TSTP Solution File: SET097-7 by Gandalf---c-2.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : SET097-7 : 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 : 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 368.2s
% Output   : Assurance 368.2s
% 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/SET/SET097-7+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(144,40,0,288,0,0,432611,4,2101,551677,5,2801,551678,1,2803,551678,50,2809,551678,40,2809,551822,0,2809,586575,3,4211,590241,4,4911,607537,5,5614,607539,5,5615,607539,1,5615,607539,50,5618,607539,40,5618,607683,0,5618,639943,3,6171,644112,4,6462,651199,5,6719,651200,5,6719,651200,1,6719,651200,50,6722,651200,40,6722,651344,0,6722,686235,3,7590,690701,4,7998,701754,5,8423,701754,5,8424,701754,1,8424,701754,50,8427,701754,40,8427,701898,0,8427,749751,3,9278,753849,4,9703,768055,5,10128,768055,5,10129,768056,1,10129,768056,50,10132,768056,40,10132,768200,0,10132,914513,3,14485,921391,4,16658,948925,5,18835,948925,5,18837,948925,1,18837,948925,50,18841,948925,40,18841,949069,0,18842,993260,3,20243,995192,4,20943,1055315,5,21643,1055316,1,21644,1055316,50,21646,1055316,40,21646,1055460,0,21646,1178899,3,24548,1214676,4,25997,1266511,5,27447,1266512,5,27449,1266513,1,27449,1266513,50,27455,1266513,40,27455,1266657,0,27490,1328007,3,28898,1337850,4,29591,1354007,5,30291,1354007,5,30292,1354008,1,30292,1354008,50,30297,1354008,40,30297,1354152,0,30328,1374324,3,30887,1377711,4,31154,1385542,5,31429,1385542,5,31429,1385542,1,31429,1385542,50,31430,1385542,40,31430,1385686,0,31430,1430228,3,32832,1432898,4,33532,1485328,5,34231,1485329,5,34232,1485329,1,34232,1485329,50,34234,1485329,40,34234,1485473,0,34234,1509409,3,35636,1513964,4,36339,1529649,5,37035,1529650,5,37035,1529651,1,37035,1529651,50,37038,1529651,40,37038,1529795,0,37058)
% 
% 
% START OF PROOF
% 1490652 [?] ?
% 1529654 [] member(not_subclass_element(X,Y),X) | subclass(X,Y).
% 1529655 [] -member(not_subclass_element(X,Y),Y) | subclass(X,Y).
% 1529659 [] -subclass(Y,X) | -subclass(X,Y) | equal(X,Y).
% 1529668 [] member(ordered_pair(X,Y),cross_product(Z,U)) | -member(Y,U) | -member(X,Z).
% 1529675 [] member(X,intersection(Y,Z)) | -member(X,Z) | -member(X,Y).
% 1529677 [] member(X,complement(Y)) | -member(X,universal_class) | member(X,Y).
% 1529747 [] -member(ordered_pair(X,Y),cross_product(Z,U)) | member(Y,universal_class).
% 1529755 [] -member(X,null_class).
% 1529756 [] subclass(null_class,X).
% 1529793 [] -member(not_subclass_element(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class),intersection(complement(singleton(not_subclass_element(x,null_class))),x)).
% 1529798 [input:1529668,factor:binarydemod:1529747] member(X,universal_class) | -member(X,Y).
% 1529815 [binary:1529793,1529654] subclass(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class).
% 1529828 [binary:1529815,1529659,cut:1529756] equal(null_class,intersection(complement(singleton(not_subclass_element(x,null_class))),x)).
% 1529975 [para:1529828.1.2,1529675.1.2,cut:1529755] -member(X,complement(singleton(not_subclass_element(x,null_class)))) | -member(X,x).
% 1529994 [binary:1529975,1529677,binarycut:1529798] member(X,singleton(not_subclass_element(x,null_class))) | -member(X,x).
% 1530087 [binary:1529655,1529994] -member(not_subclass_element(X,singleton(not_subclass_element(x,null_class))),x) | subclass(X,singleton(not_subclass_element(x,null_class))).
% 1536795 [binary:1529654,1530087,cut:1490652] contradiction
% END OF PROOF
% 
% Proof found by the following strategy:
% 
% using binary resolution
% using weight-order strategy
% not using sos 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:    25849
%  derived clauses:   3776548
%  kept clauses:      592965
%  kept size sum:     365870
%  kept mid-nuclei:   404557
%  kept new demods:   5402
%  forw unit-subs:    1646721
%  forw double-subs: 442168
%  forw overdouble-subs: 151918
%  backward subs:     1424
%  fast unit cutoff:  46144
%  full unit cutoff:  9773
%  dbl  unit cutoff:  2352
%  real runtime  :  373.96
%  process. runtime:  371.82
% specific non-discr-tree subsumption statistics: 
%  tried:           17616794
%  length fails:    493849
%  strength fails:  3889993
%  predlist fails:  10702015
%  aux str. fails:  336831
%  by-lit fails:    170572
%  full subs tried: 1918931
%  full subs fail:  1765831
% 
% ; 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/SET/SET097-7+eq_r.in")
% 
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