TSTP Solution File: GRP469-1 by Gandalf---c-2.6
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%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP469-1 : 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 : art05.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/GRP469-1+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(4,40,0,8,0,0)
%
%
% START OF PROOF
% 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(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).
% 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)).
% 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)).
% 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)).
% 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))))).
% 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))).
% 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)).
% 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)).
% 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))))).
% 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)))).
% 1785 [para:493.1.2,492.1.2.1.1] equal(divide(multiply(X,Y),Y),multiply(multiply(X,inverse(Z)),Z)).
% 1896 [para:1785.1.2,394.1.2] equal(X,divide(multiply(multiply(divide(divide(X,Y),Z),multiply(Z,Y)),U),U)).
% 1981 [para:1785.1.2,915.1.2] equal(divide(divide(X,multiply(inverse(inverse(Y)),inverse(multiply(Z,Y)))),Z),divide(multiply(X,U),U)).
% 2016 [para:1785.1.2,1785.1.2] equal(divide(multiply(X,Y),Y),divide(multiply(X,Z),Z)).
% 2067 [para:2016.1.1,169.1.1.2.2.1,demod:169] equal(divide(X,multiply(Y,X)),divide(Z,multiply(Y,Z))).
% 2252 [para:2067.1.1,35.1.2.1.2] equal(inverse(divide(inverse(X),Y)),multiply(multiply(multiply(Y,X),divide(Z,multiply(U,Z))),U)).
% 3020 [para:50.1.2,2067.1.1.2,demod:32,7] equal(inverse(X),divide(Y,multiply(multiply(divide(Z,U),multiply(divide(U,Z),X)),Y))).
% 5604 [para:2252.1.2,2016.1.1.1] equal(divide(inverse(divide(inverse(X),Y)),Z),divide(multiply(multiply(multiply(Y,X),divide(U,multiply(Z,U))),V),V)).
% 7062 [para:1981.1.1,394.1.2.1.1.1.1,demod:535] equal(divide(X,multiply(inverse(inverse(Y)),inverse(multiply(Z,Y)))),multiply(X,Z)).
% 7107 [para:7062.1.1,2067.1.1] equal(multiply(inverse(multiply(X,Y)),X),divide(Z,multiply(inverse(inverse(Y)),Z))).
% 7372 [para:7107.1.1,1896.1.2.1.1.2,demod:5604,7] equal(X,multiply(inverse(divide(inverse(multiply(Y,Z)),divide(X,Y))),inverse(Z))).
% 8033 [para:7372.1.2,32.1.2.1.2.2] equal(inverse(inverse(X)),multiply(multiply(divide(Y,Z),divide(divide(Z,Y),U)),inverse(divide(inverse(multiply(V,X)),divide(U,V))))).
% 8693 [para:366.1.1,76.1.1.2.2,demod:8033,7] equal(multiply(divide(X,Y),multiply(divide(Y,X),Z)),inverse(inverse(Z))).
% 8906 [para:8693.1.1,3020.1.2.2.1] equal(inverse(X),divide(Y,multiply(inverse(inverse(X)),Y))).
% 9055 [para:8906.1.2,7062.1.1] equal(inverse(X),multiply(inverse(multiply(Y,X)),Y)).
% 9172 [para:9055.1.2,2067.1.1.2,demod:7] equal(multiply(X,Y),divide(Z,multiply(inverse(multiply(X,Y)),Z))).
% 9245 [para:28.1.2,9172.1.2.2.1.1,demod:28] equal(X,divide(Y,multiply(inverse(X),Y))).
% 9312 [para:9245.1.2,28.1.2.1.2.2] equal(multiply(inverse(X),Y),multiply(multiply(divide(Z,U),divide(divide(U,Z),X)),Y)).
% 9375 [para:9245.1.2,29.1.2.2.1.2,demod:9312,7] equal(divide(multiply(inverse(X),Y),Z),multiply(inverse(X),inverse(divide(Z,Y)))).
% 9386 [para:9245.1.2,493.1.2.2.2] equal(inverse(X),multiply(divide(Y,Z),divide(divide(Z,Y),X))).
% 9409 [para:9245.1.2,530.1.1.1,demod:9386] equal(multiply(X,divide(divide(multiply(inverse(X),Y),Y),Z)),inverse(Z)).
% 9423 [para:9245.1.2,47.1.2.1.1,demod:9375,9386,9409] equal(inverse(X),divide(multiply(inverse(Y),Y),X)).
% 9454 [para:7372.1.2,9245.1.2.2] equal(divide(inverse(multiply(X,Y)),divide(Z,X)),divide(inverse(Y),Z)).
% 9656 [para:9423.1.2,9.1.1.1.1.2,demod:9454,7,slowcut:8] 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: 238
% derived clauses: 123011
% kept clauses: 9646
% kept size sum: 256515
% kept mid-nuclei: 0
% kept new demods: 2404
% forw unit-subs: 34047
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 15
% fast unit cutoff: 0
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 3.0
% process. runtime: 2.99
% 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/GRP469-1+eq_r.in")
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