%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : CAT018-3 : 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 : 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 20.0s
% Output   : Assurance 20.0s
% 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/CAT018-3+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
% 
% prove-all-passes started
% 
% detected problem class: neq
% detected subclass: medium
% 
% strategies selected: 
% (hyper 25 #f 3 7)
% (binary-unit 9 #f 3 7)
% (binary-double 9 #f 3 7)
% (binary-double 15 #f)
% (binary-double 15 #t)
% (binary 50 #t 3 7)
% (binary-order 25 #f 3 7)
% (binary-posweight-order 101 #f)
% (binary-posweight-lex-big-order 25 #f)
% (binary-posweight-lex-small-order 9 #f)
% (binary-order-sos 50 #t)
% (binary-unit-uniteq 25 #f)
% (binary-weightorder 50 #f)
% (binary-order 50 #f)
% (hyper-order 30 #f)
% (binary 112 #t)
% 
% 
% ********* EMPTY CLAUSE DERIVED *********
% 
% 
% timer checkpoints: c(21,40,0,42,0,0,30394,4,1891,65260,5,2501,65261,1,2501,65261,50,2502,65261,40,2502,65282,0,2502)
% 
% 
% START OF PROOF
% 65262 [] equal(X,X).
% 65266 [] -there_exists(domain(X)) | there_exists(X).
% 65268 [] -there_exists(compose(X,Y)) | there_exists(domain(X)).
% 65269 [] equal(domain(X),codomain(Y)) | -there_exists(compose(X,Y)).
% 65270 [] -equal(domain(X),codomain(Y)) | there_exists(compose(X,Y)) | -there_exists(domain(X)).
% 65271 [] equal(compose(X,compose(Y,Z)),compose(compose(X,Y),Z)).
% 65273 [] equal(compose(codomain(X),X),X).
% 65280 [] there_exists(compose(a,b)).
% 65281 [] there_exists(compose(b,c)).
% 65282 [] -there_exists(compose(a,compose(b,c))).
% 65298 [binary:65280,65268] there_exists(domain(a)).
% 65301 [binary:65281,65268,binarydemod:65266] there_exists(b).
% 65309 [binary:65280,65269.2] equal(domain(a),codomain(b)).
% 65323 [para:65309.1.2,65273.1.1.1] equal(compose(domain(a),b),b).
% 65327 [binary:65282,65270.2,cut:65298] -equal(domain(a),codomain(compose(b,c))).
% 65447 [para:65269.1.1,65323.2.1,demod:65309,cut:65301] equal(domain(domain(a)),domain(a)).
% 65448 [para:65323.1.1,65271.1.2.1] equal(compose(domain(a),compose(b,X)),compose(b,X)).
% 65462 [para:65447.1.1,65269.1.1] -there_exists(compose(domain(a),X)) | equal(domain(a),codomain(X)).
% 65884 [para:65462.2.2,65327.1.2,demod:65448,cut:65262,cut:65281] 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
% clause length limited to 7
% clause depth limited to 3
% seconds given: 9
% 
% 
% ***GANDALF_FOUND_A_REFUTATION***
% 
% Global statistics over all passes: 
% 
%  given clauses:    626
%  derived clauses:   264365
%  kept clauses:      58784
%  kept size sum:     4540
%  kept mid-nuclei:   1725
%  kept new demods:   32
%  forw unit-subs:    10124
%  forw double-subs: 4528
%  forw overdouble-subs: 34689
%  backward subs:     18
%  fast unit cutoff:  281
%  full unit cutoff:  0
%  dbl  unit cutoff:  507
%  real runtime  :  25.46
%  process. runtime:  25.5
% specific non-discr-tree subsumption statistics: 
%  tried:           12948027
%  length fails:    1084416
%  strength fails:  1985265
%  predlist fails:  1735289
%  aux str. fails:  523656
%  by-lit fails:    1037170
%  full subs tried: 5036092
%  full subs fail:  5002179
% 
% ; 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/CAT018-3+eq_r.in")
% 
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