TSTP Solution File: LAT029-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : LAT029-1 : 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 : art01.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/LAT/LAT029-1+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: peq
%
% strategies selected:
% (hyper 30 #f 4 7)
% (binary-unit 12 #f)
% (binary-unit-uniteq 12 #f)
% (binary-posweight-kb-big-order 60 #f 4 7)
% (binary-posweight-lex-big-order 30 #f 4 7)
% (binary 30 #t)
% (binary-posweight-kb-big-order 156 #f)
% (binary-posweight-lex-big-order 102 #f)
% (binary-posweight-firstpref-order 60 #f)
% (binary-order 30 #f)
% (binary-posweight-kb-small-order 48 #f)
% (binary-posweight-lex-small-order 30 #f)
%
%
% SOS clause
% -equal(meet(a,a),a) | -equal(meet(b,a),meet(a,b)) | -equal(join(a,a),a) | -equal(join(b,a),join(a,b)).
% was split for some strategies as:
% -equal(meet(a,a),a).
% -equal(meet(b,a),meet(a,b)).
% -equal(join(a,a),a).
% -equal(join(b,a),join(a,b)).
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(7,40,0,14,0,0,91,50,6,98,0,6)
%
%
% START OF PROOF
% 92 [] equal(X,X).
% 93 [] equal(join(meet(X,Y),meet(X,join(X,Y))),X).
% 94 [] equal(join(meet(X,X),meet(Y,join(X,X))),X).
% 95 [] equal(join(meet(X,Y),meet(Y,join(X,Y))),Y).
% 96 [] equal(meet(meet(join(X,Y),join(Z,X)),X),X).
% 97 [] equal(join(join(meet(X,Y),meet(Z,X)),X),X).
% 98 [] -equal(join(b,a),join(a,b)) | -equal(meet(b,a),meet(a,b)) | -equal(join(a,a),a) | -equal(meet(a,a),a).
% 99 [para:93.1.1,93.1.1.2.2] equal(join(meet(meet(X,Y),meet(X,join(X,Y))),meet(meet(X,Y),X)),meet(X,Y)).
% 101 [para:95.1.1,93.1.1.2.2] equal(join(meet(meet(X,Y),meet(Y,join(X,Y))),meet(meet(X,Y),Y)),meet(X,Y)).
% 107 [para:95.1.1,96.1.1.1.1] equal(meet(meet(X,join(Y,meet(Z,X))),meet(Z,X)),meet(Z,X)).
% 114 [para:97.1.1,96.1.1.1.2] equal(meet(meet(join(X,Y),X),X),X).
% 115 [para:96.1.1,97.1.1.1.2] equal(join(join(meet(X,Y),X),X),X).
% 116 [para:93.1.1,114.1.1.1.1] equal(meet(meet(X,meet(X,Y)),meet(X,Y)),meet(X,Y)).
% 117 [para:95.1.1,114.1.1.1.1] equal(meet(meet(X,meet(Y,X)),meet(Y,X)),meet(Y,X)).
% 119 [para:115.1.1,93.1.1.2.2] equal(join(meet(join(meet(X,Y),X),X),meet(join(meet(X,Y),X),X)),join(meet(X,Y),X)).
% 120 [para:115.1.1,95.1.1.2.2] equal(join(meet(join(meet(X,Y),X),X),meet(X,X)),X).
% 124 [para:96.1.1,116.1.1.1.2,demod:96] equal(meet(X,X),X).
% 130 [para:124.1.1,94.1.1.2,demod:124] equal(join(X,join(X,X)),X).
% 131 [para:124.1.1,96.1.1.1] equal(meet(join(X,X),X),X).
% 136 [para:130.1.1,93.1.1.2.2,demod:124] equal(join(meet(X,join(X,X)),X),X).
% 137 [para:130.1.1,95.1.1.2.2,demod:136,131] equal(X,join(X,X)).
% 138 [para:130.1.1,96.1.1.1.1] equal(meet(meet(X,join(Y,X)),X),X).
% 139 [para:137.1.2,94.1.1.2.2,demod:124] equal(join(X,meet(Y,X)),X).
% 146 [para:115.1.1,101.1.1.1.2.2,demod:137,124] equal(meet(meet(join(meet(X,Y),X),X),X),meet(join(meet(X,Y),X),X)).
% 153 [para:117.1.1,115.1.1.1.1,demod:139] equal(meet(X,Y),meet(Y,meet(X,Y))).
% 157 [para:153.1.2,97.1.1.1.1] equal(join(join(meet(X,Y),meet(Z,Y)),Y),Y).
% 158 [para:153.1.2,99.1.1.1.1,demod:137,153,124,139] equal(meet(meet(X,Y),Y),meet(X,Y)).
% 160 [para:158.1.1,114.1.1] equal(meet(join(X,Y),X),X).
% 168 [para:115.1.1,160.1.1.1] equal(meet(X,join(meet(X,Y),X)),join(meet(X,Y),X)).
% 193 [para:120.1.1,93.1.1.2.2,demod:119,146,124] equal(join(meet(X,Y),X),meet(join(meet(X,Y),X),X)).
% 203 [para:168.1.1,138.1.1.1,demod:193] equal(join(meet(X,Y),X),X).
% 205 [para:203.1.1,93.1.1.2.2,demod:137] equal(meet(meet(X,Y),X),meet(X,Y)).
% 210 [para:205.1.1,94.1.1.2,demod:137,124] equal(join(X,meet(X,Y)),X).
% 213 [para:205.1.1,138.1.1] equal(meet(X,join(Y,X)),X).
% 214 [para:160.1.1,205.1.1.1,demod:160] equal(meet(X,join(X,Y)),X).
% 222 [para:210.1.1,107.1.1.1.2] equal(meet(meet(X,Y),meet(Y,X)),meet(Y,X)).
% 228 [para:213.1.1,157.1.1.1.1] equal(join(join(X,meet(Y,join(Z,X))),join(Z,X)),join(Z,X)).
% 251 [para:222.1.1,93.1.1.1,demod:214] equal(join(meet(X,Y),meet(Y,X)),meet(Y,X)).
% 253 [para:222.1.1,99.1.1.1.1,demod:124,222,251] equal(meet(X,Y),meet(Y,X)).
% 345 [para:214.1.1,228.1.1.1.2] equal(join(join(X,Y),join(Y,X)),join(Y,X)).
% 346 [para:345.1.1,93.1.1.2.2,demod:137] equal(meet(join(X,Y),join(Y,X)),join(X,Y)).
% 348 [para:345.1.1,114.1.1.1.1,demod:346] equal(join(X,Y),join(Y,X)).
% 358 [hyper:98,348,demod:124,137,cut:253,cut:92,cut:92] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using hyperresolution
% not using sos strategy
% using positive unit paramodulation strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% clause length limited to 7
% clause depth limited to 5
% seconds given: 10
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 188
% derived clauses: 14107
% kept clauses: 328
% kept size sum: 4790
% kept mid-nuclei: 6
% kept new demods: 336
% forw unit-subs: 12429
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 21
% fast unit cutoff: 3
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 0.20
% process. runtime: 0.18
% specific non-discr-tree subsumption statistics:
% tried: 4
% length fails: 0
% strength fails: 4
% 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/LAT029-1+eq_r.in")
%
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