%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : SET852-2 : TPTP v3.4.2. Released v3.2.0.
% Transfm  : add_equality:r
% Format   : otter:hypothesis:set(auto),clear(print_given)
% Command  : gandalf-wrapper -time %d %s

% Computer : art09.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 1003MB
% OS       : Linux 2.6.11-1.1369_FC4
% 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: /tmp/SystemOnTPTP8092/SET/SET852-2+noeq.in
% Using automatic strategy selection.
% Time limit in seconds: 600
% 
% prove-all-passes started
% 
% detected problem class: nne
% detected subclass: small
% 
% strategies selected: 
% (hyper 27 #f 3 5)
% (binary-unit 10 #f 3 5)
% (binary-double 16 #f)
% (binary 16 #t 3 5)
% (binary-posweight-order 181 #f)
% (binary-order-sos 54 #t)
% (binary-unit-uniteq 54 #f)
% (binary-order 27 #f 3 5)
% (binary-weightorder 71 #f)
% (binary-order 27 #f)
% (hyper-order 54 #f)
% (binary 63 #t)
% 
% 
% ********* EMPTY CLAUSE DERIVED *********
% 
% 
% timer checkpoints: c(6,40,0,12,0,0)
% 
% 
% START OF PROOF
% 7 [] c_in(c_^zorn_^o^union__lemma0__1(X,Y,Z,U),Z,tc_set(U)) | c_lessequals(Y,c_^union(Z,U),tc_set(U)) | c_lessequals(c_^union(Z,U),X,tc_set(U)).
% 8 [] -c_lessequals(c_^zorn_^o^union__lemma0__1(X,Y,Z,U),X,tc_set(U)) | c_lessequals(Y,c_^union(Z,U),tc_set(U)) | c_lessequals(c_^union(Z,U),X,tc_set(U)).
% 9 [] -c_lessequals(X,c_^zorn_^o^union__lemma0__1(Y,X,Z,U),tc_set(U)) | c_lessequals(X,c_^union(Z,U),tc_set(U)) | c_lessequals(c_^union(Z,U),Y,tc_set(U)).
% 10 [] -c_lessequals(c_^union(v_^y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))).
% 11 [] -c_lessequals(c_^zorn_^osucc(v_^s,v_m,t_a),c_^union(v_^y,tc_set(t_a)),tc_set(tc_set(t_a))).
% 12 [] c_lessequals(c_^zorn_^osucc(v_^s,v_m,t_a),X,tc_set(tc_set(t_a))) | -c_in(X,v_^y,tc_set(tc_set(t_a))) | c_lessequals(X,v_m,tc_set(tc_set(t_a))).
% 17 [hyper:10,7] c_in(c_^zorn_^o^union__lemma0__1(v_m,X,v_^y,tc_set(t_a)),v_^y,tc_set(tc_set(t_a))) | c_lessequals(X,c_^union(v_^y,tc_set(t_a)),tc_set(tc_set(t_a))).
% 22 [hyper:11,17] c_in(c_^zorn_^o^union__lemma0__1(v_m,c_^zorn_^osucc(v_^s,v_m,t_a),v_^y,tc_set(t_a)),v_^y,tc_set(tc_set(t_a))).
% 24 [hyper:12,22] c_lessequals(c_^zorn_^osucc(v_^s,v_m,t_a),c_^zorn_^o^union__lemma0__1(v_m,c_^zorn_^osucc(v_^s,v_m,t_a),v_^y,tc_set(t_a)),tc_set(tc_set(t_a))) | c_lessequals(c_^zorn_^o^union__lemma0__1(v_m,c_^zorn_^osucc(v_^s,v_m,t_a),v_^y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))).
% 30 [hyper:9,24,cut:11,cut:10] c_lessequals(c_^zorn_^o^union__lemma0__1(v_m,c_^zorn_^osucc(v_^s,v_m,t_a),v_^y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))).
% 34 [hyper:8,30,cut:11,cut:10] contradiction
% END OF PROOF
% 
% Proof found by the following strategy:
% 
% using hyperresolution
% not using sos strategy
% using positive unit paramodulation strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% clause length limited to 5
% clause depth limited to 3
% seconds given: 27
% 
% 
% ***GANDALF_FOUND_A_REFUTATION***
% 
% Global statistics over all passes: 
% 
%  given clauses:    13
%  derived clauses:   54
%  kept clauses:      12
%  kept size sum:     304
%  kept mid-nuclei:   0
%  kept new demods:   0
%  forw unit-subs:    5
%  forw double-subs: 7
%  forw overdouble-subs: 5
%  backward subs:     1
%  fast unit cutoff:  7
%  full unit cutoff:  0
%  dbl  unit cutoff:  0
%  real runtime  :  0.2
%  process. runtime:  0.0
% specific non-discr-tree subsumption statistics: 
%  tried:           12
%  length fails:    0
%  strength fails:  7
%  predlist fails:  0
%  aux str. fails:  0
%  by-lit fails:    0
%  full subs tried: 5
%  full subs fail:  0
% 
% ; program args: ("/home/graph/tptp/Systems/Gandalf---c-2.6/gandalf" "-time" "600" "/tmp/SystemOnTPTP8092/SET/SET852-2+noeq.in")
% 
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