TSTP Solution File: HEN003-2 by Gandalf---c-2.6
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% File : Gandalf---c-2.6
% Problem : HEN003-2 : 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 : 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 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/HEN003-2+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)
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%
% **** EMPTY CLAUSE DERIVED ****
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%
% timer checkpoints: c(13,40,1,26,0,1,356,50,2,369,0,2)
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%
% START OF PROOF
% 358 [] quotient(X,Y,zero) | -less_equal(X,Y).
% 359 [] -quotient(X,Y,zero) | less_equal(X,Y).
% 360 [] -quotient(X,Y,Z) | less_equal(Z,X).
% 361 [] -quotient(Z,U,X2) | -quotient(V,W,X1) | -quotient(Y,U,W) | -quotient(X,U,V) | -quotient(X,Y,Z) | less_equal(X1,X2).
% 362 [] less_equal(zero,X).
% 363 [] -less_equal(X,Y) | -less_equal(Y,X) | equal(Y,X).
% 365 [] quotient(X,Y,divide(X,Y)).
% 368 [] quotient(zero,X,zero).
% 369 [] -quotient(x,x,zero).
% 406 [hyper:360,365] less_equal(divide(X,Y),X).
% 704 [hyper:358,406] quotient(divide(X,Y),X,zero).
% 720 [hyper:361,704,365,365,365,368] less_equal(divide(divide(X,X),zero),zero).
% 803 [hyper:363,720,cut:362] equal(zero,divide(divide(X,X),zero)).
% 804 [para:803.1.2,365.1.3] quotient(divide(X,X),zero,zero).
% 1016 [hyper:359,804] less_equal(divide(X,X),zero).
% 1251 [hyper:363,1016,cut:362] equal(zero,divide(X,X)).
% 1253 [para:1251.1.2,365.1.3,slowcut:369] 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: 39
% derived clauses: 3535
% kept clauses: 38
% kept size sum: 296
% kept mid-nuclei: 1144
% kept new demods: 7
% forw unit-subs: 1705
% forw double-subs: 390
% forw overdouble-subs: 0
% backward subs: 1
% fast unit cutoff: 6
% full unit cutoff: 20
% dbl unit cutoff: 0
% real runtime : 0.6
% process. runtime: 0.5
% specific non-discr-tree subsumption statistics:
% tried: 747
% length fails: 0
% strength fails: 193
% predlist fails: 73
% aux str. fails: 481
% 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/HEN003-2+eq_r.in")
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