TSTP Solution File: GRP579-1 by Gandalf---c-2.6
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% File : Gandalf---c-2.6
% Problem : GRP579-1 : 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 : art09.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/GRP579-1+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(6,40,1,12,0,1)
%
%
% START OF PROOF
% 8 [] equal(double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity))),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(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))).
% 17 [para:14.1.2,11.1.2.2] equal(identity,double_divide(inverse(X),multiply(identity,X))).
% 18 [para:14.1.2,14.1.2.1] equal(multiply(identity,inverse(X)),inverse(multiply(identity,X))).
% 22 [para:14.1.2,17.1.2.1] equal(identity,double_divide(multiply(identity,X),multiply(identity,inverse(X)))).
% 25 [para:10.1.2,8.1.1.1.2.1,demod:10,13] equal(double_divide(double_divide(X,double_divide(multiply(X,Y),inverse(Y))),inverse(identity)),identity).
% 27 [para:10.1.2,8.1.1.1.2.2,demod:10] equal(double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),inverse(Y))),inverse(identity)),Z).
% 28 [para:11.1.2,8.1.1.1.2.1,demod:13,10] equal(double_divide(double_divide(X,double_divide(identity,inverse(Y))),inverse(identity)),multiply(X,Y)).
% 29 [para:11.1.2,8.1.1.1.2.1.1,demod:10] equal(double_divide(double_divide(inverse(X),double_divide(double_divide(identity,Y),inverse(X))),inverse(identity)),Y).
% 31 [para:9.1.2,8.1.1.1.2.1.1,demod:10,9] equal(double_divide(double_divide(identity,double_divide(double_divide(multiply(X,Y),Z),multiply(X,Y))),inverse(identity)),Z).
% 34 [para:8.1.1,8.1.1.1.2,demod:10] equal(double_divide(double_divide(X,Y),inverse(identity)),double_divide(double_divide(double_divide(Z,double_divide(identity,X)),Y),inverse(Z))).
% 45 [para:25.1.1,8.1.1.1.2.1,demod:28,10] equal(multiply(double_divide(multiply(X,Y),inverse(Y)),X),inverse(identity)).
% 50 [para:15.1.1,45.1.1.1.1] equal(multiply(double_divide(inverse(identity),inverse(X)),inverse(X)),inverse(identity)).
% 58 [para:11.1.2,50.1.1.1,demod:14] equal(multiply(identity,multiply(identity,identity)),inverse(identity)).
% 62 [para:58.1.1,17.1.2.2,demod:18] equal(identity,double_divide(multiply(identity,inverse(identity)),inverse(identity))).
% 73 [para:11.1.2,28.1.1.1.2,demod:10] equal(double_divide(inverse(X),inverse(identity)),multiply(X,identity)).
% 79 [para:73.1.1,9.1.2.1,demod:10] equal(multiply(inverse(identity),inverse(X)),inverse(multiply(X,identity))).
% 80 [para:14.1.2,73.1.1.1] equal(double_divide(multiply(identity,X),inverse(identity)),multiply(inverse(X),identity)).
% 81 [para:13.1.1,73.1.1.1] equal(double_divide(multiply(X,Y),inverse(identity)),multiply(double_divide(Y,X),identity)).
% 91 [para:58.1.1,80.1.1.1,demod:18,73] equal(multiply(identity,identity),multiply(multiply(identity,inverse(identity)),identity)).
% 92 [para:80.1.1,62.1.2,demod:14] equal(identity,multiply(multiply(identity,identity),identity)).
% 102 [para:92.1.2,81.1.1.1,demod:11] equal(identity,multiply(double_divide(identity,multiply(identity,identity)),identity)).
% 104 [para:11.1.2,29.1.1.1.2,demod:73,10,13] equal(multiply(multiply(X,identity),identity),X).
% 115 [para:91.1.2,104.1.1.1,demod:92] equal(identity,multiply(identity,inverse(identity))).
% 117 [para:115.1.2,45.1.1.1.1,demod:102,14] equal(identity,inverse(identity)).
% 122 [para:117.1.2,28.1.1.1.2.2,demod:14,117,10] equal(multiply(identity,X),multiply(X,identity)).
% 126 [para:117.1.2,79.1.1.1] equal(multiply(identity,inverse(X)),inverse(multiply(X,identity))).
% 127 [para:117.1.2,81.1.1.2,demod:10] equal(inverse(multiply(X,Y)),multiply(double_divide(Y,X),identity)).
% 142 [para:22.1.2,31.1.1.1.2.1,demod:18,126,127,9,117] equal(multiply(identity,multiply(identity,inverse(X))),multiply(identity,inverse(X))).
% 169 [para:122.1.2,104.1.1] equal(multiply(identity,multiply(X,identity)),X).
% 174 [para:169.1.1,18.1.2.1,demod:142,126] equal(multiply(identity,inverse(X)),inverse(X)).
% 177 [para:122.1.2,169.1.1.2] equal(multiply(identity,multiply(identity,X)),X).
% 181 [para:14.1.2,174.1.1.2,demod:14,177] equal(X,multiply(identity,X)).
% 182 [para:174.1.1,22.1.2.1,demod:181,14] equal(identity,double_divide(inverse(X),X)).
% 184 [para:181.1.2,16.1.1] equal(double_divide(X,Y),inverse(multiply(Y,X))).
% 185 [para:181.1.2,31.1.1.1.2.1.1,demod:184,127,9,117,181] equal(double_divide(double_divide(X,Y),X),Y).
% 190 [para:11.1.2,185.1.1.1] equal(double_divide(identity,X),inverse(X)).
% 193 [para:185.1.1,8.1.1.1.2.1.1,demod:117,190,9] equal(multiply(double_divide(double_divide(X,Y),multiply(X,Z)),Z),Y).
% 199 [para:185.1.1,185.1.1.1] equal(double_divide(X,double_divide(Y,X)),Y).
% 201 [para:190.1.1,28.1.1.1.2,demod:9,117,181,14] equal(multiply(X,Y),multiply(Y,X)).
% 209 [para:201.1.1,12.1.1.1] -equal(multiply(multiply(b3,a3),c3),multiply(a3,multiply(b3,c3))).
% 237 [para:34.1.2,27.1.1.1.2,demod:9,117,190] equal(multiply(multiply(X,Y),inverse(Y)),X).
% 238 [para:182.1.2,34.1.2.1.1,demod:181,14,190,9,117] equal(multiply(X,Y),double_divide(inverse(X),inverse(Y))).
% 272 [para:201.1.1,209.1.2] -equal(multiply(multiply(b3,a3),c3),multiply(multiply(b3,c3),a3)).
% 277 [para:45.1.1,237.1.1.1,demod:174,117] equal(inverse(X),double_divide(multiply(X,Y),inverse(Y))).
% 288 [para:184.1.2,238.1.2.1] equal(multiply(multiply(X,Y),Z),double_divide(double_divide(Y,X),inverse(Z))).
% 326 [para:199.1.1,193.1.1.1.1] equal(multiply(double_divide(X,multiply(Y,Z)),Z),double_divide(X,Y)).
% 501 [para:326.1.1,277.1.2.1,demod:288,13,slowcut:272] 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: 168
% derived clauses: 12691
% kept clauses: 487
% kept size sum: 5751
% kept mid-nuclei: 0
% kept new demods: 455
% forw unit-subs: 12173
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 12
% fast unit cutoff: 0
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 0.19
% process. runtime: 0.17
% 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/GRP579-1+eq_r.in")
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