TSTP Solution File: LCL011-1 by Gandalf---c-2.6
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- Process Solution
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% File : Gandalf---c-2.6
% Problem : LCL011-1 : 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 : 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 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/LCL/LCL011-1+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: small
% detected subclass: short
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% strategies selected:
% (hyper 29 #f 4 5)
% (binary-unit 11 #f 4 5)
% (binary-double 17 #f 4 5)
% (hyper 29 #f)
% (binary-unit 34 #f)
% (binary-weightorder 40 #f)
% (binary 17 #t)
% (binary-order 29 #f)
% (binary-posweight-order 111 #f 4 5)
% (binary-posweight-order 283 #f)
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%
% **** EMPTY CLAUSE DERIVED ****
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%
% timer checkpoints: c(3,40,0,6,0,0,9,50,0,12,0,0)
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%
% START OF PROOF
% 10 [] -is_a_theorem(equivalent(X,Y)) | -is_a_theorem(X) | is_a_theorem(Y).
% 11 [] is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(Z,X),equivalent(Y,Z)))).
% 12 [] -is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b)))).
% 15 [hyper:10,11,11] is_a_theorem(equivalent(equivalent(X,equivalent(Y,Z)),equivalent(equivalent(equivalent(U,Y),equivalent(Z,U)),X))).
% 20 [hyper:10,15,11] is_a_theorem(equivalent(equivalent(equivalent(X,equivalent(Y,Z)),equivalent(equivalent(U,Y),X)),equivalent(Z,U))).
% 23 [hyper:10,20,15] is_a_theorem(equivalent(X,equivalent(Y,equivalent(X,Y)))).
% 27 [hyper:10,23,11] is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(Z,equivalent(Y,Z)),X))).
% 28 [hyper:10,23,15] is_a_theorem(equivalent(equivalent(equivalent(X,Y),equivalent(equivalent(Z,Y),X)),Z)).
% 32 [hyper:10,27,20] is_a_theorem(equivalent(equivalent(X,equivalent(equivalent(Y,Z),X)),equivalent(equivalent(U,equivalent(V,Y)),equivalent(equivalent(Z,V),U)))).
% 35 [hyper:10,28,15] is_a_theorem(equivalent(X,X)).
% 38 [hyper:10,35,11] is_a_theorem(equivalent(equivalent(X,Y),equivalent(Y,X))).
% 41 [hyper:10,35,27] is_a_theorem(equivalent(equivalent(X,equivalent(Y,X)),Y)).
% 49 [hyper:10,38,11] is_a_theorem(equivalent(equivalent(X,equivalent(Y,Z)),equivalent(equivalent(Z,Y),X))).
% 70 [hyper:10,41,32] is_a_theorem(equivalent(equivalent(equivalent(X,Y),equivalent(Y,Z)),equivalent(Z,X))).
% 303 [hyper:10,70,49,slowcut:12] 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 5
% clause depth limited to 5
% seconds given: 29
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%
% ***GANDALF_FOUND_A_REFUTATION***
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% Global statistics over all passes:
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% given clauses: 42
% derived clauses: 1461
% kept clauses: 186
% kept size sum: 2500
% kept mid-nuclei: 104
% kept new demods: 0
% forw unit-subs: 705
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 0
% fast unit cutoff: 0
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 0.1
% process. runtime: 0.1
% 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/LCL/LCL011-1+noeq.in")
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