TSTP Solution File: GRP402-1 by Gandalf---c-2.6
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% File : Gandalf---c-2.6
% Problem : GRP402-1 : 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 : 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 19.5s
% Output : Assurance 19.5s
% 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
%
% Gandalf c-2.6 r1 starting to prove: /home/graph/tptp/TSTP/PreparedTPTP/otter:hypothesis:set(auto),clear(print_given)---add_equality:r/GRP/GRP402-1+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 *********
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%
% timer checkpoints: c(7,40,0,14,0,0,5172,4,2251)
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%
% START OF PROOF
% 8 [] equal(X,X).
% 9 [] equal(multiply(multiply(X,Y),Z),multiply(X,multiply(Y,Z))).
% 10 [] -equal(multiply(X,Y),multiply(Z,Y)) | equal(X,Z).
% 12 [] equal(multiply(X,Y),multiply(Y,multiply(X,commutator(X,Y)))).
% 13 [] equal(multiply(commutator(X,Y),Z),multiply(Z,commutator(X,Y))).
% 14 [] -equal(commutator(commutator(a,b),c),commutator(a,commutator(b,c))).
% 19 [para:13.1.2,9.1.1] equal(multiply(commutator(X,Y),multiply(Z,U)),multiply(Z,multiply(U,commutator(X,Y)))).
% 20 [para:13.1.1,9.1.1.1,demod:9] equal(multiply(X,multiply(commutator(Y,Z),U)),multiply(commutator(Y,Z),multiply(X,U))).
% 34 [para:19.1.2,12.1.2] equal(multiply(X,Y),multiply(commutator(X,Y),multiply(Y,X))).
% 57 [para:34.1.2,9.1.1.1,demod:9] equal(multiply(X,multiply(Y,Z)),multiply(commutator(X,Y),multiply(Y,multiply(X,Z)))).
% 60 [para:34.1.2,20.1.1.2] equal(multiply(X,multiply(Y,Z)),multiply(commutator(Y,Z),multiply(X,multiply(Z,Y)))).
% 71 [para:34.1.2,57.1.2.2.2,demod:60] equal(multiply(X,multiply(Y,Z)),multiply(commutator(commutator(Y,Z),X),multiply(X,multiply(Y,Z)))).
% 84 [para:60.1.2,57.1.2.2,demod:34] equal(multiply(X,multiply(Y,Z)),multiply(commutator(X,commutator(Y,Z)),multiply(X,multiply(Y,Z)))).
% 134 [para:84.1.2,60.1.2.2,demod:34,9] equal(multiply(commutator(X,commutator(Y,Z)),multiply(Y,multiply(Z,X))),multiply(Y,multiply(Z,X))).
% 149 [para:134.1.1,60.1.2.2,demod:34,9] equal(multiply(commutator(X,commutator(Y,Z)),multiply(Z,multiply(X,Y))),multiply(Z,multiply(X,Y))).
% 5174 [binary:10.2,14] -equal(multiply(commutator(commutator(a,b),c),X),multiply(commutator(a,commutator(b,c)),X)).
% 5184 [para:149.1.1,5174.1.2,demod:71,cut:8] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% not using sos strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% clause length limited to 3
% clause depth limited to 4
% seconds given: 30
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 654
% derived clauses: 1257804
% kept clauses: 5167
% kept size sum: 115547
% kept mid-nuclei: 0
% kept new demods: 339
% forw unit-subs: 403086
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 121
% fast unit cutoff: 1
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 23.5
% process. runtime: 22.60
% 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/GRP402-1+eq_r.in")
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