TSTP Solution File: GRP110-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP110-1 : 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/GRP110-1+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 7 7)
% (binary-unit 12 #f)
% (binary-unit-uniteq 12 #f)
% (binary-posweight-kb-big-order 60 #f 7 7)
% (binary-posweight-lex-big-order 30 #f 7 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),multiply(inverse(b1),b1)) | -equal(multiply(multiply(inverse(b2),b2),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),multiply(inverse(b1),b1)).
% -equal(multiply(multiply(inverse(b2),b2),a2),a2).
% -equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))).
% -equal(multiply(a4,b4),multiply(b4,a4)).
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(4,40,0,8,0,0,2236,4,758)
%
%
% START OF PROOF
% 5 [] equal(X,X).
% 6 [] equal(inverse(double_divide(inverse(double_divide(inverse(double_divide(X,Y)),Z)),double_divide(X,Z))),Y).
% 7 [] equal(multiply(X,Y),inverse(double_divide(Y,X))).
% 8 [] -equal(multiply(multiply(inverse(b2),b2),a2),a2) | -equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) | -equal(multiply(inverse(a1),a1),multiply(inverse(b1),b1)) | -equal(multiply(a4,b4),multiply(b4,a4)).
% 9 [para:6.1.1,7.1.2,demod:7] equal(multiply(double_divide(X,Y),multiply(Y,multiply(Z,X))),Z).
% 10 [para:6.1.1,6.1.1.1.1,demod:7] equal(multiply(double_divide(multiply(X,Y),double_divide(Y,Z)),X),Z).
% 11 [para:6.1.1,6.1.1.1.1.1.1,demod:7] equal(multiply(double_divide(multiply(X,multiply(Y,Z)),U),multiply(U,Y)),double_divide(Z,X)).
% 12 [para:10.1.1,9.1.1.2] equal(multiply(double_divide(X,double_divide(multiply(multiply(Y,X),Z),double_divide(Z,U))),U),Y).
% 13 [para:10.1.1,9.1.1.2.2] equal(multiply(double_divide(X,Y),multiply(Y,Z)),double_divide(multiply(X,U),double_divide(U,Z))).
% 14 [para:9.1.1,10.1.1.1.1] equal(multiply(double_divide(X,double_divide(multiply(Y,multiply(X,Z)),U)),double_divide(Z,Y)),U).
% 15 [para:10.1.1,10.1.1.1.1] equal(multiply(double_divide(X,double_divide(Y,Z)),double_divide(multiply(Y,U),double_divide(U,X))),Z).
% 17 [para:11.1.1,9.1.1.2.2] equal(multiply(double_divide(multiply(X,Y),Z),multiply(Z,double_divide(U,V))),double_divide(multiply(V,multiply(Y,U)),X)).
% 18 [para:9.1.1,11.1.1.2] equal(multiply(double_divide(multiply(X,multiply(multiply(Y,multiply(Z,U)),V)),double_divide(U,Y)),Z),double_divide(V,X)).
% 19 [para:11.1.1,10.1.1] equal(double_divide(X,multiply(double_divide(multiply(Y,X),Z),Y)),Z).
% 20 [para:11.1.1,10.1.1.1.1] equal(multiply(double_divide(double_divide(X,Y),double_divide(multiply(Z,U),V)),double_divide(multiply(Y,multiply(U,X)),Z)),V).
% 21 [para:10.1.1,11.1.1.1.1] equal(multiply(double_divide(X,Y),multiply(Y,Z)),double_divide(U,double_divide(multiply(multiply(Z,U),V),double_divide(V,X)))).
% 23 [para:11.1.1,11.1.1.1.1] equal(multiply(double_divide(double_divide(X,Y),Z),multiply(Z,U)),double_divide(V,double_divide(multiply(Y,multiply(V,X)),U))).
% 25 [para:19.1.1,7.1.2.1] equal(multiply(multiply(double_divide(multiply(X,Y),Z),X),Y),inverse(Z)).
% 32 [para:11.1.1,19.1.1.2] equal(double_divide(multiply(X,Y),double_divide(Y,multiply(Z,X))),Z).
% 34 [para:19.1.1,19.1.1.2.1] equal(double_divide(X,multiply(Y,Z)),multiply(double_divide(multiply(U,multiply(Z,X)),Y),U)).
% 35 [para:32.1.1,7.1.2.1] equal(multiply(double_divide(X,multiply(Y,Z)),multiply(Z,X)),inverse(Y)).
% 42 [para:32.1.1,11.1.1.1] equal(multiply(X,multiply(double_divide(multiply(Y,Z),multiply(X,U)),Y)),double_divide(Z,U)).
% 45 [para:25.1.1,9.1.1.2,demod:34] equal(multiply(double_divide(X,double_divide(X,multiply(Y,Z))),inverse(Y)),Z).
% 91 [para:9.1.1,45.1.1.1.2.2,demod:7] equal(multiply(double_divide(X,double_divide(X,Y)),multiply(Z,U)),multiply(Z,multiply(Y,U))).
% 94 [para:45.1.1,19.1.1.2] equal(double_divide(X,Y),double_divide(multiply(inverse(Z),X),multiply(Z,Y))).
% 102 [para:35.1.1,45.1.1.1.2.2,demod:91,7] equal(multiply(multiply(X,Y),multiply(inverse(X),Z)),multiply(Y,Z)).
% 109 [para:94.1.2,10.1.1.1.2,demod:34] equal(double_divide(X,multiply(double_divide(X,Y),inverse(Z))),multiply(Z,Y)).
% 118 [para:9.1.1,102.1.1.1,demod:7] equal(multiply(X,multiply(multiply(Y,Z),U)),multiply(multiply(Y,multiply(X,Z)),U)).
% 138 [para:7.1.2,109.1.1.2.2] equal(double_divide(X,multiply(double_divide(X,Y),multiply(Z,U))),multiply(double_divide(U,Z),Y)).
% 144 [para:10.1.1,109.1.1.2] equal(double_divide(multiply(inverse(X),Y),Z),multiply(X,double_divide(Y,Z))).
% 148 [para:109.1.1,32.1.1.2,demod:144] equal(multiply(X,double_divide(Y,multiply(X,Z))),double_divide(Y,Z)).
% 152 [para:94.1.2,109.1.1.2.1,demod:109,144] equal(multiply(X,multiply(Y,Z)),multiply(Y,multiply(X,Z))).
% 155 [para:9.1.1,148.1.1.2.2] equal(multiply(double_divide(X,Y),double_divide(Z,U)),double_divide(Z,multiply(Y,multiply(U,X)))).
% 159 [para:19.1.1,148.1.1.2] equal(multiply(double_divide(multiply(X,Y),Z),Z),double_divide(Y,X)).
% 169 [para:148.1.1,94.1.2.2,demod:144] equal(double_divide(X,double_divide(Y,multiply(Z,U))),multiply(Z,double_divide(X,double_divide(Y,U)))).
% 173 [para:109.1.1,148.1.1.2] equal(multiply(double_divide(X,Y),multiply(Z,Y)),double_divide(X,inverse(Z))).
% 214 [para:148.1.1,13.1.1.2,demod:155] equal(double_divide(X,multiply(Y,multiply(Z,U))),double_divide(multiply(U,V),double_divide(V,double_divide(X,multiply(Y,Z))))).
% 261 [para:159.1.1,9.1.1.2.2] equal(multiply(double_divide(X,Y),multiply(Y,double_divide(Z,U))),double_divide(multiply(U,Z),X)).
% 263 [para:159.1.1,10.1.1] equal(double_divide(X,double_divide(X,Y)),Y).
% 272 [para:159.1.1,25.1.1.1] equal(multiply(double_divide(X,Y),X),inverse(Y)).
% 274 [para:25.1.1,159.1.1.1.1,demod:19] equal(multiply(double_divide(inverse(X),Y),Y),X).
% 275 [para:159.1.1,35.1.1] equal(double_divide(X,Y),inverse(multiply(Y,X))).
% 291 [para:159.1.1,152.1.1.2,demod:173] equal(multiply(X,double_divide(Y,Z)),double_divide(multiply(Z,Y),inverse(X))).
% 296 [para:263.1.1,10.1.1.1.2] equal(multiply(double_divide(multiply(X,Y),Z),X),double_divide(Y,Z)).
% 297 [para:263.1.1,19.1.1.2.1] equal(double_divide(X,multiply(Y,Z)),double_divide(multiply(Z,X),Y)).
% 298 [para:19.1.1,263.1.1.2,demod:297] equal(double_divide(X,Y),multiply(double_divide(X,multiply(Y,Z)),Z)).
% 299 [para:263.1.1,45.1.1.1] equal(multiply(multiply(X,Y),inverse(X)),Y).
% 301 [para:109.1.1,263.1.1.2] equal(double_divide(X,multiply(Y,Z)),multiply(double_divide(X,Z),inverse(Y))).
% 304 [para:272.1.1,10.1.1.1.1,demod:138,155] equal(multiply(double_divide(inverse(X),X),Y),Y).
% 310 [para:32.1.1,272.1.1.1,demod:7] equal(multiply(X,multiply(Y,Z)),multiply(multiply(X,Y),Z)).
% 313 [para:272.1.1,12.1.1,demod:263,173,297,310] equal(inverse(inverse(X)),X).
% 315 [para:272.1.1,109.1.1.2] equal(double_divide(inverse(X),inverse(Y)),multiply(X,Y)).
% 318 [para:272.1.1,13.1.2.1] equal(multiply(double_divide(double_divide(X,Y),Z),multiply(Z,U)),double_divide(inverse(Y),double_divide(X,U))).
% 320 [para:272.1.1,152.1.1,demod:275,272,297] equal(inverse(X),multiply(Y,double_divide(Y,X))).
% 321 [para:272.1.1,152.1.1.2] equal(multiply(X,inverse(Y)),multiply(double_divide(Z,Y),multiply(X,Z))).
% 322 [para:6.1.1,313.1.1.1,demod:138,310,297,7] equal(inverse(X),multiply(double_divide(X,Y),Y)).
% 325 [para:313.1.1,109.1.1.2.2] equal(double_divide(X,multiply(double_divide(X,Y),Z)),multiply(inverse(Z),Y)).
% 326 [para:14.1.1,9.1.1.2.2,demod:310,297,318] equal(double_divide(inverse(X),double_divide(Y,Z)),double_divide(U,double_divide(Y,multiply(Z,multiply(X,U))))).
% 359 [para:7.1.2,274.1.1.1.1,demod:297] equal(multiply(double_divide(X,multiply(Y,Z)),Y),double_divide(X,Z)).
% 360 [para:274.1.1,9.1.1.2.2] equal(multiply(double_divide(X,Y),multiply(Y,Z)),double_divide(inverse(Z),X)).
% 365 [para:19.1.1,274.1.1.1,demod:298,297] equal(multiply(X,double_divide(inverse(Y),X)),Y).
% 367 [para:274.1.1,32.1.1.2.2,demod:325,297] equal(multiply(inverse(X),Y),double_divide(inverse(Y),X)).
% 371 [para:274.1.1,94.1.2.2,demod:297,367,310,7] equal(double_divide(X,Y),double_divide(double_divide(inverse(X),Z),multiply(Z,Y))).
% 375 [para:274.1.1,152.1.1.2,demod:315,173] equal(multiply(X,Y),multiply(Y,X)).
% 376 [para:274.1.1,159.1.1.1.1,demod:322] equal(inverse(X),double_divide(Y,double_divide(inverse(X),Y))).
% 379 [para:375.1.1,9.1.1.2.2,demod:275,360] equal(double_divide(double_divide(X,Y),Y),X).
% 383 [para:375.1.1,35.1.1.1.2,demod:275,321] equal(multiply(X,double_divide(Y,X)),inverse(Y)).
% 385 [para:375.1.1,12.1.1.1.2.1.1,demod:298,138,297,310] equal(double_divide(X,double_divide(Y,X)),Y).
% 389 [para:375.1.1,13.1.1,demod:367,325,297,310] equal(multiply(X,multiply(Y,double_divide(Z,X))),double_divide(inverse(Y),Z)).
% 394 [para:375.1.1,152.1.2.2] equal(multiply(X,multiply(Y,Z)),multiply(Y,multiply(Z,X))).
% 395 [para:375.1.1,159.1.1.1.1,demod:359,297] equal(double_divide(X,Y),double_divide(Y,X)).
% 398 [para:379.1.1,10.1.1.1.2,demod:298,297] equal(double_divide(double_divide(X,Y),X),Y).
% 401 [para:379.1.1,148.1.1.2] equal(multiply(X,Y),double_divide(double_divide(Y,multiply(X,Z)),Z)).
% 402 [para:379.1.1,13.1.1.1,demod:326,155,297] equal(multiply(X,multiply(Y,Z)),double_divide(inverse(Y),double_divide(X,Z))).
% 409 [para:94.1.2,385.1.1.2,demod:367,297] equal(double_divide(X,multiply(double_divide(Y,X),Z)),double_divide(inverse(Y),Z)).
% 421 [para:395.1.1,109.1.1.2.1,demod:301] equal(double_divide(X,double_divide(Y,multiply(Z,X))),multiply(Z,Y)).
% 426 [para:15.1.1,11.1.1.1.1.2,demod:367,325,389,310,298,155,169,297] equal(double_divide(X,double_divide(inverse(Y),Z)),double_divide(double_divide(inverse(X),Z),Y)).
% 430 [para:15.1.1,35.1.1.1.2,demod:7,301,321,367,325,297] equal(double_divide(inverse(X),multiply(Y,Z)),multiply(double_divide(Z,Y),X)).
% 433 [para:15.1.1,45.1.1.1.2.2,demod:367,325,297,7,263] equal(multiply(X,multiply(double_divide(Y,X),Z)),double_divide(inverse(Z),Y)).
% 434 [para:15.1.1,94.1.2.2,demod:291,383,310,7,367,325,297] equal(double_divide(X,double_divide(inverse(Y),Z)),multiply(Z,double_divide(X,Y))).
% 435 [para:15.1.1,102.1.1.1,demod:367,325,297,275,433,310,7] equal(double_divide(double_divide(X,Y),Z),multiply(double_divide(inverse(Y),Z),X)).
% 448 [para:13.1.1,275.1.2.1,demod:7,367,325,322,297] equal(double_divide(X,inverse(Y)),multiply(Y,inverse(X))).
% 452 [para:299.1.1,13.1.2.1,demod:434,297] equal(multiply(double_divide(X,multiply(Y,Z)),multiply(Y,U)),multiply(U,double_divide(X,Z))).
% 456 [para:304.1.1,12.1.1.1.2.1.1,demod:376,367,325,297] equal(double_divide(inverse(X),X),double_divide(inverse(Y),Y)).
% 463 [para:11.1.1,17.1.1.1.1,demod:298,359,118,297,310,402,318] equal(multiply(X,multiply(Y,double_divide(Z,U))),double_divide(Z,multiply(U,double_divide(X,Y)))).
% 465 [para:19.1.1,17.1.1.2.2,demod:448,321,298,452,297] equal(multiply(X,double_divide(Y,Z)),double_divide(double_divide(X,inverse(Y)),Z)).
% 485 [para:17.1.1,159.1.1.1.1,demod:359,118,7,322,310,297] equal(multiply(X,multiply(Y,multiply(Z,U))),double_divide(double_divide(U,X),double_divide(Z,Y))).
% 501 [para:320.1.2,11.1.1.1.1.2,demod:360,310,465,448] equal(multiply(X,double_divide(inverse(Y),Z)),double_divide(double_divide(Y,X),Z)).
% 504 [para:320.1.2,102.1.1.2,demod:501,448,310] equal(multiply(X,double_divide(Y,inverse(Z))),double_divide(double_divide(X,Z),Y)).
% 507 [para:9.1.1,18.1.1.1.1,demod:275,367,325,297] equal(multiply(double_divide(X,double_divide(Y,Z)),U),double_divide(double_divide(Y,multiply(Z,U)),X)).
% 519 [para:12.1.1,18.1.1.1.1,demod:263,385,463,7,409,297,485,118,310,507] equal(double_divide(double_divide(X,multiply(Y,Z)),U),multiply(Z,double_divide(double_divide(X,Y),U))).
% 578 [para:20.1.1,13.1.1.2,demod:485,214,310,359,507,297] equal(double_divide(double_divide(double_divide(X,Y),double_divide(Z,U)),V),double_divide(X,double_divide(double_divide(V,U),double_divide(Z,Y)))).
% 598 [para:365.1.1,17.1.1.2,demod:504,448,297] equal(multiply(double_divide(X,multiply(Y,Z)),U),double_divide(double_divide(double_divide(Y,X),U),Z)).
% 626 [para:21.1.1,17.1.1.1.1,demod:379,578,485,261,434,426,367,325,138,297,310] equal(multiply(X,double_divide(Y,multiply(Z,U))),double_divide(Y,double_divide(X,double_divide(Z,U)))).
% 635 [para:21.1.2,21.1.2.2.2,demod:421,435,360,169,452,138,297,310] equal(double_divide(X,double_divide(Y,multiply(Z,U))),multiply(double_divide(double_divide(Z,U),X),Y)).
% 769 [para:20.1.1,296.1.1.1.1,demod:310,398,598,155,297] equal(double_divide(double_divide(X,Y),multiply(Z,double_divide(U,V))),double_divide(double_divide(X,multiply(V,multiply(Y,U))),Z)).
% 780 [para:15.1.1,298.1.2.1.2,demod:598,430,155,367,325,297] equal(double_divide(X,double_divide(Y,double_divide(Z,U))),double_divide(double_divide(double_divide(U,X),Y),Z)).
% 854 [para:159.1.1,401.1.2.1.2,demod:780,598,297] equal(double_divide(X,double_divide(Y,double_divide(Z,U))),double_divide(double_divide(Y,double_divide(X,Z)),U)).
% 995 [para:42.1.1,23.1.2.2.1,demod:769,402,326,310,297,635] equal(multiply(X,multiply(Y,Z)),double_divide(double_divide(U,V),double_divide(X,double_divide(double_divide(Z,Y),multiply(U,V))))).
% 1013 [para:20.1.1,371.1.2.2,demod:854,769,519,507,155,626,402,310,297] equal(double_divide(X,double_divide(Y,multiply(Z,multiply(U,V)))),double_divide(double_divide(W,Y),double_divide(V,double_divide(double_divide(U,Z),multiply(W,X))))).
% 2237 [input:8,cut:375] -equal(multiply(multiply(inverse(b2),b2),a2),a2) | -equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) | -equal(multiply(inverse(a1),a1),multiply(inverse(b1),b1)).
% 2238 [para:995.1.1,2237.2.2,demod:379,435,367,263,1013,310,cut:394,cut:5,cut:456] 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 7
% seconds given: 10
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 320
% derived clauses: 168604
% kept clauses: 2225
% kept size sum: 42845
% kept mid-nuclei: 2
% kept new demods: 688
% forw unit-subs: 166317
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 2
% fast unit cutoff: 4
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 7.60
% process. runtime: 7.60
% 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/GRP110-1+eq_r.in")
%
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