TSTP Solution File: HEN010-3 by Gandalf---c-2.6
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%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : HEN010-3 : 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 : 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 29.5s
% Output : Assurance 29.5s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----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/HEN010-3+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: heq
% detected subclass: small
% detected subclass: short
%
% strategies selected:
% (binary-unit-uniteq 30 #f)
% (binary-posweight-order 120 #f 4 5)
% (binary-posweight-order 240 #f)
% (binary-posweight-lex-big-order 60 #f)
% (binary-posweight-lex-small-order 12 #f)
% (binary-weightorder 24 #f)
% (hyper 30 #f)
% (binary 24 #t)
% (binary-order 30 #f)
% (binary-unit 30 #f)
%
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(9,40,1,18,0,1,23447,3,1504,29512,4,2252,52577,5,3030,52577,1,3030,52577,50,3033,52577,40,3033,52586,0,3033)
%
%
% START OF PROOF
% 52578 [] equal(X,X).
% 52579 [] equal(divide(X,Y),zero) | -less_equal(X,Y).
% 52580 [] -equal(divide(X,Y),zero) | less_equal(X,Y).
% 52581 [] less_equal(divide(X,Y),X).
% 52582 [] less_equal(divide(divide(X,Y),divide(Z,Y)),divide(divide(X,Z),Y)).
% 52583 [] less_equal(zero,X).
% 52584 [] -less_equal(Y,X) | -less_equal(X,Y) | equal(X,Y).
% 52585 [] less_equal(X,identity).
% 52586 [] -equal(divide(identity,a),divide(divide(identity,a),divide(identity,divide(identity,a)))).
% 52588 [binary:52583,52579.2] equal(divide(zero,X),zero).
% 52589 [binary:52585,52579.2] equal(divide(X,identity),zero).
% 52590 [binary:52581,52579.2] equal(divide(divide(X,Y),X),zero).
% 52595 [binary:52581,52584] -less_equal(X,divide(X,Y)) | equal(X,divide(X,Y)).
% 52596 [binary:52579.2,52582] equal(divide(divide(divide(X,Y),divide(Z,Y)),divide(divide(X,Z),Y)),zero).
% 52597 [para:52588.1.1,52582.1.1.2] less_equal(divide(divide(X,Y),zero),divide(divide(X,zero),Y)).
% 52598 [para:52589.1.1,52582.1.2.1,demod:52588] less_equal(divide(divide(X,Y),divide(identity,Y)),zero).
% 52599 [para:52590.1.1,52582.1.1.2] less_equal(divide(divide(X,Y),zero),divide(divide(X,divide(Y,Z)),Y)).
% 52600 [para:52590.1.1,52582.1.2] less_equal(divide(divide(X,X),divide(Y,X)),zero).
% 52602 [binary:52584,52582] -less_equal(divide(divide(X,Y),Z),divide(divide(X,Z),divide(Y,Z))) | equal(divide(divide(X,Y),Z),divide(divide(X,Z),divide(Y,Z))).
% 52606 [para:52588.1.1,52600.1.1.2] less_equal(divide(divide(X,X),zero),zero).
% 52609 [binary:52584,52606,cut:52583] equal(zero,divide(divide(X,X),zero)).
% 52610 [para:52609.1.2,52580.1.1,cut:52578] less_equal(divide(X,X),zero).
% 52614 [para:52609.1.2,52595.1.2,demod:52609,cut:52610] equal(divide(X,X),zero).
% 52619 [binary:52584,52598,cut:52583] equal(zero,divide(divide(X,Y),divide(identity,Y))).
% 52622 [para:52619.1.2,52580.1.1,cut:52578] less_equal(divide(X,Y),divide(identity,Y)).
% 52626 [binary:52584,52622] -less_equal(divide(identity,X),divide(Y,X)) | equal(divide(identity,X),divide(Y,X)).
% 52629 [para:52614.1.1,52597.1.2] less_equal(divide(divide(X,divide(X,zero)),zero),zero).
% 52631 [binary:52584,52629,cut:52583] equal(zero,divide(divide(X,divide(X,zero)),zero)).
% 52632 [para:52631.1.2,52580.1.1,cut:52578] less_equal(divide(X,divide(X,zero)),zero).
% 52633 [para:52631.1.2,52595.1.2,demod:52631,cut:52632] equal(divide(X,divide(X,zero)),zero).
% 52634 [para:52631.1.2,52595.1.2,demod:52631,cut:52632,binarydemod:52580] less_equal(X,divide(X,zero)).
% 52635 [binary:52584,52634,cut:52581] equal(divide(X,zero),X).
% 52638 [para:52590.1.1,52599.1.2.1,demod:52588,52635] less_equal(divide(divide(divide(X,Y),Z),X),zero).
% 52642 [para:52635.1.1,52599.1.2.1.2,demod:52635] less_equal(divide(X,Y),divide(divide(X,Y),Y)).
% 52645 [para:52633.1.1,52596.1.1.2,demod:52635,binarydemod:52580] less_equal(divide(X,divide(X,Y)),divide(Y,divide(X,Y))).
% 52646 [binary:52584,52642,cut:52581] equal(divide(divide(X,Y),Y),divide(X,Y)).
% 52649 [para:52590.1.1,52602.1.2.1,demod:52590,52588,cut:52638,binarydemod:52580] less_equal(divide(divide(X,Y),Z),X).
% 52658 [para:52646.1.1,52599.1.1.1,demod:52635] less_equal(divide(X,Y),divide(divide(divide(X,Y),divide(Y,Z)),Y)).
% 52672 [binary:52584,52658,cut:52649] equal(divide(divide(divide(X,Y),divide(Y,Z)),Y),divide(X,Y)).
% 52685 [para:52672.1.1,52595.1.2,demod:52672,cut:52581] equal(divide(divide(X,Y),divide(Y,Z)),divide(X,Y)).
% 52740 [binary:52645,52626] equal(divide(identity,divide(identity,X)),divide(X,divide(identity,X))).
% 52756 [para:52740.1.1,52586.1.2.2,demod:52685,cut:52578] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% using first neg lit preferred strategy
% not using sos 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 5
% clause depth limited to 4
% seconds given: 120
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 1260
% derived clauses: 1567479
% kept clauses: 35465
% kept size sum: 956477
% kept mid-nuclei: 16680
% kept new demods: 15907
% forw unit-subs: 1514331
% forw double-subs: 172
% forw overdouble-subs: 0
% backward subs: 86
% fast unit cutoff: 5957
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 30.88
% process. runtime: 30.35
% 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/HEN010-3+eq_r.in")
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