TSTP Solution File: GRP584-1 by Gandalf---c-2.6
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%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP584-1 : 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 : art07.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
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%----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/GRP584-1+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(6,40,0,12,0,0)
%
%
% START OF PROOF
% 8 [] equal(double_divide(double_divide(X,double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,X)))),double_divide(identity,identity)),Z).
% 9 [] equal(multiply(X,Y),double_divide(double_divide(Y,X),identity)).
% 10 [] equal(inverse(X),double_divide(X,identity)).
% 11 [] equal(identity,double_divide(X,inverse(X))).
% 12 [] -equal(multiply(a,b),multiply(b,a)).
% 13 [para:9.1.2,10.1.2] equal(inverse(double_divide(X,Y)),multiply(Y,X)).
% 14 [para:10.1.2,9.1.2.1,demod:10] equal(multiply(identity,X),inverse(inverse(X))).
% 15 [para:11.1.2,9.1.2.1,demod:10] equal(multiply(inverse(X),X),inverse(identity)).
% 16 [para:9.1.2,9.1.2.1,demod:10] equal(multiply(identity,double_divide(X,Y)),inverse(multiply(Y,X))).
% 17 [para:10.1.2,8.1.1.1.2.1,demod:10] equal(double_divide(double_divide(X,double_divide(inverse(identity),double_divide(Y,double_divide(identity,X)))),inverse(identity)),Y).
% 18 [para:10.1.2,8.1.1.1.2.2.2,demod:10] equal(double_divide(double_divide(identity,double_divide(double_divide(identity,X),double_divide(Y,inverse(X)))),inverse(identity)),Y).
% 19 [para:10.1.2,8.1.1.2] equal(double_divide(double_divide(X,double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,X)))),inverse(identity)),Z).
% 20 [para:11.1.2,8.1.1.1.2.2.2,demod:10] equal(double_divide(double_divide(inverse(X),double_divide(double_divide(identity,X),inverse(Y))),inverse(identity)),Y).
% 21 [para:8.1.1,9.1.2.1,demod:10] equal(multiply(inverse(identity),double_divide(X,double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,X))))),inverse(Z)).
% 22 [para:9.1.2,8.1.1.1.2.2.2,demod:10] equal(double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(X,Y)),double_divide(Z,multiply(Y,X)))),inverse(identity)),Z).
% 24 [para:14.1.2,11.1.2.2] equal(identity,double_divide(inverse(X),multiply(identity,X))).
% 25 [para:14.1.2,14.1.2.1] equal(multiply(identity,inverse(X)),inverse(multiply(identity,X))).
% 27 [para:13.1.1,11.1.2.2] equal(identity,double_divide(double_divide(X,Y),multiply(Y,X))).
% 28 [para:13.1.1,15.1.1.1] equal(multiply(multiply(X,Y),double_divide(Y,X)),inverse(identity)).
% 29 [para:24.1.2,8.1.1.1.2.2.2,demod:10] equal(double_divide(double_divide(multiply(identity,X),double_divide(double_divide(identity,inverse(X)),inverse(Y))),inverse(identity)),Y).
% 39 [para:11.1.2,17.1.1.1.2.2.2,demod:10] equal(double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X))),inverse(identity)),X).
% 50 [para:11.1.2,18.1.1.1.2.2,demod:9] equal(double_divide(double_divide(identity,multiply(X,identity)),inverse(identity)),X).
% 57 [para:15.1.1,50.1.1.1.2,demod:11] equal(identity,inverse(identity)).
% 59 [para:50.1.1,18.1.1.1.2.2,demod:9,57,10] equal(multiply(double_divide(identity,X),identity),double_divide(identity,multiply(X,identity))).
% 60 [para:57.1.2,14.1.2.1,demod:57] equal(multiply(identity,identity),identity).
% 62 [para:57.1.2,39.1.1.1.1,demod:59,9,57] equal(double_divide(identity,multiply(inverse(X),identity)),X).
% 64 [para:57.1.2,50.1.1.2,demod:9] equal(multiply(multiply(X,identity),identity),X).
% 65 [para:64.1.1,27.1.2.2] equal(identity,double_divide(double_divide(identity,multiply(X,identity)),X)).
% 69 [para:13.1.1,62.1.1.2.1] equal(double_divide(identity,multiply(multiply(X,Y),identity)),double_divide(Y,X)).
% 81 [para:65.1.2,17.1.1.1.2.2,demod:59,14,10,57] equal(multiply(identity,X),double_divide(identity,double_divide(identity,multiply(X,identity)))).
% 82 [para:65.1.2,19.1.1.1.2.2.2,demod:9,57,10,81] equal(multiply(double_divide(multiply(identity,X),inverse(Y)),X),Y).
% 88 [para:82.1.1,50.1.1.1.2,demod:60,9,57] equal(multiply(X,identity),double_divide(identity,inverse(X))).
% 90 [para:88.1.2,9.1.2.1,demod:10] equal(multiply(inverse(X),identity),inverse(multiply(X,identity))).
% 94 [para:13.1.1,88.1.2.2] equal(multiply(double_divide(X,Y),identity),double_divide(identity,multiply(Y,X))).
% 99 [para:11.1.2,20.1.1.1.2,demod:25,57,14,10] equal(multiply(identity,inverse(X)),double_divide(identity,X)).
% 120 [para:65.1.2,21.1.1.2.2.2,demod:69,59,13,94,16,9,57] equal(inverse(multiply(multiply(X,identity),Y)),double_divide(X,Y)).
% 167 [para:28.1.1,120.1.1.1,demod:57] equal(identity,double_divide(X,double_divide(identity,X))).
% 169 [para:64.1.1,120.1.1.1.1] equal(inverse(multiply(X,Y)),double_divide(multiply(X,identity),Y)).
% 178 [para:167.1.2,8.1.1.1.2.2,demod:14,57,10] equal(multiply(identity,X),X).
% 181 [para:167.1.2,21.1.1.2.2.2,demod:99,10,57] equal(double_divide(identity,X),inverse(X)).
% 183 [para:167.1.2,22.1.1.1.2.1,demod:178,14,169,57,90,181,88,10,60] equal(multiply(X,identity),X).
% 194 [para:14.1.2,29.1.1.1.2.2,demod:9,57,183,88,178] equal(multiply(double_divide(X,Y),X),inverse(Y)).
% 198 [para:120.1.1,29.1.1.1.2.2,demod:13,194,9,57,183,88,178,slowcut:12] 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: 54
% derived clauses: 1014
% kept clauses: 184
% kept size sum: 2326
% kept mid-nuclei: 0
% kept new demods: 184
% forw unit-subs: 798
% 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 : 0.2
% 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/GRP584-1+eq_r.in")
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