TSTP Solution File: GRP055-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP055-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm : add_equality:r
% Format : otter:hypothesis:set(auto),clear(print_given)
% Command : gandalf-wrapper -time %d %s
% Computer : art08.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/GRP055-1+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: peq
%
% strategies selected:
% (hyper 30 #f 11 5)
% (binary-unit 12 #f)
% (binary-unit-uniteq 12 #f)
% (binary-posweight-kb-big-order 60 #f 11 5)
% (binary-posweight-lex-big-order 30 #f 11 5)
% (binary 30 #t)
% (binary-posweight-kb-big-order 156 #f)
% (binary-posweight-lex-big-order 102 #f)
% (binary-posweight-firstpref-order 60 #f)
% (binary-order 30 #f)
% (binary-posweight-kb-small-order 48 #f)
% (binary-posweight-lex-small-order 30 #f)
%
%
% SOS clause
% -equal(multiply(inverse(a1),a1),multiply(inverse(b1),b1)) | -equal(multiply(multiply(inverse(b2),b2),a2),a2) | -equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))).
% was split for some strategies as:
% -equal(multiply(inverse(a1),a1),multiply(inverse(b1),b1)).
% -equal(multiply(multiply(inverse(b2),b2),a2),a2).
% -equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))).
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(3,40,0,6,0,0,11097,4,752)
%
%
% START OF PROOF
% 4 [] equal(X,X).
% 5 [] equal(inverse(multiply(inverse(multiply(X,inverse(multiply(inverse(Y),multiply(inverse(Z),inverse(multiply(inverse(Z),Z))))))),multiply(X,Z))),Y).
% 6 [] -equal(multiply(multiply(inverse(b2),b2),a2),a2) | -equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) | -equal(multiply(inverse(a1),a1),multiply(inverse(b1),b1)).
% 7 [para:5.1.1,5.1.1.1.1.1.2] equal(inverse(multiply(inverse(multiply(X,Y)),multiply(X,Z))),multiply(inverse(Z),inverse(multiply(inverse(Y),multiply(inverse(inverse(multiply(inverse(Z),Z))),inverse(multiply(inverse(inverse(multiply(inverse(Z),Z))),inverse(multiply(inverse(Z),Z))))))))).
% 8 [para:5.1.1,5.1.1.1.1.1.2.1.1] equal(inverse(multiply(inverse(multiply(X,inverse(multiply(Y,multiply(inverse(Z),inverse(multiply(inverse(Z),Z))))))),multiply(X,Z))),multiply(inverse(multiply(U,inverse(multiply(inverse(Y),multiply(inverse(V),inverse(multiply(inverse(V),V))))))),multiply(U,V))).
% 11 [para:7.1.2,5.1.1.1.1.1] equal(inverse(multiply(inverse(inverse(multiply(inverse(multiply(X,Y)),multiply(X,Z)))),multiply(inverse(Z),inverse(multiply(inverse(Z),Z))))),Y).
% 12 [para:7.1.2,7.1.2] equal(inverse(multiply(inverse(multiply(X,Y)),multiply(X,Z))),inverse(multiply(inverse(multiply(U,Y)),multiply(U,Z)))).
% 14 [para:12.1.1,5.1.1.1.1.1.2.1.1,demod:5] equal(multiply(inverse(multiply(X,Y)),multiply(X,Z)),multiply(inverse(multiply(U,Y)),multiply(U,Z))).
% 21 [para:8.1.1,5.1.1] equal(multiply(inverse(multiply(X,inverse(multiply(inverse(inverse(Y)),multiply(inverse(Z),inverse(multiply(inverse(Z),Z))))))),multiply(X,Z)),Y).
% 31 [para:5.1.1,14.1.1.1] equal(multiply(X,multiply(inverse(multiply(Y,inverse(multiply(inverse(X),multiply(inverse(Z),inverse(multiply(inverse(Z),Z))))))),U)),multiply(inverse(multiply(V,multiply(Y,Z))),multiply(V,U))).
% 35 [para:12.1.1,14.1.1.1] 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))).
% 40 [para:14.1.1,14.1.1.2] 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)))).
% 44 [para:7.1.2,11.1.1.1.1.1.1.1.1] equal(inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(X,Y)),multiply(X,Z)))),multiply(inverse(Z),U)))),multiply(inverse(U),inverse(multiply(inverse(U),U))))),inverse(multiply(inverse(Y),multiply(inverse(inverse(multiply(inverse(Z),Z))),inverse(multiply(inverse(inverse(multiply(inverse(Z),Z))),inverse(multiply(inverse(Z),Z)))))))).
% 54 [para:7.1.2,21.1.1.1.1] equal(multiply(inverse(inverse(multiply(inverse(multiply(X,inverse(Y))),multiply(X,Z)))),multiply(inverse(Z),inverse(multiply(inverse(Z),Z)))),Y).
% 196 [para:40.1.1,35.1.1] 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)))).
% 835 [para:21.1.1,31.1.1.2] equal(multiply(inverse(X),X),multiply(inverse(multiply(Y,multiply(Z,U))),multiply(Y,multiply(Z,U)))).
% 912 [para:21.1.1,835.1.2.1.1,demod:21] equal(multiply(inverse(X),X),multiply(inverse(Y),Y)).
% 1156 [para:912.1.1,5.1.1.1.1.1.2.1.2.2.1] equal(inverse(multiply(inverse(multiply(X,inverse(multiply(inverse(Y),multiply(inverse(Z),inverse(multiply(inverse(U),U))))))),multiply(X,Z))),Y).
% 1167 [para:912.1.1,12.1.1.1.1.1] equal(inverse(multiply(inverse(multiply(inverse(X),X)),multiply(inverse(Y),Z))),inverse(multiply(inverse(multiply(U,Y)),multiply(U,Z)))).
% 1168 [para:912.1.1,12.1.1.1.2] equal(inverse(multiply(inverse(multiply(inverse(X),Y)),multiply(inverse(Z),Z))),inverse(multiply(inverse(multiply(U,Y)),multiply(U,X)))).
% 1170 [para:912.1.1,12.1.2.1.1.1] equal(inverse(multiply(inverse(multiply(X,Y)),multiply(X,Z))),inverse(multiply(inverse(multiply(inverse(U),U)),multiply(inverse(Y),Z)))).
% 1171 [para:912.1.1,12.1.2.1.2] equal(inverse(multiply(inverse(multiply(X,Y)),multiply(X,Z))),inverse(multiply(inverse(multiply(inverse(Z),Y)),multiply(inverse(U),U)))).
% 1180 [para:912.1.1,14.1.1.1.1] equal(multiply(inverse(multiply(inverse(X),X)),multiply(inverse(Y),Z)),multiply(inverse(multiply(U,Y)),multiply(U,Z))).
% 1181 [para:912.1.1,14.1.1.2] equal(multiply(inverse(multiply(inverse(X),Y)),multiply(inverse(Z),Z)),multiply(inverse(multiply(U,Y)),multiply(U,X))).
% 1184 [para:912.1.1,11.1.1.1.1.1.1] equal(inverse(multiply(inverse(inverse(multiply(inverse(X),X))),multiply(inverse(Y),inverse(multiply(inverse(Y),Y))))),Y).
% 1187 [para:912.1.1,11.1.1.1.2.2.1] equal(inverse(multiply(inverse(inverse(multiply(inverse(multiply(X,Y)),multiply(X,Z)))),multiply(inverse(Z),inverse(multiply(inverse(U),U))))),Y).
% 1192 [para:912.1.1,54.1.1.1.1.1] equal(multiply(inverse(inverse(multiply(inverse(X),X))),multiply(inverse(inverse(Y)),inverse(multiply(inverse(inverse(Y)),inverse(Y))))),Y).
% 1891 [para:912.1.1,1184.1.1.1.2.2.1] equal(inverse(multiply(inverse(inverse(multiply(inverse(X),X))),multiply(inverse(Y),inverse(multiply(inverse(Z),Z))))),Y).
% 1961 [para:912.1.1,1891.1.1.1.2] equal(inverse(multiply(inverse(inverse(multiply(inverse(X),X))),multiply(inverse(Y),Y))),inverse(multiply(inverse(Z),Z))).
% 2631 [para:912.1.1,1180.1.2.2] equal(multiply(inverse(multiply(inverse(X),X)),multiply(inverse(Y),Z)),multiply(inverse(multiply(inverse(Z),Y)),multiply(inverse(U),U))).
% 3320 [para:912.1.1,1192.1.1.2.2.1] equal(multiply(inverse(inverse(multiply(inverse(X),X))),multiply(inverse(inverse(Y)),inverse(multiply(inverse(Z),Z)))),Y).
% 7259 [para:912.1.1,1187.1.1.1.1.1.1.1.1] equal(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X),X)),multiply(inverse(Y),Z)))),multiply(inverse(Z),inverse(multiply(inverse(U),U))))),Y).
% 7293 [para:1961.1.1,1187.1.1.1.1.1.1.1,demod:7259] equal(inverse(multiply(inverse(X),X)),multiply(inverse(Y),Y)).
% 7827 [para:7293.1.2,1187.1.1.1.1.1.1.1.1] equal(inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(X),X))),multiply(inverse(Y),Z)))),multiply(inverse(Z),inverse(multiply(inverse(U),U))))),Y).
% 9924 [para:912.1.1,44.1.1.1.1.1.1.1.1.1,demod:7827] equal(X,inverse(multiply(inverse(X),multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(X),X)))))))).
% 9947 [para:1891.1.1,44.1.1.1.1.1,demod:9924] equal(inverse(multiply(inverse(X),multiply(inverse(inverse(multiply(inverse(Y),Y))),inverse(multiply(inverse(inverse(multiply(inverse(Y),Y))),inverse(multiply(inverse(Y),Y))))))),X).
% 9957 [para:1180.1.1,44.1.1.1.1.1.1.1.1.1,demod:9947] equal(inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(X,Y)),multiply(X,Z)))),multiply(inverse(Z),U)))),multiply(inverse(U),inverse(multiply(inverse(U),U))))),Y).
% 9969 [para:44.1.2,1181.1.2.1,demod:9957,9947] equal(multiply(X,multiply(inverse(Y),Y)),multiply(Z,multiply(inverse(Z),X))).
% 10058 [para:44.1.2,1156.1.1.1.1.1.2,demod:9957] equal(inverse(multiply(inverse(multiply(X,Y)),multiply(X,inverse(multiply(inverse(Z),Z))))),Y).
% 10646 [para:9969.1.1,1156.1.1.1.1.1.2.1,demod:10058] equal(inverse(multiply(X,multiply(inverse(X),inverse(Y)))),Y).
% 10716 [para:912.1.1,10646.1.1.1.2] equal(inverse(multiply(inverse(X),multiply(inverse(Y),Y))),X).
% 10759 [para:1181.1.1,10646.1.1.1] equal(inverse(multiply(inverse(multiply(X,Y)),multiply(X,Z))),multiply(inverse(Z),Y)).
% 10824 [para:2631.1.1,10646.1.1.1,demod:10716] equal(multiply(inverse(inverse(X)),inverse(multiply(inverse(Y),Y))),X).
% 10972 [para:10716.1.1,3320.1.1.1.1,demod:10824] equal(multiply(inverse(multiply(inverse(X),X)),Y),Y).
% 10979 [para:10716.1.1,1167.1.1.1.2.1,demod:10759,10972] equal(inverse(multiply(X,Y)),multiply(inverse(Y),multiply(inverse(X),multiply(inverse(Z),Z)))).
% 10980 [para:10716.1.1,1167.1.2,demod:10972] equal(inverse(multiply(inverse(X),Y)),multiply(inverse(Y),X)).
% 10987 [?] ?
% 10988 [para:1168.1.2,10716.1.1.1.1,demod:10987,10980] equal(multiply(inverse(X),Y),multiply(inverse(multiply(Z,X)),multiply(Z,Y))).
% 10992 [para:1170.1.2,10716.1.1.1.1,demod:10987,10980,10988] equal(multiply(inverse(X),Y),multiply(multiply(inverse(Z),Z),multiply(inverse(X),Y))).
% 10994 [para:10716.1.1,1171.1.2.1.1.1.1,demod:10716,10979,10988] equal(inverse(inverse(multiply(X,Y))),multiply(X,Y)).
% 11009 [para:10716.1.1,1156.1.1,demod:10994,10979,10980] equal(multiply(inverse(X),multiply(X,Y)),Y).
% 11025 [para:11009.1.1,12.1.1.1.1.1,demod:10988,10980] equal(multiply(multiply(inverse(X),Y),Z),multiply(inverse(X),multiply(Y,Z))).
% 11027 [para:11009.1.1,14.1.1.1.1,demod:10988] equal(multiply(inverse(X),multiply(inverse(Y),Z)),multiply(inverse(multiply(Y,X)),Z)).
% 11035 [para:196.1.1,11009.1.1.2,demod:10988,10994] equal(multiply(multiply(X,multiply(Y,Z)),multiply(inverse(Z),U)),multiply(X,multiply(Y,U))).
% 11036 [para:1891.1.1,11009.1.1.1,demod:10988,11025,10992,11027,10980] equal(multiply(X,multiply(inverse(X),Y)),Y).
% 11040 [para:11009.1.1,9969.1.1,demod:11036] equal(X,inverse(inverse(X))).
% 11050 [para:1891.1.1,11040.1.2.1,demod:10992,11027,10980] equal(multiply(inverse(multiply(X,Y)),X),inverse(Y)).
% 11051 [para:11040.1.2,1181.1.1.1.1.1,demod:10988,11050,11027] equal(inverse(multiply(X,Y)),multiply(inverse(Y),inverse(X))).
% 11055 [para:10646.1.1,11040.1.2.1,demod:11051] equal(multiply(X,inverse(multiply(Y,X))),inverse(Y)).
% 11081 [para:11055.1.1,14.1.1.1.1,demod:10994,10988,11040] equal(multiply(X,multiply(Y,Z)),multiply(multiply(X,Y),Z)).
% 11098 [input:6,cut:912] -equal(multiply(multiply(inverse(b2),b2),a2),a2) | -equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))).
% 11099 [para:11035.1.2,11098.2.2,demod:11009,11025,11035,11081,cut:4,cut:4] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% not using sos strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% clause length limited to 5
% clause depth limited to 11
% seconds given: 10
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 258
% derived clauses: 273559
% kept clauses: 11088
% kept size sum: 388627
% kept mid-nuclei: 2
% kept new demods: 731
% forw unit-subs: 247524
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 69
% fast unit cutoff: 2
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 7.62
% process. runtime: 7.61
% 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/GRP055-1+eq_r.in")
%
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