TSTP Solution File: LAT093-1 by Gandalf---c-2.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : LAT093-1 : 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 : art05.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/LAT093-1+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 11 1)
% (binary-posweight-lex-big-order 30 #f 11 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(3,40,0,6,0,0,6,50,0,9,0,0,10,50,5,13,0,5)
%
%
% START OF PROOF
% 12 [] equal(join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Z),meet(join(meet(X,join(join(meet(Y,U),meet(V,Y)),Y)),meet(join(meet(Y,meet(meet(join(Y,U),join(V,Y)),Y)),meet(W,join(Y,meet(meet(join(Y,U),join(V,Y)),Y)))),join(X,join(join(meet(Y,U),meet(V,Y)),Y)))),join(join(meet(X,Y),meet(Y,join(X,Y))),Z))),Y).
% 13 [] -equal(meet(b,a),meet(a,b)).
% 14 [para:12.1.1,12.1.1.2.1.2.1] equal(join(meet(join(meet(X,join(meet(Y,Z),meet(Z,join(Y,Z)))),meet(join(meet(Y,Z),meet(Z,join(Y,Z))),join(X,join(meet(Y,Z),meet(Z,join(Y,Z)))))),U),meet(join(meet(X,join(join(meet(join(meet(Y,Z),meet(Z,join(Y,Z))),V),meet(W,join(meet(Y,Z),meet(Z,join(Y,Z))))),join(meet(Y,Z),meet(Z,join(Y,Z))))),meet(Z,join(X,join(join(meet(join(meet(Y,Z),meet(Z,join(Y,Z))),V),meet(W,join(meet(Y,Z),meet(Z,join(Y,Z))))),join(meet(Y,Z),meet(Z,join(Y,Z))))))),join(join(meet(X,join(meet(Y,Z),meet(Z,join(Y,Z)))),meet(join(meet(Y,Z),meet(Z,join(Y,Z))),join(X,join(meet(Y,Z),meet(Z,join(Y,Z)))))),U))),join(meet(Y,Z),meet(Z,join(Y,Z)))).
% 15 [para:12.1.1,14.1.1.1.1.1.2,demod:12] equal(join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Z),meet(join(meet(X,join(join(meet(Y,U),meet(V,Y)),Y)),meet(join(meet(W,join(join(meet(Y,X1),meet(X2,Y)),Y)),meet(join(meet(Y,meet(meet(join(Y,X1),join(X2,Y)),Y)),meet(X3,join(Y,meet(meet(join(Y,X1),join(X2,Y)),Y)))),join(W,join(join(meet(Y,X1),meet(X2,Y)),Y)))),join(X,join(join(meet(Y,U),meet(V,Y)),Y)))),join(join(meet(X,Y),meet(Y,join(X,Y))),Z))),Y).
% 16 [para:12.1.1,15.1.1.2.1] equal(join(meet(join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Y),meet(Y,join(join(meet(X,Y),meet(Y,join(X,Y))),Y))),Z),meet(Y,join(join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Y),meet(Y,join(join(meet(X,Y),meet(Y,join(X,Y))),Y))),Z))),Y).
% 17 [para:16.1.1,12.1.1.1.1,demod:16] equal(join(meet(X,Y),meet(join(meet(join(meet(join(meet(Z,X),meet(X,join(Z,X))),X),meet(X,join(join(meet(Z,X),meet(X,join(Z,X))),X))),join(join(meet(X,U),meet(V,X)),X)),meet(join(meet(X,meet(meet(join(X,U),join(V,X)),X)),meet(W,join(X,meet(meet(join(X,U),join(V,X)),X)))),join(join(meet(join(meet(Z,X),meet(X,join(Z,X))),X),meet(X,join(join(meet(Z,X),meet(X,join(Z,X))),X))),join(join(meet(X,U),meet(V,X)),X)))),join(X,Y))),X).
% 18 [para:16.1.1,14.1.1.1.1.1.2,demod:16] equal(join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Z),meet(join(meet(X,join(join(meet(Y,U),meet(V,Y)),Y)),meet(Y,join(X,join(join(meet(Y,U),meet(V,Y)),Y)))),join(join(meet(X,Y),meet(Y,join(X,Y))),Z))),Y).
% 21 [para:16.1.1,15.1.1.2.1.2.1] equal(join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Z),meet(join(meet(X,join(join(meet(Y,U),meet(V,Y)),Y)),meet(join(meet(Y,meet(meet(join(Y,W),join(X1,Y)),Y)),meet(X2,join(Y,meet(meet(join(Y,W),join(X1,Y)),Y)))),join(X,join(join(meet(Y,U),meet(V,Y)),Y)))),join(join(meet(X,Y),meet(Y,join(X,Y))),Z))),Y).
% 22 [para:16.1.1,16.1.1.1.1,demod:16] equal(join(meet(X,Y),meet(X,join(X,Y))),X).
% 25 [para:22.1.1,12.1.1.2.1] equal(join(meet(join(meet(join(meet(X,meet(meet(join(X,Y),join(Z,X)),X)),meet(U,join(X,meet(meet(join(X,Y),join(Z,X)),X)))),X),meet(X,join(join(meet(X,meet(meet(join(X,Y),join(Z,X)),X)),meet(U,join(X,meet(meet(join(X,Y),join(Z,X)),X)))),X))),V),meet(join(meet(X,meet(meet(join(X,Y),join(Z,X)),X)),meet(U,join(X,meet(meet(join(X,Y),join(Z,X)),X)))),join(join(meet(join(meet(X,meet(meet(join(X,Y),join(Z,X)),X)),meet(U,join(X,meet(meet(join(X,Y),join(Z,X)),X)))),X),meet(X,join(join(meet(X,meet(meet(join(X,Y),join(Z,X)),X)),meet(U,join(X,meet(meet(join(X,Y),join(Z,X)),X)))),X))),V))),X).
% 34 [para:22.1.1,15.1.1.2.1.2.1.2.1] equal(join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Z),meet(join(meet(X,join(join(meet(Y,U),meet(V,Y)),Y)),meet(join(meet(W,join(join(meet(Y,X1),meet(X2,Y)),Y)),meet(Y,join(W,join(join(meet(Y,X1),meet(X2,Y)),Y)))),join(X,join(join(meet(Y,U),meet(V,Y)),Y)))),join(join(meet(X,Y),meet(Y,join(X,Y))),Z))),Y).
% 37 [para:22.1.1,22.1.1.2.2] equal(join(meet(meet(X,Y),meet(X,join(X,Y))),meet(meet(X,Y),X)),meet(X,Y)).
% 49 [para:12.1.1,18.1.1.1.1,demod:22,21] equal(X,join(meet(Y,join(join(meet(X,Z),meet(U,X)),X)),meet(join(meet(X,meet(meet(join(X,Z),join(U,X)),X)),meet(V,join(X,meet(meet(join(X,Z),join(U,X)),X)))),join(Y,join(join(meet(X,Z),meet(U,X)),X))))).
% 51 [para:14.1.1,18.1.1.1.1,demod:22,14] equal(join(meet(X,Y),meet(Y,join(X,Y))),join(meet(Z,join(join(meet(join(meet(X,Y),meet(Y,join(X,Y))),U),meet(V,join(meet(X,Y),meet(Y,join(X,Y))))),join(meet(X,Y),meet(Y,join(X,Y))))),meet(Y,join(Z,join(join(meet(join(meet(X,Y),meet(Y,join(X,Y))),U),meet(V,join(meet(X,Y),meet(Y,join(X,Y))))),join(meet(X,Y),meet(Y,join(X,Y)))))))).
% 52 [para:18.1.1,15.1.1.1.1,demod:22,18,49] equal(X,join(meet(Y,join(join(meet(X,Z),meet(U,X)),X)),meet(X,join(Y,join(join(meet(X,Z),meet(U,X)),X))))).
% 54 [para:18.1.1,15.1.1.2.1.2.1.2.1,demod:52,51] equal(join(meet(join(meet(X,join(meet(Y,Z),meet(Z,join(Y,Z)))),meet(join(meet(Y,Z),meet(Z,join(Y,Z))),join(X,join(meet(Y,Z),meet(Z,join(Y,Z)))))),U),meet(join(meet(Y,Z),meet(Z,join(Y,Z))),join(join(meet(X,join(meet(Y,Z),meet(Z,join(Y,Z)))),meet(join(meet(Y,Z),meet(Z,join(Y,Z))),join(X,join(meet(Y,Z),meet(Z,join(Y,Z)))))),U))),join(meet(Y,Z),meet(Z,join(Y,Z)))).
% 69 [para:52.1.2,18.1.1.2.1] equal(join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Z),meet(Y,join(join(meet(X,Y),meet(Y,join(X,Y))),Z))),Y).
% 70 [para:12.1.1,17.1.1.2.1.2.1,demod:69,54] equal(X,join(meet(Y,X),meet(X,join(Y,X)))).
% 79 [para:12.1.1,70.1.2.2.2,demod:70,49] equal(meet(X,join(X,Y)),join(meet(meet(X,Y),meet(X,join(X,Y))),meet(meet(X,join(X,Y)),X))).
% 82 [para:70.1.2,22.1.1.2.2] equal(join(meet(meet(X,Y),meet(Y,join(X,Y))),meet(meet(X,Y),Y)),meet(X,Y)).
% 120 [para:69.1.1,12.1.1.2.1,demod:70] equal(join(meet(X,Y),meet(join(meet(X,meet(meet(join(X,Z),join(U,X)),X)),meet(V,join(X,meet(meet(join(X,Z),join(U,X)),X)))),join(X,Y))),X).
% 170 [para:70.1.2,120.1.1.2.1] equal(join(meet(X,Y),meet(meet(meet(join(X,Z),join(U,X)),X),join(X,Y))),X).
% 198 [para:170.1.1,52.1.2] equal(meet(meet(join(X,Y),join(Z,X)),X),X).
% 220 [para:12.1.1,198.1.1.1.1,demod:70] equal(meet(meet(X,join(Y,meet(X,Z))),meet(X,Z)),meet(X,Z)).
% 247 [para:198.1.1,70.1.2.1] equal(X,join(X,meet(X,join(meet(join(X,Y),join(Z,X)),X)))).
% 248 [para:70.1.2,198.1.1.1.1] equal(meet(meet(X,join(Y,meet(Z,X))),meet(Z,X)),meet(Z,X)).
% 275 [para:70.1.2,220.1.1.1.2] equal(meet(meet(X,X),meet(X,join(Y,X))),meet(X,join(Y,X))).
% 307 [para:247.1.2,198.1.1.1.1] equal(meet(meet(X,join(Y,X)),X),X).
% 329 [para:70.1.2,307.1.1.1.2,demod:307] equal(meet(X,meet(X,join(Y,X))),meet(X,join(Y,X))).
% 333 [para:307.1.1,79.1.2.2,demod:275] equal(meet(X,join(X,X)),join(meet(X,join(X,X)),X)).
% 344 [para:307.1.1,220.1.1.1.2.2,demod:307] equal(meet(meet(meet(X,join(Y,X)),join(Z,X)),X),X).
% 412 [para:333.1.2,82.1.1.1.2.2,demod:329,307] equal(join(meet(X,join(X,X)),meet(X,X)),X).
% 419 [para:333.1.2,198.1.1.1.2] equal(meet(meet(join(X,Y),meet(X,join(X,X))),X),X).
% 557 [para:25.1.1,52.1.2,demod:198] equal(join(meet(X,X),meet(Y,join(X,X))),X).
% 568 [para:557.1.1,52.1.2] equal(X,join(join(meet(X,Y),meet(Z,X)),X)).
% 626 [para:198.1.1,568.1.2.1.2] equal(X,join(join(meet(X,Y),X),X)).
% 635 [para:412.1.1,568.1.2.1] equal(X,join(X,X)).
% 638 [para:568.1.2,344.1.1.1.2,demod:307] equal(meet(X,X),X).
% 655 [para:635.1.2,557.1.1.2.2,demod:638] equal(join(X,meet(Y,X)),X).
% 698 [para:626.1.2,22.1.1.2.2,demod:635] equal(meet(join(meet(X,Y),X),X),join(meet(X,Y),X)).
% 709 [para:419.1.1,626.1.2.1.1,demod:655,638,635] equal(meet(join(X,Y),X),X).
% 733 [para:52.1.2,709.1.1.1,demod:568] equal(meet(X,meet(Y,X)),meet(Y,X)).
% 823 [?] ?
% 836 [para:307.1.1,698.1.1.1.1,demod:307,823] equal(meet(X,join(Y,X)),join(X,meet(X,join(Y,X)))).
% 844 [para:329.1.1,34.1.1.1,demod:635,329,836,568,70] equal(meet(X,join(Y,X)),X).
% 861 [para:844.1.1,733.1.1.2,demod:844] equal(meet(join(X,Y),Y),Y).
% 865 [para:861.1.1,698.1.1] equal(X,join(meet(X,Y),X)).
% 866 [para:865.1.2,22.1.1.2.2,demod:635] equal(meet(meet(X,Y),X),meet(X,Y)).
% 882 [para:866.1.1,557.1.1.2,demod:635,638] equal(join(X,meet(X,Y)),X).
% 884 [para:709.1.1,866.1.1.1,demod:709] equal(meet(X,join(X,Y)),X).
% 1068 [para:882.1.1,248.1.1.1.2] equal(meet(meet(X,Y),meet(Y,X)),meet(Y,X)).
% 1078 [para:1068.1.1,22.1.1.1,demod:884] equal(join(meet(X,Y),meet(Y,X)),meet(Y,X)).
% 1080 [para:1068.1.1,37.1.1.1.1,demod:638,1068,1078,slowcut:13] 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 13
% seconds given: 60
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 131
% derived clauses: 51599
% kept clauses: 1066
% kept size sum: 61546
% kept mid-nuclei: 0
% kept new demods: 1069
% forw unit-subs: 49752
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 22
% fast unit cutoff: 0
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 5.20
% process. runtime: 5.20
% 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/LAT093-1+eq_r.in")
%
%------------------------------------------------------------------------------