TSTP Solution File: BOO016-2 by Gandalf---c-2.6
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% File : Gandalf---c-2.6
% Problem : BOO016-2 : 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 : art06.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
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% Gandalf c-2.6 r1 starting to prove: /home/graph/tptp/TSTP/PreparedTPTP/otter:hypothesis:set(auto),clear(print_given)---add_equality:r/BOO/BOO016-2+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: ueq
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% strategies selected:
% (binary-posweight-kb-big-order 60 #f 3 1)
% (binary-posweight-lex-big-order 30 #f 3 1)
% (binary 30 #t)
% (binary-posweight-kb-big-order 180 #f)
% (binary-posweight-lex-big-order 120 #f)
% (binary-posweight-firstpref-order 60 #f)
% (binary-posweight-kb-small-order 60 #f)
% (binary-posweight-lex-small-order 60 #f)
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%
% ********* EMPTY CLAUSE DERIVED *********
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%
% timer checkpoints: c(17,40,0,34,0,0)
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%
% START OF PROOF
% 18 [] equal(X,X).
% 19 [] equal(add(X,Y),add(Y,X)).
% 20 [] equal(multiply(X,Y),multiply(Y,X)).
% 21 [] equal(add(multiply(X,Y),Z),multiply(add(X,Z),add(Y,Z))).
% 23 [] equal(multiply(add(X,Y),Z),add(multiply(X,Z),multiply(Y,Z))).
% 25 [] equal(add(X,inverse(X)),multiplicative_identity).
% 27 [] equal(multiply(X,inverse(X)),additive_identity).
% 30 [] equal(multiply(multiplicative_identity,X),X).
% 31 [] equal(add(X,additive_identity),X).
% 32 [] equal(add(additive_identity,X),X).
% 33 [] equal(multiply(x,y),z).
% 34 [] -equal(add(x,z),x).
% 35 [para:25.1.1,32.1.1] equal(multiplicative_identity,inverse(additive_identity)).
% 37 [para:19.1.1,34.1.1] -equal(add(z,x),x).
% 38 [para:20.1.1,33.1.1] equal(multiply(y,x),z).
% 41 [para:25.1.1,21.1.2.1,demod:30] equal(add(multiply(X,Y),inverse(X)),add(Y,inverse(X))).
% 48 [para:35.1.2,41.1.1.2,demod:35] equal(add(multiply(additive_identity,X),multiplicative_identity),add(X,multiplicative_identity)).
% 64 [para:20.1.1,48.1.1.1] equal(add(multiply(X,additive_identity),multiplicative_identity),add(X,multiplicative_identity)).
% 67 [para:30.1.1,23.1.2.2] equal(multiply(add(X,multiplicative_identity),Y),add(multiply(X,Y),Y)).
% 70 [para:27.1.1,23.1.2.1,demod:32] equal(multiply(add(X,Y),inverse(X)),multiply(Y,inverse(X))).
% 75 [para:38.1.1,23.1.2.1] equal(multiply(add(y,X),x),add(z,multiply(X,x))).
% 229 [para:67.1.1,64.1.1.1,demod:64,31] equal(add(X,multiplicative_identity),add(add(X,multiplicative_identity),multiplicative_identity)).
% 326 [para:229.1.2,70.1.1.1,demod:30,27] equal(additive_identity,inverse(add(X,multiplicative_identity))).
% 328 [para:326.1.2,25.1.1.2,demod:31] equal(add(X,multiplicative_identity),multiplicative_identity).
% 334 [para:328.1.1,75.1.1.1,demod:30] equal(x,add(z,x)).
% 356 [para:334.1.2,37.1.1,cut:18] 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 1
% clause depth limited to 3
% seconds given: 60
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
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% given clauses: 160
% derived clauses: 7600
% kept clauses: 321
% kept size sum: 3140
% kept mid-nuclei: 0
% kept new demods: 237
% forw unit-subs: 4691
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 6
% fast unit cutoff: 1
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 0.8
% process. runtime: 0.7
% 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/BOO/BOO016-2+eq_r.in")
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