TSTP Solution File: RNG008-4 by Gandalf---c-2.6
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% File : Gandalf---c-2.6
% Problem : RNG008-4 : 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 : art07.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/RNG/RNG008-4+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
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% prove-all-passes started
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% 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(18,40,0,36,0,0)
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%
% START OF PROOF
% 20 [] equal(add(additive_identity,X),X).
% 21 [] equal(add(additive_inverse(X),X),additive_identity).
% 22 [] equal(multiply(X,add(Y,Z)),add(multiply(X,Y),multiply(X,Z))).
% 23 [] equal(multiply(add(X,Y),Z),add(multiply(X,Z),multiply(Y,Z))).
% 25 [] equal(additive_inverse(additive_inverse(X)),X).
% 29 [] equal(multiply(X,additive_inverse(Y)),additive_inverse(multiply(X,Y))).
% 30 [] equal(multiply(additive_inverse(X),Y),additive_inverse(multiply(X,Y))).
% 31 [] equal(add(add(X,Y),Z),add(X,add(Y,Z))).
% 32 [] equal(add(X,Y),add(Y,X)).
% 34 [] equal(multiply(X,X),X).
% 35 [] equal(multiply(a,b),c).
% 36 [] -equal(multiply(b,a),c).
% 39 [para:34.1.1,22.1.2.2] equal(multiply(X,add(Y,X)),add(multiply(X,Y),X)).
% 45 [para:29.1.1,34.1.1,demod:25,34,30] equal(X,additive_inverse(X)).
% 47 [para:34.1.1,23.1.2.1] equal(multiply(add(X,Y),X),add(X,multiply(Y,X))).
% 48 [para:34.1.1,23.1.2.2] equal(multiply(add(X,Y),Y),add(multiply(X,Y),Y)).
% 52 [para:21.1.1,31.1.1.1,demod:45,20] equal(X,add(Y,add(Y,X))).
% 56 [para:52.1.2,32.1.1,demod:31] equal(X,add(Y,add(X,Y))).
% 71 [para:56.1.2,39.1.1.2,demod:56,31,48,47] equal(add(X,multiply(Y,X)),add(multiply(X,Y),X)).
% 79 [para:71.1.2,56.1.2.2,demod:52] equal(multiply(X,Y),multiply(Y,X)).
% 82 [para:79.1.1,35.1.1,cut:36] contradiction
% END OF PROOF
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% Proof found by the following strategy:
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% 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***
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% Global statistics over all passes:
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% given clauses: 44
% derived clauses: 1117
% kept clauses: 45
% kept size sum: 435
% kept mid-nuclei: 0
% kept new demods: 49
% forw unit-subs: 721
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 0
% fast unit cutoff: 1
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 0.2
% process. runtime: 0.1
% 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/RNG/RNG008-4+eq_r.in")
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