%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : LCL434-2 : 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 : art02.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2794MHz
% 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/SystemOnTPTP20889/LCL/LCL434-2+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(7,40,0,14,0,0,26,50,0,33,0,0,54,50,0,61,0,0,95,50,0,102,0,0,153,50,0,160,0,0,232,50,1,239,0,1,336,50,1,343,0,1,469,50,2,476,0,2,635,50,4,642,0,4,838,50,5,845,0,5,1082,50,7,1089,0,7,1371,50,11,1378,0,11,1709,50,17,1716,0,17,2100,50,21,2107,0,21,2548,50,27,2555,0,27,3057,50,35,3064,0,35,3631,50,45,3638,0,45,4274,50,63,4281,0,63,4990,50,73,4997,0,73,5783,50,88,5783,40,88,5790,0,88)
% 
% 
% START OF PROOF
% 5785 [] c_in(X,c_^prop^log_^othms(Y,Z),tc_^prop^log_^opl(Z)) | -c_in(X,Y,tc_^prop^log_^opl(Z)).
% 5786 [] c_in(c_^prop^log_^opl_^oop_^a_^n_62(X,X,Y),c_^prop^log_^othms(Z,Y),tc_^prop^log_^opl(Y)).
% 5787 [] c_in(c_^prop^log_^opl_^oop_^a_^n_62(X,Y,Z),c_^prop^log_^othms(U,Z),tc_^prop^log_^opl(Z)) | -c_in(Y,c_^prop^log_^othms(U,Z),tc_^prop^log_^opl(Z)).
% 5788 [] -c_in(X,c_insert(Y,Z,U),U) | c_in(X,Z,U) | equal(X,Y).
% 5789 [] c_in(v_pa,c_insert(v_p,v_^h,tc_^prop^log_^opl(t_a)),tc_^prop^log_^opl(t_a)).
% 5790 [] -c_in(c_^prop^log_^opl_^oop_^a_^n_62(v_p,v_pa,t_a),c_^prop^log_^othms(v_^h,t_a),tc_^prop^log_^opl(t_a)).
% 5795 [binary:5790,5787] -c_in(v_pa,c_^prop^log_^othms(v_^h,t_a),tc_^prop^log_^opl(t_a)).
% 5796 [binary:5785,5795] -c_in(v_pa,v_^h,tc_^prop^log_^opl(t_a)).
% 5798 [binary:5789,5788,cut:5796] equal(v_pa,v_p).
% 5804 [para:5798.1.2,5790.1.1.1,cut:5786] 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:    5655
%  derived clauses:   24852
%  kept clauses:      5539
%  kept size sum:     253976
%  kept mid-nuclei:   0
%  kept new demods:   20
%  forw unit-subs:    17567
%  forw double-subs: 19
%  forw overdouble-subs: 0
%  backward subs:     57
%  fast unit cutoff:  2
%  full unit cutoff:  19
%  dbl  unit cutoff:  0
%  real runtime  :  0.91
%  process. runtime:  0.88
% specific non-discr-tree subsumption statistics: 
%  tried:           0
%  length fails:    0
%  strength fails:  0
%  predlist fails:  0
%  aux str. fails:  0
%  by-lit fails:    0
%  full subs tried: 0
%  full subs fail:  0
% 
% ; program args: ("/home/graph/tptp/Systems/Gandalf---c-2.6/gandalf" "-time" "600" "/tmp/SystemOnTPTP20889/LCL/LCL434-2+eq_r.in")
% 
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