TSTP Solution File: GRP105-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP105-1 : 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 : art06.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/GRP105-1+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(4,40,1,8,0,1,1767,4,755)
%
%
% START OF PROOF
% 5 [] equal(X,X).
% 6 [] equal(double_divide(inverse(double_divide(double_divide(X,Y),inverse(double_divide(X,inverse(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:6.1.1,7.1.2.1,demod:7] equal(multiply(X,multiply(multiply(inverse(Y),Z),double_divide(Z,X))),inverse(Y)).
% 10 [para:7.1.2,6.1.1.1,demod:7] equal(double_divide(multiply(multiply(inverse(X),Y),double_divide(Y,Z)),Z),X).
% 11 [para:7.1.2,6.1.1.1.1.2.1.2,demod:7] equal(double_divide(multiply(multiply(multiply(X,Y),Z),double_divide(Z,U)),U),double_divide(Y,X)).
% 12 [para:6.1.1,6.1.1.1.1.1,demod:7] equal(double_divide(multiply(multiply(inverse(X),multiply(multiply(inverse(Y),Z),double_divide(Z,U))),Y),U),X).
% 13 [para:6.1.1,6.1.1.1.1.2.1,demod:7] equal(double_divide(multiply(inverse(X),double_divide(multiply(multiply(inverse(X),Y),double_divide(Y,inverse(Z))),U)),U),Z).
% 14 [para:7.1.2,9.1.1.2.1.1,demod:7] equal(multiply(X,multiply(multiply(multiply(Y,Z),U),double_divide(U,X))),multiply(Y,Z)).
% 15 [para:6.1.1,9.1.1.2.2,demod:7] equal(multiply(X,multiply(multiply(inverse(Y),multiply(multiply(inverse(Z),U),double_divide(U,X))),Z)),inverse(Y)).
% 16 [para:9.1.1,9.1.1.2.1] equal(multiply(X,multiply(inverse(Y),double_divide(multiply(multiply(inverse(Y),Z),double_divide(Z,inverse(U))),X))),inverse(U)).
% 20 [para:6.1.1,11.1.1.1.2,demod:7] equal(double_divide(multiply(multiply(multiply(X,Y),multiply(multiply(inverse(Z),U),double_divide(U,V))),Z),V),double_divide(Y,X)).
% 23 [para:11.1.1,11.1.1.1.2] equal(double_divide(multiply(multiply(multiply(X,Y),multiply(multiply(multiply(Z,U),V),double_divide(V,W))),double_divide(U,Z)),W),double_divide(Y,X)).
% 24 [para:6.1.1,14.1.1.2.2,demod:7] equal(multiply(X,multiply(multiply(multiply(Y,Z),multiply(multiply(inverse(U),V),double_divide(V,X))),U)),multiply(Y,Z)).
% 26 [para:9.1.1,14.1.1.2.1] equal(multiply(X,multiply(inverse(Y),double_divide(multiply(multiply(inverse(Y),Z),double_divide(Z,multiply(U,V))),X))),multiply(U,V)).
% 28 [para:11.1.1,14.1.1.2.2] equal(multiply(X,multiply(multiply(multiply(Y,Z),multiply(multiply(multiply(U,V),W),double_divide(W,X))),double_divide(V,U))),multiply(Y,Z)).
% 30 [para:9.1.1,12.1.1.1.1] equal(double_divide(multiply(inverse(X),X),inverse(Y)),Y).
% 31 [para:30.1.1,7.1.2.1] equal(multiply(inverse(X),multiply(inverse(Y),Y)),inverse(X)).
% 34 [para:30.1.1,6.1.1.1.1.1,demod:7,30] equal(double_divide(multiply(inverse(X),Y),inverse(Y)),X).
% 36 [para:30.1.1,9.1.1.2.2,demod:31] equal(multiply(inverse(X),multiply(inverse(Y),X)),inverse(Y)).
% 40 [para:7.1.2,34.1.1.1.1] equal(double_divide(multiply(multiply(X,Y),Z),inverse(Z)),double_divide(Y,X)).
% 45 [para:34.1.1,11.1.1.1.2] equal(double_divide(multiply(multiply(multiply(X,Y),multiply(inverse(Z),U)),Z),inverse(U)),double_divide(Y,X)).
% 51 [para:31.1.1,30.1.1.1] equal(double_divide(inverse(multiply(inverse(X),X)),inverse(Y)),Y).
% 52 [para:31.1.1,34.1.1.1] equal(double_divide(inverse(X),inverse(multiply(inverse(Y),Y))),X).
% 67 [para:7.1.2,52.1.1.1] equal(double_divide(multiply(X,Y),inverse(multiply(inverse(Z),Z))),double_divide(Y,X)).
% 70 [para:52.1.1,6.1.1.1.1.1,demod:67,7] equal(double_divide(X,multiply(inverse(Y),inverse(X))),Y).
% 78 [para:52.1.1,51.1.1] equal(multiply(inverse(X),X),multiply(inverse(Y),Y)).
% 79 [para:70.1.1,7.1.2.1] equal(multiply(multiply(inverse(X),inverse(Y)),Y),inverse(X)).
% 94 [para:78.1.1,11.1.1.1.1.1,demod:11] equal(double_divide(X,inverse(X)),double_divide(Y,inverse(Y))).
% 95 [para:78.1.1,12.1.1.1.1] equal(double_divide(multiply(multiply(inverse(X),X),Y),Z),multiply(multiply(inverse(Y),U),double_divide(U,Z))).
% 100 [para:78.1.1,70.1.1.2] equal(double_divide(X,multiply(inverse(Y),Y)),inverse(X)).
% 106 [para:94.1.1,6.1.1.1.1.2.1,demod:100,7] equal(double_divide(inverse(multiply(X,Y)),X),Y).
% 118 [para:106.1.1,7.1.2.1] equal(multiply(X,inverse(multiply(X,Y))),inverse(Y)).
% 122 [?] ?
% 125 [?] ?
% 127 [?] ?
% 135 [para:100.1.1,13.1.1,demod:118,100,127,122] equal(inverse(inverse(X)),X).
% 137 [para:7.1.2,135.1.1.1] equal(inverse(multiply(X,Y)),double_divide(Y,X)).
% 139 [para:135.1.1,9.1.1.2.1.1,demod:135] equal(multiply(X,multiply(multiply(Y,Z),double_divide(Z,X))),Y).
% 144 [para:135.1.1,34.1.1.1.1] equal(double_divide(multiply(X,Y),inverse(Y)),inverse(X)).
% 147 [para:135.1.1,13.1.1.1.2.1.2.2,demod:135,122] equal(double_divide(multiply(inverse(X),double_divide(double_divide(X,Y),Z)),Z),inverse(Y)).
% 148 [para:135.1.1,31.1.1.1,demod:135] equal(multiply(X,multiply(inverse(Y),Y)),X).
% 151 [para:135.1.1,36.1.1.2.1,demod:135] equal(multiply(inverse(X),multiply(Y,X)),Y).
% 153 [para:135.1.1,51.1.1.2,demod:137] equal(double_divide(double_divide(X,inverse(X)),Y),inverse(Y)).
% 167 [para:16.1.1,11.1.1.1.1.1,demod:147,135,122] equal(double_divide(double_divide(X,Y),Y),X).
% 177 [para:167.1.1,7.1.2.1] equal(multiply(X,double_divide(Y,X)),inverse(Y)).
% 180 [para:34.1.1,167.1.1.1] equal(double_divide(X,inverse(Y)),multiply(inverse(X),Y)).
% 181 [para:70.1.1,167.1.1.1,demod:135,180] equal(double_divide(X,double_divide(X,Y)),Y).
% 191 [para:70.1.1,181.1.1.2,demod:135,180] equal(double_divide(X,Y),double_divide(Y,X)).
% 193 [para:106.1.1,181.1.1.2,demod:137] equal(double_divide(double_divide(X,Y),X),Y).
% 194 [para:181.1.1,167.1.1.1] equal(double_divide(X,double_divide(Y,X)),Y).
% 195 [para:191.1.1,7.1.2.1,demod:7] equal(multiply(X,Y),multiply(Y,X)).
% 205 [para:193.1.1,6.1.1.1.1.1,demod:180,7] equal(double_divide(multiply(double_divide(X,multiply(Y,Z)),Y),Z),X).
% 212 [para:194.1.1,7.1.2.1] equal(multiply(double_divide(X,Y),Y),inverse(X)).
% 214 [para:6.1.1,194.1.1.2,demod:180,7] equal(double_divide(X,Y),multiply(double_divide(Y,inverse(Z)),double_divide(Z,X))).
% 217 [para:12.1.1,194.1.1.2,demod:7,214,180] equal(double_divide(X,Y),multiply(double_divide(Y,multiply(Z,X)),Z)).
% 267 [para:78.1.1,148.1.1.2,demod:180] equal(multiply(X,double_divide(Y,inverse(Y))),X).
% 274 [para:151.1.1,10.1.1.1.1] equal(double_divide(multiply(X,double_divide(multiply(X,Y),Z)),Z),Y).
% 277 [para:15.1.1,151.1.1.2,demod:217,7,214,180] equal(multiply(multiply(X,Y),inverse(X)),Y).
% 278 [para:151.1.1,106.1.1.1.1] equal(double_divide(inverse(X),inverse(Y)),multiply(X,Y)).
% 279 [para:135.1.1,151.1.1.1] equal(multiply(X,multiply(Y,inverse(X))),Y).
% 282 [para:137.1.1,151.1.1.1] equal(multiply(double_divide(X,Y),multiply(Z,multiply(Y,X))),Z).
% 296 [para:20.1.1,167.1.1.1,demod:214,180] equal(double_divide(double_divide(X,Y),Z),multiply(multiply(multiply(Y,X),double_divide(Z,U)),U)).
% 331 [para:277.1.1,106.1.1.1.1] equal(double_divide(inverse(X),multiply(Y,X)),inverse(Y)).
% 379 [para:144.1.1,181.1.1.2] equal(double_divide(multiply(X,Y),inverse(X)),inverse(Y)).
% 397 [para:148.1.1,24.1.1.2.1.1,demod:267,214,180] equal(multiply(X,multiply(multiply(Y,double_divide(X,Z)),Z)),Y).
% 403 [para:7.1.2,153.1.1.1.2] equal(double_divide(double_divide(double_divide(X,Y),multiply(Y,X)),Z),inverse(Z)).
% 439 [para:148.1.1,26.1.1.2.2.1.2.2,demod:267,7,214,180] equal(multiply(X,double_divide(Y,multiply(X,double_divide(Z,Y)))),Z).
% 446 [para:137.1.1,180.1.2.1] equal(double_divide(multiply(X,Y),inverse(Z)),multiply(double_divide(Y,X),Z)).
% 468 [para:278.1.1,6.1.1.1.1.1,demod:446,7,137,278] equal(multiply(double_divide(multiply(X,Y),double_divide(Z,X)),Y),Z).
% 473 [para:137.1.1,278.1.1.2] equal(double_divide(inverse(X),double_divide(Y,Z)),multiply(X,multiply(Z,Y))).
% 514 [para:379.1.1,6.1.1.1.1.2.1,demod:7,135] equal(double_divide(multiply(X,double_divide(multiply(Y,X),Z)),Z),Y).
% 529 [para:79.1.1,11.1.1.1.1,demod:278,7,180] equal(double_divide(double_divide(X,multiply(Y,Z)),Y),multiply(Z,X)).
% 533 [para:79.1.1,23.1.1.1.1,demod:446,137,125,7,180] equal(double_divide(double_divide(X,multiply(Y,Z)),U),multiply(double_divide(double_divide(Z,Y),U),X)).
% 535 [para:79.1.1,24.1.1.2.1,demod:137,7,214,180] equal(multiply(X,double_divide(Y,inverse(Z))),double_divide(Y,double_divide(X,Z))).
% 536 [para:79.1.1,28.1.1.2.1,demod:137,125,7,180] equal(multiply(X,double_divide(Y,multiply(Z,U))),double_divide(Y,double_divide(double_divide(U,Z),X))).
% 585 [?] ?
% 586 [para:106.1.1,205.1.1.1.1,demod:137] equal(double_divide(multiply(X,Y),Z),double_divide(X,multiply(Y,Z))).
% 589 [para:23.1.1,205.1.1.1.1,demod:7,403,533,536,137,125,585] equal(double_divide(double_divide(X,Y),multiply(Z,U)),multiply(multiply(Y,X),double_divide(U,Z))).
% 592 [para:6.1.1,217.1.2.1,demod:586,214,180,7] equal(double_divide(X,double_divide(Y,multiply(X,Z))),multiply(Z,Y)).
% 595 [para:15.1.1,217.1.2.1.2,demod:217,7,214,180] equal(double_divide(double_divide(X,Y),Z),multiply(double_divide(Z,inverse(Y)),X)).
% 596 [para:106.1.1,217.1.2.1,demod:137] equal(double_divide(X,double_divide(Y,multiply(Z,X))),multiply(Y,Z)).
% 604 [para:217.1.2,279.1.1.2,demod:180] equal(multiply(X,double_divide(Y,Z)),double_divide(Z,double_divide(X,inverse(Y)))).
% 614 [para:217.1.2,331.1.1.2,demod:7,473] equal(multiply(X,multiply(Y,Z)),multiply(multiply(X,Z),Y)).
% 638 [para:40.1.1,177.1.1.2,demod:586,137,614,7,180] equal(double_divide(X,multiply(Y,Z)),double_divide(X,multiply(Z,Y))).
% 697 [para:139.1.1,274.1.1.1.2.1,demod:589,212,586] equal(double_divide(X,inverse(Y)),double_divide(double_divide(Z,Y),multiply(X,Z))).
% 704 [para:282.1.1,217.1.2.1.2,demod:614,586] equal(double_divide(X,multiply(Y,multiply(Z,U))),multiply(double_divide(Z,X),double_divide(U,Y))).
% 758 [para:439.1.1,106.1.1.1.1] equal(double_divide(inverse(X),Y),double_divide(Z,multiply(Y,double_divide(X,Z)))).
% 765 [para:468.1.1,397.1.1.2.1,demod:614,592,704,586] equal(multiply(X,multiply(Y,Z)),multiply(X,multiply(Z,Y))).
% 830 [para:45.1.1,514.1.1.1.2,demod:604,589,180,533,446] equal(double_divide(double_divide(X,multiply(Y,Z)),U),multiply(X,double_divide(U,double_divide(Z,Y)))).
% 844 [para:468.1.1,529.1.1.1.2,demod:758,586] equal(double_divide(double_divide(X,Y),double_divide(inverse(Y),Z)),multiply(Z,X)).
% 1121 [para:95.1.2,596.1.1.2.2,demod:535,167,595,180] equal(double_divide(double_divide(X,Y),double_divide(Z,double_divide(U,Y))),double_divide(U,double_divide(Z,X))).
% 1139 [para:638.1.1,844.1.1.1,demod:137] equal(double_divide(double_divide(X,multiply(Y,Z)),double_divide(double_divide(Y,Z),U)),multiply(U,X)).
% 1204 [para:11.1.1,296.1.2.1.2,demod:533,137,697,586,589,614] equal(double_divide(double_divide(X,Y),double_divide(Z,double_divide(U,V))),double_divide(double_divide(Z,multiply(Y,X)),multiply(U,V))).
% 1768 [input:8,cut:78,cut:195] -equal(multiply(multiply(inverse(b2),b2),a2),a2) | -equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))).
% 1769 [para:1139.1.2,1768.1.1,demod:614,194,1121,1204,193,830,604,180,cut:5,cut:765] 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: 463
% derived clauses: 236419
% kept clauses: 1754
% kept size sum: 30315
% kept mid-nuclei: 4
% kept new demods: 1000
% forw unit-subs: 234452
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 39
% fast unit cutoff: 4
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 7.58
% process. runtime: 7.55
% specific non-discr-tree subsumption statistics:
% tried: 2
% length fails: 0
% strength fails: 2
% 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/GRP105-1+eq_r.in")
%
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