%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : GRP021-1 : 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 40.0s
% Output   : Assurance 40.0s
% 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/GRP/GRP021-1+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
% 
% prove-all-passes started
% 
% detected problem class: heq
% detected subclass: small
% detected subclass: long
% 
% strategies selected: 
% (hyper 57 #f 3 7)
% (binary-posweight-order 28 #f 3 7)
% (binary-unit 28 #f 3 7)
% (hyper 188 #f)
% (binary-unit-uniteq 16 #f)
% (binary-weightorder 22 #f)
% (binary-posweight-order 114 #f)
% (binary-posweight-lex-big-order 28 #f)
% (binary-posweight-lex-small-order 11 #f)
% (binary-order 28 #f)
% (binary 22 #t)
% (binary-unit 58 #f)
% 
% 
% ********* EMPTY CLAUSE DERIVED *********
% 
% 
% timer checkpoints: c(10,40,0,20,0,0,7075,50,40,7085,0,40,163161,4,4286)
% 
% 
% START OF PROOF
% 7076 [] equal(X,X).
% 7077 [] product(identity,X,X).
% 7078 [] product(X,identity,X).
% 7079 [] product(inverse(X),X,identity).
% 7080 [] product(X,inverse(X),identity).
% 7081 [] product(X,Y,multiply(X,Y)).
% 7082 [] -product(X,Y,U) | -product(X,Y,Z) | equal(Z,U).
% 7083 [] -product(U,Y,V) | -product(W,X,U) | -product(X,Y,Z) | product(W,Z,V).
% 7084 [] -product(U,Z,V) | -product(U,X,W) | -product(X,Y,Z) | product(W,Y,V).
% 7085 [] -equal(multiply(a,inverse(a)),identity).
% 7111 [hyper:7082,7079,7078] equal(inverse(identity),identity).
% 7190 [hyper:7082,7081,7077] equal(X,multiply(identity,X)).
% 7193 [hyper:7082,7081,7080] equal(identity,multiply(X,inverse(X))).
% 7204 [hyper:7083,7081,7081,7079,demod:7190] product(inverse(X),multiply(X,Y),Y).
% 7205 [hyper:7083,7081,7081,7080,demod:7190] product(X,multiply(inverse(X),Y),Y).
% 7562 [hyper:7084,7204,7080,7078] product(X,inverse(multiply(Y,X)),inverse(Y)).
% 7614 [hyper:7082,7205,7081] equal(multiply(X,multiply(inverse(X),Y)),Y).
% 8274 [hyper:7082,7562,7081] equal(multiply(X,inverse(multiply(Y,X))),inverse(Y)).
% 9397 [para:8274.1.1,7614.1.1.2] equal(multiply(X,inverse(Y)),inverse(multiply(Y,inverse(X)))).
% 163162 [para:9397.1.1,7085.1.1,demod:7111,7193,cut:7076] contradiction
% END OF PROOF
% 
% Proof found by the following strategy:
% 
% using binary resolution
% not using sos strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% clause length limited to 7
% clause depth limited to 4
% seconds given: 57
% 
% 
% ***GANDALF_FOUND_A_REFUTATION***
% 
% Global statistics over all passes: 
% 
%  given clauses:    265
%  derived clauses:   3914131
%  kept clauses:      287
%  kept size sum:     3566
%  kept mid-nuclei:   162838
%  kept new demods:   29
%  forw unit-subs:    2973992
%  forw double-subs: 0
%  forw overdouble-subs: 0
%  backward subs:     8
%  fast unit cutoff:  1
%  full unit cutoff:  0
%  dbl  unit cutoff:  0
%  real runtime  :  42.89
%  process. runtime:  42.87
% specific non-discr-tree subsumption statistics: 
%  tried:           1024
%  length fails:    0
%  strength fails:  118
%  predlist fails:  82
%  aux str. fails:  202
%  by-lit fails:    0
%  full subs tried: 622
%  full subs fail:  622
% 
% ; 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/GRP/GRP021-1+eq_r.in")
% 
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