TSTP Solution File: MGT064-1 by Gandalf---c-2.6

View Problem - Process Solution

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% File     : Gandalf---c-2.6
% Problem  : MGT064-1 : 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 : art05.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
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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/MGT/MGT064-1+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,sk6),hazard_of_mortality(sk3,sk7)) | -smaller(hazard_of_mortality(sk3,sk7),hazard_of_mortality(sk3,sk5)) | -equal(hazard_of_mortality(sk3,sk5),hazard_of_mortality(sk3,sk4)).
% was split for some strategies as: 
% -smaller(hazard_of_mortality(sk3,sk6),hazard_of_mortality(sk3,sk7)).
% -smaller(hazard_of_mortality(sk3,sk7),hazard_of_mortality(sk3,sk5)).
% -equal(hazard_of_mortality(sk3,sk5),hazard_of_mortality(sk3,sk4)).
% 
% ********* EMPTY CLAUSE DERIVED *********
% 
% 
% timer checkpoints: c(59,40,1,118,0,1,31849,4,905,43509,5,1202,43510,1,1202,43510,50,1202,43510,40,1202,43569,0,1202)
% 
% 
% START OF PROOF
% 43511 [] equal(X,X).
% 43512 [] -smaller_or_equal(X,Y) | smaller(X,Y) | equal(X,Y).
% 43513 [] -smaller(X,Y) | smaller_or_equal(X,Y).
% 43518 [] -smaller(X,Y) | greater(Y,X).
% 43519 [] -greater(X,Y) | smaller(Y,X).
% 43520 [] -greater(X,Y) | -greater(Y,X).
% 43521 [] -greater(Y,Z) | -greater(X,Y) | greater(X,Z).
% 43530 [] -has_immunity(X,Y) | -organization(X) | has_endowment(X).
% 43533 [] -dissimilar(X,Y,Z) | -is_aligned(X,Y) | -is_aligned(X,Z).
% 43535 [] dissimilar(X,Y,Z) | -is_aligned(X,Y) | is_aligned(X,Z) | -organization(X).
% 43538 [] -equal(age(X,Y),zero) | is_aligned(X,Y) | -organization(X).
% 43539 [] -greater(age(X,Y),sigma) | -equal(age(X,Z),zero) | dissimilar(X,Z,Y) | -organization(X).
% 43540 [] -equal(age(X,Y),zero) | greater(age(X,Z),sigma) | -dissimilar(X,Y,Z) | -organization(X).
% 43541 [] -smaller_or_equal(age(X,Y),tau) | -positional_advantage(X,Y) | -robust_position(X).
% 43542 [] -greater(age(X,Y),tau) | positional_advantage(X,Y) | -robust_position(X).
% 43548 [] equal(hazard_of_mortality(X,Y),low) | -positional_advantage(X,Y) | -is_aligned(X,Y) | has_immunity(X,Y) | -organization(X).
% 43549 [] equal(hazard_of_mortality(X,Y),mod1) | -positional_advantage(X,Y) | is_aligned(X,Y) | has_immunity(X,Y) | -organization(X).
% 43550 [] equal(hazard_of_mortality(X,Y),mod2) | -is_aligned(X,Y) | positional_advantage(X,Y) | has_immunity(X,Y) | -organization(X).
% 43553 [] greater(mod1,low).
% 43557 [] greater(mod2,mod1).
% 43558 [] organization(sk3).
% 43559 [] robust_position(sk3).
% 43560 [] -has_endowment(sk3).
% 43561 [] equal(age(sk3,sk4),zero).
% 43563 [] greater(tau,zero).
% 43564 [] greater(sigma,tau).
% 43565 [] smaller_or_equal(age(sk3,sk5),tau).
% 43566 [] greater(age(sk3,sk6),tau).
% 43567 [] smaller_or_equal(age(sk3,sk6),sigma).
% 43568 [] greater(age(sk3,sk7),sigma).
% 43569 [] -smaller(hazard_of_mortality(sk3,sk7),hazard_of_mortality(sk3,sk5)) | -smaller(hazard_of_mortality(sk3,sk6),hazard_of_mortality(sk3,sk7)) | -equal(hazard_of_mortality(sk3,sk5),hazard_of_mortality(sk3,sk4)).
% 43580 [binary:43567,43512] smaller(age(sk3,sk6),sigma) | equal(age(sk3,sk6),sigma).
% 43599 [binary:43563,43519] smaller(zero,tau).
% 43602 [binary:43553,43519] smaller(low,mod1).
% 43607 [binary:43557,43519] smaller(mod1,mod2).
% 43622 [binary:43513,43599] smaller_or_equal(zero,tau).
% 43631 [binary:43564,43521] -greater(X,sigma) | greater(X,tau).
% 43702 [binary:43558,43530.2,cut:43560] -has_immunity(sk3,X).
% 43738 [binary:43568,43631] greater(age(sk3,sk7),tau).
% 43774 [para:43561.1.1,43538.1.1,cut:43511,cut:43558] is_aligned(sk3,sk4).
% 43782 [binary:43535.2,43774,cut:43558] dissimilar(sk3,sk4,X) | is_aligned(sk3,X).
% 43793 [para:43561.1.1,43539.2.1,cut:43511,cut:43558] -greater(age(sk3,X),sigma) | dissimilar(sk3,sk4,X).
% 43808 [para:43561.1.1,43540.1.1,cut:43511,cut:43558] greater(age(sk3,X),sigma) | -dissimilar(sk3,sk4,X).
% 43818 [para:43561.1.1,43541.1.1,cut:43622,cut:43559] -positional_advantage(sk3,sk4).
% 43819 [binary:43565,43541,cut:43559] -positional_advantage(sk3,sk5).
% 43822 [binary:43566,43542,cut:43559] positional_advantage(sk3,sk6).
% 43823 [binary:43738,43542,cut:43559] positional_advantage(sk3,sk7).
% 43824 [binary:43542.2,43819,cut:43559] -greater(age(sk3,sk5),tau).
% 43832 [binary:43631.2,43824,binarydemod:43808] -dissimilar(sk3,sk4,sk5).
% 43833 [binary:43535,43832,cut:43774,cut:43558] is_aligned(sk3,sk5).
% 43887 [binary:43774,43550.2,cut:43818,cut:43702,cut:43558] equal(hazard_of_mortality(sk3,sk4),mod2).
% 43888 [binary:43819,43550.3,cut:43833,cut:43702,cut:43558] equal(hazard_of_mortality(sk3,sk5),mod2).
% 44183 [binary:43568,43793] dissimilar(sk3,sk4,sk7).
% 44184 [binary:43533,44183,cut:43774] -is_aligned(sk3,sk7).
% 44189 [binary:43549.3,44184,cut:43823,cut:43702,cut:43558] equal(hazard_of_mortality(sk3,sk7),mod1).
% 44191 [para:44189.1.1,43569.1.1,demod:43887,44189,43888,cut:43607,cut:43511] -smaller(hazard_of_mortality(sk3,sk6),mod1).
% 44195 [para:43548.1.1,44191.1.1,cut:43602,cut:43822,cut:43702,cut:43558] -is_aligned(sk3,sk6).
% 44203 [binary:43782.2,44195] dissimilar(sk3,sk4,sk6).
% 44206 [binary:43540.3,44203,demod:43561,cut:43511,cut:43558] greater(age(sk3,sk6),sigma).
% 44210 [binary:43520,44206] -greater(sigma,age(sk3,sk6)).
% 44219 [binary:43518.2,44210] -smaller(age(sk3,sk6),sigma).
% 44221 [para:43580.2.1,44210.1.2,cut:44219] -greater(sigma,sigma).
% 44225 [binary:43512.2,44219,cut:43567] equal(age(sk3,sk6),sigma).
% 44227 [para:44225.1.1,44206.1.1,cut:44221] contradiction
% END OF PROOF
% 
% Proof found by the following strategy:
% 
% using binary resolution
% not using sos strategy
% using unit 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:    1190
%  derived clauses:   205673
%  kept clauses:      33030
%  kept size sum:     727658
%  kept mid-nuclei:   6231
%  kept new demods:   9
%  forw unit-subs:    67369
%  forw double-subs: 26982
%  forw overdouble-subs: 69027
%  backward subs:     150
%  fast unit cutoff:  2671
%  full unit cutoff:  0
%  dbl  unit cutoff:  449
%  real runtime  :  12.5
%  process. runtime:  12.5
% specific non-discr-tree subsumption statistics: 
%  tried:           10376303
%  length fails:    349079
%  strength fails:  4299144
%  predlist fails:  3451166
%  aux str. fails:  88962
%  by-lit fails:    633293
%  full subs tried: 1150077
%  full subs fail:  1092742
% 
% ; 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/MGT064-1+eq_r.in")
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