(U)),Y)).
% 463 [para:7.1.2,439.1.2.1.1.1.1] equal(X,multiply(multiply(multiply(multiply(multiply(X,Y),Z),multiply(inverse(Z),U)),inverse(U)),inverse(Y))).
% 492 [para:33.1.1,23.1.2.1] equal(divide(X,Y),multiply(multiply(multiply(divide(Z,U),divide(divide(U,Z),divide(Y,X))),inverse(V)),V)).
% 493 [para:33.1.2,28.1.2,demod:7] equal(X,multiply(divide(Y,Z),divide(divide(Z,Y),divide(U,multiply(X,U))))).
% 503 [para:7.1.2,493.1.2.1] equal(X,multiply(multiply(Y,Z),divide(divide(inverse(Z),Y),divide(U,multiply(X,U))))).
% 504 [para:7.1.2,493.1.2.2.1] equal(X,multiply(divide(inverse(Y),Z),divide(multiply(Z,Y),divide(U,multiply(X,U))))).
% 530 [para:27.1.2,493.1.2.2.2.2,demod:6] equal(multiply(divide(X,Y),divide(divide(Y,X),Z)),multiply(divide(U,V),divide(divide(V,U),Z))).
% 535 [para:361.1.1,493.1.2.2,demod:7] equal(X,multiply(multiply(divide(divide(multiply(X,Y),Y),Z),multiply(Z,U)),inverse(U))).
% 915 [para:394.1.2,463.1.2.1.1] equal(divide(divide(X,multiply(inverse(inverse(Y)),Z)),U),multiply(multiply(X,inverse(Z)),inverse(multiply(U,Y)))).
% 933 [para:6.1.1,409.1.1.1.1,demod:6] equal(multiply(divide(X,Y),multiply(Y,Z)),multiply(divide(X,U),multiply(U,Z))).
% 974 [para:7.1.2,933.1.1.1] equal(multiply(multiply(X,Y),multiply(inverse(Y),Z)),multiply(divide(X,U),multiply(U,Z))).
% 1076 [para:974.1.1,14.1.1.2.2.2.2,demod:14] equal(divide(inverse(multiply(X,Y)),divide(Z,X)),divide(inverse(multiply(inverse(U),Y)),multiply(Z,U))).
% 1330 [para:7.1.2,530.1.1.2,demod:7] equal(multiply(divide(X,Y),multiply(divide(Y,X),Z)),multiply(divide(U,V),multiply(divide(V,U),Z))).
% 1738 [para:493.1.2,492.1.2.1.1] equal(divide(multiply(X,Y),Y),multiply(multiply(X,inverse(Z)),Z)).
% 1849 [para:1738.1.2,394.1.2] equal(X,divide(multiply(multiply(divide(divide(X,Y),Z),multiply(Z,Y)),U),U)).
% 1929 [para:1738.1.2,915.1.2] equal(divide(divide(X,multiply(inverse(inverse(Y)),inverse(multiply(Z,Y)))),Z),divide(multiply(X,U),U)).
% 1964 [para:1738.1.2,1738.1.2] equal(divide(multiply(X,Y),Y),divide(multiply(X,Z),Z)).
% 1983 [para:1964.1.1,31.1.2.1.2] equal(X,multiply(multiply(divide(inverse(divide(Y,X)),Z),divide(multiply(Z,U),U)),Y)).
% 2015 [para:1964.1.1,169.1.1.2.2.1,demod:169] equal(divide(X,multiply(Y,X)),divide(Z,multiply(Y,Z))).
% 2197 [para:2015.1.1,35.1.2.1.2] equal(inverse(divide(inverse(X),Y)),multiply(multiply(multiply(Y,X),divide(Z,multiply(U,Z))),U)).
% 2942 [para:50.1.2,2015.1.1.2,demod:32,7] equal(inverse(X),divide(Y,multiply(multiply(divide(Z,U),multiply(divide(U,Z),X)),Y))).
% 5476 [para:2197.1.2,1964.1.1.1] equal(divide(inverse(divide(inverse(X),Y)),Z),divide(multiply(multiply(multiply(Y,X),divide(U,multiply(Z,U))),V),V)).
% 6914 [para:1929.1.1,394.1.2.1.1.1.1,demod:535] equal(divide(X,multiply(inverse(inverse(Y)),inverse(multiply(Z,Y)))),multiply(X,Z)).
% 6959 [para:6914.1.1,2015.1.1] equal(multiply(inverse(multiply(X,Y)),X),divide(Z,multiply(inverse(inverse(Y)),Z))).
% 7215 [para:6959.1.1,1849.1.2.1.1.2,demod:5476,7] equal(X,multiply(inverse(divide(inverse(multiply(Y,Z)),divide(X,Y))),inverse(Z))).
% 7863 [para:7215.1.2,32.1.2.1.2.2] equal(inverse(inverse(X)),multiply(multiply(divide(Y,Z),divide(divide(Z,Y),U)),inverse(divide(inverse(multiply(V,X)),divide(U,V))))).
% 8509 [para:366.1.1,76.1.1.2.2,demod:7863,7] equal(multiply(divide(X,Y),multiply(divide(Y,X),Z)),inverse(inverse(Z))).
% 8587 [para:7.1.2,8509.1.1.1] equal(multiply(multiply(X,Y),multiply(divide(inverse(Y),X),Z)),inverse(inverse(Z))).
% 8717 [para:8509.1.1,2942.1.2.2.1] equal(inverse(X),divide(Y,multiply(inverse(inverse(X)),Y))).
% 8864 [para:8717.1.2,6914.1.1] equal(inverse(X),multiply(inverse(multiply(Y,X)),Y)).
% 8978 [para:8864.1.2,2015.1.1.2,demod:7] equal(multiply(X,Y),divide(Z,multiply(inverse(multiply(X,Y)),Z))).
% 9051 [para:28.1.2,8978.1.2.2.1.1,demod:28] equal(X,divide(Y,multiply(inverse(X),Y))).
% 9116 [para:9051.1.2,28.1.2.1.2.2] equal(multiply(inverse(X),Y),multiply(multiply(divide(Z,U),divide(divide(U,Z),X)),Y)).
% 9121 [para:9051.1.2,32.1.2.1.2] equal(inverse(divide(X,Y)),multiply(multiply(divide(Y,X),Z),inverse(Z))).
% 9179 [para:9051.1.2,29.1.2.2.1.2,demod:9116,7] equal(divide(multiply(inverse(X),Y),Z),multiply(inverse(X),inverse(divide(Z,Y)))).
% 9190 [para:9051.1.2,493.1.2.2.2] equal(inverse(X),multiply(divide(Y,Z),divide(divide(Z,Y),X))).
% 9192 [para:9051.1.2,503.1.2.2.2] equal(inverse(X),multiply(multiply(Y,Z),divide(divide(inverse(Z),Y),X))).
% 9194 [para:9051.1.2,504.1.2.2.2] equal(inverse(X),multiply(divide(inverse(Y),Z),divide(multiply(Z,Y),X))).
% 9211 [para:9051.1.2,530.1.1.1,demod:9190] equal(multiply(X,divide(divide(multiply(inverse(X),Y),Y),Z)),inverse(Z)).
% 9225 [para:9051.1.2,47.1.2.1.1,demod:9179,9190,9211] equal(inverse(X),divide(multiply(inverse(Y),Y),X)).
% 9265 [para:77.1.1,11.1.1,demod:7,9190] equal(multiply(inverse(X),divide(X,divide(Y,Z))),divide(Z,Y)).
% 9451 [para:9225.1.2,7.1.2] equal(multiply(multiply(inverse(X),X),Y),inverse(inverse(Y))).
% 9491 [para:9225.1.2,176.1.1.1,demod:9225,9265,7] equal(inverse(divide(X,Y)),divide(Y,X)).
% 9502 [para:9225.1.2,186.1.1.1,demod:9225,9265,7] equal(inverse(multiply(X,Y)),divide(inverse(Y),X)).
% 9539 [para:9225.1.2,33.1.1.2.2.2,demod:9225,9491,9502,9190,7] equal(divide(inverse(X),Y),multiply(inverse(X),inverse(Y))).
% 9541 [para:9225.1.2,33.1.2.1.2.2,demod:9539,8509,7,9491,9190] equal(divide(divide(X,multiply(inverse(Y),Y)),Z),divide(inverse(inverse(X)),Z)).
% 9544 [para:9225.1.2,493.1.2.2.2,demod:8509,9225,7,9502] equal(X,inverse(inverse(X))).
% 9545 [para:9225.1.2,504.1.2.2,demod:9451,9491,7] equal(X,divide(multiply(X,Y),Y)).
% 9556 [para:9225.1.2,38.1.1.1,demod:9491,9192,9265,9544,9541] equal(divide(divide(X,Y),Z),multiply(divide(X,Y),inverse(Z))).
% 9557 [para:9225.1.2,38.1.2.1.2.2,demod:8587,7,9544,9541,9491,9190] equal(divide(X,Y),multiply(X,inverse(Y))).
% 9563 [para:9225.1.2,1076.1.1.2,demod:9545,9544,9451,7,9502] equal(multiply(divide(inverse(X),Y),Y),inverse(X)).
% 9569 [para:9225.1.2,1330.1.1.1,demod:9544,8509] equal(multiply(inverse(X),multiply(divide(X,multiply(inverse(Y),Y)),Z)),Z).
% 9574 [para:9225.1.2,492.1.2.1.1.1,demod:9556,9265,9544,9541] equal(divide(X,Y),multiply(divide(divide(X,Y),Z),Z)).
% 9576 [para:9225.1.2,2015.1.1,demod:9225,7,9502] equal(inverse(X),divide(Y,multiply(X,Y))).
% 9581 [para:9225.1.2,50.1.2.1.1,demod:9502,9190,9569] equal(inverse(X),multiply(Y,divide(inverse(Y),X))).
% 9585 [para:9225.1.2,1983.1.2.1.2,demod:9121,7,9491] equal(X,multiply(divide(X,Y),Y)).
% 9595 [para:9225.1.2,1929.1.1.1,demod:9451,9581,9502,9544] equal(divide(X,X),divide(Y,Y)).
% 9597 [para:9225.1.2,7215.1.2.1.1.2,demod:9557,9544,9563,7,9502] equal(multiply(inverse(X),X),divide(Y,Y)).
% 9603 [para:9225.1.2,77.1.1.2.2.2,demod:9491,9190,9225,9544,8509,7,9502] equal(inverse(X),divide(inverse(Y),divide(X,Y))).
% 9636 [para:9545.1.2,6.1.1.1.1.2,demod:9491] equal(divide(divide(X,Y),divide(divide(Z,U),Y)),multiply(X,divide(U,Z))).
% 9645 [para:9545.1.2,12.1.1.2.1.2,demod:7,9576,9636,9491] equal(multiply(X,divide(Y,Z)),divide(multiply(X,Y),Z)).
% 9646 [para:9545.1.2,15.1.1.2.2.2,demod:7,9194,9491,9645] equal(multiply(divide(X,multiply(Y,Z)),Y),divide(X,Z)).
% 9652 [para:9545.1.2,19.1.2.2.2,demod:9574,9603,9491,9190,9645] equal(divide(X,multiply(Y,Z)),divide(divide(X,Z),Y)).
% 9672 [para:535.1.2,9545.1.2.1,demod:7,9545] equal(multiply(divide(X,Y),multiply(Y,Z)),multiply(X,Z)).
% 9675 [para:9545.1.2,933.1.1.1,demod:9672] equal(multiply(X,multiply(Y,Z)),multiply(multiply(X,Y),Z)).
% 9691 [para:9585.1.2,40.1.1.2.1.2,demod:7,9603,9646,9652,9491] equal(divide(X,divide(Y,Z)),divide(multiply(X,Z),Y)).
% 9699 [para:9585.1.2,535.1.2.1.1.1.1,demod:9646,9691,9645,9557,9675,9652] equal(divide(X,Y),divide(X,multiply(divide(Z,Z),Y))).
% 9706 [para:9595.1.1,28.1.2.1.2.2,demod:9585,9645,9699,9652] equal(X,multiply(divide(Y,Y),X)).
% 9717 [para:9597.1.1,8.1.1.1,demod:9706,cut:5] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% using first neg lit preferred strategy
% not using sos strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% using clause demodulation
% clause length limited to 1
% clause depth limited to 6
% seconds given: 60
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 253
% derived clauses: 133280
% kept clauses: 9708
% kept size sum: 255099
% kept mid-nuclei: 0
% kept new demods: 2600
% forw unit-subs: 44519
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 18
% fast unit cutoff: 1
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 3.58
% process. runtime: 3.55
% 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/GRP470-1+eq_r.in")
%
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