%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : MGT029-1 : TPTP v3.4.2. Released v2.4.0.
% Transfm : add_equality:r
% Format : otter:hypothesis:set(auto),clear(print_given)
% Command : gandalf-wrapper -time %d %s
% Computer : art04.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 20.0s
% Output : Assurance 20.0s
% 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/MGT/MGT029-1+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: neq
% detected subclass: medium
%
% strategies selected:
% (hyper 25 #f 3 11)
% (binary-unit 9 #f 3 11)
% (binary-double 9 #f 3 11)
% (binary-double 15 #f)
% (binary-double 15 #t)
% (binary 50 #t 3 11)
% (binary-order 25 #f 3 11)
% (binary-posweight-order 101 #f)
% (binary-posweight-lex-big-order 25 #f)
% (binary-posweight-lex-small-order 9 #f)
% (binary-order-sos 50 #t)
% (binary-unit-uniteq 25 #f)
% (binary-weightorder 50 #f)
% (binary-order 50 #f)
% (hyper-order 30 #f)
% (binary 112 #t)
%
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(23,40,0,46,0,0,645,50,8,668,0,8,4110,50,108,4133,0,108,7575,50,197,7598,0,197,11040,50,288,11063,0,288,14505,50,380,14528,0,380,17970,50,473,17993,0,473,21435,50,567,21458,0,567,24900,50,662,24923,0,662,28365,50,758,28388,0,758,31830,50,856,31853,0,856,35295,50,954,35318,0,954,38760,50,1053,38783,0,1053,42225,50,1153,42248,0,1153,45690,50,1254,45690,40,1254,45713,0,1254,45857,50,1255,45880,0,1255,46099,50,1256,46122,0,1256,46341,50,1257,46364,0,1257,46583,50,1258,46606,0,1258,46825,50,1259,46848,0,1259,47067,50,1261,47090,0,1261,47309,50,1262,47332,0,1262,47551,50,1263,47574,0,1263,47793,50,1265,47816,0,1265,48035,50,1266,48058,0,1266,48277,50,1268,48300,0,1268,48519,50,1269,48542,0,1269,48761,50,1270,48784,0,1271,49003,50,1272,49026,0,1272,49245,50,1273,49268,0,1273,49487,50,1275,49510,0,1275,49729,50,1277,49752,0,1277,49971,50,1278,49994,0,1278,50213,50,1280,50213,40,1280,50236,0,1280,58075,3,1731,59320,4,1956,59857,50,2049,59857,40,2049,59880,0,2049)
%
%
% START OF PROOF
% 51602 [?] ?
% 59859 [] -greater(Y,Z) | -greater(X,Y) | greater(X,Z).
% 59860 [] -in_environment(X,Y) | -in_environment(X,Z) | greater(Y,Z) | greater(Z,Y) | equal(Z,Y).
% 59861 [] -greater_or_equal(X,Y) | greater(X,Y) | equal(X,Y).
% 59862 [] -greater(X,Y) | greater_or_equal(X,Y).
% 59863 [] -equal(X,Y) | greater_or_equal(X,Y).
% 59864 [] greater(growth_rate(first_movers,X),zero) | greater(growth_rate(efficient_producers,X),zero) | equal(growth_rate(first_movers,X),zero) | -greater_or_equal(X,equilibrium(Y)) | -subpopulations(first_movers,efficient_producers,Y,X) | -environment(Y).
% 59865 [] greater(growth_rate(first_movers,X),zero) | greater(zero,growth_rate(first_movers,X)) | equal(growth_rate(first_movers,X),zero) | -greater_or_equal(X,equilibrium(Y)) | -subpopulations(first_movers,efficient_producers,Y,X) | -environment(Y).
% 59867 [] greater(zero,growth_rate(efficient_producers,X)) | greater(zero,growth_rate(first_movers,X)) | equal(growth_rate(first_movers,X),zero) | -greater_or_equal(X,equilibrium(Y)) | -subpopulations(first_movers,efficient_producers,Y,X) | -environment(Y).
% 59869 [] greater(growth_rate(first_movers,X),zero) | greater(zero,growth_rate(first_movers,X)) | equal(growth_rate(efficient_producers,X),zero) | -greater_or_equal(X,equilibrium(Y)) | -subpopulations(first_movers,efficient_producers,Y,X) | -environment(Y).
% 59871 [] greater(zero,growth_rate(efficient_producers,X)) | greater(zero,growth_rate(first_movers,X)) | equal(growth_rate(efficient_producers,X),zero) | -greater_or_equal(X,equilibrium(Y)) | -subpopulations(first_movers,efficient_producers,Y,X) | -environment(Y).
% 59872 [] in_environment(X,sk1(X)) | -stable(X) | -environment(X).
% 59873 [] greater(growth_rate(efficient_producers,X),growth_rate(first_movers,X)) | -greater_or_equal(X,sk1(Y)) | -subpopulations(first_movers,efficient_producers,Y,X) | -stable(Y) | -environment(Y).
% 59874 [] in_environment(X,sk2(X)) | -stable(X) | -environment(X).
% 59875 [] greater_or_equal(sk2(X),equilibrium(X)) | -stable(X) | -environment(X).
% 59876 [] environment(sk3).
% 59877 [] stable(sk3).
% 59878 [] subpopulations(first_movers,efficient_producers,sk3,sk4(X)) | -in_environment(sk3,X).
% 59879 [] greater_or_equal(sk4(X),X) | -in_environment(sk3,X).
% 59880 [] -greater(growth_rate(efficient_producers,sk4(X)),zero) | -greater(zero,growth_rate(first_movers,sk4(X))) | -in_environment(sk3,X).
% 59885 [binary:59876,59864.6] greater(growth_rate(efficient_producers,X),zero) | greater(growth_rate(first_movers,X),zero) | equal(growth_rate(first_movers,X),zero) | -greater_or_equal(X,equilibrium(sk3)) | -subpopulations(first_movers,efficient_producers,sk3,X).
% 59895 [binary:59876,59872.3,cut:59877] in_environment(sk3,sk1(sk3)).
% 59896 [binary:59879.2,59872,cut:59877,cut:59876] greater_or_equal(sk4(sk1(sk3)),sk1(sk3)).
% 59907 [binary:59876,59874.3,cut:59877] in_environment(sk3,sk2(sk3)).
% 59908 [binary:59879.2,59874,cut:59877,cut:59876] greater_or_equal(sk4(sk2(sk3)),sk2(sk3)).
% 59910 [binary:59876,59875.3,cut:59877] greater_or_equal(sk2(sk3),equilibrium(sk3)).
% 59923 [binary:59862,59859.3] -greater(Y,Z) | -greater(X,Y) | greater_or_equal(X,Z).
% 59925 [binary:59879,59861] greater(sk4(X),X) | equal(sk4(X),X) | -in_environment(sk3,X).
% 59928 [binary:59910,59861] greater(sk2(sk3),equilibrium(sk3)) | equal(sk2(sk3),equilibrium(sk3)).
% 59932 [binary:59872,59878.2,cut:59877,cut:59876] subpopulations(first_movers,efficient_producers,sk3,sk4(sk1(sk3))).
% 59934 [binary:59874,59878.2,cut:59877,cut:59876] subpopulations(first_movers,efficient_producers,sk3,sk4(sk2(sk3))).
% 59940 [binary:59876,59867.6] greater(zero,growth_rate(first_movers,X)) | greater(zero,growth_rate(efficient_producers,X)) | equal(growth_rate(first_movers,X),zero) | -greater_or_equal(X,equilibrium(sk3)) | -subpopulations(first_movers,efficient_producers,sk3,X).
% 59950 [binary:59864.5,59934,cut:51602,cut:59876] greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero) | greater(growth_rate(first_movers,sk4(sk2(sk3))),zero) | equal(growth_rate(first_movers,sk4(sk2(sk3))),zero).
% 59951 [binary:59865.5,59934,cut:51602,cut:59876] greater(zero,growth_rate(first_movers,sk4(sk2(sk3)))) | greater(growth_rate(first_movers,sk4(sk2(sk3))),zero) | equal(growth_rate(first_movers,sk4(sk2(sk3))),zero).
% 59957 [para:59928.2.1,59908.1.2] greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3)) | greater(sk2(sk3),equilibrium(sk3)).
% 59958 [binary:59859,59928] equal(sk2(sk3),equilibrium(sk3)) | -greater(X,sk2(sk3)) | greater(X,equilibrium(sk3)).
% 59998 [binary:59923,59957.2,factor] -greater(sk4(sk2(sk3)),sk2(sk3)) | greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3)).
% 60034 [binary:59876,59869.6] greater(zero,growth_rate(first_movers,X)) | greater(growth_rate(first_movers,X),zero) | equal(growth_rate(efficient_producers,X),zero) | -greater_or_equal(X,equilibrium(sk3)) | -subpopulations(first_movers,efficient_producers,sk3,X).
% 60073 [binary:59876,59871.6] greater(zero,growth_rate(first_movers,X)) | greater(zero,growth_rate(efficient_producers,X)) | equal(growth_rate(efficient_producers,X),zero) | -greater_or_equal(X,equilibrium(sk3)) | -subpopulations(first_movers,efficient_producers,sk3,X).
% 60134 [binary:59876,59873.5,cut:59877] greater(growth_rate(efficient_producers,X),growth_rate(first_movers,X)) | -greater_or_equal(X,sk1(sk3)) | -subpopulations(first_movers,efficient_producers,sk3,X).
% 60140 [binary:59896,59873.2,cut:59932,cut:59877,cut:59876] greater(growth_rate(efficient_producers,sk4(sk1(sk3))),growth_rate(first_movers,sk4(sk1(sk3)))).
% 60147 [binary:59859,60140] -greater(X,growth_rate(efficient_producers,sk4(sk1(sk3)))) | greater(X,growth_rate(first_movers,sk4(sk1(sk3)))).
% 60148 [binary:59859.2,60140] -greater(growth_rate(first_movers,sk4(sk1(sk3))),X) | greater(growth_rate(efficient_producers,sk4(sk1(sk3))),X).
% 60281 [binary:59862,59860.4,binarycut:59863] -in_environment(X,Y) | -in_environment(X,Z) | greater_or_equal(Z,Y) | greater(Y,Z).
% 60295 [binary:59895,60281] greater_or_equal(X,sk1(sk3)) | greater(sk1(sk3),X) | -in_environment(sk3,X).
% 60311 [binary:59907,60295.3] greater_or_equal(sk2(sk3),sk1(sk3)) | greater(sk1(sk3),sk2(sk3)).
% 60327 [para:59958.1.1,60311.2.2,factor] -greater(sk1(sk3),sk2(sk3)) | greater_or_equal(sk2(sk3),sk1(sk3)) | greater(sk1(sk3),equilibrium(sk3)).
% 60356 [para:59885.3.1,60140.1.2,cut:59932,binarycut:60148] greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero) | -greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3)).
% 60511 [binary:59880,60356,cut:59895] -greater(zero,growth_rate(first_movers,sk4(sk1(sk3)))) | -greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3)).
% 60751 [binary:60511,60147.2] -greater(zero,growth_rate(efficient_producers,sk4(sk1(sk3)))) | -greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3)).
% 61659 [binary:60311.2,60327] greater_or_equal(sk2(sk3),sk1(sk3)) | greater(sk1(sk3),equilibrium(sk3)).
% 61664 [binary:59861,61659] greater(sk2(sk3),sk1(sk3)) | greater(sk1(sk3),equilibrium(sk3)) | equal(sk2(sk3),sk1(sk3)).
% 61785 [para:61664.3.1,59910.1.1,binarycut:59862] greater_or_equal(sk1(sk3),equilibrium(sk3)) | greater(sk2(sk3),sk1(sk3)).
% 61824 [para:59940.3.1,60511.1.2,cut:59932,binarycut:60511,binarycut:60751] -greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3)) | -greater(zero,zero).
% 61942 [binary:59859,61785.2] greater_or_equal(sk1(sk3),equilibrium(sk3)) | -greater(X,sk2(sk3)) | greater(X,sk1(sk3)).
% 62230 [binary:59862,59950.2,binarycut:59863] greater_or_equal(growth_rate(first_movers,sk4(sk2(sk3))),zero) | greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero).
% 62317 [binary:59880,62230.2,cut:59907] -greater(zero,growth_rate(first_movers,sk4(sk2(sk3)))) | greater_or_equal(growth_rate(first_movers,sk4(sk2(sk3))),zero).
% 62383 [binary:59862,59951.2,binarycut:59863,binarycut:62317] greater_or_equal(growth_rate(first_movers,sk4(sk2(sk3))),zero).
% 62384 [binary:59861,62383] greater(growth_rate(first_movers,sk4(sk2(sk3))),zero) | equal(growth_rate(first_movers,sk4(sk2(sk3))),zero).
% 63298 [para:60034.3.1,60140.1.1,cut:59932,binarycut:60511] greater(growth_rate(first_movers,sk4(sk1(sk3))),zero) | -greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3)).
% 63340 [para:59940.3.1,63298.1.1,cut:59932,binarycut:60511,binarycut:60751] -greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3)) | greater(zero,zero).
% 63376 [binary:61824.2,63340.2] -greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3)).
% 63386 [binary:59862.2,63376] -greater(sk4(sk1(sk3)),equilibrium(sk3)).
% 63388 [binary:59923.3,63376] -greater(sk4(sk1(sk3)),X) | -greater(X,equilibrium(sk3)).
% 63451 [para:59925.2.1,63386.1.1,cut:59895,binarycut:63388] -greater(sk1(sk3),equilibrium(sk3)).
% 63464 [binary:59861.2,63451] -greater_or_equal(sk1(sk3),equilibrium(sk3)) | equal(sk1(sk3),equilibrium(sk3)).
% 63484 [binary:61659.2,63451] greater_or_equal(sk2(sk3),sk1(sk3)).
% 63737 [para:63464.2.1,59896.1.2,cut:63376] -greater_or_equal(sk1(sk3),equilibrium(sk3)).
% 63748 [binary:61942,63737] -greater(X,sk2(sk3)) | greater(X,sk1(sk3)).
% 63769 [binary:59861.2,63748] -greater_or_equal(X,sk2(sk3)) | greater(X,sk1(sk3)) | equal(X,sk2(sk3)).
% 65551 [para:63769.3.2,63484.1.1,binarycut:59862] -greater_or_equal(X,sk2(sk3)) | greater_or_equal(X,sk1(sk3)).
% 65557 [binary:59879,65551,cut:59907] greater_or_equal(sk4(sk2(sk3)),sk1(sk3)).
% 65575 [binary:59873.2,65557,cut:59934,cut:59877,cut:59876] greater(growth_rate(efficient_producers,sk4(sk2(sk3))),growth_rate(first_movers,sk4(sk2(sk3)))).
% 65847 [binary:59859.2,65575] -greater(growth_rate(first_movers,sk4(sk2(sk3))),X) | greater(growth_rate(efficient_producers,sk4(sk2(sk3))),X).
% 65896 [para:62384.2.1,65575.1.2,binarycut:65847] greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero).
% 65929 [binary:59859,65896] -greater(X,growth_rate(efficient_producers,sk4(sk2(sk3)))) | greater(X,zero).
% 65936 [binary:59880,65896,cut:59907] -greater(zero,growth_rate(first_movers,sk4(sk2(sk3)))).
% 65971 [para:60073.3.1,65896.1.1,cut:65936,cut:59934,binarycut:65929] -greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3)) | greater(zero,zero).
% 66004 [binary:59859.3,65936] -greater(X,growth_rate(first_movers,sk4(sk2(sk3)))) | -greater(zero,X).
% 66071 [?] ?
% 66075 [binary:59998.2,65971,binarycut:66071] greater(zero,zero).
% 66756 [binary:60134,66004,cut:65557,cut:59934] -greater(zero,growth_rate(efficient_producers,sk4(sk2(sk3)))).
% 66834 [para:60073.3.1,66756.1.2,cut:66075,cut:66756,cut:65936,cut:59934] -greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3)).
% 66844 [para:59925.2.1,66834.1.1,cut:59910,cut:59907] greater(sk4(sk2(sk3)),sk2(sk3)).
% 66846 [binary:59998.2,66834,cut:66844] 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
% seconds given: 15
%
%
% old unit clauses discarded
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 12256
% derived clauses: 402781
% kept clauses: 32556
% kept size sum: 0
% kept mid-nuclei: 20721
% kept new demods: 0
% forw unit-subs: 48408
% forw double-subs: 81561
% forw overdouble-subs: 211506
% backward subs: 17001
% fast unit cutoff: 17508
% full unit cutoff: 0
% dbl unit cutoff: 720
% real runtime : 21.69
% process. runtime: 21.64
% specific non-discr-tree subsumption statistics:
% tried: 5474699
% length fails: 79707
% strength fails: 436429
% predlist fails: 2006530
% aux str. fails: 1696
% by-lit fails: 2355690
% full subs tried: 79774
% full subs fail: 65209
%
% ; 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/MGT/MGT029-1+eq_r.in")
%
%------------------------------------------------------------------------------