TSTP Solution File: GRP515-1 by Gandalf---c-2.6
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% File : Gandalf---c-2.6
% Problem : GRP515-1 : 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 : art07.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/GRP515-1+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 5 1)
% (binary-posweight-lex-big-order 30 #f 5 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(3,40,1,6,0,1,6,50,1,9,0,1,9,50,1,12,0,1)
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%
% START OF PROOF
% 11 [] equal(multiply(X,multiply(multiply(Y,Z),inverse(multiply(X,Z)))),Y).
% 12 [] -equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))).
% 13 [para:11.1.1,11.1.1.2.2.1] equal(multiply(X,multiply(multiply(Y,multiply(multiply(Z,U),inverse(multiply(X,U)))),inverse(Z))),Y).
% 14 [para:11.1.1,13.1.1.2.1] equal(multiply(X,multiply(Y,inverse(Y))),X).
% 15 [para:14.1.1,11.1.1.2.1,demod:14] equal(multiply(X,multiply(Y,inverse(X))),Y).
% 16 [para:14.1.1,13.1.1.2.1.2.1,demod:14] equal(multiply(X,multiply(multiply(Y,multiply(Z,inverse(X))),inverse(Z))),Y).
% 18 [para:15.1.1,13.1.1.2.1] equal(multiply(X,multiply(multiply(Y,Z),inverse(Y))),multiply(X,Z)).
% 21 [para:11.1.1,16.1.1.2.1] equal(multiply(multiply(X,Y),multiply(Z,inverse(multiply(Z,Y)))),X).
% 25 [para:21.1.1,13.1.1.2.1] equal(multiply(multiply(X,Y),multiply(Z,inverse(X))),multiply(Z,Y)).
% 27 [para:21.1.1,21.1.1.2.2.1,demod:18] equal(multiply(multiply(X,multiply(Y,inverse(multiply(Y,Z)))),Z),X).
% 32 [para:25.1.1,18.1.1] equal(multiply(multiply(X,Y),Z),multiply(multiply(X,Z),Y)).
% 57 [para:27.1.1,15.1.1.2] equal(multiply(X,Y),multiply(Y,multiply(Z,inverse(multiply(Z,inverse(X)))))).
% 58 [para:27.1.1,18.1.1.2,demod:57] equal(multiply(X,Y),multiply(Y,X)).
% 60 [para:58.1.1,12.1.1] -equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))).
% 88 [para:58.1.1,32.1.1] equal(multiply(X,multiply(Y,Z)),multiply(multiply(Y,X),Z)).
% 91 [para:58.1.1,32.1.2.1,demod:88,slowcut:60] 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 7
% seconds given: 60
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 21
% derived clauses: 429
% kept clauses: 77
% kept size sum: 1043
% kept mid-nuclei: 0
% kept new demods: 67
% forw unit-subs: 307
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 0
% fast unit cutoff: 0
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 0.1
% process. runtime: 0.1
% 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/GRP515-1+eq_r.in")
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