TSTP Solution File: COL006-7 by Gandalf---c-2.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : COL006-7 : 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 : 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 229.0s
% Output : Assurance 229.0s
% 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/COL006-7+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 8 1)
% (binary-posweight-lex-big-order 30 #f 8 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(5,40,1,10,0,1,24360,3,3014,31851,4,4508,37158,5,6002,37158,1,6002,37158,50,6005,37158,40,6005,37163,0,6005,68770,3,7509,73954,4,8262,79309,5,9006,79310,1,9006,79310,50,9008,79310,40,9008,79315,0,9008,79315,50,9008,79315,40,9008,79320,0,9023,180847,3,18075,215030,4,22540)
%
%
% START OF PROOF
% 79317 [] equal(apply(apply(apply(s,X),Y),Z),apply(apply(X,Z),apply(Y,Z))).
% 79318 [] equal(apply(apply(k,X),Y),X).
% 79319 [] equal(strong_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))).
% 79320 [] -equal(apply(strong_fixed_point,fixed_pt),apply(fixed_pt,apply(strong_fixed_point,fixed_pt))).
% 79321 [para:79317.1.2,79318.1.1] equal(apply(apply(apply(s,k),X),Y),Y).
% 79322 [para:79318.1.1,79317.1.2.1] equal(apply(apply(apply(s,apply(k,X)),Y),Z),apply(X,apply(Y,Z))).
% 79323 [para:79318.1.1,79317.1.2.2] equal(apply(apply(apply(s,X),apply(k,Y)),Z),apply(apply(X,Z),Y)).
% 79324 [para:79317.1.2,79317.1.1] equal(apply(apply(apply(s,apply(s,X)),Y),Z),apply(apply(X,apply(Y,Z)),apply(Z,apply(Y,Z)))).
% 79325 [para:79317.1.2,79317.1.1.1] equal(apply(apply(apply(apply(s,s),X),Y),Z),apply(apply(Y,Z),apply(apply(X,Y),Z))).
% 79330 [para:79321.1.1,79317.1.2] equal(apply(apply(apply(s,apply(s,k)),X),Y),apply(X,Y)).
% 79332 [para:79321.1.1,79317.1.2.2] equal(apply(apply(apply(s,X),apply(apply(s,k),Y)),Z),apply(apply(X,Z),Z)).
% 79333 [para:79317.1.2,79321.1.1.1] equal(apply(apply(apply(apply(s,s),X),k),Y),Y).
% 79334 [para:79319.1.2,79317.1.1.1,demod:79322,79318] equal(apply(strong_fixed_point,X),apply(apply(apply(apply(s,s),apply(apply(s,k),k)),apply(apply(s,s),apply(s,k))),apply(s,apply(k,X)))).
% 79341 [para:79317.1.2,79333.1.1.1.1] equal(apply(apply(apply(apply(apply(s,s),X),s),k),Y),Y).
% 79342 [para:79330.1.1,79317.1.2] equal(apply(apply(apply(s,apply(s,apply(s,k))),X),Y),apply(Y,apply(X,Y))).
% 79348 [para:79341.1.1,79317.1.2.2] equal(apply(apply(apply(s,X),apply(apply(apply(apply(s,s),Y),s),k)),Z),apply(apply(X,Z),Z)).
% 79350 [para:79322.1.1,79317.1.2] equal(apply(apply(apply(s,apply(s,apply(k,X))),Y),Z),apply(X,apply(Z,apply(Y,Z)))).
% 79354 [para:79323.1.1,79317.1.2] equal(apply(apply(apply(s,apply(s,X)),Y),apply(k,Z)),apply(apply(X,apply(Y,apply(k,Z))),Z)).
% 79499 [para:79321.1.1,79325.1.2.2] equal(apply(apply(apply(apply(s,s),apply(s,k)),X),Y),apply(apply(X,Y),Y)).
% 79508 [para:79330.1.1,79325.1.2.2] equal(apply(apply(apply(apply(s,s),apply(s,apply(s,k))),X),Y),apply(apply(X,Y),apply(X,Y))).
% 79695 [para:79332.1.2,79330.1.1] equal(apply(apply(apply(s,apply(s,apply(s,k))),apply(apply(s,k),X)),Y),apply(Y,Y)).
% 79981 [para:79324.1.2,79342.1.1.1,demod:79321] equal(apply(apply(apply(apply(s,apply(s,s)),s),apply(s,k)),X),apply(X,X)).
% 80003 [para:79342.1.2,79325.1.1] equal(apply(apply(apply(s,apply(s,apply(s,k))),X),apply(apply(apply(s,s),Y),Z)),apply(apply(Z,apply(X,apply(apply(apply(s,s),Y),Z))),apply(apply(Y,Z),apply(X,apply(apply(apply(s,s),Y),Z))))).
% 80245 [para:79499.1.2,79317.1.1.1] equal(apply(apply(apply(apply(apply(s,s),apply(s,k)),s),X),Y),apply(apply(X,Y),apply(X,Y))).
% 80260 [para:79499.1.2,79322.1.1] equal(apply(apply(apply(apply(s,s),apply(s,k)),apply(s,apply(k,X))),Y),apply(X,apply(Y,Y))).
% 80948 [para:79334.1.2,79325.1.1,demod:79321] equal(apply(strong_fixed_point,X),apply(apply(apply(apply(s,s),apply(s,k)),apply(s,apply(k,X))),apply(apply(apply(s,s),apply(s,k)),apply(s,apply(k,X))))).
% 83633 [para:79348.1.2,79499.1.2] equal(apply(apply(apply(apply(s,s),apply(s,k)),X),Y),apply(apply(apply(s,X),apply(apply(apply(apply(s,s),Z),s),k)),Y)).
% 84004 [para:79350.1.2,79318.1.1.1] equal(apply(apply(apply(apply(s,apply(s,apply(k,k))),X),Y),Z),apply(Y,apply(X,Y))).
% 86707 [para:79354.1.2,79332.1.1] equal(apply(apply(apply(s,apply(s,apply(s,X))),apply(s,k)),apply(k,Y)),apply(apply(X,Y),Y)).
% 89583 [para:79321.1.1,84004.1.2.2] equal(apply(apply(apply(apply(s,apply(s,apply(k,k))),apply(apply(s,k),X)),Y),Z),apply(Y,Y)).
% 89625 [para:84004.1.2,79325.1.1,demod:80003] equal(apply(apply(apply(apply(s,apply(s,apply(k,k))),X),apply(apply(apply(s,s),Y),Z)),U),apply(apply(apply(s,apply(s,apply(s,k))),X),apply(apply(apply(s,s),Y),Z))).
% 93309 [para:79695.1.2,79981.1.2] equal(apply(apply(apply(apply(s,apply(s,s)),s),apply(s,k)),X),apply(apply(apply(s,apply(s,apply(s,k))),apply(apply(s,k),Y)),X)).
% 168738 [para:79508.1.2,79981.1.2] 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)).
% 174939 [para:80245.1.2,79981.1.2,demod:168738] equal(apply(apply(apply(apply(s,s),apply(s,apply(s,k))),X),Y),apply(apply(apply(apply(apply(s,s),apply(s,k)),s),X),Y)).
% 216461 [para:86707.1.2,79499.1.2] equal(apply(apply(apply(apply(s,s),apply(s,k)),X),Y),apply(apply(apply(s,apply(s,apply(s,X))),apply(s,k)),apply(k,Y))).
% 216474 [para:86707.1.2,79334.1.2.1.1.2,demod:174939,83633,216461] equal(apply(strong_fixed_point,X),apply(apply(apply(apply(s,s),apply(s,apply(s,k))),apply(apply(s,s),apply(s,k))),apply(s,apply(k,X)))).
% 220989 [para:89583.1.2,80260.1.1,demod:80948,216474,168738,93309,89625,slowcut:79320] 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
% seconds given: 180
%
%
% old unit clauses discarded
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 1278
% derived clauses: 1225670
% kept clauses: 120236
% kept size sum: 0
% kept mid-nuclei: 0
% kept new demods: 32335
% forw unit-subs: 743552
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 95
% fast unit cutoff: 0
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 235.87
% process. runtime: 234.64
% 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/COL006-7+eq_r.in")
%
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