%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : LAT007-1 : 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 : art09.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/LAT/LAT007-1+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(4,40,1,8,0,1,8,50,1,12,0,1)
%
%
% START OF PROOF
% 10 [] equal(meet(X,join(X,Y)),X).
% 11 [] equal(meet(X,join(Y,Z)),join(meet(Z,X),meet(Y,X))).
% 12 [] -equal(join(join(a,b),c),join(a,join(b,c))).
% 13 [para:11.1.2,10.1.1.2] equal(meet(meet(X,Y),meet(Y,join(Z,X))),meet(X,Y)).
% 14 [para:10.1.1,11.1.2.1] equal(meet(join(X,Y),join(Z,X)),join(X,meet(Z,join(X,Y)))).
% 15 [para:10.1.1,11.1.2.2] equal(meet(join(X,Y),join(X,Z)),join(meet(Z,join(X,Y)),X)).
% 17 [para:10.1.1,13.1.1.2] equal(meet(meet(X,Y),Y),meet(X,Y)).
% 18 [para:10.1.1,14.1.2.2] equal(meet(join(X,Y),join(X,X)),join(X,X)).
% 19 [para:17.1.1,11.1.2.1,demod:11] equal(meet(X,join(Y,meet(Z,X))),meet(X,join(Y,Z))).
% 20 [para:17.1.1,11.1.2.2,demod:11] equal(meet(X,join(meet(Y,X),Z)),meet(X,join(Y,Z))).
% 22 [para:18.1.1,11.1.2.1] equal(meet(join(X,X),join(Y,join(X,Z))),join(join(X,X),meet(Y,join(X,X)))).
% 24 [para:11.1.2,18.1.1.1,demod:11] equal(meet(meet(X,join(Y,Z)),meet(X,join(Z,Z))),meet(X,join(Z,Z))).
% 28 [para:11.1.2,19.1.1.2,demod:20] equal(meet(X,meet(X,join(Y,Z))),meet(X,join(Z,Y))).
% 29 [para:19.1.1,14.1.2.2,demod:14] equal(meet(join(X,meet(Y,Z)),join(Z,X)),meet(join(X,Y),join(Z,X))).
% 32 [para:20.1.1,14.1.2.2] equal(meet(join(meet(X,Y),Z),join(Y,meet(X,Y))),join(meet(X,Y),meet(Y,join(X,Z)))).
% 36 [para:19.1.1,15.1.2.1,demod:15] equal(meet(join(X,meet(Y,Z)),join(X,Z)),meet(join(X,Y),join(X,Z))).
% 38 [para:10.1.1,28.1.1.2] equal(meet(X,X),meet(X,join(Y,X))).
% 41 [para:38.1.2,10.1.1] equal(meet(X,X),X).
% 42 [para:38.1.2,11.1.2.1,demod:41] equal(meet(join(X,Y),join(Z,Y)),join(Y,meet(Z,join(X,Y)))).
% 48 [para:38.1.2,15.1.2.1,demod:41] equal(join(X,Y),join(Y,X)).
% 50 [para:41.1.1,11.1.2.1,demod:41,38] equal(X,join(X,meet(Y,X))).
% 51 [para:41.1.1,11.1.2.2,demod:10] equal(X,join(meet(Y,X),X)).
% 52 [para:41.1.1,14.1.2.2,demod:10] equal(join(X,Y),join(X,join(X,Y))).
% 53 [para:41.1.1,15.1.2.1,demod:41,52] equal(join(X,Y),join(join(X,Y),X)).
% 54 [para:48.1.1,12.1.1] -equal(join(c,join(a,b)),join(a,join(b,c))).
% 65 [para:50.1.2,18.1.1.1,demod:41,38] equal(X,join(X,X)).
% 70 [para:38.1.2,50.1.2.2,demod:41] equal(join(X,Y),join(join(X,Y),Y)).
% 71 [para:65.1.2,11.1.2,demod:65] equal(meet(X,Y),meet(Y,X)).
% 79 [para:38.1.2,51.1.2.1,demod:41] equal(join(X,Y),join(Y,join(X,Y))).
% 86 [para:71.1.1,17.1.1.1] equal(meet(meet(X,Y),X),meet(Y,X)).
% 94 [para:71.1.1,28.1.1,demod:86] equal(meet(join(X,Y),Z),meet(Z,join(Y,X))).
% 96 [para:71.1.1,38.1.2,demod:41] equal(X,meet(join(Y,X),X)).
% 97 [para:71.1.1,50.1.2.2] equal(X,join(X,meet(X,Y))).
% 98 [para:71.1.1,51.1.2.1] equal(X,join(meet(X,Y),X)).
% 99 [para:48.1.1,54.1.1.2] -equal(join(c,join(b,a)),join(a,join(b,c))).
% 117 [para:98.1.2,22.1.1.2.2,demod:50,65,11] equal(meet(meet(X,Y),join(Z,Y)),meet(X,Y)).
% 135 [para:96.1.2,24.1.1.2,demod:96,65] equal(meet(meet(join(X,Y),join(Z,Y)),Y),Y).
% 194 [para:94.1.2,14.1.2.2] equal(meet(join(X,Y),join(Z,X)),join(X,meet(join(Y,X),Z))).
% 195 [para:94.1.2,15.1.2.1] equal(meet(join(X,Y),join(X,Z)),join(meet(join(Y,X),Z),X)).
% 203 [para:94.1.2,29.1.1] equal(meet(join(X,Y),join(X,meet(Z,Y))),meet(join(X,Z),join(Y,X))).
% 227 [para:117.1.1,15.1.2.1,demod:203] equal(meet(join(X,Y),join(Z,X)),join(meet(Y,Z),X)).
% 256 [para:135.1.1,97.1.2.2,demod:227,79,195] equal(meet(join(X,Y),join(Z,Y)),join(meet(X,Z),Y)).
% 260 [para:38.1.2,32.1.1.1.1,demod:53,194,227,70,38,41] equal(join(meet(X,Y),Z),meet(join(Z,Y),join(Z,X))).
% 547 [para:36.1.1,42.1.2.2,demod:260,10,256] equal(join(X,Y),join(Y,join(meet(Y,Z),X))).
% 557 [para:18.1.1,547.1.2.2.1,demod:65] equal(join(X,join(Y,Z)),join(join(Y,Z),join(Y,X))).
% 558 [para:547.1.2,48.1.1] equal(join(X,Y),join(join(meet(Y,Z),X),Y)).
% 576 [para:18.1.1,558.1.2.1.1,demod:557,65,slowcut:99] 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: 120
% derived clauses: 14527
% kept clauses: 562
% kept size sum: 8260
% kept mid-nuclei: 0
% kept new demods: 430
% forw unit-subs: 12081
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 1
% fast unit cutoff: 0
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 0.19
% process. runtime: 0.18
% 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/LAT/LAT007-1+eq_r.in")
%
%------------------------------------------------------------------------------