TSTP Solution File: COL006-2 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : COL006-2 : 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 0.0s
% Output : Assurance 0.0s
% 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/COL006-2+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)
%
%
% START OF PROOF
% 7 [] equal(apply(apply(apply(s,X),Y),Z),apply(apply(X,Z),apply(Y,Z))).
% 8 [] equal(apply(apply(k,X),Y),X).
% 9 [] -equal(apply(X,fixed_pt),apply(fixed_pt,apply(X,fixed_pt))) | fixed_point(X).
% 10 [] -fixed_point(apply(apply(s,apply(k,apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)))),apply(apply(s,apply(k,apply(apply(s,s),apply(s,k)))),apply(apply(s,apply(k,s)),k)))).
% 12 [para:7.1.2,8.1.1] equal(apply(apply(apply(s,k),X),Y),Y).
% 13 [para:8.1.1,7.1.2.1] equal(apply(apply(apply(s,apply(k,X)),Y),Z),apply(X,apply(Y,Z))).
% 23 [para:12.1.1,7.1.2.2] equal(apply(apply(apply(s,X),apply(apply(s,k),Y)),Z),apply(apply(X,Z),Z)).
% 25 [binary:9.2,10,demod:13] -equal(apply(apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)),apply(apply(apply(s,s),apply(s,k)),apply(s,apply(k,fixed_pt)))),apply(fixed_pt,apply(apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)),apply(apply(apply(s,s),apply(s,k)),apply(s,apply(k,fixed_pt)))))).
% 42 [para:7.1.1,25.1.1,demod:12] -equal(apply(apply(apply(apply(s,s),apply(s,k)),apply(s,apply(k,fixed_pt))),apply(apply(apply(s,s),apply(s,k)),apply(s,apply(k,fixed_pt)))),apply(fixed_pt,apply(apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)),apply(apply(apply(s,s),apply(s,k)),apply(s,apply(k,fixed_pt)))))).
% 286 [para:7.1.2,23.1.1.1] equal(apply(apply(apply(apply(s,s),apply(s,k)),X),Y),apply(apply(X,Y),Y)).
% 867 [para:286.1.2,13.1.1] equal(apply(apply(apply(apply(s,s),apply(s,k)),apply(s,apply(k,X))),Y),apply(X,apply(Y,Y))).
% 6209 [para:7.1.1,42.1.2.2,demod:12,cut:867] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% 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
% seconds given: 30
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 107
% derived clauses: 19047
% kept clauses: 6197
% kept size sum: 194752
% kept mid-nuclei: 0
% kept new demods: 2212
% forw unit-subs: 12848
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 6
% fast unit cutoff: 1
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 1.19
% process. runtime: 1.19
% 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/COL006-2+eq_r.in")
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