TSTP Solution File: COL003-14 by Gandalf---c-2.6
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- Process Solution
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% File : Gandalf---c-2.6
% Problem : COL003-14 : TPTP v3.4.2. Released v2.1.0.
% 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 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
%
% Gandalf c-2.6 r1 starting to prove: /home/graph/tptp/TSTP/PreparedTPTP/otter:hypothesis:set(auto),clear(print_given)---add_equality:r/COL/COL003-14+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: ueq
%
% strategies selected:
% (binary-posweight-kb-big-order 60 #f 6 1)
% (binary-posweight-lex-big-order 30 #f 6 1)
% (binary 30 #t)
% (binary-posweight-kb-big-order 180 #f)
% (binary-posweight-lex-big-order 120 #f)
% (binary-posweight-firstpref-order 60 #f)
% (binary-posweight-kb-small-order 60 #f)
% (binary-posweight-lex-small-order 60 #f)
%
%
% **** EMPTY CLAUSE DERIVED ****
%
%
% timer checkpoints: c(5,40,1,10,0,2)
%
%
% START OF PROOF
% 7 [] equal(apply(apply(apply(b,X),Y),Z),apply(X,apply(Y,Z))).
% 8 [] equal(apply(apply(w,X),Y),apply(apply(X,Y),Y)).
% 9 [] equal(strong_fixed_point,apply(apply(b,apply(apply(b,apply(w,w)),apply(apply(b,w),b))),b)).
% 10 [] -equal(apply(strong_fixed_point,fixed_pt),apply(fixed_pt,apply(strong_fixed_point,fixed_pt))).
% 11 [para:8.1.2,8.1.1] equal(apply(apply(w,w),X),apply(apply(X,X),X)).
% 13 [para:8.1.2,8.1.2.1] equal(apply(apply(w,apply(X,Y)),Y),apply(apply(apply(w,X),Y),Y)).
% 14 [para:11.1.1,8.1.1] equal(apply(apply(X,X),X),apply(apply(w,X),X)).
% 21 [para:7.1.1,8.1.2] equal(apply(apply(w,apply(b,X)),Y),apply(X,apply(Y,Y))).
% 23 [para:8.1.2,7.1.1.1] equal(apply(apply(apply(w,b),X),Y),apply(X,apply(X,Y))).
% 36 [para:21.1.1,11.1.2.1] equal(apply(apply(w,w),apply(w,apply(b,X))),apply(apply(X,apply(apply(w,apply(b,X)),apply(w,apply(b,X)))),apply(w,apply(b,X)))).
% 53 [para:23.1.2,8.1.2.1] equal(apply(apply(w,X),apply(X,Y)),apply(apply(apply(apply(w,b),X),Y),apply(X,Y))).
% 61 [para:23.1.2,14.1.2.1,demod:53,13] equal(apply(apply(w,apply(X,apply(w,X))),apply(w,X)),apply(apply(w,w),apply(w,X))).
% 97 [para:9.1.2,7.1.1.1,demod:7] equal(apply(strong_fixed_point,X),apply(apply(w,w),apply(w,apply(b,apply(b,X))))).
% 710 [para:36.1.2,7.1.1,demod:61,13,97,slowcut:10] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% using first neg lit preferred 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
% clause length limited to 1
% clause depth limited to 6
% seconds given: 60
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 71
% derived clauses: 10457
% kept clauses: 698
% kept size sum: 16024
% kept mid-nuclei: 0
% kept new demods: 245
% forw unit-subs: 6046
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 9
% fast unit cutoff: 0
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 0.25
% process. runtime: 0.26
% 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/COL003-14+eq_r.in")
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