TSTP Solution File: GRP126-3.004 by Gandalf---c-2.6
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%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP126-3.004 : 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 : art10.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
%
% Gandalf c-2.6 r1 starting to prove: /home/graph/tptp/TSTP/PreparedTPTP/otter:hypothesis:set(auto),clear(print_given)---add_equality:r/GRP/GRP126-3.004+noeq.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: nne
% detected subclass: medium
%
% strategies selected:
% (hyper 27 #f 1 11)
% (binary-unit 10 #f 1 11)
% (binary-double 16 #f 1 11)
% (binary 54 #t 1 11)
% (binary-order 27 #f 1 11)
% (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 *********
%
%
% timer checkpoints: c(43,40,0,86,0,1)
%
%
% START OF PROOF
% 44 [] next(e_0,e_1).
% 45 [] next(e_1,e_2).
% 46 [] next(e_2,e_3).
% 47 [] next(e_3,e_4).
% 48 [] greater(e_1,e_0).
% 49 [] greater(e_2,e_0).
% 50 [] greater(e_3,e_0).
% 55 [] greater(e_3,e_2).
% 56 [] greater(e_4,e_2).
% 59 [] cycle(X,e_2) | cycle(X,e_3) | cycle(X,e_1) | cycle(X,e_0) | -group_element(X).
% 60 [] cycle(e_4,e_0).
% 61 [] -greater(X,e_0) | -cycle(Y,Z) | -cycle(U,X) | -next(Z,V) | -next(U,Y) | equalish(X,V).
% 62 [] -cycle(X,e_0) | -cycle(Y,Z) | -cycle(U,V) | -greater(X,U) | -greater(V,Z) | -next(X,Y).
% 63 [] -product(X,e_1,Y) | -cycle(X,e_0) | -greater(Y,X).
% 64 [] -product(X,e_1,Y) | -greater(Z,e_0) | -cycle(X,Z) | -next(X,U) | equalish(Y,U).
% 65 [] group_element(e_1).
% 66 [] group_element(e_2).
% 67 [] group_element(e_3).
% 69 [] -equalish(e_1,e_2).
% 70 [] -equalish(e_1,e_3).
% 72 [] -equalish(e_2,e_1).
% 73 [] -equalish(e_2,e_3).
% 75 [] -equalish(e_3,e_1).
% 76 [] -equalish(e_3,e_2).
% 78 [] -equalish(e_4,e_1).
% 80 [] -equalish(e_4,e_3).
% 81 [] product(X,Y,e_3) | product(X,Y,e_4) | product(X,Y,e_2) | product(X,Y,e_1) | -group_element(Y) | -group_element(X).
% 82 [] -product(X,Y,U) | -product(X,Y,Z) | equalish(Z,U).
% 83 [] -product(X,U,Z) | -product(X,Y,Z) | equalish(Y,U).
% 84 [] -product(U,Y,Z) | -product(X,Y,Z) | equalish(X,U).
% 85 [] product(X,X,X).
% 86 [] -product(Y,X,U) | -product(X,Y,Z) | product(Z,U,Y).
% 90 [hyper:59,66] cycle(e_2,e_3) | cycle(e_2,e_2) | cycle(e_2,e_0) | cycle(e_2,e_1).
% 92 [hyper:81,66,65] product(e_1,e_2,e_4) | product(e_1,e_2,e_3) | product(e_1,e_2,e_2) | product(e_1,e_2,e_1).
% 94 [hyper:81,66,65] product(e_2,e_1,e_3) | product(e_2,e_1,e_4) | product(e_2,e_1,e_1) | product(e_2,e_1,e_2).
% 95 [hyper:59,67] cycle(e_3,e_3) | cycle(e_3,e_2) | cycle(e_3,e_0) | cycle(e_3,e_1).
% 97 [hyper:81,67,65] product(e_1,e_3,e_4) | product(e_1,e_3,e_3) | product(e_1,e_3,e_2) | product(e_1,e_3,e_1).
% 1168 [hyper:83,92,85,cut:69] product(e_1,e_2,e_2) | product(e_1,e_2,e_4) | product(e_1,e_2,e_3).
% 1241 [hyper:61,95,47,60,44,cut:50,cut:75] cycle(e_3,e_2) | cycle(e_3,e_1) | cycle(e_3,e_0).
% 1740 [hyper:61,1241,47,60,44,cut:49,cut:72] cycle(e_3,e_1) | cycle(e_3,e_0).
% 2170 [hyper:61,1740,46,50,90,45,cut:76] cycle(e_2,e_1) | cycle(e_2,e_0) | cycle(e_3,e_0) | cycle(e_2,e_2).
% 2686 [hyper:83,94,85,cut:72] product(e_2,e_1,e_1) | product(e_2,e_1,e_3) | product(e_2,e_1,e_4).
% 2754 [hyper:61,2170,46,1740,45,cut:48,cut:69] cycle(e_2,e_0) | cycle(e_3,e_0) | cycle(e_2,e_2).
% 2780 [hyper:61,2170,46,90,44,cut:50,cut:75] cycle(e_2,e_1) | cycle(e_2,e_0) | cycle(e_2,e_2).
% 3610 [hyper:62,2780,48,55,47,2754,cut:60] cycle(e_2,e_0) | cycle(e_2,e_2).
% 3880 [hyper:83,97,85,cut:70] product(e_1,e_3,e_2) | product(e_1,e_3,e_4) | product(e_1,e_3,e_3).
% 4551 [hyper:84,1168,85,cut:72] product(e_1,e_2,e_3) | product(e_1,e_2,e_4).
% 4854 [hyper:84,2686,85,cut:69] product(e_2,e_1,e_4) | product(e_2,e_1,e_3).
% 4895 [hyper:63,4854,3610,cut:56] product(e_2,e_1,e_3) | cycle(e_2,e_2).
% 5058 [hyper:64,4895,4854,46,cut:49,cut:80] product(e_2,e_1,e_3).
% 5313 [hyper:86,5058,4551] product(e_3,e_3,e_2) | product(e_1,e_2,e_4).
% 5435 [hyper:82,5313,85,cut:76] product(e_1,e_2,e_4).
% 5453 [hyper:86,5435,5058] product(e_4,e_3,e_2).
% 5606 [hyper:83,3880,5435,cut:73] product(e_1,e_3,e_3) | product(e_1,e_3,e_2).
% 5627 [hyper:84,5606,85,cut:75] product(e_1,e_3,e_2).
% 5637 [hyper:84,5627,5453,cut:78] contradiction
% END OF PROOF
%
% 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 11
% clause depth limited to 1
% seconds given: 27
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 84
% derived clauses: 8361
% kept clauses: 253
% kept size sum: 3966
% kept mid-nuclei: 5247
% kept new demods: 0
% forw unit-subs: 776
% forw double-subs: 415
% forw overdouble-subs: 1546
% backward subs: 75
% fast unit cutoff: 1719
% full unit cutoff: 0
% dbl unit cutoff: 8
% real runtime : 0.28
% process. runtime: 0.27
% specific non-discr-tree subsumption statistics:
% tried: 22192
% length fails: 1413
% strength fails: 5129
% predlist fails: 4137
% aux str. fails: 785
% by-lit fails: 8143
% full subs tried: 329
% full subs fail: 329
%
% ; 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/GRP126-3.004+noeq.in")
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