TSTP Solution File: GRP444-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP444-1 : 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 : art03.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/GRP444-1+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 8 1)
% (binary-posweight-lex-big-order 30 #f 8 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(3,40,0,6,0,1)
%
%
% START OF PROOF
% 4 [] equal(X,X).
% 5 [] equal(inverse(multiply(X,multiply(Y,multiply(multiply(Z,inverse(Z)),inverse(multiply(U,multiply(X,Y))))))),U).
% 6 [] -equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))).
% 7 [para:5.1.1,5.1.1.1.2.2.2] equal(inverse(multiply(X,multiply(multiply(multiply(Y,inverse(Y)),inverse(multiply(Z,multiply(U,X)))),multiply(multiply(V,inverse(V)),Z)))),U).
% 8 [para:7.1.1,5.1.1.1.2.2.2] equal(inverse(multiply(multiply(multiply(X,inverse(X)),inverse(multiply(Y,multiply(Z,U)))),multiply(multiply(multiply(V,inverse(V)),Y),multiply(multiply(W,inverse(W)),Z)))),U).
% 9 [para:7.1.1,7.1.1.1.2.1.2] equal(inverse(multiply(multiply(multiply(X,inverse(X)),Y),multiply(multiply(multiply(Z,inverse(Z)),U),multiply(multiply(V,inverse(V)),W)))),multiply(multiply(X1,inverse(X1)),inverse(multiply(Y,multiply(U,W))))).
% 10 [para:9.1.1,8.1.1] equal(multiply(multiply(X,inverse(X)),inverse(multiply(inverse(multiply(Y,multiply(Z,U))),multiply(Y,Z)))),U).
% 11 [para:9.1.1,8.1.1.1.1.2] equal(inverse(multiply(multiply(multiply(X,inverse(X)),multiply(multiply(Y,inverse(Y)),inverse(multiply(Z,multiply(U,V))))),multiply(multiply(multiply(W,inverse(W)),multiply(multiply(X1,inverse(X1)),Z)),multiply(multiply(X2,inverse(X2)),multiply(multiply(X3,inverse(X3)),U))))),multiply(multiply(X4,inverse(X4)),V)).
% 18 [para:7.1.1,10.1.1.2.1.1,demod:5] equal(multiply(multiply(X,inverse(X)),Y),multiply(multiply(Z,inverse(Z)),Y)).
% 19 [para:10.1.1,8.1.1.1.1.2.1.2] equal(inverse(multiply(multiply(multiply(X,inverse(X)),inverse(multiply(Y,Z))),multiply(multiply(multiply(U,inverse(U)),Y),multiply(multiply(V,inverse(V)),multiply(W,inverse(W)))))),inverse(multiply(inverse(multiply(X1,multiply(X2,Z))),multiply(X1,X2)))).
% 24 [para:18.1.1,5.1.1.1.2.2.2.1,demod:5] equal(multiply(X,inverse(X)),multiply(Y,inverse(Y))).
% 27 [para:8.1.1,18.1.1.1.2] equal(multiply(multiply(multiply(multiply(multiply(X,inverse(X)),inverse(multiply(Y,multiply(Z,U)))),multiply(multiply(multiply(V,inverse(V)),Y),multiply(multiply(W,inverse(W)),Z))),U),X1),multiply(multiply(X2,inverse(X2)),X1)).
% 36 [para:9.1.2,18.1.2] equal(multiply(multiply(X,inverse(X)),inverse(multiply(Y,multiply(Z,U)))),inverse(multiply(multiply(multiply(V,inverse(V)),Y),multiply(multiply(multiply(W,inverse(W)),Z),multiply(multiply(X1,inverse(X1)),U))))).
% 46 [para:24.1.1,8.1.1.1.1.2.1.2] equal(inverse(multiply(multiply(multiply(X,inverse(X)),inverse(multiply(Y,multiply(Z,inverse(Z))))),multiply(multiply(multiply(U,inverse(U)),Y),multiply(multiply(V,inverse(V)),W)))),inverse(W)).
% 53 [para:24.1.1,10.1.1.2.1.1.1.2] equal(multiply(multiply(X,inverse(X)),inverse(multiply(inverse(multiply(Y,multiply(Z,inverse(Z)))),multiply(Y,U)))),inverse(U)).
% 54 [para:24.1.1,10.1.1.2.1.2] equal(multiply(multiply(X,inverse(X)),inverse(multiply(inverse(multiply(Y,multiply(inverse(Y),Z))),multiply(U,inverse(U))))),Z).
% 166 [para:53.1.1,5.1.1.1.2.2] equal(inverse(multiply(X,multiply(Y,inverse(Y)))),inverse(multiply(X,multiply(Z,inverse(Z))))).
% 217 [para:166.1.1,24.1.1.2] equal(multiply(multiply(X,multiply(Y,inverse(Y))),inverse(multiply(X,multiply(Z,inverse(Z))))),multiply(U,inverse(U))).
% 532 [para:54.1.1,5.1.1.1.2.2] equal(inverse(multiply(X,multiply(inverse(X),Y))),inverse(multiply(Z,multiply(inverse(Z),Y)))).
% 612 [para:532.1.1,217.1.1.2] equal(multiply(multiply(X,multiply(Y,inverse(Y))),inverse(multiply(Z,multiply(inverse(Z),inverse(inverse(X)))))),multiply(U,inverse(U))).
% 1033 [para:166.1.1,19.1.1.1.1.2,demod:46] equal(inverse(multiply(X,inverse(X))),inverse(multiply(inverse(multiply(Y,multiply(Z,multiply(U,inverse(U))))),multiply(Y,Z)))).
% 2591 [para:612.1.1,27.1.1,demod:8] equal(multiply(X,inverse(X)),multiply(multiply(Y,inverse(Y)),inverse(multiply(Z,multiply(inverse(Z),inverse(multiply(U,inverse(U)))))))).
% 3008 [para:2591.1.2,5.1.1.1.2.2] equal(inverse(multiply(inverse(X),multiply(inverse(multiply(Y,inverse(Y))),multiply(Z,inverse(Z))))),X).
% 3013 [para:2591.1.2,8.1.1.1.1.2.1.2,demod:46] equal(inverse(multiply(X,inverse(X))),inverse(multiply(Y,multiply(inverse(Y),inverse(multiply(Z,inverse(Z))))))).
% 3125 [para:3008.1.1,10.1.1.2] equal(multiply(multiply(X,inverse(X)),multiply(inverse(multiply(Y,inverse(Y))),multiply(multiply(Z,inverse(Z)),U))),U).
% 3160 [para:532.1.1,3008.1.1.1.1,demod:3008] equal(multiply(X,multiply(inverse(X),Y)),multiply(Z,multiply(inverse(Z),Y))).
% 3181 [para:1033.1.1,3008.1.1.1.1,demod:3008] equal(multiply(inverse(multiply(X,multiply(Y,multiply(Z,inverse(Z))))),multiply(X,Y)),multiply(U,inverse(U))).
% 3891 [para:3013.1.1,3008.1.1.1.1,demod:3008] equal(multiply(X,multiply(inverse(X),inverse(multiply(Y,inverse(Y))))),multiply(Z,inverse(Z))).
% 3914 [para:3891.1.1,8.1.1.1.1.2.1.2,demod:46] equal(inverse(X),multiply(inverse(X),inverse(multiply(Y,inverse(Y))))).
% 3927 [para:5.1.1,3914.1.2.1,demod:5] equal(X,multiply(X,inverse(multiply(Y,inverse(Y))))).
% 4064 [para:3181.1.1,8.1.1.1.1.2.1.2,demod:46] equal(inverse(inverse(multiply(X,multiply(Y,multiply(Z,inverse(Z)))))),multiply(X,Y)).
% 4208 [para:3160.1.1,4064.1.1.1.1.2] equal(inverse(inverse(multiply(X,multiply(Y,multiply(inverse(Y),inverse(inverse(Z))))))),multiply(X,Z)).
% 4230 [para:532.1.1,4208.1.1.1] equal(inverse(inverse(multiply(X,multiply(inverse(X),multiply(inverse(inverse(Y)),inverse(inverse(Z))))))),multiply(Y,Z)).
% 4662 [para:166.1.1,4230.1.1.1.1.2.2.1.1,demod:4230] equal(multiply(multiply(X,multiply(Y,inverse(Y))),Z),multiply(multiply(X,multiply(U,inverse(U))),Z)).
% 4910 [para:3125.1.1,5.1.1.1,demod:3927] equal(inverse(inverse(multiply(X,multiply(Y,inverse(Y))))),X).
% 4970 [para:3125.1.1,3160.1.1] equal(X,multiply(Y,multiply(inverse(Y),multiply(multiply(Z,inverse(Z)),X)))).
% 4976 [para:3125.1.1,4064.1.1.1.1,demod:3927] equal(inverse(inverse(inverse(multiply(X,inverse(X))))),multiply(Y,inverse(Y))).
% 5013 [para:532.1.1,4910.1.1.1] equal(inverse(inverse(multiply(X,multiply(inverse(X),inverse(inverse(Y)))))),Y).
% 5436 [para:4976.1.2,3927.1.2.2.1] equal(X,multiply(X,inverse(inverse(inverse(inverse(multiply(Y,inverse(Y)))))))).
% 5461 [para:4976.1.1,4230.1.1.1.1.2.2.1,demod:4970] equal(inverse(inverse(inverse(inverse(X)))),multiply(inverse(multiply(Y,inverse(Y))),X)).
% 5462 [para:4976.1.1,4230.1.1.1.1.2.2.1.1,demod:5013,5461] equal(inverse(inverse(inverse(inverse(X)))),multiply(inverse(inverse(multiply(Y,inverse(Y)))),X)).
% 5467 [para:4976.1.1,4662.1.1.1.2.2,demod:5436,5462] equal(multiply(X,Y),multiply(multiply(X,multiply(Z,inverse(Z))),Y)).
% 5476 [para:4976.1.1,4910.1.1.1.1.2.2,demod:5436,5462] equal(inverse(inverse(X)),X).
% 5479 [para:4976.1.2,36.1.1.1,demod:5461,5476] equal(inverse(multiply(X,multiply(Y,Z))),inverse(multiply(multiply(multiply(U,inverse(U)),X),multiply(multiply(multiply(V,inverse(V)),Y),multiply(multiply(W,inverse(W)),Z))))).
% 5480 [para:4976.1.1,36.1.1.1.2,demod:5479,5467,5476] equal(multiply(multiply(X,inverse(X)),inverse(multiply(Y,multiply(Z,U)))),inverse(multiply(Y,multiply(Z,U)))).
% 5483 [para:4976.1.2,36.1.2.1.1.1,demod:5461,5476,5480] equal(inverse(multiply(X,multiply(Y,Z))),inverse(multiply(X,multiply(multiply(multiply(U,inverse(U)),Y),multiply(multiply(V,inverse(V)),Z))))).
% 5497 [para:8.1.1,5476.1.1.1,demod:5480] equal(inverse(X),multiply(inverse(multiply(Y,multiply(Z,X))),multiply(multiply(multiply(U,inverse(U)),Y),multiply(multiply(V,inverse(V)),Z)))).
% 5501 [para:5476.1.1,9.1.2.1.2,demod:5479] equal(inverse(multiply(X,multiply(Y,Z))),multiply(multiply(inverse(U),U),inverse(multiply(X,multiply(Y,Z))))).
% 5511 [para:5476.1.1,11.1.1.1.1.1.2,demod:5476,5497,5483,5501,5480] equal(X,multiply(multiply(Y,inverse(Y)),X)).
% 5513 [para:11.1.1,5476.1.1.1,demod:5511] equal(inverse(X),multiply(inverse(multiply(Y,multiply(Z,X))),multiply(Y,Z))).
% 5523 [para:166.1.1,5476.1.1.1,demod:4910] equal(X,multiply(X,multiply(Y,inverse(Y)))).
% 5533 [para:19.1.1,5476.1.1.1,demod:5523,5511,5476,5513] equal(inverse(X),multiply(inverse(multiply(Y,X)),Y)).
% 5581 [para:19.1.1,5533.1.2.1,demod:5476,5513,5523,5511] equal(inverse(X),multiply(Y,inverse(multiply(X,Y)))).
% 5593 [para:8.1.1,5581.1.2.2,demod:5476,5511] equal(multiply(X,multiply(Y,Z)),multiply(multiply(X,Y),Z)).
% 5600 [para:5593.1.2,6.1.1,cut:4] 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 8
% seconds given: 60
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 177
% derived clauses: 162631
% kept clauses: 5593
% kept size sum: 202840
% kept mid-nuclei: 0
% kept new demods: 313
% forw unit-subs: 90848
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 2
% fast unit cutoff: 1
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 2.90
% process. runtime: 2.88
% 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/GRP444-1+eq_r.in")
%
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