TSTP Solution File: LAT156-1 by Gandalf---c-2.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : LAT156-1 : TPTP v3.4.2. Released v3.1.0.
% Transfm : add_equality:r
% Format : otter:hypothesis:set(auto),clear(print_given)
% Command : gandalf-wrapper -time %d %s
% Computer : art08.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 59.2s
% Output : Assurance 59.2s
% 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/LAT156-1+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 6 1)
% (binary-posweight-lex-big-order 30 #f 6 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(11,40,1,22,0,1,32919,3,3015,43633,4,4507,49592,5,6002,49592,1,6002,49592,50,6005,49592,40,6005,49603,0,6005)
%
%
% START OF PROOF
% 49595 [] equal(join(X,X),X).
% 49596 [] equal(meet(X,join(X,Y)),X).
% 49597 [] equal(join(X,meet(X,Y)),X).
% 49598 [] equal(meet(X,Y),meet(Y,X)).
% 49599 [] equal(join(X,Y),join(Y,X)).
% 49600 [] equal(meet(meet(X,Y),Z),meet(X,meet(Y,Z))).
% 49601 [] equal(join(join(X,Y),Z),join(X,join(Y,Z))).
% 49602 [] equal(meet(X,join(Y,meet(Z,join(X,U)))),meet(X,join(Y,join(meet(X,Z),meet(Z,join(Y,U)))))).
% 49603 [] -equal(meet(a,join(b,meet(a,c))),meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b))))).
% 49604 [para:49598.1.1,49596.1.1] equal(meet(join(X,Y),X),X).
% 49605 [para:49598.1.1,49597.1.1.2] equal(join(X,meet(Y,X)),X).
% 49609 [para:49598.1.1,49603.1.2.2.1] -equal(meet(a,join(b,meet(a,c))),meet(a,join(meet(join(b,meet(a,c)),a),meet(c,join(a,b))))).
% 49612 [para:49599.1.1,49596.1.1.2] equal(meet(X,join(Y,X)),X).
% 49613 [para:49599.1.1,49597.1.1] equal(join(meet(X,Y),X),X).
% 49618 [para:49604.1.1,49597.1.1.2,demod:49601] equal(join(X,join(Y,X)),join(X,Y)).
% 49619 [para:49599.1.1,49604.1.1.1] equal(meet(join(X,Y),Y),Y).
% 49620 [para:49605.1.1,49599.1.1] equal(X,join(meet(Y,X),X)).
% 49633 [para:49596.1.1,49600.1.1.1] equal(meet(X,Y),meet(X,meet(join(X,Z),Y))).
% 49635 [para:49600.1.1,49598.1.1] equal(meet(X,meet(Y,Z)),meet(Z,meet(X,Y))).
% 49637 [para:49598.1.1,49600.1.1.1,demod:49600] equal(meet(X,meet(Y,Z)),meet(Y,meet(X,Z))).
% 49639 [para:49600.1.1,49605.1.1.2] equal(join(X,meet(Y,meet(Z,X))),X).
% 49640 [para:49597.1.1,49612.1.1.2,demod:49600] equal(meet(X,meet(Y,X)),meet(X,Y)).
% 49646 [para:49600.1.1,49620.1.2.1] equal(X,join(meet(Y,meet(Z,X)),X)).
% 49647 [para:49618.1.1,49612.1.1.2] equal(meet(join(X,Y),join(Y,X)),join(X,Y)).
% 49657 [para:49601.1.1,49612.1.1.2] equal(meet(X,join(Y,join(Z,X))),X).
% 49659 [para:49601.1.1,49619.1.1.1] equal(meet(join(X,join(Y,Z)),Z),Z).
% 49665 [para:49596.1.1,49639.1.1.2.2,demod:49601] equal(join(X,join(Y,meet(Z,X))),join(X,Y)).
% 49671 [para:49640.1.1,49605.1.1.2] equal(join(meet(X,Y),meet(Y,X)),meet(X,Y)).
% 49685 [para:49595.1.1,49602.1.2.2.2.2.2,demod:49665] equal(meet(X,join(Y,meet(Z,join(X,Y)))),meet(X,join(Y,meet(X,Z)))).
% 49686 [para:49596.1.1,49602.1.2.2.2.1] equal(meet(X,join(Y,meet(join(X,Z),join(X,U)))),meet(X,join(Y,join(X,meet(join(X,Z),join(Y,U)))))).
% 49689 [para:49598.1.1,49602.1.2.2.2.1] equal(meet(X,join(Y,meet(Z,join(X,U)))),meet(X,join(Y,join(meet(Z,X),meet(Z,join(Y,U)))))).
% 49691 [para:49599.1.1,49602.1.2.2,demod:49601] equal(meet(X,join(Y,meet(Z,join(X,U)))),meet(X,join(meet(X,Z),join(meet(Z,join(Y,U)),Y)))).
% 49694 [para:49605.1.1,49602.1.2.2.2.2.2,demod:49665] equal(meet(X,join(Y,meet(Z,join(X,meet(U,Y))))),meet(X,join(Y,meet(X,Z)))).
% 49695 [para:49612.1.1,49602.1.2.2.2.1] equal(meet(X,join(Y,meet(join(Z,X),join(X,U)))),meet(X,join(Y,join(X,meet(join(Z,X),join(Y,U)))))).
% 49697 [para:49619.1.1,49602.1.2.2.2.1,demod:49597,49601] equal(meet(join(X,Y),join(Z,meet(Y,join(X,join(Y,U))))),meet(join(X,Y),join(Z,Y))).
% 49707 [para:49612.1.1,49646.1.2.1.2] equal(join(X,Y),join(meet(Z,Y),join(X,Y))).
% 49719 [para:49599.1.1,49659.1.1.1,demod:49601] equal(meet(join(X,join(Y,Z)),Y),Y).
% 49752 [para:49599.1.1,49609.1.1.2] -equal(meet(a,join(meet(a,c),b)),meet(a,join(meet(join(b,meet(a,c)),a),meet(c,join(a,b))))).
% 49757 [para:49598.1.1,49633.1.2.2] equal(meet(X,Y),meet(X,meet(Y,join(X,Z)))).
% 49779 [para:49635.1.1,49619.1.1] equal(meet(X,meet(join(Y,meet(Z,X)),Z)),meet(Z,X)).
% 49803 [para:49637.1.1,49620.1.2.1] equal(meet(X,Y),join(meet(X,meet(Z,Y)),meet(X,Y))).
% 49844 [para:49647.1.1,49639.1.1.2.2,demod:49601] equal(join(X,join(Y,meet(Z,join(Y,X)))),join(X,Y)).
% 49848 [para:49647.1.1,49635.1.1.2] equal(meet(X,join(Y,Z)),meet(join(Z,Y),meet(X,join(Y,Z)))).
% 49849 [para:49647.1.1,49637.1.1.2,demod:49848] equal(meet(X,join(Y,Z)),meet(X,join(Z,Y))).
% 49971 [para:49671.1.1,49657.1.1.2.2,demod:49600] equal(meet(X,meet(Y,join(Z,meet(Y,X)))),meet(X,Y)).
% 51085 [para:49779.1.1,49707.1.2.1] equal(join(X,meet(join(Y,meet(Z,U)),Z)),join(meet(Z,U),join(X,meet(join(Y,meet(Z,U)),Z)))).
% 51843 [para:49686.1.2,49598.1.1,demod:49719] equal(meet(X,join(Y,meet(join(X,Z),join(X,U)))),X).
% 51844 [para:49599.1.1,49686.1.2.2.2.2.1,demod:49695,51843] equal(X,meet(X,join(Y,meet(join(Z,X),join(X,U))))).
% 52075 [para:49971.1.1,49803.1.2.1] equal(meet(X,join(Y,meet(Z,X))),join(meet(X,Z),meet(X,join(Y,meet(Z,X))))).
% 52095 [para:49605.1.1,49689.1.2.2.2.2.2,demod:49665] equal(meet(X,join(Y,meet(Z,join(X,meet(U,Y))))),meet(X,join(Y,meet(Z,X)))).
% 52654 [para:49599.1.1,51844.1.2.2.2.2] equal(X,meet(X,join(Y,meet(join(Z,X),join(U,X))))).
% 52907 [para:49694.1.2,49685.1.1.2.2,demod:49757,52075,52095] equal(meet(X,Y),meet(X,join(meet(Y,Z),meet(X,Y)))).
% 52985 [para:52654.1.2,49844.1.1.2.2] equal(join(meet(join(X,Y),join(Z,Y)),join(U,Y)),join(meet(join(X,Y),join(Z,Y)),U)).
% 53185 [para:49598.1.1,52907.1.2.2.1] equal(meet(X,Y),meet(X,join(meet(Z,Y),meet(X,Y)))).
% 53243 [para:49697.1.1,49613.1.1.1,demod:52985] equal(join(meet(join(X,Y),join(Z,Y)),X),join(X,Y)).
% 53409 [para:49598.1.1,53185.1.2.2.2] equal(meet(X,Y),meet(X,join(meet(Z,Y),meet(Y,X)))).
% 53883 [para:49597.1.1,53243.1.1.1.2] equal(join(meet(join(X,meet(Y,Z)),Y),X),join(X,meet(Y,Z))).
% 54443 [para:49691.1.1,49752.1.2,demod:53409,51085,53883,cut:49849] 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 lex ordering for equality
% preferring bigger arities for lex ordering
% using clause demodulation
% clause length limited to 1
% clause depth limited to 6
% seconds given: 30
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 949
% derived clauses: 939869
% kept clauses: 54401
% kept size sum: 102263
% kept mid-nuclei: 0
% kept new demods: 36472
% forw unit-subs: 718831
% 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 : 62.68
% process. runtime: 61.82
% 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/LAT156-1+eq_r.in")
%
%------------------------------------------------------------------------------