TSTP Solution File: GRP060-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP060-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm : add_equality:r
% Format : otter:hypothesis:set(auto),clear(print_given)
% Command : gandalf-wrapper -time %d %s
% Computer : art08.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/GRP060-1+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 9 5)
% (binary-unit 12 #f)
% (binary-unit-uniteq 12 #f)
% (binary-posweight-kb-big-order 60 #f 9 5)
% (binary-posweight-lex-big-order 30 #f 9 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(3,40,1,6,0,1)
%
%
% START OF PROOF
% 4 [] equal(X,X).
% 5 [] equal(multiply(X,inverse(multiply(Y,multiply(Z,multiply(multiply(inverse(Z),inverse(multiply(U,Y))),X))))),U).
% 6 [] -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)).
% 8 [para:5.1.1,5.1.1.2.1.2.2.1] equal(multiply(X,inverse(multiply(multiply(Y,multiply(multiply(inverse(Y),inverse(multiply(Z,U))),inverse(V))),multiply(V,multiply(Z,X))))),U).
% 10 [para:8.1.1,5.1.1.2.1.2.2.1] equal(multiply(X,inverse(multiply(multiply(Y,multiply(Z,inverse(U))),multiply(U,multiply(V,X))))),multiply(W,multiply(multiply(inverse(W),inverse(multiply(Z,V))),inverse(Y)))).
% 11 [para:5.1.1,8.1.1.2.1.1.2.1.2.1] equal(multiply(X,inverse(multiply(multiply(Y,multiply(multiply(inverse(Y),inverse(Z)),inverse(U))),multiply(U,multiply(V,X))))),inverse(multiply(W,multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(Z,W))),V))))).
% 13 [para:8.1.1,8.1.1.2.1.1.2.1.2.1] equal(multiply(X,inverse(multiply(multiply(Y,multiply(multiply(inverse(Y),inverse(Z)),inverse(U))),multiply(U,multiply(V,X))))),inverse(multiply(multiply(W,multiply(multiply(inverse(W),inverse(multiply(X1,Z))),inverse(X2))),multiply(X2,multiply(X1,V))))).
% 15 [para:5.1.1,10.1.1.2.1.2.2] equal(multiply(inverse(multiply(X,multiply(Y,multiply(multiply(inverse(Y),inverse(multiply(Z,X))),U)))),inverse(multiply(multiply(V,multiply(W,inverse(X1))),multiply(X1,Z)))),multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(W,U))),inverse(V)))).
% 16 [para:10.1.1,8.1.1] equal(multiply(X,multiply(multiply(inverse(X),inverse(multiply(multiply(inverse(Y),inverse(multiply(Z,U))),Z))),inverse(Y))),U).
% 18 [para:10.1.1,10.1.1] equal(multiply(X,multiply(multiply(inverse(X),inverse(multiply(Y,Z))),inverse(U))),multiply(V,multiply(multiply(inverse(V),inverse(multiply(Y,Z))),inverse(U)))).
% 22 [para:5.1.1,16.1.1.2.1.2.1.1.2.1] equal(multiply(X,multiply(multiply(inverse(X),inverse(multiply(multiply(inverse(Y),inverse(Z)),U))),inverse(Y))),inverse(multiply(V,multiply(W,multiply(multiply(inverse(W),inverse(multiply(Z,V))),U))))).
% 23 [para:16.1.1,8.1.1.2.1.1.2.1.2.1] equal(multiply(X,inverse(multiply(multiply(Y,multiply(multiply(inverse(Y),inverse(Z)),inverse(U))),multiply(U,multiply(V,X))))),multiply(multiply(inverse(V),inverse(multiply(multiply(inverse(W),inverse(multiply(X1,Z))),X1))),inverse(W))).
% 33 [para:10.1.2,18.1.2] equal(multiply(X,multiply(multiply(inverse(X),inverse(multiply(Y,Z))),inverse(U))),multiply(V,inverse(multiply(multiply(U,multiply(Y,inverse(W))),multiply(W,multiply(Z,V)))))).
% 88 [para:22.1.2,5.1.1.2] equal(multiply(X,multiply(Y,multiply(multiply(inverse(Y),inverse(multiply(multiply(inverse(Z),inverse(U)),X))),inverse(Z)))),U).
% 90 [para:22.1.1,16.1.1] equal(inverse(multiply(X,multiply(Y,multiply(multiply(inverse(Y),inverse(multiply(multiply(Z,U),X))),Z)))),U).
% 95 [para:5.1.1,90.1.1.1.2.2.1] equal(inverse(multiply(multiply(X,multiply(multiply(inverse(X),inverse(multiply(Y,multiply(Z,U)))),inverse(V))),multiply(V,multiply(Y,Z)))),U).
% 97 [para:8.1.1,90.1.1.1.2.2.1] equal(inverse(multiply(multiply(X,multiply(Y,inverse(Z))),multiply(Z,multiply(U,V)))),multiply(multiply(inverse(V),inverse(multiply(Y,U))),inverse(X))).
% 100 [para:90.1.1,10.1.2.2.1.2,demod:90,97] equal(multiply(X,multiply(multiply(inverse(X),Y),inverse(Z))),multiply(U,multiply(multiply(inverse(U),Y),inverse(Z)))).
% 103 [para:90.1.1,16.1.1.2.1.2.1.1.1,demod:90] equal(multiply(X,multiply(multiply(inverse(X),inverse(multiply(multiply(Y,inverse(multiply(Z,U))),Z))),Y)),U).
% 132 [para:90.1.1,100.1.1.2.2,demod:90] equal(multiply(X,multiply(multiply(inverse(X),Y),Z)),multiply(U,multiply(multiply(inverse(U),Y),Z))).
% 180 [para:90.1.1,88.1.1.2.2.1.2.1.1.1,demod:90] equal(multiply(X,multiply(Y,multiply(multiply(inverse(Y),inverse(multiply(multiply(Z,inverse(U)),X))),Z))),U).
% 187 [para:5.1.1,180.1.1.2.2.1] equal(multiply(multiply(X,multiply(multiply(inverse(X),inverse(multiply(Y,multiply(Z,inverse(U))))),inverse(V))),multiply(V,multiply(Y,Z))),U).
% 213 [para:90.1.1,95.1.1.1.1.2.1.1,demod:90,97] equal(multiply(multiply(inverse(X),inverse(multiply(multiply(Y,inverse(multiply(Z,multiply(X,U)))),Z))),Y),U).
% 227 [para:90.1.1,213.1.1.1.2.1.1.2] equal(multiply(multiply(inverse(X),inverse(multiply(multiply(Y,Z),U))),Y),multiply(multiply(inverse(X),inverse(multiply(multiply(V,Z),U))),V)).
% 229 [para:213.1.1,180.1.1.2.2.1.2.1] equal(multiply(X,multiply(Y,multiply(multiply(inverse(Y),inverse(Z)),inverse(U)))),multiply(multiply(X,inverse(multiply(V,multiply(U,Z)))),V)).
% 247 [para:90.1.1,227.1.1.1.1,demod:90] equal(multiply(multiply(X,inverse(multiply(multiply(Y,Z),U))),Y),multiply(multiply(X,inverse(multiply(multiply(V,Z),U))),V)).
% 276 [para:229.1.1,5.1.1.2.1] equal(multiply(inverse(X),inverse(multiply(multiply(Y,inverse(multiply(Z,multiply(X,multiply(U,Y))))),Z))),U).
% 306 [para:229.1.1,180.1.1] equal(multiply(multiply(X,inverse(multiply(Y,multiply(Z,multiply(multiply(inverse(Z),inverse(U)),X))))),Y),U).
% 384 [para:103.1.1,306.1.1.1.2.1.2] equal(multiply(multiply(X,inverse(multiply(Y,Z))),Y),multiply(multiply(X,inverse(multiply(U,Z))),U)).
% 401 [para:384.1.1,5.1.1.2.1.2.2] equal(multiply(X,inverse(multiply(Y,multiply(Z,multiply(multiply(inverse(Z),inverse(multiply(U,Y))),U))))),X).
% 474 [para:401.1.1,132.1.1.2,demod:401] equal(multiply(X,multiply(inverse(X),Y)),multiply(Z,multiply(inverse(Z),Y))).
% 486 [para:401.1.1,384.1.1.1.2.1,demod:401] equal(multiply(multiply(X,inverse(Y)),Y),multiply(multiply(X,inverse(Z)),Z)).
% 538 [para:401.1.1,474.1.1.2,demod:401] equal(multiply(X,inverse(X)),multiply(Y,inverse(Y))).
% 683 [para:538.1.1,486.1.1.1] equal(multiply(multiply(X,inverse(X)),Y),multiply(multiply(Y,inverse(Z)),Z)).
% 733 [para:683.1.1,180.1.1.2.2.1.2.1] equal(multiply(X,multiply(Y,multiply(multiply(inverse(Y),inverse(multiply(multiply(X,inverse(Z)),Z))),U))),U).
% 805 [para:683.1.1,401.1.1.2.1.2.2.1.2.1,demod:733] equal(multiply(X,inverse(multiply(Y,inverse(Y)))),X).
% 874 [para:805.1.1,8.1.1.2.1.1.2.1,demod:97] equal(multiply(X,multiply(multiply(inverse(X),inverse(multiply(inverse(Y),Z))),inverse(Y))),inverse(Z)).
% 893 [para:805.1.1,103.1.1.2.1.2.1.1] equal(multiply(X,multiply(multiply(inverse(X),inverse(multiply(Y,Z))),Y)),inverse(Z)).
% 897 [para:805.1.1,11.1.2.1.2.2,demod:874,805,97] equal(inverse(inverse(X)),inverse(multiply(Y,multiply(Z,multiply(inverse(Z),inverse(multiply(X,Y))))))).
% 901 [para:805.1.1,180.1.1.2.2.1.2.1,demod:893] equal(multiply(inverse(multiply(X,inverse(X))),inverse(inverse(Y))),Y).
% 929 [para:805.1.1,384.1.1.1] equal(multiply(X,Y),multiply(multiply(X,inverse(multiply(Z,inverse(Y)))),Z)).
% 931 [para:805.1.1,401.1.1.2.1.2.2,demod:897] equal(multiply(X,inverse(inverse(inverse(multiply(Y,inverse(Y)))))),X).
% 1007 [para:901.1.1,8.1.1.2.1.1.2.1.2.1,demod:929,805,97] equal(multiply(X,multiply(inverse(X),Y)),inverse(inverse(Y))).
% 1018 [para:901.1.1,11.1.1.2.1.1.2.1,demod:1007,805,97] equal(inverse(inverse(inverse(multiply(X,Y)))),inverse(multiply(Z,multiply(U,multiply(multiply(inverse(U),inverse(multiply(inverse(X),Z))),Y))))).
% 1023 [para:901.1.1,180.1.1.2.2.1.2.1.1,demod:1007,805] equal(multiply(X,inverse(inverse(inverse(multiply(Y,X))))),inverse(Y)).
% 1028 [para:901.1.1,247.1.1.1.2.1.1,demod:805] equal(multiply(X,inverse(multiply(Y,Z))),multiply(multiply(X,inverse(multiply(multiply(U,inverse(inverse(Y))),Z))),U)).
% 1031 [para:901.1.1,13.1.1.2.1.1.2.1,demod:929,1007,805,97] equal(inverse(inverse(inverse(multiply(X,Y)))),multiply(multiply(inverse(Y),inverse(multiply(inverse(Z),X))),inverse(Z))).
% 1046 [para:1007.1.1,8.1.1.2.1.1.2.1.2.1,demod:1007,1028,97] equal(inverse(inverse(inverse(multiply(inverse(X),Y)))),multiply(inverse(Y),X)).
% 1049 [para:1007.1.1,10.1.1.2.1.1,demod:1023,1031] equal(multiply(X,inverse(multiply(inverse(inverse(inverse(Y))),multiply(Y,multiply(Z,X))))),inverse(Z)).
% 1091 [para:1007.1.1,13.1.2.1.2,demod:1023,1031,97] equal(multiply(X,multiply(multiply(inverse(X),inverse(multiply(multiply(inverse(Y),inverse(Z)),U))),inverse(Y))),inverse(multiply(inverse(Z),inverse(inverse(U))))).
% 1100 [para:1007.1.1,474.1.1.2,demod:1007] equal(multiply(X,inverse(inverse(Y))),inverse(inverse(multiply(inverse(inverse(X)),Y)))).
% 1133 [para:931.1.1,11.1.1.2.1.1.2.1,demod:1046,1018,1049,1007] equal(inverse(X),multiply(inverse(X),multiply(Y,inverse(Y)))).
% 1148 [para:931.1.1,13.1.1.2.1.1.2.1,demod:805,929,97,1049,1007] equal(inverse(X),multiply(multiply(inverse(X),inverse(inverse(Y))),inverse(Y))).
% 1188 [para:90.1.1,1133.1.2.1,demod:90] equal(X,multiply(X,multiply(Y,inverse(Y)))).
% 1194 [para:11.1.2,1133.1.2.1,demod:1133,1091,97] equal(inverse(multiply(X,multiply(Y,multiply(multiply(inverse(Y),inverse(multiply(Z,X))),U)))),inverse(multiply(inverse(Z),inverse(inverse(U))))).
% 1209 [para:1133.1.2,229.1.2.1.2.1,demod:1188,1148] equal(X,multiply(multiply(X,inverse(inverse(Y))),inverse(Y))).
% 1210 [para:1133.1.2,229.1.2.1.2.1.2,demod:929,1007,805] equal(multiply(X,inverse(inverse(inverse(inverse(Y))))),multiply(X,Y)).
% 1219 [para:1133.1.2,384.1.1.1.2.1,demod:1188,1209] equal(X,multiply(multiply(X,inverse(Y)),Y)).
% 1245 [para:1188.1.2,11.1.2.1.2.2.1.2.1,demod:1091,97] equal(inverse(multiply(inverse(X),inverse(inverse(Y)))),inverse(multiply(multiply(Z,inverse(Z)),multiply(U,multiply(multiply(inverse(U),inverse(X)),Y))))).
% 1258 [para:1188.1.2,187.1.1.2,demod:1210,1007] equal(multiply(multiply(X,multiply(multiply(inverse(X),Y),inverse(Z))),Z),Y).
% 1262 [para:1188.1.2,229.1.2.1.2.1.2,demod:1007,805] equal(multiply(X,inverse(inverse(inverse(Y)))),multiply(multiply(X,inverse(multiply(Z,Y))),Z)).
% 1264 [para:1188.1.2,13.1.1.2.1.2,demod:1100,1031,1262,97,1258] equal(multiply(inverse(X),inverse(inverse(Y))),inverse(multiply(inverse(Y),inverse(inverse(X))))).
% 1267 [para:1188.1.2,13.1.2.1.2,demod:1258,1264,1091,97] equal(multiply(inverse(inverse(X)),inverse(inverse(Y))),inverse(inverse(multiply(X,Y)))).
% 1270 [para:1188.1.2,276.1.1.2.1.1.2.1.2,demod:1267,1264,1262] equal(multiply(inverse(X),inverse(inverse(multiply(X,Y)))),Y).
% 1271 [para:1188.1.2,306.1.1,demod:1007,1264,1245] equal(inverse(inverse(inverse(inverse(X)))),X).
% 1276 [para:1188.1.2,683.1.2,demod:805] equal(multiply(multiply(X,inverse(X)),Y),Y).
% 1375 [para:1271.1.1,11.1.1.2.1.1.2.1.1,demod:1264,1194,1271,97] equal(multiply(X,multiply(multiply(inverse(X),inverse(multiply(multiply(Y,inverse(Z)),U))),Y)),multiply(inverse(U),inverse(inverse(Z)))).
% 1379 [para:11.1.2,1271.1.1.1.1.1,demod:1264,1091,97] equal(multiply(inverse(X),inverse(inverse(Y))),multiply(Z,multiply(U,multiply(multiply(inverse(U),inverse(multiply(X,Z))),Y)))).
% 1408 [para:1271.1.1,901.1.1.2] equal(multiply(inverse(multiply(X,inverse(X))),Y),inverse(inverse(Y))).
% 1413 [para:1219.1.2,5.1.1.2.1.2.2,demod:1188] equal(multiply(multiply(X,Y),inverse(Y)),X).
% 1415 [para:1219.1.2,8.1.1.2.1.1.2.1.2.1,demod:1270,1091,97] equal(inverse(inverse(X)),X).
% 1432 [para:1219.1.2,11.1.1.2.1.1.2,demod:1415,1379,1276] equal(multiply(X,inverse(multiply(Y,multiply(Z,X)))),inverse(multiply(Y,Z))).
% 1437 [para:1219.1.2,180.1.1.2.2.1.2.1.1,demod:1379,1415] equal(multiply(inverse(X),multiply(X,Y)),Y).
% 1461 [para:276.1.1,1219.1.2.1,demod:1432,1415,1262] equal(inverse(X),multiply(Y,inverse(multiply(X,Y)))).
% 1463 [para:1219.1.2,384.1.1.1,demod:1262,1415] equal(multiply(X,Y),multiply(multiply(X,multiply(Y,Z)),inverse(Z))).
% 1491 [para:90.1.1,1415.1.1.1,demod:1415,1379] equal(inverse(X),multiply(inverse(multiply(Y,X)),Y)).
% 1492 [para:1415.1.1,11.1.1.2.1.1.2.1.1,demod:1379,1375,1415,97] equal(multiply(inverse(X),Y),inverse(multiply(inverse(Y),X))).
% 1509 [para:1415.1.1,683.1.1.1.2,demod:1219] equal(multiply(multiply(inverse(X),X),Y),Y).
% 1521 [para:1276.1.1,10.1.1.2.1.1,demod:1415,1007,805] equal(multiply(X,inverse(multiply(multiply(Y,inverse(Z)),multiply(Z,multiply(U,X))))),inverse(multiply(Y,U))).
% 1522 [para:1276.1.1,10.1.1.2.1.1.2,demod:1276,1521] equal(inverse(multiply(X,Y)),multiply(Z,multiply(multiply(inverse(Z),inverse(Y)),inverse(X)))).
% 1523 [para:1276.1.1,10.1.1.2.1.2,demod:1522,1432,805] equal(inverse(multiply(multiply(X,Y),Z)),inverse(multiply(X,multiply(Y,Z)))).
% 1525 [para:1276.1.1,10.1.2,demod:1415,1408,1522,97] equal(inverse(multiply(X,multiply(Y,Z))),multiply(inverse(multiply(Y,Z)),inverse(X))).
% 1526 [para:10.1.1,1276.1.1,demod:1523,1188,1522] equal(inverse(multiply(X,multiply(Y,Z))),inverse(multiply(X,multiply(multiply(Y,inverse(U)),multiply(U,Z))))).
% 1527 [para:1276.1.1,33.1.2.2.1.2,demod:1523,805,1522] equal(inverse(multiply(X,multiply(Y,Z))),multiply(U,inverse(multiply(X,multiply(Y,multiply(Z,U)))))).
% 1537 [para:1276.1.1,11.1.1,demod:1415,1379,1492,1188,1522] equal(multiply(inverse(multiply(X,Y)),multiply(X,Z)),multiply(inverse(Y),Z)).
% 1538 [para:1276.1.1,11.1.1.2.1.1,demod:1415,1379,1492,1437,1523,1188,1525] equal(multiply(X,multiply(inverse(multiply(Y,X)),Z)),multiply(inverse(Y),Z)).
% 1541 [para:1276.1.1,132.1.1,demod:1415,1408] equal(multiply(X,Y),multiply(Z,multiply(multiply(inverse(Z),X),Y))).
% 1547 [para:1276.1.1,486.1.1.1,demod:1276] equal(multiply(inverse(X),X),multiply(inverse(Y),Y)).
% 1549 [para:1276.1.1,15.1.1.1.1.2.2.1.2.1,demod:1522,1219,1523,1188,1415,1007,1541] equal(multiply(inverse(X),inverse(multiply(Y,Z))),inverse(multiply(Y,multiply(Z,X)))).
% 1558 [para:1413.1.1,10.1.1.2.1.2.2,demod:1527,1525,1549,1526,1523] equal(inverse(multiply(X,multiply(multiply(Y,Z),U))),inverse(multiply(X,multiply(Y,multiply(Z,U))))).
% 1561 [para:1413.1.1,11.1.1.2.1.1.2,demod:1549,1538,1492,1276] equal(multiply(inverse(X),Y),inverse(multiply(Z,multiply(U,multiply(inverse(multiply(Y,multiply(Z,U))),X))))).
% 1562 [para:1413.1.1,11.1.1.2.1.2.2,demod:1561,1549,1492,1537,1522] equal(multiply(inverse(X),multiply(inverse(Y),Z)),multiply(inverse(multiply(Y,X)),Z)).
% 1573 [para:384.1.1,1413.1.1.1,demod:1415,1262] equal(multiply(multiply(X,inverse(Y)),inverse(Z)),multiply(X,inverse(multiply(Z,Y)))).
% 1581 [para:23.1.2,5.1.1.2.1.2.2.1.2.1,demod:1415,1491,1558,1562,1538,1492,1537,1432,1549,1573] equal(multiply(X,multiply(multiply(inverse(multiply(Y,X)),Z),U)),multiply(inverse(Y),multiply(Z,U))).
% 1583 [para:5.1.1,23.1.2.1.2.1.1.2.1,demod:1463,1523,1415,97,1581,1562,1492,1561,1549] equal(multiply(X,multiply(inverse(multiply(Y,multiply(Z,X))),U)),multiply(inverse(multiply(Y,Z)),U)).
% 1593 [para:10.1.2,23.1.1.2.1.2,demod:1463,1491,1437,1415,1558,1523,1527,1525,97,1432,1549,1573] equal(multiply(X,multiply(Y,multiply(Z,U))),multiply(multiply(X,multiply(Y,Z)),U)).
% 1601 [para:11.1.2,23.1.2.1.1,demod:1463,1415,1491,1581,1523,1492,1537,1538,1583,1432,1549,1573] equal(multiply(inverse(X),multiply(Y,Z)),multiply(multiply(inverse(X),Y),Z)).
% 1603 [para:23.1.2,180.1.1.2.2.1.2.1,demod:1491,1549,1461,1133,1538,1492,1537,1432,1525,1562,1601] equal(multiply(inverse(X),inverse(Y)),inverse(multiply(Y,X))).
% 1605 [para:229.1.1,23.1.1.2.1,demod:1463,1549,1437,1415,1491,1593,1432,1525,1603] equal(multiply(X,multiply(Y,Z)),multiply(multiply(X,Y),Z)).
% 1610 [hyper:6,1509,demod:1605,cut:4,cut:1547] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using hyperresolution
% not using sos strategy
% using positive unit paramodulation strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% clause length limited to 5
% clause depth limited to 9
% seconds given: 10
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 55
% derived clauses: 9554
% kept clauses: 1602
% kept size sum: 47420
% kept mid-nuclei: 0
% kept new demods: 607
% forw unit-subs: 3306
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 10
% fast unit cutoff: 1
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 0.43
% process. runtime: 0.41
% specific non-discr-tree subsumption statistics:
% tried: 0
% length fails: 0
% strength fails: 0
% 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/GRP060-1+eq_r.in")
%
%------------------------------------------------------------------------------