TSTP Solution File: LAT038-1 by Gandalf---c-2.6
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% File : Gandalf---c-2.6
% Problem : LAT038-1 : TPTP v3.4.2. Released v2.4.0.
% Transfm : add_equality:r
% Format : otter:hypothesis:set(auto),clear(print_given)
% Command : gandalf-wrapper -time %d %s
% Computer : art06.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 :
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%----NO SOLUTION OUTPUT BY SYSTEM
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%----ORIGINAL SYSTEM OUTPUT
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% Gandalf c-2.6 r1 starting to prove: /home/graph/tptp/TSTP/PreparedTPTP/otter:hypothesis:set(auto),clear(print_given)---add_equality:r/LAT/LAT038-1+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: ueq
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% 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 *********
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%
% timer checkpoints: c(18,40,1,36,0,1,93,50,7,111,0,7)
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%
% START OF PROOF
% 94 [] equal(X,X).
% 95 [] equal(meet(X,X),X).
% 97 [] equal(meet(X,join(X,Y)),X).
% 98 [] equal(join(X,meet(X,Y)),X).
% 99 [] equal(meet(X,Y),meet(Y,X)).
% 100 [] equal(join(X,Y),join(Y,X)).
% 103 [] equal(f(join(X,Y),Z),join(f(X,Z),f(Y,Z))).
% 108 [] equal(meet(X,join(Y,Z)),join(meet(X,Y),meet(X,Z))).
% 109 [] equal(f(join(aa,bb),dd),f(join(cc,bb),dd)).
% 110 [] equal(meet(f(aa,dd),f(bb,dd)),meet(f(cc,dd),f(bb,dd))).
% 111 [] -equal(f(aa,dd),f(cc,dd)).
% 119 [para:100.1.1,98.1.1] equal(join(meet(X,Y),X),X).
% 123 [para:99.1.1,108.1.2.1] equal(meet(X,join(Y,Z)),join(meet(Y,X),meet(X,Z))).
% 145 [para:100.1.1,109.1.1.1] equal(f(join(bb,aa),dd),f(join(cc,bb),dd)).
% 157 [para:110.1.1,108.1.2.1] equal(meet(f(aa,dd),join(f(bb,dd),X)),join(meet(f(cc,dd),f(bb,dd)),meet(f(aa,dd),X))).
% 158 [para:110.1.1,108.1.2.2] equal(meet(f(aa,dd),join(X,f(bb,dd))),join(meet(f(aa,dd),X),meet(f(cc,dd),f(bb,dd)))).
% 159 [para:110.1.1,119.1.1.1] equal(join(meet(f(cc,dd),f(bb,dd)),f(aa,dd)),f(aa,dd)).
% 229 [para:103.1.2,97.1.1.2] equal(meet(f(X,Y),f(join(X,Z),Y)),f(X,Y)).
% 744 [para:95.1.1,157.1.2.2,demod:159,145,103] equal(meet(f(aa,dd),f(join(cc,bb),dd)),f(aa,dd)).
% 774 [para:158.1.2,123.1.2,demod:744,229,109,103] equal(f(cc,dd),f(aa,dd)).
% 775 [para:774.1.2,111.1.1,cut:94] 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: 202
% derived clauses: 24240
% kept clauses: 720
% kept size sum: 10898
% kept mid-nuclei: 0
% kept new demods: 473
% forw unit-subs: 15701
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 0
% fast unit cutoff: 1
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 0.28
% process. runtime: 0.26
% 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/LAT038-1+eq_r.in")
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