TSTP Solution File: HEN005-1 by Gandalf---c-2.6
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% File : Gandalf---c-2.6
% Problem : HEN005-1 : TPTP v3.4.2. Bugfixed v1.2.1.
% 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/HEN005-1+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
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% detected problem class: heq
% detected subclass: medium
% detected subclass: long
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% strategies selected:
% (hyper 58 #f 2 11)
% (binary-posweight-order 29 #f 2 11)
% (binary-unit 29 #f 2 11)
% (binary-double 29 #f 2 11)
% (binary 29 #t 2 11)
% (hyper 29 #t)
% (hyper 105 #f)
% (binary-unit-uniteq 17 #f)
% (binary-weightorder 23 #f)
% (binary-posweight-order 70 #f)
% (binary-posweight-lex-big-order 29 #f)
% (binary-posweight-lex-small-order 11 #f)
% (binary-order 29 #f)
% (binary-unit 46 #f)
% (binary 67 #t)
%
%
% ********* EMPTY CLAUSE DERIVED *********
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%
% timer checkpoints: c(13,40,0,26,0,0,597,50,2,610,0,2)
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%
% START OF PROOF
% 599 [] quotient(X,Y,zero) | -less_equal(X,Y).
% 600 [] -quotient(X,Y,zero) | less_equal(X,Y).
% 602 [] -quotient(Z,U,X2) | -quotient(V,W,X1) | -quotient(Y,U,W) | -quotient(X,U,V) | -quotient(X,Y,Z) | less_equal(X1,X2).
% 603 [] less_equal(zero,X).
% 604 [] -less_equal(Y,X) | -less_equal(X,Y) | equal(X,Y).
% 606 [] quotient(X,Y,divide(X,Y)).
% 608 [] less_equal(x,y).
% 609 [] less_equal(y,z).
% 610 [] -less_equal(x,z).
% 611 [hyper:599,603] quotient(zero,X,zero).
% 617 [hyper:599,608] quotient(x,y,zero).
% 620 [hyper:599,609] quotient(y,z,zero).
% 1013 [hyper:602,606,617,611,606,620] less_equal(divide(divide(x,z),zero),zero).
% 2427 [hyper:604,1013,cut:603] equal(zero,divide(divide(x,z),zero)).
% 2428 [para:2427.1.2,606.1.3] quotient(divide(x,z),zero,zero).
% 2431 [hyper:600,2428] less_equal(divide(x,z),zero).
% 2739 [hyper:604,2431,cut:603] equal(zero,divide(x,z)).
% 2740 [para:2739.1.2,606.1.3] quotient(x,z,zero).
% 2741 [hyper:600,2740,cut:610] contradiction
% END OF PROOF
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% Proof found by the following strategy:
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% 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 11
% clause depth limited to 3
% seconds given: 58
%
%
% ***GANDALF_FOUND_A_REFUTATION***
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% Global statistics over all passes:
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% given clauses: 66
% derived clauses: 9013
% kept clauses: 86
% kept size sum: 648
% kept mid-nuclei: 2590
% kept new demods: 15
% forw unit-subs: 4843
% forw double-subs: 1045
% forw overdouble-subs: 0
% backward subs: 6
% fast unit cutoff: 13
% full unit cutoff: 13
% dbl unit cutoff: 0
% real runtime : 0.13
% process. runtime: 0.11
% specific non-discr-tree subsumption statistics:
% tried: 1643
% length fails: 0
% strength fails: 482
% predlist fails: 220
% aux str. fails: 941
% 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/HEN005-1+eq_r.in")
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