TSTP Solution File: COL038-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : COL038-1 : 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 88.5s
% Output : Assurance 88.5s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----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/COL038-1+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 4 1)
% (binary-posweight-lex-big-order 30 #f 4 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 ****
%
% **** EMPTY CLAUSE DERIVED ****
%
%
% timer checkpoints: c(5,40,0,10,0,0,587,50,705,592,0,705,7497,3,3309,9900,4,4628,11401,5,5910,11401,1,5910,11401,50,5910,11401,40,5910,11406,0,5911,12736,3,7417,12736,4,8165,12736,5,8912,12736,1,8912,12736,50,8912,12736,40,8912,12741,0,8912)
%
%
% START OF PROOF
% 12738 [] equal(apply(apply(apply(b,X),Y),Z),apply(X,apply(Y,Z))).
% 12739 [] equal(apply(m,X),apply(X,X)).
% 12740 [] equal(apply(apply(apply(v,X),Y),Z),apply(apply(Z,X),Y)).
% 12741 [] -equal(apply(X,f(X)),apply(f(X),apply(X,f(X)))).
% 12742 [para:12738.1.1,12741.1.1,demod:12738] -equal(apply(X,apply(Y,f(apply(apply(b,X),Y)))),apply(f(apply(apply(b,X),Y)),apply(X,apply(Y,f(apply(apply(b,X),Y)))))).
% 12747 [para:12738.1.1,12742.1.1,demod:12738] -equal(apply(X,apply(Y,apply(Z,f(apply(apply(b,apply(apply(b,X),Y)),Z))))),apply(f(apply(apply(b,apply(apply(b,X),Y)),Z)),apply(X,apply(Y,apply(Z,f(apply(apply(b,apply(apply(b,X),Y)),Z))))))).
% 12803 [para:12739.1.1,12747.1.1] -equal(apply(apply(X,apply(Y,f(apply(apply(b,apply(apply(b,m),X)),Y)))),apply(X,apply(Y,f(apply(apply(b,apply(apply(b,m),X)),Y))))),apply(f(apply(apply(b,apply(apply(b,m),X)),Y)),apply(m,apply(X,apply(Y,f(apply(apply(b,apply(apply(b,m),X)),Y))))))).
% 13604 [para:12740.1.1,12803.1.1.1,demod:12740] -equal(apply(apply(apply(apply(X,f(apply(apply(b,apply(apply(b,m),apply(apply(v,Y),Z))),X))),Y),Z),apply(apply(apply(X,f(apply(apply(b,apply(apply(b,m),apply(apply(v,Y),Z))),X))),Y),Z)),apply(f(apply(apply(b,apply(apply(b,m),apply(apply(v,Y),Z))),X)),apply(m,apply(apply(apply(X,f(apply(apply(b,apply(apply(b,m),apply(apply(v,Y),Z))),X))),Y),Z)))).
% 17988 [para:12740.1.1,13604.1.1.2,demod:12740,slowcut:12738] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% using sos 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: 4111
% derived clauses: 3956871
% kept clauses: 17928
% kept size sum: 692423
% kept mid-nuclei: 0
% kept new demods: 1525
% forw unit-subs: 919502
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 616
% fast unit cutoff: 0
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 92.57
% process. runtime: 90.95
% 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/COL038-1+eq_r.in")
%
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