TSTP Solution File: GRP576-1 by Gandalf---c-2.6
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%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP576-1 : 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/GRP576-1+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(Y,double_divide(Z,X)),double_divide(Z,identity))),double_divide(identity,identity)),Y).
% 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))).
% 16 [para:9.1.2,9.1.2.1,demod:10] equal(multiply(identity,double_divide(X,Y)),inverse(multiply(Y,X))).
% 17 [para:10.1.2,8.1.1.1.2.1.2,demod:10] equal(double_divide(double_divide(identity,double_divide(double_divide(X,inverse(Y)),inverse(Y))),inverse(identity)),X).
% 18 [para:10.1.2,8.1.1.1.2.2,demod:10] equal(double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),inverse(Z))),inverse(identity)),Y).
% 19 [para:11.1.2,8.1.1.1.2.1.2,demod:10] equal(double_divide(double_divide(inverse(X),double_divide(inverse(Y),inverse(X))),inverse(identity)),Y).
% 20 [para:8.1.1,9.1.2.1,demod:10] equal(multiply(inverse(identity),double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),inverse(Z)))),inverse(Y)).
% 21 [para:9.1.2,8.1.1.1.2.1.2,demod:10,9] equal(double_divide(double_divide(identity,double_divide(double_divide(X,multiply(Y,Z)),multiply(Y,Z))),inverse(identity)),X).
% 22 [para:8.1.1,8.1.1.1.2.1,demod:10] equal(double_divide(double_divide(identity,double_divide(X,inverse(identity))),inverse(identity)),double_divide(Y,double_divide(double_divide(X,double_divide(Z,Y)),inverse(Z)))).
% 23 [para:14.1.2,11.1.2.2] equal(identity,double_divide(inverse(X),multiply(identity,X))).
% 24 [para:14.1.2,14.1.2.1] equal(multiply(identity,inverse(X)),inverse(multiply(identity,X))).
% 36 [para:11.1.2,17.1.1.1.2.1] equal(double_divide(double_divide(identity,double_divide(identity,inverse(X))),inverse(identity)),X).
% 39 [para:11.1.2,36.1.1.1.2,demod:10] equal(double_divide(inverse(identity),inverse(identity)),identity).
% 46 [para:39.1.1,17.1.1.1.2.1,demod:39,10,11] equal(identity,inverse(identity)).
% 48 [para:46.1.2,17.1.1.1.2.1.2,demod:9,14,46,10] equal(multiply(multiply(identity,X),identity),X).
% 50 [para:46.1.2,36.1.1.2,demod:9] equal(multiply(double_divide(identity,inverse(X)),identity),X).
% 57 [para:8.1.1,18.1.1.1.2.1,demod:9,10,46] equal(multiply(inverse(X),identity),double_divide(Y,double_divide(double_divide(X,double_divide(Z,Y)),inverse(Z)))).
% 68 [para:46.1.2,18.1.1.2,demod:10,57] equal(inverse(multiply(inverse(X),identity)),X).
% 72 [para:68.1.1,11.1.2.2] equal(identity,double_divide(multiply(inverse(X),identity),X)).
% 74 [para:13.1.1,68.1.1.1.1] equal(inverse(multiply(multiply(X,Y),identity)),double_divide(Y,X)).
% 77 [para:68.1.1,68.1.1.1.1] equal(inverse(multiply(X,identity)),multiply(inverse(X),identity)).
% 85 [para:11.1.2,19.1.1.1.2,demod:46,24,10,14] equal(multiply(identity,multiply(identity,X)),X).
% 90 [para:85.1.1,23.1.2.2,demod:24] equal(identity,double_divide(multiply(identity,inverse(X)),X)).
% 91 [para:16.1.1,85.1.1.2] equal(multiply(identity,inverse(multiply(X,Y))),double_divide(Y,X)).
% 93 [para:85.1.1,48.1.1.1] equal(multiply(X,identity),multiply(identity,X)).
% 97 [para:93.1.2,16.1.1] equal(multiply(double_divide(X,Y),identity),inverse(multiply(Y,X))).
% 98 [para:93.1.2,24.1.2.1,demod:77] equal(multiply(identity,inverse(X)),multiply(inverse(X),identity)).
% 103 [para:93.1.2,48.1.1.1] equal(multiply(multiply(X,identity),identity),X).
% 108 [para:50.1.1,103.1.1.1] equal(multiply(X,identity),double_divide(identity,inverse(X))).
% 110 [para:72.1.2,20.1.1.2.2.1,demod:74,13,16,108,46] equal(inverse(multiply(multiply(X,identity),Y)),double_divide(X,Y)).
% 119 [para:93.1.1,21.1.1.1.2.1.2,demod:110,97,9,46] equal(double_divide(X,double_divide(Y,multiply(identity,X))),Y).
% 133 [para:36.1.1,22.1.2.2,demod:10,46] equal(identity,double_divide(inverse(X),X)).
% 136 [para:72.1.2,22.1.2.2.1,demod:108,97,9,74,10,46,13] equal(inverse(multiply(X,Y)),double_divide(X,multiply(Y,identity))).
% 137 [para:72.1.2,22.1.2.2.1.2,demod:85,14,24,98,77,108,10,46] equal(multiply(identity,inverse(X)),double_divide(Y,double_divide(inverse(X),Y))).
% 142 [para:133.1.2,8.1.1.1.2.1,demod:13,14,46,136,108,10] equal(multiply(identity,multiply(X,Y)),multiply(X,Y)).
% 143 [para:133.1.2,8.1.1.1.2.1.2,demod:46,119,14,10] equal(multiply(identity,X),X).
% 145 [para:133.1.2,20.1.1.2.2.1,demod:13,91,136,108,46] equal(double_divide(X,Y),inverse(multiply(Y,X))).
% 146 [para:133.1.2,22.1.2.2.1.2,demod:137,143,14,145,108,10,46] equal(double_divide(identity,X),inverse(X)).
% 147 [para:143.1.1,48.1.1.1] equal(multiply(X,identity),X).
% 197 [para:90.1.2,8.1.1.1.2.1,demod:142,13,9,46,146,147,108,10,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: 58
% derived clauses: 1436
% kept clauses: 183
% kept size sum: 1962
% kept mid-nuclei: 0
% kept new demods: 180
% forw unit-subs: 1243
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 1
% fast unit cutoff: 0
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 0.2
% process. runtime: 0.2
% 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/GRP576-1+eq_r.in")
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