TSTP Solution File: GRP389-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP389-1 : 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 : 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 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/GRP389-1+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 29)
% (binary-unit 12 #f)
% (binary-unit-uniteq 12 #f)
% (binary-posweight-kb-big-order 60 #f 3 29)
% (binary-posweight-lex-big-order 30 #f 3 29)
% (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(inverse(sk_c10),sk_c9) | -equal(inverse(X),sk_c11) | -equal(multiply(X,sk_c10),sk_c11) | -equal(multiply(Y,Z),sk_c10) | -equal(inverse(Y),Z) | -equal(multiply(Z,sk_c9),sk_c10) | -equal(multiply(U,sk_c11),sk_c10) | -equal(inverse(U),sk_c11) | -equal(multiply(V,sk_c10),sk_c9) | -equal(inverse(V),sk_c10) | -equal(inverse(W),sk_c11) | -equal(multiply(W,sk_c10),sk_c11) | -equal(multiply(X1,X2),sk_c10) | -equal(inverse(X1),X2) | -equal(multiply(X2,sk_c9),sk_c10).
% was split for some strategies as:
% -equal(multiply(X1,X2),sk_c10) | -equal(inverse(X1),X2) | -equal(multiply(X2,sk_c9),sk_c10).
% -equal(inverse(W),sk_c11) | -equal(multiply(W,sk_c10),sk_c11).
% -equal(multiply(V,sk_c10),sk_c9) | -equal(inverse(V),sk_c10).
% -equal(multiply(U,sk_c11),sk_c10) | -equal(inverse(U),sk_c11).
% -equal(multiply(Y,Z),sk_c10) | -equal(inverse(Y),Z) | -equal(multiply(Z,sk_c9),sk_c10).
% -equal(inverse(X),sk_c11) | -equal(multiply(X,sk_c10),sk_c11).
% -equal(inverse(sk_c10),sk_c9).
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(59,40,0,125,0,0,180105,5,1501,180105,1,1501,180105,50,1501,180105,40,1501,180171,0,1501,193364,3,1802,193975,4,1952,194524,5,2102,194525,1,2102,194525,50,2103,194525,40,2103,194591,0,2103,194864,3,2412,194873,4,2555,194881,5,2704,194881,1,2704,194881,50,2704,194881,40,2704,194947,0,2704)
%
%
% START OF PROOF
% 194701 [?] ?
% 194882 [] equal(X,X).
% 194883 [] equal(multiply(identity,X),X).
% 194884 [] equal(multiply(inverse(X),X),identity).
% 194885 [] equal(multiply(multiply(X,Y),Z),multiply(X,multiply(Y,Z))).
% 194888 [] equal(multiply(sk_c3,sk_c9),sk_c10) | equal(inverse(sk_c7),sk_c8).
% 194889 [] equal(multiply(sk_c3,sk_c9),sk_c10) | equal(multiply(sk_c7,sk_c8),sk_c10).
% 194892 [] equal(multiply(sk_c3,sk_c9),sk_c10) | equal(inverse(sk_c5),sk_c10).
% 194893 [] equal(multiply(sk_c3,sk_c9),sk_c10) | equal(multiply(sk_c5,sk_c10),sk_c9).
% 194896 [] equal(multiply(sk_c8,sk_c9),sk_c10) | equal(inverse(sk_c2),sk_c3).
% 194897 [] equal(inverse(sk_c2),sk_c3) | equal(inverse(sk_c7),sk_c8).
% 194898 [] equal(multiply(sk_c7,sk_c8),sk_c10) | equal(inverse(sk_c2),sk_c3).
% 194901 [] equal(inverse(sk_c2),sk_c3) | equal(inverse(sk_c5),sk_c10).
% 194902 [] equal(multiply(sk_c5,sk_c10),sk_c9) | equal(inverse(sk_c2),sk_c3).
% 194903 [] equal(inverse(sk_c2),sk_c3) | equal(inverse(sk_c4),sk_c11).
% 194904 [] equal(multiply(sk_c4,sk_c11),sk_c10) | equal(inverse(sk_c2),sk_c3).
% 194906 [] equal(multiply(sk_c2,sk_c3),sk_c10) | equal(inverse(sk_c7),sk_c8).
% 194907 [] equal(multiply(sk_c2,sk_c3),sk_c10) | equal(multiply(sk_c7,sk_c8),sk_c10).
% 194910 [] equal(multiply(sk_c2,sk_c3),sk_c10) | equal(inverse(sk_c5),sk_c10).
% 194911 [] equal(multiply(sk_c2,sk_c3),sk_c10) | equal(multiply(sk_c5,sk_c10),sk_c9).
% 194912 [] equal(multiply(sk_c2,sk_c3),sk_c10) | equal(inverse(sk_c4),sk_c11).
% 194913 [] equal(multiply(sk_c2,sk_c3),sk_c10) | equal(multiply(sk_c4,sk_c11),sk_c10).
% 194917 [] equal(multiply(sk_c1,sk_c10),sk_c11) | equal(multiply(sk_c6,sk_c10),sk_c11).
% 194918 [] equal(multiply(sk_c1,sk_c10),sk_c11) | equal(inverse(sk_c6),sk_c11).
% 194926 [] equal(multiply(sk_c6,sk_c10),sk_c11) | equal(inverse(sk_c1),sk_c11).
% 194927 [] equal(inverse(sk_c1),sk_c11) | equal(inverse(sk_c6),sk_c11).
% 194930 [] equal(inverse(sk_c1),sk_c11) | equal(inverse(sk_c4),sk_c11).
% 194931 [] equal(multiply(sk_c4,sk_c11),sk_c10) | equal(inverse(sk_c1),sk_c11).
% 194932 [] equal(multiply(sk_c8,sk_c9),sk_c10) | equal(inverse(sk_c10),sk_c9).
% 194933 [] equal(inverse(sk_c10),sk_c9) | equal(inverse(sk_c7),sk_c8).
% 194934 [] equal(multiply(sk_c7,sk_c8),sk_c10) | equal(inverse(sk_c10),sk_c9).
% 194937 [] equal(inverse(sk_c10),sk_c9) | equal(inverse(sk_c5),sk_c10).
% 194938 [] equal(multiply(sk_c5,sk_c10),sk_c9) | equal(inverse(sk_c10),sk_c9).
% 194941 [] -equal(inverse(sk_c10),sk_c9) | $spltprd0($spltcnst19) | -equal(multiply(X,sk_c9),sk_c10) | -equal(multiply(Y,X),sk_c10) | -equal(inverse(Y),X).
% 194942 [] $spltprd0($spltcnst20) | -equal(multiply(X,sk_c10),sk_c11) | -equal(inverse(X),sk_c11).
% 194943 [] $spltprd0($spltcnst21) | -equal(multiply(X,sk_c10),sk_c9) | -equal(inverse(X),sk_c10).
% 194944 [] $spltprd0($spltcnst22) | -equal(multiply(X,sk_c11),sk_c10) | -equal(inverse(X),sk_c11).
% 194945 [] $spltprd0($spltcnst23) | -equal(multiply(X,sk_c9),sk_c10) | -equal(multiply(Y,X),sk_c10) | -equal(inverse(Y),X).
% 194946 [] $spltprd0($spltcnst24) | -equal(multiply(X,sk_c10),sk_c11) | -equal(inverse(X),sk_c11).
% 194947 [?] ?
% 194950 [input:194941,factor] -equal(multiply(sk_c9,sk_c9),sk_c10) | -equal(multiply(sk_c10,sk_c9),sk_c10) | -equal(inverse(sk_c10),sk_c9) | $spltprd0($spltcnst19).
% 194963 [para:194901.2.1,194884.1.1.1] equal(multiply(sk_c10,sk_c5),identity) | equal(inverse(sk_c2),sk_c3).
% 194982 [para:194933.2.1,194884.1.1.1] equal(multiply(sk_c8,sk_c7),identity) | equal(inverse(sk_c10),sk_c9).
% 194990 [para:194937.2.1,194884.1.1.1] equal(multiply(sk_c10,sk_c5),identity) | equal(inverse(sk_c10),sk_c9).
% 195049 [para:194934.2.1,194884.1.1.1] equal(multiply(sk_c9,sk_c10),identity) | equal(multiply(sk_c7,sk_c8),sk_c10).
% 195113 [para:194937.1.1,194941.1.1,cut:194882] equal(inverse(sk_c5),sk_c10) | $spltprd0($spltcnst19) | -equal(multiply(X,sk_c9),sk_c10) | -equal(multiply(Y,X),sk_c10) | -equal(inverse(Y),X).
% 195120 [para:194982.2.1,194941.1.1,cut:194882] equal(multiply(sk_c8,sk_c7),identity) | $spltprd0($spltcnst19) | -equal(multiply(X,sk_c9),sk_c10) | -equal(multiply(Y,X),sk_c10) | -equal(inverse(Y),X).
% 195122 [para:194990.2.1,194941.1.1,cut:194882] equal(multiply(sk_c10,sk_c5),identity) | $spltprd0($spltcnst19) | -equal(multiply(X,sk_c9),sk_c10) | -equal(multiply(Y,X),sk_c10) | -equal(inverse(Y),X).
% 195138 [para:194918.1.1,194942.2.1,cut:194882,binarycut:194927] equal(inverse(sk_c6),sk_c11) | $spltprd0($spltcnst20).
% 195145 [para:194926.1.1,194942.2.1,cut:194882,binarycut:195138] equal(inverse(sk_c1),sk_c11) | $spltprd0($spltcnst20).
% 195155 [para:194917.1.1,194942.2.1,cut:194882,binarycut:195145] equal(multiply(sk_c6,sk_c10),sk_c11) | $spltprd0($spltcnst20).
% 195173 [para:194883.1.1,194943.2.1] -equal(inverse(identity),sk_c10) | -equal(sk_c10,sk_c9) | $spltprd0($spltcnst21).
% 195174 [para:194884.1.1,194943.2.1] -equal(inverse(inverse(sk_c10)),sk_c10) | -equal(identity,sk_c9) | $spltprd0($spltcnst21).
% 195176 [para:194902.1.1,194943.2.1,cut:194882] -equal(inverse(sk_c5),sk_c10) | equal(inverse(sk_c2),sk_c3) | $spltprd0($spltcnst21).
% 195186 [para:194938.1.1,194943.2.1,cut:194882] -equal(inverse(sk_c5),sk_c10) | equal(inverse(sk_c10),sk_c9) | $spltprd0($spltcnst21).
% 195208 [para:195155.1.1,194942.2.1,cut:194882,binarycut:195138] $spltprd0($spltcnst20).
% 195212 [para:194904.1.1,194944.2.1,cut:194882] -equal(inverse(sk_c4),sk_c11) | equal(inverse(sk_c2),sk_c3) | $spltprd0($spltcnst22).
% 195214 [para:194931.1.1,194944.2.1,cut:194882] -equal(inverse(sk_c4),sk_c11) | equal(inverse(sk_c1),sk_c11) | $spltprd0($spltcnst22).
% 195223 [para:194888.1.1,194945.2.1,cut:194882] equal(inverse(sk_c7),sk_c8) | $spltprd0($spltcnst23) | -equal(multiply(X,sk_c3),sk_c10) | -equal(inverse(X),sk_c3).
% 195225 [para:194892.1.1,194945.2.1,cut:194882] equal(inverse(sk_c5),sk_c10) | $spltprd0($spltcnst23) | -equal(multiply(X,sk_c3),sk_c10) | -equal(inverse(X),sk_c3).
% 195227 [para:194896.1.1,194945.2.1,cut:194882] equal(inverse(sk_c2),sk_c3) | $spltprd0($spltcnst23) | -equal(multiply(X,sk_c8),sk_c10) | -equal(inverse(X),sk_c8).
% 195228 [para:194889.1.1,194945.2.1,cut:194882] equal(multiply(sk_c7,sk_c8),sk_c10) | $spltprd0($spltcnst23) | -equal(multiply(X,sk_c3),sk_c10) | -equal(inverse(X),sk_c3).
% 195230 [para:194893.1.1,194945.2.1,cut:194882] equal(multiply(sk_c5,sk_c10),sk_c9) | $spltprd0($spltcnst23) | -equal(multiply(X,sk_c3),sk_c10) | -equal(inverse(X),sk_c3).
% 195250 [para:194918.1.1,194946.2.1,cut:194882,binarycut:194927] equal(inverse(sk_c6),sk_c11) | $spltprd0($spltcnst24).
% 195257 [para:194926.1.1,194946.2.1,cut:194882,binarycut:195250] equal(inverse(sk_c1),sk_c11) | $spltprd0($spltcnst24).
% 195267 [para:194917.1.1,194946.2.1,cut:194882,binarycut:195257] equal(multiply(sk_c6,sk_c10),sk_c11) | $spltprd0($spltcnst24).
% 195282 [input:194947,cut:195208] -$spltprd0($spltcnst22) | -$spltprd0($spltcnst24) | -$spltprd0($spltcnst23) | -$spltprd0($spltcnst19) | -$spltprd0($spltcnst21).
% 195283 [para:194884.1.1,194885.1.1.1,demod:194883] equal(X,multiply(inverse(Y),multiply(Y,X))).
% 195397 [para:195267.1.1,194946.2.1,cut:194882,binarycut:195250] $spltprd0($spltcnst24).
% 195408 [para:194898.1.1,195283.1.2.2] equal(sk_c8,multiply(inverse(sk_c7),sk_c10)) | equal(inverse(sk_c2),sk_c3).
% 195417 [para:194906.1.1,195283.1.2.2] equal(sk_c3,multiply(inverse(sk_c2),sk_c10)) | equal(inverse(sk_c7),sk_c8).
% 195563 [para:194901.2.1,195176.1.1,cut:194882] equal(inverse(sk_c2),sk_c3) | $spltprd0($spltcnst21).
% 195565 [para:195563.1.1,194884.1.1.1] equal(multiply(sk_c3,sk_c2),identity) | $spltprd0($spltcnst21).
% 195568 [para:195565.1.1,195283.1.2.2] equal(sk_c2,multiply(inverse(sk_c3),identity)) | $spltprd0($spltcnst21).
% 195570 [para:195568.1.2,194885.1.1.1,demod:194883] $spltprd0($spltcnst21) | equal(multiply(sk_c2,X),multiply(inverse(sk_c3),X)).
% 195589 [para:195570.2.2,194884.1.1] equal(multiply(sk_c2,sk_c3),identity) | $spltprd0($spltcnst21).
% 195602 [para:195589.1.1,194910.1.1] equal(inverse(sk_c5),sk_c10) | equal(identity,sk_c10) | $spltprd0($spltcnst21).
% 195724 [para:195602.2.2,195173.1.2,cut:194701] equal(inverse(sk_c5),sk_c10) | -equal(sk_c10,sk_c9) | $spltprd0($spltcnst21).
% 195759 [para:195602.2.2,195724.2.1] equal(inverse(sk_c5),sk_c10) | -equal(identity,sk_c9) | $spltprd0($spltcnst21).
% 196071 [para:194937.2.1,195186.1.1,cut:194882] equal(inverse(sk_c10),sk_c9) | $spltprd0($spltcnst21).
% 196073 [para:196071.1.1,194884.1.1.1] equal(multiply(sk_c9,sk_c10),identity) | $spltprd0($spltcnst21).
% 196075 [para:196071.1.1,195283.1.2.1] $spltprd0($spltcnst21) | equal(X,multiply(sk_c9,multiply(sk_c10,X))).
% 196076 [para:196071.1.1,195174.1.1.1] -equal(inverse(sk_c9),sk_c10) | -equal(identity,sk_c9) | $spltprd0($spltcnst21).
% 196085 [para:196073.1.1,195283.1.2.2] equal(sk_c10,multiply(inverse(sk_c9),identity)) | $spltprd0($spltcnst21).
% 196087 [para:196085.1.2,194885.1.1.1,demod:194883] $spltprd0($spltcnst21) | equal(multiply(sk_c10,X),multiply(inverse(sk_c9),X)).
% 196106 [para:196087.2.2,194884.1.1] equal(multiply(sk_c10,sk_c9),identity) | $spltprd0($spltcnst21).
% 196110 [para:196087.2.2,195283.1.2] $spltprd0($spltcnst21) | equal(X,multiply(sk_c10,multiply(sk_c9,X))).
% 196119 [para:195602.2.2,196106.1.1.1,demod:194883] equal(inverse(sk_c5),sk_c10) | equal(sk_c9,identity) | $spltprd0($spltcnst21).
% 196121 [para:196106.1.1,196075.2.2.2] equal(sk_c9,multiply(sk_c9,identity)) | $spltprd0($spltcnst21).
% 196178 [para:196121.1.2,196110.2.2.2] equal(identity,multiply(sk_c10,sk_c9)) | $spltprd0($spltcnst21).
% 196399 [para:196119.2.1,195759.2.2,cut:194882] equal(inverse(sk_c5),sk_c10) | $spltprd0($spltcnst21).
% 196401 [para:196399.1.1,194884.1.1.1] equal(multiply(sk_c10,sk_c5),identity) | $spltprd0($spltcnst21).
% 196406 [para:196401.1.1,196075.2.2.2] equal(sk_c5,multiply(sk_c9,identity)) | $spltprd0($spltcnst21).
% 196410 [para:196406.1.2,196121.1.2] equal(sk_c9,sk_c5) | $spltprd0($spltcnst21).
% 196438 [para:196410.1.1,196073.1.1.1] equal(multiply(sk_c5,sk_c10),identity) | $spltprd0($spltcnst21).
% 196442 [para:196410.1.1,196076.1.1.1,binarycut:196399] -equal(identity,sk_c9) | $spltprd0($spltcnst21).
% 196465 [para:194911.1.1,196438.2.1,binarycut:196442] equal(multiply(sk_c2,sk_c3),sk_c10) | $spltprd0($spltcnst21).
% 196491 [para:196465.1.1,195589.1.1] equal(sk_c10,identity) | $spltprd0($spltcnst21).
% 196517 [para:196491.1.1,196178.1.2.1,demod:194883,binarycut:196442] $spltprd0($spltcnst21).
% 196603 [para:194903.2.1,195212.1.1,cut:194882] equal(inverse(sk_c2),sk_c3) | $spltprd0($spltcnst22).
% 196612 [para:196603.1.1,194884.1.1.1] equal(multiply(sk_c3,sk_c2),identity) | $spltprd0($spltcnst22).
% 196617 [para:196612.1.1,195283.1.2.2] equal(sk_c2,multiply(inverse(sk_c3),identity)) | $spltprd0($spltcnst22).
% 196628 [para:196617.1.2,194885.1.1.1,demod:194883] $spltprd0($spltcnst22) | equal(multiply(sk_c2,X),multiply(inverse(sk_c3),X)).
% 196653 [para:196628.2.2,194884.1.1] equal(multiply(sk_c2,sk_c3),identity) | $spltprd0($spltcnst22).
% 196677 [para:196653.1.1,194912.1.1] equal(inverse(sk_c4),sk_c11) | equal(identity,sk_c10) | $spltprd0($spltcnst22).
% 196890 [para:194930.2.1,195214.1.1,cut:194882] equal(inverse(sk_c1),sk_c11) | $spltprd0($spltcnst22).
% 196892 [para:196890.1.1,194884.1.1.1] equal(multiply(sk_c11,sk_c1),identity) | $spltprd0($spltcnst22).
% 196897 [para:196892.1.1,195283.1.2.2] equal(sk_c1,multiply(inverse(sk_c11),identity)) | $spltprd0($spltcnst22).
% 196901 [para:196897.1.2,194885.1.1.1,demod:194883] $spltprd0($spltcnst22) | equal(multiply(sk_c1,X),multiply(inverse(sk_c11),X)).
% 196919 [para:196901.2.2,194884.1.1] equal(multiply(sk_c1,sk_c11),identity) | $spltprd0($spltcnst22).
% 196942 [para:196919.1.1,194944.2.1,binarycut:196890] -equal(identity,sk_c10) | $spltprd0($spltcnst22).
% 196950 [para:196677.2.2,196942.1.2,cut:194882] equal(inverse(sk_c4),sk_c11) | $spltprd0($spltcnst22).
% 196964 [para:196950.1.1,194884.1.1.1] equal(multiply(sk_c11,sk_c4),identity) | $spltprd0($spltcnst22).
% 196985 [para:196964.1.1,195283.1.2.2] equal(sk_c4,multiply(inverse(sk_c11),identity)) | $spltprd0($spltcnst22).
% 197056 [para:196985.1.2,196897.1.2] equal(sk_c1,sk_c4) | $spltprd0($spltcnst22).
% 197068 [para:197056.1.1,196919.1.1.1] equal(multiply(sk_c4,sk_c11),identity) | $spltprd0($spltcnst22).
% 197104 [para:194913.1.1,197068.2.1,binarycut:196942] equal(multiply(sk_c2,sk_c3),sk_c10) | $spltprd0($spltcnst22).
% 197161 [para:196653.1.1,197104.1.1,binarycut:196942] $spltprd0($spltcnst22).
% 197162 [binary:195282,197161,cut:195397,cut:196517] -$spltprd0($spltcnst23) | -$spltprd0($spltcnst19).
% 197197 [para:194906.1.1,195223.3.1,cut:194882,binarycut:194897] equal(inverse(sk_c7),sk_c8) | $spltprd0($spltcnst23).
% 197229 [para:194910.1.1,195225.3.1,cut:194882,binarycut:194901] equal(inverse(sk_c5),sk_c10) | $spltprd0($spltcnst23).
% 197231 [para:197229.1.1,194884.1.1.1] equal(multiply(sk_c10,sk_c5),identity) | $spltprd0($spltcnst23).
% 197255 [para:194898.1.1,195227.3.1,cut:194882,binarycut:197197] equal(inverse(sk_c2),sk_c3) | $spltprd0($spltcnst23).
% 197266 [para:194907.1.1,195228.3.1,cut:194882,binarycut:197255] equal(multiply(sk_c7,sk_c8),sk_c10) | $spltprd0($spltcnst23).
% 197275 [para:197266.1.1,195283.1.2.2] equal(sk_c8,multiply(inverse(sk_c7),sk_c10)) | $spltprd0($spltcnst23).
% 197301 [para:194911.1.1,195230.3.1,cut:194882,binarycut:197255] equal(multiply(sk_c5,sk_c10),sk_c9) | $spltprd0($spltcnst23).
% 197378 [para:197197.1.1,197275.1.2.1] equal(sk_c8,multiply(sk_c8,sk_c10)) | $spltprd0($spltcnst23).
% 197381 [para:197378.1.2,195283.1.2.2,demod:194884] equal(sk_c10,identity) | $spltprd0($spltcnst23).
% 197412 [para:197381.1.1,197231.1.1.1,demod:194883] equal(sk_c5,identity) | $spltprd0($spltcnst23).
% 197432 [para:197412.1.1,197301.1.1.1,demod:194883] equal(sk_c10,sk_c9) | $spltprd0($spltcnst23).
% 197462 [para:197432.1.1,197381.1.1] equal(sk_c9,identity) | $spltprd0($spltcnst23).
% 197474 [para:197462.1.1,194945.2.1.2,factor:cut:194701] -equal(identity,sk_c10) | $spltprd0($spltcnst23).
% 197485 [para:197381.1.1,197474.1.2,cut:194882] $spltprd0($spltcnst23).
% 197486 [binary:197162,197485] -$spltprd0($spltcnst19).
% 197525 [para:194897.2.1,195408.1.2.1] equal(sk_c8,multiply(sk_c8,sk_c10)) | equal(inverse(sk_c2),sk_c3).
% 197531 [para:197525.1.2,195283.1.2.2,demod:194884] equal(inverse(sk_c2),sk_c3) | equal(sk_c10,identity).
% 197540 [para:197531.2.1,194963.1.1.1,demod:194883] equal(inverse(sk_c2),sk_c3) | equal(sk_c5,identity).
% 197553 [para:197540.2.1,194902.1.1.1,demod:194883] equal(inverse(sk_c2),sk_c3) | equal(sk_c10,sk_c9).
% 197574 [para:197553.2.1,197525.1.2.2] equal(sk_c8,multiply(sk_c8,sk_c9)) | equal(inverse(sk_c2),sk_c3).
% 197575 [para:197531.2.1,197553.2.1] equal(inverse(sk_c2),sk_c3) | equal(sk_c9,identity).
% 197583 [para:197575.2.1,194896.1.1.2] equal(multiply(sk_c8,identity),sk_c10) | equal(inverse(sk_c2),sk_c3).
% 197730 [para:197574.1.2,194896.1.1] equal(inverse(sk_c2),sk_c3) | equal(sk_c8,sk_c10).
% 197756 [para:197531.2.2,197730.2.1] equal(inverse(sk_c2),sk_c3) | equal(sk_c8,identity).
% 197917 [para:197756.2.1,197583.1.1.1,demod:194883] equal(inverse(sk_c2),sk_c3) | equal(identity,sk_c10).
% 197920 [para:197917.1.1,195283.1.2.1] equal(identity,sk_c10) | equal(X,multiply(sk_c3,multiply(sk_c2,X))).
% 198852 [para:194897.1.1,195417.1.2.1] equal(sk_c3,multiply(sk_c3,sk_c10)) | equal(inverse(sk_c7),sk_c8).
% 198857 [para:198852.1.2,195283.1.2.2,demod:194884] equal(inverse(sk_c7),sk_c8) | equal(sk_c10,identity).
% 198902 [para:198857.1.1,194884.1.1.1] equal(multiply(sk_c8,sk_c7),identity) | equal(sk_c10,identity).
% 198903 [para:198857.2.1,194933.1.1.1] equal(inverse(identity),sk_c9) | equal(inverse(sk_c7),sk_c8).
% 198933 [para:198903.1.1,195283.1.2.1,demod:194883] equal(inverse(sk_c7),sk_c8) | equal(X,multiply(sk_c9,X)).
% 198989 [para:198933.2.2,195283.1.2.2] equal(inverse(sk_c7),sk_c8) | equal(X,multiply(inverse(sk_c9),X)).
% 199108 [para:198989.2.2,194884.1.1] equal(inverse(sk_c7),sk_c8) | equal(sk_c9,identity).
% 199139 [para:199108.1.1,194884.1.1.1] equal(multiply(sk_c8,sk_c7),identity) | equal(sk_c9,identity).
% 199204 [para:199139.2.1,195120.3.1.2,cut:197486,factor:cut:194701] equal(multiply(sk_c8,sk_c7),identity) | -equal(identity,sk_c10).
% 199215 [para:198902.2.1,199204.2.2,cut:194882] equal(multiply(sk_c8,sk_c7),identity).
% 199216 [para:199215.1.1,194885.1.1.1,demod:194883] equal(X,multiply(sk_c8,multiply(sk_c7,X))).
% 199217 [para:199215.1.1,195283.1.2.2] equal(sk_c7,multiply(inverse(sk_c8),identity)).
% 199218 [para:199217.1.2,194885.1.1.1,demod:194883] equal(multiply(sk_c7,X),multiply(inverse(sk_c8),X)).
% 199243 [para:199218.1.2,194884.1.1] equal(multiply(sk_c7,sk_c8),identity).
% 199300 [para:199243.1.1,194934.1.1] equal(inverse(sk_c10),sk_c9) | equal(identity,sk_c10).
% 199301 [para:194934.1.1,199243.1.1] equal(inverse(sk_c10),sk_c9) | equal(sk_c10,identity).
% 199302 [para:194907.1.1,199243.2.1] equal(multiply(sk_c2,sk_c3),sk_c10) | equal(identity,sk_c10).
% 199310 [para:195049.2.1,199243.1.1] equal(multiply(sk_c9,sk_c10),identity) | equal(sk_c10,identity).
% 199313 [para:199243.1.1,199216.1.2.2] equal(sk_c8,multiply(sk_c8,identity)).
% 199390 [para:199300.2.2,194990.1.1.1,demod:194883] equal(inverse(sk_c10),sk_c9) | equal(sk_c5,identity).
% 199471 [para:199390.2.1,194938.1.1.1,demod:194883] equal(inverse(sk_c10),sk_c9) | equal(sk_c10,sk_c9).
% 199604 [para:199300.2.1,199471.2.2] equal(inverse(sk_c10),sk_c9) | equal(identity,sk_c9).
% 199632 [para:199604.2.2,194932.1.1.2,demod:199313] equal(inverse(sk_c10),sk_c9) | equal(sk_c8,sk_c10).
% 199722 [para:199300.2.2,199632.2.2] equal(inverse(sk_c10),sk_c9) | equal(identity,sk_c8).
% 199790 [para:199722.2.2,194932.1.1.1,demod:194883] equal(inverse(sk_c10),sk_c9) | equal(sk_c9,sk_c10).
% 200250 [para:197920.1.1,199302.2.2.2] equal(sk_c3,multiply(sk_c3,sk_c10)) | equal(identity,sk_c10).
% 201028 [para:200250.1.2,195283.1.2.2,demod:194884] equal(sk_c10,identity) | equal(identity,sk_c10).
% 201152 [para:194934.1.1,201028.2.1.1,demod:199243] equal(inverse(identity),sk_c9) | equal(identity,sk_c10).
% 201224 [para:201028.2.2,199301.1.1.1] equal(inverse(identity),sk_c9) | equal(sk_c10,identity).
% 201242 [para:201152.1.1,195283.1.2.1,demod:194883] equal(identity,sk_c10) | equal(X,multiply(sk_c9,X)).
% 201247 [para:201152.2.2,199390.1.1.1] equal(inverse(identity),sk_c9) | equal(sk_c5,identity).
% 201249 [para:201152.2.2,199471.1.1.1] equal(inverse(identity),sk_c9) | equal(sk_c10,sk_c9).
% 201258 [para:201152.2.2,199790.1.1.1] equal(inverse(identity),sk_c9) | equal(sk_c9,sk_c10).
% 201273 [para:201224.1.1,195283.1.2.1,demod:194883] equal(sk_c10,identity) | equal(X,multiply(sk_c9,X)).
% 201276 [para:201247.1.1,195283.1.2.1,demod:194883] equal(sk_c5,identity) | equal(X,multiply(sk_c9,X)).
% 201293 [para:201249.1.1,195283.1.2.1,demod:194883] equal(sk_c10,sk_c9) | equal(X,multiply(sk_c9,X)).
% 201520 [para:201242.2.2,195283.1.2.2] equal(identity,sk_c10) | equal(X,multiply(inverse(sk_c9),X)).
% 201585 [para:201273.2.2,199310.1.1] equal(sk_c10,identity).
% 201658 [para:201276.2.2,195283.1.2.2] equal(sk_c5,identity) | equal(X,multiply(inverse(sk_c9),X)).
% 201717 [para:201293.2.2,195283.1.2.2] equal(sk_c10,sk_c9) | equal(X,multiply(inverse(sk_c9),X)).
% 205705 [para:195283.1.2,201520.2.2] equal(identity,sk_c10) | equal(multiply(sk_c9,X),X).
% 205779 [para:195049.1.1,205705.2.1,demod:199243] equal(identity,sk_c10).
% 205827 [para:201658.2.2,194884.1.1] equal(sk_c9,identity) | equal(sk_c5,identity).
% 205883 [para:205827.1.1,195122.3.1.2,cut:197486,factor:cut:205779,cut:194701] equal(multiply(sk_c10,sk_c5),identity) | equal(sk_c5,identity).
% 206398 [para:201585.1.1,205883.1.1.1,demod:194883] equal(sk_c5,identity).
% 206482 [para:201717.2.2,194884.1.1] equal(sk_c9,identity) | equal(sk_c10,sk_c9).
% 206722 [para:206482.2.1,201585.1.1] equal(sk_c9,identity).
% 206745 [para:206722.1.1,195113.3.1.2,cut:197486,factor:cut:205779,cut:194701] equal(inverse(sk_c5),sk_c10).
% 206789 [para:206398.1.1,206745.1.1.1] equal(inverse(identity),sk_c10).
% 206843 [para:206789.1.1,195283.1.2.1,demod:194883] equal(X,multiply(sk_c10,X)).
% 206846 [para:206789.1.1,201249.1.1] equal(sk_c10,sk_c9).
% 206852 [para:201258.1.1,206789.1.1] equal(sk_c9,sk_c10).
% 206900 [para:201585.1.1,206846.1.1] equal(identity,sk_c9).
% 206930 [para:206900.1.2,194950.1.1.1,demod:206843,194883,cut:206852,cut:197486] -equal(inverse(sk_c10),sk_c9).
% 207018 [para:201585.1.1,206930.1.1.1,demod:206789,cut:206846] 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 kb ordering for equality
% preferring bigger arities for lex ordering
% using clause demodulation
% clause length limited to 29
% clause depth limited to 3
% seconds given: 30
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 4542
% derived clauses: 824218
% kept clauses: 22219
% kept size sum: 344311
% kept mid-nuclei: 113853
% kept new demods: 222
% forw unit-subs: 113469
% forw double-subs: 451963
% forw overdouble-subs: 31428
% backward subs: 1443
% fast unit cutoff: 6295
% full unit cutoff: 0
% dbl unit cutoff: 66172
% real runtime : 31.23
% process. runtime: 31.19
% specific non-discr-tree subsumption statistics:
% tried: 178915
% length fails: 20979
% strength fails: 24434
% predlist fails: 3660
% aux str. fails: 20306
% by-lit fails: 27951
% full subs tried: 33237
% full subs fail: 19297
%
% ; 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/GRP389-1+eq_r.in")
%
%------------------------------------------------------------------------------