TSTP Solution File: BOO028-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : BOO028-1 : TPTP v3.4.2. Released v2.2.0.
% Transfm : add_equality:r
% Format : otter:hypothesis:set(auto),clear(print_given)
% Command : gandalf-wrapper -time %d %s
% Computer : art03.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 :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----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/BOO/BOO028-1+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 4 1)
% (binary-posweight-lex-big-order 30 #f 4 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(12,40,0,24,0,0)
%
%
% START OF PROOF
% 14 [] equal(add(X,multiply(Y,multiply(X,Z))),X).
% 16 [] equal(multiply(add(X,Y),add(X,inverse(Y))),X).
% 17 [] equal(multiply(X,add(Y,add(X,Z))),X).
% 19 [] equal(add(multiply(X,Y),multiply(X,inverse(Y))),X).
% 20 [] equal(add(X,Y),add(Y,X)).
% 21 [] equal(multiply(X,Y),multiply(Y,X)).
% 22 [] equal(add(add(X,Y),Z),add(X,add(Y,Z))).
% 23 [] equal(multiply(multiply(X,Y),Z),multiply(X,multiply(Y,Z))).
% 24 [] -equal(multiply(a,add(b,c)),add(multiply(b,a),multiply(c,a))).
% 25 [para:14.1.1,20.1.1] equal(X,add(multiply(Y,multiply(X,Z)),X)).
% 29 [para:20.1.1,17.1.1.2.2] equal(multiply(X,add(Y,add(Z,X))),X).
% 31 [para:17.1.1,14.1.1.2.2] equal(add(X,multiply(Y,X)),X).
% 32 [para:14.1.1,17.1.1.2.2] equal(multiply(X,add(Y,X)),X).
% 33 [para:20.1.1,24.1.1.2] -equal(multiply(a,add(c,b)),add(multiply(b,a),multiply(c,a))).
% 38 [para:31.1.1,20.1.1] equal(X,add(multiply(Y,X),X)).
% 42 [para:32.1.1,21.1.1] equal(X,multiply(add(Y,X),X)).
% 46 [para:21.1.1,38.1.2.1] equal(X,add(multiply(X,Y),X)).
% 48 [para:38.1.2,32.1.1.2] equal(multiply(X,X),X).
% 51 [para:20.1.1,33.1.2] -equal(multiply(a,add(c,b)),add(multiply(c,a),multiply(b,a))).
% 63 [para:46.1.2,17.1.1.2.2,demod:23] equal(multiply(X,multiply(Y,add(Z,X))),multiply(X,Y)).
% 64 [para:20.1.1,16.1.1.1] equal(multiply(add(X,Y),add(Y,inverse(X))),Y).
% 65 [para:20.1.1,16.1.1.2] equal(multiply(add(X,Y),add(inverse(Y),X)),X).
% 66 [para:16.1.1,21.1.1] equal(X,multiply(add(X,inverse(Y)),add(X,Y))).
% 67 [para:16.1.1,14.1.1.2.2,demod:22] equal(add(X,add(Y,multiply(Z,X))),add(X,Y)).
% 68 [para:38.1.2,16.1.1.1] equal(multiply(X,add(multiply(Y,X),inverse(X))),multiply(Y,X)).
% 84 [para:29.1.1,21.1.1] equal(X,multiply(add(Y,add(Z,X)),X)).
% 92 [para:19.1.1,20.1.1] equal(X,add(multiply(X,inverse(Y)),multiply(X,Y))).
% 93 [para:21.1.1,19.1.1.1] equal(add(multiply(X,Y),multiply(Y,inverse(X))),Y).
% 94 [para:21.1.1,19.1.1.2] equal(add(multiply(X,Y),multiply(inverse(Y),X)),X).
% 106 [para:31.1.1,22.1.1.1] equal(add(X,Y),add(X,add(multiply(Z,X),Y))).
% 126 [para:65.1.1,21.1.1] equal(X,multiply(add(inverse(Y),X),add(X,Y))).
% 134 [para:21.1.1,92.1.2.1] equal(X,add(multiply(inverse(Y),X),multiply(X,Y))).
% 142 [para:23.1.1,94.1.1.1] equal(add(multiply(X,multiply(Y,Z)),multiply(inverse(Z),multiply(X,Y))),multiply(X,Y)).
% 172 [para:21.1.1,51.1.2.1] -equal(multiply(a,add(c,b)),add(multiply(a,c),multiply(b,a))).
% 187 [para:66.1.2,63.1.1.2] equal(multiply(X,Y),multiply(X,add(Y,inverse(X)))).
% 188 [para:126.1.2,63.1.1.2] equal(multiply(X,Y),multiply(X,add(inverse(X),Y))).
% 191 [para:38.1.2,187.1.2.2] equal(multiply(X,multiply(Y,inverse(X))),multiply(X,inverse(X))).
% 194 [para:187.1.2,93.1.1.1,demod:42] equal(add(multiply(X,Y),inverse(X)),add(Y,inverse(X))).
% 196 [para:187.1.2,63.1.1.2] equal(multiply(inverse(X),multiply(X,Y)),multiply(inverse(X),X)).
% 212 [para:92.1.2,67.1.1.2] equal(add(X,Y),add(X,multiply(Y,inverse(X)))).
% 213 [para:134.1.2,67.1.1.2] equal(add(X,Y),add(X,multiply(inverse(X),Y))).
% 219 [para:212.1.2,64.1.1.1,demod:38] equal(multiply(add(X,Y),inverse(X)),multiply(Y,inverse(X))).
% 221 [para:213.1.2,20.1.1] equal(add(X,Y),add(multiply(inverse(X),Y),X)).
% 307 [para:221.1.2,68.1.1.2,demod:48,188] equal(X,multiply(inverse(inverse(X)),X)).
% 476 [para:191.1.1,14.1.1.2] equal(add(X,multiply(Y,inverse(Y))),X).
% 478 [para:191.1.1,25.1.2.1] equal(X,add(multiply(Y,inverse(Y)),X)).
% 486 [para:476.1.1,94.1.1,demod:307] equal(X,inverse(inverse(X))).
% 490 [para:21.1.1,478.1.2.1] equal(X,add(multiply(inverse(Y),Y),X)).
% 529 [para:196.1.1,19.1.1.1,demod:490] equal(multiply(inverse(X),inverse(multiply(X,Y))),inverse(X)).
% 531 [para:196.1.1,94.1.1.1,demod:490] equal(multiply(inverse(multiply(X,Y)),inverse(X)),inverse(X)).
% 532 [para:21.1.1,529.1.1.2.1] equal(multiply(inverse(X),inverse(multiply(Y,X))),inverse(X)).
% 549 [para:16.1.1,531.1.1.1.1] equal(multiply(inverse(X),inverse(add(X,Y))),inverse(add(X,Y))).
% 743 [para:19.1.1,219.1.1.1,demod:532,23] equal(multiply(X,inverse(multiply(X,Y))),multiply(X,inverse(Y))).
% 746 [para:219.1.1,93.1.1.1,demod:549] equal(add(multiply(X,inverse(Y)),inverse(add(Y,X))),inverse(Y)).
% 756 [para:219.1.1,194.1.1.1,demod:746] equal(inverse(X),add(inverse(X),inverse(add(X,Y)))).
% 761 [para:20.1.1,756.1.2.2.1] equal(inverse(X),add(inverse(X),inverse(add(Y,X)))).
% 789 [para:761.1.2,84.1.2.1.2] equal(inverse(add(X,Y)),multiply(add(Z,inverse(Y)),inverse(add(X,Y)))).
% 1038 [para:66.1.2,743.1.1.2.1,demod:789,219] equal(multiply(inverse(X),inverse(Y)),inverse(add(Y,X))).
% 1054 [para:486.1.2,1038.1.1.2] equal(multiply(inverse(X),Y),inverse(add(inverse(Y),X))).
% 1113 [para:65.1.1,142.1.1.1.2,demod:63,23,1054] equal(add(multiply(X,Y),multiply(inverse(Y),multiply(Z,X))),multiply(X,add(Y,Z))).
% 1115 [para:142.1.1,106.1.2.2,demod:1113,slowcut:172] 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:
%
% given clauses: 274
% derived clauses: 55756
% kept clauses: 1089
% kept size sum: 15601
% kept mid-nuclei: 0
% kept new demods: 736
% forw unit-subs: 41951
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 4
% fast unit cutoff: 0
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 0.72
% process. runtime: 0.72
% 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/BOO028-1+eq_r.in")
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