TSTP Solution File: ALG005-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : ALG005-1 : 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 : 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 :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
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%----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/ALG/ALG005-1+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 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(6,40,0,12,0,0,88,50,7,94,0,7)
%
%
% START OF PROOF
% 90 [] equal(difference(X,difference(Y,X)),X).
% 91 [] equal(difference(X,difference(X,Y)),difference(Y,difference(Y,X))).
% 92 [] equal(difference(difference(X,Y),Z),difference(difference(X,Z),difference(Y,Z))).
% 93 [] equal(multiply(X,Y),difference(X,difference(X,Y))).
% 94 [] -equal(multiply(multiply(a,b),c),multiply(a,multiply(b,c))).
% 95 [para:90.1.1,90.1.1.2] equal(difference(difference(X,Y),Y),difference(X,Y)).
% 97 [para:93.1.2,90.1.1.2] equal(difference(difference(X,Y),multiply(X,Y)),difference(X,Y)).
% 98 [para:90.1.1,93.1.2.2] equal(multiply(X,difference(Y,X)),difference(X,X)).
% 101 [para:93.1.2,95.1.1.1,demod:93] equal(difference(multiply(X,Y),difference(X,Y)),multiply(X,Y)).
% 104 [para:90.1.1,91.1.1.2,demod:92,95] equal(difference(X,X),difference(difference(Y,Y),X)).
% 105 [para:90.1.1,91.1.2.2,demod:92,95] equal(difference(difference(X,X),Y),difference(Y,Y)).
% 106 [para:91.1.1,93.1.2,demod:93] equal(multiply(X,Y),multiply(Y,X)).
% 108 [para:93.1.2,91.1.1.2,demod:93] equal(difference(X,multiply(X,Y)),multiply(difference(X,Y),X)).
% 116 [para:106.1.1,98.1.1] equal(multiply(difference(X,Y),Y),difference(Y,Y)).
% 117 [para:104.1.2,90.1.1,demod:92] equal(difference(difference(X,X),difference(Y,Y)),difference(Y,Y)).
% 119 [para:104.1.2,91.1.1,demod:93,117,92] equal(difference(difference(X,X),Y),multiply(Y,difference(X,X))).
% 127 [para:92.1.2,93.1.2,demod:93,116] equal(difference(X,X),difference(multiply(Y,X),X)).
% 128 [para:92.1.2,93.1.2.2,demod:93,92] equal(multiply(difference(X,Y),difference(Z,Y)),difference(multiply(X,Z),Y)).
% 129 [para:93.1.2,92.1.2.1] equal(difference(difference(X,Y),difference(X,Z)),difference(multiply(X,Z),difference(Y,difference(X,Z)))).
% 131 [para:95.1.1,92.1.2.1,demod:92] equal(difference(difference(difference(X,Y),Z),Y),difference(difference(X,Z),Y)).
% 140 [para:104.1.1,92.1.2.2,demod:92,95] equal(difference(X,Y),difference(difference(X,difference(Z,Z)),Y)).
% 143 [para:105.1.1,90.1.1,demod:119,93,140] equal(difference(difference(X,X),Y),difference(X,X)).
% 144 [para:105.1.2,90.1.1.2,demod:143] equal(difference(X,difference(Y,Y)),X).
% 147 [para:105.1.2,92.1.2.1,demod:143] equal(difference(difference(X,Y),X),difference(Z,Z)).
% 152 [para:106.1.1,127.1.2.1] equal(difference(X,X),difference(multiply(X,Y),X)).
% 154 [para:127.1.2,92.1.2.2,demod:95,92] equal(difference(difference(X,multiply(Y,Z)),Z),difference(X,Z)).
% 159 [para:147.1.1,93.1.2.2,demod:144,108] equal(difference(X,multiply(X,Y)),difference(X,Y)).
% 166 [para:147.1.1,92.1.2.2,demod:144] equal(difference(difference(X,difference(Y,Z)),Y),difference(X,Y)).
% 175 [para:152.1.2,92.1.2.2,demod:95,92] equal(difference(difference(X,multiply(Y,Z)),Y),difference(X,Y)).
% 180 [para:106.1.1,159.1.1.2] equal(difference(X,multiply(Y,X)),difference(X,Y)).
% 187 [para:101.1.1,92.1.2.1,demod:129] equal(difference(difference(multiply(X,Y),Z),difference(X,Y)),difference(difference(X,Z),difference(X,Y))).
% 238 [para:166.1.1,93.1.2.2] equal(multiply(difference(X,difference(Y,Z)),Y),difference(difference(X,difference(Y,Z)),difference(X,Y))).
% 293 [para:93.1.2,128.1.1.1] equal(multiply(multiply(X,Y),difference(Z,difference(X,Y))),difference(multiply(X,Z),difference(X,Y))).
% 294 [para:93.1.2,128.1.1.2] equal(multiply(difference(X,difference(Y,Z)),multiply(Y,Z)),difference(multiply(X,Y),difference(Y,Z))).
% 295 [para:95.1.1,128.1.1.1,demod:128] equal(difference(multiply(X,Y),Z),difference(multiply(difference(X,Z),Y),Z)).
% 296 [para:95.1.1,128.1.1.2,demod:128] equal(difference(multiply(X,Y),Z),difference(multiply(X,difference(Y,Z)),Z)).
% 307 [para:101.1.1,128.1.1.1,demod:293] equal(difference(multiply(X,Y),difference(X,Z)),difference(multiply(multiply(X,Z),Y),difference(X,Z))).
% 308 [para:101.1.1,128.1.1.2,demod:294] equal(difference(multiply(X,Y),difference(Y,Z)),difference(multiply(X,multiply(Y,Z)),difference(Y,Z))).
% 364 [para:131.1.1,93.1.2.2] equal(multiply(difference(difference(X,Y),Z),Y),difference(difference(difference(X,Y),Z),difference(difference(X,Z),Y))).
% 365 [para:131.1.1,147.1.1.1,demod:364] equal(multiply(difference(difference(X,Y),Z),Y),difference(U,U)).
% 404 [para:365.1.1,180.1.1.2,demod:144] equal(X,difference(X,difference(difference(Y,X),Z))).
% 415 [para:91.1.1,404.1.2.2,demod:93] equal(X,difference(X,multiply(Y,difference(Z,X)))).
% 419 [para:154.1.1,404.1.2.2] equal(multiply(X,Y),difference(multiply(X,Y),difference(Z,Y))).
% 422 [para:175.1.1,404.1.2.2] equal(multiply(X,Y),difference(multiply(X,Y),difference(Z,X))).
% 423 [para:404.1.2,129.1.2.2,demod:295,93,95] equal(multiply(difference(X,Y),Z),difference(multiply(X,Z),Y)).
% 439 [para:415.1.2,90.1.1.2,demod:296] equal(difference(multiply(X,Y),Z),multiply(X,difference(Y,Z))).
% 466 [para:97.1.1,419.1.2.2,demod:308] equal(multiply(X,multiply(Y,Z)),difference(multiply(X,Y),difference(Y,Z))).
% 483 [para:97.1.1,422.1.2.2,demod:307] equal(multiply(multiply(X,Y),Z),difference(multiply(X,Z),difference(X,Y))).
% 496 [para:439.1.2,159.1.1.2] equal(difference(X,difference(multiply(X,Y),Z)),difference(X,difference(Y,Z))).
% 533 [para:93.1.2,187.1.1.1,demod:466,423,238,496,483,307,slowcut:94] 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: 245
% derived clauses: 45464
% kept clauses: 513
% kept size sum: 7087
% kept mid-nuclei: 0
% kept new demods: 318
% forw unit-subs: 39942
% 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 : 0.66
% process. runtime: 0.64
% 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/ALG/ALG005-1+eq_r.in")
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