%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : SET787-1 : TPTP v3.4.2. Released v2.7.0.
% 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 20.0s
% Output   : Assurance 20.0s
% 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/SET787-1+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
% 
% prove-all-passes started
% 
% detected problem class: neq
% detected subclass: medium
% 
% strategies selected: 
% (hyper 25 #f 4 5)
% (binary-unit 9 #f 4 5)
% (binary-double 9 #f 4 5)
% (binary-double 15 #f)
% (binary-double 15 #t)
% (binary 50 #t 4 5)
% (binary-order 25 #f 4 5)
% (binary-posweight-order 101 #f)
% (binary-posweight-lex-big-order 25 #f)
% (binary-posweight-lex-small-order 9 #f)
% (binary-order-sos 50 #t)
% (binary-unit-uniteq 25 #f)
% (binary-weightorder 50 #f)
% (binary-order 50 #f)
% (hyper-order 30 #f)
% (binary 112 #t)
% 
% 
% ********* EMPTY CLAUSE DERIVED *********
% 
% 
% timer checkpoints: c(15,40,0,30,0,0,288,50,2,303,0,2,1820,50,18,1835,0,18,11006,50,745,11021,0,745,24372,4,2021,27907,5,2447,27910,1,2447,27910,50,2448,27910,40,2448,27925,0,2448)
% 
% 
% START OF PROOF
% 27912 [] member(X,union^e_sk1(X,Y)) | -member(X,union(Y)).
% 27913 [] member(union^e_sk1(X,Y),Y) | -member(X,union(Y)).
% 27916 [] -member(X,cons(Y,Z)) | member(X,Z) | equal(X,Y).
% 27917 [] member(X,un(Y,Z)) | -member(X,Y).
% 27918 [] member(X,un(Y,Z)) | -member(X,Z).
% 27919 [] -member(X,eptset).
% 27924 [] member(sk2,union(cons(a,cons(b,eptset)))).
% 27925 [] -member(sk2,un(a,b)).
% 27930 [binary:27925,27917] -member(sk2,a).
% 27932 [binary:27925,27918] -member(sk2,b).
% 27934 [binary:27924,27912.2] member(sk2,union^e_sk1(sk2,cons(a,cons(b,eptset)))).
% 27937 [binary:27924,27913.2] member(union^e_sk1(sk2,cons(a,cons(b,eptset))),cons(a,cons(b,eptset))).
% 28004 [binary:27916,27937] member(union^e_sk1(sk2,cons(a,cons(b,eptset))),cons(b,eptset)) | equal(union^e_sk1(sk2,cons(a,cons(b,eptset))),a).
% 28056 [para:28004.2.1,27934.1.2,cut:27930] member(union^e_sk1(sk2,cons(a,cons(b,eptset))),cons(b,eptset)).
% 28059 [binary:27916,28056,cut:27919] equal(union^e_sk1(sk2,cons(a,cons(b,eptset))),b).
% 28063 [para:28059.1.1,27912.1.2,cut:27932,cut:27924] 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 4
% seconds given: 9
% 
% 
% ***GANDALF_FOUND_A_REFUTATION***
% 
% Global statistics over all passes: 
% 
%  given clauses:    10639
%  derived clauses:   184886
%  kept clauses:      15158
%  kept size sum:     598868
%  kept mid-nuclei:   0
%  kept new demods:   2
%  forw unit-subs:    41719
%  forw double-subs: 16254
%  forw overdouble-subs: 24187
%  backward subs:     137
%  fast unit cutoff:  1174
%  full unit cutoff:  0
%  dbl  unit cutoff:  0
%  real runtime  :  24.52
%  process. runtime:  24.48
% specific non-discr-tree subsumption statistics: 
%  tried:           238274
%  length fails:    17746
%  strength fails:  35415
%  predlist fails:  36648
%  aux str. fails:  0
%  by-lit fails:    984
%  full subs tried: 147481
%  full subs fail:  122762
% 
% ; 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/SET787-1+eq_r.in")
% 
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