%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : SWC181-1 : TPTP v3.4.2. Released v2.4.0.
% Transfm  : add_equality:r
% Format   : otter:hypothesis:set(auto),clear(print_given)
% Command  : gandalf-wrapper -time %d %s

% Computer : art08.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 49.5s
% Output   : Assurance 49.5s
% 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/SWC/SWC181-1+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 5 19)
% (binary-unit 28 #f 5 19)
% (binary-double 11 #f 5 19)
% (binary-double 17 #f)
% (binary-double 17 #t)
% (binary 87 #t 5 19)
% (binary-order 28 #f 5 19)
% (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(200,40,1,406,0,2,50467,4,2316,52831,5,2803,52832,1,2805,52832,50,2808,52832,40,2808,53038,0,2808,124508,3,4216,144443,4,4909)
% 
% 
% START OF PROOF
% 1612 [?] ?
% 52569 [?] ?
% 52833 [] equal(X,X).
% 52851 [] ss^list(skaf77(X)).
% 52852 [] ss^list(skaf76(X)).
% 52853 [] ss^list(skaf75(X)).
% 52905 [] -ss^list(X) | ss^item(Y) | duplicatefree^p(X).
% 52944 [?] ?
% 52995 [] equal(app(app(skaf75(X),cons(skaf74(X),skaf76(X))),cons(skaf74(X),skaf77(X))),X) | -ss^list(X) | duplicatefree^p(X).
% 53014 [?] ?
% 53020 [] -duplicatefree^p(sk1).
% 53023 [] strictordered^p(sk3).
% 53030 [] ss^list(sk3).
% 53032 [] ss^list(sk1).
% 53052 [input:52944,factor:cut:52833,cut:1612] -lt(X,X).
% 54105 [binary:53020,52905.3,cut:53032] ss^item(X).
% 68616 [binary:53030,52995.2,cut:52569] equal(app(app(skaf75(sk3),cons(skaf74(sk3),skaf76(sk3))),cons(skaf74(sk3),skaf77(sk3))),sk3).
% 78405 [input:53014,cut:54105,cut:54105] -equal(app(app(X,cons(Y,Z)),cons(U,V)),W) | lt(Y,U) | -ss^list(V) | -ss^list(Z) | -ss^list(X) | -ss^list(W) | -strictordered^p(W).
% 153026 [binary:68616,78405,cut:53052,cut:52851,cut:52852,cut:52853,cut:53030,cut:53023] contradiction
% END OF PROOF
% 
% Proof found by the following strategy:
% 
% using binary resolution
% not using sos strategy
% using unit paramodulation 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 19
% clause depth limited to 5
% seconds given: 28
% 
% 
% old unit clauses discarded
% 
% ***GANDALF_FOUND_A_REFUTATION***
% 
% Global statistics over all passes: 
% 
%  given clauses:    1203
%  derived clauses:   186877
%  kept clauses:      117636
%  kept size sum:     0
%  kept mid-nuclei:   20423
%  kept new demods:   32105
%  forw unit-subs:    12776
%  forw double-subs: 5285
%  forw overdouble-subs: 3495
%  backward subs:     58
%  fast unit cutoff:  17281
%  full unit cutoff:  12
%  dbl  unit cutoff:  110
%  real runtime  :  51.5
%  process. runtime:  50.48
% specific non-discr-tree subsumption statistics: 
%  tried:           600547
%  length fails:    1814
%  strength fails:  38509
%  predlist fails:  461443
%  aux str. fails:  6276
%  by-lit fails:    3447
%  full subs tried: 86071
%  full subs fail:  82355
% 
% ; 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/SWC/SWC181-1+eq_r.in")
% 
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