TSTP Solution File: GRP009-1 by Gandalf---c-2.6
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% File : Gandalf---c-2.6
% Problem : GRP009-1 : 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 0.0s
% Output : Assurance 0.0s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
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%----NO SOLUTION OUTPUT BY SYSTEM
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%----ORIGINAL SYSTEM OUTPUT
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% Gandalf c-2.6 r1 starting to prove: /home/graph/tptp/TSTP/PreparedTPTP/otter:hypothesis:set(auto),clear(print_given)---add_equality:r/GRP/GRP009-1+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
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% detected problem class: heq
% detected subclass: medium
% detected subclass: long
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% strategies selected:
% (hyper 58 #f 2 7)
% (binary-posweight-order 29 #f 2 7)
% (binary-unit 29 #f 2 7)
% (binary-double 29 #f 2 7)
% (binary 29 #t 2 7)
% (hyper 29 #t)
% (hyper 105 #f)
% (binary-unit-uniteq 17 #f)
% (binary-weightorder 23 #f)
% (binary-posweight-order 70 #f)
% (binary-posweight-lex-big-order 29 #f)
% (binary-posweight-lex-small-order 11 #f)
% (binary-order 29 #f)
% (binary-unit 46 #f)
% (binary 67 #t)
%
%
% ********* EMPTY CLAUSE DERIVED *********
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%
% timer checkpoints: c(12,40,1,24,0,1)
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%
% START OF PROOF
% 14 [] product(identity,X,X).
% 15 [] product(X,identity,X).
% 16 [] product(inverse(X),X,identity).
% 18 [] product(X,Y,multiply(X,Y)).
% 19 [] -product(X,Y,Z) | -product(X,Y,U) | equal(U,Z).
% 20 [] -product(X,Y,Z) | -product(U,V,X) | -product(V,Y,W) | product(U,W,Z).
% 22 [] product(a,b,identity).
% 23 [] product(c,b,identity).
% 24 [] -equal(a,c).
% 116 [hyper:20,16,14,22] product(inverse(a),identity,b).
% 175 [hyper:19,116,15] equal(inverse(a),b).
% 199 [para:175.1.1,16.1.1] product(b,a,identity).
% 201 [hyper:19,18,14] equal(X,multiply(identity,X)).
% 297 [hyper:20,199,18,23,demod:201] product(c,identity,a).
% 330 [hyper:19,297,15,cut:24] contradiction
% END OF PROOF
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% Proof found by the following strategy:
%
% using hyperresolution
% not using sos strategy
% using positive unit paramodulation 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 2
% seconds given: 58
%
%
% ***GANDALF_FOUND_A_REFUTATION***
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% Global statistics over all passes:
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% given clauses: 14
% derived clauses: 723
% kept clauses: 29
% kept size sum: 148
% kept mid-nuclei: 276
% kept new demods: 8
% forw unit-subs: 313
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 0
% fast unit cutoff: 1
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 0.1
% process. runtime: 0.1
% specific non-discr-tree subsumption statistics:
% tried: 22
% length fails: 0
% strength fails: 13
% predlist fails: 3
% aux str. fails: 6
% 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/GRP/GRP009-1+eq_r.in")
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