%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : HWV022-2 : TPTP v3.4.2. Released v2.5.0.
% Transfm : add_equality:r
% Format : otter:hypothesis:set(auto),clear(print_given)
% Command : gandalf-wrapper -time %d %s
% Computer : art07.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 48.4s
% Output : Assurance 48.4s
% 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/HWV/HWV022-2+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(139,40,1,278,0,1,107945,4,2174,108191,5,2805,108193,5,2814,108193,1,2814,108193,50,2821,108193,40,2821,108332,0,2838,129794,3,4251,133062,4,4948)
%
%
% START OF PROOF
% 108201 [] -equal(fwork_^d^o^tfifo_^d^o^trtl_^d^o^tlevel_(X),n0) | p__pred_(fwork_^d^o^tfifo_^d^o^trtl_^d^o^tempty_(X)).
% 108202 [] equal(fwork_^d^o^tfifo_^d^o^trtl_^d^o^tlevel_(X),n0) | -p__pred_(fwork_^d^o^tfifo_^d^o^trtl_^d^o^tempty_(X)).
% 108211 [] equal(fwork_^d^o^tfifo_^d^o^trtl_^d^o^tlevel_(f_^a^d^d_(X,n1)),f_^a^d^d_(fwork_^d^o^tfifo_^d^o^trtl_^d^o^tlevel_(X),n1)) | p_^l^e^s_^e^q^u_(fwork_^d^o^tfifo_^d^o^trtl_^d^o^tfifo__length_,fwork_^d^o^tfifo_^d^o^trtl_^d^o^tlevel_(X)) | -p__pred_(fwork_^d^o^tfifo_^d^o^trtl_^d^o^twr_(X)) | p__pred_(fwork_^d^o^tfifo_^d^o^trtl_^d^o^treset_(X)) | p__pred_(fwork_^d^o^tfifo_^d^o^trtl_^d^o^trd_(X)).
% 108253 [] -p_^l^e^s_^e^q^u_(f_^a^d^d_(X,n1),n0).
% 108254 [] -p_^l^e^s_^e^q^u_(X,f_^s^u^b_(X,n1)) | p_^l^e^s_^e^q^u_(X,n0).
% 108256 [] -equal(f_^a^d^d_(X,Y),Z) | equal(f_^s^u^b_(Z,Y),X) | def_89(Y,Z).
% 108258 [] -def_89(X,Y) | p_^l^e^s_^e^q^u_(Y,X).
% 108259 [] -p_^l^e^s_^e^q^u_(f_^a^d^d_(X,n1),f_^a^d^d_(Y,n1)) | p_^l^e^s_^e^q^u_(X,Y).
% 108266 [] -p_^l^e^s_^e^q^u_(X,n0) | equal(X,n0).
% 108270 [] equal(f_^a^d^d_(n0,X),X).
% 108328 [] equal(f_^a^d^d_(fwork_^d^o^tfifo_^d^o^trtl_^d^o^tlevel_(t_206),n1),fwork_^d^o^tfifo_^d^o^trtl_^d^o^tfifo__length_).
% 108329 [] p__pred_(fwork_^d^o^tfifo_^d^o^trtl_^d^o^twr_(t_206)).
% 108330 [] -p__pred_(fwork_^d^o^tfifo_^d^o^trtl_^d^o^treset_(t_206)).
% 108331 [] -p__pred_(fwork_^d^o^tfifo_^d^o^trtl_^d^o^trd_(t_206)).
% 108332 [] -equal(fwork_^d^o^tfifo_^d^o^trtl_^d^o^tlevel_(f_^a^d^d_(t_206,n1)),fwork_^d^o^tfifo_^d^o^trtl_^d^o^tfifo__length_).
% 108395 [para:108328.1.1,108253.1.1] -p_^l^e^s_^e^q^u_(fwork_^d^o^tfifo_^d^o^trtl_^d^o^tfifo__length_,n0).
% 108560 [binary:108329,108211.3,demod:108328,cut:108332,cut:108330,cut:108331] p_^l^e^s_^e^q^u_(fwork_^d^o^tfifo_^d^o^trtl_^d^o^tfifo__length_,fwork_^d^o^tfifo_^d^o^trtl_^d^o^tlevel_(t_206)).
% 108569 [para:108202.1.1,108560.1.2,cut:108395] -p__pred_(fwork_^d^o^tfifo_^d^o^trtl_^d^o^tempty_(t_206)).
% 108571 [binary:108201.2,108569] -equal(fwork_^d^o^tfifo_^d^o^trtl_^d^o^tlevel_(t_206),n0).
% 110667 [binary:108571,108266.2] -p_^l^e^s_^e^q^u_(fwork_^d^o^tfifo_^d^o^trtl_^d^o^tlevel_(t_206),n0).
% 110752 [binary:108395,108254.2] -p_^l^e^s_^e^q^u_(fwork_^d^o^tfifo_^d^o^trtl_^d^o^tfifo__length_,f_^s^u^b_(fwork_^d^o^tfifo_^d^o^trtl_^d^o^tfifo__length_,n1)).
% 110834 [para:108256.2.1,110752.1.2] def_89(n1,fwork_^d^o^tfifo_^d^o^trtl_^d^o^tfifo__length_) | -equal(f_^a^d^d_(X,n1),fwork_^d^o^tfifo_^d^o^trtl_^d^o^tfifo__length_) | -p_^l^e^s_^e^q^u_(fwork_^d^o^tfifo_^d^o^trtl_^d^o^tfifo__length_,X).
% 110881 [binary:110667,108259.2,demod:108270,108328] -p_^l^e^s_^e^q^u_(fwork_^d^o^tfifo_^d^o^trtl_^d^o^tfifo__length_,n1).
% 110883 [binary:108258.2,110881] -def_89(n1,fwork_^d^o^tfifo_^d^o^trtl_^d^o^tfifo__length_).
% 133200 [binary:108328,110834.2,cut:110883,cut:108560] 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
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 971
% derived clauses: 239829
% kept clauses: 99012
% kept size sum: 215856
% kept mid-nuclei: 25898
% kept new demods: 72
% forw unit-subs: 54741
% forw double-subs: 2261
% forw overdouble-subs: 37720
% backward subs: 62
% fast unit cutoff: 2892
% full unit cutoff: 137
% dbl unit cutoff: 32
% real runtime : 52.11
% process. runtime: 50.45
% specific non-discr-tree subsumption statistics:
% tried: 1674579
% length fails: 250980
% strength fails: 662695
% predlist fails: 146779
% aux str. fails: 9368
% by-lit fails: 108476
% full subs tried: 458862
% full subs fail: 421256
%
% ; 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/HWV/HWV022-2+eq_r.in")
% WARNING: TreeLimitedRun lost 48.42s, total lost is 48.42s
%
%------------------------------------------------------------------------------