TSTP Solution File: ALG003-1 by Gandalf---c-2.6
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% File : Gandalf---c-2.6
% Problem : ALG003-1 : TPTP v3.4.2. Bugfixed v2.5.0.
% 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 9.9s
% Output : Assurance 9.9s
% 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/ALG/ALG003-1+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: peq
%
% strategies selected:
% (hyper 30 #f 4 5)
% (binary-unit 12 #f)
% (binary-unit-uniteq 12 #f)
% (binary-posweight-kb-big-order 60 #f 4 5)
% (binary-posweight-lex-big-order 30 #f 4 5)
% (binary 30 #t)
% (binary-posweight-kb-big-order 156 #f)
% (binary-posweight-lex-big-order 102 #f)
% (binary-posweight-firstpref-order 60 #f)
% (binary-order 30 #f)
% (binary-posweight-kb-small-order 48 #f)
% (binary-posweight-lex-small-order 30 #f)
%
%
% **** EMPTY CLAUSE DERIVED ****
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%
% timer checkpoints: c(6,40,0,12,0,0,724,50,75,730,0,75)
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%
% START OF PROOF
% 725 [] equal(X,X).
% 727 [] -equal(multiply(X,U),Z) | -equal(multiply(X,Y),Z) | equal(Y,U).
% 728 [] equal(multiply(multiply(X,Y),multiply(Z,U)),multiply(multiply(X,Z),multiply(Y,U))).
% 729 [] equal(multiply(an_element,an_element),an_element).
% 730 [] -equal(multiply(multiply(a,multiply(d,c)),multiply(multiply(b,e),f)),multiply(multiply(a,multiply(b,c)),multiply(multiply(d,e),f))).
% 753 [para:729.1.1,728.1.1.1] equal(multiply(an_element,multiply(X,Y)),multiply(multiply(an_element,X),multiply(an_element,Y))).
% 759 [para:728.1.1,728.1.1.1] equal(multiply(multiply(multiply(X,Y),multiply(Z,U)),multiply(V,W)),multiply(multiply(multiply(X,Z),V),multiply(multiply(Y,U),W))).
% 767 [para:729.1.1,753.1.2.2] equal(multiply(an_element,multiply(X,an_element)),multiply(multiply(an_element,X),an_element)).
% 772 [para:753.1.2,728.1.1.1] equal(multiply(multiply(an_element,multiply(X,Y)),multiply(Z,U)),multiply(multiply(multiply(an_element,X),Z),multiply(multiply(an_element,Y),U))).
% 782 [para:767.1.2,728.1.1.1] equal(multiply(multiply(an_element,multiply(X,an_element)),multiply(Y,Z)),multiply(multiply(multiply(an_element,X),Y),multiply(an_element,Z))).
% 847 [para:753.1.2,759.1.2.1,demod:772] equal(multiply(multiply(an_element,multiply(X,Y)),multiply(multiply(Z,U),V)),multiply(multiply(an_element,multiply(Z,Y)),multiply(multiply(X,U),V))).
% 921 [para:753.1.2,782.1.2.1,demod:753] equal(multiply(multiply(an_element,multiply(X,an_element)),multiply(multiply(an_element,Y),Z)),multiply(an_element,multiply(multiply(X,Y),Z))).
% 1654 [para:847.1.1,782.1.1.2,demod:753,921] equal(multiply(an_element,multiply(multiply(X,multiply(Y,Z)),multiply(multiply(U,V),W))),multiply(an_element,multiply(multiply(X,multiply(U,Z)),multiply(multiply(Y,V),W)))).
% 7984 [hyper:727,1654,725,slowcut:730] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using hyperresolution
% not using sos strategy
% using positive unit paramodulation strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% clause length limited to 5
% clause depth limited to 5
% seconds given: 30
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 248
% derived clauses: 370048
% kept clauses: 6029
% kept size sum: 235971
% kept mid-nuclei: 1931
% kept new demods: 369
% forw unit-subs: 115624
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 44
% fast unit cutoff: 0
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 9.93
% process. runtime: 9.90
% 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/ALG003-1+eq_r.in")
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