TSTP Solution File: ANA003-4 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : ANA003-4 : 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 : art09.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 348.3s
% Output : Assurance 348.3s
% 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/ANA/ANA003-4+noeq.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: nne
% detected subclass: medium
%
% strategies selected:
% (hyper 27 #f 6 5)
% (binary-unit 10 #f 6 5)
% (binary-double 16 #f 6 5)
% (binary 54 #t 6 5)
% (binary-order 27 #f 6 5)
% (binary-posweight-order 125 #f)
% (binary-order-sos 54 #t)
% (binary-unit-uniteq 27 #f)
% (binary-weightorder 54 #f)
% (binary-order 54 #f)
% (hyper-order 43 #f)
% (binary 109 #t)
%
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(12,40,0,24,0,0,2486,50,37,2498,0,37,26124,4,1998,61844,5,2638,61844,1,2638,61844,50,2639,61844,40,2639,61856,0,2639,120988,3,3140,130818,4,3390,130914,5,4743,130915,1,4743,130915,50,4749,130915,40,4749,130927,0,4749,217771,3,5551,225995,4,5950,226047,5,6746,226048,5,6747,226048,1,6747,226048,50,6754,226048,40,6754,226060,0,6754,463638,3,9481,541506,4,10805,541558,5,12259,541559,5,12260,541560,1,12260,541560,50,12267,541560,40,12267,541572,0,12267,572649,3,13647,573620,4,14293,574573,1,14968,574573,50,14969,574573,40,14969,574585,0,14969,754044,3,21220,757558,4,24346,765610,1,27470,765610,50,27473,765610,40,27473,765622,0,27473,802193,3,30174,806738,4,31524,833929,62,32874,833930,1,32875,833930,50,32879,833930,40,32879,833942,0,32879,997140,3,34230,1047580,4,34906,1049622,62,35581,1049622,5,35582,1049623,1,35582,1049623,50,35589,1049623,40,35589,1049635,0,35589)
%
%
% START OF PROOF
% 1049624 [] -less_or_equal(X,minimum(Y,Z)) | less_or_equal(X,Y).
% 1049625 [] -less_or_equal(X,minimum(Y,Z)) | less_or_equal(X,Z).
% 1049626 [] -less_or_equal(minimum(X,Y),n0) | less_or_equal(Y,n0) | less_or_equal(X,n0).
% 1049627 [] less_or_equal(add(X,Y),Z) | -less_or_equal(Y,half(Z)) | -less_or_equal(X,half(Z)).
% 1049628 [] -less_or_equal(half(X),n0) | less_or_equal(X,n0).
% 1049629 [] -less_or_equal(delta_1(X),n0) | less_or_equal(X,n0).
% 1049630 [] -less_or_equal(delta_2(X),n0) | less_or_equal(X,n0).
% 1049631 [] less_or_equal(absolute(add(f(X),negate(f(a_real_number)))),Y) | -less_or_equal(absolute(add(X,negate(a_real_number))),delta_1(Y)) | less_or_equal(Y,n0).
% 1049632 [] less_or_equal(absolute(add(g(X),negate(g(a_real_number)))),Y) | -less_or_equal(absolute(add(X,negate(a_real_number))),delta_2(Y)) | less_or_equal(Y,n0).
% 1049633 [] -less_or_equal(epsilon_0,n0).
% 1049634 [] less_or_equal(absolute(add(xs(X),negate(a_real_number))),X) | less_or_equal(X,n0).
% 1049635 [] -less_or_equal(add(absolute(add(f(xs(X)),negate(f(a_real_number)))),absolute(add(g(xs(X)),negate(g(a_real_number))))),epsilon_0) | less_or_equal(X,n0).
% 1049655 [binary:1049624,1049634] less_or_equal(absolute(add(xs(minimum(X,Y)),negate(a_real_number))),X) | less_or_equal(minimum(X,Y),n0).
% 1049656 [binary:1049625,1049634] less_or_equal(absolute(add(xs(minimum(X,Y)),negate(a_real_number))),Y) | less_or_equal(minimum(X,Y),n0).
% 1049689 [binary:1049627,1049635] -less_or_equal(absolute(add(g(xs(X)),negate(g(a_real_number)))),half(epsilon_0)) | -less_or_equal(absolute(add(f(xs(X)),negate(f(a_real_number)))),half(epsilon_0)) | less_or_equal(X,n0).
% 1050265 [binary:1049632,1049689,binarydemod:1049628,cut:1049633] -less_or_equal(absolute(add(f(xs(X)),negate(f(a_real_number)))),half(epsilon_0)) | -less_or_equal(absolute(add(xs(X),negate(a_real_number))),delta_2(half(epsilon_0))) | less_or_equal(X,n0).
% 1050273 [binary:1049631,1050265,binarydemod:1049628,cut:1049633] -less_or_equal(absolute(add(xs(X),negate(a_real_number))),delta_2(half(epsilon_0))) | -less_or_equal(absolute(add(xs(X),negate(a_real_number))),delta_1(half(epsilon_0))) | less_or_equal(X,n0).
% 1050282 [binary:1049655,1050273] -less_or_equal(absolute(add(xs(minimum(delta_2(half(epsilon_0)),X)),negate(a_real_number))),delta_1(half(epsilon_0))) | less_or_equal(minimum(delta_2(half(epsilon_0)),X),n0).
% 1050298 [binary:1049656,1050282] less_or_equal(minimum(delta_2(half(epsilon_0)),delta_1(half(epsilon_0))),n0).
% 1050306 [binary:1049626,1050298,binarydemod:1049630,1049628,1049629,cut:1049633] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% using weight-order 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
% seconds given: 54
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 34256
% derived clauses: 2886742
% kept clauses: 457630
% kept size sum: 37414
% kept mid-nuclei: 29867
% kept new demods: 0
% forw unit-subs: 56511
% forw double-subs: 74972
% forw overdouble-subs: 50696
% backward subs: 859
% fast unit cutoff: 29140
% full unit cutoff: 0
% dbl unit cutoff: 22417
% real runtime : 357.99
% process. runtime: 355.92
% specific non-discr-tree subsumption statistics:
% tried: 4203800
% length fails: 165269
% strength fails: 465682
% predlist fails: 169878
% aux str. fails: 125145
% by-lit fails: 229554
% full subs tried: 2959676
% full subs fail: 2905259
%
% ; 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/ANA/ANA003-4+noeq.in")
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