TSTP Solution File: MGT063-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : MGT063-1 : 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 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/MGT/MGT063-1+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 9)
% (binary-unit 9 #f 3 9)
% (binary-double 9 #f 3 9)
% (binary-double 15 #f)
% (binary-double 15 #t)
% (binary 50 #t 3 9)
% (binary-order 25 #f 3 9)
% (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)
%
%
% SOS clause
% -smaller(hazard_of_mortality(sk3,sk7),hazard_of_mortality(sk3,sk5)) | -smaller(hazard_of_mortality(sk3,sk5),hazard_of_mortality(sk3,sk6)) | -equal(hazard_of_mortality(sk3,sk5),hazard_of_mortality(sk3,sk4)).
% was split for some strategies as:
% -smaller(hazard_of_mortality(sk3,sk7),hazard_of_mortality(sk3,sk5)).
% -smaller(hazard_of_mortality(sk3,sk5),hazard_of_mortality(sk3,sk6)).
% -equal(hazard_of_mortality(sk3,sk5),hazard_of_mortality(sk3,sk4)).
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(59,40,1,118,0,1,30138,4,902,50109,5,1202,50109,1,1202,50109,50,1203,50109,40,1203,50168,0,1203,50835,50,1206,50894,0,1206,51361,50,1208,51420,0,1210,51887,50,1212,51946,0,1212,52413,50,1214,52472,0,1215,52939,50,1217,52998,0,1217,53465,50,1219,53524,0,1221,53991,50,1223,54050,0,1223,54517,50,1226,54576,0,1228,55043,50,1230,55102,0,1230,55569,50,1232,55628,0,1234,56095,50,1237,56154,0,1237,56621,50,1239,56680,0,1241,57147,50,1243,57206,0,1244,57673,50,1246,57732,0,1248,58199,50,1250,58258,0,1250,58725,50,1253,58784,0,1255,59251,50,1258,59310,0,1258,59777,50,1260,59836,0,1263,60303,50,1265,60303,40,1265,60362,0,1265)
%
%
% START OF PROOF
% 60304 [] equal(X,X).
% 60305 [] -smaller_or_equal(X,Y) | smaller(X,Y) | equal(X,Y).
% 60306 [] -smaller(X,Y) | smaller_or_equal(X,Y).
% 60307 [] -equal(X,Y) | smaller_or_equal(X,Y).
% 60311 [] -smaller(X,Y) | greater(Y,X).
% 60312 [] -greater(X,Y) | smaller(Y,X).
% 60313 [] -greater(X,Y) | -greater(Y,X).
% 60314 [] -greater(Y,Z) | -greater(X,Y) | greater(X,Z).
% 60315 [] greater(X,Y) | smaller(X,Y) | equal(X,Y).
% 60323 [] -has_immunity(X,Y) | -organization(X) | has_endowment(X).
% 60326 [] -dissimilar(X,Y,Z) | -is_aligned(X,Y) | -is_aligned(X,Z).
% 60328 [] dissimilar(X,Y,Z) | -is_aligned(X,Y) | is_aligned(X,Z) | -organization(X).
% 60331 [] -equal(age(X,Y),zero) | is_aligned(X,Y) | -organization(X).
% 60332 [] -greater(age(X,Y),sigma) | -equal(age(X,Z),zero) | dissimilar(X,Z,Y) | -organization(X).
% 60333 [] -equal(age(X,Y),zero) | greater(age(X,Z),sigma) | -dissimilar(X,Y,Z) | -organization(X).
% 60334 [] -smaller_or_equal(age(X,Y),tau) | -positional_advantage(X,Y) | -robust_position(X).
% 60335 [] -greater(age(X,Y),tau) | positional_advantage(X,Y) | -robust_position(X).
% 60342 [] equal(hazard_of_mortality(X,Y),mod1) | -positional_advantage(X,Y) | is_aligned(X,Y) | has_immunity(X,Y) | -organization(X).
% 60343 [] equal(hazard_of_mortality(X,Y),mod2) | -is_aligned(X,Y) | positional_advantage(X,Y) | has_immunity(X,Y) | -organization(X).
% 60344 [] equal(hazard_of_mortality(X,Y),high) | positional_advantage(X,Y) | is_aligned(X,Y) | has_immunity(X,Y) | -organization(X).
% 60348 [] greater(high,mod2).
% 60350 [] greater(mod2,mod1).
% 60351 [] organization(sk3).
% 60352 [] robust_position(sk3).
% 60353 [] -has_endowment(sk3).
% 60354 [] equal(age(sk3,sk4),zero).
% 60356 [] greater(tau,zero).
% 60357 [] smaller(sigma,tau).
% 60358 [] smaller_or_equal(age(sk3,sk5),sigma).
% 60359 [] greater(age(sk3,sk6),sigma).
% 60360 [] smaller_or_equal(age(sk3,sk6),tau).
% 60361 [] greater(age(sk3,sk7),tau).
% 60362 [] -smaller(hazard_of_mortality(sk3,sk5),hazard_of_mortality(sk3,sk6)) | -smaller(hazard_of_mortality(sk3,sk7),hazard_of_mortality(sk3,sk5)) | -equal(hazard_of_mortality(sk3,sk5),hazard_of_mortality(sk3,sk4)).
% 60373 [binary:60358,60305] smaller(age(sk3,sk5),sigma) | equal(age(sk3,sk5),sigma).
% 60392 [binary:60357,60311] greater(tau,sigma).
% 60398 [binary:60356,60312] smaller(zero,tau).
% 60403 [binary:60348,60312] smaller(mod2,high).
% 60405 [binary:60350,60312] smaller(mod1,mod2).
% 60412 [binary:60306,60398] smaller_or_equal(zero,tau).
% 60427 [binary:60311.2,60313] -greater(X,Y) | -smaller(X,Y).
% 60457 [binary:60392,60314] -greater(X,tau) | greater(X,sigma).
% 60461 [binary:60313,60314.3,factor] -greater(X,X).
% 60465 [binary:60306,60315.2,binarycut:60307] greater(X,Y) | smaller_or_equal(X,Y).
% 60515 [binary:60351,60323.2,cut:60353] -has_immunity(sk3,X).
% 60556 [para:60354.1.1,60331.1.1,cut:60304,cut:60351] is_aligned(sk3,sk4).
% 60567 [para:60354.1.1,60332.2.1,cut:60304,cut:60351] -greater(age(sk3,X),sigma) | dissimilar(sk3,sk4,X).
% 60580 [para:60354.1.1,60333.1.1,cut:60304,cut:60351] greater(age(sk3,X),sigma) | -dissimilar(sk3,sk4,X).
% 60610 [binary:60352,60334.3] -smaller_or_equal(age(sk3,X),tau) | -positional_advantage(sk3,X).
% 60611 [para:60354.1.1,60334.1.1,cut:60412,cut:60352] -positional_advantage(sk3,sk4).
% 60612 [binary:60360,60334,cut:60352] -positional_advantage(sk3,sk6).
% 60618 [binary:60361,60335,cut:60352] positional_advantage(sk3,sk7).
% 60745 [binary:60556,60343.2,cut:60611,cut:60515,cut:60351] equal(hazard_of_mortality(sk3,sk4),mod2).
% 60797 [binary:60361,60457,binarydemod:60567] dissimilar(sk3,sk4,sk7).
% 60809 [binary:60465,60457] greater(X,sigma) | smaller_or_equal(X,tau).
% 60827 [binary:60326,60797,cut:60556] -is_aligned(sk3,sk7).
% 60832 [binary:60342.3,60827,cut:60618,cut:60515,cut:60351] equal(hazard_of_mortality(sk3,sk7),mod1).
% 63728 [binary:60359,60567] dissimilar(sk3,sk4,sk6).
% 63746 [binary:60326,63728,cut:60556] -is_aligned(sk3,sk6).
% 63751 [binary:60344.3,63746,cut:60612,cut:60515,cut:60351] equal(hazard_of_mortality(sk3,sk6),high).
% 64141 [binary:60427,60580] -smaller(age(sk3,X),sigma) | -dissimilar(sk3,sk4,X).
% 64143 [para:60373.2.1,60580.1.1,cut:60461,binarycut:64141] -dissimilar(sk3,sk4,sk5).
% 64157 [binary:60328,64143,cut:60556,cut:60351] is_aligned(sk3,sk5).
% 64158 [binary:60332.3,64143,demod:60354,cut:60304,cut:60351] -greater(age(sk3,sk5),sigma).
% 64179 [binary:60809,64158,binarydemod:60610] -positional_advantage(sk3,sk5).
% 64181 [binary:60343.3,64179,cut:64157,cut:60515,cut:60351] equal(hazard_of_mortality(sk3,sk5),mod2).
% 64205 [para:64181.1.1,60362.1.1,demod:60745,64181,60832,63751,cut:60403,cut:60405,cut:60304] 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 9
% clause depth limited to 3
% seconds given: 4
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 8366
% derived clauses: 245883
% kept clauses: 45867
% kept size sum: 744764
% kept mid-nuclei: 9917
% kept new demods: 84
% forw unit-subs: 83374
% forw double-subs: 30528
% forw overdouble-subs: 69145
% backward subs: 303
% fast unit cutoff: 3014
% full unit cutoff: 0
% dbl unit cutoff: 387
% real runtime : 13.8
% process. runtime: 13.6
% specific non-discr-tree subsumption statistics:
% tried: 7707505
% length fails: 184649
% strength fails: 2596446
% predlist fails: 2992622
% aux str. fails: 63849
% by-lit fails: 344611
% full subs tried: 1331599
% full subs fail: 1272188
%
% ; 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/MGT063-1+eq_r.in")
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