TSTP Solution File: GRP432-1 by Gandalf---c-2.6
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%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP432-1 : 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 : art04.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/GRP432-1+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(3,40,1,6,0,1)
%
%
% START OF PROOF
% 4 [] equal(X,X).
% 5 [] equal(multiply(X,inverse(multiply(Y,multiply(multiply(multiply(Z,inverse(Z)),inverse(multiply(U,Y))),X)))),U).
% 6 [] -equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))).
% 8 [para:5.1.1,5.1.1.2.1.2.1] equal(multiply(X,inverse(multiply(multiply(multiply(multiply(Y,inverse(Y)),inverse(multiply(Z,U))),multiply(V,inverse(V))),multiply(Z,X)))),U).
% 9 [para:8.1.1,5.1.1.2.1.2] equal(multiply(inverse(multiply(multiply(multiply(multiply(X,inverse(X)),inverse(multiply(Y,Z))),multiply(U,inverse(U))),multiply(Y,multiply(multiply(V,inverse(V)),inverse(multiply(W,X1)))))),inverse(multiply(X1,Z))),W).
% 10 [para:8.1.1,5.1.1.2.1.2.1] equal(multiply(X,inverse(multiply(multiply(Y,multiply(Z,inverse(Z))),multiply(U,X)))),multiply(multiply(multiply(V,inverse(V)),inverse(multiply(Y,U))),multiply(W,inverse(W)))).
% 11 [para:5.1.1,8.1.1.2.1.1.1.2.1] equal(multiply(X,inverse(multiply(multiply(multiply(multiply(Y,inverse(Y)),inverse(Z)),multiply(U,inverse(U))),multiply(V,X)))),inverse(multiply(W,multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(Z,W))),V)))).
% 13 [para:8.1.1,8.1.1.2.1.1.1.2.1] equal(multiply(X,inverse(multiply(multiply(multiply(multiply(Y,inverse(Y)),inverse(Z)),multiply(U,inverse(U))),multiply(V,X)))),inverse(multiply(multiply(multiply(multiply(W,inverse(W)),inverse(multiply(X1,Z))),multiply(X2,inverse(X2))),multiply(X1,V)))).
% 17 [para:10.1.1,8.1.1] equal(multiply(multiply(multiply(X,inverse(X)),inverse(multiply(multiply(multiply(Y,inverse(Y)),inverse(multiply(Z,U))),Z))),multiply(V,inverse(V))),U).
% 26 [para:17.1.1,5.1.1.2.1.2] equal(multiply(multiply(X,inverse(X)),inverse(multiply(Y,Z))),multiply(multiply(U,inverse(U)),inverse(multiply(Y,Z)))).
% 33 [para:17.1.1,17.1.1.1.2.1] equal(multiply(multiply(multiply(X,inverse(X)),inverse(inverse(Y))),multiply(Z,inverse(Z))),Y).
% 42 [para:26.1.1,5.1.1.2.1.2.1.2.1,demod:5] equal(multiply(X,inverse(X)),multiply(Y,inverse(Y))).
% 52 [para:26.1.1,17.1.1.1.2.1] equal(multiply(multiply(multiply(X,inverse(X)),inverse(multiply(multiply(Y,inverse(Y)),inverse(multiply(Z,U))))),multiply(V,inverse(V))),inverse(inverse(multiply(Z,U)))).
% 61 [para:42.1.1,8.1.1.2.1.1.1] equal(multiply(X,inverse(multiply(multiply(multiply(Y,inverse(Y)),multiply(Z,inverse(Z))),multiply(U,X)))),inverse(U)).
% 69 [para:42.1.1,26.1.1] equal(multiply(X,inverse(X)),multiply(multiply(Y,inverse(Y)),inverse(multiply(Z,inverse(Z))))).
% 99 [para:69.1.1,8.1.1.2.1.1.1.2.1,demod:52] equal(multiply(X,inverse(multiply(inverse(inverse(multiply(Y,inverse(Y)))),multiply(Z,X)))),inverse(Z)).
% 146 [para:11.1.1,8.1.1] equal(inverse(multiply(X,multiply(multiply(multiply(Y,inverse(Y)),inverse(multiply(multiply(Z,U),X))),Z))),U).
% 228 [para:42.1.1,146.1.1.1.2.1] equal(inverse(multiply(inverse(multiply(X,Y)),multiply(multiply(Z,inverse(Z)),X))),Y).
% 234 [para:69.1.2,146.1.1.1.2] equal(inverse(multiply(inverse(multiply(inverse(multiply(X,inverse(X))),Y)),multiply(Z,inverse(Z)))),Y).
% 403 [para:228.1.1,234.1.1.1.1] equal(inverse(multiply(inverse(X),multiply(Y,inverse(Y)))),multiply(multiply(Z,inverse(Z)),X)).
% 449 [para:403.1.2,10.1.2.1.2.1,demod:33,61] equal(inverse(X),multiply(inverse(X),multiply(Y,inverse(Y)))).
% 459 [para:403.1.2,33.1.1.1,demod:449] equal(inverse(inverse(inverse(inverse(X)))),X).
% 464 [para:403.1.2,26.1.1,demod:449] equal(inverse(inverse(inverse(multiply(X,Y)))),multiply(multiply(Z,inverse(Z)),inverse(multiply(X,Y)))).
% 477 [para:42.1.1,403.1.1.1.2,demod:449] equal(inverse(inverse(X)),multiply(multiply(Y,inverse(Y)),X)).
% 483 [para:403.1.1,9.1.1.1.1.2.2.2,demod:459,477,449,464] equal(multiply(inverse(multiply(inverse(inverse(inverse(multiply(X,Y)))),multiply(X,Z))),inverse(inverse(inverse(Y)))),inverse(Z)).
% 485 [para:403.1.2,9.1.1.2.1,demod:459,483,449,464] equal(multiply(X,multiply(Y,inverse(Y))),X).
% 493 [para:403.1.2,11.1.1.2.1.1,demod:459,477,99,449] equal(inverse(X),inverse(multiply(Y,multiply(inverse(Y),X)))).
% 498 [para:403.1.2,11.1.2.1.2,demod:449,477] equal(multiply(X,inverse(multiply(inverse(inverse(inverse(Y))),multiply(Z,X)))),inverse(multiply(inverse(Y),inverse(inverse(Z))))).
% 554 [para:485.1.1,10.1.1.2.1,demod:449,464,485] equal(multiply(inverse(X),inverse(Y)),inverse(inverse(inverse(multiply(Y,X))))).
% 565 [para:485.1.1,11.1.1.2.1,demod:554,464,459,449,477] equal(multiply(inverse(X),Y),inverse(multiply(Z,multiply(multiply(inverse(Z),inverse(Y)),X)))).
% 566 [para:485.1.1,11.1.1.2.1.1,demod:565,554,464,498,477] equal(inverse(multiply(inverse(X),inverse(inverse(Y)))),multiply(inverse(Y),X)).
% 567 [?] ?
% 568 [para:485.1.1,11.1.2.1.2,demod:493,554,464,566,449,567,477] equal(multiply(X,multiply(inverse(X),Y)),inverse(inverse(Y))).
% 571 [para:485.1.1,146.1.1.1.2,demod:568,567,554,464,477] equal(inverse(inverse(X)),X).
% 584 [para:485.1.1,13.1.1.2.1,demod:464,449,571,477] equal(multiply(inverse(X),Y),inverse(multiply(inverse(multiply(Z,Y)),multiply(Z,X)))).
% 585 [para:485.1.1,13.1.1.2.1.2,demod:584,464,449,571,477] equal(inverse(multiply(inverse(X),Y)),multiply(inverse(Y),X)).
% 587 [para:485.1.1,13.1.2.1.1,demod:584,464,585,449,571,477] equal(multiply(X,multiply(inverse(multiply(Y,X)),Z)),multiply(inverse(Y),Z)).
% 600 [para:146.1.1,571.1.1.1,demod:587,571,464] equal(inverse(X),multiply(inverse(multiply(Y,X)),Y)).
% 676 [para:10.1.1,600.1.2.1.1,demod:449,464,571,485] equal(multiply(X,multiply(Y,Z)),multiply(multiply(X,Y),Z)).
% 681 [para:676.1.2,6.1.1,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: 85
% derived clauses: 22635
% kept clauses: 674
% kept size sum: 16788
% kept mid-nuclei: 0
% kept new demods: 291
% forw unit-subs: 20275
% 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 : 0.64
% process. runtime: 0.62
% 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/GRP432-1+eq_r.in")
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