%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : COL004-1 : 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 : art05.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 118.4s
% Output : Assurance 118.4s
% 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/COL004-1+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 5 1)
% (binary-posweight-lex-big-order 30 #f 5 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(4,40,0,8,0,0,834,3,3001,875,4,4501,927,5,6001,927,1,6001,927,50,6001,927,40,6001,931,0,6001,3049,3,7516,3240,4,8254,3278,5,9002,3278,1,9002,3278,50,9002,3278,40,9002,3282,0,9002,28123,3,10503,31735,4,11253,35662,1,12003,35662,50,12005,35662,40,12005,35666,0,12005)
%
%
% START OF PROOF
% 35664 [] equal(apply(apply(apply(s,X),Y),Z),apply(apply(X,Z),apply(Y,Z))).
% 35665 [] equal(apply(apply(k,X),Y),X).
% 35666 [] -equal(apply(apply(X,f(X)),g(X)),apply(g(X),apply(apply(f(X),f(X)),g(X)))).
% 35667 [para:35664.1.2,35665.1.1] equal(apply(apply(apply(s,k),X),Y),Y).
% 35668 [para:35665.1.1,35664.1.2.1] equal(apply(apply(apply(s,apply(k,X)),Y),Z),apply(X,apply(Y,Z))).
% 35669 [para:35665.1.1,35664.1.2.2] equal(apply(apply(apply(s,X),apply(k,Y)),Z),apply(apply(X,Z),Y)).
% 35672 [para:35664.1.1,35664.1.2.1] equal(apply(apply(apply(s,apply(apply(s,X),Y)),Z),U),apply(apply(apply(X,U),apply(Y,U)),apply(Z,U))).
% 35677 [para:35667.1.1,35664.1.2.1] equal(apply(apply(apply(s,apply(apply(s,k),X)),Y),Z),apply(Z,apply(Y,Z))).
% 35678 [para:35667.1.1,35664.1.2.2] equal(apply(apply(apply(s,X),apply(apply(s,k),Y)),Z),apply(apply(X,Z),Z)).
% 35779 [para:35677.1.2,35666.1.2] -equal(apply(apply(X,f(X)),g(X)),apply(apply(apply(s,apply(apply(s,k),Y)),apply(f(X),f(X))),g(X))).
% 36339 [para:35665.1.1,35672.1.2.2,demod:35669] equal(apply(apply(apply(apply(s,X),Y),Z),U),apply(apply(apply(X,Z),apply(Y,Z)),U)).
% 39134 [para:35668.1.1,36339.1.2.1.1] equal(apply(apply(apply(apply(s,apply(apply(s,apply(k,X)),Y)),Z),U),V),apply(apply(apply(X,apply(Y,U)),apply(Z,U)),V)).
% 39526 [para:35678.1.1,35779.1.1.1,slowcut:39134] 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
% seconds given: 180
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 6979
% derived clauses: 3295036
% kept clauses: 26360
% kept size sum: 143712
% kept mid-nuclei: 0
% kept new demods: 1839
% forw unit-subs: 250127
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 143
% fast unit cutoff: 0
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 123.54
% process. runtime: 121.79
% 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/COL004-1+eq_r.in")
%
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