TSTP Solution File: GRP255-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP255-1 : TPTP v3.4.2. Released v2.5.0.
% Transfm : add_equality:r
% Format : otter:hypothesis:set(auto),clear(print_given)
% Command : gandalf-wrapper -time %d %s
% Computer : art02.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 60.0s
% Output : Assurance 60.0s
% 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/GRP255-1+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 3 21)
% (binary-unit 12 #f)
% (binary-unit-uniteq 12 #f)
% (binary-posweight-kb-big-order 60 #f 3 21)
% (binary-posweight-lex-big-order 30 #f 3 21)
% (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(X,sk_c8),sk_c7) | -equal(inverse(X),sk_c8) | -equal(multiply(Y,sk_c7),sk_c6) | -equal(inverse(Y),sk_c7) | -equal(inverse(Z),sk_c6) | -equal(multiply(Z,sk_c8),sk_c6) | -equal(multiply(sk_c7,sk_c8),sk_c6) | -equal(inverse(U),sk_c8) | -equal(multiply(U,sk_c7),sk_c8) | -equal(inverse(V),sk_c7) | -equal(multiply(V,sk_c6),sk_c7).
% was split for some strategies as:
% -equal(inverse(V),sk_c7) | -equal(multiply(V,sk_c6),sk_c7).
% -equal(inverse(U),sk_c8) | -equal(multiply(U,sk_c7),sk_c8).
% -equal(inverse(Z),sk_c6) | -equal(multiply(Z,sk_c8),sk_c6).
% -equal(multiply(Y,sk_c7),sk_c6) | -equal(inverse(Y),sk_c7).
% -equal(multiply(X,sk_c8),sk_c7) | -equal(inverse(X),sk_c8).
% -equal(multiply(sk_c7,sk_c8),sk_c6).
%
% ********* EMPTY CLAUSE DERIVED *********
%
% **** EMPTY CLAUSE DERIVED ****
% By given clause simplification.
%
%
% timer checkpoints: c(35,40,0,76,0,0,62298,50,1003,62298,40,1003,62339,0,1003,73436,3,1304,74119,4,1454,74790,5,1604,74791,1,1604,74791,50,1604,74791,40,1604,74832,0,1604,75004,3,1910,75013,4,2065,75020,5,2205,75020,1,2205,75020,50,2205,75020,40,2205,75061,0,2205,95280,3,3706,96572,4,4456,97457,5,5206,97458,1,5206,97458,50,5207,97458,40,5207,97499,0,5207,110754,3,5958,111849,4,6333,112784,1,6708,112784,50,6708,112784,40,6708,112825,0,6708)
%
%
% START OF PROOF
% 89382 [?] ?
% 94324 [?] ?
% 94587 [?] ?
% 112785 [] equal(X,X).
% 112786 [] equal(multiply(identity,X),X).
% 112787 [] equal(multiply(inverse(X),X),identity).
% 112788 [] equal(multiply(multiply(X,Y),Z),multiply(X,multiply(Y,Z))).
% 112790 [] equal(multiply(sk_c3,sk_c8),sk_c6) | equal(multiply(sk_c5,sk_c6),sk_c7).
% 112791 [] equal(multiply(sk_c3,sk_c8),sk_c6) | equal(inverse(sk_c5),sk_c7).
% 112792 [] equal(multiply(sk_c3,sk_c8),sk_c6) | equal(multiply(sk_c4,sk_c7),sk_c8).
% 112793 [] equal(multiply(sk_c3,sk_c8),sk_c6) | equal(inverse(sk_c4),sk_c8).
% 112794 [] equal(multiply(sk_c3,sk_c8),sk_c6) | equal(multiply(sk_c7,sk_c8),sk_c6).
% 112795 [] equal(multiply(sk_c5,sk_c6),sk_c7) | equal(inverse(sk_c3),sk_c6).
% 112796 [] equal(inverse(sk_c3),sk_c6) | equal(inverse(sk_c5),sk_c7).
% 112797 [] equal(multiply(sk_c4,sk_c7),sk_c8) | equal(inverse(sk_c3),sk_c6).
% 112798 [] equal(inverse(sk_c3),sk_c6) | equal(inverse(sk_c4),sk_c8).
% 112799 [] equal(multiply(sk_c7,sk_c8),sk_c6) | equal(inverse(sk_c3),sk_c6).
% 112800 [] equal(multiply(sk_c5,sk_c6),sk_c7) | equal(inverse(sk_c2),sk_c7).
% 112801 [] equal(inverse(sk_c2),sk_c7) | equal(inverse(sk_c5),sk_c7).
% 112802 [] equal(multiply(sk_c4,sk_c7),sk_c8) | equal(inverse(sk_c2),sk_c7).
% 112803 [] equal(inverse(sk_c2),sk_c7) | equal(inverse(sk_c4),sk_c8).
% 112804 [] equal(multiply(sk_c7,sk_c8),sk_c6) | equal(inverse(sk_c2),sk_c7).
% 112805 [] equal(multiply(sk_c2,sk_c7),sk_c6) | equal(multiply(sk_c5,sk_c6),sk_c7).
% 112806 [] equal(multiply(sk_c2,sk_c7),sk_c6) | equal(inverse(sk_c5),sk_c7).
% 112807 [] equal(multiply(sk_c2,sk_c7),sk_c6) | equal(multiply(sk_c4,sk_c7),sk_c8).
% 112808 [] equal(multiply(sk_c2,sk_c7),sk_c6) | equal(inverse(sk_c4),sk_c8).
% 112809 [] equal(multiply(sk_c2,sk_c7),sk_c6) | equal(multiply(sk_c7,sk_c8),sk_c6).
% 112810 [] equal(multiply(sk_c5,sk_c6),sk_c7) | equal(inverse(sk_c1),sk_c8).
% 112811 [] equal(inverse(sk_c1),sk_c8) | equal(inverse(sk_c5),sk_c7).
% 112812 [] equal(multiply(sk_c4,sk_c7),sk_c8) | equal(inverse(sk_c1),sk_c8).
% 112813 [] equal(inverse(sk_c1),sk_c8) | equal(inverse(sk_c4),sk_c8).
% 112814 [] equal(multiply(sk_c7,sk_c8),sk_c6) | equal(inverse(sk_c1),sk_c8).
% 112815 [] equal(multiply(sk_c1,sk_c8),sk_c7) | equal(multiply(sk_c5,sk_c6),sk_c7).
% 112816 [] equal(multiply(sk_c1,sk_c8),sk_c7) | equal(inverse(sk_c5),sk_c7).
% 112817 [] equal(multiply(sk_c1,sk_c8),sk_c7) | equal(multiply(sk_c4,sk_c7),sk_c8).
% 112818 [] equal(multiply(sk_c1,sk_c8),sk_c7) | equal(inverse(sk_c4),sk_c8).
% 112819 [] equal(multiply(sk_c1,sk_c8),sk_c7) | equal(multiply(sk_c7,sk_c8),sk_c6).
% 112820 [] -equal(multiply(sk_c7,sk_c8),sk_c6) | $spltprd0($spltcnst26) | -equal(multiply(X,sk_c6),sk_c7) | -equal(inverse(X),sk_c7).
% 112821 [] $spltprd0($spltcnst27) | -equal(multiply(X,sk_c7),sk_c8) | -equal(inverse(X),sk_c8).
% 112822 [] $spltprd0($spltcnst28) | -equal(multiply(X,sk_c8),sk_c6) | -equal(inverse(X),sk_c6).
% 112823 [] $spltprd0($spltcnst29) | -equal(multiply(X,sk_c7),sk_c6) | -equal(inverse(X),sk_c7).
% 112824 [] $spltprd0($spltcnst30) | -equal(multiply(X,sk_c8),sk_c7) | -equal(inverse(X),sk_c8).
% 112825 [] -$spltprd0($spltcnst27) | -$spltprd0($spltcnst26) | -$spltprd0($spltcnst28) | -$spltprd0($spltcnst30) | -$spltprd0($spltcnst29).
% 112931 [para:112813.2.1,112787.1.1.1] equal(multiply(sk_c8,sk_c4),identity) | equal(inverse(sk_c1),sk_c8).
% 112934 [para:112791.1.1,112788.1.1.1] equal(inverse(sk_c5),sk_c7) | equal(multiply(sk_c6,X),multiply(sk_c3,multiply(sk_c8,X))).
% 112937 [para:112793.1.1,112788.1.1.1] equal(inverse(sk_c4),sk_c8) | equal(multiply(sk_c6,X),multiply(sk_c3,multiply(sk_c8,X))).
% 112945 [para:112790.1.1,112788.1.1.1] equal(multiply(sk_c5,sk_c6),sk_c7) | equal(multiply(sk_c6,X),multiply(sk_c3,multiply(sk_c8,X))).
% 112963 [para:112792.1.1,112788.1.1.1] equal(multiply(sk_c4,sk_c7),sk_c8) | equal(multiply(sk_c6,X),multiply(sk_c3,multiply(sk_c8,X))).
% 112981 [para:112794.1.1,112788.1.1.1] equal(multiply(sk_c7,sk_c8),sk_c6) | equal(multiply(sk_c6,X),multiply(sk_c3,multiply(sk_c8,X))).
% 112984 [para:112818.2.1,112787.1.1.1] equal(multiply(sk_c8,sk_c4),identity) | equal(multiply(sk_c1,sk_c8),sk_c7).
% 113021 [para:112931.1.1,112788.1.1.1,demod:112786] equal(inverse(sk_c1),sk_c8) | equal(X,multiply(sk_c8,multiply(sk_c4,X))).
% 113027 [para:112815.1.1,112788.1.1.1] equal(multiply(sk_c5,sk_c6),sk_c7) | equal(multiply(sk_c7,X),multiply(sk_c1,multiply(sk_c8,X))).
% 113030 [para:112817.1.1,112788.1.1.1] equal(multiply(sk_c4,sk_c7),sk_c8) | equal(multiply(sk_c7,X),multiply(sk_c1,multiply(sk_c8,X))).
% 113033 [para:112819.1.1,112788.1.1.1] equal(multiply(sk_c7,sk_c8),sk_c6) | equal(multiply(sk_c7,X),multiply(sk_c1,multiply(sk_c8,X))).
% 113045 [para:112786.1.1,112820.3.1] -equal(multiply(sk_c7,sk_c8),sk_c6) | -equal(inverse(identity),sk_c7) | -equal(sk_c6,sk_c7) | $spltprd0($spltcnst26).
% 113050 [para:112796.2.1,112820.4.1,cut:112785,binarycut:112799,binarycut:112795] equal(inverse(sk_c3),sk_c6) | $spltprd0($spltcnst26).
% 113054 [para:112801.2.1,112820.4.1,cut:112785,binarycut:112804,binarycut:112800] equal(inverse(sk_c2),sk_c7) | $spltprd0($spltcnst26).
% 113058 [para:112811.2.1,112820.4.1,cut:112785,binarycut:112814,binarycut:112810] equal(inverse(sk_c1),sk_c8) | $spltprd0($spltcnst26).
% 113071 [para:112816.2.1,112820.4.1,cut:112785] -equal(multiply(sk_c7,sk_c8),sk_c6) | -equal(multiply(sk_c5,sk_c6),sk_c7) | equal(multiply(sk_c1,sk_c8),sk_c7) | $spltprd0($spltcnst26).
% 113093 [para:113050.1.1,112787.1.1.1] equal(multiply(sk_c6,sk_c3),identity) | $spltprd0($spltcnst26).
% 113097 [para:113054.1.1,112787.1.1.1] equal(multiply(sk_c7,sk_c2),identity) | $spltprd0($spltcnst26).
% 113105 [para:113093.1.1,112788.1.1.1,demod:112786] $spltprd0($spltcnst26) | equal(X,multiply(sk_c6,multiply(sk_c3,X))).
% 113108 [para:113097.1.1,112788.1.1.1,demod:112786] $spltprd0($spltcnst26) | equal(X,multiply(sk_c7,multiply(sk_c2,X))).
% 113118 [para:112798.2.1,112821.3.1,cut:112785,binarycut:112797] equal(inverse(sk_c3),sk_c6) | $spltprd0($spltcnst27).
% 113123 [para:112803.2.1,112821.3.1,cut:112785,binarycut:112802] equal(inverse(sk_c2),sk_c7) | $spltprd0($spltcnst27).
% 113128 [para:112813.2.1,112821.3.1,cut:112785,binarycut:112812] equal(inverse(sk_c1),sk_c8) | $spltprd0($spltcnst27).
% 113140 [para:112808.1.1,112821.2.1,cut:94587] -equal(inverse(sk_c2),sk_c8) | equal(inverse(sk_c4),sk_c8) | $spltprd0($spltcnst27).
% 113169 [para:113118.1.1,112787.1.1.1] equal(multiply(sk_c6,sk_c3),identity) | $spltprd0($spltcnst27).
% 113173 [para:113123.1.1,112787.1.1.1] equal(multiply(sk_c7,sk_c2),identity) | $spltprd0($spltcnst27).
% 113175 [para:113123.1.1,112821.3.1] -equal(multiply(sk_c2,sk_c7),sk_c8) | -equal(sk_c7,sk_c8) | $spltprd0($spltcnst27).
% 113179 [para:113128.1.1,112821.3.1,cut:112785] -equal(multiply(sk_c1,sk_c7),sk_c8) | $spltprd0($spltcnst27).
% 113184 [para:113169.1.1,112788.1.1.1,demod:112786] $spltprd0($spltcnst27) | equal(X,multiply(sk_c6,multiply(sk_c3,X))).
% 113187 [para:112786.1.1,112822.2.1,cut:94324,cut:89382] $spltprd0($spltcnst28).
% 113189 [binary:112825.3,113187] -$spltprd0($spltcnst30) | -$spltprd0($spltcnst29) | -$spltprd0($spltcnst26) | -$spltprd0($spltcnst27).
% 113192 [para:113173.1.1,112788.1.1.1,demod:112786] $spltprd0($spltcnst27) | equal(X,multiply(sk_c7,multiply(sk_c2,X))).
% 113205 [para:112801.1.1,112823.3.1,cut:112785,binarycut:112806] equal(inverse(sk_c5),sk_c7) | $spltprd0($spltcnst29).
% 113208 [para:112803.1.1,112823.3.1,cut:112785,binarycut:112808] equal(inverse(sk_c4),sk_c8) | $spltprd0($spltcnst29).
% 113219 [para:112800.2.1,112823.3.1,cut:112785,binarycut:112805] equal(multiply(sk_c5,sk_c6),sk_c7) | $spltprd0($spltcnst29).
% 113222 [para:112802.2.1,112823.3.1,cut:112785,binarycut:112807] equal(multiply(sk_c4,sk_c7),sk_c8) | $spltprd0($spltcnst29).
% 113224 [para:112804.2.1,112823.3.1,cut:112785,binarycut:112809] equal(multiply(sk_c7,sk_c8),sk_c6) | $spltprd0($spltcnst29).
% 113252 [para:113205.1.1,112787.1.1.1] equal(multiply(sk_c7,sk_c5),identity) | $spltprd0($spltcnst29).
% 113256 [para:113205.1.1,112823.3.1,cut:112785] -equal(multiply(sk_c5,sk_c7),sk_c6) | $spltprd0($spltcnst29).
% 113259 [para:113208.1.1,112787.1.1.1] equal(multiply(sk_c8,sk_c4),identity) | $spltprd0($spltcnst29).
% 113278 [para:112811.1.1,112824.3.1,cut:112785,binarycut:112816] equal(inverse(sk_c5),sk_c7) | $spltprd0($spltcnst30).
% 113281 [para:112813.1.1,112824.3.1,cut:112785,binarycut:112818] equal(inverse(sk_c4),sk_c8) | $spltprd0($spltcnst30).
% 113298 [para:112810.2.1,112824.3.1,cut:112785,binarycut:112815] equal(multiply(sk_c5,sk_c6),sk_c7) | $spltprd0($spltcnst30).
% 113300 [para:112812.2.1,112824.3.1,cut:112785,binarycut:112817] equal(multiply(sk_c4,sk_c7),sk_c8) | $spltprd0($spltcnst30).
% 113303 [para:112814.2.1,112824.3.1,cut:112785,binarycut:112819] equal(multiply(sk_c7,sk_c8),sk_c6) | $spltprd0($spltcnst30).
% 113332 [para:113278.1.1,112787.1.1.1] equal(multiply(sk_c7,sk_c5),identity) | $spltprd0($spltcnst30).
% 113336 [para:113278.1.1,112824.3.1] -equal(multiply(sk_c5,sk_c8),sk_c7) | -equal(sk_c7,sk_c8) | $spltprd0($spltcnst30).
% 113339 [para:113281.1.1,112787.1.1.1] equal(multiply(sk_c8,sk_c4),identity) | $spltprd0($spltcnst30).
% 113520 [para:113222.1.1,112788.1.1.1] $spltprd0($spltcnst29) | equal(multiply(sk_c8,X),multiply(sk_c4,multiply(sk_c7,X))).
% 113720 [para:113252.1.1,112788.1.1.1,demod:112786] $spltprd0($spltcnst29) | equal(X,multiply(sk_c7,multiply(sk_c5,X))).
% 113723 [para:113259.1.1,112788.1.1.1,demod:112786] $spltprd0($spltcnst29) | equal(X,multiply(sk_c8,multiply(sk_c4,X))).
% 113727 [para:113300.1.1,112788.1.1.1] $spltprd0($spltcnst30) | equal(multiply(sk_c8,X),multiply(sk_c4,multiply(sk_c7,X))).
% 113868 [para:113332.1.1,112788.1.1.1,demod:112786] $spltprd0($spltcnst30) | equal(X,multiply(sk_c7,multiply(sk_c5,X))).
% 113870 [para:113339.1.1,112788.1.1.1,demod:112786] $spltprd0($spltcnst30) | equal(X,multiply(sk_c8,multiply(sk_c4,X))).
% 113874 [binary:113050.2,113189.3] equal(inverse(sk_c3),sk_c6) | -$spltprd0($spltcnst27) | -$spltprd0($spltcnst29) | -$spltprd0($spltcnst30).
% 113875 [binary:113054.2,113189.3] equal(inverse(sk_c2),sk_c7) | -$spltprd0($spltcnst27) | -$spltprd0($spltcnst29) | -$spltprd0($spltcnst30).
% 113876 [binary:113058.2,113189.3] equal(inverse(sk_c1),sk_c8) | -$spltprd0($spltcnst27) | -$spltprd0($spltcnst29) | -$spltprd0($spltcnst30).
% 113964 [para:113219.1.1,113720.2.2.2] equal(sk_c6,multiply(sk_c7,sk_c7)) | $spltprd0($spltcnst29).
% 113980 [para:113222.1.1,113723.2.2.2] equal(sk_c7,multiply(sk_c8,sk_c8)) | $spltprd0($spltcnst29).
% 113996 [para:113298.1.1,113868.2.2.2] equal(sk_c6,multiply(sk_c7,sk_c7)) | $spltprd0($spltcnst30).
% 114007 [para:113300.1.1,113870.2.2.2] equal(sk_c7,multiply(sk_c8,sk_c8)) | $spltprd0($spltcnst30).
% 114613 [para:112803.1.1,113140.1.1] equal(inverse(sk_c4),sk_c8) | -equal(sk_c7,sk_c8) | $spltprd0($spltcnst27).
% 114621 [para:114613.1.1,112821.3.1,cut:112785] -equal(multiply(sk_c4,sk_c7),sk_c8) | -equal(sk_c7,sk_c8) | $spltprd0($spltcnst27).
% 114629 [binary:113118.2,113874.2] equal(inverse(sk_c3),sk_c6) | -$spltprd0($spltcnst30) | -$spltprd0($spltcnst29).
% 114648 [para:114629.1.1,112787.1.1.1] equal(multiply(sk_c6,sk_c3),identity) | -$spltprd0($spltcnst30) | -$spltprd0($spltcnst29).
% 114707 [binary:113123.2,113875.2] equal(inverse(sk_c2),sk_c7) | -$spltprd0($spltcnst30) | -$spltprd0($spltcnst29).
% 114726 [para:114707.1.1,112787.1.1.1] equal(multiply(sk_c7,sk_c2),identity) | -$spltprd0($spltcnst30) | -$spltprd0($spltcnst29).
% 114785 [binary:113128.2,113876.2] equal(inverse(sk_c1),sk_c8) | -$spltprd0($spltcnst30) | -$spltprd0($spltcnst29).
% 114804 [para:114785.1.1,112787.1.1.1] equal(multiply(sk_c8,sk_c1),identity) | -$spltprd0($spltcnst30) | -$spltprd0($spltcnst29).
% 115289 [para:112807.1.1,113175.1.1,cut:94587] equal(multiply(sk_c4,sk_c7),sk_c8) | -equal(sk_c7,sk_c8) | $spltprd0($spltcnst27).
% 115390 [para:115289.1.1,114621.1.1,cut:112785] -equal(sk_c7,sk_c8) | $spltprd0($spltcnst27).
% 115392 [binary:113189.4,115390.2] -equal(sk_c7,sk_c8) | -$spltprd0($spltcnst29) | -$spltprd0($spltcnst30) | -$spltprd0($spltcnst26).
% 115715 [para:112812.1.1,113021.2.2.2] equal(sk_c7,multiply(sk_c8,sk_c8)) | equal(inverse(sk_c1),sk_c8).
% 115747 [para:113224.1.1,113520.2.2.2] equal(multiply(sk_c8,sk_c8),multiply(sk_c4,sk_c6)) | $spltprd0($spltcnst29).
% 115752 [para:113964.1.2,113520.2.2.2] equal(multiply(sk_c8,sk_c7),multiply(sk_c4,sk_c6)) | $spltprd0($spltcnst29).
% 115758 [para:115747.1.1,113980.1.2] equal(sk_c7,multiply(sk_c4,sk_c6)) | $spltprd0($spltcnst29).
% 115776 [para:115758.1.2,113723.2.2.2] equal(sk_c6,multiply(sk_c8,sk_c7)) | $spltprd0($spltcnst29).
% 115859 [para:115752.1.1,115776.1.2] equal(sk_c6,multiply(sk_c4,sk_c6)) | $spltprd0($spltcnst29).
% 115878 [para:115859.1.2,115758.1.2] equal(sk_c7,sk_c6) | $spltprd0($spltcnst29).
% 115889 [?] ?
% 115891 [para:115878.1.2,113256.1.2,binarycut:115889] $spltprd0($spltcnst29).
% 115907 [binary:113189.2,115891] -$spltprd0($spltcnst26) | -$spltprd0($spltcnst27) | -$spltprd0($spltcnst30).
% 115909 [binary:114629.3,115891] equal(inverse(sk_c3),sk_c6) | -$spltprd0($spltcnst30).
% 115910 [binary:114648.3,115891] equal(multiply(sk_c6,sk_c3),identity) | -$spltprd0($spltcnst30).
% 115912 [binary:114707.3,115891] equal(inverse(sk_c2),sk_c7) | -$spltprd0($spltcnst30).
% 115913 [binary:114726.3,115891] equal(multiply(sk_c7,sk_c2),identity) | -$spltprd0($spltcnst30).
% 115915 [binary:114785.3,115891] equal(inverse(sk_c1),sk_c8) | -$spltprd0($spltcnst30).
% 115916 [binary:114804.3,115891] equal(multiply(sk_c8,sk_c1),identity) | -$spltprd0($spltcnst30).
% 115921 [binary:115392.2,115891] -equal(sk_c7,sk_c8) | -$spltprd0($spltcnst30) | -$spltprd0($spltcnst26).
% 115926 [binary:113179.2,115907.2] -equal(multiply(sk_c1,sk_c7),sk_c8) | -$spltprd0($spltcnst30) | -$spltprd0($spltcnst26).
% 115933 [binary:113105,115907,binarycut:113184] -$spltprd0($spltcnst30) | equal(X,multiply(sk_c6,multiply(sk_c3,X))).
% 115935 [binary:113108,115907,binarycut:113192] -$spltprd0($spltcnst30) | equal(X,multiply(sk_c7,multiply(sk_c2,X))).
% 116213 [para:113303.1.1,113727.2.2.2] equal(multiply(sk_c8,sk_c8),multiply(sk_c4,sk_c6)) | $spltprd0($spltcnst30).
% 116216 [para:113996.1.2,113727.2.2.2] equal(multiply(sk_c8,sk_c7),multiply(sk_c4,sk_c6)) | $spltprd0($spltcnst30).
% 116224 [para:116213.1.1,114007.1.2] equal(sk_c7,multiply(sk_c4,sk_c6)) | $spltprd0($spltcnst30).
% 116241 [para:112934.1.1,112820.4.1,cut:112785,binarycut:112981,binarycut:112945] $spltprd0($spltcnst26) | equal(multiply(sk_c6,X),multiply(sk_c3,multiply(sk_c8,X))).
% 116254 [para:116224.1.2,113870.2.2.2] equal(sk_c6,multiply(sk_c8,sk_c7)) | $spltprd0($spltcnst30).
% 116313 [para:116216.1.1,116254.1.2] equal(sk_c6,multiply(sk_c4,sk_c6)) | $spltprd0($spltcnst30).
% 116330 [para:116313.1.2,116224.1.2] equal(sk_c7,sk_c6) | $spltprd0($spltcnst30).
% 116335 [para:112937.1.1,112821.3.1,cut:112785,binarycut:112963] $spltprd0($spltcnst27) | equal(multiply(sk_c6,X),multiply(sk_c3,multiply(sk_c8,X))).
% 116360 [para:116330.1.2,113298.1.1.2] equal(multiply(sk_c5,sk_c7),sk_c7) | $spltprd0($spltcnst30).
% 116376 [para:116330.1.2,116224.1.2.2] equal(sk_c7,multiply(sk_c4,sk_c7)) | $spltprd0($spltcnst30).
% 116487 [para:116376.1.2,113300.1.1] equal(sk_c7,sk_c8) | $spltprd0($spltcnst30).
% 116526 [para:116487.1.2,113336.1.1.2,binarycut:116360,binarycut:116487] $spltprd0($spltcnst30).
% 116539 [binary:115907.3,116526] -$spltprd0($spltcnst27) | -$spltprd0($spltcnst26).
% 116540 [binary:115909.2,116526] equal(inverse(sk_c3),sk_c6).
% 116543 [binary:115910.2,116526] equal(multiply(sk_c6,sk_c3),identity).
% 116546 [binary:115921.2,116526] -equal(sk_c7,sk_c8) | -$spltprd0($spltcnst26).
% 116547 [binary:115933,116526] equal(X,multiply(sk_c6,multiply(sk_c3,X))).
% 116548 [binary:115935,116526] equal(X,multiply(sk_c7,multiply(sk_c2,X))).
% 116551 [binary:115926.2,116526] -equal(multiply(sk_c1,sk_c7),sk_c8) | -$spltprd0($spltcnst26).
% 116583 [para:112794.1.1,116547.1.2.2] equal(sk_c8,multiply(sk_c6,sk_c6)) | equal(multiply(sk_c7,sk_c8),sk_c6).
% 116587 [para:112809.1.1,116548.1.2.2] equal(sk_c7,multiply(sk_c7,sk_c6)) | equal(multiply(sk_c7,sk_c8),sk_c6).
% 117026 [binary:116539.2,116241,binarycut:116335] equal(multiply(sk_c6,X),multiply(sk_c3,multiply(sk_c8,X))).
% 117040 [para:115916.1.1,117026.1.2.2,cut:116526] equal(multiply(sk_c6,sk_c1),multiply(sk_c3,identity)).
% 117041 [para:117026.1.2,115933.2.2.2,cut:116526] equal(multiply(sk_c8,X),multiply(sk_c6,multiply(sk_c6,X))).
% 117072 [para:115910.1.1,117041.1.2.2,cut:116526] equal(multiply(sk_c8,sk_c3),multiply(sk_c6,identity)).
% 117099 [para:117072.1.1,117026.1.2.2,demod:116543] equal(identity,multiply(sk_c3,multiply(sk_c6,identity))).
% 117100 [para:117099.1.2,112788.1.1.1,demod:112788,112786] equal(X,multiply(sk_c3,multiply(sk_c6,X))).
% 117107 [para:115910.1.1,117100.1.2.2,demod:117040,cut:116526] equal(sk_c3,multiply(sk_c6,sk_c1)).
% 117116 [para:117107.1.2,117100.1.2.2] equal(sk_c1,multiply(sk_c3,sk_c3)).
% 117257 [para:117116.1.2,112788.1.1.1] equal(multiply(sk_c1,X),multiply(sk_c3,multiply(sk_c3,X))).
% 117304 [para:117026.1.2,117257.1.2.2,demod:117100] equal(multiply(sk_c1,multiply(sk_c8,X)),X).
% 117305 [para:117040.1.2,117257.1.2.2,demod:117116,117107] equal(multiply(sk_c1,identity),sk_c1).
% 117311 [para:112984.1.1,117304.1.1.2,demod:117305] equal(multiply(sk_c1,sk_c8),sk_c7) | equal(sk_c1,sk_c4).
% 117317 [para:113027.1.1,117304.2.2] equal(multiply(sk_c5,sk_c6),sk_c7) | equal(multiply(sk_c7,X),X).
% 117318 [para:113030.1.1,117304.2.2] equal(multiply(sk_c4,sk_c7),sk_c8) | equal(multiply(sk_c7,X),X).
% 117319 [para:113033.1.1,117304.2.2] equal(multiply(sk_c7,sk_c8),sk_c6) | equal(multiply(sk_c7,X),X).
% 117350 [para:117311.1.1,112788.1.1.1,demod:117304] equal(sk_c1,sk_c4) | equal(multiply(sk_c7,X),X).
% 117392 [para:117350.1.1,116551.1.1.1,binarycut:117318] -$spltprd0($spltcnst26) | equal(multiply(sk_c7,X),X).
% 118843 [para:113071.3.1,112788.1.1.1,demod:117304,binarycut:117319,binarycut:117317,binarycut:117392] equal(multiply(sk_c7,X),X).
% 118912 [para:118843.1.1,115913.1.1,cut:116526] equal(sk_c2,identity).
% 118930 [para:118843.1.1,116587.1.2,demod:118843] equal(sk_c7,sk_c6) | equal(sk_c8,sk_c6).
% 118942 [para:118912.1.1,115912.1.1.1,cut:116526] equal(inverse(identity),sk_c7).
% 119118 [para:118930.1.2,116583.1.2.1,demod:118843] equal(sk_c8,sk_c6).
% 119173 [para:119118.1.1,115916.1.1.1,demod:117107,cut:116526] equal(sk_c3,identity).
% 119190 [para:119118.1.1,117026.1.2.2.1,demod:117100] equal(multiply(sk_c6,X),X).
% 119193 [para:119118.1.1,117304.1.1.2.1,demod:119190] equal(multiply(sk_c1,X),X).
% 119200 [para:119173.1.1,115909.1.1.1,demod:118942,cut:116526] equal(sk_c7,sk_c6).
% 119208 [para:119173.1.1,117026.1.2.1,demod:112786,119190] equal(X,multiply(sk_c8,X)).
% 119209 [para:119173.1.1,117116.1.2.1,demod:112786] equal(sk_c1,sk_c3).
% 119225 [para:119209.1.1,115915.1.1.1,demod:116540,cut:116526] equal(sk_c6,sk_c8).
% 119242 [para:119225.1.2,116546.1.2,cut:119200] -$spltprd0($spltcnst26).
% 119254 [para:119193.1.1,117305.1.1] equal(identity,sk_c1).
% 119260 [para:115715.1.2,119254.2.1.1,demod:119208,118942] equal(sk_c7,sk_c8).
% 119263 [para:119260.1.2,119225.1.2] equal(sk_c6,sk_c7).
% 119264 [para:119118.1.1,113045.1.1.2,demod:118942,118843,cut:112785,cut:112785,cut:119263,cut:119242] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% using sos strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% using clause demodulation
% seconds given: 15
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 11434
% derived clauses: 1598959
% kept clauses: 44913
% kept size sum: 700605
% kept mid-nuclei: 60445
% kept new demods: 275
% forw unit-subs: 619121
% forw double-subs: 745650
% forw overdouble-subs: 50430
% backward subs: 4920
% fast unit cutoff: 8733
% full unit cutoff: 0
% dbl unit cutoff: 2317
% real runtime : 68.26
% process. runtime: 68.23
% specific non-discr-tree subsumption statistics:
% tried: 847107
% length fails: 125691
% strength fails: 126883
% predlist fails: 14025
% aux str. fails: 146867
% by-lit fails: 42588
% full subs tried: 206641
% full subs fail: 168414
%
% ; 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/GRP255-1+eq_r.in")
%
%------------------------------------------------------------------------------