TSTP Solution File: GRP057-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP057-1 : 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 : art03.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/GRP057-1+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(3,40,0,6,0,0)
%
%
% START OF PROOF
% 4 [] equal(X,X).
% 5 [] equal(multiply(X,inverse(multiply(multiply(inverse(multiply(inverse(Y),multiply(inverse(X),Z))),U),inverse(multiply(Y,U))))),Z).
% 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)).
% 7 [para:5.1.1,5.1.1.2.1.1.1.1.2] equal(multiply(X,inverse(multiply(multiply(inverse(multiply(inverse(Y),Z)),U),inverse(multiply(Y,U))))),inverse(multiply(multiply(inverse(multiply(inverse(V),multiply(inverse(inverse(X)),Z))),W),inverse(multiply(V,W))))).
% 9 [para:7.1.1,5.1.1] equal(inverse(multiply(multiply(inverse(multiply(inverse(X),multiply(inverse(inverse(Y)),multiply(inverse(Y),Z)))),U),inverse(multiply(X,U)))),Z).
% 10 [para:7.1.2,5.1.1.2] equal(multiply(inverse(X),multiply(X,inverse(multiply(multiply(inverse(multiply(inverse(Y),Z)),U),inverse(multiply(Y,U)))))),Z).
% 12 [para:7.1.2,7.1.2] equal(multiply(X,inverse(multiply(multiply(inverse(multiply(inverse(Y),Z)),U),inverse(multiply(Y,U))))),multiply(X,inverse(multiply(multiply(inverse(multiply(inverse(V),Z)),W),inverse(multiply(V,W)))))).
% 13 [para:10.1.1,5.1.1.2.1.1.1.1] equal(multiply(X,inverse(multiply(multiply(inverse(Y),Z),inverse(multiply(inverse(X),Z))))),inverse(multiply(multiply(inverse(multiply(inverse(U),Y)),V),inverse(multiply(U,V))))).
% 14 [para:5.1.1,10.1.1.2.2.1.1.1.1] equal(multiply(inverse(X),multiply(X,inverse(multiply(multiply(inverse(Y),Z),inverse(multiply(U,Z)))))),inverse(multiply(multiply(inverse(multiply(inverse(V),multiply(inverse(inverse(U)),Y))),W),inverse(multiply(V,W))))).
% 15 [para:10.1.1,7.1.2.1.1.1.1.2,demod:5] equal(inverse(multiply(multiply(inverse(multiply(inverse(X),Y)),Z),inverse(multiply(X,Z)))),inverse(multiply(multiply(inverse(multiply(inverse(U),Y)),V),inverse(multiply(U,V))))).
% 16 [para:10.1.1,10.1.1.2.2.1.1.1.1] equal(multiply(inverse(X),multiply(X,inverse(multiply(multiply(inverse(Y),Z),inverse(multiply(U,Z)))))),multiply(U,inverse(multiply(multiply(inverse(multiply(inverse(V),Y)),W),inverse(multiply(V,W)))))).
% 19 [para:9.1.1,10.1.1.2.2] equal(multiply(inverse(X),multiply(X,Y)),multiply(inverse(inverse(Z)),multiply(inverse(Z),Y))).
% 20 [para:10.1.1,9.1.1.1.1.1.1.2.2] equal(inverse(multiply(multiply(inverse(multiply(inverse(X),multiply(inverse(inverse(Y)),Z))),U),inverse(multiply(X,U)))),multiply(Y,inverse(multiply(multiply(inverse(multiply(inverse(V),Z)),W),inverse(multiply(V,W)))))).
% 21 [para:9.1.1,9.1.1.1.1.1.1.2.1.1,demod:9] equal(inverse(multiply(multiply(inverse(multiply(inverse(X),multiply(inverse(Y),multiply(Y,Z)))),U),inverse(multiply(X,U)))),Z).
% 23 [para:19.1.2,5.1.1.2.1.1.1.1] equal(multiply(X,inverse(multiply(multiply(inverse(multiply(inverse(Y),multiply(Y,Z))),U),inverse(multiply(inverse(X),U))))),Z).
% 36 [para:19.1.2,19.1.2] equal(multiply(inverse(X),multiply(X,Y)),multiply(inverse(Z),multiply(Z,Y))).
% 45 [para:36.1.1,36.1.1.2] equal(multiply(inverse(inverse(X)),multiply(inverse(Y),multiply(Y,Z))),multiply(inverse(U),multiply(U,multiply(X,Z)))).
% 54 [para:45.1.1,7.1.2.1.1.1.1,demod:5] equal(X,inverse(multiply(multiply(inverse(multiply(inverse(Y),multiply(Y,multiply(Z,X)))),U),inverse(multiply(inverse(Z),U))))).
% 171 [para:13.1.2,5.1.1.2] equal(multiply(X,multiply(Y,inverse(multiply(multiply(inverse(multiply(inverse(X),Z)),U),inverse(multiply(inverse(Y),U)))))),Z).
% 175 [para:13.1.2,10.1.1.2.2] equal(multiply(inverse(X),multiply(X,multiply(Y,inverse(multiply(multiply(inverse(Z),U),inverse(multiply(inverse(Y),U))))))),Z).
% 188 [para:13.1.1,45.1.2.2.2,demod:10] equal(multiply(inverse(inverse(X)),multiply(inverse(Y),multiply(Y,inverse(multiply(multiply(inverse(Z),U),inverse(multiply(inverse(X),U))))))),Z).
% 242 [para:21.1.1,188.1.1.1.1,demod:21] equal(multiply(inverse(X),multiply(inverse(Y),multiply(Y,inverse(multiply(multiply(inverse(Z),U),inverse(multiply(X,U))))))),Z).
% 249 [para:242.1.1,7.1.2.1.1.1.1,demod:5] equal(inverse(multiply(multiply(inverse(X),Y),inverse(multiply(Z,Y)))),inverse(multiply(multiply(inverse(X),U),inverse(multiply(Z,U))))).
% 284 [para:21.1.1,249.1.1.1.1.1,demod:21] equal(inverse(multiply(multiply(X,Y),inverse(multiply(Z,Y)))),inverse(multiply(multiply(X,U),inverse(multiply(Z,U))))).
% 342 [para:284.1.1,175.1.1.2.2.2.1.1.1,demod:175] equal(multiply(multiply(X,Y),inverse(multiply(Z,Y))),multiply(multiply(X,U),inverse(multiply(Z,U)))).
% 349 [para:342.1.1,36.1.1.2] equal(multiply(inverse(multiply(X,Y)),multiply(multiply(X,Z),inverse(multiply(U,Z)))),multiply(inverse(V),multiply(V,inverse(multiply(U,Y))))).
% 351 [para:36.1.1,342.1.1.1] equal(multiply(multiply(inverse(X),multiply(X,Y)),inverse(multiply(Z,multiply(U,Y)))),multiply(multiply(inverse(U),V),inverse(multiply(Z,V)))).
% 796 [para:10.1.1,351.1.1.2.1,demod:10] equal(multiply(X,inverse(X)),multiply(multiply(inverse(Y),Z),inverse(multiply(inverse(Y),Z)))).
% 927 [para:5.1.1,796.1.2.1,demod:5] equal(multiply(X,inverse(X)),multiply(Y,inverse(Y))).
% 952 [para:796.1.2,23.1.1.2.1] equal(multiply(multiply(inverse(X),multiply(X,Y)),inverse(multiply(Z,inverse(Z)))),Y).
% 977 [para:796.1.2,171.1.1.2.2.1] equal(multiply(X,multiply(multiply(inverse(X),Y),inverse(multiply(Z,inverse(Z))))),Y).
% 1258 [para:342.1.1,977.1.1.2] equal(multiply(X,multiply(multiply(inverse(X),Y),inverse(multiply(Z,Y)))),inverse(Z)).
% 1276 [para:927.1.1,977.1.1.2] equal(multiply(X,multiply(Y,inverse(Y))),inverse(inverse(X))).
% 1283 [para:1276.1.1,36.1.1] equal(inverse(inverse(inverse(X))),multiply(inverse(Y),multiply(Y,inverse(X)))).
% 1307 [para:1276.1.1,14.1.1.2.2.1.1,demod:1283,1276] equal(inverse(inverse(inverse(multiply(inverse(inverse(inverse(X))),inverse(inverse(inverse(Y))))))),inverse(multiply(multiply(inverse(multiply(inverse(Z),multiply(inverse(inverse(Y)),X))),U),inverse(multiply(Z,U))))).
% 1323 [para:1276.1.1,349.1.2] equal(multiply(inverse(multiply(X,Y)),multiply(multiply(X,Z),inverse(multiply(U,Z)))),inverse(inverse(inverse(multiply(U,Y))))).
% 1331 [para:1276.1.1,952.1.1.1] equal(multiply(inverse(inverse(inverse(X))),inverse(multiply(Y,inverse(Y)))),inverse(X)).
% 1344 [para:21.1.1,1283.1.2.2.2,demod:21] equal(inverse(inverse(X)),multiply(inverse(Y),multiply(Y,X))).
% 1402 [para:1344.1.2,7.1.1.2.1.2.1,demod:1307] equal(multiply(X,inverse(multiply(multiply(inverse(multiply(inverse(inverse(Y)),Z)),multiply(Y,U)),inverse(inverse(inverse(U)))))),inverse(inverse(inverse(multiply(inverse(inverse(inverse(Z))),inverse(inverse(inverse(X)))))))).
% 1404 [para:1344.1.2,7.1.2.1.1.1.1.2,demod:5] equal(X,inverse(multiply(multiply(inverse(multiply(inverse(Y),inverse(inverse(X)))),Z),inverse(multiply(Y,Z))))).
% 1407 [para:1344.1.2,36.1.1.2,demod:1344] equal(multiply(inverse(inverse(X)),inverse(inverse(Y))),inverse(inverse(multiply(X,Y)))).
% 1409 [para:1344.1.2,21.1.1.1.1.1.1] equal(inverse(multiply(multiply(inverse(inverse(inverse(multiply(X,Y)))),Z),inverse(multiply(inverse(X),Z)))),Y).
% 1419 [para:1344.1.2,12.1.1.2.1.2.1,demod:1407,1402] equal(inverse(inverse(inverse(inverse(inverse(multiply(inverse(X),inverse(Y))))))),multiply(Y,inverse(multiply(multiply(inverse(multiply(inverse(Z),X)),U),inverse(multiply(Z,U)))))).
% 1434 [para:242.1.1,1344.1.2.2,demod:1283] equal(inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(X),Y),inverse(multiply(Z,Y)))))))),multiply(inverse(inverse(Z)),X)).
% 1464 [para:1344.1.2,952.1.1.1] equal(multiply(inverse(inverse(X)),inverse(multiply(Y,inverse(Y)))),X).
% 1469 [para:7.1.2,1464.1.1.1.1,demod:1331,1419] equal(inverse(inverse(inverse(inverse(multiply(inverse(X),inverse(Y)))))),multiply(multiply(inverse(multiply(inverse(Z),multiply(inverse(inverse(Y)),X))),U),inverse(multiply(Z,U)))).
% 1470 [para:7.1.2,1464.1.1.2.1.2,demod:1434,1407,1419,1469] equal(multiply(inverse(inverse(X)),multiply(inverse(inverse(inverse(Y))),Y)),X).
% 1473 [para:1464.1.1,45.1.1.2.2,demod:1344,1470] equal(X,inverse(inverse(multiply(X,inverse(multiply(Y,inverse(Y))))))).
% 1513 [para:1473.1.2,7.1.2.1.1.1.1.2.1.1,demod:1473,1419] equal(inverse(inverse(inverse(inverse(inverse(multiply(inverse(X),Y)))))),inverse(multiply(multiply(inverse(multiply(inverse(Z),multiply(inverse(Y),X))),U),inverse(multiply(Z,U))))).
% 1517 [para:1473.1.2,36.1.1.1,demod:1344] equal(multiply(X,multiply(inverse(multiply(X,inverse(multiply(Y,inverse(Y))))),Z)),inverse(inverse(Z))).
% 1531 [para:284.1.1,1473.1.2.1] equal(multiply(X,inverse(Y)),inverse(inverse(multiply(multiply(X,Z),inverse(multiply(Y,Z)))))).
% 1533 [para:1473.1.2,16.1.1.1,demod:1419,1531,1517] equal(inverse(multiply(inverse(X),inverse(Y))),inverse(inverse(inverse(inverse(inverse(multiply(inverse(X),inverse(Y)))))))).
% 1548 [para:20.1.1,7.1.1.2,demod:1469,1533,1419] equal(multiply(X,inverse(multiply(inverse(Y),inverse(Z)))),inverse(multiply(inverse(multiply(inverse(inverse(Z)),Y)),inverse(X)))).
% 1549 [para:7.1.2,20.1.2.2,demod:1533,1419,1548,1469] equal(inverse(inverse(inverse(inverse(multiply(X,inverse(multiply(inverse(Y),inverse(Z)))))))),multiply(X,inverse(multiply(inverse(Y),inverse(Z))))).
% 1550 [para:20.1.1,10.1.1.2.2,demod:1283,1533,1419] equal(inverse(inverse(inverse(multiply(inverse(X),inverse(Y))))),multiply(inverse(inverse(Y)),X)).
% 1551 [para:20.1.2,10.1.1.2.2.1.1,demod:1283,1409,1407,1419,1550,1469] equal(inverse(inverse(inverse(inverse(X)))),X).
% 1555 [para:10.1.1,20.1.2.2.1.1.1.1,demod:1404,1407,1550,1419] equal(multiply(X,multiply(inverse(inverse(Y)),Z)),multiply(X,inverse(multiply(multiply(inverse(Z),U),inverse(multiply(Y,U)))))).
% 1557 [para:36.1.1,20.1.1.1.1.1.1.2,demod:1551,1513,1404,1344] equal(X,multiply(Y,inverse(multiply(inverse(X),Y)))).
% 1559 [para:36.1.1,20.1.2.2.1.1.1.1,demod:1407,1555,1344,1550,1469] equal(inverse(inverse(multiply(inverse(inverse(X)),multiply(Y,Z)))),multiply(X,inverse(inverse(multiply(Y,Z))))).
% 1562 [para:21.1.1,20.1.2.2.1.1.1.1.1,demod:1404,1555,1344,1550,1469] equal(inverse(inverse(multiply(inverse(inverse(X)),Y))),multiply(X,inverse(inverse(Y)))).
% 1572 [para:20.1.2,54.1.2.1.1.1.1.2.2,demod:1409,1344,1562,1550,1469] equal(inverse(multiply(multiply(inverse(multiply(inverse(X),Y)),Z),inverse(multiply(X,Z)))),inverse(inverse(Y))).
% 1576 [para:20.1.1,13.1.1.2,demod:1549,1548,1469,1572] equal(multiply(X,multiply(Y,inverse(inverse(Z)))),multiply(X,inverse(multiply(inverse(Z),inverse(Y))))).
% 1581 [para:20.1.2,13.1.2.1.1,demod:1572,1562,1550,1469,1555] equal(multiply(X,multiply(inverse(inverse(inverse(X))),Y)),inverse(inverse(Y))).
% 1583 [para:13.1.2,20.1.1.1.1.1.1.2.1.1,demod:1572,1562,1550,1469,1581,1555] equal(multiply(inverse(X),inverse(inverse(Y))),multiply(multiply(multiply(inverse(multiply(inverse(Z),X)),U),inverse(multiply(Z,U))),inverse(inverse(Y)))).
% 1586 [para:20.1.1,171.1.1.2.2,demod:1344,1572] equal(inverse(inverse(multiply(X,inverse(inverse(Y))))),multiply(inverse(inverse(X)),Y)).
% 1589 [para:171.1.1,20.1.1.1.1.1.1,demod:1557,1513,1551,1555] equal(inverse(multiply(multiply(inverse(X),Y),inverse(multiply(Z,Y)))),multiply(inverse(inverse(Z)),X)).
% 1591 [para:20.1.1,175.1.1.2.2.2,demod:1344,1572] equal(inverse(inverse(multiply(X,multiply(Y,inverse(inverse(Z)))))),multiply(inverse(inverse(X)),multiply(inverse(inverse(Y)),Z))).
% 1599 [para:20.1.2,14.1.1.2.2.1,demod:1550,1344,1562,1559,1591,1576,1469] equal(multiply(inverse(X),multiply(multiply(Y,Z),inverse(inverse(U)))),multiply(multiply(inverse(multiply(inverse(Y),X)),Z),inverse(inverse(U)))).
% 1621 [para:15.1.1,20.1.1.1.2,demod:1586,1562,1276,1583,1599,1572] equal(multiply(inverse(inverse(X)),Y),multiply(X,inverse(inverse(Y)))).
% 1622 [para:15.1.1,20.1.2.2.1.1.1.1.1,demod:1551,1283,1589,1586,1572,1621] equal(multiply(X,inverse(inverse(Y))),multiply(X,Y)).
% 1623 [?] ?
% 1633 [para:349.1.2,20.1.1.1.1.1.1,demod:1572,1622,1621,1623,1323] equal(inverse(multiply(multiply(multiply(X,Y),Z),inverse(multiply(U,Z)))),multiply(U,inverse(multiply(X,Y)))).
% 1643 [para:20.1.2,16.1.1.2,demod:1557,1513,1344,1623,1572,1622,1621] equal(inverse(inverse(X)),X).
% 1644 [para:20.1.2,16.1.1.2.2.1,demod:1643,1283,1572,1623] equal(inverse(multiply(multiply(inverse(X),inverse(multiply(Y,Z))),U)),multiply(multiply(inverse(multiply(inverse(Y),U)),Z),X)).
% 1657 [para:20.1.2,351.1.2,demod:1644,1572,1623,1643,1344] equal(multiply(X,inverse(multiply(multiply(inverse(multiply(inverse(Y),Z)),U),multiply(V,X)))),inverse(multiply(multiply(inverse(multiply(inverse(Y),Z)),U),V))).
% 1660 [para:20.1.1,351.1.2.2,demod:1572,1657,1643,1344] equal(inverse(multiply(multiply(inverse(multiply(inverse(X),multiply(Y,Z))),U),V)),multiply(multiply(inverse(V),inverse(multiply(X,U))),multiply(Y,Z))).
% 1662 [para:351.1.1,20.1.1.1,demod:1572,1623,1660,1643] equal(multiply(multiply(multiply(X,Y),inverse(multiply(X,Y))),multiply(Z,U)),multiply(Z,U)).
% 1666 [para:351.1.2,20.1.2,demod:1657,1643,1344,1662,1660,1623] equal(multiply(multiply(inverse(X),inverse(multiply(Y,Z))),U),inverse(multiply(multiply(inverse(multiply(inverse(Y),U)),Z),X))).
% 1667 [para:351.1.1,20.1.2.2.1,demod:1662,1623,1666,1643] equal(multiply(X,Y),multiply(X,multiply(multiply(multiply(Z,U),inverse(multiply(Z,U))),Y))).
% 1682 [para:20.1.1,952.1.1.2.1.2,demod:1667,1623,1666,1643,1344] equal(multiply(X,inverse(multiply(multiply(multiply(inverse(multiply(inverse(Y),multiply(Z,U))),V),inverse(multiply(Y,V))),multiply(Z,U)))),X).
% 1685 [para:20.1.2,977.1.1.2.1,demod:977,1662,1623,1666,1643] equal(X,multiply(multiply(multiply(Y,Z),inverse(multiply(Y,Z))),X)).
% 1688 [para:20.1.1,977.1.1.2.2.1.2,demod:1682,1685,1623,1666,1643] equal(multiply(X,multiply(inverse(X),Y)),Y).
% 1693 [para:20.1.2,1276.1.1.2,demod:1643,1685,1623,1666] equal(multiply(X,multiply(inverse(Y),Y)),X).
% 1704 [para:21.1.1,1643.1.1.1,demod:1643,1344] equal(inverse(X),multiply(multiply(inverse(multiply(inverse(Y),X)),Z),inverse(multiply(Y,Z)))).
% 1709 [para:1643.1.1,14.1.1.2.2.1.1.1,demod:1623,1704,1643,1531,1283] equal(inverse(multiply(X,inverse(Y))),multiply(Y,inverse(X))).
% 1715 [para:1551.1.1,13.1.1.2.1.1.1,demod:1633,1643,1258,1709] equal(inverse(X),multiply(Y,inverse(multiply(X,Y)))).
% 1718 [para:1688.1.1,21.1.1.1.2.1,demod:1688,1666,1643,1344] equal(multiply(multiply(X,inverse(X)),Y),Y).
% 1726 [para:1688.1.1,14.1.1.2.2.1.1,demod:1623,1704,1344,1709,1643] equal(multiply(multiply(X,multiply(Y,Z)),inverse(Z)),multiply(X,Y)).
% 1727 [para:1688.1.1,284.1.1.1.1,demod:1726,1709] equal(multiply(X,inverse(Y)),multiply(multiply(X,Z),inverse(multiply(Y,Z)))).
% 1730 [para:1688.1.1,349.1.1.1.1,demod:1623,1283,1727] equal(multiply(inverse(X),multiply(Y,inverse(Z))),inverse(multiply(Z,multiply(inverse(Y),X)))).
% 1736 [para:1693.1.1,10.1.1.2.2.1.1.1.1,demod:1276,1709,1727,1643] equal(multiply(inverse(X),X),multiply(inverse(Y),Y)).
% 1742 [para:21.1.1,1718.1.1.1.2,demod:1704,1643,1344] equal(multiply(multiply(inverse(X),X),Y),Y).
% 1745 [para:1718.1.1,349.1.1.1.1,demod:1623,1283,1715,1718] equal(multiply(inverse(X),inverse(Y)),inverse(multiply(Y,X))).
% 1747 [para:1718.1.1,351.1.1.2.1,demod:1718,1715,1643,1344] equal(inverse(X),multiply(multiply(inverse(X),Y),inverse(Y))).
% 1755 [para:1557.1.2,5.1.1.2.1.1,demod:1688,1715,1709,1643,1730] equal(multiply(multiply(X,Y),inverse(Y)),X).
% 1757 [para:1557.1.2,36.1.1.2,demod:1623,1283] equal(multiply(inverse(X),Y),inverse(multiply(inverse(Y),X))).
% 1761 [para:1755.1.1,14.1.1.2.2.1.2.1,demod:1747,1727,1757,1344,1623,1745] equal(multiply(X,multiply(Y,Z)),multiply(multiply(X,Y),Z)).
% 1766 [hyper:6,1736,demod:1742,1761,cut:4,cut:4] 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: 59
% derived clauses: 11176
% kept clauses: 1756
% kept size sum: 52551
% kept mid-nuclei: 2
% kept new demods: 491
% forw unit-subs: 6723
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 22
% fast unit cutoff: 3
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 0.27
% process. runtime: 0.25
% 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/GRP057-1+eq_r.in")
%
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