TSTP Solution File: GRP421-1 by Gandalf---c-2.6
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- Process Solution
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% File : Gandalf---c-2.6
% Problem : GRP421-1 : TPTP v3.4.2. Released v2.6.0.
% Transfm : add_equality:r
% Format : otter:hypothesis:set(auto),clear(print_given)
% Command : gandalf-wrapper -time %d %s
% Computer : art01.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/GRP421-1+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
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% detected problem class: ueq
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% strategies selected:
% (binary-posweight-kb-big-order 60 #f 11 1)
% (binary-posweight-lex-big-order 30 #f 11 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 *********
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%
% timer checkpoints: c(3,40,0,6,0,0)
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%
% START OF PROOF
% 5 [] equal(inverse(multiply(inverse(multiply(X,inverse(multiply(inverse(Y),multiply(inverse(Z),inverse(multiply(inverse(Z),Z))))))),multiply(X,Z))),Y).
% 6 [] -equal(multiply(inverse(a1),a1),multiply(inverse(b1),b1)).
% 7 [para:5.1.1,5.1.1.1.1.1.2] equal(inverse(multiply(inverse(multiply(X,Y)),multiply(X,Z))),multiply(inverse(Z),inverse(multiply(inverse(Y),multiply(inverse(inverse(multiply(inverse(Z),Z))),inverse(multiply(inverse(inverse(multiply(inverse(Z),Z))),inverse(multiply(inverse(Z),Z))))))))).
% 8 [para:5.1.1,5.1.1.1.1.1.2.1.1] equal(inverse(multiply(inverse(multiply(X,inverse(multiply(Y,multiply(inverse(Z),inverse(multiply(inverse(Z),Z))))))),multiply(X,Z))),multiply(inverse(multiply(U,inverse(multiply(inverse(Y),multiply(inverse(V),inverse(multiply(inverse(V),V))))))),multiply(U,V))).
% 11 [para:7.1.2,7.1.2] equal(inverse(multiply(inverse(multiply(X,Y)),multiply(X,Z))),inverse(multiply(inverse(multiply(U,Y)),multiply(U,Z)))).
% 13 [para:11.1.1,5.1.1.1.1.1.2.1.1,demod:5] equal(multiply(inverse(multiply(X,Y)),multiply(X,Z)),multiply(inverse(multiply(U,Y)),multiply(U,Z))).
% 20 [para:8.1.1,5.1.1] equal(multiply(inverse(multiply(X,inverse(multiply(inverse(inverse(Y)),multiply(inverse(Z),inverse(multiply(inverse(Z),Z))))))),multiply(X,Z)),Y).
% 30 [para:5.1.1,13.1.1.1] equal(multiply(X,multiply(inverse(multiply(Y,inverse(multiply(inverse(X),multiply(inverse(Z),inverse(multiply(inverse(Z),Z))))))),U)),multiply(inverse(multiply(V,multiply(Y,Z))),multiply(V,U))).
% 895 [para:20.1.1,30.1.1.2] equal(multiply(inverse(X),X),multiply(inverse(multiply(Y,multiply(Z,U))),multiply(Y,multiply(Z,U)))).
% 915 [para:895.1.1,6.1.2,cut:895] 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 11
% seconds given: 60
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 29
% derived clauses: 7622
% kept clauses: 908
% kept size sum: 40790
% kept mid-nuclei: 0
% kept new demods: 58
% forw unit-subs: 3739
% 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 : 0.19
% process. runtime: 0.19
% 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/GRP421-1+eq_r.in")
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