TSTP Solution File: GRP170-3 by Gandalf---c-2.6
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% File : Gandalf---c-2.6
% Problem : GRP170-3 : 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 : art10.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/GRP/GRP170-3+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: ueq
%
% 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)
%
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(19,40,0,38,0,0,195,50,15,214,0,15)
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%
% START OF PROOF
% 196 [] equal(X,X).
% 197 [] equal(multiply(identity,X),X).
% 198 [] equal(multiply(inverse(X),X),identity).
% 199 [] equal(multiply(multiply(X,Y),Z),multiply(X,multiply(Y,Z))).
% 202 [] equal(greatest_lower_bound(X,greatest_lower_bound(Y,Z)),greatest_lower_bound(greatest_lower_bound(X,Y),Z)).
% 207 [] equal(greatest_lower_bound(X,least_upper_bound(X,Y)),X).
% 208 [] equal(multiply(X,least_upper_bound(Y,Z)),least_upper_bound(multiply(X,Y),multiply(X,Z))).
% 209 [] equal(multiply(X,greatest_lower_bound(Y,Z)),greatest_lower_bound(multiply(X,Y),multiply(X,Z))).
% 211 [] equal(multiply(greatest_lower_bound(X,Y),Z),greatest_lower_bound(multiply(X,Z),multiply(Y,Z))).
% 212 [] equal(least_upper_bound(a,b),b).
% 213 [] equal(least_upper_bound(c,d),d).
% 214 [] -equal(greatest_lower_bound(multiply(a,c),multiply(b,d)),multiply(a,c)).
% 221 [para:213.1.1,207.1.1.2] equal(greatest_lower_bound(c,d),c).
% 226 [para:198.1.1,199.1.1.1,demod:197] equal(X,multiply(inverse(Y),multiply(Y,X))).
% 239 [para:221.1.1,202.1.2.1] equal(greatest_lower_bound(c,greatest_lower_bound(d,X)),greatest_lower_bound(c,X)).
% 249 [para:198.1.1,226.1.2.2] equal(X,multiply(inverse(inverse(X)),identity)).
% 251 [para:226.1.2,226.1.2.2] equal(multiply(X,Y),multiply(inverse(inverse(X)),Y)).
% 283 [para:198.1.1,208.1.2.1] equal(multiply(inverse(X),least_upper_bound(X,Y)),least_upper_bound(identity,multiply(inverse(X),Y))).
% 302 [para:226.1.2,209.1.2.2] equal(multiply(inverse(X),greatest_lower_bound(Y,multiply(X,Z))),greatest_lower_bound(multiply(inverse(X),Y),Z)).
% 331 [para:197.1.1,211.1.2.1] equal(multiply(greatest_lower_bound(identity,X),Y),greatest_lower_bound(Y,multiply(X,Y))).
% 420 [para:251.1.2,249.1.2] equal(X,multiply(X,identity)).
% 422 [para:420.1.2,249.1.2] equal(X,inverse(inverse(X))).
% 971 [para:283.1.2,207.1.1.2] equal(greatest_lower_bound(identity,multiply(inverse(X),least_upper_bound(X,Y))),identity).
% 1064 [para:212.1.1,971.1.1.2.2] equal(greatest_lower_bound(identity,multiply(inverse(a),b)),identity).
% 2482 [para:1064.1.1,331.1.1.1,demod:199,197] equal(X,greatest_lower_bound(X,multiply(inverse(a),multiply(b,X)))).
% 2518 [para:2482.1.2,239.1.1.2,demod:221] equal(c,greatest_lower_bound(c,multiply(inverse(a),multiply(b,d)))).
% 2656 [para:2518.1.2,302.1.1.2,demod:422] equal(multiply(a,c),greatest_lower_bound(multiply(a,c),multiply(b,d))).
% 5985 [para:2656.1.2,214.1.1,cut:196] 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 4
% seconds given: 60
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
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% given clauses: 808
% derived clauses: 172483
% kept clauses: 5927
% kept size sum: 93739
% kept mid-nuclei: 0
% kept new demods: 4763
% forw unit-subs: 110579
% 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 : 2.61
% process. runtime: 2.60
% 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/GRP/GRP170-3+eq_r.in")
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