TSTP Solution File: GRP564-1 by Gandalf---c-2.6
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% File : Gandalf---c-2.6
% Problem : GRP564-1 : 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 : art02.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 :
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%----NO SOLUTION OUTPUT BY SYSTEM
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%----ORIGINAL SYSTEM OUTPUT
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% Gandalf c-2.6 r1 starting to prove: /home/graph/tptp/TSTP/PreparedTPTP/otter:hypothesis:set(auto),clear(print_given)---add_equality:r/GRP/GRP564-1+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
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% detected problem class: ueq
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% strategies selected:
% (binary-posweight-kb-big-order 60 #f 5 1)
% (binary-posweight-lex-big-order 30 #f 5 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 ****
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%
% timer checkpoints: c(4,40,1,8,0,1,12,50,1,16,0,1)
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%
% START OF PROOF
% 14 [] equal(divide(divide(divide(X,inverse(Y)),Z),divide(X,Z)),Y).
% 15 [] equal(multiply(X,Y),divide(X,inverse(Y))).
% 16 [] -equal(multiply(a,b),multiply(b,a)).
% 17 [para:15.1.2,14.1.1.1,demod:15] equal(divide(multiply(multiply(X,Y),Z),multiply(X,Z)),Y).
% 18 [para:15.1.2,14.1.1.1.1] equal(divide(divide(multiply(X,Y),Z),divide(X,Z)),Y).
% 19 [para:14.1.1,14.1.1.1,demod:15] equal(divide(X,divide(multiply(Y,X),multiply(Y,Z))),Z).
% 20 [para:14.1.1,14.1.1.2,demod:15] equal(divide(divide(multiply(divide(multiply(X,Y),Z),U),divide(X,Z)),Y),U).
% 23 [para:19.1.1,14.1.1.2,demod:15] equal(divide(divide(multiply(X,Y),divide(multiply(Z,X),multiply(Z,U))),U),Y).
% 24 [para:23.1.1,15.1.2] equal(multiply(divide(multiply(X,Y),divide(multiply(Z,X),multiply(Z,inverse(U)))),U),Y).
% 25 [para:24.1.1,20.1.1.1.1,demod:15,19] equal(divide(multiply(X,Y),X),Y).
% 26 [para:25.1.1,15.1.2] equal(multiply(multiply(inverse(X),Y),X),Y).
% 29 [para:25.1.1,18.1.1.1] equal(divide(X,divide(Y,Y)),X).
% 35 [para:29.1.1,25.1.1] equal(multiply(divide(X,X),Y),Y).
% 37 [para:35.1.1,17.1.1.1.1,demod:35] equal(divide(multiply(X,Y),Y),X).
% 56 [para:35.1.1,37.1.1.1] equal(divide(X,X),divide(Y,Y)).
% 73 [para:26.1.1,37.1.1.1] equal(divide(X,Y),multiply(inverse(Y),X)).
% 75 [para:56.1.1,24.1.1.1.2,demod:29,73] equal(multiply(divide(X,Y),Y),X).
% 98 [para:25.1.1,75.1.1.1,slowcut:16] 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: 29
% derived clauses: 380
% kept clauses: 84
% kept size sum: 1005
% kept mid-nuclei: 0
% kept new demods: 87
% forw unit-subs: 225
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 0
% fast unit cutoff: 0
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 0.1
% process. runtime: 0.1
% 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/GRP564-1+eq_r.in")
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