TSTP Solution File: HEN009-5 by Gandalf---c-2.6
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% File : Gandalf---c-2.6
% Problem : HEN009-5 : TPTP v3.4.2. Bugfixed v1.2.1.
% Transfm : add_equality:r
% Format : otter:hypothesis:set(auto),clear(print_given)
% Command : gandalf-wrapper -time %d %s
% Computer : art04.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 0.0s
% Output : Assurance 0.0s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
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%----NO SOLUTION OUTPUT BY SYSTEM
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%----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/HEN009-5+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(10,40,0,20,0,0)
%
%
% START OF PROOF
% 11 [] equal(X,X).
% 12 [] equal(divide(divide(X,Y),X),zero).
% 13 [] equal(divide(divide(divide(X,Y),divide(Z,Y)),divide(divide(X,Z),Y)),zero).
% 14 [] equal(divide(zero,X),zero).
% 15 [] -equal(divide(Y,X),zero) | -equal(divide(X,Y),zero) | equal(X,Y).
% 16 [] equal(divide(X,identity),zero).
% 17 [] -equal(divide(Y,Z),zero) | -equal(divide(X,Y),zero) | equal(divide(X,Z),zero).
% 18 [] -equal(divide(divide(X,Y),Z),zero) | equal(divide(divide(X,Z),Y),zero).
% 19 [] equal(divide(divide(X,Y),divide(X,Z)),zero) | -equal(divide(Z,Y),zero).
% 20 [] -equal(divide(identity,a),divide(identity,divide(identity,divide(identity,a)))).
% 24 [hyper:19,14] equal(divide(divide(X,Y),divide(X,zero)),zero).
% 33 [hyper:18,12] equal(divide(divide(X,X),Y),zero).
% 34 [hyper:19,12] equal(divide(divide(X,Y),divide(X,divide(Y,Z))),zero).
% 36 [hyper:15,33,14] equal(zero,divide(X,X)).
% 46 [hyper:17,24,12] equal(divide(divide(divide(X,Y),Z),divide(X,zero)),zero).
% 48 [hyper:18,24] equal(divide(divide(X,divide(X,zero)),Y),zero).
% 49 [hyper:19,24] equal(divide(divide(X,divide(Y,zero)),divide(X,divide(Y,Z))),zero).
% 51 [hyper:15,48,14] equal(zero,divide(X,divide(X,zero))).
% 59 [hyper:17,13,12] equal(divide(divide(divide(X,Y),divide(Z,Y)),divide(X,Z)),zero).
% 60 [hyper:17,13,24] equal(divide(divide(divide(X,Y),divide(Z,Y)),divide(divide(X,Z),zero)),zero).
% 62 [para:16.1.1,13.1.1.2.1,demod:14] equal(divide(divide(divide(X,Y),divide(identity,Y)),zero),zero).
% 65 [hyper:15,34,13,demod:36] equal(divide(divide(X,Y),zero),divide(divide(X,Y),Y)).
% 70 [hyper:17,34,13] equal(divide(divide(divide(X,Y),divide(Z,Y)),divide(divide(X,Z),divide(Y,U))),zero).
% 72 [hyper:17,34,13] equal(divide(divide(divide(X,Y),Z),divide(divide(X,Z),Y)),zero).
% 73 [para:65.1.1,24.1.1.2] equal(divide(divide(divide(X,Y),Z),divide(divide(X,Y),Y)),zero).
% 109 [hyper:18,62] equal(divide(divide(divide(X,Y),zero),divide(identity,Y)),zero).
% 116 [hyper:17,109,24] equal(divide(divide(divide(X,Y),Z),divide(identity,Y)),zero).
% 126 [hyper:17,116,13] equal(divide(divide(divide(X,Y),divide(Z,Y)),divide(identity,Z)),zero).
% 169 [hyper:18,59] equal(divide(divide(divide(X,Y),divide(X,Z)),divide(Z,Y)),zero).
% 201 [hyper:15,72,demod:72,cut:11] equal(divide(divide(X,Y),Z),divide(divide(X,Z),Y)).
% 204 [hyper:17,72,13] equal(divide(divide(divide(X,Y),divide(Z,Y)),divide(divide(X,Y),Z)),zero).
% 212 [para:201.1.1,65.1.1] equal(divide(divide(X,zero),Y),divide(divide(X,Y),Y)).
% 243 [para:65.1.1,60.1.1.2] equal(divide(divide(divide(X,Y),divide(Z,Y)),divide(divide(X,Z),Z)),zero).
% 253 [para:65.1.1,212.1.1.1] equal(divide(divide(divide(X,Y),Y),Z),divide(divide(divide(X,Y),Z),Z)).
% 272 [hyper:17,73,72] equal(divide(divide(divide(X,Y),Z),divide(divide(X,Z),Z)),zero).
% 310 [hyper:17,272,169] equal(divide(divide(divide(X,Y),divide(X,Z)),divide(Z,divide(X,Z))),zero).
% 317 [hyper:15,126,48,demod:51] equal(zero,divide(divide(X,Y),divide(divide(identity,zero),Y))).
% 331 [para:201.1.1,317.1.2.2] equal(zero,divide(divide(X,Y),divide(divide(identity,Y),zero))).
% 338 [hyper:15,70,70] equal(divide(divide(X,Y),divide(Z,Y)),divide(divide(X,Z),divide(Y,Z))).
% 470 [para:14.1.1,338.1.1.2] equal(divide(divide(X,Y),zero),divide(divide(X,zero),divide(Y,zero))).
% 543 [hyper:15,204,demod:34,cut:11] equal(divide(divide(X,Y),Z),divide(divide(X,Y),divide(Z,Y))).
% 552 [para:543.1.2,201.1.1] equal(divide(divide(X,Y),Z),divide(divide(X,divide(Z,Y)),Y)).
% 554 [para:201.1.1,543.1.2.2] equal(divide(divide(X,Y),divide(Z,U)),divide(divide(X,Y),divide(divide(Z,Y),U))).
% 557 [para:212.1.1,543.1.2.2,demod:543,554] equal(divide(divide(X,Y),divide(Z,zero)),divide(divide(X,Y),Z)).
% 569 [para:253.1.1,543.1.2.2,demod:543,554] equal(divide(divide(X,Y),divide(divide(Z,U),U)),divide(divide(X,Y),divide(Z,U))).
% 577 [para:552.1.2,543.1.2.2,demod:554] equal(divide(divide(X,Y),divide(Z,divide(U,Y))),divide(divide(X,Y),divide(Z,U))).
% 578 [para:557.1.1,201.1.1] equal(divide(divide(X,Y),Z),divide(divide(X,divide(Z,zero)),Y)).
% 579 [para:201.1.1,557.1.1.2] equal(divide(divide(X,Y),divide(divide(Z,zero),U)),divide(divide(X,Y),divide(Z,U))).
% 606 [para:331.1.2,243.1.1.1.2,demod:569,578] equal(divide(divide(divide(X,zero),divide(identity,Y)),divide(X,divide(Z,Y))),zero).
% 629 [hyper:15,310,46,demod:543,demod:36,577] equal(divide(divide(X,Y),zero),divide(divide(X,zero),divide(X,divide(X,Y)))).
% 756 [hyper:15,606,49,demod:579,demod:14,16,470] equal(divide(X,divide(identity,zero)),zero).
% 767 [hyper:15,756,16] equal(divide(identity,zero),identity).
% 773 [para:767.1.1,201.1.1.1] equal(divide(identity,X),divide(divide(identity,X),zero)).
% 780 [para:767.1.1,629.1.2.1,demod:773,slowcut:20] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using hyperresolution
% not using sos strategy
% using positive unit paramodulation 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 4
% seconds given: 30
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 194
% derived clauses: 172281
% kept clauses: 318
% kept size sum: 4866
% kept mid-nuclei: 436
% kept new demods: 219
% forw unit-subs: 108910
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 23
% fast unit cutoff: 3
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 2.3
% process. runtime: 2.2
% specific non-discr-tree subsumption statistics:
% tried: 1
% length fails: 1
% 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/HEN009-5+eq_r.in")
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