TSTP Solution File: GRP102-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP102-1 : TPTP v3.4.2. Bugfixed v2.7.0.
% Transfm : add_equality:r
% Format : otter:hypothesis:set(auto),clear(print_given)
% Command : gandalf-wrapper -time %d %s
% Computer : art09.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/GRP102-1+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: peq
%
% strategies selected:
% (hyper 30 #f 6 7)
% (binary-unit 12 #f)
% (binary-unit-uniteq 12 #f)
% (binary-posweight-kb-big-order 60 #f 6 7)
% (binary-posweight-lex-big-order 30 #f 6 7)
% (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)
%
%
% SOS clause
% -equal(multiply(inverse(a1),a1),identity) | -equal(multiply(identity,a2),a2) | -equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) | -equal(multiply(a4,b4),multiply(b4,a4)).
% was split for some strategies as:
% -equal(multiply(inverse(a1),a1),identity).
% -equal(multiply(identity,a2),a2).
% -equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))).
% -equal(multiply(a4,b4),multiply(b4,a4)).
%
% ********* EMPTY CLAUSE DERIVED *********
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(6,40,1,12,0,1,1713,4,767)
%
%
% START OF PROOF
% 7 [] equal(X,X).
% 8 [] equal(double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity))),double_divide(identity,identity)),Z).
% 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))) | -equal(multiply(inverse(a1),a1),identity) | -equal(multiply(a4,b4),multiply(b4,a4)) | -equal(multiply(identity,a2),a2).
% 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))).
% 15 [para:11.1.2,9.1.2.1,demod:10] equal(multiply(inverse(X),X),inverse(identity)).
% 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))).
% 23 [para:14.1.2,17.1.2.1] equal(identity,double_divide(multiply(identity,X),multiply(identity,inverse(X)))).
% 26 [para:10.1.2,8.1.1.1.2.1,demod:10,13] equal(double_divide(double_divide(X,double_divide(multiply(X,Y),inverse(Y))),inverse(identity)),identity).
% 28 [para:10.1.2,8.1.1.1.2.2,demod:10] equal(double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),inverse(Y))),inverse(identity)),Z).
% 29 [para:11.1.2,8.1.1.1.2.1,demod:13,10] equal(double_divide(double_divide(X,double_divide(identity,inverse(Y))),inverse(identity)),multiply(X,Y)).
% 30 [para:11.1.2,8.1.1.1.2.1.1,demod:10] equal(double_divide(double_divide(inverse(X),double_divide(double_divide(identity,Y),inverse(X))),inverse(identity)),Y).
% 32 [para:9.1.2,8.1.1.1.2.1.1,demod:10,9] equal(double_divide(double_divide(identity,double_divide(double_divide(multiply(X,Y),Z),multiply(X,Y))),inverse(identity)),Z).
% 35 [para:8.1.1,8.1.1.1.2,demod:10] equal(double_divide(double_divide(X,Y),inverse(identity)),double_divide(double_divide(double_divide(Z,double_divide(identity,X)),Y),inverse(Z))).
% 44 [para:13.1.1,26.1.1.1.2.2] equal(double_divide(double_divide(X,double_divide(multiply(X,double_divide(Y,Z)),multiply(Z,Y))),inverse(identity)),identity).
% 46 [para:26.1.1,8.1.1.1.2.1,demod:29,10] equal(multiply(double_divide(multiply(X,Y),inverse(Y)),X),inverse(identity)).
% 51 [para:15.1.1,46.1.1.1.1] equal(multiply(double_divide(inverse(identity),inverse(X)),inverse(X)),inverse(identity)).
% 59 [para:11.1.2,51.1.1.1,demod:14] equal(multiply(identity,multiply(identity,identity)),inverse(identity)).
% 63 [para:59.1.1,17.1.2.2,demod:18] equal(identity,double_divide(multiply(identity,inverse(identity)),inverse(identity))).
% 74 [para:11.1.2,29.1.1.1.2,demod:10] equal(double_divide(inverse(X),inverse(identity)),multiply(X,identity)).
% 80 [para:74.1.1,9.1.2.1,demod:10] equal(multiply(inverse(identity),inverse(X)),inverse(multiply(X,identity))).
% 81 [para:14.1.2,74.1.1.1] equal(double_divide(multiply(identity,X),inverse(identity)),multiply(inverse(X),identity)).
% 82 [para:13.1.1,74.1.1.1] equal(double_divide(multiply(X,Y),inverse(identity)),multiply(double_divide(Y,X),identity)).
% 92 [para:59.1.1,81.1.1.1,demod:18,74] equal(multiply(identity,identity),multiply(multiply(identity,inverse(identity)),identity)).
% 93 [para:81.1.1,63.1.2,demod:14] equal(identity,multiply(multiply(identity,identity),identity)).
% 103 [para:93.1.2,82.1.1.1,demod:11] equal(identity,multiply(double_divide(identity,multiply(identity,identity)),identity)).
% 105 [para:11.1.2,30.1.1.1.2,demod:74,10,13] equal(multiply(multiply(X,identity),identity),X).
% 116 [para:92.1.2,105.1.1.1,demod:93] equal(identity,multiply(identity,inverse(identity))).
% 118 [para:116.1.2,46.1.1.1.1,demod:103,14] equal(identity,inverse(identity)).
% 123 [para:118.1.2,29.1.1.1.2.2,demod:14,118,10] equal(multiply(identity,X),multiply(X,identity)).
% 127 [para:118.1.2,80.1.1.1] equal(multiply(identity,inverse(X)),inverse(multiply(X,identity))).
% 128 [para:118.1.2,82.1.1.2,demod:10] equal(inverse(multiply(X,Y)),multiply(double_divide(Y,X),identity)).
% 143 [para:23.1.2,32.1.1.1.2.1,demod:18,127,128,9,118] equal(multiply(identity,multiply(identity,inverse(X))),multiply(identity,inverse(X))).
% 148 [para:105.1.1,32.1.1.1.2.1.1,demod:128,9,118,105] equal(inverse(multiply(X,double_divide(X,Y))),Y).
% 170 [para:123.1.2,105.1.1] equal(multiply(identity,multiply(X,identity)),X).
% 175 [para:170.1.1,18.1.2.1,demod:143,127] equal(multiply(identity,inverse(X)),inverse(X)).
% 178 [para:123.1.2,170.1.1.2] equal(multiply(identity,multiply(identity,X)),X).
% 182 [para:14.1.2,175.1.1.2,demod:14,178] equal(X,multiply(identity,X)).
% 183 [para:175.1.1,23.1.2.1,demod:182,14] equal(identity,double_divide(inverse(X),X)).
% 185 [para:182.1.2,16.1.1] equal(double_divide(X,Y),inverse(multiply(Y,X))).
% 186 [para:182.1.2,32.1.1.1.2.1.1,demod:185,128,9,118,182] equal(double_divide(double_divide(X,Y),X),Y).
% 191 [para:11.1.2,186.1.1.1] equal(double_divide(identity,X),inverse(X)).
% 192 [para:186.1.1,9.1.2.1,demod:10] equal(multiply(X,double_divide(X,Y)),inverse(Y)).
% 193 [para:186.1.1,8.1.1.1.2.1,demod:9,118,191,10] equal(multiply(double_divide(X,inverse(Y)),X),Y).
% 194 [para:186.1.1,8.1.1.1.2.1.1,demod:118,191,9] equal(multiply(double_divide(double_divide(X,Y),multiply(X,Z)),Z),Y).
% 200 [para:186.1.1,186.1.1.1] equal(double_divide(X,double_divide(Y,X)),Y).
% 201 [para:191.1.1,8.1.1.1.2.1.1,demod:9,118,191] equal(multiply(multiply(X,inverse(Y)),Y),X).
% 202 [para:191.1.1,29.1.1.1.2,demod:9,118,182,14] equal(multiply(X,Y),multiply(Y,X)).
% 204 [para:200.1.1,9.1.2.1,demod:10] equal(multiply(double_divide(X,Y),Y),inverse(X)).
% 205 [para:200.1.1,8.1.1.1.2.1,demod:9,118,191,10] equal(multiply(double_divide(X,inverse(Y)),Z),double_divide(X,double_divide(Y,Z))).
% 208 [para:29.1.1,200.1.1.2,demod:182,14,185,191,118] equal(double_divide(X,Y),double_divide(Y,X)).
% 214 [para:202.1.1,32.1.1.1.2.1.1,demod:185,10,118,13,191] equal(double_divide(double_divide(multiply(X,Y),Z),multiply(Y,X)),Z).
% 219 [para:208.1.1,8.1.1.1.2.1.1,demod:205,9,118,191,10] equal(double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,X)),Z).
% 223 [para:208.1.1,186.1.1] equal(double_divide(X,double_divide(X,Y)),Y).
% 224 [para:208.1.1,186.1.1.1] equal(double_divide(double_divide(X,Y),Y),X).
% 226 [para:224.1.1,8.1.1.1.2.1.1,demod:118,191,9] equal(multiply(double_divide(double_divide(X,Y),multiply(Z,X)),Z),Y).
% 228 [para:11.1.2,35.1.2.1,demod:182,14,9,118,13,191] equal(multiply(multiply(inverse(X),Y),X),Y).
% 235 [para:29.1.1,35.1.2.1,demod:182,14,10,118] equal(inverse(X),double_divide(multiply(Y,X),inverse(Y))).
% 236 [para:35.1.2,28.1.1.1.2,demod:9,118,191] equal(multiply(multiply(X,Y),inverse(Y)),X).
% 237 [para:183.1.2,35.1.2.1.1,demod:182,14,191,9,118] equal(multiply(X,Y),double_divide(inverse(X),inverse(Y))).
% 240 [para:35.1.2,200.1.1.2,demod:191,9,118] equal(double_divide(inverse(X),multiply(Y,Z)),double_divide(double_divide(X,inverse(Z)),Y)).
% 246 [para:35.1.2,224.1.1,demod:191,9,118] equal(multiply(inverse(X),Y),double_divide(X,inverse(Y))).
% 261 [para:148.1.1,29.1.1.1.2.2,demod:192,246,9,118,191] equal(double_divide(X,inverse(Y)),multiply(Y,inverse(X))).
% 262 [para:148.1.1,35.1.2.2,demod:237,191,192,9,118] equal(multiply(X,Y),double_divide(double_divide(multiply(Z,Y),X),Z)).
% 266 [para:13.1.1,201.1.1.1.2] equal(multiply(multiply(X,multiply(Y,Z)),double_divide(Z,Y)),X).
% 267 [para:185.1.2,201.1.1.1.2] equal(multiply(multiply(X,double_divide(Y,Z)),multiply(Z,Y)),X).
% 268 [para:13.1.1,228.1.1.1.1] equal(multiply(multiply(multiply(X,Y),Z),double_divide(Y,X)),Z).
% 272 [para:236.1.1,185.1.2.1] equal(double_divide(inverse(X),multiply(Y,X)),inverse(Y)).
% 279 [para:13.1.1,237.1.2.2] equal(multiply(X,double_divide(Y,Z)),double_divide(inverse(X),multiply(Z,Y))).
% 281 [para:185.1.2,237.1.2.2] equal(multiply(X,multiply(Y,Z)),double_divide(inverse(X),double_divide(Z,Y))).
% 315 [para:200.1.1,194.1.1.1.1] equal(multiply(double_divide(X,multiply(Y,Z)),Z),double_divide(X,Y)).
% 336 [para:214.1.1,204.1.1.1,demod:13] equal(multiply(X,multiply(Y,Z)),multiply(X,multiply(Z,Y))).
% 348 [para:223.1.1,219.1.1.1] equal(double_divide(X,double_divide(Y,Z)),double_divide(double_divide(Z,Y),X)).
% 349 [para:219.1.1,35.1.2.1,demod:279,13,191,9,118] equal(multiply(double_divide(X,Y),Z),multiply(Z,double_divide(Y,X))).
% 361 [para:186.1.1,226.1.1.1.1] equal(multiply(double_divide(X,multiply(Y,double_divide(Z,X))),Y),Z).
% 367 [para:226.1.1,236.1.1.1,demod:261] equal(double_divide(X,inverse(Y)),double_divide(double_divide(Z,Y),multiply(X,Z))).
% 371 [para:262.1.2,9.1.2.1,demod:185,10] equal(multiply(X,double_divide(multiply(X,Y),Z)),double_divide(Y,Z)).
% 376 [para:262.1.2,200.1.1.2] equal(double_divide(X,multiply(Y,Z)),double_divide(multiply(X,Z),Y)).
% 378 [para:208.1.1,262.1.2.1] equal(multiply(X,Y),double_divide(double_divide(X,multiply(Z,Y)),Z)).
% 380 [para:262.1.2,35.1.2.1.1,demod:185,279,240,246,191,376,9,118] equal(multiply(X,Y),double_divide(double_divide(Z,multiply(X,U)),double_divide(double_divide(U,Z),Y))).
% 386 [para:266.1.1,235.1.2.1,demod:376,185,13] equal(multiply(X,Y),double_divide(Z,double_divide(X,multiply(Z,Y)))).
% 409 [para:266.1.1,268.1.1.1,demod:376] equal(multiply(X,double_divide(Y,multiply(X,Z))),double_divide(Z,Y)).
% 486 [para:315.1.1,202.1.1] equal(double_divide(X,Y),multiply(Z,double_divide(X,multiply(Y,Z)))).
% 487 [para:193.1.1,315.1.1.1.2] equal(multiply(double_divide(X,Y),Z),double_divide(X,double_divide(Z,inverse(Y)))).
% 489 [para:315.1.1,272.1.1.2,demod:13,281] equal(multiply(X,multiply(Y,Z)),multiply(multiply(Y,X),Z)).
% 491 [para:315.1.1,44.1.1.1.2.1,demod:9,118] equal(multiply(double_divide(double_divide(X,Y),multiply(Z,U)),double_divide(X,multiply(Y,double_divide(U,Z)))),identity).
% 498 [para:315.1.1,266.1.1.1] equal(multiply(double_divide(X,Y),double_divide(Z,U)),double_divide(X,multiply(Y,multiply(U,Z)))).
% 659 [para:361.1.1,267.1.1.1,demod:498] equal(multiply(X,multiply(Y,Z)),double_divide(U,double_divide(Z,multiply(Y,multiply(U,X))))).
% 666 [para:371.1.1,262.1.2.1.1,demod:376] equal(multiply(X,double_divide(Y,multiply(Z,U))),double_divide(double_divide(double_divide(U,Z),X),Y)).
% 682 [para:376.1.2,349.1.1.1,demod:666] equal(multiply(double_divide(X,multiply(Y,Z)),U),double_divide(double_divide(double_divide(Z,X),U),Y)).
% 726 [para:409.1.1,386.1.2.2.2,demod:666] equal(double_divide(double_divide(double_divide(X,Y),Z),U),double_divide(Y,double_divide(Z,double_divide(X,U)))).
% 766 [para:486.1.2,378.1.2.1.2,demod:726,666] equal(double_divide(X,double_divide(Y,double_divide(Z,U))),double_divide(double_divide(Y,double_divide(U,X)),Z)).
% 855 [para:348.1.2,380.1.2.1,demod:766,376] equal(multiply(X,Y),double_divide(double_divide(X,multiply(double_divide(Z,U),V)),double_divide(Z,double_divide(V,double_divide(Y,U))))).
% 1026 [para:491.1.1,486.1.2.2.2,demod:487,726,682,10] equal(double_divide(X,double_divide(double_divide(Y,Z),multiply(U,V))),double_divide(double_divide(U,multiply(double_divide(Y,X),V)),Z)).
% 1714 [input:12,cut:202] -equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) | -equal(multiply(inverse(a1),a1),identity) | -equal(multiply(identity,a2),a2).
% 1715 [para:855.1.1,1714.1.2,demod:182,11,246,659,13,367,223,1026,376,489,cut:336,cut:7,cut:7] 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 7
% clause depth limited to 6
% seconds given: 10
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 538
% derived clauses: 290383
% kept clauses: 1698
% kept size sum: 28739
% kept mid-nuclei: 2
% kept new demods: 708
% forw unit-subs: 288594
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 17
% fast unit cutoff: 5
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 7.96
% process. runtime: 7.67
% 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/GRP102-1+eq_r.in")
%
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