%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : SET825-2 : 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 : art04.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/SystemOnTPTP8161/SET/SET825-2+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 4 5)
% (binary-unit 10 #f 4 5)
% (binary-double 10 #f 4 5)
% (binary-double 16 #f)
% (binary-double 10 #t)
% (binary 16 #t 4 5)
% (binary-order 27 #f 4 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(7,40,0,14,0,0,26,50,0,33,0,0,45,50,0,52,0,0,64,50,0,71,0,0,83,50,0,90,0,0,102,50,0,109,0,0,121,50,0,128,0,0,140,50,1,147,0,1,159,50,1,166,0,1,178,50,1,185,0,1,197,50,1,204,0,1,216,50,1,223,0,1,235,50,1,242,0,1,254,50,1,261,0,1,273,50,1,280,0,1,292,50,1,299,0,1,311,50,1,318,0,1,330,50,1,337,0,1,349,50,1,349,40,1,356,0,1)
% 
% 
% START OF PROOF
% 351 [] c_in(c_^pair(X,X,Y,Y),c_^relation_^o^id,tc_prod(Y,Y)).
% 352 [] -c_in(c_^pair(X,Y,Z,Z),c_^relation_^o^id,tc_prod(Z,Z)) | equal(X,Y).
% 353 [] v_^q(v_n).
% 354 [] -v_^q(v_m).
% 355 [] c_in(c_^pair(v_x(X),v_xa(X),tc_nat,tc_nat),X,tc_prod(tc_nat,tc_nat)) | -c_in(c_^pair(c_0,c_0,tc_nat,tc_nat),X,tc_prod(tc_nat,tc_nat)) | c_in(c_^pair(v_n,v_m,tc_nat,tc_nat),X,tc_prod(tc_nat,tc_nat)).
% 356 [] -c_in(c_^pair(c_^suc(v_x(X)),c_^suc(v_xa(X)),tc_nat,tc_nat),X,tc_prod(tc_nat,tc_nat)) | -c_in(c_^pair(c_0,c_0,tc_nat,tc_nat),X,tc_prod(tc_nat,tc_nat)) | c_in(c_^pair(v_n,v_m,tc_nat,tc_nat),X,tc_prod(tc_nat,tc_nat)).
% 360 [binary:351,355.2,binarydemod:352] equal(v_x(c_^relation_^o^id),v_xa(c_^relation_^o^id)) | equal(v_n,v_m).
% 362 [para:360.2.1,353.1.1,cut:354] equal(v_x(c_^relation_^o^id),v_xa(c_^relation_^o^id)).
% 366 [binary:351,356.2,demod:362,cut:351,binarydemod:352] equal(v_n,v_m).
% 367 [para:366.1.1,353.1.1,cut:354] 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: 10
% 
% 
% ***GANDALF_FOUND_A_REFUTATION***
% 
% Global statistics over all passes: 
% 
%  given clauses:    210
%  derived clauses:   378
%  kept clauses:      77
%  kept size sum:     1128
%  kept mid-nuclei:   18
%  kept new demods:   2
%  forw unit-subs:    43
%  forw double-subs: 108
%  forw overdouble-subs: 0
%  backward subs:     2
%  fast unit cutoff:  3
%  full unit cutoff:  0
%  dbl  unit cutoff:  0
%  real runtime  :  0.3
%  process. runtime:  0.1
% 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/SystemOnTPTP8161/SET/SET825-2+eq_r.in")
% 
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