TSTP Solution File: GRP072-1 by Gandalf---c-2.6
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%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP072-1 : TPTP v3.4.2. Bugfixed v2.3.0.
% 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 30.0s
% Output : Assurance 30.0s
% 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/GRP072-1+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 5 5)
% (binary-unit 12 #f)
% (binary-unit-uniteq 12 #f)
% (binary-posweight-kb-big-order 60 #f 5 5)
% (binary-posweight-lex-big-order 30 #f 5 5)
% (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))).
% 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))).
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(4,40,1,8,0,1,12,50,1,16,0,1,1436,4,756,1439,50,757,1439,40,757,1443,0,757,22626,3,960,34318,4,1060,43490,5,1184,43494,1,1184,43494,50,1187,43494,40,1187,43498,0,1187,71743,3,1390,83721,4,1490,89757,5,1588,89761,1,1588,89761,50,1591,89761,40,1591,89765,0,1591,89769,50,1591,89773,0,1606,91277,3,2610,91347,4,3110,91361,5,3607,91361,1,3607,91361,50,3607,91361,40,3607,91365,0,3607,91366,50,3607,91370,0,3618,91373,50,3618,91377,0,3631)
%
%
% START OF PROOF
% 91374 [] equal(X,X).
% 91375 [] equal(divide(divide(inverse(divide(X,Y)),divide(divide(Z,U),X)),divide(U,Z)),Y).
% 91377 [] -equal(divide(divide(a3,inverse(b3)),inverse(c3)),divide(a3,inverse(divide(b3,inverse(c3))))) | -equal(divide(divide(inverse(b2),inverse(b2)),inverse(a2)),a2) | -equal(divide(inverse(a1),inverse(a1)),divide(inverse(b1),inverse(b1))).
% 91378 [para:91375.1.1,91375.1.1.1.1.1] equal(divide(divide(inverse(X),divide(divide(Y,Z),divide(inverse(divide(U,X)),divide(divide(V,W),U)))),divide(Z,Y)),divide(W,V)).
% 91379 [para:91375.1.1,91375.1.1.1.2] equal(divide(divide(inverse(divide(divide(X,Y),Z)),U),divide(divide(divide(Y,X),V),inverse(divide(V,U)))),Z).
% 91382 [para:91375.1.1,91379.1.1.1.1.1] equal(divide(divide(inverse(X),Y),divide(divide(divide(divide(divide(Z,U),V),inverse(divide(V,X))),W),inverse(divide(W,Y)))),divide(U,Z)).
% 91384 [para:91375.1.1,91378.1.1.1.2.1] equal(divide(divide(inverse(X),divide(Y,divide(inverse(divide(Z,X)),divide(divide(U,V),Z)))),divide(divide(W,X1),divide(inverse(divide(X2,Y)),divide(divide(X1,W),X2)))),divide(V,U)).
% 91385 [para:91375.1.1,91378.1.1.1.2.2.2.1] equal(divide(divide(inverse(X),divide(divide(Y,Z),divide(inverse(divide(U,X)),divide(V,U)))),divide(Z,Y)),divide(divide(W,X1),divide(inverse(divide(X2,V)),divide(divide(X1,W),X2)))).
% 91387 [para:91379.1.1,91378.1.1.1.2.2.2.1] equal(divide(divide(inverse(X),divide(divide(Y,Z),divide(inverse(divide(U,X)),divide(V,U)))),divide(Z,Y)),divide(divide(divide(divide(W,X1),X2),inverse(divide(X2,X3))),divide(inverse(divide(divide(X1,W),V)),X3))).
% 91389 [para:91378.1.1,91378.1.1.1.2.2.2.1,demod:91378] equal(divide(X,Y),divide(divide(Z,U),divide(inverse(V),divide(divide(U,Z),divide(inverse(divide(W,V)),divide(divide(X,Y),W)))))).
% 91400 [para:91375.1.1,91389.1.2.2.2.2.2.1,demod:91375] equal(X,divide(divide(Y,Z),divide(inverse(U),divide(divide(Z,Y),divide(inverse(divide(V,U)),divide(X,V)))))).
% 91407 [para:91375.1.1,91400.1.2.2.2] equal(X,divide(divide(divide(divide(divide(X,Y),inverse(divide(Y,Z))),U),inverse(divide(U,V))),divide(inverse(Z),V))).
% 91408 [para:91375.1.1,91400.1.2.2.2.1] equal(X,divide(divide(divide(Y,Z),divide(inverse(divide(U,V)),divide(divide(Z,Y),U))),divide(inverse(W),divide(V,divide(inverse(divide(X1,W)),divide(X,X1)))))).
% 91418 [para:91407.1.2,91407.1.2.1.1] equal(divide(divide(X,Y),inverse(divide(Y,Z))),divide(divide(X,inverse(divide(divide(inverse(Z),U),V))),divide(inverse(U),V))).
% 91425 [para:91418.1.1,91378.1.1.1.2.2.2.1,demod:91378] equal(divide(divide(inverse(X),Y),divide(Z,inverse(divide(divide(inverse(U),X),Y)))),divide(inverse(divide(V,U)),divide(Z,V))).
% 91429 [para:91418.1.2,91407.1.2] equal(X,divide(divide(divide(divide(divide(X,Y),inverse(divide(Y,Z))),divide(inverse(U),Z)),V),inverse(divide(V,U)))).
% 91431 [para:91418.1.2,91418.1.2] equal(divide(divide(X,Y),inverse(divide(Y,Z))),divide(divide(X,U),inverse(divide(U,Z)))).
% 91439 [para:91431.1.1,91375.1.1.1.2] equal(divide(divide(inverse(divide(inverse(divide(X,Y)),Z)),divide(divide(U,V),inverse(divide(V,Y)))),divide(X,U)),Z).
% 91454 [para:91431.1.1,91378.1.1.1.2.2.2.1,demod:91378] equal(divide(inverse(divide(X,Y)),divide(Z,X)),divide(inverse(divide(U,Y)),divide(Z,U))).
% 91515 [para:91425.1.1,91379.1.1] equal(divide(inverse(divide(X,Y)),divide(divide(divide(Z,U),divide(inverse(Y),divide(divide(U,Z),V))),X)),V).
% 91544 [para:91515.1.1,91375.1.1.1] equal(divide(X,divide(divide(inverse(Y),divide(divide(Z,U),X)),divide(U,Z))),Y).
% 91562 [para:91544.1.1,91375.1.1.1] equal(divide(X,divide(divide(divide(Y,Z),inverse(divide(divide(Z,Y),U))),inverse(X))),U).
% 91574 [para:91544.1.1,91400.1.2.2] equal(X,divide(divide(divide(divide(divide(X,Y),inverse(divide(Y,Z))),inverse(Z)),inverse(U)),U)).
% 91589 [para:91544.1.1,91544.1.1.2.1] equal(divide(divide(X,Y),divide(Z,divide(divide(divide(Y,X),inverse(U)),inverse(Z)))),U).
% 91602 [para:91562.1.1,91544.1.1.2.1] equal(divide(inverse(inverse(X)),divide(Y,divide(inverse(divide(divide(Z,U),Y)),divide(U,Z)))),X).
% 91640 [para:91574.1.2,91589.1.1.2.2] equal(divide(divide(inverse(X),divide(divide(Y,Z),inverse(divide(Z,X)))),divide(U,Y)),inverse(U)).
% 91674 [para:91640.1.2,91377.1.1.2] -equal(divide(divide(inverse(b2),inverse(b2)),inverse(a2)),a2) | -equal(divide(inverse(a1),inverse(a1)),divide(inverse(b1),inverse(b1))) | -equal(divide(divide(a3,inverse(b3)),divide(divide(inverse(X),divide(divide(Y,Z),inverse(divide(Z,X)))),divide(c3,Y))),divide(a3,inverse(divide(b3,inverse(c3))))).
% 91712 [para:91640.1.1,91544.1.1.2] equal(divide(inverse(divide(X,Y)),inverse(X)),Y).
% 91720 [para:91712.1.1,91375.1.1.1.1.1] equal(divide(divide(inverse(X),divide(divide(Y,Z),inverse(divide(U,X)))),divide(Z,Y)),inverse(U)).
% 91724 [para:91712.1.1,91379.1.1.1] equal(divide(X,divide(divide(divide(Y,Z),U),inverse(divide(U,inverse(divide(Z,Y)))))),X).
% 91771 [para:91562.1.1,91712.1.1.1.1] equal(divide(inverse(X),inverse(Y)),divide(divide(divide(Z,U),inverse(divide(divide(U,Z),X))),inverse(Y))).
% 91785 [para:91712.1.1,91712.1.1.1.1] equal(divide(inverse(X),inverse(inverse(divide(Y,X)))),inverse(Y)).
% 91838 [para:91785.1.1,91712.1.1.1.1] equal(divide(inverse(inverse(X)),inverse(inverse(Y))),inverse(inverse(divide(X,Y)))).
% 91864 [para:91384.1.1,91562.1.1.2.1.1,demod:91771,91408] equal(divide(X,divide(inverse(Y),inverse(X))),Y).
% 91974 [para:91712.1.1,91724.1.1.2.2.1,demod:91771] equal(divide(X,divide(inverse(Y),inverse(Y))),X).
% 91978 [para:91974.1.1,91375.1.1] equal(divide(inverse(divide(X,Y)),divide(divide(inverse(Z),inverse(Z)),X)),Y).
% 92045 [para:91974.1.1,91602.1.1.2.2.1.1.1,demod:91978] equal(divide(inverse(inverse(X)),divide(Y,Y)),X).
% 92050 [para:91974.1.1,91712.1.1.1.1] equal(divide(inverse(X),inverse(X)),divide(inverse(Y),inverse(Y))).
% 92052 [para:91974.1.1,91838.1.2.1.1,demod:92045,91838] equal(X,inverse(inverse(X))).
% 92059 [para:91385.1.1,91378.1.1] equal(divide(divide(X,Y),divide(inverse(divide(Z,divide(U,V))),divide(divide(Y,X),Z))),divide(V,U)).
% 92109 [para:91724.1.1,91385.1.1.1.2.2,demod:92059,92052,91838,91720] equal(divide(X,inverse(divide(Y,Z))),divide(X,divide(Z,Y))).
% 92148 [para:92052.1.2,91864.1.1.2.2] equal(divide(inverse(X),divide(inverse(Y),X)),Y).
% 92149 [para:92052.1.2,91974.1.1.2.1,demod:92052] equal(divide(X,divide(Y,Y)),X).
% 92177 [para:92149.1.1,91400.1.2.2.2.2,demod:92109] equal(X,divide(divide(Y,Z),divide(inverse(U),divide(divide(Z,Y),divide(U,X))))).
% 92183 [para:92149.1.1,91418.1.1.1,demod:92149,92109] equal(divide(X,Y),divide(divide(X,divide(Z,divide(inverse(Y),U))),divide(inverse(U),Z))).
% 92184 [para:92149.1.1,91418.1.1.2.1,demod:92149,92183,92109] equal(divide(divide(X,Y),inverse(Y)),X).
% 92185 [para:92149.1.1,91418.1.2,demod:92052,92184,92109] equal(divide(divide(X,Y),divide(Z,Y)),divide(X,Z)).
% 92196 [para:92149.1.1,91429.1.2.1,demod:92149,92185,92109] equal(X,divide(divide(X,inverse(Y)),Y)).
% 92197 [para:92149.1.1,91439.1.1.1.1.1,demod:92185,92109,92052,91838] equal(divide(X,X),divide(Y,Y)).
% 92205 [para:92149.1.1,91382.1.1.1,demod:92184,92149,92185,92109] equal(divide(inverse(X),divide(divide(Y,Z),X)),divide(Z,Y)).
% 92266 [para:92197.1.1,91429.1.2.1,demod:92196,92185,92109] equal(X,divide(divide(Y,Y),inverse(X))).
% 92270 [para:92197.1.1,91425.1.1.2.2.1,demod:92149,92109,92148] equal(divide(X,Y),divide(inverse(divide(Z,X)),divide(Y,Z))).
% 92286 [para:92197.1.1,91674.1.1.1,demod:92185,92109,92266,cut:91374,cut:92050] -equal(divide(divide(a3,inverse(b3)),divide(divide(inverse(X),divide(Y,X)),divide(c3,Y))),divide(a3,divide(inverse(c3),b3))).
% 92438 [para:91454.1.1,92184.1.1.1,demod:92185,92109,92270] equal(divide(X,Y),inverse(divide(Y,X))).
% 92488 [para:91387.1.2,91375.1.1.1.1.1,demod:92177,92185,92438] equal(divide(divide(X,divide(divide(Y,Z),divide(divide(U,V),W))),divide(Z,Y)),divide(divide(X,divide(V,U)),W)).
% 92491 [para:91387.1.1,91375.1.1.1.2.1,demod:92177,92185,92438] equal(divide(divide(X,divide(divide(Y,Z),divide(U,divide(Z,Y)))),U),X).
% 92505 [para:91387.1.1,91378.1.1,demod:92185,92438] equal(divide(divide(X,Y),divide(divide(Z,U),divide(Y,X))),divide(U,Z)).
% 92540 [para:91407.1.2,91387.1.1.1.2.2.2,demod:92505,92185,92205,92488,92438] equal(divide(divide(X,inverse(Y)),Z),divide(X,divide(Z,Y))).
% 92729 [para:91562.1.1,92286.1.1.2.2,demod:92491,92205,92438,cut:92540] 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 lex ordering for equality
% preferring bigger arities for lex ordering
% using clause demodulation
% clause length limited to 5
% clause depth limited to 7
% seconds given: 10
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 1407
% derived clauses: 2943140
% kept clauses: 90981
% kept size sum: 98161
% kept mid-nuclei: 0
% kept new demods: 43779
% forw unit-subs: 202173
% forw double-subs: 0
% forw overdouble-subs: 159
% backward subs: 8
% fast unit cutoff: 2
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 36.50
% process. runtime: 36.46
% specific non-discr-tree subsumption statistics:
% tried: 161
% length fails: 0
% strength fails: 0
% predlist fails: 0
% aux str. fails: 0
% by-lit fails: 0
% full subs tried: 2
% full subs fail: 2
%
% ; 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/GRP072-1+eq_r.in")
%
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