%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : HEN008-5 : TPTP v3.4.2. Released v1.0.0.
% 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 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 20.0s
% Output : Assurance 20.0s
% 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: /home/graph/tptp/TSTP/PreparedTPTP/otter:hypothesis:set(auto),clear(print_given)---add_equality:r/HEN/HEN008-5+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: peq
%
% strategies selected:
% (hyper 30 #f 4 5)
% (binary-unit 12 #f)
% (binary-unit-uniteq 12 #f)
% (binary-posweight-kb-big-order 60 #f 4 5)
% (binary-posweight-lex-big-order 30 #f 4 5)
% (binary 30 #t)
% (binary-posweight-kb-big-order 156 #f)
% (binary-posweight-lex-big-order 102 #f)
% (binary-posweight-firstpref-order 60 #f)
% (binary-order 30 #f)
% (binary-posweight-kb-small-order 48 #f)
% (binary-posweight-lex-small-order 30 #f)
%
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(8,40,0,16,0,0,55,50,0,63,0,0,177,50,7,185,0,7,2230,4,2185)
%
%
% START OF PROOF
% 178 [] equal(X,X).
% 179 [] equal(divide(divide(X,Y),X),zero).
% 180 [] equal(divide(divide(divide(X,Y),divide(Z,Y)),divide(divide(X,Z),Y)),zero).
% 181 [] equal(divide(zero,X),zero).
% 182 [] -equal(divide(Y,X),zero) | -equal(divide(X,Y),zero) | equal(X,Y).
% 183 [] equal(divide(X,identity),zero).
% 184 [] equal(divide(a,b),zero).
% 185 [] -equal(divide(divide(a,c),divide(b,c)),zero).
% 205 [para:181.1.1,180.1.1.1.2] equal(divide(divide(divide(X,Y),zero),divide(divide(X,zero),Y)),zero).
% 206 [para:183.1.1,180.1.1.2.1,demod:181] equal(divide(divide(divide(X,Y),divide(identity,Y)),zero),zero).
% 207 [para:184.1.1,180.1.1.1.2] equal(divide(divide(divide(X,b),zero),divide(divide(X,a),b)),zero).
% 208 [para:184.1.1,180.1.1.2.1,demod:181] equal(divide(divide(divide(a,X),divide(b,X)),zero),zero).
% 210 [para:179.1.1,180.1.1.2] equal(divide(divide(divide(X,X),divide(Y,X)),zero),zero).
% 211 [para:179.1.1,180.1.1.2.1,demod:181] equal(divide(divide(divide(divide(X,Y),Z),divide(X,Z)),zero),zero).
% 217 [hyper:182,210,demod:181,cut:178] equal(zero,divide(divide(X,X),divide(Y,X))).
% 220 [para:181.1.1,217.1.2.2] equal(zero,divide(divide(X,X),zero)).
% 223 [hyper:182,208,demod:181,cut:178] equal(zero,divide(divide(a,X),divide(b,X))).
% 232 [para:220.1.2,180.1.1.1.2] equal(divide(divide(divide(X,zero),zero),divide(divide(X,divide(Y,Y)),zero)),zero).
% 233 [para:220.1.2,180.1.1.2.1,demod:181] equal(divide(divide(divide(divide(X,X),Y),zero),zero),zero).
% 238 [hyper:182,206,demod:181,cut:178] equal(zero,divide(divide(X,Y),divide(identity,Y))).
% 242 [para:238.1.2,180.1.1.2.1,demod:181] equal(divide(divide(divide(divide(X,Y),Z),divide(divide(identity,Y),Z)),zero),zero).
% 243 [para:238.1.2,205.1.1.2] equal(divide(divide(divide(X,divide(identity,zero)),zero),zero),zero).
% 246 [para:179.1.1,207.1.1.2.1,demod:181] equal(divide(divide(divide(divide(a,X),b),zero),zero),zero).
% 252 [hyper:182,233,demod:181,cut:178] equal(zero,divide(divide(divide(X,X),Y),zero)).
% 253 [para:252.1.2,180.1.1.1.2] equal(divide(divide(divide(X,zero),zero),divide(divide(X,divide(divide(Y,Y),Z)),zero)),zero).
% 255 [hyper:182,243,demod:181,cut:178] equal(zero,divide(divide(X,divide(identity,zero)),zero)).
% 256 [hyper:182,246,demod:181,cut:178] equal(zero,divide(divide(divide(a,X),b),zero)).
% 258 [para:255.1.2,180.1.1.2] equal(divide(divide(divide(X,zero),divide(divide(identity,zero),zero)),zero),zero).
% 269 [para:256.1.2,180.1.1.2] equal(divide(divide(divide(divide(a,X),zero),divide(b,zero)),zero),zero).
% 275 [hyper:182,211,demod:181,cut:178] equal(zero,divide(divide(divide(X,Y),Z),divide(X,Z))).
% 285 [para:275.1.2,205.1.1.2] equal(divide(divide(divide(divide(X,Y),divide(X,zero)),zero),zero),zero).
% 312 [hyper:182,285,demod:181,cut:178] equal(zero,divide(divide(divide(X,Y),divide(X,zero)),zero)).
% 316 [para:312.1.2,180.1.1.1.2] equal(divide(divide(divide(X,zero),zero),divide(divide(X,divide(divide(Y,Z),divide(Y,zero))),zero)),zero).
% 317 [para:312.1.2,180.1.1.2] equal(divide(divide(divide(divide(X,Y),zero),divide(divide(X,zero),zero)),zero),zero).
% 322 [hyper:182,258,demod:181,cut:178] equal(zero,divide(divide(X,zero),divide(divide(identity,zero),zero))).
% 327 [para:322.1.2,180.1.1.1.2] equal(divide(divide(divide(X,divide(divide(identity,zero),zero)),zero),divide(divide(X,divide(Y,zero)),divide(divide(identity,zero),zero))),zero).
% 328 [para:322.1.2,180.1.1.2,demod:181] equal(divide(divide(divide(X,divide(divide(identity,zero),zero)),zero),zero),zero).
% 331 [hyper:182,269,demod:181,cut:178] equal(zero,divide(divide(divide(a,X),zero),divide(b,zero))).
% 333 [para:331.1.2,180.1.1.2,demod:181] equal(divide(divide(divide(divide(a,X),divide(b,zero)),zero),zero),zero).
% 339 [hyper:182,333,demod:181,cut:178] equal(zero,divide(divide(divide(a,X),divide(b,zero)),zero)).
% 340 [para:339.1.2,180.1.1.1.2] equal(divide(divide(divide(X,zero),zero),divide(divide(X,divide(divide(a,Y),divide(b,zero))),zero)),zero).
% 347 [hyper:182,328,demod:181,cut:178] equal(zero,divide(divide(X,divide(divide(identity,zero),zero)),zero)).
% 362 [hyper:182,242,demod:181,cut:178] equal(zero,divide(divide(divide(X,Y),Z),divide(divide(identity,Y),Z))).
% 365 [para:362.1.2,180.1.1.2.1,demod:181] equal(divide(divide(divide(divide(divide(X,Y),Z),U),divide(divide(divide(identity,Y),Z),U)),zero),zero).
% 423 [hyper:182,317,demod:181,cut:178] equal(zero,divide(divide(divide(X,Y),zero),divide(divide(X,zero),zero))).
% 450 [hyper:182,253,demod:423,cut:178] equal(divide(divide(X,divide(divide(Y,Y),Z)),zero),divide(divide(X,zero),zero)).
% 451 [para:450.1.1,179.1.1.1] equal(divide(divide(divide(X,zero),zero),divide(X,divide(divide(Y,Y),Z))),zero).
% 871 [hyper:182,316,demod:423,cut:178] equal(divide(divide(X,divide(divide(Y,Z),divide(Y,zero))),zero),divide(divide(X,zero),zero)).
% 872 [para:871.1.1,179.1.1.1] equal(divide(divide(divide(X,zero),zero),divide(X,divide(divide(Y,Z),divide(Y,zero)))),zero).
% 911 [hyper:182,327,demod:347,cut:178] equal(divide(divide(X,divide(Y,zero)),divide(divide(identity,zero),zero)),zero).
% 913 [hyper:182,911,451,demod:220] equal(divide(divide(identity,zero),zero),divide(identity,zero)).
% 922 [para:913.1.1,232.1.1.1] equal(divide(divide(identity,zero),divide(divide(identity,divide(X,X)),zero)),zero).
% 944 [para:913.1.1,872.1.1.1.1,demod:913] equal(divide(divide(identity,zero),divide(divide(identity,zero),divide(divide(X,Y),divide(X,zero)))),zero).
% 964 [hyper:182,922,demod:275,cut:178] equal(divide(divide(identity,divide(X,X)),zero),divide(identity,zero)).
% 1043 [hyper:182,340,demod:423,cut:178] equal(divide(divide(X,divide(divide(a,Y),divide(b,zero))),zero),divide(divide(X,zero),zero)).
% 1157 [hyper:182,365,demod:181,cut:178] equal(zero,divide(divide(divide(divide(X,Y),Z),U),divide(divide(divide(identity,Y),Z),U))).
% 1273 [hyper:182,944,demod:179,cut:178] equal(divide(divide(identity,zero),divide(divide(X,Y),divide(X,zero))),divide(identity,zero)).
% 1289 [para:1273.1.1,1157.1.2.2.1] equal(zero,divide(divide(divide(divide(X,zero),divide(divide(Y,Z),divide(Y,zero))),U),divide(divide(identity,zero),U))).
% 1310 [para:1043.1.1,179.1.1.1] equal(divide(divide(divide(X,zero),zero),divide(X,divide(divide(a,Y),divide(b,zero)))),zero).
% 1422 [para:964.1.1,1310.1.1.1.1,demod:913] equal(divide(divide(identity,zero),divide(divide(identity,divide(X,X)),divide(divide(a,Y),divide(b,zero)))),zero).
% 2230 [para:1422.1.1,1289.1.2.2] equal(zero,divide(divide(divide(divide(X,zero),divide(divide(Y,Z),divide(Y,zero))),divide(divide(identity,divide(U,U)),divide(divide(a,V),divide(b,zero)))),zero)).
% 2231 [para:2230.1.1,185.1.2,demod:2230,223,cut:178] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% not using sos strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% clause length limited to 5
% clause depth limited to 6
% seconds given: 30
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 1113
% derived clauses: 1334211
% kept clauses: 1767
% kept size sum: 34171
% kept mid-nuclei: 428
% kept new demods: 1782
% forw unit-subs: 1093607
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 78
% fast unit cutoff: 150
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 21.87
% process. runtime: 21.85
% 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" "/home/graph/tptp/TSTP/PreparedTPTP/otter:hypothesis:set(auto),clear(print_given)---add_equality:r/HEN/HEN008-5+eq_r.in")
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