%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : SET825-1 : 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 : art05.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2795MHz
% Memory   : 1003MB
% OS       : Linux 2.6.11-1.1369_FC4
% CPULimit : 600s

% Result   : Unsatisfiable 55.0s
% Output   : Assurance 55.0s
% 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/SystemOnTPTP17592/SET/SET825-1+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
% 
% prove-all-passes started
% 
% detected problem class: neq
% detected subclass: big
% 
% strategies selected: 
% (hyper 28 #f 4 7)
% (binary-unit 28 #f 4 7)
% (binary-double 11 #f 4 7)
% (binary-double 17 #f)
% (binary-double 17 #t)
% (binary 87 #t 4 7)
% (binary-order 28 #f 4 7)
% (binary-posweight-order 58 #f)
% (binary-posweight-lex-big-order 28 #f)
% (binary-posweight-lex-small-order 11 #f)
% (binary-order-sos 28 #t)
% (binary-unit-uniteq 28 #f)
% (binary-weightorder 28 #f)
% (binary-weightorder-sos 17 #f)
% (binary-order 28 #f)
% (hyper-order 17 #f)
% (binary 141 #t)
% 
% 
% ********* EMPTY CLAUSE DERIVED *********
% 
% 
% timer checkpoints: c(1362,40,6,2724,0,13,472063,4,2116,496687,5,2814,496688,1,2814,496688,50,2820,496688,40,2820,498050,0,2821,531976,3,4222,546652,4,4922,559645,5,5622,559646,5,5623,559646,1,5623,559646,50,5628,559646,40,5628,561008,0,5639)
% 
% 
% START OF PROOF
% 559773 [] c_in(c_^pair(X,X,Y,Y),c_^relation_^o^id,tc_prod(Y,Y)).
% 559778 [] -c_in(c_^pair(X,Y,Z,Z),c_^relation_^o^id,tc_prod(Z,Z)) | equal(X,Y).
% 561005 [] v_^q(v_n).
% 561006 [] -v_^q(v_m).
% 561007 [] 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)).
% 561008 [] -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)).
% 565253 [binary:561007,559778,cut:559773] c_in(c_^pair(v_n,v_m,tc_nat,tc_nat),c_^relation_^o^id,tc_prod(tc_nat,tc_nat)) | equal(v_x(c_^relation_^o^id),v_xa(c_^relation_^o^id)).
% 565445 [para:565253.2.2,561008.1.1.2.1,cut:559773,cut:559773,binarydemod:559778] equal(v_n,v_m).
% 565447 [para:565445.1.1,561005.1.1,cut:561006] contradiction
% END OF PROOF
% 
% Proof found by the following strategy:
% 
% using binary resolution
% not using sos strategy
% using double 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 7
% clause depth limited to 4
% seconds given: 11
% 
% 
% ***GANDALF_FOUND_A_REFUTATION***
% 
% Global statistics over all passes: 
% 
%  given clauses:    7219
%  derived clauses:   1289464
%  kept clauses:      127765
%  kept size sum:     694753
%  kept mid-nuclei:   20912
%  kept new demods:   80
%  forw unit-subs:    95967
%  forw double-subs: 10731
%  forw overdouble-subs: 1820
%  backward subs:     78
%  fast unit cutoff:  8906
%  full unit cutoff:  2275
%  dbl  unit cutoff:  417
%  real runtime  :  57.9
%  process. runtime:  57.5
% specific non-discr-tree subsumption statistics: 
%  tried:           255126
%  length fails:    30261
%  strength fails:  86063
%  predlist fails:  30304
%  aux str. fails:  3816
%  by-lit fails:    37235
%  full subs tried: 38621
%  full subs fail:  36841
% 
% ; program args: ("/home/graph/tptp/Systems/Gandalf---c-2.6/gandalf" "-time" "600" "/tmp/SystemOnTPTP17592/SET/SET825-1+eq_r.in")
% WARNING: TreeLimitedRun lost 54.98s, total lost is 54.98s
% 
%------------------------------------------------------------------------------