TSTP Solution File: GRP417-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP417-1 : 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 :
%------------------------------------------------------------------------------
%----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/GRP417-1+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 9 1)
% (binary-posweight-lex-big-order 30 #f 9 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(3,40,1,6,0,1,28,50,10,31,0,10,86,50,88,89,0,88)
%
%
% START OF PROOF
% 87 [] equal(X,X).
% 88 [] equal(inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(Y,X)),multiply(Y,inverse(Z)))),inverse(multiply(inverse(X),X)))))),Z).
% 89 [] -equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))).
% 90 [para:88.1.1,88.1.1.1.2.1.1.1.2.2] equal(inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(Y,X)),multiply(Y,Z))),inverse(multiply(inverse(X),X)))))),multiply(U,inverse(multiply(inverse(multiply(inverse(multiply(V,U)),multiply(V,inverse(Z)))),inverse(multiply(inverse(U),U)))))).
% 91 [para:90.1.1,88.1.1] equal(multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(Y,X)),multiply(Y,inverse(inverse(Z))))),inverse(multiply(inverse(X),X))))),Z).
% 92 [para:90.1.2,88.1.1.1] equal(inverse(inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(Y,X)),multiply(Y,Z))),inverse(multiply(inverse(X),X))))))),Z).
% 95 [para:91.1.1,88.1.1.1.2.1.1.1.2] equal(inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(Y,X)),Z)),inverse(multiply(inverse(X),X)))))),multiply(inverse(multiply(inverse(multiply(U,Y)),multiply(U,inverse(inverse(Z))))),inverse(multiply(inverse(Y),Y)))).
% 98 [para:91.1.1,92.1.1.1.1.2.1.1.1.2] equal(inverse(inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(Y,X)),Z)),inverse(multiply(inverse(X),X))))))),inverse(multiply(inverse(multiply(inverse(multiply(U,Y)),multiply(U,inverse(inverse(Z))))),inverse(multiply(inverse(Y),Y))))).
% 99 [para:95.1.1,88.1.1] equal(multiply(inverse(multiply(inverse(multiply(X,Y)),multiply(X,inverse(inverse(multiply(Y,inverse(Z))))))),inverse(multiply(inverse(Y),Y))),Z).
% 101 [para:95.1.2,90.1.2.2.1,demod:88] equal(X,multiply(Y,inverse(inverse(multiply(Z,inverse(multiply(inverse(multiply(inverse(multiply(Y,Z)),X)),inverse(multiply(inverse(Z),Z))))))))).
% 103 [para:95.1.1,92.1.1.1] equal(inverse(multiply(inverse(multiply(inverse(multiply(X,Y)),multiply(X,inverse(inverse(multiply(Y,Z)))))),inverse(multiply(inverse(Y),Y)))),Z).
% 107 [para:90.1.1,99.1.1.1.1.2.2.1,demod:88] equal(multiply(inverse(multiply(inverse(multiply(X,Y)),multiply(X,Z))),inverse(multiply(inverse(Y),Y))),multiply(inverse(multiply(inverse(multiply(U,Y)),multiply(U,Z))),inverse(multiply(inverse(Y),Y)))).
% 109 [para:88.1.1,101.1.2.2.1.1.2.1.1] equal(inverse(multiply(inverse(multiply(inverse(multiply(X,inverse(multiply(Y,Z)))),multiply(X,inverse(U)))),inverse(multiply(inverse(inverse(multiply(Y,Z))),inverse(multiply(Y,Z)))))),multiply(Y,inverse(inverse(multiply(Z,inverse(multiply(U,inverse(multiply(inverse(Z),Z))))))))).
% 116 [para:103.1.1,99.1.1.1.1.1] equal(multiply(inverse(multiply(X,multiply(inverse(multiply(inverse(multiply(Y,Z)),multiply(Y,inverse(inverse(multiply(Z,X)))))),inverse(inverse(multiply(inverse(multiply(inverse(Z),Z)),inverse(U))))))),inverse(multiply(inverse(inverse(multiply(inverse(Z),Z))),inverse(multiply(inverse(Z),Z))))),U).
% 155 [para:109.1.1,91.1.1.2] equal(multiply(inverse(multiply(X,Y)),multiply(X,inverse(inverse(multiply(Y,inverse(multiply(inverse(Z),inverse(multiply(inverse(Y),Y))))))))),Z).
% 164 [para:90.1.1,155.1.1.2.2.1,demod:88] equal(multiply(inverse(multiply(X,Y)),multiply(X,Z)),multiply(inverse(multiply(U,Y)),multiply(U,Z))).
% 167 [para:164.1.1,88.1.1.1.2.1.2.1] equal(inverse(multiply(multiply(X,Y),inverse(multiply(inverse(multiply(inverse(multiply(Z,multiply(X,Y))),multiply(Z,inverse(U)))),inverse(multiply(inverse(multiply(V,Y)),multiply(V,Y))))))),U).
% 168 [para:88.1.1,164.1.1.1] equal(multiply(X,multiply(Y,Z)),multiply(inverse(multiply(U,inverse(multiply(inverse(multiply(inverse(multiply(V,Y)),multiply(V,inverse(X)))),inverse(multiply(inverse(Y),Y)))))),multiply(U,Z))).
% 192 [para:164.1.1,99.1.1.2.1] equal(multiply(inverse(multiply(inverse(multiply(X,multiply(Y,Z))),multiply(X,inverse(inverse(multiply(multiply(Y,Z),inverse(U))))))),inverse(multiply(inverse(multiply(V,Z)),multiply(V,Z)))),U).
% 297 [para:164.1.1,164.1.1.1.1] equal(multiply(inverse(multiply(inverse(multiply(X,Y)),multiply(X,Z))),multiply(inverse(multiply(U,Y)),V)),multiply(inverse(multiply(W,multiply(U,Z))),multiply(W,V))).
% 1382 [para:155.1.1,192.1.1.1.1] equal(multiply(inverse(X),inverse(multiply(inverse(multiply(Y,Z)),multiply(Y,Z)))),multiply(inverse(X),inverse(multiply(inverse(multiply(U,Z)),multiply(U,Z))))).
% 1427 [para:1382.1.1,92.1.1.1.1.2.1.1.1.2,demod:88] equal(inverse(multiply(inverse(multiply(X,Y)),multiply(X,Y))),inverse(multiply(inverse(multiply(Z,Y)),multiply(Z,Y)))).
% 1569 [para:99.1.1,1427.1.1.1.1.1,demod:99] equal(inverse(multiply(inverse(X),X)),inverse(multiply(inverse(multiply(Y,inverse(multiply(inverse(Z),Z)))),multiply(Y,inverse(multiply(inverse(Z),Z)))))).
% 1778 [para:99.1.1,1569.1.2.1.1.1,demod:99] equal(inverse(multiply(inverse(X),X)),inverse(multiply(inverse(Y),Y))).
% 1949 [para:1778.1.1,88.1.1.1.2.1.1] equal(inverse(multiply(inverse(X),inverse(multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(inverse(inverse(X)),inverse(X))))))),X).
% 1951 [para:1778.1.1,88.1.1.1.2.1.1.1.2.2,demod:88] equal(multiply(inverse(X),X),multiply(inverse(Y),Y)).
% 1970 [para:1778.1.1,92.1.1.1.1.2.1.1] equal(inverse(inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(inverse(X),X))))))),X).
% 2281 [para:1951.1.1,164.1.1.2] equal(multiply(inverse(multiply(inverse(X),Y)),multiply(inverse(Z),Z)),multiply(inverse(multiply(U,Y)),multiply(U,X))).
% 2311 [para:1951.1.1,168.1.2.2] equal(multiply(X,multiply(Y,Z)),multiply(inverse(multiply(inverse(Z),inverse(multiply(inverse(multiply(inverse(multiply(U,Y)),multiply(U,inverse(X)))),inverse(multiply(inverse(Y),Y)))))),multiply(inverse(V),V))).
% 2367 [para:1778.1.1,1951.1.1.1] equal(multiply(inverse(multiply(inverse(X),X)),multiply(inverse(Y),Y)),multiply(inverse(Z),Z)).
% 2676 [para:2367.1.1,168.1.2.2,demod:2311] equal(multiply(X,multiply(Y,multiply(inverse(Z),Z))),multiply(X,multiply(Y,multiply(inverse(U),U)))).
% 3957 [para:2676.1.1,1951.1.1] equal(multiply(inverse(multiply(X,multiply(inverse(Y),Y))),multiply(X,multiply(inverse(Z),Z))),multiply(inverse(U),U)).
% 9373 [para:1778.1.1,1949.1.1.1.2.1.2] equal(inverse(multiply(inverse(X),inverse(multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(inverse(Z),Z)))))),X).
% 9425 [para:1949.1.1,2281.1.2.1,demod:9373] equal(multiply(X,multiply(inverse(Y),Y)),multiply(Z,multiply(inverse(Z),X))).
% 9479 [para:9425.1.2,92.1.1.1.1.2.1.1.1.2] equal(inverse(inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(Y,X)),multiply(Z,multiply(inverse(U),U)))),inverse(multiply(inverse(X),X))))))),multiply(inverse(Y),Z)).
% 9938 [para:9425.1.1,1951.1.1] equal(multiply(X,multiply(inverse(X),inverse(multiply(inverse(Y),Y)))),multiply(inverse(Z),Z)).
% 9939 [para:9425.1.1,1951.1.2] equal(multiply(inverse(X),X),multiply(Y,multiply(inverse(Y),inverse(multiply(inverse(Z),Z))))).
% 10175 [para:9425.1.1,9425.1.1] equal(multiply(X,multiply(inverse(X),Y)),multiply(Z,multiply(inverse(Z),Y))).
% 10266 [para:10175.1.1,92.1.1.1.1.2.1.1.1.2] equal(inverse(inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(Y,X)),multiply(Z,multiply(inverse(Z),U)))),inverse(multiply(inverse(X),X))))))),multiply(inverse(Y),U)).
% 10593 [para:9938.1.2,92.1.1.1.1.2.1.1.1.2,demod:10266] equal(multiply(inverse(inverse(X)),inverse(multiply(inverse(Y),Y))),X).
% 11091 [para:10593.1.1,155.1.1.2.2.1.1.2.1] equal(multiply(inverse(multiply(X,Y)),multiply(X,inverse(inverse(multiply(Y,inverse(Z)))))),inverse(Z)).
% 11223 [para:9939.1.1,155.1.1.2.2.1.1.2.1.2.1,demod:11091] equal(inverse(multiply(inverse(X),inverse(multiply(Y,multiply(inverse(Y),inverse(multiply(inverse(Z),Z))))))),X).
% 11252 [para:9939.1.1,1970.1.1.1.1.2.1.2.1,demod:11223] equal(inverse(inverse(multiply(X,multiply(inverse(Y),Y)))),X).
% 11267 [para:9939.1.1,1949.1.1.1.2.1.2.1,demod:11223] equal(inverse(multiply(inverse(X),multiply(inverse(Y),Y))),X).
% 11296 [para:164.1.1,11252.1.1.1.1] equal(inverse(inverse(multiply(inverse(multiply(X,Y)),multiply(X,Z)))),inverse(multiply(inverse(Z),Y))).
% 11395 [para:3957.1.2,11252.1.1.1.1,demod:11267,11296] equal(multiply(inverse(X),X),inverse(multiply(inverse(Y),Y))).
% 11464 [para:11267.1.1,99.1.1.2,demod:11091] equal(multiply(inverse(inverse(X)),multiply(inverse(Y),Y)),X).
% 11474 [para:11267.1.1,107.1.1.1] equal(multiply(multiply(inverse(X),Y),inverse(multiply(inverse(Y),Y))),multiply(inverse(multiply(inverse(multiply(Z,Y)),multiply(Z,X))),inverse(multiply(inverse(Y),Y)))).
% 11514 [para:11267.1.1,98.1.2.1.1.1.2.2.1,demod:11474,9479] equal(multiply(inverse(X),inverse(Y)),inverse(multiply(multiply(inverse(inverse(Y)),X),inverse(multiply(inverse(X),X))))).
% 11566 [para:11267.1.1,109.1.1.1.1,demod:11514] equal(multiply(inverse(inverse(multiply(X,Y))),inverse(Z)),multiply(X,inverse(inverse(multiply(Y,inverse(multiply(Z,inverse(multiply(inverse(Y),Y))))))))).
% 11568 [para:11267.1.1,109.1.1.1.1.1.2.2,demod:11267,11566,11474] equal(inverse(multiply(multiply(inverse(X),inverse(multiply(Y,Z))),inverse(multiply(inverse(inverse(multiply(Y,Z))),inverse(multiply(Y,Z)))))),multiply(inverse(inverse(multiply(Y,Z))),X)).
% 11573 [para:164.1.1,11267.1.1.1] equal(inverse(multiply(inverse(multiply(X,Y)),multiply(X,Z))),multiply(inverse(Z),Y)).
% 11608 [para:168.1.2,11267.1.1.1,demod:11514,11573] equal(inverse(multiply(X,multiply(Y,Z))),multiply(inverse(Z),multiply(inverse(Y),inverse(X)))).
% 11785 [para:9425.1.1,11267.1.1.1] equal(inverse(multiply(X,multiply(inverse(X),inverse(Y)))),Y).
% 11802 [para:11395.1.1,88.1.1.1.2.1.1.1,demod:10593] equal(inverse(multiply(inverse(X),inverse(multiply(inverse(Y),Y)))),X).
% 11870 [para:11395.1.1,103.1.1.1.1.1.1.1,demod:11802,11573,11608] equal(multiply(inverse(inverse(multiply(inverse(X),X))),Y),Y).
% 11877 [para:11395.1.1,107.1.1.1.1,demod:11573,11870] equal(inverse(multiply(inverse(X),X)),multiply(multiply(inverse(X),X),inverse(multiply(inverse(X),X)))).
% 11882 [para:11395.1.2,107.1.2.1,demod:11877,11573] equal(inverse(multiply(inverse(X),X)),multiply(multiply(inverse(Y),Y),inverse(multiply(inverse(X),X)))).
% 11973 [para:11395.1.2,109.1.1.1.1.1.1.1.2,demod:11566,11870,11464,11573] equal(inverse(multiply(X,inverse(inverse(multiply(inverse(Y),Y))))),inverse(X)).
% 11975 [para:11395.1.2,109.1.1.1.1.1.2.2,demod:11973,11882,11464,11568,11573] equal(multiply(X,Y),multiply(X,inverse(inverse(Y)))).
% 11978 [para:11395.1.2,109.1.1.1.2.1.2,demod:11566,11870,10593,11573] equal(inverse(multiply(X,inverse(multiply(inverse(Y),Y)))),inverse(X)).
% 11983 [para:11395.1.1,155.1.1.1.1,demod:11870,11975,11802] equal(multiply(inverse(X),multiply(X,Y)),Y).
% 11986 [para:11395.1.1,164.1.1.1.1,demod:11870] equal(multiply(inverse(X),Y),multiply(inverse(multiply(Z,X)),multiply(Z,Y))).
% 11987 [para:11395.1.1,164.1.1.2,demod:11986] equal(multiply(inverse(multiply(inverse(X),Y)),inverse(multiply(inverse(Z),Z))),multiply(inverse(Y),X)).
% 11988 [para:11395.1.2,164.1.2.1,demod:11986] equal(multiply(inverse(X),Y),multiply(multiply(inverse(Z),Z),multiply(inverse(X),Y))).
% 11989 [para:11395.1.2,297.1.1.1.1.1,demod:11986,11988] equal(multiply(inverse(multiply(inverse(X),Y)),multiply(inverse(multiply(Z,X)),U)),multiply(inverse(multiply(Z,Y)),U)).
% 11990 [para:11395.1.1,297.1.2.1.1.2,demod:11983,11978,11989,11986] equal(multiply(inverse(multiply(inverse(X),X)),Y),Y).
% 11994 [para:11395.1.1,116.1.1.1.1.2.1.1.1.1,demod:11785,11990,11870,11983,11975] equal(multiply(X,multiply(inverse(Y),Y)),X).
% 12000 [para:11395.1.1,167.1.1.1.1,demod:11990,10593,11986,11983,11994] equal(inverse(inverse(X)),X).
% 12007 [para:11395.1.2,168.1.2.1.1.2.1.1.1.1,demod:11986,12000,11987,11988] equal(multiply(X,multiply(Y,Z)),multiply(multiply(X,Y),Z)).
% 12058 [para:12007.1.2,89.1.1,cut:87] 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 11
% seconds given: 60
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 214
% derived clauses: 166942
% kept clauses: 12045
% kept size sum: 525887
% kept mid-nuclei: 0
% kept new demods: 983
% forw unit-subs: 98394
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 24
% fast unit cutoff: 1
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 8.35
% process. runtime: 8.35
% 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/GRP417-1+eq_r.in")
%
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