TSTP Solution File: GRP106-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP106-1 : 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 : 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/GRP106-1+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(4,40,0,8,0,0,2286,4,756)
%
%
% START OF PROOF
% 5 [] equal(X,X).
% 6 [] equal(inverse(double_divide(double_divide(X,Y),inverse(double_divide(X,inverse(double_divide(Z,Y)))))),Z).
% 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(multiply(multiply(X,Y),Z),double_divide(Z,X)),Y).
% 10 [para:6.1.1,6.1.1.1.2,demod:7] equal(multiply(X,double_divide(double_divide(Y,Z),multiply(Z,X))),Y).
% 11 [para:6.1.1,6.1.1.1.2.1.2,demod:7] equal(multiply(multiply(X,Y),double_divide(Y,multiply(multiply(Z,X),U))),double_divide(U,Z)).
% 12 [para:10.1.1,9.1.1.1] equal(multiply(X,double_divide(double_divide(double_divide(X,Y),multiply(Y,multiply(Z,U))),Z)),U).
% 13 [para:10.1.1,9.1.1.1.1] equal(multiply(multiply(X,Y),double_divide(Y,Z)),double_divide(double_divide(X,U),multiply(U,Z))).
% 14 [para:9.1.1,10.1.1.2.2] equal(multiply(double_divide(X,Y),double_divide(double_divide(Z,multiply(multiply(Y,U),X)),U)),Z).
% 15 [para:10.1.1,10.1.1.2.2] equal(multiply(double_divide(double_divide(X,Y),multiply(Y,Z)),double_divide(double_divide(U,Z),X)),U).
% 17 [para:11.1.1,9.1.1.1.1] equal(multiply(multiply(double_divide(X,Y),Z),double_divide(Z,multiply(U,V))),double_divide(V,multiply(multiply(Y,U),X))).
% 18 [para:9.1.1,11.1.1.1] equal(multiply(X,double_divide(double_divide(Y,Z),multiply(multiply(U,multiply(multiply(Z,X),Y)),V))),double_divide(V,U)).
% 19 [para:11.1.1,10.1.1] equal(double_divide(multiply(X,double_divide(Y,multiply(Z,X))),Z),Y).
% 20 [para:11.1.1,10.1.1.2.2] equal(multiply(double_divide(X,multiply(multiply(Y,Z),U)),double_divide(double_divide(V,multiply(Z,X)),double_divide(U,Y))),V).
% 21 [para:10.1.1,11.1.1.1] equal(multiply(X,double_divide(double_divide(double_divide(X,Y),multiply(Y,Z)),multiply(multiply(U,Z),V))),double_divide(V,U)).
% 22 [para:10.1.1,11.1.1.2.2] equal(multiply(multiply(X,Y),double_divide(Y,Z)),double_divide(double_divide(double_divide(Z,U),multiply(U,multiply(V,X))),V)).
% 24 [para:11.1.1,11.1.1.2.2] equal(multiply(multiply(X,Y),double_divide(Y,double_divide(Z,U))),double_divide(double_divide(X,multiply(multiply(U,V),Z)),V)).
% 25 [para:19.1.1,7.1.2.1] equal(multiply(X,multiply(Y,double_divide(Z,multiply(X,Y)))),inverse(Z)).
% 32 [para:11.1.1,19.1.1.1] equal(double_divide(double_divide(multiply(X,Y),Z),multiply(Z,X)),Y).
% 34 [para:19.1.1,19.1.1.1.2] equal(double_divide(multiply(X,Y),Z),multiply(U,double_divide(Y,multiply(multiply(Z,X),U)))).
% 35 [para:32.1.1,7.1.2.1] equal(multiply(multiply(X,Y),double_divide(multiply(Y,Z),X)),inverse(Z)).
% 45 [para:25.1.1,9.1.1.1,demod:34] equal(multiply(inverse(X),double_divide(double_divide(multiply(Y,X),Z),Z)),Y).
% 58 [para:9.1.1,35.1.1.2.1,demod:7] equal(multiply(multiply(X,multiply(multiply(Y,Z),U)),double_divide(Z,X)),multiply(Y,U)).
% 67 [para:35.1.1,32.1.1.1.1] equal(double_divide(double_divide(inverse(X),Y),multiply(Y,multiply(Z,U))),double_divide(multiply(U,X),Z)).
% 91 [para:9.1.1,45.1.1.2.1.1,demod:7] equal(multiply(multiply(X,Y),double_divide(double_divide(Z,U),U)),multiply(multiply(X,Z),Y)).
% 94 [para:45.1.1,19.1.1.1] equal(double_divide(X,Y),double_divide(multiply(X,Z),multiply(Y,inverse(Z)))).
% 102 [para:35.1.1,45.1.1.2.1.1,demod:91,7] equal(multiply(multiply(X,inverse(Y)),multiply(Z,Y)),multiply(X,Z)).
% 108 [para:9.1.1,94.1.2.1,demod:7] equal(double_divide(multiply(multiply(X,Y),Z),U),double_divide(Y,multiply(U,multiply(X,Z)))).
% 109 [para:94.1.2,10.1.1.2.1,demod:34] equal(double_divide(multiply(inverse(X),double_divide(Y,Z)),Z),multiply(Y,X)).
% 122 [para:9.1.1,102.1.1.2,demod:7] equal(multiply(multiply(X,multiply(Y,Z)),U),multiply(X,multiply(multiply(Y,U),Z))).
% 144 [para:10.1.1,109.1.1.1] equal(double_divide(X,multiply(Y,inverse(Z))),multiply(double_divide(X,Y),Z)).
% 149 [para:12.1.1,109.1.1.1,demod:67] equal(double_divide(X,Y),multiply(double_divide(multiply(X,Z),Y),Z)).
% 152 [para:9.1.1,149.1.2.1.1,demod:108] equal(double_divide(X,multiply(Y,multiply(Z,U))),multiply(double_divide(X,Y),double_divide(U,Z))).
% 156 [para:19.1.1,149.1.2.1] equal(double_divide(X,Y),multiply(Z,double_divide(Z,multiply(Y,X)))).
% 165 [para:149.1.2,94.1.2.1,demod:144] equal(double_divide(double_divide(multiply(X,Y),Z),U),multiply(double_divide(double_divide(X,Z),U),Y)).
% 170 [para:109.1.1,149.1.2.1] equal(double_divide(inverse(X),Y),multiply(multiply(Z,X),double_divide(Z,Y))).
% 176 [para:9.1.1,13.1.1.1,demod:108] equal(multiply(X,double_divide(double_divide(Y,Z),U)),double_divide(double_divide(X,multiply(V,multiply(Z,Y))),multiply(V,U))).
% 194 [para:13.1.1,25.1.1.2.2.2,demod:10,165,152] equal(multiply(multiply(X,Y),double_divide(Y,multiply(X,Z))),inverse(Z)).
% 222 [para:156.1.2,10.1.1] equal(double_divide(double_divide(X,Y),Y),X).
% 223 [para:156.1.2,10.1.1.2.2,demod:194,152] equal(double_divide(X,inverse(multiply(X,Y))),Y).
% 232 [para:156.1.2,25.1.1.2] equal(multiply(X,double_divide(Y,X)),inverse(Y)).
% 234 [para:25.1.1,156.1.2.2.2,demod:19] equal(X,multiply(Y,double_divide(Y,inverse(X)))).
% 235 [para:156.1.2,35.1.1] equal(double_divide(X,Y),inverse(multiply(Y,X))).
% 247 [para:156.1.2,13.1.2.2] equal(multiply(multiply(X,Y),double_divide(Y,double_divide(Z,multiply(U,V)))),double_divide(double_divide(X,Z),double_divide(V,U))).
% 253 [para:222.1.1,6.1.1.1.2.1.2.1,demod:7] equal(multiply(multiply(inverse(X),Y),double_divide(Y,Z)),double_divide(X,Z)).
% 254 [para:222.1.1,10.1.1.2.1] equal(multiply(X,double_divide(Y,multiply(Z,X))),double_divide(Y,Z)).
% 256 [para:222.1.1,19.1.1.1.2] equal(double_divide(multiply(X,Y),Z),double_divide(Y,multiply(Z,X))).
% 257 [para:222.1.1,25.1.1.2.2,demod:7] equal(multiply(X,multiply(Y,Z)),multiply(multiply(X,Y),Z)).
% 259 [para:222.1.1,45.1.1.2] equal(multiply(inverse(X),multiply(Y,X)),Y).
% 265 [para:223.1.1,7.1.2.1,demod:235] equal(multiply(double_divide(X,Y),Y),inverse(X)).
% 267 [para:223.1.1,6.1.1.1.2.1.2.1,demod:253,7,235] equal(double_divide(X,double_divide(X,Y)),Y).
% 268 [para:10.1.1,223.1.1.2.1] equal(double_divide(X,inverse(Y)),double_divide(double_divide(Y,Z),multiply(Z,X))).
% 276 [para:45.1.1,223.1.1.2.1,demod:256] equal(double_divide(inverse(X),inverse(Y)),double_divide(double_divide(X,multiply(Z,Y)),Z)).
% 278 [para:223.1.1,149.1.2.1,demod:256,235,257] equal(double_divide(X,double_divide(Y,multiply(X,Z))),multiply(Y,Z)).
% 279 [para:223.1.1,13.1.1.2,demod:268,235,257] equal(multiply(X,multiply(Y,Z)),double_divide(double_divide(Z,Y),inverse(X))).
% 281 [para:267.1.1,7.1.2.1] equal(multiply(double_divide(X,Y),X),inverse(Y)).
% 284 [para:19.1.1,267.1.1.2,demod:254] equal(double_divide(double_divide(X,Y),X),Y).
% 289 [para:94.1.2,267.1.1.2,demod:281,256] equal(double_divide(X,inverse(Y)),multiply(Y,inverse(X))).
% 290 [para:267.1.1,109.1.1.1.2,demod:278,7,289,256] equal(multiply(X,Y),multiply(Y,X)).
% 296 [para:223.1.1,267.1.1.2,demod:235] equal(double_divide(X,Y),double_divide(Y,X)).
% 308 [para:19.1.1,14.1.1.2.1,demod:122,257,152] equal(double_divide(X,multiply(Y,multiply(Z,U))),multiply(V,double_divide(U,multiply(Y,multiply(Z,multiply(V,X)))))).
% 309 [para:14.1.1,32.1.1.1.1,demod:257,279,268] equal(multiply(X,multiply(Y,Z)),double_divide(double_divide(X,multiply(Y,multiply(U,Z))),U)).
% 314 [para:25.1.1,14.1.1.2.1.2,demod:7,232,284,176,256,257] equal(multiply(X,multiply(inverse(X),Y)),Y).
% 317 [para:14.1.1,35.1.1.2.1,demod:256,235,309,152,257] equal(multiply(X,double_divide(Y,multiply(Z,multiply(X,U)))),double_divide(Y,multiply(U,Z))).
% 328 [para:14.1.1,13.1.2.2,demod:256,156,309,257] equal(multiply(X,double_divide(Y,multiply(Z,U))),double_divide(double_divide(X,double_divide(Y,U)),Z)).
% 332 [para:284.1.1,7.1.2.1] equal(multiply(X,double_divide(X,Y)),inverse(Y)).
% 334 [para:284.1.1,25.1.1.2.2,demod:257,7,256] equal(multiply(X,multiply(Y,Z)),multiply(Z,multiply(X,Y))).
% 338 [para:284.1.1,109.1.1.1.2,demod:289,256] equal(double_divide(X,double_divide(Y,inverse(Z))),multiply(double_divide(Z,X),Y)).
% 358 [para:290.1.1,13.1.2.2,demod:289,332,257] equal(double_divide(X,inverse(Y)),double_divide(double_divide(Y,Z),multiply(X,Z))).
% 359 [para:296.1.1,35.1.1.2,demod:170] equal(double_divide(inverse(X),multiply(X,Y)),inverse(Y)).
% 370 [para:15.1.1,11.1.1.2.2.1,demod:338,268,358,156,256,165] equal(double_divide(double_divide(X,inverse(Y)),Z),multiply(double_divide(Z,Y),X)).
% 377 [para:15.1.1,13.1.1.1,demod:170,256,370,268] equal(multiply(X,double_divide(double_divide(double_divide(X,Y),Z),U)),double_divide(Y,double_divide(inverse(U),Z))).
% 378 [para:15.1.1,13.1.2.2,demod:256,338,268,7,332,257] equal(multiply(X,multiply(Y,double_divide(Z,U))),double_divide(U,multiply(Z,double_divide(Y,X)))).
% 380 [para:234.1.2,35.1.1.2.1,demod:7,378,257] equal(double_divide(X,multiply(Y,double_divide(Z,X))),multiply(inverse(Y),Z)).
% 381 [para:234.1.2,12.1.1.2.1.2.2,demod:370,268] equal(multiply(X,multiply(double_divide(Y,X),Z)),double_divide(Y,inverse(Z))).
% 383 [para:234.1.2,13.1.2.2,demod:381,257,338] equal(multiply(X,double_divide(Y,inverse(Z))),double_divide(double_divide(X,Z),Y)).
% 388 [para:259.1.1,94.1.2.1,demod:380,235] equal(double_divide(inverse(X),Y),multiply(inverse(Y),X)).
% 390 [para:259.1.1,149.1.2.1.1] equal(double_divide(inverse(X),Y),multiply(double_divide(Z,Y),multiply(Z,X))).
% 396 [para:265.1.1,94.1.2.1,demod:338,289] equal(double_divide(double_divide(X,Y),Z),multiply(double_divide(Z,inverse(X)),Y)).
% 397 [para:265.1.1,94.1.2.2,demod:388,256,338] equal(multiply(double_divide(X,Y),Z),double_divide(X,double_divide(inverse(Y),Z))).
% 399 [para:265.1.1,149.1.2.1.1] equal(double_divide(double_divide(X,Y),Z),multiply(double_divide(inverse(X),Z),Y)).
% 407 [para:17.1.1,11.1.1.2.2,demod:256,247,257] equal(double_divide(double_divide(X,Y),double_divide(Z,multiply(U,V))),double_divide(double_divide(X,multiply(V,Y)),double_divide(Z,U))).
% 421 [para:17.1.1,102.1.1.2,demod:256,397,328,390,317,122,257,7] equal(double_divide(X,multiply(Y,double_divide(Z,U))),multiply(Z,multiply(double_divide(Y,X),U))).
% 427 [para:17.1.1,13.1.1.1,demod:256,267,421,7,232,122,328,152,257] equal(double_divide(double_divide(X,double_divide(Y,Z)),U),double_divide(double_divide(X,multiply(V,double_divide(Z,Y))),multiply(V,U))).
% 444 [para:332.1.1,109.1.1.1,demod:388] equal(double_divide(inverse(X),X),double_divide(inverse(Y),Y)).
% 450 [para:25.1.1,18.1.1.2.2,demod:235,276,256,308,122,257,279] equal(multiply(X,multiply(Y,multiply(Z,U))),double_divide(inverse(U),double_divide(Y,multiply(Z,X)))).
% 459 [para:13.1.1,18.1.1.2.2,demod:256,257,421,338,268] equal(double_divide(double_divide(X,Y),multiply(Z,double_divide(U,V))),double_divide(double_divide(X,multiply(V,multiply(Y,U))),Z)).
% 469 [para:314.1.1,18.1.1.2.2,demod:284,328,256,235,257] equal(multiply(X,double_divide(double_divide(Y,Z),U)),double_divide(U,double_divide(Y,multiply(Z,X)))).
% 487 [para:20.1.1,13.1.1.1,demod:427,459,257,450,377,407] equal(double_divide(X,multiply(Y,multiply(Z,multiply(U,V)))),double_divide(double_divide(double_divide(X,Y),double_divide(U,Z)),V)).
% 506 [para:149.1.2,21.1.1.2.2.1,demod:338,289,281,257,421,256,370,268] equal(multiply(double_divide(X,double_divide(Y,Z)),U),double_divide(X,double_divide(U,multiply(Z,Y)))).
% 519 [para:11.1.1,359.1.1.2,demod:122,7,257,235] equal(double_divide(double_divide(X,Y),double_divide(Z,U)),multiply(U,multiply(Y,multiply(X,Z)))).
% 526 [para:22.1.2,19.1.1.1.2,demod:519,383,289,332,257] equal(double_divide(double_divide(double_divide(X,Y),Z),U),double_divide(double_divide(Z,V),double_divide(double_divide(X,U),double_divide(Y,V)))).
% 530 [para:35.1.1,22.1.1.1,demod:222,526,519,328,7,388,256] equal(double_divide(double_divide(double_divide(X,double_divide(Y,Z)),U),Y),double_divide(double_divide(U,Z),X)).
% 544 [para:22.1.2,17.1.1.1.1,demod:156,421,397,388,256,268,530,328,165,396,289,332,257] equal(double_divide(double_divide(double_divide(X,Y),Z),U),double_divide(Y,double_divide(double_divide(X,U),Z))).
% 547 [para:22.1.1,18.1.1.2.2,demod:459,257,506,338,232,397,388,256,268] equal(multiply(X,double_divide(Y,double_divide(Z,multiply(U,V)))),double_divide(double_divide(V,U),multiply(Y,double_divide(X,Z)))).
% 717 [para:35.1.1,278.1.1.2.2,demod:328,396,256] equal(double_divide(X,double_divide(double_divide(Y,Z),U)),double_divide(double_divide(U,double_divide(Y,X)),Z)).
% 778 [para:334.1.1,24.1.2.1.2.1,demod:544,717,519,122,7,332,257] equal(multiply(X,multiply(Y,Z)),double_divide(double_divide(U,V),double_divide(Y,double_divide(double_divide(Z,X),multiply(U,V))))).
% 1039 [para:58.1.1,13.1.1.1,demod:544,717,487,519,547,469,257] equal(double_divide(double_divide(X,Y),multiply(Z,double_divide(U,V))),double_divide(double_divide(W,U),double_divide(Y,double_divide(double_divide(X,V),multiply(W,Z))))).
% 2287 [input:8,cut:290] -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)).
% 2288 [para:778.1.1,2287.2.2,demod:284,399,388,279,332,1039,257,cut:5,cut:5,cut:444] 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: 317
% derived clauses: 164610
% kept clauses: 2275
% kept size sum: 44554
% kept mid-nuclei: 2
% kept new demods: 604
% forw unit-subs: 162270
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 1
% fast unit cutoff: 4
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 7.60
% process. runtime: 7.57
% 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/GRP106-1+eq_r.in")
%
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