TSTP Solution File: GRP554-1 by Gandalf---c-2.6
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% File : Gandalf---c-2.6
% Problem : GRP554-1 : 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/GRP554-1+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 6 1)
% (binary-posweight-lex-big-order 30 #f 6 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(4,40,1,8,0,1)
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%
% START OF PROOF
% 5 [] equal(X,X).
% 6 [] equal(divide(divide(X,inverse(divide(Y,divide(X,Z)))),Z),Y).
% 7 [] equal(multiply(X,Y),divide(X,inverse(Y))).
% 8 [] -equal(multiply(multiply(inverse(b2),b2),a2),a2).
% 9 [para:6.1.1,7.1.2,demod:7] equal(multiply(multiply(X,divide(Y,multiply(X,Z))),Z),Y).
% 10 [para:7.1.2,6.1.1.1] equal(divide(multiply(X,divide(Y,divide(X,Z))),Z),Y).
% 11 [para:6.1.1,6.1.1.1.2.1,demod:7] equal(divide(multiply(X,Y),Z),multiply(U,divide(Y,divide(U,divide(X,Z))))).
% 12 [para:6.1.1,6.1.1.1.2.1.2,demod:7] equal(divide(multiply(multiply(X,divide(Y,divide(X,Z))),divide(U,Y)),Z),U).
% 13 [para:6.1.1,9.1.1.1.2,demod:7] equal(multiply(multiply(X,Y),Z),multiply(U,divide(Y,divide(U,multiply(X,Z))))).
% 18 [para:11.1.2,10.1.1.1] equal(divide(divide(multiply(X,Y),Z),divide(X,Z)),Y).
% 19 [para:7.1.2,18.1.1.1,demod:7] equal(divide(multiply(multiply(X,Y),Z),multiply(X,Z)),Y).
% 30 [para:19.1.1,18.1.1.1] equal(divide(X,divide(multiply(Y,X),multiply(Y,Z))),Z).
% 34 [para:30.1.1,11.1.2.2.2] equal(divide(multiply(multiply(X,Y),Z),multiply(X,U)),multiply(Y,divide(Z,U))).
% 47 [para:12.1.1,9.1.1.1.2,demod:13] equal(multiply(multiply(X,Y),Z),multiply(multiply(multiply(X,U),Z),divide(Y,U))).
% 50 [para:19.1.1,12.1.1.1.1.2.2,demod:34,47] equal(multiply(X,divide(Y,Y)),X).
% 56 [para:50.1.1,9.1.1,demod:50] equal(multiply(X,divide(Y,X)),Y).
% 58 [para:50.1.1,19.1.1.1,demod:50] equal(divide(multiply(X,Y),X),Y).
% 60 [para:50.1.1,30.1.1.2.2,demod:58] equal(divide(X,X),divide(Y,Y)).
% 66 [para:18.1.1,56.1.1.2] equal(multiply(divide(X,Y),Z),divide(multiply(X,Z),Y)).
% 80 [para:60.1.1,7.1.2] equal(multiply(inverse(X),X),divide(Y,Y)).
% 112 [para:80.1.1,8.1.1.1,demod:58,66,cut:5] 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 6
% seconds given: 60
%
%
% ***GANDALF_FOUND_A_REFUTATION***
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% Global statistics over all passes:
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% given clauses: 22
% derived clauses: 409
% kept clauses: 103
% kept size sum: 1385
% kept mid-nuclei: 0
% kept new demods: 89
% forw unit-subs: 289
% 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 : 0.1
% 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/GRP554-1+eq_r.in")
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