TSTP Solution File: GRP128-3.005 by Gandalf---c-2.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP128-3.005 : 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 30.0s
% Output : Assurance 30.0s
% 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/GRP128-3.005+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 13)
% (binary-unit 10 #f 1 13)
% (binary-double 16 #f 1 13)
% (binary 54 #t 1 13)
% (binary-order 27 #f 1 13)
% (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(57,40,0,114,0,0,132821,4,2049,149390,5,2704,149390,1,2704,149390,50,2704,149390,40,2704,149447,0,2704,151765,50,2721,151822,0,2721,154129,50,2739,154186,0,2739,156493,50,2755,156550,0,2755,158857,50,2772,158914,0,2772,161221,50,2788,161278,0,2788,163585,50,2806,163642,0,2806,165746,50,2820,165803,0,2820,167907,50,2833,167964,0,2835,170068,50,2849,170125,0,2849,172229,50,2863,172286,0,2863,174390,50,2878,174447,0,2879,176551,50,2893,176608,0,2893,178712,50,2907,178769,0,2909,180873,50,2924,180930,0,2924,183034,50,2939,183091,0,2939,185195,50,2956,185252,0,2956,187356,50,2971,187413,0,2971,189517,50,2988,189574,0,2988,191678,50,3004,191735,0,3004,193839,50,3020,193896,0,3022,196000,50,3038,196000,40,3038,196057,0,3038)
%
%
% START OF PROOF
% 196001 [] next(e_0,e_1).
% 196002 [] next(e_1,e_2).
% 196003 [] next(e_2,e_3).
% 196004 [] next(e_3,e_4).
% 196005 [] next(e_4,e_5).
% 196006 [] greater(e_1,e_0).
% 196007 [] greater(e_2,e_0).
% 196008 [] greater(e_3,e_0).
% 196009 [] greater(e_4,e_0).
% 196015 [] greater(e_3,e_2).
% 196016 [] greater(e_4,e_2).
% 196017 [] greater(e_5,e_2).
% 196018 [] greater(e_4,e_3).
% 196019 [] greater(e_5,e_3).
% 196022 [] cycle(X,e_3) | cycle(X,e_4) | cycle(X,e_2) | cycle(X,e_0) | cycle(X,e_1) | -group_element(X).
% 196023 [] cycle(e_5,e_0).
% 196024 [] -greater(X,e_0) | -cycle(Y,Z) | -cycle(U,X) | -next(Z,V) | -next(U,Y) | equalish(X,V).
% 196025 [] -cycle(X,e_0) | -cycle(Y,Z) | -cycle(U,V) | -greater(X,U) | -greater(V,Z) | -next(X,Y).
% 196026 [] -product(X,e_1,Y) | -cycle(X,e_0) | -greater(Y,X).
% 196027 [] -product(X,e_1,Y) | -greater(Z,e_0) | -cycle(X,Z) | -next(X,U) | equalish(Y,U).
% 196028 [] group_element(e_1).
% 196029 [] group_element(e_2).
% 196030 [] group_element(e_3).
% 196031 [] group_element(e_4).
% 196032 [] group_element(e_5).
% 196033 [] -equalish(e_1,e_2).
% 196034 [] -equalish(e_1,e_3).
% 196035 [] -equalish(e_1,e_4).
% 196036 [] -equalish(e_1,e_5).
% 196037 [] -equalish(e_2,e_1).
% 196038 [] -equalish(e_2,e_3).
% 196039 [] -equalish(e_2,e_4).
% 196040 [] -equalish(e_2,e_5).
% 196041 [] -equalish(e_3,e_1).
% 196042 [] -equalish(e_3,e_2).
% 196043 [] -equalish(e_3,e_4).
% 196044 [] -equalish(e_3,e_5).
% 196045 [] -equalish(e_4,e_1).
% 196046 [] -equalish(e_4,e_2).
% 196047 [] -equalish(e_4,e_3).
% 196048 [] -equalish(e_4,e_5).
% 196052 [] -equalish(e_5,e_4).
% 196053 [] product(X,Y,e_4) | product(X,Y,e_5) | product(X,Y,e_2) | product(X,Y,e_3) | product(X,Y,e_1) | -group_element(Y) | -group_element(X).
% 196054 [] -product(X,Y,U) | -product(X,Y,Z) | equalish(Z,U).
% 196055 [] -product(X,U,Z) | -product(X,Y,Z) | equalish(Y,U).
% 196056 [] -product(U,Y,Z) | -product(X,Y,Z) | equalish(X,U).
% 196057 [] -product(Z,Y,U) | -product(X,Y,Z) | product(X,Z,U).
% 196093 [binary:196001,196024.4] -cycle(X,e_0) | -greater(Y,e_0) | equalish(Y,e_1) | -cycle(Z,Y) | -next(Z,X).
% 196095 [binary:196002,196024.4] -cycle(X,e_1) | -greater(Y,e_0) | equalish(Y,e_2) | -cycle(Z,Y) | -next(Z,X).
% 196097 [binary:196003,196024.4] -cycle(X,e_2) | -greater(Y,e_0) | equalish(Y,e_3) | -cycle(Z,Y) | -next(Z,X).
% 196108 [binary:196023,196024.2] -greater(X,e_0) | -next(Z,e_5) | -next(e_0,Y) | -cycle(Z,X) | equalish(X,Y).
% 196159 [binary:196023,196025.2] -cycle(X,e_0) | -greater(Y,e_0) | -next(X,e_5) | -cycle(Z,Y) | -greater(X,Z).
% 196178 [binary:196015,196026.3] -product(e_2,e_1,e_3) | -cycle(e_2,e_0).
% 196179 [binary:196016,196026.3] -product(e_2,e_1,e_4) | -cycle(e_2,e_0).
% 196180 [binary:196017,196026.3] -product(e_2,e_1,e_5) | -cycle(e_2,e_0).
% 196181 [binary:196018,196026.3] -product(e_3,e_1,e_4) | -cycle(e_3,e_0).
% 196182 [binary:196019,196026.3] -product(e_3,e_1,e_5) | -cycle(e_3,e_0).
% 196195 [binary:196004,196027.4] -product(e_3,e_1,X) | -cycle(e_3,Y) | -greater(Y,e_0) | equalish(X,e_4).
% 196209 [binary:196039,196027.5] -product(X,e_1,e_2) | -greater(Y,e_0) | -next(X,e_4) | -cycle(X,Y).
% 196210 [binary:196040,196027.5] -product(X,e_1,e_2) | -greater(Y,e_0) | -next(X,e_5) | -cycle(X,Y).
% 196214 [binary:196044,196027.5] -product(X,e_1,e_3) | -greater(Y,e_0) | -next(X,e_5) | -cycle(X,Y).
% 196228 [binary:196028,196053.6] product(X,e_1,e_4) | product(X,e_1,e_5) | product(X,e_1,e_3) | product(X,e_1,e_2) | product(X,e_1,e_1) | -group_element(X).
% 196246 [binary:196033,196054.3] -product(X,Y,e_1) | -product(X,Y,e_2).
% 196247 [binary:196034,196054.3] -product(X,Y,e_1) | -product(X,Y,e_3).
% 196248 [binary:196035,196054.3] -product(X,Y,e_1) | -product(X,Y,e_4).
% 196249 [binary:196036,196054.3] -product(X,Y,e_1) | -product(X,Y,e_5).
% 196250 [binary:196038,196054.3] -product(X,Y,e_2) | -product(X,Y,e_3).
% 196251 [binary:196039,196054.3] -product(X,Y,e_2) | -product(X,Y,e_4).
% 196252 [binary:196040,196054.3] -product(X,Y,e_2) | -product(X,Y,e_5).
% 196253 [binary:196043,196054.3] -product(X,Y,e_3) | -product(X,Y,e_4).
% 196254 [binary:196044,196054.3] -product(X,Y,e_3) | -product(X,Y,e_5).
% 196255 [binary:196048,196054.3] -product(X,Y,e_4) | -product(X,Y,e_5).
% 196316 [binary:196033,196055.3] -product(X,e_1,Y) | -product(X,e_2,Y).
% 196317 [binary:196034,196055.3] -product(X,e_1,Y) | -product(X,e_3,Y).
% 196318 [binary:196035,196055.3] -product(X,e_1,Y) | -product(X,e_4,Y).
% 196319 [binary:196036,196055.3] -product(X,e_1,Y) | -product(X,e_5,Y).
% 196320 [binary:196038,196055.3] -product(X,e_2,Y) | -product(X,e_3,Y).
% 196321 [binary:196039,196055.3] -product(X,e_2,Y) | -product(X,e_4,Y).
% 196324 [binary:196044,196055.3] -product(X,e_3,Y) | -product(X,e_5,Y).
% 196325 [binary:196048,196055.3] -product(X,e_4,Y) | -product(X,e_5,Y).
% 196366 [binary:196033,196056.3] -product(e_1,X,Y) | -product(e_2,X,Y).
% 196367 [binary:196034,196056.3] -product(e_1,X,Y) | -product(e_3,X,Y).
% 196368 [binary:196035,196056.3] -product(e_1,X,Y) | -product(e_4,X,Y).
% 196369 [binary:196036,196056.3] -product(e_1,X,Y) | -product(e_5,X,Y).
% 196370 [binary:196038,196056.3] -product(e_2,X,Y) | -product(e_3,X,Y).
% 196371 [binary:196039,196056.3] -product(e_2,X,Y) | -product(e_4,X,Y).
% 196372 [binary:196040,196056.3] -product(e_2,X,Y) | -product(e_5,X,Y).
% 196373 [binary:196043,196056.3] -product(e_3,X,Y) | -product(e_4,X,Y).
% 196375 [binary:196048,196056.3] -product(e_4,X,Y) | -product(e_5,X,Y).
% 196457 [binary:196007,196093.2,cut:196037] -cycle(Y,e_2) | -cycle(X,e_0) | -next(Y,X).
% 196458 [binary:196008,196093.2,cut:196041] -cycle(Y,e_3) | -cycle(X,e_0) | -next(Y,X).
% 196459 [binary:196009,196093.2,cut:196045] -cycle(Y,e_4) | -cycle(X,e_0) | -next(Y,X).
% 196537 [binary:196006,196095.2,cut:196033] -cycle(Y,e_1) | -cycle(X,e_1) | -next(Y,X).
% 196847 [binary:196057.3,196246,factor] -product(e_2,e_2,e_1) | -product(X,e_2,e_2).
% 196849 [binary:196057.3,196246.2,factor] -product(e_1,e_1,e_2) | -product(X,e_1,e_1).
% 196861 [binary:196057.3,196247,factor] -product(e_3,e_3,e_1) | -product(X,e_3,e_3).
% 196863 [binary:196057.3,196247.2,factor] -product(e_1,e_1,e_3) | -product(X,e_1,e_1).
% 196866 [binary:196057.3,196248,factor] -product(e_4,e_4,e_1) | -product(X,e_4,e_4).
% 196868 [binary:196057.3,196248.2,factor] -product(e_1,e_1,e_4) | -product(X,e_1,e_1).
% 196880 [binary:196057.3,196249,factor] -product(e_5,e_5,e_1) | -product(X,e_5,e_5).
% 196882 [binary:196057.3,196249.2,factor] -product(e_1,e_1,e_5) | -product(X,e_1,e_1).
% 196885 [binary:196057.3,196250,factor] -product(e_3,e_3,e_2) | -product(X,e_3,e_3).
% 196887 [binary:196057.3,196250.2,factor] -product(e_2,e_2,e_3) | -product(X,e_2,e_2).
% 196901 [binary:196057.3,196251,factor] -product(e_4,e_4,e_2) | -product(X,e_4,e_4).
% 196903 [binary:196057.3,196251.2,factor] -product(e_2,e_2,e_4) | -product(X,e_2,e_2).
% 196906 [binary:196057.3,196252,factor] -product(e_5,e_5,e_2) | -product(X,e_5,e_5).
% 196908 [binary:196057.3,196252.2,factor] -product(e_2,e_2,e_5) | -product(X,e_2,e_2).
% 196911 [binary:196057.3,196253,factor] -product(e_4,e_4,e_3) | -product(X,e_4,e_4).
% 196913 [binary:196057.3,196253.2,factor] -product(e_3,e_3,e_4) | -product(X,e_3,e_3).
% 196916 [binary:196057.3,196254,factor] -product(e_5,e_5,e_3) | -product(X,e_5,e_5).
% 196918 [binary:196057.3,196254.2,factor] -product(e_3,e_3,e_5) | -product(X,e_3,e_3).
% 196931 [binary:196057.3,196255,factor] -product(e_5,e_5,e_4) | -product(X,e_5,e_5).
% 196933 [binary:196057.3,196255.2,factor] -product(e_4,e_4,e_5) | -product(X,e_4,e_4).
% 197030 [binary:196037,196108.5,cut:196001,cut:196007] -cycle(X,e_2) | -next(X,e_5).
% 197031 [binary:196041,196108.5,cut:196001,cut:196008] -cycle(X,e_3) | -next(X,e_5).
% 197032 [binary:196045,196108.5,cut:196001,cut:196009] -cycle(X,e_4) | -next(X,e_5).
% 197042 [binary:196005,197030.2] -cycle(e_4,e_2).
% 197052 [binary:196005,197031.2] -cycle(e_4,e_3).
% 197061 [binary:196005,197032.2] -cycle(e_4,e_4).
% 197231 [binary:196057.3,196366.2,factor] -product(e_2,e_1,e_1) | -product(e_1,e_1,X).
% 197262 [binary:196057.3,196367.2,factor] -product(e_3,e_1,e_1) | -product(e_1,e_1,X).
% 197286 [binary:196057.3,196368.2,factor] -product(e_4,e_1,e_1) | -product(e_1,e_1,X).
% 197314 [binary:196057.3,196369.2,factor] -product(e_5,e_1,e_1) | -product(e_1,e_1,X).
% 197354 [binary:196057.3,196371,factor] -product(e_2,e_4,e_4) | -product(e_4,e_4,X).
% 197420 [binary:196057.3,196375.2,factor] -product(e_5,e_4,e_4) | -product(e_4,e_4,X).
% 197434 [binary:196053.5,196847,cut:196029,binarycut:196908,binarycut:196903,binarycut:196887] product(e_2,e_2,e_2) | -product(X,e_2,e_2).
% 197444 [binary:196053.5,196861,cut:196030,binarycut:196918,binarycut:196913,binarycut:196885] product(e_3,e_3,e_3) | -product(X,e_3,e_3).
% 197459 [binary:196053.5,196866,cut:196031,binarycut:196933,binarycut:196901,binarycut:196911] product(e_4,e_4,e_4) | -product(X,e_4,e_4).
% 197468 [binary:196053.5,196880,cut:196032,binarycut:196931,binarycut:196906,binarycut:196916] product(e_5,e_5,e_5) | -product(X,e_5,e_5).
% 198053 [binary:196053.5,197231.2,cut:196028,binarycut:196882,binarycut:196868,binarycut:196849,binarycut:196863] -product(e_2,e_1,e_1).
% 198104 [binary:196053.5,197262.2,cut:196028,binarycut:196882,binarycut:196868,binarycut:196849,binarycut:196863] -product(e_3,e_1,e_1).
% 198138 [binary:196053.5,197286.2,cut:196028,binarycut:196882,binarycut:196868,binarycut:196849,binarycut:196863] -product(e_4,e_1,e_1).
% 198174 [binary:196053.5,197314.2,cut:196028,binarycut:196882,binarycut:196868,binarycut:196849,binarycut:196863] -product(e_5,e_1,e_1).
% 198208 [binary:196053,197354.2,cut:196031,binarycut:196911,binarycut:196866,binarycut:196901,binarycut:196933] -product(e_2,e_4,e_4).
% 198330 [binary:196053,197420.2,cut:196031,binarycut:196911,binarycut:196866,binarycut:196901,binarycut:196933] -product(e_5,e_4,e_4).
% 198369 [binary:196316.2,197434] -product(e_2,e_1,e_2) | -product(X,e_2,e_2).
% 198370 [binary:196320,197434] -product(e_2,e_3,e_2) | -product(X,e_2,e_2).
% 198371 [binary:196321,197434] -product(e_2,e_4,e_2) | -product(X,e_2,e_2).
% 198464 [binary:196317.2,197444] -product(e_3,e_1,e_3) | -product(X,e_3,e_3).
% 198467 [binary:196324,197444] -product(e_3,e_5,e_3) | -product(X,e_3,e_3).
% 198502 [binary:196318.2,197459] -product(e_4,e_1,e_4) | -product(X,e_4,e_4).
% 198505 [binary:196325,197459] -product(e_4,e_5,e_4) | -product(X,e_4,e_4).
% 198556 [binary:196319.2,197468] -product(e_5,e_1,e_5) | -product(X,e_5,e_5).
% 198559 [binary:196325.2,197468] -product(e_5,e_4,e_5) | -product(X,e_5,e_5).
% 198579 [binary:196057.3,198369.2,factor:factor] -product(e_2,e_1,e_2).
% 198593 [binary:196057.3,198370.2,factor:factor] -product(e_2,e_3,e_2).
% 198595 [binary:196057.3,198593] -product(e_2,X,e_3) | -product(e_3,X,e_2).
% 198611 [binary:196057.3,198371.2,factor:factor] -product(e_2,e_4,e_2).
% 198724 [binary:196057.3,198464.2,factor:factor] -product(e_3,e_1,e_3).
% 198758 [binary:196057.3,198467.2,factor:factor] -product(e_3,e_5,e_3).
% 198760 [binary:196057.3,198758] -product(e_3,X,e_5) | -product(e_5,X,e_3).
% 198785 [binary:196057.3,198502.2,factor:factor] -product(e_4,e_1,e_4).
% 198806 [binary:196057.3,198505.2,factor:factor] -product(e_4,e_5,e_4).
% 198808 [binary:196057.3,198806] -product(e_4,X,e_5) | -product(e_5,X,e_4).
% 198826 [binary:196057.3,198556.2,factor:factor] -product(e_5,e_1,e_5).
% 198847 [binary:196057.3,198559.2,factor:factor] -product(e_5,e_4,e_5).
% 198854 [binary:196003,196457.3] -cycle(e_3,e_0) | -cycle(e_2,e_2).
% 198855 [binary:196004,196457.3] -cycle(e_4,e_0) | -cycle(e_3,e_2).
% 198871 [binary:196022.4,198855,cut:197042,cut:197061,cut:197052,cut:196031] -cycle(e_3,e_2) | cycle(e_4,e_1).
% 198987 [binary:196003,196458.3] -cycle(e_3,e_0) | -cycle(e_2,e_3).
% 198988 [binary:196004,196458.3] -cycle(e_4,e_0) | -cycle(e_3,e_3).
% 199004 [binary:196022.4,198988,cut:197042,cut:197061,cut:197052,cut:196031] -cycle(e_3,e_3) | cycle(e_4,e_1).
% 199032 [binary:196095,199004.2,factor:cut:196008,cut:196004,cut:196042] -cycle(e_3,e_3).
% 199047 [binary:196003,196459.3] -cycle(e_3,e_0) | -cycle(e_2,e_4).
% 199048 [binary:196004,196459.3] -cycle(e_4,e_0) | -cycle(e_3,e_4).
% 199086 [binary:196022.4,199048,cut:197042,cut:197061,cut:197052,cut:196031] -cycle(e_3,e_4) | cycle(e_4,e_1).
% 199120 [binary:196095,199086.2,factor:cut:196009,cut:196004,cut:196046] -cycle(e_3,e_4).
% 199184 [binary:196004,196537.3] -cycle(e_4,e_1) | -cycle(e_3,e_1).
% 199217 [binary:196022.5,199184,cut:197042,cut:197061,cut:197052,cut:196031] -cycle(e_3,e_1) | cycle(e_4,e_0).
% 199325 [binary:196159,199217.2,cut:196005,factor:cut:196018,cut:196006] -cycle(e_3,e_1).
% 199345 [binary:196022.5,199325,cut:199120,cut:199032,cut:196030] cycle(e_3,e_0) | cycle(e_3,e_2).
% 199526 [binary:196182.2,199345] -product(e_3,e_1,e_5) | cycle(e_3,e_2).
% 199648 [binary:198854,199345] -cycle(e_2,e_2) | cycle(e_3,e_2).
% 199649 [binary:198855.2,199345.2] -cycle(e_4,e_0) | cycle(e_3,e_0).
% 199650 [binary:198871,199345.2] cycle(e_3,e_0) | cycle(e_4,e_1).
% 199663 [binary:199047,199345] -cycle(e_2,e_4) | cycle(e_3,e_2).
% 199886 [binary:196097,199648.2,factor:cut:196007,cut:196003,cut:196038] -cycle(e_2,e_2).
% 199978 [binary:198987,199649.2] -cycle(e_4,e_0) | -cycle(e_2,e_3).
% 200006 [binary:196181.2,199650] -product(e_3,e_1,e_4) | cycle(e_4,e_1).
% 200803 [binary:196097,199663.2,factor:cut:196009,cut:196003,cut:196047] -cycle(e_2,e_4).
% 201226 [binary:196195.2,199526.2,cut:196007,factor:cut:196052] -product(e_3,e_1,e_5).
% 201294 [binary:196210.4,200006.2,cut:196005,cut:196006] -product(e_3,e_1,e_4) | -product(e_4,e_1,e_2).
% 201307 [binary:196178,196228.3,cut:198579,cut:198053,cut:196029,binarycut:196179,binarycut:196180] -cycle(e_2,e_0).
% 201344 [binary:196373,196228.4,cut:198724,cut:201226,cut:198104,cut:196030,binarycut:201294] -product(e_4,e_1,e_2).
% 201357 [binary:198595.2,196228.4,cut:198724,cut:201226,cut:198104,cut:196030] -product(e_2,e_1,e_3) | product(e_3,e_1,e_4).
% 201364 [binary:196022.4,201307,cut:199886,cut:200803,cut:196029] cycle(e_2,e_3) | cycle(e_2,e_1).
% 201528 [binary:199978.2,201364] -cycle(e_4,e_0) | cycle(e_2,e_1).
% 201770 [?] ?
% 202147 [binary:196159.4,201528.2,cut:196006,factor:cut:196016,cut:196005] -cycle(e_4,e_0).
% 202148 [binary:196022.4,202147,cut:197042,cut:197061,cut:197052,cut:196031] cycle(e_4,e_1).
% 202261 [binary:196214.4,202148,cut:196005,cut:196006] -product(e_4,e_1,e_3).
% 202267 [binary:196026,201357.2,cut:196018] -product(e_2,e_1,e_3) | -cycle(e_3,e_0).
% 202291 [binary:196053.4,202261,cut:201344,cut:198785,cut:198138,cut:196028,cut:196031] product(e_4,e_1,e_5).
% 202292 [binary:196057,202291] -product(X,e_1,e_4) | product(X,e_4,e_5).
% 202304 [binary:196371.2,202291] -product(e_2,e_1,e_5).
% 202305 [binary:198808,202291] -product(e_5,e_1,e_4).
% 202501 [binary:196053.4,202267,cut:198579,cut:202304,cut:198053,cut:196028,cut:196029,binarycut:201770] -cycle(e_3,e_0).
% 202534 [binary:196022.4,202501,cut:199120,cut:199032,cut:199325,cut:196030] cycle(e_3,e_2).
% 202600 [binary:196209.4,202534,cut:196004,cut:196007] -product(e_3,e_1,e_2).
% 202716 [binary:196053.3,202600,cut:201226,cut:198724,cut:198104,cut:196028,cut:196030] product(e_3,e_1,e_4).
% 202729 [binary:196370.2,202716] -product(e_2,e_1,e_4).
% 202741 [binary:196053,202729,cut:202304,cut:198579,cut:198053,cut:196028,cut:196029] product(e_2,e_1,e_3).
% 202752 [binary:196318,202741] -product(e_2,e_4,e_3).
% 202755 [binary:196372,202741] -product(e_5,e_1,e_3).
% 202768 [binary:196053.4,202755,cut:198826,cut:202305,cut:198174,cut:196028,cut:196032] product(e_5,e_1,e_2).
% 202780 [binary:196318,202768] -product(e_5,e_4,e_2).
% 203220 [binary:196370.2,202292.2,cut:202716] -product(e_2,e_4,e_5).
% 203221 [binary:198760,202292.2,cut:202716] -product(e_5,e_4,e_3).
% 203228 [binary:196053.2,203220,cut:198208,cut:198611,cut:202752,cut:196031,cut:196029] product(e_2,e_4,e_1).
% 203230 [binary:196053.4,203221,cut:202780,cut:198847,cut:198330,cut:196031,cut:196032] product(e_5,e_4,e_1).
% 203256 [binary:196372,203228,cut:203230] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% not using sos strategy
% using double strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% using clause demodulation
% clause length limited to 13
% clause depth limited to 1
% seconds given: 16
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 24083
% derived clauses: 507981
% kept clauses: 49237
% kept size sum: 914385
% kept mid-nuclei: 128353
% kept new demods: 0
% forw unit-subs: 10936
% forw double-subs: 104485
% forw overdouble-subs: 181989
% backward subs: 2706
% fast unit cutoff: 126057
% full unit cutoff: 0
% dbl unit cutoff: 959
% real runtime : 31.82
% process. runtime: 31.78
% specific non-discr-tree subsumption statistics:
% tried: 30111122
% length fails: 947709
% strength fails: 7241631
% predlist fails: 6556682
% aux str. fails: 461817
% by-lit fails: 13741000
% full subs tried: 208650
% full subs fail: 167902
%
% ; 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/GRP128-3.005+noeq.in")
%
%------------------------------------------------------------------------------