TSTP Solution File: GRP403-1 by Gandalf---c-2.6
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%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP403-1 : 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 : art10.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
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%----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/GRP403-1+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 *********
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(3,40,0,6,0,0,6,50,0,9,0,0)
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%
% START OF PROOF
% 8 [] equal(multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(X,Y)),Z)),inverse(multiply(Y,multiply(inverse(Y),Y)))))),Z).
% 9 [] -equal(multiply(inverse(a1),a1),multiply(inverse(b1),b1)).
% 10 [para:8.1.1,8.1.1.2.1.1.1] equal(multiply(X,inverse(multiply(inverse(Y),inverse(multiply(Z,multiply(inverse(Z),Z)))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X,Z)),U)),Y)),inverse(multiply(U,multiply(inverse(U),U)))))).
% 11 [para:10.1.1,8.1.1] equal(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X,Y)),Z)),multiply(inverse(multiply(X,Y)),U))),inverse(multiply(Z,multiply(inverse(Z),Z))))),U).
% 12 [para:10.1.2,8.1.1.2] equal(multiply(inverse(multiply(X,Y)),multiply(X,inverse(multiply(inverse(Z),inverse(multiply(Y,multiply(inverse(Y),Y))))))),Z).
% 18 [para:11.1.1,11.1.1.1.1.1.1.1.1,demod:11] equal(inverse(multiply(inverse(multiply(inverse(multiply(X,Y)),multiply(X,Z))),inverse(multiply(Y,multiply(inverse(Y),Y))))),Z).
% 23 [para:18.1.1,12.1.1.2.2] equal(multiply(inverse(multiply(X,Y)),multiply(X,Z)),multiply(inverse(multiply(U,Y)),multiply(U,Z))).
% 25 [para:23.1.1,8.1.1.2.1.2.1.2] equal(multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(X,multiply(Y,Z))),U)),inverse(multiply(multiply(Y,Z),multiply(inverse(multiply(V,Z)),multiply(V,Z))))))),U).
% 36 [para:18.1.1,23.1.1.1] equal(multiply(X,multiply(inverse(multiply(inverse(multiply(Y,Z)),multiply(Y,X))),U)),multiply(inverse(multiply(V,inverse(multiply(Z,multiply(inverse(Z),Z))))),multiply(V,U))).
% 279 [para:18.1.1,25.1.1.2.1.1] equal(multiply(inverse(multiply(X,Y)),inverse(multiply(Z,inverse(multiply(multiply(X,Z),multiply(inverse(multiply(U,Z)),multiply(U,Z))))))),inverse(multiply(Y,multiply(inverse(Y),Y)))).
% 302 [para:18.1.1,36.1.2.1] equal(multiply(X,multiply(inverse(multiply(inverse(multiply(Y,Z)),multiply(Y,X))),U)),multiply(V,multiply(inverse(multiply(inverse(multiply(W,Z)),multiply(W,V))),U))).
% 389 [para:279.1.1,12.1.1.2] equal(multiply(inverse(multiply(inverse(multiply(X,Y)),multiply(X,inverse(Z)))),inverse(multiply(Y,multiply(inverse(Y),Y)))),Z).
% 435 [para:389.1.1,302.1.1.2] equal(multiply(inverse(X),X),multiply(Y,multiply(inverse(multiply(inverse(multiply(Z,U)),multiply(Z,Y))),inverse(multiply(U,multiply(inverse(U),U)))))).
% 440 [para:435.1.1,9.1.2,cut:435] 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 9
% seconds given: 60
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 26
% derived clauses: 3901
% kept clauses: 430
% kept size sum: 17728
% kept mid-nuclei: 0
% kept new demods: 33
% forw unit-subs: 1336
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 5
% fast unit cutoff: 2
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 0.10
% process. runtime: 0.8
% 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/GRP403-1+eq_r.in")
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