TSTP Solution File: NUM017-1 by Gandalf---c-2.6
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% File : Gandalf---c-2.6
% Problem : NUM017-1 : 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 10.0s
% Output : Assurance 10.0s
% 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/NUM/NUM017-1+noeq.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
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% detected problem class: hne
% detected subclass: medium
% detected subclass: long
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% strategies selected:
% (hyper 57 #f 2 7)
% (binary-unit 28 #f 2 7)
% (binary-double 28 #f)
% (binary-posweight-order 28 #f 2 7)
% (binary 28 #t 2 7)
% (hyper 28 #t)
% (hyper 159 #f)
% (binary-posweight-order 85 #f)
% (binary-weightorder 39 #f)
% (binary-order 28 #f)
% (binary-unit 45 #f)
% (binary 47 #t)
%
%
% ********* EMPTY CLAUSE DERIVED *********
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%
% timer checkpoints: c(24,40,1,48,0,2,14101,50,66,14125,0,66)
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%
% START OF PROOF
% 14108 [] -divides(X,Y) | -equalish(Y,Z) | divides(X,Z).
% 14111 [] product(X,Y,multiply(X,Y)).
% 14113 [] -product(U,X,V) | -product(V,Y,W) | -product(X,Y,Z) | product(U,Z,W).
% 14114 [] -product(X,Y,Z) | product(Y,X,Z).
% 14115 [] -product(X,U,Z) | -product(X,Y,Z) | equalish(Y,U).
% 14118 [] product(X,second_divided_by_1st(X,Y),Y) | -divides(X,Y).
% 14119 [] -product(X,Y,Z) | divides(X,Z).
% 14120 [] -product(X,X,Y) | -divides(Z,Y) | divides(Z,X) | -prime(Z).
% 14121 [] prime(a).
% 14125 [] -divides(X,c) | -divides(X,b).
% 14224 [hyper:14114,14111] product(X,Y,multiply(Y,X)).
% 14233 [hyper:14119,14111] divides(X,multiply(X,Y)).
% 14246 [hyper:14120,14233,14111,14121] divides(a,a).
% 14251 [hyper:14118,14246] product(a,second_divided_by_1st(a,a),a).
% 14427 [hyper:14119,14224] divides(X,multiply(Y,X)).
% 14828 [hyper:14113,14251,14224,14111] product(a,multiply(X,second_divided_by_1st(a,a)),multiply(a,X)).
% 113115 [hyper:14115,14828,14111] equalish(multiply(X,second_divided_by_1st(a,a)),X).
% 114097 [hyper:14108,113115,14427] divides(second_divided_by_1st(a,a),X).
% 114363 [hyper:14125,114097,cut:114097] 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 7
% clause depth limited to 3
% seconds given: 57
%
%
% ***GANDALF_FOUND_A_REFUTATION***
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% Global statistics over all passes:
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% given clauses: 632
% derived clauses: 1131671
% kept clauses: 34841
% kept size sum: 517660
% kept mid-nuclei: 79413
% kept new demods: 0
% forw unit-subs: 371327
% forw double-subs: 520
% forw overdouble-subs: 0
% backward subs: 27
% fast unit cutoff: 18
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 19.49
% process. runtime: 19.49
% specific non-discr-tree subsumption statistics:
% tried: 1240
% length fails: 0
% strength fails: 40
% predlist fails: 108
% aux str. fails: 68
% by-lit fails: 0
% full subs tried: 1024
% full subs fail: 1024
%
% ; 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/NUM/NUM017-1+noeq.in")
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