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% File : Gandalf---c-2.6
% Problem : ALG006-1 : TPTP v3.4.2. Released v2.2.0.
% 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
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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/ALG/ALG006-1+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 3 1)
% (binary-posweight-lex-big-order 30 #f 3 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(5,40,0,10,0,0,27,50,0,32,0,0)
%
%
% START OF PROOF
% 29 [] equal(difference(X,difference(Y,X)),X).
% 30 [] equal(difference(X,difference(X,Y)),difference(Y,difference(Y,X))).
% 31 [] equal(difference(difference(X,Y),Z),difference(difference(X,Z),difference(Y,Z))).
% 32 [] -equal(difference(difference(a,c),b),difference(difference(a,b),c)).
% 33 [para:29.1.1,29.1.1.2] equal(difference(difference(X,Y),Y),difference(X,Y)).
% 35 [para:29.1.1,30.1.1.2,demod:31,33] equal(difference(X,X),difference(difference(Y,Y),X)).
% 39 [para:35.1.2,29.1.1,demod:31] equal(difference(difference(X,X),difference(Y,Y)),difference(Y,Y)).
% 44 [para:39.1.1,30.1.1.2,demod:39] equal(difference(X,X),difference(Y,Y)).
% 47 [para:44.1.1,29.1.1.2] equal(difference(X,difference(Y,Y)),X).
% 48 [para:44.1.1,35.1.1] equal(difference(X,X),difference(difference(Y,Y),Z)).
% 55 [para:33.1.1,31.1.2.1,demod:31] equal(difference(difference(difference(X,Y),Z),Y),difference(difference(X,Z),Y)).
% 60 [para:31.1.2,48.1.2] equal(difference(X,X),difference(difference(Y,Z),Y)).
% 71 [para:60.1.2,30.1.1.2,demod:47] equal(difference(X,Y),difference(X,difference(X,difference(X,Y)))).
% 77 [para:60.1.2,31.1.2.2,demod:47] equal(difference(difference(X,difference(Y,Z)),Y),difference(X,Y)).
% 86 [para:77.1.1,60.1.2.1] equal(difference(X,X),difference(difference(Y,Z),difference(Y,difference(Z,U)))).
% 109 [para:33.1.1,86.1.2.1] equal(difference(X,X),difference(difference(Y,Z),difference(difference(Y,Z),difference(Z,U)))).
% 152 [para:109.1.2,71.1.2.2,demod:47] equal(difference(difference(X,Y),difference(Y,Z)),difference(X,Y)).
% 155 [para:29.1.1,152.1.1.1,demod:29] equal(difference(X,difference(difference(Y,X),Z)),X).
% 167 [para:155.1.1,29.1.1.2,demod:55,slowcut:32] 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 4
% seconds given: 60
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 84
% derived clauses: 19799
% kept clauses: 150
% kept size sum: 2178
% kept mid-nuclei: 0
% kept new demods: 48
% forw unit-subs: 14818
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 20
% fast unit cutoff: 0
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 0.23
% process. runtime: 0.21
% 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/ALG/ALG006-1+eq_r.in")
%
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