%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : SET230-6 : 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 : 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 50.0s
% Output : Assurance 50.0s
% 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/SET/SET230-6+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(115,40,1,230,0,1,354447,4,2103,355245,5,2803,355246,1,2806,355246,50,2812,355246,40,2812,355361,0,2812,379099,3,4218,382331,4,4915,395172,5,5613,395172,5,5613,395173,1,5613,395173,50,5616,395173,40,5616,395288,0,5616)
%
%
% START OF PROOF
% 395176 [] member(not_subclass_element(X,Y),X) | subclass(X,Y).
% 395177 [] -member(not_subclass_element(X,Y),Y) | subclass(X,Y).
% 395181 [] -subclass(Y,X) | -subclass(X,Y) | equal(X,Y).
% 395188 [] -member(ordered_pair(X,Y),cross_product(Z,U)) | member(X,Z).
% 395189 [] -member(ordered_pair(X,Y),cross_product(Z,U)) | member(Y,U).
% 395190 [] member(ordered_pair(X,Y),cross_product(Z,U)) | -member(Y,U) | -member(X,Z).
% 395287 [] equal(cross_product(u,u),cross_product(w,w)).
% 395288 [] -equal(u,w).
% 395290 [input:395190,factor] member(ordered_pair(X,X),cross_product(Y,Y)) | -member(X,Y).
% 395334 [binary:395288,395181.3] -subclass(u,w) | -subclass(w,u).
% 395353 [binary:395176.2,395334] member(not_subclass_element(u,w),u) | -subclass(w,u).
% 395422 [binary:395177,395188.2] -member(ordered_pair(not_subclass_element(X,Y),Z),cross_product(Y,U)) | subclass(X,Y).
% 395459 [para:395287.1.1,395189.1.2] -member(ordered_pair(X,Y),cross_product(w,w)) | member(Y,u).
% 403994 [binary:395290.2,395353,demod:395287,binarydemod:395422,binarycut:395334] -subclass(w,u).
% 403997 [binary:395176.2,403994] member(not_subclass_element(w,u),w).
% 404292 [binary:395290.2,403997,binarydemod:395177,395459,cut:403994] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% not using sos strategy
% using double 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 6
% seconds given: 11
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 2923
% derived clauses: 565522
% kept clauses: 112334
% kept size sum: 387389
% kept mid-nuclei: 21192
% kept new demods: 205
% forw unit-subs: 122101
% forw double-subs: 15940
% forw overdouble-subs: 1179
% backward subs: 109
% fast unit cutoff: 845
% full unit cutoff: 24
% dbl unit cutoff: 127
% real runtime : 57.33
% process. runtime: 57.29
% specific non-discr-tree subsumption statistics:
% tried: 29573
% length fails: 1525
% strength fails: 767
% predlist fails: 19016
% aux str. fails: 190
% by-lit fails: 51
% full subs tried: 7839
% full subs fail: 6695
%
% ; 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/SET230-6+eq_r.in")
%
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