TSTP Solution File: HWV016-2 by Gandalf---c-2.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : HWV016-2 : 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 : art03.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 63.3s
% Output   : Assurance 63.3s
% 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/HWV016-2+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(139,40,2,278,0,2,109275,4,2141,109559,5,2805,109561,5,2813,109561,1,2813,109561,50,2819,109561,40,2819,109700,0,2836,128780,3,4245,131471,4,4941,131644,5,5637,131644,5,5637,131644,1,5637,131644,50,5639,131644,40,5639,131783,0,5639,148736,3,6191,153554,4,6476)
% 
% 
% START OF PROOF
% 112488 [?] ?
% 112580 [?] ?
% 131645 [] equal(X,X).
% 131653 [] 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)).
% 131662 [] 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)).
% 131667 [] equal(fwork_^d^o^tfifo_^d^o^trtl_^d^o^tlevel_(f_^a^d^d_(X,n1)),fwork_^d^o^tfifo_^d^o^trtl_^d^o^tlevel_(X)) | -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)).
% 131675 [] equal(fwork_^d^o^tfifo_^d^o^trtl_^d^o^tlevel_(f_^a^d^d_(X,n1)),fwork_^d^o^tfifo_^d^o^trtl_^d^o^tlevel_(X)) | p_^l^e^s_^e^q^u_(fwork_^d^o^tfifo_^d^o^trtl_^d^o^tlevel_(X),n0) | -p__pred_(fwork_^d^o^tfifo_^d^o^trtl_^d^o^twr_(X)) | -p__pred_(fwork_^d^o^tfifo_^d^o^trtl_^d^o^trd_(X)) | p__pred_(fwork_^d^o^tfifo_^d^o^trtl_^d^o^treset_(X)).
% 131680 [] 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^tlevel_(X),n0) | -p__pred_(fwork_^d^o^tfifo_^d^o^trtl_^d^o^twr_(X)) | -p__pred_(fwork_^d^o^tfifo_^d^o^trtl_^d^o^trd_(X)) | p__pred_(fwork_^d^o^tfifo_^d^o^trtl_^d^o^treset_(X)).
% 131703 [] -equal(f_^a^d^d_(X,n1),n0).
% 131706 [] -equal(f_^s^u^b_(X,Y),Z) | equal(f_^a^d^d_(Z,Y),X) | def_89(Y,X).
% 131707 [] -equal(f_^a^d^d_(X,Y),Z) | equal(f_^s^u^b_(Z,Y),X) | def_89(Y,Z).
% 131708 [] -def_89(X,Y) | -equal(Y,X).
% 131710 [] -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).
% 131721 [] equal(f_^a^d^d_(n0,X),X).
% 131780 [] -p__pred_(fwork_^d^o^tfifo_^d^o^trtl_^d^o^treset_(t_206)).
% 131781 [] p__pred_(fwork_^d^o^tfifo_^d^o^trtl_^d^o^twr_(t_206)).
% 131782 [] p__pred_(fwork_^d^o^tfifo_^d^o^trtl_^d^o^tempty_(f_^a^d^d_(t_206,n1))).
% 131783 [] -p_^l^e^s_^e^q^u_(fwork_^d^o^tfifo_^d^o^trtl_^d^o^tfifo__length_,n0).
% 131850 [binary:131782,131653.2] equal(fwork_^d^o^tfifo_^d^o^trtl_^d^o^tlevel_(f_^a^d^d_(t_206,n1)),n0).
% 131856 [binary:131645,131708.2] -def_89(X,X).
% 132138 [binary:131780,131662.4,demod:131850,cut:131781,cut:112488] 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)) | p__pred_(fwork_^d^o^tfifo_^d^o^trtl_^d^o^trd_(t_206)).
% 132610 [binary:131780,131667.4,demod:131850,cut:131781,binarycut:132138] equal(n0,fwork_^d^o^tfifo_^d^o^trtl_^d^o^tlevel_(t_206)) | p__pred_(fwork_^d^o^tfifo_^d^o^trtl_^d^o^trd_(t_206)).
% 133691 [binary:131780,131675.5,demod:131850,cut:131781] p_^l^e^s_^e^q^u_(fwork_^d^o^tfifo_^d^o^trtl_^d^o^tlevel_(t_206),n0) | equal(n0,fwork_^d^o^tfifo_^d^o^trtl_^d^o^tlevel_(t_206)) | -p__pred_(fwork_^d^o^tfifo_^d^o^trtl_^d^o^trd_(t_206)).
% 135802 [binary:131721,131707,cut:131856] equal(f_^s^u^b_(X,X),n0).
% 135821 [para:135802.1.1,131706.1.1,cut:131856] equal(f_^a^d^d_(X,Y),Y) | -equal(n0,X).
% 135823 [para:131707.2.1,135802.1.1,cut:131856,binarydemod:135821] -equal(n0,X) | equal(X,n0).
% 135850 [para:131721.1.1,131710.1.1,cut:112580] p_^l^e^s_^e^q^u_(n0,X).
% 136432 [para:135823.2.2,131783.1.2] -p_^l^e^s_^e^q^u_(fwork_^d^o^tfifo_^d^o^trtl_^d^o^tfifo__length_,X) | -equal(n0,X).
% 136434 [binary:131703,135823.2] -equal(n0,f_^a^d^d_(X,n1)).
% 136471 [para:135823.2.2,135850.1.1] -equal(n0,X) | p_^l^e^s_^e^q^u_(X,Y).
% 136797 [binary:132138,136432,binarycut:132610] p__pred_(fwork_^d^o^tfifo_^d^o^trtl_^d^o^trd_(t_206)).
% 136815 [binary:131680.4,136797,demod:131850,cut:131781,cut:136434,cut:131780] -p_^l^e^s_^e^q^u_(fwork_^d^o^tfifo_^d^o^trtl_^d^o^tlevel_(t_206),n0).
% 136830 [binary:136471.2,136815] -equal(n0,fwork_^d^o^tfifo_^d^o^trtl_^d^o^tlevel_(t_206)).
% 153620 [binary:136815,133691,cut:136830,cut:136797] 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 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 19
% clause depth limited to 5
% seconds given: 11
% 
% 
% ***GANDALF_FOUND_A_REFUTATION***
% 
% Global statistics over all passes: 
% 
%  given clauses:    1554
%  derived clauses:   453176
%  kept clauses:      114337
%  kept size sum:     434491
%  kept mid-nuclei:   28614
%  kept new demods:   121
%  forw unit-subs:    230575
%  forw double-subs: 4129
%  forw overdouble-subs: 49300
%  backward subs:     190
%  fast unit cutoff:  10861
%  full unit cutoff:  161
%  dbl  unit cutoff:  62
%  real runtime  :  67.80
%  process. runtime:  66.19
% specific non-discr-tree subsumption statistics: 
%  tried:           1990459
%  length fails:    197155
%  strength fails:  951138
%  predlist fails:  136590
%  aux str. fails:  2204
%  by-lit fails:    110110
%  full subs tried: 558839
%  full subs fail:  510184
% 
% ; 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/HWV016-2+eq_r.in")
% WARNING: TreeLimitedRun lost 63.31s, total lost is 63.31s
% 
%------------------------------------------------------------------------------