%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : COL037-1 : 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 : art08.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 60.0s
% Output : Assurance 60.0s
% 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/COL037-1+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 ****
%
%
% timer checkpoints: c(5,40,1,10,0,1,10,50,1,15,0,1,826,3,3023,957,4,4502,1020,5,6002,1020,1,6002,1020,50,6002,1020,40,6002,1025,0,6002,1027,50,6002,1032,0,6003)
%
%
% START OF PROOF
% 1029 [] equal(apply(apply(apply(s,X),Y),Z),apply(apply(X,Z),apply(Y,Z))).
% 1030 [] equal(apply(apply(apply(b,X),Y),Z),apply(X,apply(Y,Z))).
% 1031 [] equal(apply(apply(apply(c,X),Y),Z),apply(apply(X,Z),Y)).
% 1032 [] -equal(apply(X,f(X)),apply(f(X),apply(X,f(X)))).
% 1036 [para:1031.1.2,1031.1.1] equal(apply(apply(apply(c,apply(c,X)),Y),Z),apply(apply(X,Y),Z)).
% 1037 [para:1031.1.2,1031.1.1.1] equal(apply(apply(apply(apply(c,c),X),Y),Z),apply(apply(Y,Z),X)).
% 1038 [para:1031.1.2,1031.1.2.1] equal(apply(apply(apply(c,apply(X,Y)),Z),U),apply(apply(apply(apply(c,X),U),Y),Z)).
% 1040 [para:1029.1.2,1030.1.1.1] equal(apply(apply(apply(apply(s,b),X),Y),Z),apply(Y,apply(apply(X,Y),Z))).
% 1044 [para:1029.1.1,1031.1.2] equal(apply(apply(apply(c,apply(s,X)),Y),Z),apply(apply(X,Y),apply(Z,Y))).
% 1093 [para:1038.1.1,1031.1.1] equal(apply(apply(apply(apply(c,X),Y),Z),U),apply(apply(apply(X,Z),Y),U)).
% 1134 [para:1040.1.1,1037.1.2] equal(apply(apply(apply(apply(c,c),X),apply(apply(s,b),Y)),Z),apply(Z,apply(apply(Y,Z),X))).
% 1184 [para:1044.1.1,1093.1.2.1,demod:1036] equal(apply(apply(apply(apply(s,X),Y),Z),U),apply(apply(apply(X,Z),apply(Y,Z)),U)).
% 2655 [para:1031.1.1,1134.1.2.2] equal(apply(apply(apply(apply(c,c),X),apply(apply(s,b),apply(c,Y))),Z),apply(Z,apply(apply(Y,X),Z))).
% 5592 [para:2655.1.2,1032.1.2,slowcut:1184] 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 lex ordering for equality
% preferring bigger arities for lex ordering
% using clause demodulation
% clause length limited to 1
% clause depth limited to 5
% seconds given: 30
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 693
% derived clauses: 2133654
% kept clauses: 5565
% kept size sum: 174620
% kept mid-nuclei: 0
% kept new demods: 306
% forw unit-subs: 91476
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 71
% fast unit cutoff: 0
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 68.57
% process. runtime: 68.56
% 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/COL037-1+eq_r.in")
%
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