TSTP Solution File: COL043-2 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : COL043-2 : TPTP v3.4.2. Bugfixed v2.3.0.
% Transfm : add_equality:r
% Format : otter:hypothesis:set(auto),clear(print_given)
% Command : gandalf-wrapper -time %d %s
% Computer : art03.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 517.9s
% Output : Assurance 517.9s
% 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/COL043-2+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 11 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(5,40,0,10,0,1,30740,3,1519,43460,4,2263,58256,5,3002,58257,1,3002,58257,50,3005,58257,40,3005,58262,0,3005,307982,3,9011,451253,4,12034,451280,5,15087,451280,5,15089,451280,1,15089,451280,50,15093,451280,40,15093,451285,0,15093,1006248,3,27108,1313307,4,33119,1313377,5,39104,1313378,5,39105,1313389,1,39105,1313389,50,39109,1313389,40,39109,1313394,0,39109,1448344,3,42124,1536082,4,43622,1536104,5,45160,1536105,5,45161,1536106,1,45161,1536106,50,45165,1536106,40,45165,1536111,0,45165,1560855,3,45776,1568951,4,46098,1568966,5,46413,1568967,5,46414,1568967,1,46414,1568967,50,46417,1568967,40,46417,1568972,0,46417,1613749,3,47623,1639677,4,48265,1639696,5,48846,1639697,5,48846,1639697,1,48846,1639697,50,48850,1639697,40,48850,1639702,0,48850,1685626,4,51162,1686039,5,51851,1686039,1,51851,1686039,50,51854,1686039,40,51854,1686044,0,51854)
%
%
% START OF PROOF
% 1686040 [] equal(X,X).
% 1686041 [] equal(apply(apply(apply(b,X),Y),Z),apply(X,apply(Y,Z))).
% 1686042 [] equal(apply(apply(apply(h,X),Y),Z),apply(apply(apply(X,Y),Z),Y)).
% 1686043 [] -equal(apply(X,fixed_pt),apply(fixed_pt,apply(X,fixed_pt))) | fixed_point(X).
% 1686044 [] -fixed_point(apply(apply(b,apply(apply(b,apply(apply(h,apply(apply(b,apply(apply(b,h),apply(b,b))),apply(h,apply(apply(b,h),apply(b,b))))),h)),b)),b)).
% 1686045 [binary:1686043.2,1686044,demod:1686041] -equal(apply(apply(apply(h,apply(apply(b,apply(apply(b,h),apply(b,b))),apply(h,apply(apply(b,h),apply(b,b))))),h),apply(b,apply(b,fixed_pt))),apply(fixed_pt,apply(apply(apply(h,apply(apply(b,apply(apply(b,h),apply(b,b))),apply(h,apply(apply(b,h),apply(b,b))))),h),apply(b,apply(b,fixed_pt))))).
% 1686046 [para:1686042.1.1,1686045.1.1,demod:1686041] -equal(apply(apply(apply(h,apply(apply(b,b),apply(apply(h,apply(apply(b,h),apply(b,b))),h))),apply(b,apply(b,fixed_pt))),h),apply(fixed_pt,apply(apply(apply(h,apply(apply(b,apply(apply(b,h),apply(b,b))),apply(h,apply(apply(b,h),apply(b,b))))),h),apply(b,apply(b,fixed_pt))))).
% 1686049 [para:1686042.1.1,1686046.1.2.2,demod:1686041] -equal(apply(apply(apply(h,apply(apply(b,b),apply(apply(h,apply(apply(b,h),apply(b,b))),h))),apply(b,apply(b,fixed_pt))),h),apply(fixed_pt,apply(apply(apply(h,apply(apply(b,b),apply(apply(h,apply(apply(b,h),apply(b,b))),h))),apply(b,apply(b,fixed_pt))),h))).
% 1686050 [para:1686042.1.1,1686049.1.1,demod:1686041] -equal(apply(apply(apply(apply(h,apply(apply(b,h),apply(b,b))),h),apply(b,apply(b,fixed_pt))),apply(h,apply(b,apply(b,fixed_pt)))),apply(fixed_pt,apply(apply(apply(h,apply(apply(b,b),apply(apply(h,apply(apply(b,h),apply(b,b))),h))),apply(b,apply(b,fixed_pt))),h))).
% 1686052 [para:1686042.1.1,1686050.1.1.1,demod:1686041] -equal(apply(apply(apply(apply(h,apply(apply(b,b),h)),apply(b,apply(b,fixed_pt))),h),apply(h,apply(b,apply(b,fixed_pt)))),apply(fixed_pt,apply(apply(apply(h,apply(apply(b,b),apply(apply(h,apply(apply(b,h),apply(b,b))),h))),apply(b,apply(b,fixed_pt))),h))).
% 1686056 [para:1686042.1.1,1686052.1.2.2,demod:1686041] -equal(apply(apply(apply(apply(h,apply(apply(b,b),h)),apply(b,apply(b,fixed_pt))),h),apply(h,apply(b,apply(b,fixed_pt)))),apply(fixed_pt,apply(apply(apply(apply(h,apply(apply(b,h),apply(b,b))),h),apply(b,apply(b,fixed_pt))),apply(h,apply(b,apply(b,fixed_pt)))))).
% 1686059 [para:1686042.1.1,1686056.1.2.2.1,demod:1686041] -equal(apply(apply(apply(apply(h,apply(apply(b,b),h)),apply(b,apply(b,fixed_pt))),h),apply(h,apply(b,apply(b,fixed_pt)))),apply(fixed_pt,apply(apply(apply(apply(h,apply(apply(b,b),h)),apply(b,apply(b,fixed_pt))),h),apply(h,apply(b,apply(b,fixed_pt)))))).
% 1686060 [para:1686042.1.1,1686059.1.1.1,demod:1686041] -equal(apply(apply(apply(h,apply(b,apply(b,fixed_pt))),apply(h,apply(b,apply(b,fixed_pt)))),apply(h,apply(b,apply(b,fixed_pt)))),apply(fixed_pt,apply(apply(apply(apply(h,apply(apply(b,b),h)),apply(b,apply(b,fixed_pt))),h),apply(h,apply(b,apply(b,fixed_pt)))))).
% 1686063 [para:1686042.1.1,1686060.1.2.2.1,demod:1686041] -equal(apply(apply(apply(h,apply(b,apply(b,fixed_pt))),apply(h,apply(b,apply(b,fixed_pt)))),apply(h,apply(b,apply(b,fixed_pt)))),apply(fixed_pt,apply(apply(apply(h,apply(b,apply(b,fixed_pt))),apply(h,apply(b,apply(b,fixed_pt)))),apply(h,apply(b,apply(b,fixed_pt)))))).
% 1686066 [para:1686042.1.1,1686063.1.1,demod:1686041,cut:1686040] 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: 24
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 3013
% derived clauses: 3898292
% kept clauses: 307089
% kept size sum: 1111
% kept mid-nuclei: 159
% kept new demods: 63190
% forw unit-subs: 2045019
% forw double-subs: 161458
% forw overdouble-subs: 0
% backward subs: 612
% fast unit cutoff: 1
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 521.21
% process. runtime: 518.54
% 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/COL043-2+eq_r.in")
%
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