TSTP Solution File: NUM099-1 by Gandalf---c-2.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : NUM099-1 : TPTP v3.4.2. Bugfixed v2.1.0.
% 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 437.1s
% Output : Assurance 437.1s
% 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/NUM/NUM099-1+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: neq
% detected subclass: big
%
% strategies selected:
% (hyper 28 #f 6 9)
% (binary-unit 28 #f 6 9)
% (binary-double 11 #f 6 9)
% (binary-double 17 #f)
% (binary-double 17 #t)
% (binary 87 #t 6 9)
% (binary-order 28 #f 6 9)
% (binary-posweight-order 58 #f)
% (binary-posweight-lex-big-order 28 #f)
% (binary-posweight-lex-small-order 11 #f)
% (binary-order-sos 28 #t)
% (binary-unit-uniteq 28 #f)
% (binary-weightorder 28 #f)
% (binary-weightorder-sos 17 #f)
% (binary-order 28 #f)
% (hyper-order 17 #f)
% (binary 141 #t)
%
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(160,40,1,320,0,1,208226,4,2163,232574,5,2802,232575,1,2802,232575,50,2809,232575,40,2809,232735,0,2809,256824,3,4214,260142,4,4912,274986,5,5611,274986,5,5611,274986,1,5611,274986,50,5614,274986,40,5614,275146,0,5614,303451,3,6165,307011,4,6456,314236,5,6715,314237,5,6715,314237,1,6715,314237,50,6718,314237,40,6718,314397,0,6718,344139,3,7578,347731,4,7995,356446,5,8419,356447,5,8420,356447,1,8420,356447,50,8422,356447,40,8422,356607,0,8422,390619,3,9273,395363,4,9698,400805,5,10123,400807,5,10124,400808,1,10124,400808,50,10126,400808,40,10126,400968,0,10126,484725,3,14478,491013,4,16652,508008,5,18827,508008,5,18830,508009,1,18830,508009,50,18835,508009,40,18835,508169,0,18835,556334,3,20236,557319,4,20936,593126,5,21637,593126,1,21637,593126,50,21638,593126,40,21638,593286,0,21638,706323,3,24566,733384,4,25989,839803,5,27440,839804,1,27440,839804,50,27447,839804,40,27447,839964,0,27481,899756,3,28886,910573,4,29584,925378,5,30286,925379,5,30288,925380,1,30288,925380,50,30292,925380,40,30292,925540,0,30324,950685,3,30878,951972,4,31150,956444,5,31425,956444,1,31425,956444,50,31426,956444,40,31426,956604,0,31426,1005322,3,32827,1006311,4,33527,1043473,5,34227,1043473,1,34227,1043473,50,34228,1043473,40,34228,1043633,0,34228,1064882,3,35639,1068282,4,36331,1082164,5,37029,1082165,5,37029,1082166,1,37029,1082166,50,37032,1082166,40,37032,1082326,0,37032,1126445,3,38433,1127170,4,39133,1131990,5,39833,1131991,1,39833,1131991,50,39835,1131991,40,39835,1132151,0,39835,1157706,3,40687,1159206,4,41111,1174826,5,41536,1174826,5,41536,1174826,1,41536,1174826,50,41538,1174826,40,41538,1174986,0,41538,1213713,3,42939,1216801,4,43639)
%
%
% START OF PROOF
% 1138874 [?] ?
% 1140053 [?] ?
% 1174828 [] -member(X,Y) | -subclass(Y,Z) | member(X,Z).
% 1174829 [] member(not_subclass_element(X,Y),X) | subclass(X,Y).
% 1174830 [] -member(not_subclass_element(X,Y),Y) | subclass(X,Y).
% 1174831 [] subclass(X,universal_class).
% 1174834 [] -subclass(Y,X) | -subclass(X,Y) | equal(X,Y).
% 1174835 [] -member(X,unordered_pair(Y,Z)) | equal(X,Y) | equal(X,Z).
% 1174839 [] equal(unordered_pair(X,X),singleton(X)).
% 1174841 [] -member(ordered_pair(X,Y),cross_product(Z,U)) | member(X,Z).
% 1174844 [] equal(ordered_pair(first(X),second(X)),X) | -member(X,cross_product(Y,Z)).
% 1174851 [] -member(X,complement(Y)) | -member(X,Y).
% 1174874 [] member(null_class,X) | -inductive(X).
% 1174876 [] -subclass(image(successor_relation,X),X) | -member(null_class,X) | inductive(X).
% 1174877 [] inductive(omega).
% 1174880 [] equal(domain_of(restrict(element_relation,universal_class,X)),sum_class(X)).
% 1174893 [] member(regular(X),X) | equal(X,null_class).
% 1174944 [] -subclass(cross_product(X,X),union(identity_relation,symmetrization_of(Y))) | connected(Y,X).
% 1174955 [] -equal(not_well_ordering(X,Y),null_class) | -connected(X,Y) | well_ordering(X,Y).
% 1174956 [] subclass(not_well_ordering(X,Y),Y) | -connected(X,Y) | well_ordering(X,Y).
% 1174959 [] subclass(domain_of(restrict(X,Y,Z)),Z) | -section(X,Z,Y).
% 1174960 [] -subclass(domain_of(restrict(X,Y,Z)),Z) | section(X,Z,Y) | -subclass(Z,Y).
% 1174963 [] -subclass(sum_class(X),X) | -well_ordering(element_relation,X) | -member(X,universal_class) | member(X,ordinal_numbers).
% 1174986 [] -subclass(singleton(null_class),ordinal_numbers).
% 1175001 [binary:1174831,1174828.2] member(X,universal_class) | -member(X,Y).
% 1175013 [binary:1174986,1174829.2] member(not_subclass_element(singleton(null_class),ordinal_numbers),singleton(null_class)).
% 1175034 [para:1174839.1.2,1175013.1.2] member(not_subclass_element(singleton(null_class),ordinal_numbers),unordered_pair(null_class,null_class)).
% 1175215 [binary:1174874,1175001.2,slowcut:1174877] member(null_class,universal_class).
% 1175246 [para:1174844.1.1,1174841.1.1,factor] -member(X,cross_product(Y,Z)) | member(first(X),Y).
% 1175618 [binary:1175001,1174851.2,factor] -member(X,complement(universal_class)).
% 1175633 [binary:1174829,1175618] subclass(complement(universal_class),X).
% 1176736 [binary:1174831,1174876,cut:1175215] inductive(universal_class).
% 1177696 [binary:1175618,1174893] equal(complement(universal_class),null_class).
% 1178098 [para:1177696.1.1,1175633.1.1] subclass(null_class,X).
% 1178115 [binary:1174834,1178098] -subclass(X,null_class) | equal(X,null_class).
% 1181314 [binary:1178115,1174956,cut:1138874] equal(not_well_ordering(X,null_class),null_class) | well_ordering(X,null_class).
% 1181622 [para:1174880.1.1,1174959.1.1] subclass(sum_class(X),X) | -section(element_relation,X,universal_class).
% 1181642 [binary:1178115,1174959,cut:1140053] equal(domain_of(restrict(X,Y,null_class)),null_class).
% 1181688 [binary:1175633,1174960.3,demod:1181642,1177696,cut:1178098] section(X,null_class,Y).
% 1181866 [binary:1174874,1174963.3,cut:1176736,binarydemod:1181622,cut:1181688] -well_ordering(element_relation,null_class) | member(null_class,ordinal_numbers).
% 1187178 [binary:1174835,1175034] equal(not_subclass_element(singleton(null_class),ordinal_numbers),null_class).
% 1187716 [para:1187178.1.1,1174830.1.1,cut:1174986] -member(null_class,ordinal_numbers).
% 1204105 [binary:1175618,1175246.2,demod:1177696] -member(X,cross_product(null_class,Y)).
% 1204251 [binary:1174829,1204105] subclass(cross_product(null_class,X),Y).
% 1204261 [binary:1174944,1204251] connected(X,null_class).
% 1204268 [binary:1174955.2,1204261,binarycut:1181314] well_ordering(X,null_class).
% 1236113 [binary:1204268,1181866,cut:1187716] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% using term-depth-order strategy
% not using sos strategy
% using unit paramodulation strategy
% using unit strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% using clause demodulation
% seconds given: 28
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 35842
% derived clauses: 3094919
% kept clauses: 655550
% kept size sum: 882224
% kept mid-nuclei: 318586
% kept new demods: 2267
% forw unit-subs: 1291698
% forw double-subs: 405685
% forw overdouble-subs: 162217
% backward subs: 4662
% fast unit cutoff: 49770
% full unit cutoff: 9732
% dbl unit cutoff: 2923
% real runtime : 446.8
% process. runtime: 442.81
% specific non-discr-tree subsumption statistics:
% tried: 12857092
% length fails: 244526
% strength fails: 2628608
% predlist fails: 5370660
% aux str. fails: 786427
% by-lit fails: 1142039
% full subs tried: 1925941
% full subs fail: 1765687
%
% ; 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/NUM/NUM099-1+eq_r.in")
%
%------------------------------------------------------------------------------