TSTP Solution File: COL006-4 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : COL006-4 : 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 : art02.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 129.5s
% Output : Assurance 129.5s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----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/COL/COL006-4+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: heq
% detected subclass: small
% detected subclass: short
%
% strategies selected:
% (binary-unit-uniteq 30 #f)
% (binary-posweight-order 120 #f 8 3)
% (binary-posweight-order 240 #f)
% (binary-posweight-lex-big-order 60 #f)
% (binary-posweight-lex-small-order 12 #f)
% (binary-weightorder 24 #f)
% (hyper 30 #f)
% (binary 24 #t)
% (binary-order 30 #f)
% (binary-unit 30 #f)
%
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(5,40,1,10,0,1,28583,3,1503,36279,4,2253,45845,5,3002,45846,1,3002,45846,50,3005,45846,40,3005,45851,0,3005,90736,3,9061,108418,4,12057)
%
%
% START OF PROOF
% 45848 [] equal(apply(apply(apply(s,X),Y),Z),apply(apply(X,Z),apply(Y,Z))).
% 45849 [] equal(apply(apply(k,X),Y),X).
% 45850 [] -equal(apply(X,fixed_pt),apply(fixed_pt,apply(X,fixed_pt))) | fixed_point(X).
% 45851 [] -fixed_point(apply(apply(s,apply(k,apply(apply(apply(s,s),apply(apply(s,k),k)),apply(apply(s,s),apply(s,k))))),apply(apply(s,apply(k,s)),k))).
% 45855 [para:45848.1.2,45849.1.1] equal(apply(apply(apply(s,k),X),Y),Y).
% 45856 [para:45849.1.1,45848.1.2.1] equal(apply(apply(apply(s,apply(k,X)),Y),Z),apply(X,apply(Y,Z))).
% 45857 [para:45849.1.1,45848.1.2.2] equal(apply(apply(apply(s,X),apply(k,Y)),Z),apply(apply(X,Z),Y)).
% 45860 [para:45848.1.2,45848.1.1] equal(apply(apply(apply(s,apply(s,X)),Y),Z),apply(apply(X,apply(Y,Z)),apply(Z,apply(Y,Z)))).
% 45861 [para:45848.1.2,45848.1.1.1] equal(apply(apply(apply(apply(s,s),X),Y),Z),apply(apply(Y,Z),apply(apply(X,Y),Z))).
% 45866 [para:45848.1.1,45851.1.1.1.2.2,demod:45855] -fixed_point(apply(apply(s,apply(k,apply(apply(s,apply(apply(s,s),apply(s,k))),apply(apply(s,s),apply(s,k))))),apply(apply(s,apply(k,s)),k))).
% 45868 [para:45855.1.1,45848.1.2] equal(apply(apply(apply(s,apply(s,k)),X),Y),apply(X,Y)).
% 45870 [para:45855.1.1,45848.1.2.2] equal(apply(apply(apply(s,X),apply(apply(s,k),Y)),Z),apply(apply(X,Z),Z)).
% 45879 [para:45868.1.1,45848.1.2] equal(apply(apply(apply(s,apply(s,apply(s,k))),X),Y),apply(Y,apply(X,Y))).
% 45883 [para:45856.1.1,45850.1.1,demod:45856] -equal(apply(X,apply(Y,fixed_pt)),apply(fixed_pt,apply(X,apply(Y,fixed_pt)))) | fixed_point(apply(apply(s,apply(k,X)),Y)).
% 45898 [para:45848.1.2,45857.1.1.1] equal(apply(apply(apply(apply(s,s),k),X),Y),apply(apply(X,Y),X)).
% 45899 [para:45849.1.1,45898.1.2.1] equal(apply(apply(apply(apply(s,s),k),apply(k,X)),Y),apply(X,apply(k,X))).
% 46080 [para:45870.1.2,45848.1.1.1] equal(apply(apply(apply(apply(s,s),apply(apply(s,k),X)),Y),Z),apply(apply(Y,Z),apply(Y,Z))).
% 46086 [para:45848.1.2,45870.1.1.1] equal(apply(apply(apply(apply(s,s),apply(s,k)),X),Y),apply(apply(X,Y),Y)).
% 46093 [para:45870.1.2,45866.1.1.1.2.2] -fixed_point(apply(apply(s,apply(k,apply(apply(apply(s,s),apply(apply(s,k),X)),apply(apply(s,s),apply(s,k))))),apply(apply(s,apply(k,s)),k))).
% 46261 [para:45860.1.2,45856.1.1.1] equal(apply(apply(apply(apply(s,apply(s,s)),k),X),Y),apply(X,apply(apply(X,apply(k,X)),Y))).
% 46303 [para:45860.1.2,45879.1.1.1,demod:45855] equal(apply(apply(apply(apply(s,apply(s,s)),s),apply(s,k)),X),apply(X,X)).
% 46452 [para:45868.1.1,45861.1.2.2] equal(apply(apply(apply(apply(s,s),apply(s,apply(s,k))),X),Y),apply(apply(X,Y),apply(X,Y))).
% 46575 [para:46086.1.2,45856.1.1] equal(apply(apply(apply(apply(s,s),apply(s,k)),apply(s,apply(k,X))),Y),apply(X,apply(Y,Y))).
% 46864 [para:45899.1.2,45848.1.1.1.1,demod:45849] equal(apply(apply(apply(apply(apply(apply(s,s),k),apply(k,s)),X),Y),Z),apply(s,apply(Y,Z))).
% 46936 [para:45899.1.2,46093.1.1.2.1] -fixed_point(apply(apply(s,apply(k,apply(apply(apply(s,s),apply(apply(s,k),X)),apply(apply(s,s),apply(s,k))))),apply(apply(apply(apply(apply(s,s),k),apply(k,s)),Y),k))).
% 48688 [para:45861.1.1,45883.1.1] fixed_point(apply(apply(s,apply(k,apply(apply(apply(s,s),X),Y))),Z)) | -equal(apply(apply(Y,apply(Z,fixed_pt)),apply(apply(X,Y),apply(Z,fixed_pt))),apply(fixed_pt,apply(apply(apply(apply(s,s),X),Y),apply(Z,fixed_pt)))).
% 77606 [para:46261.1.2,46936.1.1.2.1] -fixed_point(apply(apply(s,apply(k,apply(apply(apply(s,s),apply(apply(s,k),X)),apply(apply(s,s),apply(s,k))))),apply(apply(apply(apply(apply(s,apply(s,s)),k),apply(apply(apply(s,s),k),apply(k,s))),Y),k))).
% 78937 [para:46452.1.2,46303.1.2] equal(apply(apply(apply(apply(s,apply(s,s)),s),apply(s,k)),apply(X,Y)),apply(apply(apply(apply(s,s),apply(s,apply(s,k))),X),Y)).
% 92138 [para:46303.1.2,46575.1.2.2] equal(apply(apply(apply(apply(s,s),apply(s,k)),apply(s,apply(k,X))),Y),apply(X,apply(apply(apply(apply(s,apply(s,s)),s),apply(s,k)),Y))).
% 92422 [para:46080.1.2,46575.1.2.2,demod:78937,92138] equal(apply(X,apply(apply(apply(apply(s,s),apply(s,apply(s,k))),Y),Z)),apply(X,apply(apply(apply(apply(s,s),apply(apply(s,k),U)),Y),Z))).
% 92940 [para:46261.1.2,46864.1.1.1.1] equal(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),apply(apply(apply(s,s),k),apply(k,s))),X),Y),Z),apply(s,apply(Y,Z))).
% 108496 [binary:77606,48688,demod:78937,92138,45855,92940,cut:92422] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% using first neg lit preferred strategy
% not using sos strategy
% using unit paramodulation strategy
% using unit strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% using clause demodulation
% clause length limited to 3
% clause depth limited to 8
% seconds given: 120
%
%
% old unit clauses discarded
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 973
% derived clauses: 702482
% kept clauses: 87436
% kept size sum: 0
% kept mid-nuclei: 81
% kept new demods: 23146
% forw unit-subs: 460145
% forw double-subs: 19300
% forw overdouble-subs: 0
% backward subs: 83
% fast unit cutoff: 1
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 135.80
% process. runtime: 135.15
% 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/COL/COL006-4+eq_r.in")
%
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