%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP489-1 : 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 : art03.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/GRP489-1+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 7 1)
% (binary-posweight-lex-big-order 30 #f 7 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(6,40,1,12,0,1)
%
%
% START OF PROOF
% 7 [] equal(X,X).
% 8 [] equal(double_divide(X,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y),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(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))).
% 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))).
% 25 [para:10.1.2,8.1.1.2,demod:13,10] equal(double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))))),Z).
% 26 [para:10.1.2,8.1.1.2.1,demod:13,10] equal(double_divide(X,inverse(multiply(double_divide(inverse(X),double_divide(identity,Y)),identity))),Y).
% 28 [para:11.1.2,8.1.1.2.1.1.2.2,demod:9,14,10] equal(double_divide(X,multiply(Y,double_divide(identity,multiply(identity,X)))),inverse(Y)).
% 29 [para:8.1.1,9.1.2.1,demod:9,10] equal(multiply(multiply(X,double_divide(identity,double_divide(inverse(Y),double_divide(X,Z)))),Y),inverse(Z)).
% 39 [para:15.1.1,28.1.1.2,demod:13] equal(double_divide(X,inverse(identity)),inverse(multiply(multiply(identity,X),identity))).
% 41 [para:16.1.1,28.1.1.2,demod:39] equal(double_divide(X,double_divide(X,inverse(identity))),inverse(identity)).
% 45 [para:41.1.1,8.1.1.2.1.1.2,demod:9,10,11] equal(double_divide(X,multiply(inverse(X),identity)),inverse(identity)).
% 46 [para:45.1.1,9.1.2.1,demod:14,10] equal(multiply(multiply(inverse(X),identity),X),multiply(identity,identity)).
% 48 [para:15.1.1,45.1.1.2,demod:11] equal(identity,inverse(identity)).
% 49 [para:45.1.1,13.1.1.1,demod:46,48] equal(identity,multiply(identity,identity)).
% 52 [para:45.1.1,8.1.1.2.1.1.2.2,demod:28,9,14,48,10] equal(inverse(X),multiply(inverse(X),identity)).
% 53 [para:49.1.2,28.1.1.2.2.2,demod:48,10] equal(double_divide(identity,multiply(X,identity)),inverse(X)).
% 60 [para:13.1.1,52.1.2.1,demod:13] equal(multiply(X,Y),multiply(multiply(X,Y),identity)).
% 63 [para:53.1.1,9.1.2.1,demod:14,10,60] equal(multiply(X,identity),multiply(identity,X)).
% 64 [para:53.1.1,13.1.1.1,demod:60,14] equal(multiply(identity,X),multiply(X,identity)).
% 70 [para:52.1.2,53.1.1.2,demod:14] equal(double_divide(identity,inverse(X)),multiply(identity,X)).
% 72 [para:63.1.2,16.1.1] equal(multiply(double_divide(X,Y),identity),inverse(multiply(Y,X))).
% 82 [para:63.1.2,28.1.1.2.2.2,demod:53] equal(double_divide(X,multiply(Y,inverse(X))),inverse(Y)).
% 84 [para:63.1.1,52.1.2] equal(inverse(X),multiply(identity,inverse(X))).
% 87 [para:13.1.1,84.1.2.2,demod:13] equal(multiply(X,Y),multiply(identity,multiply(X,Y))).
% 91 [para:64.1.1,25.1.1.2,demod:13,82,87,14,72] equal(multiply(X,identity),X).
% 97 [para:28.1.1,26.1.1.2.1.1.2,demod:91,48,10,49,82,87,14,72] equal(multiply(identity,X),X).
% 100 [para:91.1.1,28.1.1.2.2.2,demod:91,48,10] equal(double_divide(identity,X),inverse(X)).
% 103 [para:97.1.1,16.1.1] equal(double_divide(X,Y),inverse(multiply(Y,X))).
% 104 [para:100.1.1,8.1.1,demod:9,103,13,48,100] equal(double_divide(double_divide(X,Y),X),Y).
% 116 [para:104.1.1,9.1.2.1,demod:10] equal(multiply(X,double_divide(X,Y)),inverse(Y)).
% 120 [para:28.1.1,104.1.1.1,demod:100,97] equal(double_divide(inverse(X),Y),multiply(X,inverse(Y))).
% 123 [para:104.1.1,104.1.1.1] equal(double_divide(X,double_divide(Y,X)),Y).
% 124 [para:123.1.1,9.1.2.1,demod:10] equal(multiply(double_divide(X,Y),Y),inverse(X)).
% 131 [para:28.1.1,29.1.1.1.2.2.2,demod:97,14,120,13,100] equal(multiply(multiply(X,double_divide(Y,Z)),Z),double_divide(inverse(X),Y)).
% 140 [para:116.1.1,28.1.1.2.2.2,demod:97,70,100] equal(double_divide(inverse(X),multiply(Y,X)),inverse(Y)).
% 141 [para:124.1.1,28.1.1.2,demod:13,100,97] equal(double_divide(X,inverse(Y)),multiply(inverse(X),Y)).
% 150 [para:14.1.2,120.1.2.2,demod:97] equal(double_divide(inverse(X),inverse(Y)),multiply(X,Y)).
% 151 [para:13.1.1,120.1.2.2] equal(double_divide(inverse(X),double_divide(Y,Z)),multiply(X,multiply(Z,Y))).
% 155 [para:103.1.2,120.1.2.2] equal(double_divide(inverse(X),multiply(Y,Z)),multiply(X,double_divide(Z,Y))).
% 156 [para:140.1.1,8.1.1.2.1.1.2.2,demod:13,141,9,103,100,150,10] equal(double_divide(X,double_divide(Y,multiply(X,Z))),multiply(Z,Y)).
% 196 [para:156.1.1,29.1.1.1.2.2.2,demod:13,151,131,103,100,155] equal(multiply(X,multiply(Y,Z)),multiply(multiply(X,Y),Z)).
% 216 [para:196.1.2,12.1.1,cut:7] 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 7
% seconds given: 60
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 95
% derived clauses: 4146
% kept clauses: 203
% kept size sum: 2426
% kept mid-nuclei: 0
% kept new demods: 203
% forw unit-subs: 3942
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 4
% fast unit cutoff: 1
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 0.5
% process. runtime: 0.6
% 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/GRP489-1+eq_r.in")
%
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