TSTP Solution File: GRP243-1 by Gandalf---c-2.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP243-1 : 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 20.0s
% Output : Assurance 20.0s
% 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/GRP243-1+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 31)
% (binary-unit 12 #f)
% (binary-unit-uniteq 12 #f)
% (binary-posweight-kb-big-order 60 #f 3 31)
% (binary-posweight-lex-big-order 30 #f 3 31)
% (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_c12),sk_c11) | -equal(inverse(X),sk_c12) | -equal(multiply(Y,sk_c11),sk_c10) | -equal(inverse(Y),sk_c11) | -equal(inverse(Z),sk_c12) | -equal(multiply(Z,sk_c11),sk_c12) | -equal(multiply(U,V),sk_c11) | -equal(inverse(U),V) | -equal(multiply(V,sk_c10),sk_c11) | -equal(inverse(W),sk_c12) | -equal(multiply(W,sk_c11),sk_c12) | -equal(inverse(X1),sk_c11) | -equal(multiply(X1,sk_c10),sk_c11) | -equal(multiply(X2,X3),sk_c11) | -equal(inverse(X2),X3) | -equal(multiply(X3,sk_c10),sk_c11).
% was split for some strategies as:
% -equal(multiply(X2,X3),sk_c11) | -equal(inverse(X2),X3) | -equal(multiply(X3,sk_c10),sk_c11).
% -equal(inverse(X1),sk_c11) | -equal(multiply(X1,sk_c10),sk_c11).
% -equal(inverse(W),sk_c12) | -equal(multiply(W,sk_c11),sk_c12).
% -equal(multiply(U,V),sk_c11) | -equal(inverse(U),V) | -equal(multiply(V,sk_c10),sk_c11).
% -equal(inverse(Z),sk_c12) | -equal(multiply(Z,sk_c11),sk_c12).
% -equal(multiply(Y,sk_c11),sk_c10) | -equal(inverse(Y),sk_c11).
% -equal(multiply(X,sk_c12),sk_c11) | -equal(inverse(X),sk_c12).
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(68,40,2,144,0,2,218235,5,1503,218235,1,1503,218235,50,1503,218235,40,1503,218311,0,1503,231529,3,1804,232146,4,1954,232680,1,2104,232680,50,2104,232680,40,2104,232756,0,2104,233242,3,2405,233258,4,2562,233312,5,2705,233312,1,2705,233312,50,2705,233312,40,2705,233388,0,2705)
%
%
% START OF PROOF
% 232988 [?] ?
% 233313 [] equal(X,X).
% 233314 [] equal(multiply(identity,X),X).
% 233315 [] equal(multiply(inverse(X),X),identity).
% 233316 [] equal(multiply(multiply(X,Y),Z),multiply(X,multiply(Y,Z))).
% 233319 [] equal(multiply(sk_c5,sk_c10),sk_c11) | equal(inverse(sk_c8),sk_c9).
% 233320 [] equal(multiply(sk_c5,sk_c10),sk_c11) | equal(multiply(sk_c8,sk_c9),sk_c11).
% 233321 [] equal(multiply(sk_c5,sk_c10),sk_c11) | equal(multiply(sk_c7,sk_c10),sk_c11).
% 233322 [] equal(multiply(sk_c5,sk_c10),sk_c11) | equal(inverse(sk_c7),sk_c11).
% 233325 [] equal(multiply(sk_c9,sk_c10),sk_c11) | equal(inverse(sk_c4),sk_c5).
% 233326 [] equal(inverse(sk_c4),sk_c5) | equal(inverse(sk_c8),sk_c9).
% 233327 [] equal(multiply(sk_c8,sk_c9),sk_c11) | equal(inverse(sk_c4),sk_c5).
% 233328 [] equal(multiply(sk_c7,sk_c10),sk_c11) | equal(inverse(sk_c4),sk_c5).
% 233329 [] equal(inverse(sk_c4),sk_c5) | equal(inverse(sk_c7),sk_c11).
% 233333 [] equal(multiply(sk_c4,sk_c5),sk_c11) | equal(inverse(sk_c8),sk_c9).
% 233334 [] equal(multiply(sk_c4,sk_c5),sk_c11) | equal(multiply(sk_c8,sk_c9),sk_c11).
% 233335 [] equal(multiply(sk_c4,sk_c5),sk_c11) | equal(multiply(sk_c7,sk_c10),sk_c11).
% 233336 [] equal(multiply(sk_c4,sk_c5),sk_c11) | equal(inverse(sk_c7),sk_c11).
% 233344 [] equal(multiply(sk_c3,sk_c11),sk_c12) | equal(multiply(sk_c6,sk_c11),sk_c12).
% 233345 [] equal(multiply(sk_c3,sk_c11),sk_c12) | equal(inverse(sk_c6),sk_c12).
% 233351 [] equal(multiply(sk_c6,sk_c11),sk_c12) | equal(inverse(sk_c3),sk_c12).
% 233352 [] equal(inverse(sk_c3),sk_c12) | equal(inverse(sk_c6),sk_c12).
% 233354 [] equal(inverse(sk_c2),sk_c11) | equal(inverse(sk_c8),sk_c9).
% 233355 [] equal(multiply(sk_c8,sk_c9),sk_c11) | equal(inverse(sk_c2),sk_c11).
% 233356 [] equal(multiply(sk_c7,sk_c10),sk_c11) | equal(inverse(sk_c2),sk_c11).
% 233357 [] equal(inverse(sk_c2),sk_c11) | equal(inverse(sk_c7),sk_c11).
% 233361 [] equal(multiply(sk_c2,sk_c11),sk_c10) | equal(inverse(sk_c8),sk_c9).
% 233362 [] equal(multiply(sk_c2,sk_c11),sk_c10) | equal(multiply(sk_c8,sk_c9),sk_c11).
% 233363 [] equal(multiply(sk_c2,sk_c11),sk_c10) | equal(multiply(sk_c7,sk_c10),sk_c11).
% 233364 [] equal(multiply(sk_c2,sk_c11),sk_c10) | equal(inverse(sk_c7),sk_c11).
% 233368 [] equal(inverse(sk_c1),sk_c12) | equal(inverse(sk_c8),sk_c9).
% 233373 [] equal(inverse(sk_c1),sk_c12) | equal(inverse(sk_c6),sk_c12).
% 233375 [] equal(multiply(sk_c1,sk_c12),sk_c11) | equal(inverse(sk_c8),sk_c9).
% 233380 [] equal(multiply(sk_c1,sk_c12),sk_c11) | equal(inverse(sk_c6),sk_c12).
% 233381 [] $spltprd0($spltcnst22) | -equal(multiply(X,sk_c10),sk_c11) | -equal(multiply(Y,X),sk_c11) | -equal(inverse(Y),X).
% 233382 [] $spltprd0($spltcnst23) | -equal(multiply(X,sk_c10),sk_c11) | -equal(inverse(X),sk_c11).
% 233383 [] $spltprd0($spltcnst24) | -equal(multiply(X,sk_c11),sk_c12) | -equal(inverse(X),sk_c12).
% 233384 [] $spltprd0($spltcnst25) | -equal(multiply(X,sk_c10),sk_c11) | -equal(multiply(Y,X),sk_c11) | -equal(inverse(Y),X).
% 233385 [] $spltprd0($spltcnst26) | -equal(multiply(X,sk_c11),sk_c12) | -equal(inverse(X),sk_c12).
% 233386 [] $spltprd0($spltcnst27) | -equal(multiply(X,sk_c11),sk_c10) | -equal(inverse(X),sk_c11).
% 233387 [] $spltprd0($spltcnst28) | -equal(multiply(X,sk_c12),sk_c11) | -equal(inverse(X),sk_c12).
% 233388 [] -$spltprd0($spltcnst23) | -$spltprd0($spltcnst22) | -$spltprd0($spltcnst25) | -$spltprd0($spltcnst24) | -$spltprd0($spltcnst27) | -$spltprd0($spltcnst26) | -$spltprd0($spltcnst28).
% 233448 [para:233357.2.1,233315.1.1.1] equal(multiply(sk_c11,sk_c7),identity) | equal(inverse(sk_c2),sk_c11).
% 233614 [para:233319.1.1,233381.2.1,cut:233313] equal(inverse(sk_c8),sk_c9) | $spltprd0($spltcnst22) | -equal(multiply(X,sk_c5),sk_c11) | -equal(inverse(X),sk_c5).
% 233615 [para:233322.1.1,233381.2.1,cut:233313] equal(inverse(sk_c7),sk_c11) | $spltprd0($spltcnst22) | -equal(multiply(X,sk_c5),sk_c11) | -equal(inverse(X),sk_c5).
% 233617 [para:233325.1.1,233381.2.1,cut:233313] equal(inverse(sk_c4),sk_c5) | $spltprd0($spltcnst22) | -equal(multiply(X,sk_c9),sk_c11) | -equal(inverse(X),sk_c9).
% 233619 [para:233320.1.1,233381.2.1,cut:233313] equal(multiply(sk_c8,sk_c9),sk_c11) | $spltprd0($spltcnst22) | -equal(multiply(X,sk_c5),sk_c11) | -equal(inverse(X),sk_c5).
% 233620 [para:233321.1.1,233381.2.1,cut:233313] equal(multiply(sk_c7,sk_c10),sk_c11) | $spltprd0($spltcnst22) | -equal(multiply(X,sk_c5),sk_c11) | -equal(inverse(X),sk_c5).
% 233649 [para:233314.1.1,233382.2.1] -equal(inverse(identity),sk_c11) | -equal(sk_c10,sk_c11) | $spltprd0($spltcnst23).
% 233657 [para:233328.1.1,233382.2.1,cut:233313] -equal(inverse(sk_c7),sk_c11) | equal(inverse(sk_c4),sk_c5) | $spltprd0($spltcnst23).
% 233666 [para:233356.1.1,233382.2.1,cut:233313] -equal(inverse(sk_c7),sk_c11) | equal(inverse(sk_c2),sk_c11) | $spltprd0($spltcnst23).
% 233668 [para:233335.2.1,233382.2.1,cut:233313] equal(multiply(sk_c4,sk_c5),sk_c11) | -equal(inverse(sk_c7),sk_c11) | $spltprd0($spltcnst23).
% 233673 [para:233363.2.1,233382.2.1,cut:233313] equal(multiply(sk_c2,sk_c11),sk_c10) | -equal(inverse(sk_c7),sk_c11) | $spltprd0($spltcnst23).
% 233695 [para:233345.1.1,233383.2.1,cut:233313,binarycut:233352] equal(inverse(sk_c6),sk_c12) | $spltprd0($spltcnst24).
% 233699 [para:233351.1.1,233383.2.1,cut:233313,binarycut:233695] equal(inverse(sk_c3),sk_c12) | $spltprd0($spltcnst24).
% 233713 [para:233344.1.1,233383.2.1,cut:233313,binarycut:233699] equal(multiply(sk_c6,sk_c11),sk_c12) | $spltprd0($spltcnst24).
% 233786 [para:233345.1.1,233385.2.1,cut:233313,binarycut:233352] equal(inverse(sk_c6),sk_c12) | $spltprd0($spltcnst26).
% 233790 [para:233351.1.1,233385.2.1,cut:233313,binarycut:233786] equal(inverse(sk_c3),sk_c12) | $spltprd0($spltcnst26).
% 233804 [para:233344.1.1,233385.2.1,cut:233313,binarycut:233790] equal(multiply(sk_c6,sk_c11),sk_c12) | $spltprd0($spltcnst26).
% 233824 [para:233314.1.1,233386.2.1] -equal(inverse(identity),sk_c11) | -equal(sk_c11,sk_c10) | $spltprd0($spltcnst27).
% 233834 [para:233361.1.1,233386.2.1,cut:233313,binarycut:233354] equal(inverse(sk_c8),sk_c9) | $spltprd0($spltcnst27).
% 233836 [para:233364.1.1,233386.2.1,cut:233313,binarycut:233357] equal(inverse(sk_c7),sk_c11) | $spltprd0($spltcnst27).
% 233856 [para:233834.1.1,233315.1.1.1] equal(multiply(sk_c9,sk_c8),identity) | $spltprd0($spltcnst27).
% 233858 [para:233836.1.1,233315.1.1.1] equal(multiply(sk_c11,sk_c7),identity) | $spltprd0($spltcnst27).
% 233866 [para:233375.1.1,233387.2.1,cut:233313,binarycut:233368] equal(inverse(sk_c8),sk_c9) | $spltprd0($spltcnst28).
% 233870 [para:233380.1.1,233387.2.1,cut:233313,binarycut:233373] equal(inverse(sk_c6),sk_c12) | $spltprd0($spltcnst28).
% 233876 [para:233866.1.1,233315.1.1.1] equal(multiply(sk_c9,sk_c8),identity) | $spltprd0($spltcnst28).
% 233880 [para:233870.1.1,233315.1.1.1] equal(multiply(sk_c12,sk_c6),identity) | $spltprd0($spltcnst28).
% 233887 [para:233315.1.1,233316.1.1.1,demod:233314] equal(X,multiply(inverse(Y),multiply(Y,X))).
% 234022 [para:233713.1.1,233383.2.1,cut:233313,binarycut:233695] $spltprd0($spltcnst24).
% 234081 [para:233804.1.1,233385.2.1,cut:233313,binarycut:233786] $spltprd0($spltcnst26).
% 234098 [para:233314.1.1,233887.1.2.2] equal(X,multiply(inverse(identity),X)).
% 234258 [para:233856.1.1,233887.1.2.2] equal(sk_c8,multiply(inverse(sk_c9),identity)) | $spltprd0($spltcnst27).
% 234259 [para:233858.1.1,233887.1.2.2] equal(sk_c7,multiply(inverse(sk_c11),identity)) | $spltprd0($spltcnst27).
% 234261 [para:233876.1.1,233887.1.2.2] equal(sk_c8,multiply(inverse(sk_c9),identity)) | $spltprd0($spltcnst28).
% 234263 [para:233880.1.1,233887.1.2.2] equal(sk_c6,multiply(inverse(sk_c12),identity)) | $spltprd0($spltcnst28).
% 234274 [para:234258.1.2,233316.1.1.1,demod:233314] $spltprd0($spltcnst27) | equal(multiply(sk_c8,X),multiply(inverse(sk_c9),X)).
% 234276 [para:234259.1.2,233316.1.1.1,demod:233314] $spltprd0($spltcnst27) | equal(multiply(sk_c7,X),multiply(inverse(sk_c11),X)).
% 234281 [para:234261.1.2,233316.1.1.1,demod:233314] $spltprd0($spltcnst28) | equal(multiply(sk_c8,X),multiply(inverse(sk_c9),X)).
% 234285 [para:234263.1.2,233316.1.1.1,demod:233314] $spltprd0($spltcnst28) | equal(multiply(sk_c6,X),multiply(inverse(sk_c12),X)).
% 234358 [para:234274.2.2,233315.1.1] equal(multiply(sk_c8,sk_c9),identity) | $spltprd0($spltcnst27).
% 234375 [para:234358.1.1,233355.1.1] equal(inverse(sk_c2),sk_c11) | equal(identity,sk_c11) | $spltprd0($spltcnst27).
% 234465 [para:234375.2.2,233448.1.1.1,demod:233314] equal(inverse(sk_c2),sk_c11) | equal(sk_c7,identity) | $spltprd0($spltcnst27).
% 234477 [para:234375.2.2,233824.1.2,cut:232988] equal(inverse(sk_c2),sk_c11) | -equal(sk_c11,sk_c10) | $spltprd0($spltcnst27).
% 234543 [para:234465.2.1,233356.1.1.1,demod:233314] equal(inverse(sk_c2),sk_c11) | equal(sk_c10,sk_c11) | $spltprd0($spltcnst27).
% 234689 [para:234543.2.1,234477.2.2,cut:233313] equal(inverse(sk_c2),sk_c11) | $spltprd0($spltcnst27).
% 234691 [para:234689.1.1,233315.1.1.1] equal(multiply(sk_c11,sk_c2),identity) | $spltprd0($spltcnst27).
% 234694 [para:234691.1.1,233887.1.2.2] equal(sk_c2,multiply(inverse(sk_c11),identity)) | $spltprd0($spltcnst27).
% 234697 [para:234694.1.2,233316.1.1.1,demod:233314] $spltprd0($spltcnst27) | equal(multiply(sk_c2,X),multiply(inverse(sk_c11),X)).
% 234793 [para:234276.2.2,233315.1.1] equal(multiply(sk_c7,sk_c11),identity) | $spltprd0($spltcnst27).
% 234807 [para:234793.1.1,233386.2.1,binarycut:233836] -equal(identity,sk_c10) | $spltprd0($spltcnst27).
% 235013 [para:234281.2.2,233315.1.1] equal(multiply(sk_c8,sk_c9),identity) | $spltprd0($spltcnst28).
% 235023 [para:235013.1.1,233327.1.1] equal(inverse(sk_c4),sk_c5) | equal(identity,sk_c11) | $spltprd0($spltcnst28).
% 235361 [para:234285.2.2,233315.1.1] equal(multiply(sk_c6,sk_c12),identity) | $spltprd0($spltcnst28).
% 235372 [para:235361.1.1,233387.2.1,binarycut:233870] -equal(identity,sk_c11) | $spltprd0($spltcnst28).
% 235376 [para:235023.2.2,235372.1.2,cut:233313] equal(inverse(sk_c4),sk_c5) | $spltprd0($spltcnst28).
% 235387 [para:235376.1.1,233315.1.1.1] equal(multiply(sk_c5,sk_c4),identity) | $spltprd0($spltcnst28).
% 235407 [para:235387.1.1,233887.1.2.2] equal(sk_c4,multiply(inverse(sk_c5),identity)) | $spltprd0($spltcnst28).
% 235448 [para:235407.1.2,233316.1.1.1,demod:233314] $spltprd0($spltcnst28) | equal(multiply(sk_c4,X),multiply(inverse(sk_c5),X)).
% 235787 [para:234697.2.2,233315.1.1] equal(multiply(sk_c2,sk_c11),identity) | $spltprd0($spltcnst27).
% 235802 [para:235787.1.1,233362.1.1,binarycut:234807] equal(multiply(sk_c8,sk_c9),sk_c11) | $spltprd0($spltcnst27).
% 235804 [para:235787.1.1,233363.1.1,binarycut:234807] equal(multiply(sk_c7,sk_c10),sk_c11) | $spltprd0($spltcnst27).
% 235828 [para:235802.1.1,234358.1.1] equal(sk_c11,identity) | $spltprd0($spltcnst27).
% 235852 [para:235828.1.1,233824.1.2,cut:232988] -equal(sk_c11,sk_c10) | $spltprd0($spltcnst27).
% 235858 [para:235828.1.1,234276.2.2.1.1,demod:234098] $spltprd0($spltcnst27) | equal(multiply(sk_c7,X),X).
% 235950 [para:235804.1.1,235858.2.1,binarycut:235852] $spltprd0($spltcnst27).
% 235988 [para:233333.1.1,233614.3.1,cut:233313,binarycut:233326] equal(inverse(sk_c8),sk_c9) | $spltprd0($spltcnst22).
% 235991 [para:235988.1.1,233887.1.2.1] $spltprd0($spltcnst22) | equal(X,multiply(sk_c9,multiply(sk_c8,X))).
% 235998 [para:233336.1.1,233615.3.1,cut:233313,binarycut:233329] equal(inverse(sk_c7),sk_c11) | $spltprd0($spltcnst22).
% 236000 [para:235998.1.1,233315.1.1.1] equal(multiply(sk_c11,sk_c7),identity) | $spltprd0($spltcnst22).
% 236001 [para:235998.1.1,233887.1.2.1] $spltprd0($spltcnst22) | equal(X,multiply(sk_c11,multiply(sk_c7,X))).
% 236024 [para:233327.1.1,233617.3.1,cut:233313,binarycut:235988] equal(inverse(sk_c4),sk_c5) | $spltprd0($spltcnst22).
% 236077 [para:233334.1.1,233619.3.1,cut:233313,binarycut:236024] equal(multiply(sk_c8,sk_c9),sk_c11) | $spltprd0($spltcnst22).
% 236085 [para:236077.1.1,235991.2.2.2] equal(sk_c9,multiply(sk_c9,sk_c11)) | $spltprd0($spltcnst22).
% 236089 [para:236085.1.2,233887.1.2.2,demod:233315] equal(sk_c11,identity) | $spltprd0($spltcnst22).
% 236133 [para:236089.1.1,236000.1.1.1,demod:233314] equal(sk_c7,identity) | $spltprd0($spltcnst22).
% 236140 [para:233335.1.1,233620.3.1,cut:233313,binarycut:236024] equal(multiply(sk_c7,sk_c10),sk_c11) | $spltprd0($spltcnst22).
% 236230 [para:236140.1.1,236001.2.2.2] equal(sk_c10,multiply(sk_c11,sk_c11)) | $spltprd0($spltcnst22).
% 236231 [para:236133.1.1,236140.1.1.1,demod:233314] equal(sk_c10,sk_c11) | $spltprd0($spltcnst22).
% 236268 [para:236089.1.1,236230.1.2.2] equal(sk_c10,multiply(sk_c11,identity)) | $spltprd0($spltcnst22).
% 236277 [para:236089.1.1,236268.1.2.1,demod:233314] equal(sk_c10,identity) | $spltprd0($spltcnst22).
% 236296 [?] ?
% 236309 [para:236277.1.1,236231.1.1,binarycut:236296] $spltprd0($spltcnst22).
% 236343 [para:235448.2.2,233315.1.1] equal(multiply(sk_c4,sk_c5),identity) | $spltprd0($spltcnst28).
% 236354 [para:236343.1.1,233334.1.1,binarycut:235372] equal(multiply(sk_c8,sk_c9),sk_c11) | $spltprd0($spltcnst28).
% 236374 [para:235013.1.1,236354.1.1,binarycut:235372] $spltprd0($spltcnst28).
% 236384 [para:233329.2.1,233657.1.1,cut:233313] equal(inverse(sk_c4),sk_c5) | $spltprd0($spltcnst23).
% 236386 [para:236384.1.1,233315.1.1.1] equal(multiply(sk_c5,sk_c4),identity) | $spltprd0($spltcnst23).
% 236393 [para:236386.1.1,233887.1.2.2] equal(sk_c4,multiply(inverse(sk_c5),identity)) | $spltprd0($spltcnst23).
% 236397 [para:236393.1.2,233316.1.1.1,demod:233314] $spltprd0($spltcnst23) | equal(multiply(sk_c4,X),multiply(inverse(sk_c5),X)).
% 236414 [para:236397.2.2,233315.1.1] equal(multiply(sk_c4,sk_c5),identity) | $spltprd0($spltcnst23).
% 236521 [para:233357.2.1,233666.1.1,cut:233313] equal(inverse(sk_c2),sk_c11) | $spltprd0($spltcnst23).
% 236523 [para:236521.1.1,233315.1.1.1] equal(multiply(sk_c11,sk_c2),identity) | $spltprd0($spltcnst23).
% 236545 [para:233336.2.1,233668.2.1,cut:233313] equal(multiply(sk_c4,sk_c5),sk_c11) | $spltprd0($spltcnst23).
% 236551 [para:236545.1.1,236414.1.1] equal(sk_c11,identity) | $spltprd0($spltcnst23).
% 236577 [para:236551.1.1,233649.1.2,cut:232988] -equal(sk_c10,sk_c11) | $spltprd0($spltcnst23).
% 236606 [para:236551.1.1,236523.1.1.1,demod:233314] equal(sk_c2,identity) | $spltprd0($spltcnst23).
% 236737 [para:233364.2.1,233673.2.1,cut:233313] equal(multiply(sk_c2,sk_c11),sk_c10) | $spltprd0($spltcnst23).
% 236794 [para:236606.1.1,236737.1.1.1,demod:233314] equal(sk_c11,sk_c10) | $spltprd0($spltcnst23).
% 236820 [para:236794.1.2,236577.1.1,cut:233313] $spltprd0($spltcnst23).
% 236821 [binary:233388,236820,cut:236309,cut:234022,cut:235950,cut:234081,cut:236374] -$spltprd0($spltcnst25).
% 236843 [para:233319.1.1,233384.2.1,cut:233313,cut:236821] equal(inverse(sk_c8),sk_c9) | -equal(multiply(X,sk_c5),sk_c11) | -equal(inverse(X),sk_c5).
% 236847 [para:233333.1.1,236843.2.1,cut:233313,binarycut:233326] equal(inverse(sk_c8),sk_c9).
% 236848 [para:236847.1.1,233315.1.1.1] equal(multiply(sk_c9,sk_c8),identity).
% 236850 [para:236848.1.1,233887.1.2.2] equal(sk_c8,multiply(inverse(sk_c9),identity)).
% 236851 [para:236850.1.2,233316.1.1.1,demod:233314] equal(multiply(sk_c8,X),multiply(inverse(sk_c9),X)).
% 236865 [para:236851.1.2,233315.1.1] equal(multiply(sk_c8,sk_c9),identity).
% 236935 [para:233322.1.1,233384.2.1,cut:233313,cut:236821] equal(inverse(sk_c7),sk_c11) | -equal(multiply(X,sk_c5),sk_c11) | -equal(inverse(X),sk_c5).
% 236939 [para:233336.1.1,236935.2.1,cut:233313,binarycut:233329] equal(inverse(sk_c7),sk_c11).
% 236940 [para:236939.1.1,233315.1.1.1] equal(multiply(sk_c11,sk_c7),identity).
% 236941 [para:236939.1.1,233887.1.2.1] equal(X,multiply(sk_c11,multiply(sk_c7,X))).
% 236994 [para:233325.1.1,233384.2.1,cut:233313,cut:236821] equal(inverse(sk_c4),sk_c5) | -equal(multiply(X,sk_c9),sk_c11) | -equal(inverse(X),sk_c9).
% 236997 [para:233327.1.1,236994.2.1,demod:236847,cut:233313,cut:233313] equal(inverse(sk_c4),sk_c5).
% 237052 [para:233320.1.1,233384.2.1,cut:233313,cut:236821] equal(multiply(sk_c8,sk_c9),sk_c11) | -equal(multiply(X,sk_c5),sk_c11) | -equal(inverse(X),sk_c5).
% 237055 [para:233334.1.1,237052.2.1,demod:236997,236865,cut:233313,cut:233313] equal(identity,sk_c11).
% 237105 [para:237055.1.2,236940.1.1.1,demod:233314] equal(sk_c7,identity).
% 237106 [para:237055.1.2,236941.1.2.1,demod:233314] equal(X,multiply(sk_c7,X)).
% 237118 [para:237105.1.1,236939.1.1.1] equal(inverse(identity),sk_c11).
% 237172 [para:233321.1.1,233384.2.1,cut:233313,cut:236821] equal(multiply(sk_c7,sk_c10),sk_c11) | -equal(multiply(X,sk_c5),sk_c11) | -equal(inverse(X),sk_c5).
% 237176 [para:233335.1.1,237172.2.1,demod:236997,237106,cut:233313,cut:233313] equal(sk_c10,sk_c11).
% 237192 [para:237176.1.1,233384.2.1.2,cut:236821,factor:cut:233313] -equal(inverse(sk_c11),sk_c11).
% 237204 [para:237055.1.2,237192.1.1.1,demod:237118,cut:233313] 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 31
% clause depth limited to 3
% seconds given: 30
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 3873
% derived clauses: 635004
% kept clauses: 14560
% kept size sum: 250150
% kept mid-nuclei: 217873
% kept new demods: 199
% forw unit-subs: 59433
% forw double-subs: 331628
% forw overdouble-subs: 5659
% backward subs: 910
% fast unit cutoff: 1426
% full unit cutoff: 0
% dbl unit cutoff: 237
% real runtime : 27.99
% process. runtime: 27.97
% specific non-discr-tree subsumption statistics:
% tried: 159642
% length fails: 13303
% strength fails: 49265
% predlist fails: 2299
% aux str. fails: 29986
% by-lit fails: 8518
% full subs tried: 48663
% full subs fail: 44307
%
% ; 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/GRP243-1+eq_r.in")
%
%------------------------------------------------------------------------------