TSTP Solution File: GRP123-2.003 by Gandalf---c-2.6
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- Process Solution
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% File : Gandalf---c-2.6
% Problem : GRP123-2.003 : TPTP v3.4.2. Released v1.2.0.
% 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 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/GRP123-2.003+noeq.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
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% detected problem class: nne
% detected subclass: medium
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% strategies selected:
% (hyper 27 #f 1 9)
% (binary-unit 10 #f 1 9)
% (binary-double 16 #f 1 9)
% (binary 54 #t 1 9)
% (binary-order 27 #f 1 9)
% (binary-posweight-order 125 #f)
% (binary-order-sos 54 #t)
% (binary-unit-uniteq 27 #f)
% (binary-weightorder 54 #f)
% (binary-order 54 #f)
% (hyper-order 43 #f)
% (binary 109 #t)
%
%
% ********* EMPTY CLAUSE DERIVED *********
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%
% timer checkpoints: c(22,40,2,44,0,2)
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%
% START OF PROOF
% 29 [] group_element(e_1).
% 30 [] group_element(e_2).
% 31 [] group_element(e_3).
% 32 [] -equalish(e_1,e_2).
% 33 [] -equalish(e_1,e_3).
% 34 [] -equalish(e_2,e_1).
% 36 [] -equalish(e_3,e_1).
% 37 [] -equalish(e_3,e_2).
% 38 [] product(X,Y,e_2) | product(X,Y,e_3) | product(X,Y,e_1) | -group_element(X) | -group_element(Y).
% 40 [] -product(X,U,Z) | -product(X,Y,Z) | equalish(Y,U).
% 41 [] -product(U,Y,Z) | -product(X,Y,Z) | equalish(X,U).
% 42 [] product(X,X,X).
% 43 [] -product(W,Y,X) | -product(W,V,U) | -product(U,V,Z) | -product(X,Y,Z) | equalish(U,X).
% 48 [hyper:38,30,29] product(e_2,e_1,e_1) | product(e_2,e_1,e_2) | product(e_2,e_1,e_3).
% 52 [hyper:38,31,29] product(e_3,e_1,e_1) | product(e_3,e_1,e_2) | product(e_3,e_1,e_3).
% 178 [hyper:40,48,42,cut:34] product(e_2,e_1,e_3) | product(e_2,e_1,e_1).
% 252 [hyper:41,178,42,cut:32] product(e_2,e_1,e_3).
% 595 [hyper:40,52,42,cut:36] product(e_3,e_1,e_1) | product(e_3,e_1,e_2).
% 703 [hyper:41,595,42,cut:33] product(e_3,e_1,e_2).
% 734 [hyper:43,703,252,42,cut:42] equalish(e_3,e_2).
% 842 [hyper:37,734] contradiction
% END OF PROOF
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% Proof found by the following strategy:
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% 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 9
% clause depth limited to 1
% seconds given: 27
%
%
% ***GANDALF_FOUND_A_REFUTATION***
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% Global statistics over all passes:
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% given clauses: 33
% derived clauses: 1580
% kept clauses: 62
% kept size sum: 409
% kept mid-nuclei: 718
% kept new demods: 0
% forw unit-subs: 431
% forw double-subs: 150
% forw overdouble-subs: 181
% backward subs: 12
% fast unit cutoff: 140
% full unit cutoff: 0
% dbl unit cutoff: 4
% real runtime : 0.4
% process. runtime: 0.4
% specific non-discr-tree subsumption statistics:
% tried: 1312
% length fails: 15
% strength fails: 200
% predlist fails: 283
% aux str. fails: 2
% by-lit fails: 459
% full subs tried: 160
% full subs fail: 125
%
% ; 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/GRP123-2.003+noeq.in")
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