TSTP Solution File: BOO008-4 by Gandalf---c-2.6
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% File : Gandalf---c-2.6
% Problem : BOO008-4 : TPTP v3.4.2. Released v1.1.0.
% 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 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/BOO008-4+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(10,40,0,20,0,0,150,50,11,160,0,11)
%
%
% START OF PROOF
% 152 [] equal(add(X,Y),add(Y,X)).
% 153 [] equal(multiply(X,Y),multiply(Y,X)).
% 154 [] equal(add(X,multiply(Y,Z)),multiply(add(X,Y),add(X,Z))).
% 155 [] equal(multiply(X,add(Y,Z)),add(multiply(X,Y),multiply(X,Z))).
% 156 [] equal(add(X,additive_identity),X).
% 157 [] equal(multiply(X,multiplicative_identity),X).
% 158 [] equal(add(X,inverse(X)),multiplicative_identity).
% 159 [] equal(multiply(X,inverse(X)),additive_identity).
% 160 [] -equal(add(a,add(b,c)),add(add(a,b),c)).
% 161 [para:152.1.1,156.1.1] equal(add(additive_identity,X),X).
% 162 [para:152.1.1,158.1.1] equal(add(inverse(X),X),multiplicative_identity).
% 164 [para:152.1.1,160.1.1.2] -equal(add(a,add(c,b)),add(add(a,b),c)).
% 171 [para:153.1.1,157.1.1] equal(multiply(multiplicative_identity,X),X).
% 172 [para:153.1.1,159.1.1] equal(multiply(inverse(X),X),additive_identity).
% 177 [para:156.1.1,154.1.2.1] equal(add(X,multiply(additive_identity,Y)),multiply(X,add(X,Y))).
% 179 [para:158.1.1,154.1.2.1,demod:171] equal(add(X,multiply(inverse(X),Y)),add(X,Y)).
% 181 [para:152.1.1,154.1.2.1] equal(add(X,multiply(Y,Z)),multiply(add(Y,X),add(X,Z))).
% 183 [para:162.1.1,154.1.2.1,demod:171] equal(add(inverse(X),multiply(X,Y)),add(inverse(X),Y)).
% 186 [para:157.1.1,179.1.1.2,demod:158] equal(multiplicative_identity,add(X,multiplicative_identity)).
% 187 [para:159.1.1,179.1.1.2,demod:156] equal(X,add(X,inverse(inverse(X)))).
% 190 [para:172.1.1,179.1.1.2,demod:156] equal(X,add(X,X)).
% 191 [para:190.1.2,154.1.2.1] equal(add(X,multiply(X,Y)),multiply(X,add(X,Y))).
% 193 [para:186.1.2,152.1.1] equal(multiplicative_identity,add(multiplicative_identity,X)).
% 194 [para:157.1.1,155.1.2.1,demod:157,193] equal(X,add(X,multiply(X,Y))).
% 196 [para:159.1.1,155.1.2.1,demod:161] equal(multiply(X,add(inverse(X),Y)),multiply(X,Y)).
% 205 [para:154.1.2,155.1.2.1] equal(multiply(add(X,Y),add(add(X,Z),U)),add(add(X,multiply(Y,Z)),multiply(add(X,Y),U))).
% 206 [para:154.1.2,155.1.2.2] equal(multiply(add(X,Y),add(Z,add(X,U))),add(multiply(add(X,Y),Z),add(X,multiply(Y,U)))).
% 207 [para:187.1.2,152.1.1] equal(X,add(inverse(inverse(X)),X)).
% 208 [para:194.1.2,161.1.1] equal(additive_identity,multiply(additive_identity,X)).
% 233 [para:152.1.1,177.1.2.2,demod:156,208] equal(X,multiply(X,add(Y,X))).
% 234 [para:177.1.2,179.1.1.2,demod:158,156,208] equal(multiplicative_identity,add(X,add(inverse(X),Y))).
% 251 [para:233.1.2,153.1.1] equal(X,multiply(add(Y,X),X)).
% 274 [para:234.1.2,152.1.1] equal(multiplicative_identity,add(add(inverse(X),Y),X)).
% 359 [para:172.1.1,183.1.1.2,demod:207,156] equal(inverse(inverse(X)),X).
% 363 [para:177.1.2,183.1.1.2,demod:162,156,208] equal(multiplicative_identity,add(inverse(X),add(X,Y))).
% 376 [para:359.1.1,274.1.2.1.1] equal(multiplicative_identity,add(add(X,Y),inverse(X))).
% 389 [para:363.1.2,181.1.2.1,demod:171] equal(add(add(X,Y),multiply(inverse(X),Z)),add(add(X,Y),Z)).
% 438 [para:196.1.1,153.1.1] equal(multiply(X,Y),multiply(add(inverse(X),Y),X)).
% 503 [para:359.1.1,438.1.2.1.1] equal(multiply(inverse(X),Y),multiply(add(X,Y),inverse(X))).
% 702 [para:251.1.2,206.1.2.1,demod:194,191,181] equal(add(X,Y),add(X,add(Y,multiply(X,Z)))).
% 1029 [para:503.1.2,205.1.2.2,demod:389,157,376] equal(add(X,Y),add(add(X,multiply(Y,Z)),Y)).
% 1167 [para:251.1.2,702.1.2.2.2] equal(add(add(X,Y),Z),add(add(X,Y),add(Z,Y))).
% 1255 [para:251.1.2,1029.1.2.1.2,demod:1167,slowcut:164] 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: 378
% derived clauses: 55464
% kept clauses: 1223
% kept size sum: 16901
% kept mid-nuclei: 0
% kept new demods: 1026
% forw unit-subs: 43505
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 10
% fast unit cutoff: 0
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 0.55
% process. runtime: 0.53
% 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/BOO008-4+eq_r.in")
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