TSTP Solution File: HEN007-3 by Gandalf---c-2.6
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% File : Gandalf---c-2.6
% Problem : HEN007-3 : TPTP v3.4.2. Released v1.0.0.
% 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/HEN/HEN007-3+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: heq
% detected subclass: small
% detected subclass: short
%
% strategies selected:
% (binary-unit-uniteq 30 #f)
% (binary-posweight-order 120 #f 3 5)
% (binary-posweight-order 240 #f)
% (binary-posweight-lex-big-order 60 #f)
% (binary-posweight-lex-small-order 12 #f)
% (binary-weightorder 24 #f)
% (hyper 30 #f)
% (binary 24 #t)
% (binary-order 30 #f)
% (binary-unit 30 #f)
%
%
% **** EMPTY CLAUSE DERIVED ****
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%
% timer checkpoints: c(10,40,0,20,0,0)
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%
% START OF PROOF
% 12 [] equal(divide(X,Y),zero) | -less_equal(X,Y).
% 13 [] -equal(divide(X,Y),zero) | less_equal(X,Y).
% 14 [] less_equal(divide(X,Y),X).
% 15 [] less_equal(divide(divide(X,Y),divide(Z,Y)),divide(divide(X,Z),Y)).
% 16 [] less_equal(zero,X).
% 17 [] -less_equal(Y,X) | -less_equal(X,Y) | equal(X,Y).
% 19 [] less_equal(a,b).
% 20 [] -less_equal(divide(c,b),divide(c,a)).
% 22 [binary:16,12.2] equal(divide(zero,X),zero).
% 24 [binary:19,12.2] equal(divide(a,b),zero).
% 25 [binary:14,12.2] equal(divide(divide(X,Y),X),zero).
% 27 [binary:20,13.2] -equal(divide(divide(c,b),divide(c,a)),zero).
% 41 [binary:12.2,15] equal(divide(divide(divide(X,Y),divide(Z,Y)),divide(divide(X,Z),Y)),zero).
% 46 [para:25.1.1,15.1.1.2] less_equal(divide(divide(X,Y),zero),divide(divide(X,divide(Y,Z)),Y)).
% 60 [binary:17.3,27,cut:16] -less_equal(divide(divide(c,b),divide(c,a)),zero).
% 80 [binary:13.2,60] -equal(divide(divide(divide(c,b),divide(c,a)),zero),zero).
% 91 [para:22.1.1,41.1.1.1.2] equal(divide(divide(divide(X,Y),zero),divide(divide(X,zero),Y)),zero).
% 92 [para:24.1.1,41.1.1.1.2] equal(divide(divide(divide(X,b),zero),divide(divide(X,a),b)),zero).
% 272 [binary:17.3,80,cut:16] -less_equal(divide(divide(divide(c,b),divide(c,a)),zero),zero).
% 275 [binary:13.2,272] -equal(divide(divide(divide(divide(c,b),divide(c,a)),zero),zero),zero).
% 338 [para:91.1.1,15.1.2,demod:22] less_equal(divide(divide(divide(X,Y),divide(divide(X,zero),Y)),zero),zero).
% 426 [binary:17,338,cut:16] equal(zero,divide(divide(divide(X,Y),divide(divide(X,zero),Y)),zero)).
% 487 [para:92.1.1,46.1.2.1,demod:22] less_equal(divide(divide(divide(divide(X,b),zero),divide(X,a)),zero),zero).
% 490 [para:426.1.2,15.1.2] less_equal(divide(divide(divide(X,Y),zero),divide(divide(divide(X,zero),Y),zero)),zero).
% 1241 [binary:17,487,cut:16] equal(zero,divide(divide(divide(divide(X,b),zero),divide(X,a)),zero)).
% 2363 [binary:17.3,275,cut:16] -less_equal(divide(divide(divide(divide(c,b),divide(c,a)),zero),zero),zero).
% 4903 [para:1241.1.2,490.1.1.2,slowcut:2363] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% not using sos strategy
% using unit paramodulation strategy
% using unit strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% using clause demodulation
% seconds given: 30
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 355
% derived clauses: 110199
% kept clauses: 4862
% kept size sum: 111154
% kept mid-nuclei: 0
% kept new demods: 2447
% forw unit-subs: 105317
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 1
% fast unit cutoff: 113
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 1.42
% process. runtime: 1.41
% 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/HEN/HEN007-3+eq_r.in")
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