TSTP Solution File: GRP575-1 by Gandalf---c-2.6
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% File : Gandalf---c-2.6
% Problem : GRP575-1 : 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 : art04.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 :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----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/GRP575-1+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: ueq
%
% 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 ****
%
%
% timer checkpoints: c(6,40,0,12,0,0)
%
%
% START OF PROOF
% 8 [] equal(double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),double_divide(Z,identity))),double_divide(identity,identity)),Y).
% 9 [] equal(multiply(X,Y),double_divide(double_divide(Y,X),identity)).
% 10 [] equal(inverse(X),double_divide(X,identity)).
% 11 [] equal(identity,double_divide(X,inverse(X))).
% 12 [] -equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))).
% 13 [para:9.1.2,10.1.2] equal(inverse(double_divide(X,Y)),multiply(Y,X)).
% 14 [para:10.1.2,9.1.2.1,demod:10] equal(multiply(identity,X),inverse(inverse(X))).
% 16 [para:9.1.2,9.1.2.1,demod:10] equal(multiply(identity,double_divide(X,Y)),inverse(multiply(Y,X))).
% 17 [para:14.1.2,11.1.2.2] equal(identity,double_divide(inverse(X),multiply(identity,X))).
% 18 [para:14.1.2,14.1.2.1] equal(multiply(identity,inverse(X)),inverse(multiply(identity,X))).
% 24 [para:18.1.2,17.1.2.1] equal(identity,double_divide(multiply(identity,inverse(X)),multiply(identity,multiply(identity,X)))).
% 25 [para:10.1.2,8.1.1.1.2.1.2,demod:10] equal(double_divide(double_divide(identity,double_divide(double_divide(X,inverse(Y)),inverse(Y))),inverse(identity)),X).
% 26 [para:10.1.2,8.1.1.1.2.2,demod:10] equal(double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),inverse(Z))),inverse(identity)),Y).
% 27 [para:11.1.2,8.1.1.1.2.1.2,demod:10] equal(double_divide(double_divide(inverse(X),double_divide(inverse(Y),inverse(X))),inverse(identity)),Y).
% 28 [para:8.1.1,9.1.2.1,demod:10] equal(multiply(inverse(identity),double_divide(X,double_divide(double_divide(Y,double_divide(Z,X)),inverse(Z)))),inverse(Y)).
% 29 [para:9.1.2,8.1.1.1.2.1.2,demod:10,9] equal(double_divide(double_divide(identity,double_divide(double_divide(X,multiply(Y,Z)),multiply(Y,Z))),inverse(identity)),X).
% 37 [para:11.1.2,27.1.1.1.2,demod:18,10,14] equal(double_divide(multiply(identity,inverse(X)),inverse(identity)),X).
% 43 [para:13.1.1,37.1.1.1.2] equal(double_divide(multiply(identity,multiply(X,Y)),inverse(identity)),double_divide(Y,X)).
% 47 [para:11.1.2,25.1.1.1.2.1] equal(double_divide(double_divide(identity,double_divide(identity,inverse(X))),inverse(identity)),X).
% 52 [para:11.1.2,47.1.1.1.2,demod:10] equal(double_divide(inverse(identity),inverse(identity)),identity).
% 60 [para:52.1.1,25.1.1.1.2.1,demod:52,10,11] equal(identity,inverse(identity)).
% 61 [para:60.1.2,14.1.2.1,demod:60] equal(multiply(identity,identity),identity).
% 62 [para:60.1.2,27.1.1.1.1,demod:9,14,10,60] equal(multiply(multiply(identity,X),identity),X).
% 65 [para:60.1.2,37.1.1.2,demod:14,18,10] equal(multiply(identity,multiply(identity,X)),X).
% 66 [para:60.1.2,43.1.1.2,demod:18,10] equal(multiply(identity,inverse(multiply(X,Y))),double_divide(Y,X)).
% 78 [para:8.1.1,26.1.1.1.2.1,demod:9,10,60] equal(multiply(inverse(X),identity),double_divide(Y,double_divide(double_divide(X,double_divide(Z,Y)),inverse(Z)))).
% 80 [para:26.1.1,16.1.1.2,demod:66,18,78,60] equal(multiply(identity,X),double_divide(identity,inverse(X))).
% 82 [para:24.1.2,26.1.1.1.2.1.2,demod:9,60,14,18,10,65] equal(multiply(double_divide(inverse(X),Y),Y),X).
% 84 [?] ?
% 85 [para:47.1.1,26.1.1.1.2,demod:9,60] equal(multiply(X,inverse(X)),identity).
% 90 [para:85.1.1,43.1.1.1.2,demod:10,60,61] equal(identity,double_divide(inverse(X),X)).
% 96 [para:90.1.2,27.1.1.1.2,demod:18,60,14,10] equal(multiply(identity,inverse(X)),inverse(X)).
% 97 [para:14.1.2,96.1.1.2,demod:14,65] equal(X,multiply(identity,X)).
% 98 [para:97.1.2,16.1.1] equal(double_divide(X,Y),inverse(multiply(Y,X))).
% 99 [para:97.1.2,62.1.1.1] equal(multiply(X,identity),X).
% 102 [para:99.1.1,43.1.1.1.2,demod:10,60,97] equal(inverse(X),double_divide(identity,X)).
% 105 [para:8.1.1,28.1.1.2.2.1.2,demod:13,97,14,96,84,78,10,102,60] equal(multiply(X,double_divide(Y,X)),inverse(Y)).
% 107 [para:90.1.2,28.1.1.2.2.1,demod:13,98,16,97,80,60] equal(double_divide(X,Y),double_divide(Y,X)).
% 109 [para:107.1.1,9.1.2.1,demod:9] equal(multiply(X,Y),multiply(Y,X)).
% 121 [para:109.1.1,12.1.2] -equal(multiply(multiply(a3,b3),c3),multiply(multiply(b3,c3),a3)).
% 124 [para:107.1.1,29.1.1.1.2.1,demod:98,10,60,13,102] equal(double_divide(double_divide(multiply(X,Y),Z),multiply(X,Y)),Z).
% 138 [para:105.1.1,43.1.1.1.2,demod:97,14,10,60,96] equal(X,double_divide(double_divide(X,Y),Y)).
% 166 [para:80.1.2,8.1.1.1.2.1.2,demod:9,60,102,97] equal(multiply(multiply(X,Y),inverse(X)),Y).
% 171 [para:109.1.1,166.1.1.1] equal(multiply(multiply(X,Y),inverse(Y)),X).
% 172 [para:82.1.1,166.1.1.1,demod:13] equal(multiply(X,multiply(Y,inverse(X))),Y).
% 184 [para:109.1.1,121.1.2.1] -equal(multiply(multiply(a3,b3),c3),multiply(multiply(c3,b3),a3)).
% 189 [para:82.1.1,171.1.1.1] equal(multiply(X,inverse(Y)),double_divide(inverse(X),Y)).
% 192 [para:82.1.1,172.1.1.2] equal(multiply(X,Y),double_divide(inverse(Y),inverse(X))).
% 223 [para:13.1.1,189.1.1.2] equal(multiply(X,multiply(Y,Z)),double_divide(inverse(X),double_divide(Z,Y))).
% 228 [para:192.1.2,8.1.1.1.2.1.2,demod:98,60,102,223,97,14,10] equal(double_divide(multiply(X,double_divide(Y,multiply(Z,X))),Z),Y).
% 252 [para:109.1.1,124.1.1.1.1] equal(double_divide(double_divide(multiply(X,Y),Z),multiply(Y,X)),Z).
% 340 [para:138.1.2,228.1.1.1.2] equal(double_divide(multiply(X,Y),Z),double_divide(Y,multiply(Z,X))).
% 411 [para:252.1.1,105.1.1.2,demod:13,340,slowcut:184] 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***
%
% Global statistics over all passes:
%
% given clauses: 162
% derived clauses: 12004
% kept clauses: 397
% kept size sum: 4564
% kept mid-nuclei: 0
% kept new demods: 364
% forw unit-subs: 11596
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 9
% fast unit cutoff: 0
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 0.16
% process. runtime: 0.14
% 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/GRP575-1+eq_r.in")
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