TSTP Solution File: MGT025-1 by Gandalf---c-2.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : MGT025-1 : 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 : art08.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 0.0s
% Output : Assurance 0.0s
% 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/MGT025-1+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(27,40,1,54,0,1)
%
%
% START OF PROOF
% 28 [] equal(X,X).
% 31 [] equal(number_of_organizations(X,Y),sum(cardinality_at_time(first_movers,Y),cardinality_at_time(efficient_producers,Y))) | -subpopulation(Z,X,Y) | -equal(Z,first_movers) | -environment(X).
% 32 [] subpopulation(first_movers,X,Y) | -in_environment(X,Y) | -environment(X).
% 33 [] subpopulation(efficient_producers,X,Y) | -in_environment(X,Y) | -environment(X).
% 34 [] -equal(X,sum(Y,Z)) | -constant(X) | decreases(Y) | increases(Y) | constant(Y).
% 35 [] -equal(X,sum(Y,Z)) | -constant(X) | increases(Y) | increases(Z) | constant(Y).
% 36 [] -equal(X,sum(Y,Z)) | -constant(X) | decreases(Z) | decreases(Y) | constant(Y).
% 37 [] -equal(X,sum(Y,Z)) | -constant(X) | decreases(Z) | increases(Z) | constant(Y).
% 38 [] -equal(X,sum(Y,Z)) | -constant(X) | decreases(Y) | increases(Y) | constant(Z).
% 41 [] -equal(X,sum(Y,Z)) | -constant(X) | decreases(Z) | increases(Z) | constant(Z).
% 42 [] -greater(cardinality_at_time(X,Y),zero) | equal(growth_rate(X,Y),zero) | -constant(cardinality_at_time(X,Y)) | -subpopulation(X,Z,Y) | -in_environment(Z,Y) | -environment(Z).
% 43 [] -greater(cardinality_at_time(X,Y),zero) | greater(growth_rate(X,Y),zero) | -increases(cardinality_at_time(X,Y)) | -subpopulation(X,Z,Y) | -in_environment(Z,Y) | -environment(Z).
% 44 [] -greater(cardinality_at_time(X,Y),zero) | greater(zero,growth_rate(X,Y)) | -decreases(cardinality_at_time(X,Y)) | -subpopulation(X,Z,Y) | -in_environment(Z,Y) | -environment(Z).
% 45 [] greater(cardinality_at_time(first_movers,X),zero) | -subpopulations(first_movers,efficient_producers,Y,X) | -environment(Y).
% 46 [] greater(cardinality_at_time(efficient_producers,X),zero) | -subpopulations(first_movers,efficient_producers,Y,X) | -environment(Y).
% 47 [] -subpopulations(first_movers,efficient_producers,X,Y) | in_environment(X,Y) | -environment(X).
% 49 [] environment(sk1).
% 50 [] subpopulations(first_movers,efficient_producers,sk1,sk2).
% 51 [] constant(number_of_organizations(sk1,sk2)).
% 52 [] -equal(growth_rate(first_movers,sk2),zero) | -equal(growth_rate(efficient_producers,sk2),zero).
% 53 [] -greater(growth_rate(first_movers,sk2),zero) | -greater(zero,growth_rate(efficient_producers,sk2)).
% 54 [] -greater(growth_rate(efficient_producers,sk2),zero) | -greater(zero,growth_rate(first_movers,sk2)).
% 85 [hyper:45,50,cut:49] greater(cardinality_at_time(first_movers,sk2),zero).
% 86 [hyper:46,50,cut:49] greater(cardinality_at_time(efficient_producers,sk2),zero).
% 87 [hyper:47,50,cut:49] in_environment(sk1,sk2).
% 88 [hyper:32,87,cut:49] subpopulation(first_movers,sk1,sk2).
% 89 [hyper:33,87,cut:49] subpopulation(efficient_producers,sk1,sk2).
% 95 [hyper:31,88,cut:28,cut:49] equal(number_of_organizations(sk1,sk2),sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2))).
% 114 [hyper:34,95,cut:51] decreases(cardinality_at_time(first_movers,sk2)) | increases(cardinality_at_time(first_movers,sk2)) | constant(cardinality_at_time(first_movers,sk2)).
% 115 [hyper:35,95,cut:51] increases(cardinality_at_time(efficient_producers,sk2)) | increases(cardinality_at_time(first_movers,sk2)) | constant(cardinality_at_time(first_movers,sk2)).
% 116 [hyper:36,95,cut:51] decreases(cardinality_at_time(first_movers,sk2)) | decreases(cardinality_at_time(efficient_producers,sk2)) | constant(cardinality_at_time(first_movers,sk2)).
% 117 [hyper:37,95,cut:51] decreases(cardinality_at_time(efficient_producers,sk2)) | increases(cardinality_at_time(efficient_producers,sk2)) | constant(cardinality_at_time(first_movers,sk2)).
% 118 [hyper:38,95,cut:51] decreases(cardinality_at_time(first_movers,sk2)) | increases(cardinality_at_time(first_movers,sk2)) | constant(cardinality_at_time(efficient_producers,sk2)).
% 121 [hyper:41,95,cut:51] decreases(cardinality_at_time(efficient_producers,sk2)) | increases(cardinality_at_time(efficient_producers,sk2)) | constant(cardinality_at_time(efficient_producers,sk2)).
% 139 [hyper:44,114,88,cut:85,cut:87,cut:49] greater(zero,growth_rate(first_movers,sk2)) | increases(cardinality_at_time(first_movers,sk2)) | constant(cardinality_at_time(first_movers,sk2)).
% 152 [hyper:43,115,89,cut:86,cut:87,cut:49] greater(growth_rate(efficient_producers,sk2),zero) | increases(cardinality_at_time(first_movers,sk2)) | constant(cardinality_at_time(first_movers,sk2)).
% 169 [hyper:44,116,89,cut:86,cut:87,cut:49] greater(zero,growth_rate(efficient_producers,sk2)) | decreases(cardinality_at_time(first_movers,sk2)) | constant(cardinality_at_time(first_movers,sk2)).
% 183 [hyper:43,117,89,cut:86,cut:87,cut:49] greater(growth_rate(efficient_producers,sk2),zero) | decreases(cardinality_at_time(efficient_producers,sk2)) | constant(cardinality_at_time(first_movers,sk2)).
% 196 [hyper:42,118,89,cut:86,cut:87,cut:49] equal(growth_rate(efficient_producers,sk2),zero) | decreases(cardinality_at_time(first_movers,sk2)) | increases(cardinality_at_time(first_movers,sk2)).
% 241 [hyper:42,121,89,cut:86,cut:87,cut:49] equal(growth_rate(efficient_producers,sk2),zero) | decreases(cardinality_at_time(efficient_producers,sk2)) | increases(cardinality_at_time(efficient_producers,sk2)).
% 333 [hyper:54,152,139] increases(cardinality_at_time(first_movers,sk2)) | constant(cardinality_at_time(first_movers,sk2)).
% 364 [hyper:43,333,88,cut:85,cut:87,cut:49] greater(growth_rate(first_movers,sk2),zero) | constant(cardinality_at_time(first_movers,sk2)).
% 435 [hyper:53,169,binarycut:364] decreases(cardinality_at_time(first_movers,sk2)) | constant(cardinality_at_time(first_movers,sk2)).
% 464 [hyper:44,435,88,cut:85,cut:87,cut:49] greater(zero,growth_rate(first_movers,sk2)) | constant(cardinality_at_time(first_movers,sk2)).
% 511 [hyper:54,183,binarycut:464] decreases(cardinality_at_time(efficient_producers,sk2)) | constant(cardinality_at_time(first_movers,sk2)).
% 542 [hyper:44,511,89,cut:86,cut:87,cut:49] greater(zero,growth_rate(efficient_producers,sk2)) | constant(cardinality_at_time(first_movers,sk2)).
% 558 [hyper:53,542,binarycut:364] constant(cardinality_at_time(first_movers,sk2)).
% 584 [hyper:42,558,88,cut:85,cut:87,cut:49] equal(growth_rate(first_movers,sk2),zero).
% 596 [hyper:52,196,demod:584,cut:28] decreases(cardinality_at_time(first_movers,sk2)) | increases(cardinality_at_time(first_movers,sk2)).
% 603 [hyper:43,596,88,demod:584,cut:85,cut:87,cut:49] decreases(cardinality_at_time(first_movers,sk2)) | greater(zero,zero).
% 608 [hyper:44,603,88,demod:584,cut:85,cut:87,cut:49] greater(zero,zero).
% 677 [hyper:52,241,demod:584,cut:28] decreases(cardinality_at_time(efficient_producers,sk2)) | increases(cardinality_at_time(efficient_producers,sk2)).
% 684 [hyper:43,677,89,cut:86,cut:87,cut:49] greater(growth_rate(efficient_producers,sk2),zero) | decreases(cardinality_at_time(efficient_producers,sk2)).
% 688 [hyper:54,684,demod:584,cut:608] decreases(cardinality_at_time(efficient_producers,sk2)).
% 692 [hyper:44,688,89,cut:86,cut:87,cut:49] greater(zero,growth_rate(efficient_producers,sk2)).
% 693 [hyper:53,692,demod:584,cut:608] 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 3
% seconds given: 25
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 87
% derived clauses: 890
% kept clauses: 88
% kept size sum: 934
% kept mid-nuclei: 477
% kept new demods: 2
% forw unit-subs: 134
% forw double-subs: 32
% forw overdouble-subs: 89
% backward subs: 54
% fast unit cutoff: 250
% full unit cutoff: 0
% dbl unit cutoff: 3
% real runtime : 0.3
% process. runtime: 0.3
% specific non-discr-tree subsumption statistics:
% tried: 900
% length fails: 1
% strength fails: 16
% predlist fails: 359
% aux str. fails: 0
% by-lit fails: 380
% full subs tried: 18
% full subs fail: 18
%
% ; 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/MGT025-1+eq_r.in")
%
%------------------------------------------------------------------------------