TSTP Solution File: GRP129-3.004 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP129-3.004 : 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 10.0s
% Output : Assurance 10.0s
% 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/GRP129-3.004+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(42,40,0,84,0,0)
%
%
% START OF PROOF
% 43 [] next(e_0,e_1).
% 44 [] next(e_1,e_2).
% 45 [] next(e_2,e_3).
% 46 [] next(e_3,e_4).
% 47 [] greater(e_1,e_0).
% 48 [] greater(e_2,e_0).
% 49 [] greater(e_3,e_0).
% 51 [] greater(e_2,e_1).
% 52 [] greater(e_3,e_1).
% 53 [] greater(e_4,e_1).
% 54 [] greater(e_3,e_2).
% 55 [] greater(e_4,e_2).
% 56 [] greater(e_4,e_3).
% 58 [] cycle(X,e_2) | cycle(X,e_3) | cycle(X,e_1) | cycle(X,e_0) | -group_element(X).
% 59 [] cycle(e_4,e_0).
% 60 [] -greater(X,e_0) | -cycle(Y,Z) | -cycle(U,X) | -next(Z,V) | -next(U,Y) | equalish(X,V).
% 61 [] -cycle(X,e_0) | -cycle(Y,Z) | -cycle(U,V) | -greater(X,U) | -greater(V,Z) | -next(X,Y).
% 62 [] -product(X,e_1,Y) | -cycle(X,e_0) | -greater(Y,X).
% 63 [] -product(X,e_1,Y) | -greater(Z,e_0) | -cycle(X,Z) | -next(X,U) | equalish(Y,U).
% 64 [] group_element(e_1).
% 65 [] group_element(e_2).
% 66 [] group_element(e_3).
% 67 [] group_element(e_4).
% 68 [] -equalish(e_1,e_2).
% 69 [] -equalish(e_1,e_3).
% 70 [] -equalish(e_1,e_4).
% 71 [] -equalish(e_2,e_1).
% 72 [] -equalish(e_2,e_3).
% 73 [] -equalish(e_2,e_4).
% 74 [] -equalish(e_3,e_1).
% 75 [] -equalish(e_3,e_2).
% 76 [] -equalish(e_3,e_4).
% 77 [] -equalish(e_4,e_1).
% 78 [] -equalish(e_4,e_2).
% 79 [] -equalish(e_4,e_3).
% 80 [] 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).
% 81 [] -product(X,Y,U) | -product(X,Y,Z) | equalish(Z,U).
% 82 [] -product(X,U,Z) | -product(X,Y,Z) | equalish(Y,U).
% 83 [] -product(U,Y,Z) | -product(X,Y,Z) | equalish(X,U).
% 84 [] -product(Y,Z,U) | -product(X,Y,Z) | product(Z,X,U).
% 85 [hyper:58,64] cycle(e_1,e_3) | cycle(e_1,e_2) | cycle(e_1,e_0) | cycle(e_1,e_1).
% 87 [hyper:80,64,64] product(e_1,e_1,e_4) | product(e_1,e_1,e_3) | product(e_1,e_1,e_2) | product(e_1,e_1,e_1).
% 89 [hyper:58,65] cycle(e_2,e_3) | cycle(e_2,e_2) | cycle(e_2,e_0) | cycle(e_2,e_1).
% 91 [hyper:80,65,64] 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:80,65,64] 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:58,66] cycle(e_3,e_3) | cycle(e_3,e_2) | cycle(e_3,e_0) | cycle(e_3,e_1).
% 98 [hyper:80,66,65] product(e_2,e_3,e_4) | product(e_2,e_3,e_3) | product(e_2,e_3,e_2) | product(e_2,e_3,e_1).
% 101 [hyper:80,66,64] product(e_3,e_1,e_3) | product(e_3,e_1,e_4) | product(e_3,e_1,e_1) | product(e_3,e_1,e_2).
% 104 [hyper:80,67,64] product(e_1,e_4,e_4) | product(e_1,e_4,e_3) | product(e_1,e_4,e_2) | product(e_1,e_4,e_1).
% 105 [hyper:80,67,65] product(e_2,e_4,e_4) | product(e_2,e_4,e_3) | product(e_2,e_4,e_2) | product(e_2,e_4,e_1).
% 109 [hyper:80,67,64] product(e_4,e_1,e_3) | product(e_4,e_1,e_4) | product(e_4,e_1,e_1) | product(e_4,e_1,e_2).
% 1172 [hyper:60,95,46,59,43,cut:49,cut:74] cycle(e_3,e_2) | cycle(e_3,e_1) | cycle(e_3,e_0).
% 1769 [hyper:60,1172,46,59,43,cut:48,cut:71] cycle(e_3,e_1) | cycle(e_3,e_0).
% 2275 [hyper:60,1769,45,49,89,44,cut:75] cycle(e_2,e_1) | cycle(e_2,e_0) | cycle(e_3,e_0) | cycle(e_2,e_2).
% 2459 [hyper:61,1769,46,59,85,cut:52,cut:49] cycle(e_1,e_0) | cycle(e_1,e_1) | cycle(e_3,e_1) | cycle(e_1,e_2).
% 8850 [hyper:60,2275,45,1769,44,cut:47,cut:68] cycle(e_2,e_0) | cycle(e_3,e_0) | cycle(e_2,e_2).
% 8919 [hyper:60,2275,45,49,89,43,cut:74] cycle(e_2,e_1) | cycle(e_2,e_0) | cycle(e_2,e_2).
% 10942 [hyper:61,8919,47,54,46,8850,cut:59] cycle(e_2,e_0) | cycle(e_2,e_2).
% 11852 [hyper:60,10942,44,49,43,85,cut:74] cycle(e_1,e_0) | cycle(e_1,e_1) | cycle(e_2,e_2) | cycle(e_1,e_2).
% 11927 [hyper:60,10942,45,1769,43,cut:48,cut:71] cycle(e_2,e_0) | cycle(e_3,e_1).
% 12322 [hyper:62,10942,94,cut:54] product(e_2,e_1,e_1) | product(e_2,e_1,e_2) | product(e_2,e_1,e_4) | cycle(e_2,e_2).
% 14033 [hyper:62,101,1769,cut:56] product(e_3,e_1,e_2) | product(e_3,e_1,e_1) | product(e_3,e_1,e_3) | cycle(e_3,e_1).
% 14060 [hyper:63,101,47,46,1769,cut:76] product(e_3,e_1,e_1) | product(e_3,e_1,e_2) | product(e_3,e_1,e_4) | cycle(e_3,e_0).
% 15255 [hyper:60,2459,44,11927,43,cut:48,cut:71] cycle(e_1,e_1) | cycle(e_3,e_1) | cycle(e_1,e_0).
% 15572 [hyper:61,15255,47,46,1769,cut:52,cut:59] cycle(e_1,e_0) | cycle(e_3,e_1).
% 16117 [hyper:62,15572,87,cut:53] product(e_1,e_1,e_2) | product(e_1,e_1,e_1) | product(e_1,e_1,e_3) | cycle(e_3,e_1).
% 17293 [hyper:60,11852,44,10942,43,cut:48,cut:71] cycle(e_1,e_1) | cycle(e_2,e_2) | cycle(e_1,e_0).
% 17780 [hyper:60,17293,44,48,45,85,cut:72] cycle(e_1,e_0) | cycle(e_1,e_1) | cycle(e_1,e_3).
% 18297 [hyper:60,17780,44,10942,45,cut:47,cut:69] cycle(e_1,e_3) | cycle(e_2,e_0) | cycle(e_1,e_0).
% 73510 [hyper:62,12322,cut:55,binarycut:10942] product(e_2,e_1,e_2) | product(e_2,e_1,e_1) | cycle(e_2,e_2).
% 73907 [hyper:60,73510,45,43,1769,cut:48,cut:71] product(e_2,e_1,e_2) | product(e_2,e_1,e_1) | cycle(e_3,e_1).
% 74069 [hyper:63,73510,45,94,cut:48,cut:79] product(e_2,e_1,e_1) | product(e_2,e_1,e_2) | product(e_2,e_1,e_3).
% 74797 [hyper:63,74069,48,45,10942,cut:69] product(e_2,e_1,e_3) | product(e_2,e_1,e_2) | cycle(e_2,e_0).
% 75299 [hyper:63,74797,48,10942,45,cut:72] product(e_2,e_1,e_3) | cycle(e_2,e_0).
% 75957 [hyper:82,75299,98,cut:74] product(e_2,e_3,e_2) | product(e_2,e_3,e_1) | product(e_2,e_3,e_4) | cycle(e_2,e_0).
% 75958 [hyper:82,75299,105,cut:77] product(e_2,e_4,e_2) | product(e_2,e_4,e_1) | product(e_2,e_4,e_4) | cycle(e_2,e_0).
% 75962 [hyper:83,75299,109,cut:78] product(e_4,e_1,e_1) | product(e_4,e_1,e_2) | product(e_4,e_1,e_4) | cycle(e_2,e_0).
% 78619 [hyper:63,14060,47,46,binarycut:1769,cut:70] product(e_3,e_1,e_2) | product(e_3,e_1,e_4) | cycle(e_3,e_0).
% 79284 [hyper:63,78619,47,46,binarycut:1769,cut:73] product(e_3,e_1,e_4) | cycle(e_3,e_0).
% 79656 [hyper:60,79284,45,48,43,10942,cut:71] product(e_3,e_1,e_4) | cycle(e_2,e_0).
% 83136 [hyper:62,16117,cut:51,binarycut:15572] product(e_1,e_1,e_1) | product(e_1,e_1,e_3) | cycle(e_3,e_1).
% 83875 [hyper:62,83136,cut:52,binarycut:15572] product(e_1,e_1,e_1) | cycle(e_3,e_1).
% 85096 [hyper:83,83875,73907,cut:71] product(e_2,e_1,e_2) | cycle(e_3,e_1).
% 85097 [hyper:83,83875,14033,cut:74] product(e_3,e_1,e_3) | product(e_3,e_1,e_2) | cycle(e_3,e_1).
% 87729 [hyper:63,85097,46,101,cut:47,cut:70] product(e_3,e_1,e_3) | product(e_3,e_1,e_2) | product(e_3,e_1,e_4).
% 87751 [hyper:83,85097,85096,cut:72] product(e_3,e_1,e_3) | cycle(e_3,e_1).
% 89972 [hyper:63,87729,47,87751,46,cut:73] product(e_3,e_1,e_4) | product(e_3,e_1,e_3).
% 90122 [hyper:63,89972,47,46,83875,cut:76] product(e_3,e_1,e_4) | product(e_1,e_1,e_1).
% 90270 [hyper:83,90122,87,cut:69] product(e_1,e_1,e_2) | product(e_1,e_1,e_1) | product(e_1,e_1,e_3).
% 90677 [hyper:83,90270,75299,cut:71] product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | cycle(e_2,e_0).
% 90930 [hyper:63,90677,49,44,18297,cut:68] product(e_1,e_1,e_2) | cycle(e_2,e_0) | cycle(e_1,e_0).
% 92546 [hyper:60,90930,44,49,43,17780,cut:74] product(e_1,e_1,e_2) | cycle(e_1,e_1) | cycle(e_1,e_0).
% 93929 [hyper:62,92546,90270,cut:52] product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | cycle(e_1,e_1).
% 94699 [hyper:62,93929,17293,cut:51] product(e_1,e_1,e_1) | cycle(e_2,e_2) | cycle(e_1,e_1).
% 94743 [hyper:63,93929,90270,44,cut:47,cut:75] product(e_1,e_1,e_2) | product(e_1,e_1,e_1).
% 94933 [hyper:63,94743,44,47,92546,cut:68] product(e_1,e_1,e_2) | cycle(e_1,e_0).
% 95229 [hyper:83,94933,73510,cut:71] product(e_2,e_1,e_1) | cycle(e_2,e_2) | cycle(e_1,e_0).
% 95740 [hyper:83,94699,73510,cut:71] product(e_2,e_1,e_2) | cycle(e_2,e_2) | cycle(e_1,e_1).
% 96896 [hyper:84,95229,94933] product(e_1,e_2,e_2) | cycle(e_1,e_0) | cycle(e_2,e_2).
% 99454 [hyper:82,96896,94933,cut:68] cycle(e_2,e_2) | cycle(e_1,e_0).
% 99715 [hyper:60,99454,44,47,45,17780,cut:69] cycle(e_1,e_0) | cycle(e_1,e_3).
% 99919 [hyper:62,99454,94743,cut:51] product(e_1,e_1,e_1) | cycle(e_2,e_2).
% 101015 [hyper:63,99919,44,47,95740,cut:68] product(e_2,e_1,e_2) | cycle(e_2,e_2).
% 101693 [hyper:63,101015,45,74069,cut:48,cut:69] product(e_2,e_1,e_2) | product(e_2,e_1,e_3).
% 103115 [hyper:84,75957,79656] product(e_1,e_2,e_4) | product(e_2,e_3,e_4) | product(e_2,e_3,e_2) | cycle(e_2,e_0).
% 105172 [hyper:83,75962,79656,cut:76] product(e_4,e_1,e_2) | product(e_4,e_1,e_1) | cycle(e_2,e_0).
% 105990 [hyper:83,105172,94933,cut:70] product(e_4,e_1,e_1) | cycle(e_1,e_0) | cycle(e_2,e_0).
% 106502 [hyper:60,105990,44,99715,43,cut:49,cut:74] product(e_4,e_1,e_1) | cycle(e_1,e_0).
% 106704 [hyper:84,106502,94933] product(e_1,e_4,e_2) | cycle(e_1,e_0).
% 107274 [hyper:82,106704,94933,cut:70] cycle(e_1,e_0).
% 107536 [hyper:62,107274,94743,cut:51] product(e_1,e_1,e_1).
% 107668 [hyper:82,107536,91,cut:71] product(e_1,e_2,e_3) | product(e_1,e_2,e_4) | product(e_1,e_2,e_2).
% 107670 [hyper:82,107536,104,cut:77] product(e_1,e_4,e_3) | product(e_1,e_4,e_4) | product(e_1,e_4,e_2).
% 107677 [hyper:83,107536,105172,cut:77] product(e_4,e_1,e_2) | cycle(e_2,e_0).
% 107696 [hyper:84,107677,75958] product(e_2,e_4,e_4) | product(e_1,e_2,e_2) | product(e_2,e_4,e_2) | cycle(e_2,e_0).
% 108210 [hyper:84,107668,85096] product(e_2,e_2,e_3) | product(e_1,e_2,e_2) | product(e_1,e_2,e_4) | cycle(e_3,e_1).
% 128057 [hyper:84,107696,107677] product(e_2,e_4,e_2) | product(e_2,e_4,e_4) | cycle(e_2,e_0).
% 134578 [hyper:83,108210,107668,cut:68] product(e_1,e_2,e_4) | product(e_1,e_2,e_2) | cycle(e_3,e_1).
% 135305 [hyper:84,134578,85096] product(e_2,e_2,e_4) | product(e_1,e_2,e_2) | cycle(e_3,e_1).
% 138927 [hyper:83,135305,134578,cut:68] product(e_1,e_2,e_2) | cycle(e_3,e_1).
% 140027 [hyper:84,138927,85096] product(e_2,e_2,e_2) | cycle(e_3,e_1).
% 143972 [hyper:82,140027,85096,cut:68] cycle(e_3,e_1).
% 146454 [hyper:63,143972,46,89972,cut:47,cut:76] product(e_3,e_1,e_4).
% 147547 [hyper:84,146454,107670] product(e_1,e_4,e_4) | product(e_1,e_4,e_3) | product(e_4,e_3,e_2).
% 150926 [hyper:82,147547,107677,cut:69] product(e_1,e_4,e_3) | product(e_1,e_4,e_4) | cycle(e_2,e_0).
% 150970 [hyper:84,150926,146454] product(e_1,e_4,e_4) | product(e_4,e_3,e_3) | cycle(e_2,e_0).
% 151127 [hyper:83,150926,128057,cut:71] product(e_2,e_4,e_2) | product(e_1,e_4,e_3) | cycle(e_2,e_0).
% 151280 [hyper:84,150970,150926] product(e_1,e_4,e_4) | product(e_3,e_1,e_3) | cycle(e_2,e_0).
% 153197 [hyper:63,151280,143972,46,cut:47,cut:76] product(e_1,e_4,e_4) | cycle(e_2,e_0).
% 153425 [hyper:84,153197,146454] product(e_4,e_3,e_4) | cycle(e_2,e_0).
% 153721 [hyper:81,153197,151127,cut:76] product(e_2,e_4,e_2) | cycle(e_2,e_0).
% 153726 [hyper:82,153197,103115,cut:73] product(e_2,e_3,e_2) | product(e_2,e_3,e_4) | cycle(e_2,e_0).
% 156421 [hyper:82,153726,153721,cut:79] product(e_2,e_3,e_4) | cycle(e_2,e_0).
% 156766 [hyper:83,156421,153425,cut:78] cycle(e_2,e_0).
% 157031 [hyper:62,156766,101693,cut:54] product(e_2,e_1,e_2).
% 157155 [hyper:84,157031,107668] product(e_1,e_2,e_4) | product(e_1,e_2,e_2) | product(e_2,e_2,e_3).
% 158420 [hyper:83,157155,107668,cut:68] product(e_1,e_2,e_4) | product(e_1,e_2,e_2).
% 158439 [hyper:84,158420,157031] product(e_1,e_2,e_2) | product(e_2,e_2,e_4).
% 158510 [hyper:83,158439,158420,cut:68] product(e_1,e_2,e_2).
% 158520 [hyper:84,158510,157031] product(e_2,e_2,e_2).
% 158546 [hyper:82,158520,157031,cut:68] 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: 432
% derived clauses: 377853
% kept clauses: 8701
% kept size sum: 192756
% kept mid-nuclei: 148931
% kept new demods: 0
% forw unit-subs: 31648
% forw double-subs: 57135
% forw overdouble-subs: 129360
% backward subs: 1582
% fast unit cutoff: 94305
% full unit cutoff: 0
% dbl unit cutoff: 442
% real runtime : 18.1
% process. runtime: 18.0
% specific non-discr-tree subsumption statistics:
% tried: 22918638
% length fails: 1908962
% strength fails: 5270733
% predlist fails: 10295937
% aux str. fails: 342639
% by-lit fails: 4653425
% full subs tried: 5285
% full subs fail: 5285
%
% ; 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/GRP129-3.004+noeq.in")
%
%------------------------------------------------------------------------------