TSTP Solution File: GRP401-1 by Gandalf---c-2.6
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% File : Gandalf---c-2.6
% Problem : GRP401-1 : TPTP v3.4.2. Released v2.5.0.
% 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 30.0s
% Output : Assurance 30.0s
% 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/GRP401-1+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: peq
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% strategies selected:
% (hyper 30 #f 4 3)
% (binary-unit 12 #f)
% (binary-unit-uniteq 12 #f)
% (binary-posweight-kb-big-order 60 #f 4 3)
% (binary-posweight-lex-big-order 30 #f 4 3)
% (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 *********
%
%
% timer checkpoints: c(7,40,1,14,0,1,819,4,2253,829,50,2255,829,40,2255,836,0,2255,22945,3,2860,23862,4,3156)
%
%
% START OF PROOF
% 830 [] equal(X,X).
% 831 [] equal(multiply(multiply(X,Y),Z),multiply(X,multiply(Y,Z))).
% 832 [] -equal(multiply(X,Y),multiply(Z,Y)) | equal(X,Z).
% 833 [] -equal(multiply(X,Y),multiply(X,Z)) | equal(Y,Z).
% 834 [] equal(multiply(X,Y),multiply(Y,multiply(X,commutator(X,Y)))).
% 835 [] equal(commutator(multiply(X,Y),Z),multiply(commutator(X,Z),commutator(Y,Z))).
% 836 [] -equal(multiply(commutator(a,b),c),multiply(c,commutator(a,b))).
% 844 [para:834.1.2,833.1.1] equal(multiply(X,commutator(X,Y)),Z) | -equal(multiply(X,Y),multiply(Y,Z)).
% 848 [para:834.1.2,831.1.1.1,demod:831] equal(multiply(X,multiply(Y,Z)),multiply(Y,multiply(X,multiply(commutator(X,Y),Z)))).
% 850 [binary:832.2,836,demod:831] -equal(multiply(commutator(a,b),multiply(c,X)),multiply(c,multiply(commutator(a,b),X))).
% 873 [binary:833.2,850] -equal(multiply(X,multiply(commutator(a,b),multiply(c,Y))),multiply(X,multiply(c,multiply(commutator(a,b),Y)))).
% 1170 [para:844.1.1,831.1.1,demod:831] equal(X,multiply(Y,multiply(Z,commutator(multiply(Y,Z),U)))) | -equal(multiply(Y,multiply(Z,U)),multiply(U,X)).
% 2066 [para:835.1.2,873.1.2.2.2] -equal(multiply(X,multiply(commutator(a,b),multiply(c,commutator(Y,b)))),multiply(X,multiply(c,commutator(multiply(a,Y),b)))).
% 27868 [binary:2066,1170,demod:834,848,cut:830] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% not using sos strategy
% using unit paramodulation strategy
% using unit strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% using clause demodulation
% seconds given: 12
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 1709
% derived clauses: 1100167
% kept clauses: 23070
% kept size sum: 433414
% kept mid-nuclei: 4005
% kept new demods: 408
% forw unit-subs: 309949
% forw double-subs: 24826
% forw overdouble-subs: 0
% backward subs: 205
% fast unit cutoff: 47
% full unit cutoff: 0
% dbl unit cutoff: 1
% real runtime : 33.27
% process. runtime: 33.25
% 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/GRP401-1+eq_r.in")
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