TSTP Solution File: GRP416-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP416-1 : 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 : art05.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/GRP416-1+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(3,40,1,6,0,1,28,50,9,31,0,9,86,50,88,89,0,88)
%
%
% START OF PROOF
% 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(inverse(b2),b2),a2),a2).
% 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).
% 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))))))))).
% 115 [para:90.1.1,103.1.1.1.1.1.2.2.1,demod:88] equal(inverse(multiply(inverse(multiply(inverse(multiply(X,Y)),multiply(X,Z))),inverse(multiply(inverse(Y),Y)))),inverse(multiply(inverse(multiply(inverse(multiply(U,Y)),multiply(U,Z))),inverse(multiply(inverse(Y),Y))))).
% 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))).
% 179 [para:164.1.1,91.1.1.2.1.2.1] equal(multiply(multiply(X,Y),inverse(multiply(inverse(multiply(inverse(multiply(Z,multiply(X,Y))),multiply(Z,inverse(inverse(U))))),inverse(multiply(inverse(multiply(V,Y)),multiply(V,Y)))))),U).
% 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))).
% 298 [para:164.1.1,164.1.1.2] equal(multiply(inverse(multiply(inverse(multiply(X,Y)),Z)),multiply(inverse(multiply(U,Y)),multiply(U,V))),multiply(inverse(multiply(W,Z)),multiply(W,multiply(X,V)))).
% 299 [para:164.1.1,164.1.2.1.1] equal(multiply(inverse(multiply(X,multiply(Y,Z))),multiply(X,U)),multiply(inverse(multiply(inverse(multiply(V,W)),multiply(V,Z))),multiply(inverse(multiply(Y,W)),U))).
% 300 [para:164.1.1,164.1.2.2] equal(multiply(inverse(multiply(X,Y)),multiply(X,multiply(Z,U))),multiply(inverse(multiply(inverse(multiply(Z,V)),Y)),multiply(inverse(multiply(W,V)),multiply(W,U)))).
% 569 [para:298.1.1,297.1.1] equal(multiply(inverse(multiply(X,multiply(Y,Z))),multiply(X,multiply(Y,U))),multiply(inverse(multiply(V,multiply(W,Z))),multiply(V,multiply(W,U)))).
% 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).
% 2121 [para:1778.1.1,164.1.1.1] equal(multiply(inverse(multiply(inverse(X),X)),multiply(inverse(Y),Z)),multiply(inverse(multiply(U,Y)),multiply(U,Z))).
% 2225 [para:1951.1.1,89.1.1.1] -equal(multiply(multiply(inverse(X),X),a2),a2).
% 2282 [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))).
% 2388 [para:1778.1.1,2225.1.1.1.1] -equal(multiply(multiply(inverse(multiply(inverse(X),X)),multiply(inverse(Y),Y)),a2),a2).
% 2454 [para:1778.1.1,2388.1.1.1.1.1.1] -equal(multiply(multiply(inverse(multiply(inverse(multiply(inverse(X),X)),multiply(inverse(Y),Y))),multiply(inverse(Z),Z)),a2),a2).
% 3166 [para:164.1.1,2454.1.1.1] -equal(multiply(multiply(inverse(multiply(X,multiply(inverse(Y),Y))),multiply(X,multiply(inverse(Z),Z))),a2),a2).
% 4316 [para:1778.1.1,1970.1.1.1.1.2.1.2] equal(inverse(inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(inverse(Z),Z))))))),X).
% 8578 [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).
% 8623 [para:1949.1.1,2282.1.2.1,demod:8578] equal(multiply(X,multiply(inverse(Y),Y)),multiply(Z,multiply(inverse(Z),X))).
% 8674 [para:8623.1.2,92.1.1.1.1.2.1.1.1.2] 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)).
% 9086 [para:8623.1.1,1951.1.1] equal(multiply(X,multiply(inverse(X),inverse(multiply(inverse(Y),Y)))),multiply(inverse(Z),Z)).
% 9087 [para:8623.1.1,1951.1.2] equal(multiply(inverse(X),X),multiply(Y,multiply(inverse(Y),inverse(multiply(inverse(Z),Z))))).
% 9133 [para:8623.1.1,3166.1.1.1.1.1] -equal(multiply(multiply(inverse(multiply(X,multiply(inverse(X),Y))),multiply(Y,multiply(inverse(Z),Z))),a2),a2).
% 9264 [para:8623.1.1,8623.1.1] equal(multiply(X,multiply(inverse(X),Y)),multiply(Z,multiply(inverse(Z),Y))).
% 9343 [para:9264.1.1,92.1.1.1.1.2.1.1.1.2] 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)).
% 9874 [para:9086.1.2,92.1.1.1.1.2.1.1.1.2,demod:9343] equal(multiply(inverse(inverse(X)),inverse(multiply(inverse(Y),Y))),X).
% 10194 [para:9086.1.2,9133.1.1.1.2] -equal(multiply(multiply(inverse(multiply(X,multiply(inverse(X),inverse(multiply(inverse(Y),Y))))),multiply(Z,multiply(inverse(Z),inverse(multiply(inverse(U),U))))),a2),a2).
% 10256 [para:9874.1.1,155.1.1.2.2.1.1.2.1] equal(multiply(inverse(multiply(X,Y)),multiply(X,inverse(inverse(multiply(Y,inverse(Z)))))),inverse(Z)).
% 10357 [para:9087.1.1,155.1.1.2.2.1.1.2.1.2.1,demod:10256] equal(inverse(multiply(inverse(X),inverse(multiply(Y,multiply(inverse(Y),inverse(multiply(inverse(Z),Z))))))),X).
% 10377 [para:9087.1.1,4316.1.1.1.1.2.1.2.1,demod:10357] equal(inverse(inverse(multiply(X,multiply(inverse(Y),Y)))),X).
% 10395 [para:10377.1.1,98.1.2.1.1.1.2.2,demod:8674] equal(multiply(inverse(X),Y),inverse(multiply(inverse(multiply(inverse(multiply(Z,X)),multiply(Z,Y))),inverse(multiply(inverse(X),X))))).
% 10406 [para:164.1.1,10377.1.1.1.1] equal(inverse(inverse(multiply(inverse(multiply(X,Y)),multiply(X,Z)))),inverse(multiply(inverse(Z),Y))).
% 10412 [para:168.1.2,10377.1.1.1.1,demod:10395] equal(inverse(inverse(multiply(X,multiply(Y,Z)))),inverse(multiply(inverse(Z),multiply(inverse(Y),inverse(X))))).
% 10518 [para:8623.1.1,10377.1.1.1.1] equal(inverse(inverse(multiply(X,multiply(inverse(X),Y)))),Y).
% 10625 [para:2121.1.1,10518.1.1.1.1,demod:10406] equal(inverse(multiply(inverse(X),inverse(multiply(inverse(Y),Y)))),X).
% 10626 [para:2121.1.1,10518.1.1.1.1.2] equal(inverse(inverse(multiply(multiply(inverse(X),X),multiply(inverse(multiply(Y,Z)),multiply(Y,U))))),multiply(inverse(Z),U)).
% 10696 [para:10377.1.1,10518.1.1.1.1.2.1,demod:10406] equal(inverse(multiply(inverse(X),multiply(inverse(Y),Y))),X).
% 10717 [para:10696.1.1,92.1.1.1.1.2.1.2,demod:10626,10696] equal(multiply(inverse(multiply(inverse(X),X)),Y),Y).
% 10751 [para:10696.1.1,115.1.1.1.1,demod:10395] equal(inverse(multiply(multiply(inverse(X),Y),inverse(multiply(inverse(Y),Y)))),multiply(inverse(Y),X)).
% 10784 [para:10696.1.1,98.1.2.1.1,demod:10751,10625] equal(inverse(inverse(multiply(X,multiply(inverse(multiply(Y,X)),Z)))),multiply(inverse(Y),inverse(inverse(Z)))).
% 10785 [para:10696.1.1,98.1.2.1.1.1.1,demod:10717,10784,10625] equal(inverse(inverse(X)),multiply(Y,multiply(inverse(Y),inverse(inverse(X))))).
% 10831 [para:10696.1.1,155.1.1.1,demod:10785,10625,10717] equal(inverse(inverse(multiply(multiply(inverse(X),X),Y))),Y).
% 10832 [para:10696.1.1,155.1.1.2.2.1.1.2.1.2,demod:10831,10696] equal(multiply(inverse(multiply(X,multiply(inverse(Y),Y))),multiply(X,Z)),Z).
% 10835 [para:10696.1.1,164.1.1.1,demod:10832] equal(multiply(X,multiply(inverse(X),Y)),Y).
% 10847 [para:10696.1.1,569.1.1.1,demod:10835] equal(multiply(inverse(X),Y),multiply(inverse(multiply(Z,multiply(U,X))),multiply(Z,multiply(U,Y)))).
% 10848 [para:569.1.1,10696.1.1.1,demod:10847] equal(inverse(multiply(inverse(X),Y)),multiply(inverse(multiply(Z,Y)),multiply(Z,X))).
% 10850 [para:10696.1.1,299.1.2.1,demod:10848] equal(inverse(multiply(inverse(X),multiply(Y,Z))),multiply(multiply(inverse(Z),U),multiply(inverse(multiply(Y,U)),X))).
% 10852 [para:10696.1.1,299.1.2.2.1,demod:10696,10848] equal(inverse(multiply(inverse(X),multiply(inverse(Y),Z))),multiply(inverse(Z),multiply(Y,X))).
% 10855 [para:299.1.2,10696.1.1.1.2,demod:10852,10847] equal(multiply(inverse(X),multiply(X,Y)),Y).
% 10860 [para:300.1.1,10696.1.1.1.2,demod:10855,10852,10850,10412,10848] equal(inverse(inverse(X)),X).
% 10870 [para:10696.1.1,167.1.1.1.2.1.1,demod:10848,10860] equal(inverse(multiply(multiply(X,Y),inverse(multiply(multiply(Z,multiply(X,Y)),multiply(inverse(Y),Y))))),Z).
% 10872 [para:10696.1.1,167.1.1.1.2.1.1.1.2.2,demod:10870,10860,10848] equal(inverse(X),multiply(inverse(X),multiply(inverse(Y),Y))).
% 10883 [para:10696.1.1,179.1.1.2.1.1.1.1,demod:10872,10848,10835,10860,slowcut:10194] 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: 184
% derived clauses: 107501
% kept clauses: 10869
% kept size sum: 469292
% kept mid-nuclei: 0
% kept new demods: 834
% forw unit-subs: 42030
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 49
% fast unit cutoff: 0
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 6.87
% process. runtime: 6.83
% 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/GRP416-1+eq_r.in")
%
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