TSTP Solution File: GRP420-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP420-1 : 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 : 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/GRP420-1+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 12 1)
% (binary-posweight-lex-big-order 30 #f 12 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(3,40,0,6,0,0,12,50,0,15,0,0)
%
%
% START OF PROOF
% 14 [] equal(inverse(multiply(inverse(multiply(X,inverse(multiply(inverse(Y),inverse(multiply(Z,inverse(multiply(inverse(Z),Z)))))))),multiply(X,Z))),Y).
% 15 [] -equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))).
% 16 [para:14.1.1,14.1.1.1.1.1.2.1.1] equal(inverse(multiply(inverse(multiply(X,inverse(multiply(Y,inverse(multiply(Z,inverse(multiply(inverse(Z),Z)))))))),multiply(X,Z))),multiply(inverse(multiply(U,inverse(multiply(inverse(Y),inverse(multiply(V,inverse(multiply(inverse(V),V)))))))),multiply(U,V))).
% 17 [para:16.1.1,14.1.1] equal(multiply(inverse(multiply(X,inverse(multiply(inverse(inverse(Y)),inverse(multiply(Z,inverse(multiply(inverse(Z),Z)))))))),multiply(X,Z)),Y).
% 18 [para:16.1.2,14.1.1.1] equal(inverse(inverse(multiply(inverse(multiply(X,inverse(multiply(Y,inverse(multiply(Z,inverse(multiply(inverse(Z),Z)))))))),multiply(X,Z)))),Y).
% 25 [para:17.1.1,17.1.1.2] equal(multiply(inverse(multiply(inverse(multiply(X,inverse(multiply(inverse(inverse(Y)),inverse(multiply(Z,inverse(multiply(inverse(Z),Z)))))))),inverse(multiply(inverse(inverse(U)),inverse(multiply(multiply(X,Z),inverse(multiply(inverse(multiply(X,Z)),multiply(X,Z))))))))),Y),U).
% 38 [para:25.1.1,14.1.1.1.1.1.2.1] equal(inverse(multiply(inverse(multiply(X,inverse(Y))),multiply(X,Z))),multiply(inverse(multiply(U,inverse(multiply(inverse(inverse(inverse(multiply(Z,inverse(multiply(inverse(Z),Z)))))),inverse(multiply(V,inverse(multiply(inverse(V),V)))))))),inverse(multiply(inverse(inverse(Y)),inverse(multiply(multiply(U,V),inverse(multiply(inverse(multiply(U,V)),multiply(U,V))))))))).
% 41 [para:38.1.1,14.1.1] equal(multiply(inverse(multiply(X,inverse(multiply(inverse(inverse(inverse(multiply(Y,inverse(multiply(inverse(Y),Y)))))),inverse(multiply(Z,inverse(multiply(inverse(Z),Z)))))))),inverse(multiply(inverse(inverse(multiply(inverse(U),inverse(multiply(Y,inverse(multiply(inverse(Y),Y))))))),inverse(multiply(multiply(X,Z),inverse(multiply(inverse(multiply(X,Z)),multiply(X,Z)))))))),U).
% 42 [para:38.1.2,14.1.1.1.1.1,demod:17] equal(inverse(multiply(inverse(inverse(multiply(inverse(multiply(X,inverse(Y))),multiply(X,Z)))),inverse(multiply(Z,inverse(multiply(inverse(Z),Z)))))),inverse(Y)).
% 45 [para:38.1.2,16.1.2.1.1,demod:17,14] equal(X,multiply(inverse(inverse(multiply(inverse(multiply(Y,inverse(X))),multiply(Y,Z)))),inverse(multiply(Z,inverse(multiply(inverse(Z),Z)))))).
% 47 [para:17.1.1,38.1.2.2.1.2.1.1,demod:17] equal(inverse(multiply(inverse(multiply(X,inverse(Y))),multiply(X,Z))),multiply(inverse(multiply(inverse(multiply(U,inverse(multiply(inverse(inverse(V)),inverse(multiply(W,inverse(multiply(inverse(W),W)))))))),inverse(multiply(inverse(inverse(inverse(multiply(Z,inverse(multiply(inverse(Z),Z)))))),inverse(multiply(multiply(U,W),inverse(multiply(inverse(multiply(U,W)),multiply(U,W))))))))),inverse(multiply(inverse(inverse(Y)),inverse(multiply(V,inverse(multiply(inverse(V),V)))))))).
% 53 [para:38.1.2,38.1.2] equal(inverse(multiply(inverse(multiply(X,inverse(Y))),multiply(X,Z))),inverse(multiply(inverse(multiply(U,inverse(Y))),multiply(U,Z)))).
% 54 [para:53.1.1,14.1.1.1.1.1.2.1.1,demod:14] equal(multiply(inverse(multiply(X,inverse(Y))),multiply(X,Z)),multiply(inverse(multiply(U,inverse(Y))),multiply(U,Z))).
% 71 [para:14.1.1,54.1.1.1.1.2,demod:14] equal(multiply(inverse(multiply(X,Y)),multiply(X,Z)),multiply(inverse(multiply(U,Y)),multiply(U,Z))).
% 95 [para:71.1.1,14.1.1.1.1.1.2.1.2.1.2.1] equal(inverse(multiply(inverse(multiply(X,inverse(multiply(inverse(Y),inverse(multiply(multiply(Z,U),inverse(multiply(inverse(multiply(V,U)),multiply(V,U))))))))),multiply(X,multiply(Z,U)))),Y).
% 127 [para:71.1.1,25.1.1.1.1.2.1.2.1.2.1] equal(multiply(inverse(multiply(inverse(multiply(X,inverse(multiply(inverse(inverse(Y)),inverse(multiply(Z,inverse(multiply(inverse(Z),Z)))))))),inverse(multiply(inverse(inverse(U)),inverse(multiply(multiply(X,Z),inverse(multiply(inverse(multiply(V,Z)),multiply(V,Z))))))))),Y),U).
% 144 [para:71.1.1,71.1.1.1.1] 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))).
% 145 [para:71.1.1,71.1.1.2] 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)))).
% 237 [para:14.1.1,42.1.1.1.1.1.1.1.1.2,demod:14] equal(inverse(multiply(inverse(inverse(multiply(inverse(multiply(X,Y)),multiply(X,Z)))),inverse(multiply(Z,inverse(multiply(inverse(Z),Z)))))),Y).
% 451 [para:145.1.1,144.1.1] 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)))).
% 1104 [para:25.1.1,95.1.1.1.1.1.2.1.2.1.1,demod:127] equal(inverse(multiply(inverse(multiply(X,inverse(multiply(inverse(Y),inverse(multiply(Z,inverse(multiply(inverse(multiply(U,V)),multiply(U,V))))))))),multiply(X,Z))),Y).
% 1127 [para:17.1.1,1104.1.1.1.1.1.2.1.2.1.2.1.1.1,demod:17] equal(inverse(multiply(inverse(multiply(X,inverse(multiply(inverse(Y),inverse(multiply(Z,inverse(multiply(inverse(U),U)))))))),multiply(X,Z))),Y).
% 1193 [para:1127.1.1,45.1.2.1.1] equal(multiply(inverse(X),inverse(multiply(Y,inverse(multiply(inverse(Z),Z))))),multiply(inverse(X),inverse(multiply(Y,inverse(multiply(inverse(Y),Y)))))).
% 1277 [para:1193.1.2,45.1.2] equal(X,multiply(inverse(inverse(multiply(inverse(multiply(Y,inverse(X))),multiply(Y,Z)))),inverse(multiply(Z,inverse(multiply(inverse(U),U)))))).
% 1278 [para:1193.1.1,45.1.2.1.1.1.1.1,demod:1277] equal(multiply(X,inverse(multiply(inverse(Y),Y))),multiply(X,inverse(multiply(inverse(X),X)))).
% 1303 [para:1193.1.1,42.1.1.1.1.1.1.1.1,demod:1277] equal(inverse(multiply(X,inverse(multiply(inverse(X),X)))),inverse(multiply(X,inverse(multiply(inverse(Y),Y))))).
% 1518 [para:1278.1.1,45.1.2.1.1.1.1.1,demod:1277] equal(multiply(inverse(X),X),multiply(inverse(Y),Y)).
% 1537 [para:1278.1.1,42.1.1.1.1.1.1.1.1,demod:1277] equal(inverse(multiply(inverse(X),X)),inverse(multiply(inverse(Y),Y))).
% 1716 [para:1278.1.2,1278.1.2] equal(multiply(X,inverse(multiply(inverse(Y),Y))),multiply(X,inverse(multiply(inverse(Z),Z)))).
% 1798 [para:1518.1.1,45.1.2.1.1.1] equal(X,multiply(inverse(inverse(multiply(inverse(Y),Y))),inverse(multiply(inverse(X),inverse(multiply(inverse(inverse(X)),inverse(X))))))).
% 2033 [para:1537.1.1,1518.1.1.1] equal(multiply(inverse(multiply(inverse(X),X)),multiply(inverse(Y),Y)),multiply(inverse(Z),Z)).
% 2035 [para:1537.1.1,1537.1.1.1.1] equal(inverse(multiply(inverse(multiply(inverse(X),X)),multiply(inverse(Y),Y))),inverse(multiply(inverse(Z),Z))).
% 2142 [para:1716.1.1,1518.1.1] equal(multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(Y),Y))),multiply(inverse(Z),Z)).
% 3395 [para:2142.1.1,1193.1.1,demod:1798] equal(multiply(inverse(X),X),inverse(multiply(inverse(Y),Y))).
% 3943 [para:3395.1.2,1278.1.2.2] equal(multiply(X,inverse(multiply(inverse(Y),Y))),multiply(X,multiply(inverse(Z),Z))).
% 3977 [para:3395.1.1,2033.1.1.2] equal(multiply(inverse(multiply(inverse(X),X)),inverse(multiply(inverse(Y),Y))),multiply(inverse(Z),Z)).
% 4064 [para:3395.1.1,3395.1.2.1] equal(multiply(inverse(X),X),inverse(inverse(multiply(inverse(Y),Y)))).
% 4240 [para:4064.1.2,237.1.1.1.1] equal(inverse(multiply(multiply(inverse(X),X),inverse(multiply(Y,inverse(multiply(inverse(Y),Y)))))),Y).
% 4241 [para:4064.1.1,237.1.1.1.1.1.1] equal(inverse(multiply(inverse(inverse(inverse(inverse(multiply(inverse(X),X))))),inverse(multiply(Y,inverse(multiply(inverse(Y),Y)))))),Y).
% 4498 [para:4064.1.2,3395.1.1.1] equal(multiply(multiply(inverse(X),X),inverse(multiply(inverse(Y),Y))),inverse(multiply(inverse(Z),Z))).
% 17979 [para:3395.1.2,4240.1.1.1.2.1.2] equal(inverse(multiply(multiply(inverse(X),X),inverse(multiply(Y,multiply(inverse(Z),Z))))),Y).
% 18148 [para:3977.1.2,4240.1.1.1.2.1.2.1] equal(inverse(multiply(multiply(inverse(X),X),inverse(multiply(Y,inverse(multiply(inverse(multiply(inverse(Z),Z)),inverse(multiply(inverse(U),U)))))))),Y).
% 18194 [para:71.1.1,17979.1.1.1.2.1] equal(inverse(multiply(multiply(inverse(X),X),inverse(multiply(inverse(multiply(Y,Z)),multiply(Y,U))))),inverse(multiply(inverse(U),Z))).
% 18538 [para:4498.1.1,14.1.1.1.2,demod:18148] equal(inverse(multiply(inverse(X),inverse(multiply(inverse(Y),Y)))),X).
% 18562 [para:4498.1.1,17.1.1.2,demod:17979,18538] equal(multiply(inverse(inverse(X)),inverse(multiply(inverse(Y),Y))),X).
% 18568 [para:4498.1.1,18.1.1.1.1.2,demod:17979,18538,18562] equal(inverse(inverse(multiply(X,inverse(multiply(inverse(Y),Y))))),X).
% 18704 [para:4498.1.2,45.1.2.1.1,demod:18538] equal(X,multiply(inverse(multiply(multiply(inverse(Y),Y),inverse(multiply(inverse(Z),Z)))),X)).
% 19185 [para:4498.1.1,41.1.1.1.1.2.1.1.1.1.1,demod:18538,18194,4241] equal(multiply(inverse(multiply(X,Y)),inverse(multiply(inverse(Z),inverse(multiply(multiply(X,Y),inverse(multiply(inverse(multiply(X,Y)),multiply(X,Y)))))))),Z).
% 19291 [para:4498.1.2,47.1.2.1.1.1.1.2.1.1.1,demod:18562,18194,19185,18568,18704] equal(inverse(multiply(inverse(multiply(X,inverse(Y))),multiply(X,Z))),multiply(inverse(Z),inverse(Y))).
% 19489 [para:18538.1.1,18.1.1.1.1.1,demod:18568] equal(inverse(inverse(multiply(X,multiply(inverse(X),Y)))),Y).
% 19745 [para:3395.1.2,18538.1.1.1.2] equal(inverse(multiply(inverse(X),multiply(inverse(Y),Y))),X).
% 19964 [para:18538.1.1,4240.1.1.1.2] equal(inverse(multiply(multiply(inverse(X),X),Y)),inverse(Y)).
% 20058 [para:1537.1.1,19489.1.1.1.1.2.1,demod:19964] equal(inverse(inverse(multiply(inverse(multiply(inverse(X),X)),Y))),Y).
% 20086 [para:2035.1.2,19489.1.1.1.1.2.1,demod:19964,19745] equal(inverse(inverse(X)),X).
% 20098 [para:4064.1.2,19489.1.1.1.1.2.1,demod:20058] equal(multiply(multiply(inverse(X),X),Y),Y).
% 20321 [para:1303.1.1,20086.1.1.1,demod:18568] equal(X,multiply(X,inverse(multiply(inverse(X),X)))).
% 20322 [para:1303.1.2,20086.1.1.1,demod:20086,20321] equal(X,multiply(X,inverse(multiply(inverse(Y),Y)))).
% 20351 [para:20086.1.1,3943.1.2.2.1,demod:20322] equal(X,multiply(X,multiply(Y,inverse(Y)))).
% 20418 [para:20086.1.1,19489.1.1.1.1.2.1,demod:20086] equal(multiply(inverse(X),multiply(X,Y)),Y).
% 20452 [para:20098.1.1,53.1.1.1.1.1,demod:19291,20098,20086] equal(inverse(multiply(X,Y)),multiply(inverse(Y),inverse(X))).
% 20453 [para:20098.1.1,54.1.1.1.1,demod:20098,20086] equal(multiply(X,Y),multiply(inverse(multiply(Z,inverse(X))),multiply(Z,Y))).
% 20455 [para:20098.1.1,71.1.1.1.1,demod:20098] equal(multiply(inverse(X),Y),multiply(inverse(multiply(Z,X)),multiply(Z,Y))).
% 20478 [para:20351.1.2,53.1.1.1,demod:20453,20086] equal(multiply(X,inverse(Y)),inverse(multiply(Y,inverse(X)))).
% 20495 [para:20351.1.2,451.1.1.1.1,demod:20478,20455,20418] equal(multiply(X,Y),multiply(multiply(X,inverse(Z)),multiply(Z,Y))).
% 20527 [para:20418.1.1,54.1.1.2,demod:20495,20478,20086,20452,slowcut:15] 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 13
% seconds given: 60
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 139
% derived clauses: 120236
% kept clauses: 18558
% kept size sum: 730109
% kept mid-nuclei: 0
% kept new demods: 1565
% forw unit-subs: 58644
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 24
% fast unit cutoff: 0
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 4.58
% process. runtime: 4.56
% 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/GRP420-1+eq_r.in")
%
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