%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : CAT003-2 : 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 0.0s
% Output   : Assurance 0.0s
% 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/CAT/CAT003-2+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
% 
% prove-all-passes started
% 
% detected problem class: peq
% 
% strategies selected: 
% (hyper 30 #f 3 9)
% (binary-unit 12 #f)
% (binary-unit-uniteq 12 #f)
% (binary-posweight-kb-big-order 60 #f 3 9)
% (binary-posweight-lex-big-order 30 #f 3 9)
% (binary 30 #t)
% (binary-posweight-kb-big-order 156 #f)
% (binary-posweight-lex-big-order 102 #f)
% (binary-posweight-firstpref-order 60 #f)
% (binary-order 30 #f)
% (binary-posweight-kb-small-order 48 #f)
% (binary-posweight-lex-small-order 30 #f)
% 
% 
% ********* EMPTY CLAUSE DERIVED *********
% 
% 
% timer checkpoints: c(14,40,0,28,0,0,77,50,0,91,0,0,148,50,0,162,0,0,219,50,1,233,0,1,290,50,1,304,0,1,361,50,1,375,0,2,432,50,2,446,0,2,503,50,2,517,0,2,574,50,3,588,0,3,645,50,3,659,0,3,716,50,4,730,0,4,787,50,4,801,0,4,858,50,4,872,0,4,929,50,4,943,0,5,1000,50,5,1014,0,5,1071,50,5,1085,0,5,1142,50,6,1156,0,6,1213,50,6,1227,0,6,1284,50,6,1298,0,6,1355,50,7,1355,40,7,1369,0,7)
% 
% 
% START OF PROOF
% 1308 [?] ?
% 1356 [] equal(X,X).
% 1362 [] equal(codomain(compose(X,Y)),codomain(Y)) | -equal(codomain(X),domain(Y)).
% 1363 [] equal(compose(X,compose(Y,Z)),compose(compose(X,Y),Z)) | -equal(codomain(Y),domain(Z)) | -equal(codomain(X),domain(Y)).
% 1364 [] -equal(compose(compose(a,b),Z),Y) | -equal(codomain(compose(a,b)),domain(Z)) | -equal(codomain(compose(a,b)),domain(X)) | -equal(compose(compose(a,b),X),Y) | equal(X,Z).
% 1365 [] equal(codomain(a),domain(b)).
% 1366 [] equal(codomain(b),domain(h)).
% 1367 [] equal(codomain(b),domain(g)).
% 1368 [] equal(compose(b,h),compose(b,g)).
% 1369 [] -equal(g,h).
% 1372 [binary:1356,1364] -equal(compose(compose(a,b),X),compose(compose(a,b),Y)) | -equal(codomain(compose(a,b)),domain(Y)) | -equal(codomain(compose(a,b)),domain(X)) | equal(X,Y).
% 1424 [binary:1365,1362.2] equal(codomain(compose(a,b)),codomain(b)).
% 1568 [binary:1369,1372.4,demod:1366,1367,1424,cut:1356] -equal(compose(compose(a,b),g),compose(compose(a,b),h)).
% 1642 [para:1363.1.2,1568.1.1,demod:1365,1367,1368,cut:1308,cut:1356,cut:1356] contradiction
% END OF PROOF
% 
% Proof found by the following strategy:
% 
% using binary resolution
% not using sos 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: 12
% 
% 
% ***GANDALF_FOUND_A_REFUTATION***
% 
% Global statistics over all passes: 
% 
%  given clauses:    686
%  derived clauses:   4722
%  kept clauses:      677
%  kept size sum:     8341
%  kept mid-nuclei:   582
%  kept new demods:   600
%  forw unit-subs:    3070
%  forw double-subs: 23
%  forw overdouble-subs: 14
%  backward subs:     40
%  fast unit cutoff:  199
%  full unit cutoff:  0
%  dbl  unit cutoff:  1
%  real runtime  :  0.11
%  process. runtime:  0.9
% specific non-discr-tree subsumption statistics: 
%  tried:           284
%  length fails:    0
%  strength fails:  123
%  predlist fails:  3
%  aux str. fails:  27
%  by-lit fails:    14
%  full subs tried: 109
%  full subs fail:  95
% 
% ; 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/CAT/CAT003-2+eq_r.in")
% 
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