%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : SET016-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm  : add_equality:r
% Format   : otter:hypothesis:set(auto),clear(print_given)
% Command  : gandalf-wrapper -time %d %s

% Computer : art01.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/SET/SET016-1+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
% 
% prove-all-passes started
% 
% detected problem class: neq
% detected subclass: small
% 
% strategies selected: 
% (hyper 27 #f 3 5)
% (binary-unit 10 #f 3 5)
% (binary-double 10 #f 3 5)
% (binary-double 16 #f)
% (binary-double 10 #t)
% (binary 16 #t 3 5)
% (binary-order 27 #f 3 5)
% (binary-posweight-order 125 #f)
% (binary-posweight-lex-big-order 43 #f)
% (binary-posweight-lex-small-order 16 #f)
% (binary-order-sos 54 #t)
% (binary-unit-uniteq 54 #f)
% (binary-weightorder 65 #f)
% (binary-order 27 #f)
% (hyper-order 37 #f)
% (binary 63 #t)
% 
% 
% ********* EMPTY CLAUSE DERIVED *********
% 
% 
% timer checkpoints: c(9,40,0,18,0,0,26,50,0,35,0,0,47,50,0,56,0,0,70,50,0,79,0,0,95,50,0,104,0,0,122,50,1,131,0,1,151,50,1,160,0,1,182,50,1,191,0,1,215,50,1,224,0,1,250,50,1,259,0,1,287,50,1,296,0,1,326,50,2,335,0,2,367,50,3,376,0,3,410,50,3,419,0,3,455,50,4,464,0,4,502,50,4,511,0,4,551,50,5,560,0,5,602,50,6,611,0,6,655,50,7,664,0,8,710,50,9,710,40,9,719,0,9)
% 
% 
% START OF PROOF
% 712 [] member(X,singleton_set(X)).
% 713 [] -member(X,singleton_set(Y)) | equal(X,Y).
% 714 [] member(X,unordered_pair(X,Y)).
% 716 [] -member(X,unordered_pair(Y,Z)) | equal(X,Y) | equal(X,Z).
% 717 [] equal(ordered_pair(X,Y),unordered_pair(singleton_set(X),unordered_pair(X,Y))).
% 718 [] equal(ordered_pair(m1,r1),ordered_pair(m2,r2)).
% 719 [] -equal(m1,m2).
% 722 [binary:719,713.2] -member(m1,singleton_set(m2)).
% 725 [para:717.1.2,714.1.2] member(singleton_set(X),ordered_pair(X,Y)).
% 730 [para:717.1.2,716.1.2] -member(X,ordered_pair(Y,Z)) | equal(X,unordered_pair(Y,Z)) | equal(X,singleton_set(Y)).
% 731 [para:718.1.2,725.1.2] member(singleton_set(m2),ordered_pair(m1,r1)).
% 763 [binary:731,730] equal(singleton_set(m2),unordered_pair(m1,r1)) | equal(singleton_set(m2),singleton_set(m1)).
% 779 [para:763.1.2,714.1.2,cut:722] equal(singleton_set(m2),singleton_set(m1)).
% 783 [para:779.1.1,722.1.2,cut:712] contradiction
% END OF PROOF
% 
% Proof found by the following strategy:
% 
% using binary resolution
% not using sos strategy
% using unit 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 5
% clause depth limited to 3
% seconds given: 10
% 
% 
% ***GANDALF_FOUND_A_REFUTATION***
% 
% Global statistics over all passes: 
% 
%  given clauses:    695
%  derived clauses:   1465
%  kept clauses:      539
%  kept size sum:     24437
%  kept mid-nuclei:   0
%  kept new demods:   78
%  forw unit-subs:    773
%  forw double-subs: 0
%  forw overdouble-subs: 0
%  backward subs:     1
%  fast unit cutoff:  3
%  full unit cutoff:  0
%  dbl  unit cutoff:  0
%  real runtime  :  0.11
%  process. runtime:  0.9
% specific non-discr-tree subsumption statistics: 
%  tried:           28
%  length fails:    2
%  strength fails:  0
%  predlist fails:  16
%  aux str. fails:  0
%  by-lit fails:    0
%  full subs tried: 10
%  full subs fail:  10
% 
% ; 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/SET016-1+eq_r.in")
% 
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