TSTP Solution File: SET144-6 by Gandalf---c-2.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : SET144-6 : 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 : art02.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 408.3s
% Output : Assurance 408.3s
% 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/SET144-6+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(114,40,0,228,0,0,366684,4,2118,367373,5,2802,367374,1,2805,367374,50,2812,367374,40,2812,367488,0,2812,391474,3,4213,395105,4,4916,405821,5,5613,405822,5,5613,405823,1,5613,405823,50,5616,405823,40,5616,405937,0,5616,434689,3,6170,438461,4,6442,452021,5,6717,452022,5,6717,452023,1,6717,452023,50,6720,452023,40,6720,452137,0,6720,487409,3,7587,492140,4,7997,499084,5,8421,499085,5,8422,499085,1,8422,499085,50,8425,499085,40,8425,499199,0,8425,543233,3,9281,548294,4,9701,548506,5,10126,548507,1,10126,548507,50,10128,548507,40,10128,548621,0,10128,683154,3,14481,690351,4,16654,695593,5,18829,695594,1,18829,695594,50,18831,695594,40,18831,695708,0,18831,750931,3,20232,752279,4,20932,795243,5,21632,795244,5,21632,795244,1,21632,795244,50,21640,795244,40,21640,795358,0,21640,908829,3,24543,938367,4,25991,1097748,5,27472,1097749,5,27474,1097752,1,27474,1097752,50,27482,1097752,40,27482,1097866,0,27482,1140271,3,28883,1149558,4,29583,1164424,5,30283,1164427,1,30284,1164427,50,30287,1164427,40,30287,1164541,0,30287,1192258,3,30840,1194638,4,31113,1199115,5,31388,1199115,1,31389,1199115,50,31390,1199115,40,31390,1199229,0,31390,1249420,3,32792,1251732,4,33492,1303017,5,34191,1303018,1,34191,1303018,50,34193,1303018,40,34193,1303132,0,34193,1323229,3,35605,1325150,4,36294,1337274,5,36994,1337275,5,36995,1337276,1,36995,1337276,50,36997,1337276,40,36997,1337390,0,36997,1379546,3,38398,1380416,4,39098,1385442,5,39798,1385443,1,39798,1385443,50,39800,1385443,40,39800,1385557,0,39800,1411723,3,40651,1413851,4,41076)
%
%
% START OF PROOF
% 1385445 [] -member(X,Y) | -subclass(Y,Z) | member(X,Z).
% 1385446 [] member(not_subclass_element(X,Y),X) | subclass(X,Y).
% 1385447 [] -member(not_subclass_element(X,Y),Y) | subclass(X,Y).
% 1385448 [] subclass(X,universal_class).
% 1385449 [] -equal(X,Y) | subclass(X,Y).
% 1385451 [] -subclass(Y,X) | -subclass(X,Y) | equal(X,Y).
% 1385453 [] member(X,unordered_pair(X,Y)) | -member(X,universal_class).
% 1385455 [] member(unordered_pair(X,Y),universal_class).
% 1385456 [] equal(unordered_pair(X,X),singleton(X)).
% 1385457 [] equal(unordered_pair(singleton(X),unordered_pair(X,singleton(Y))),ordered_pair(X,Y)).
% 1385459 [] -member(ordered_pair(X,Y),cross_product(Z,U)) | member(Y,U).
% 1385460 [] member(ordered_pair(X,Y),cross_product(Z,U)) | -member(Y,U) | -member(X,Z).
% 1385461 [] equal(ordered_pair(first(X),second(X)),X) | -member(X,cross_product(Y,Z)).
% 1385462 [] subclass(element_relation,cross_product(universal_class,universal_class)).
% 1385465 [] -member(X,intersection(Y,Z)) | member(X,Y).
% 1385466 [] -member(X,intersection(Y,Z)) | member(X,Z).
% 1385467 [] member(X,intersection(Y,Z)) | -member(X,Z) | -member(X,Y).
% 1385468 [] -member(X,complement(Y)) | -member(X,Y).
% 1385469 [] member(X,complement(Y)) | -member(X,universal_class) | member(X,Y).
% 1385488 [] subclass(successor_relation,cross_product(universal_class,universal_class)).
% 1385491 [] member(null_class,X) | -inductive(X).
% 1385494 [] inductive(omega).
% 1385510 [] member(regular(X),X) | equal(X,null_class).
% 1385548 [] equal(intersection(complement(compose(element_relation,complement(identity_relation))),element_relation),singleton_relation).
% 1385557 [] -equal(intersection(x,y),intersection(y,x)).
% 1385569 [binary:1385494,1385491.2] member(null_class,omega).
% 1385571 [binary:1385448,1385445.2] member(X,universal_class) | -member(X,Y).
% 1385576 [binary:1385445,1385569] -subclass(omega,X) | member(null_class,X).
% 1385580 [binary:1385445.2,1385462] member(X,cross_product(universal_class,universal_class)) | -member(X,element_relation).
% 1385581 [binary:1385445.2,1385488] member(X,cross_product(universal_class,universal_class)) | -member(X,successor_relation).
% 1385591 [para:1385456.1.1,1385455.1.1] member(singleton(X),universal_class).
% 1385606 [binary:1385557,1385451.3] -subclass(intersection(x,y),intersection(y,x)) | -subclass(intersection(y,x),intersection(x,y)).
% 1385625 [binary:1385446.2,1385606] member(not_subclass_element(intersection(x,y),intersection(y,x)),intersection(x,y)) | -subclass(intersection(y,x),intersection(x,y)).
% 1385629 [binary:1385447.2,1385606] -member(not_subclass_element(intersection(x,y),intersection(y,x)),intersection(y,x)) | -subclass(intersection(y,x),intersection(x,y)).
% 1385655 [binary:1385591,1385453.2] member(singleton(X),unordered_pair(singleton(X),Y)).
% 1385698 [binary:1385448,1385576] member(null_class,universal_class).
% 1385859 [binary:1385569,1385468.2] -member(null_class,complement(omega)).
% 1385864 [binary:1385571,1385468.2,factor] -member(X,complement(universal_class)).
% 1386018 [binary:1385459.2,1385466] -member(ordered_pair(X,Y),cross_product(Z,intersection(U,V))) | member(Y,V).
% 1386197 [binary:1385859,1385469.3,cut:1385698] member(null_class,complement(complement(omega))).
% 1386474 [para:1385457.1.1,1385655.1.2] member(singleton(X),ordered_pair(X,Y)).
% 1386491 [para:1385456.1.2,1386474.1.1] member(unordered_pair(X,X),ordered_pair(X,Y)).
% 1386836 [binary:1385864,1385510] equal(complement(universal_class),null_class).
% 1386887 [para:1386836.1.1,1385468.1.2,binarycut:1385571] -member(X,null_class).
% 1386905 [binary:1385445.3,1386887] -subclass(X,null_class) | -member(Y,X).
% 1387035 [binary:1385449.2,1386905] -equal(X,null_class) | -member(Y,X).
% 1387045 [binary:1385461,1387035,slowcut:1386491] -member(null_class,cross_product(X,Y)).
% 1389684 [binary:1387045,1385580] -member(null_class,element_relation).
% 1389696 [binary:1385466.2,1389684] -member(null_class,intersection(X,element_relation)).
% 1389740 [binary:1387045,1385581] -member(null_class,successor_relation).
% 1389747 [binary:1385445.3,1389740] -member(null_class,X) | -subclass(X,successor_relation).
% 1390156 [para:1385548.1.1,1389696.1.2] -member(null_class,singleton_relation).
% 1390158 [binary:1385445.3,1390156] -member(null_class,X) | -subclass(X,singleton_relation).
% 1390630 [binary:1386197,1389747] -subclass(complement(complement(omega)),successor_relation).
% 1390738 [binary:1385446.2,1390630] member(not_subclass_element(complement(complement(omega)),successor_relation),complement(complement(omega))).
% 1390852 [binary:1385460.2,1385625,binarydemod:1386018,slowcut:1390738] member(not_subclass_element(intersection(x,y),intersection(y,x)),y) | -subclass(intersection(y,x),intersection(x,y)).
% 1390856 [binary:1385465,1385625] member(not_subclass_element(intersection(x,y),intersection(y,x)),x) | -subclass(intersection(y,x),intersection(x,y)).
% 1390965 [binary:1385467,1385629,binarycut:1390856,binarycut:1390852] -subclass(intersection(y,x),intersection(x,y)).
% 1390982 [binary:1385446.2,1390965] member(not_subclass_element(intersection(y,x),intersection(x,y)),intersection(y,x)).
% 1390983 [binary:1385447.2,1390965] -member(not_subclass_element(intersection(y,x),intersection(x,y)),intersection(x,y)).
% 1391239 [binary:1386197,1390158] -subclass(complement(complement(omega)),singleton_relation).
% 1391403 [binary:1385446.2,1391239] member(not_subclass_element(complement(complement(omega)),singleton_relation),complement(complement(omega))).
% 1391456 [binary:1385460.2,1390982,binarydemod:1386018,slowcut:1391403] member(not_subclass_element(intersection(y,x),intersection(x,y)),x).
% 1391460 [binary:1385465,1390982] member(not_subclass_element(intersection(y,x),intersection(x,y)),y).
% 1414382 [binary:1390983,1385467,cut:1391460,cut:1391456] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% using weight-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: 17
%
%
% old unit clauses discarded
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 30374
% derived clauses: 2895378
% kept clauses: 589223
% kept size sum: 0
% kept mid-nuclei: 323708
% kept new demods: 1692
% forw unit-subs: 968741
% forw double-subs: 360001
% forw overdouble-subs: 153269
% backward subs: 3543
% fast unit cutoff: 51842
% full unit cutoff: 9110
% dbl unit cutoff: 961
% real runtime : 413.28
% process. runtime: 411.17
% specific non-discr-tree subsumption statistics:
% tried: 43532601
% length fails: 2049892
% strength fails: 6606399
% predlist fails: 26059268
% aux str. fails: 977618
% by-lit fails: 1056878
% full subs tried: 6342581
% full subs fail: 6188551
%
% ; 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/SET144-6+eq_r.in")
%
%------------------------------------------------------------------------------