TSTP Solution File: GRP615-1 by Gandalf---c-2.6
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% File : Gandalf---c-2.6
% Problem : GRP615-1 : 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 : art10.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
%
% Gandalf c-2.6 r1 starting to prove: /home/graph/tptp/TSTP/PreparedTPTP/otter:hypothesis:set(auto),clear(print_given)---add_equality:r/GRP/GRP615-1+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(4,40,0,8,0,0)
%
%
% START OF PROOF
% 6 [] equal(double_divide(inverse(double_divide(inverse(double_divide(X,inverse(Y))),Z)),double_divide(X,Z)),Y).
% 7 [] equal(multiply(X,Y),inverse(double_divide(Y,X))).
% 8 [] -equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))).
% 9 [para:6.1.1,7.1.2.1,demod:7] equal(multiply(double_divide(X,Y),multiply(Y,multiply(inverse(Z),X))),inverse(Z)).
% 10 [para:7.1.2,6.1.1.1,demod:7] equal(double_divide(multiply(X,multiply(inverse(Y),Z)),double_divide(Z,X)),Y).
% 11 [para:7.1.2,6.1.1.1.1.1.1.2,demod:7] equal(double_divide(multiply(X,multiply(multiply(Y,Z),U)),double_divide(U,X)),double_divide(Z,Y)).
% 12 [para:6.1.1,6.1.1.1.1,demod:7] equal(double_divide(inverse(X),double_divide(multiply(inverse(X),Y),double_divide(Y,inverse(Z)))),Z).
% 13 [para:6.1.1,6.1.1.2,demod:7] equal(double_divide(multiply(double_divide(X,Y),multiply(inverse(Z),multiply(Y,multiply(inverse(U),X)))),U),Z).
% 15 [para:6.1.1,9.1.1.1,demod:7] equal(multiply(X,multiply(double_divide(Y,Z),multiply(inverse(U),multiply(Z,multiply(inverse(X),Y))))),inverse(U)).
% 21 [para:12.1.1,9.1.1.1] equal(multiply(X,multiply(double_divide(multiply(inverse(Y),Z),double_divide(Z,inverse(X))),multiply(inverse(U),inverse(Y)))),inverse(U)).
% 46 [para:15.1.1,13.1.1.1.2,demod:10] equal(double_divide(multiply(inverse(X),inverse(Y)),Y),X).
% 47 [para:15.1.1,15.1.1.2.2,demod:10] equal(multiply(X,multiply(inverse(Y),inverse(X))),inverse(Y)).
% 49 [para:7.1.2,46.1.1.1.2] equal(double_divide(multiply(inverse(X),multiply(Y,Z)),double_divide(Z,Y)),X).
% 63 [para:47.1.1,10.1.1.1] equal(double_divide(inverse(X),double_divide(inverse(Y),Y)),X).
% 79 [para:7.1.2,63.1.1.1] equal(double_divide(multiply(X,Y),double_divide(inverse(Z),Z)),double_divide(Y,X)).
% 104 [para:47.1.1,49.1.1.1] equal(double_divide(inverse(X),double_divide(inverse(inverse(Y)),inverse(X))),Y).
% 130 [para:79.1.1,46.1.1,demod:7] equal(double_divide(multiply(X,inverse(X)),inverse(Y)),Y).
% 136 [para:130.1.1,6.1.1.2,demod:7,130] equal(double_divide(multiply(inverse(X),inverse(Y)),X),Y).
% 160 [para:136.1.1,130.1.1] equal(inverse(inverse(X)),X).
% 161 [para:21.1.1,10.1.1.1.2,demod:160] equal(double_divide(multiply(X,inverse(Y)),double_divide(multiply(double_divide(multiply(inverse(Z),U),double_divide(U,V)),multiply(inverse(Y),inverse(Z))),X)),V).
% 163 [para:21.1.1,11.1.1.1.2,demod:161] equal(inverse(multiply(X,Y)),double_divide(Y,X)).
% 176 [para:160.1.1,9.1.1.2.2.1,demod:160] equal(multiply(double_divide(X,Y),multiply(Y,multiply(Z,X))),Z).
% 193 [para:160.1.1,47.1.1.2.1,demod:160] equal(multiply(X,multiply(Y,inverse(X))),Y).
% 204 [para:160.1.1,104.1.1.1,demod:160] equal(double_divide(X,double_divide(Y,X)),Y).
% 209 [para:160.1.1,136.1.1.1.1] equal(double_divide(multiply(X,inverse(Y)),inverse(X)),Y).
% 217 [para:6.1.1,204.1.1.2,demod:7] equal(double_divide(double_divide(X,Y),Z),multiply(Y,multiply(inverse(Z),X))).
% 219 [para:204.1.1,9.1.1.1,demod:204,217] equal(multiply(X,double_divide(X,Y)),inverse(Y)).
% 227 [para:46.1.1,204.1.1.2] equal(double_divide(X,Y),multiply(inverse(Y),inverse(X))).
% 235 [para:136.1.1,204.1.1.2,demod:227] equal(double_divide(X,Y),double_divide(Y,X)).
% 255 [para:235.1.1,7.1.2.1,demod:7] equal(multiply(X,Y),multiply(Y,X)).
% 300 [para:255.1.1,8.1.1.1] -equal(multiply(multiply(b3,a3),c3),multiply(a3,multiply(b3,c3))).
% 374 [para:193.1.1,10.1.1.1.2,demod:160] equal(double_divide(multiply(X,Y),double_divide(multiply(Y,Z),X)),Z).
% 530 [para:255.1.1,300.1.2] -equal(multiply(multiply(b3,a3),c3),multiply(multiply(b3,c3),a3)).
% 567 [para:160.1.1,209.1.1.1.2] equal(double_divide(multiply(X,Y),inverse(X)),inverse(Y)).
% 772 [para:176.1.1,567.1.1.1,demod:163,7] equal(double_divide(X,multiply(Y,Z)),double_divide(multiply(X,Z),Y)).
% 874 [para:374.1.1,219.1.1.2,demod:7,772,slowcut:530] 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: 100
% derived clauses: 7050
% kept clauses: 864
% kept size sum: 13417
% kept mid-nuclei: 0
% kept new demods: 814
% forw unit-subs: 5971
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 16
% fast unit cutoff: 0
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 0.13
% process. runtime: 0.14
% 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/GRP615-1+eq_r.in")
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