TSTP Solution File: GRP051-1 by Gandalf---c-2.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : GRP051-1 : 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 : 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 50.0s
% Output   : Assurance 50.0s
% 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/GRP051-1+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 7 5)
% (binary-unit 12 #f)
% (binary-unit-uniteq 12 #f)
% (binary-posweight-kb-big-order 60 #f 7 5)
% (binary-posweight-lex-big-order 30 #f 7 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(3,40,1,6,0,1,7,50,1,10,0,1,24,50,4,27,0,4,51,50,15,54,0,15,15685,4,703,15865,5,917,15865,1,917,15865,50,918,15865,40,918,15868,0,918,25051,3,1119,32571,4,1232,33434,5,1319,33438,1,1319,33438,50,1320,33438,40,1320,33441,0,1320,44398,3,1537,47850,4,1630,53553,5,1721,53554,1,1721,53554,50,1722,53554,40,1722,53557,0,1722,53558,50,1722,53561,0,1734,53575,50,1736,53578,0,1748,53602,50,1753,53605,0,1765,75839,3,2717,83036,4,3197,92705,5,3666,92707,1,3666,92707,50,3669,92707,40,3669,92710,0,3669,92711,50,3669,92714,0,3683,92728,50,3685,92731,0,3697,92755,50,3702,92758,0,3714,108024,3,4166,111079,4,4394,116324,5,4615,116325,1,4615,116325,50,4616,116325,40,4616,116328,0,4616,116329,50,4617,116329,40,4617,116332,0,4637)
% 
% 
% START OF PROOF
% 116330 [] equal(X,X).
% 116331 [] equal(multiply(multiply(inverse(multiply(X,inverse(multiply(Y,Z)))),multiply(X,inverse(Z))),inverse(multiply(inverse(Z),Z))),Y).
% 116332 [] -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)).
% 116333 [para:116331.1.1,116331.1.1.1.1.1] equal(multiply(multiply(inverse(X),multiply(multiply(inverse(multiply(Y,inverse(multiply(X,Z)))),multiply(Y,inverse(Z))),inverse(Z))),inverse(multiply(inverse(Z),Z))),inverse(Z)).
% 116334 [para:116331.1.1,116331.1.1.1.1.1.2.1] equal(multiply(multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(inverse(multiply(inverse(Z),Z))))),inverse(multiply(inverse(inverse(multiply(inverse(Z),Z))),inverse(multiply(inverse(Z),Z))))),multiply(inverse(multiply(U,inverse(multiply(Y,Z)))),multiply(U,inverse(Z)))).
% 116338 [para:116333.1.1,116331.1.1.1.2] equal(multiply(multiply(inverse(multiply(multiply(inverse(X),multiply(multiply(inverse(multiply(Y,inverse(multiply(X,Z)))),multiply(Y,inverse(Z))),inverse(Z))),inverse(multiply(U,multiply(inverse(Z),Z))))),inverse(Z)),inverse(multiply(inverse(multiply(inverse(Z),Z)),multiply(inverse(Z),Z)))),U).
% 116357 [para:116334.1.1,116331.1.1] equal(multiply(inverse(multiply(X,inverse(multiply(multiply(Y,inverse(multiply(inverse(Z),Z))),Z)))),multiply(X,inverse(Z))),Y).
% 116358 [para:116334.1.2,116331.1.1.1] equal(multiply(multiply(multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(inverse(multiply(inverse(Z),Z))))),inverse(multiply(inverse(inverse(multiply(inverse(Z),Z))),inverse(multiply(inverse(Z),Z))))),inverse(multiply(inverse(Z),Z))),Y).
% 116359 [para:116334.1.1,116331.1.1.1.1.1.2.1] equal(multiply(multiply(inverse(multiply(X,inverse(multiply(inverse(multiply(Y,inverse(multiply(Z,U)))),multiply(Y,inverse(U)))))),multiply(X,inverse(inverse(multiply(inverse(inverse(multiply(inverse(U),U))),inverse(multiply(inverse(U),U))))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(U),U))),inverse(multiply(inverse(U),U))))),inverse(multiply(inverse(inverse(multiply(inverse(U),U))),inverse(multiply(inverse(U),U))))))),multiply(inverse(multiply(V,inverse(Z))),multiply(V,inverse(inverse(multiply(inverse(U),U)))))).
% 116380 [para:116334.1.1,116334.1.1] equal(multiply(inverse(multiply(X,inverse(multiply(Y,Z)))),multiply(X,inverse(Z))),multiply(inverse(multiply(U,inverse(multiply(Y,Z)))),multiply(U,inverse(Z)))).
% 116389 [para:116357.1.1,116331.1.1.1.1.1.2.1] equal(multiply(multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(multiply(Z,inverse(U))))),inverse(multiply(inverse(multiply(Z,inverse(U))),multiply(Z,inverse(U))))),inverse(multiply(Z,inverse(multiply(multiply(Y,inverse(multiply(inverse(U),U))),U))))).
% 116423 [para:116357.1.1,116380.1.1.1.1.2.1,demod:116357] equal(multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(multiply(Z,inverse(U))))),multiply(inverse(multiply(V,inverse(Y))),multiply(V,inverse(multiply(Z,inverse(U)))))).
% 116429 [para:116331.1.1,116423.1.1.2.2.1,demod:116331] equal(multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(Z))),multiply(inverse(multiply(U,inverse(Y))),multiply(U,inverse(Z)))).
% 116461 [para:116429.1.1,116331.1.1.1.1.1.2.1,demod:116389] equal(inverse(multiply(X,inverse(multiply(multiply(multiply(inverse(multiply(Y,inverse(Z))),multiply(Y,inverse(U))),inverse(multiply(inverse(U),U))),U)))),inverse(multiply(X,inverse(Z)))).
% 116462 [para:116429.1.1,116331.1.1.2.1] equal(multiply(multiply(inverse(multiply(X,inverse(multiply(Y,multiply(Z,inverse(U)))))),multiply(X,inverse(multiply(Z,inverse(U))))),inverse(multiply(inverse(multiply(V,inverse(U))),multiply(V,inverse(U))))),Y).
% 116607 [para:116357.1.1,116462.1.1.1] equal(multiply(X,inverse(multiply(inverse(multiply(Y,inverse(Z))),multiply(Y,inverse(Z))))),multiply(X,inverse(multiply(inverse(multiply(U,inverse(Z))),multiply(U,inverse(Z)))))).
% 116624 [para:116331.1.1,116607.1.1.2.1.1.1,demod:116331] equal(multiply(X,inverse(multiply(inverse(Y),Y))),multiply(X,inverse(multiply(inverse(multiply(Z,inverse(multiply(inverse(U),U)))),multiply(Z,inverse(multiply(inverse(U),U))))))).
% 116777 [para:116624.1.1,116331.1.1.1.1.1] equal(multiply(multiply(inverse(multiply(X,inverse(multiply(inverse(multiply(Y,inverse(multiply(inverse(Z),Z)))),multiply(Y,inverse(multiply(inverse(Z),Z))))))),multiply(X,inverse(U))),inverse(multiply(inverse(U),U))),inverse(U)).
% 116785 [para:116331.1.1,116624.1.2.2.1.1.1,demod:116331] equal(multiply(X,inverse(multiply(inverse(Y),Y))),multiply(X,inverse(multiply(inverse(Z),Z)))).
% 116848 [para:116624.1.1,116461.1.1.1.2.1.1.1.1.1,demod:116777] equal(inverse(multiply(X,inverse(multiply(inverse(Y),Y)))),inverse(multiply(X,inverse(multiply(inverse(Z),Z))))).
% 116901 [para:116785.1.1,116331.1.1] equal(multiply(multiply(inverse(multiply(X,inverse(multiply(Y,Z)))),multiply(X,inverse(Z))),inverse(multiply(inverse(U),U))),Y).
% 116937 [para:116785.1.1,116357.1.1.1.1.2.1.1] equal(multiply(inverse(multiply(X,inverse(multiply(multiply(Y,inverse(multiply(inverse(Z),Z))),U)))),multiply(X,inverse(U))),Y).
% 116993 [para:116785.1.1,116901.1.1.1.1.1] equal(multiply(multiply(inverse(multiply(X,inverse(multiply(inverse(Y),Y)))),multiply(X,inverse(Z))),inverse(multiply(inverse(U),U))),inverse(Z)).
% 117024 [para:116338.1.1,116785.1.1] equal(X,multiply(multiply(inverse(multiply(multiply(inverse(Y),multiply(multiply(inverse(multiply(Z,inverse(multiply(Y,U)))),multiply(Z,inverse(U))),inverse(U))),inverse(multiply(X,multiply(inverse(U),U))))),inverse(U)),inverse(multiply(inverse(V),V)))).
% 117051 [para:116338.1.1,116901.1.1.1.1.1,demod:117024] equal(multiply(multiply(inverse(X),X),inverse(multiply(inverse(Y),Y))),inverse(multiply(inverse(Z),Z))).
% 117076 [para:117051.1.2,116785.1.1.2] equal(multiply(X,multiply(multiply(inverse(Y),Y),inverse(multiply(inverse(Z),Z)))),multiply(X,inverse(multiply(inverse(U),U)))).
% 117083 [para:117051.1.1,116848.1.1.1] equal(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(multiply(inverse(Y),Y),inverse(multiply(inverse(Z),Z))))).
% 117090 [para:116848.1.1,117051.1.1.1.1,demod:116993] equal(inverse(multiply(inverse(X),X)),inverse(multiply(inverse(Y),Y))).
% 117103 [para:117051.1.1,116937.1.1.1.1.2.1.1] equal(multiply(inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(Y),Y)),Z)))),multiply(X,inverse(Z))),multiply(inverse(U),U)).
% 117468 [para:116848.1.1,117083.1.2.1.1.1,demod:116993] equal(inverse(inverse(multiply(inverse(X),X))),inverse(inverse(multiply(inverse(Y),Y)))).
% 117543 [para:116785.1.1,117468.1.1.1.1] equal(inverse(inverse(multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(Y),Y))))),inverse(inverse(multiply(inverse(Z),Z)))).
% 118683 [para:117103.1.1,116901.1.1.1.1.1.2.1,demod:116993] equal(inverse(multiply(X,inverse(Y))),inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(Z),Z)),Y))))).
% 118685 [para:116901.1.1,117103.1.1.1.1,demod:116901] equal(multiply(inverse(X),X),multiply(inverse(Y),Y)).
% 118739 [para:117103.1.2,116332.1.1.1,cut:118685] -equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) | -equal(multiply(multiply(inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(Y),Y)),Z)))),multiply(X,inverse(Z))),a2),a2).
% 118743 [para:118685.1.1,116785.1.1] equal(multiply(inverse(X),X),multiply(inverse(inverse(multiply(inverse(Y),Y))),inverse(multiply(inverse(Z),Z)))).
% 118897 [para:116785.1.1,118683.1.2.1.2.1,demod:118683] equal(inverse(multiply(X,inverse(inverse(multiply(inverse(Y),Y))))),inverse(multiply(X,inverse(inverse(multiply(inverse(Z),Z)))))).
% 118919 [para:118683.1.2,117090.1.1] equal(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X),X)),Y))),inverse(Y))),inverse(multiply(inverse(Z),Z))).
% 119380 [para:118919.1.1,116901.1.1.1.1.1.2,demod:116993] equal(inverse(inverse(X)),inverse(inverse(multiply(inverse(multiply(inverse(Y),Y)),X)))).
% 119795 [para:116937.1.1,119380.1.2.1.1] equal(inverse(inverse(multiply(inverse(inverse(multiply(multiply(X,inverse(multiply(inverse(Y),Y))),Z))),inverse(Z)))),inverse(inverse(X))).
% 119797 [para:117051.1.2,119380.1.2.1.1.1] equal(inverse(inverse(X)),inverse(inverse(multiply(multiply(multiply(inverse(Y),Y),inverse(multiply(inverse(Z),Z))),X)))).
% 119817 [para:117076.1.1,119380.1.2.1.1,demod:119380] equal(inverse(inverse(multiply(multiply(inverse(X),X),inverse(multiply(inverse(Y),Y))))),inverse(inverse(inverse(multiply(inverse(Z),Z))))).
% 119826 [para:119380.1.2,118685.1.1.1] equal(multiply(inverse(inverse(X)),inverse(multiply(inverse(multiply(inverse(Y),Y)),X))),multiply(inverse(Z),Z)).
% 123462 [para:117543.1.2,116901.1.1.1.2.2] equal(multiply(multiply(inverse(multiply(X,inverse(multiply(Y,inverse(multiply(inverse(Z),Z)))))),multiply(X,inverse(inverse(multiply(inverse(inverse(multiply(inverse(U),U))),inverse(multiply(inverse(V),V))))))),inverse(multiply(inverse(W),W))),Y).
% 132472 [para:118685.1.1,116993.1.1.1.2] equal(multiply(multiply(inverse(multiply(inverse(inverse(X)),inverse(multiply(inverse(Y),Y)))),multiply(inverse(Z),Z)),inverse(multiply(inverse(U),U))),inverse(X)).
% 132478 [para:119826.1.1,116993.1.1.1.2,demod:132472] equal(inverse(X),inverse(multiply(inverse(multiply(inverse(Y),Y)),X))).
% 132538 [para:116429.1.1,132478.1.2.1] equal(inverse(multiply(inverse(inverse(X)),inverse(Y))),inverse(multiply(inverse(multiply(Z,inverse(X))),multiply(Z,inverse(Y))))).
% 132554 [para:117051.1.2,132478.1.2.1.1] equal(inverse(X),inverse(multiply(multiply(multiply(inverse(Y),Y),inverse(multiply(inverse(Z),Z))),X))).
% 133068 [para:116358.1.1,116785.1.1] equal(X,multiply(multiply(multiply(inverse(multiply(Y,inverse(X))),multiply(Y,inverse(inverse(multiply(inverse(Z),Z))))),inverse(multiply(inverse(inverse(multiply(inverse(Z),Z))),inverse(multiply(inverse(Z),Z))))),inverse(multiply(inverse(U),U)))).
% 133128 [para:118683.1.2,116358.1.1.1.1.1,demod:133068] equal(X,multiply(inverse(multiply(inverse(Y),Y)),X)).
% 133253 [para:116785.1.1,116359.1.1.1.1.1.2.1.2,demod:123462,133128,132538] equal(inverse(inverse(multiply(X,multiply(inverse(Y),Y)))),multiply(inverse(multiply(Z,inverse(X))),multiply(Z,inverse(inverse(multiply(inverse(Y),Y)))))).
% 133356 [para:117090.1.1,116359.1.1.2.1.1.1.1.1.1,demod:133253,132538] equal(multiply(inverse(inverse(multiply(multiply(inverse(inverse(multiply(X,Y))),inverse(Y)),multiply(inverse(inverse(multiply(inverse(Y),Y))),inverse(multiply(inverse(Y),Y)))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(Z),Z))),inverse(multiply(inverse(Y),Y))))),inverse(multiply(inverse(inverse(multiply(inverse(Y),Y))),inverse(multiply(inverse(Y),Y))))))),inverse(inverse(multiply(X,multiply(inverse(Y),Y))))).
% 133358 [para:117090.1.1,116359.1.2.1,demod:133128,133356,133253,132538] equal(inverse(inverse(multiply(X,multiply(inverse(Y),Y)))),multiply(inverse(inverse(X)),inverse(inverse(multiply(inverse(Y),Y))))).
% 133390 [para:117083.1.1,116359.1.2.1.1.2,demod:132554,133253,132538,133128] equal(multiply(inverse(inverse(multiply(multiply(inverse(inverse(X)),inverse(X)),multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(X),X)))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(X),X))))),inverse(multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(X),X))))))),inverse(inverse(multiply(inverse(X),X)))).
% 133566 [para:116359.1.2,117103.1.1,demod:133390,133253,132538,133128] equal(inverse(inverse(multiply(inverse(X),X))),multiply(inverse(Y),Y)).
% 134077 [para:133128.1.2,116429.1.1] equal(multiply(inverse(inverse(X)),inverse(Y)),multiply(inverse(multiply(Z,inverse(X))),multiply(Z,inverse(Y)))).
% 134079 [para:133128.1.2,116901.1.1.1] equal(multiply(multiply(inverse(inverse(multiply(X,Y))),inverse(Y)),inverse(multiply(inverse(Z),Z))),X).
% 134098 [para:118897.1.1,133128.1.2.1,demod:133128,133358] equal(X,multiply(inverse(inverse(inverse(multiply(inverse(Y),Y)))),X)).
% 134126 [para:119817.1.1,133128.1.2.1.1.1,demod:134098] equal(X,multiply(inverse(inverse(multiply(multiply(inverse(Y),Y),inverse(multiply(inverse(Z),Z))))),X)).
% 134168 [para:133566.1.1,116429.1.1.1.1.2,demod:134098,134077] equal(multiply(inverse(multiply(X,multiply(inverse(Y),Y))),multiply(X,inverse(Z))),inverse(Z)).
% 134263 [para:133566.1.1,118743.1.2.1.1.1.1,demod:134126] equal(multiply(inverse(X),X),inverse(multiply(inverse(Y),Y))).
% 134486 [?] ?
% 134528 [para:134263.1.2,116429.1.1.1,demod:134077] equal(multiply(multiply(inverse(X),X),multiply(inverse(inverse(Y)),inverse(Z))),multiply(inverse(inverse(Y)),inverse(Z))).
% 134530 [para:134263.1.2,116429.1.1.1.1.2,demod:134077,134168] equal(inverse(X),multiply(inverse(inverse(multiply(inverse(Y),Y))),inverse(X))).
% 134531 [para:134263.1.1,116429.1.1.2,demod:134077,134486] equal(inverse(multiply(inverse(inverse(X)),inverse(Y))),multiply(inverse(inverse(Y)),inverse(X))).
% 134546 [para:134263.1.1,116901.1.1.1.2,demod:134079,134531] equal(multiply(X,inverse(multiply(inverse(Y),Y))),X).
% 134551 [para:134263.1.2,116937.1.1.1,demod:134528,134546] equal(multiply(inverse(inverse(multiply(X,Y))),inverse(Y)),X).
% 134553 [para:134263.1.2,116937.1.1.1.1.2.1.1.2,demod:134551,134077] equal(multiply(X,multiply(inverse(Y),Y)),X).
% 134554 [para:134263.1.1,116937.1.1.1.1.2.1.1.2.1,demod:134551,134077] equal(multiply(X,inverse(inverse(multiply(inverse(Y),Y)))),X).
% 134555 [para:134263.1.2,116937.1.1.2.2,demod:134553,134546] equal(multiply(inverse(multiply(X,inverse(Y))),X),Y).
% 134602 [para:134263.1.2,116993.1.1.1.1,demod:134546,134530] equal(multiply(multiply(inverse(X),X),inverse(Y)),inverse(Y)).
% 134604 [?] ?
% 134608 [para:134263.1.2,116359.1.1.1.1,demod:134555,134554,133128,134602,134486,134604,134530,134551,134077] equal(inverse(inverse(X)),X).
% 134612 [para:134263.1.1,116359.1.1.1.2,demod:134555,134553,133128,134546,134077,134602,134608] equal(multiply(multiply(X,Y),inverse(Y)),X).
% 134614 [para:134263.1.2,116359.1.2.1,demod:134553,133128,134555,134546,134602,134612,134608,134077] equal(X,multiply(multiply(inverse(Y),Y),X)).
% 134643 [para:134608.1.1,119797.1.2.1.1.1.1.1,demod:134546,134608] equal(X,multiply(multiply(Y,inverse(Y)),X)).
% 134645 [para:134608.1.1,119795.1.1.1.1.2,demod:134608,134546] equal(multiply(multiply(X,inverse(Y)),Y),X).
% 134685 [para:134553.1.1,116429.1.1,demod:134077,134608] equal(inverse(multiply(X,inverse(Y))),multiply(Y,inverse(X))).
% 134686 [para:134553.1.1,116429.1.2,demod:134608,134685] equal(multiply(multiply(X,inverse(Y)),multiply(Y,inverse(Z))),multiply(X,inverse(Z))).
% 134690 [para:134612.1.1,116901.1.1.1.1.1.2.1,demod:134546,134608,134685] equal(multiply(multiply(X,inverse(Y)),multiply(Y,Z)),multiply(X,Z)).
% 134691 [para:116937.1.1,134612.1.1.1,demod:134546,134685] equal(multiply(X,multiply(Y,inverse(Z))),multiply(multiply(X,Y),inverse(Z))).
% 134702 [para:134612.1.1,116993.1.1.1.2,demod:134546,134691] equal(multiply(inverse(multiply(X,Y)),X),inverse(Y)).
% 134733 [para:134702.1.1,134645.1.1.1] equal(multiply(inverse(X),Y),inverse(multiply(inverse(Y),X))).
% 134926 [para:134612.1.1,134690.1.1.1] equal(multiply(X,multiply(Y,Z)),multiply(multiply(X,Y),Z)).
% 134929 [para:134926.1.2,118739.1.1,demod:134643,134686,134685,134614,134733,cut:116330,cut:116330] 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
% seconds given: 52
% 
% 
% ***GANDALF_FOUND_A_REFUTATION***
% 
% Global statistics over all passes: 
% 
%  given clauses:    1445
%  derived clauses:   1644710
%  kept clauses:      104520
%  kept size sum:     974171
%  kept mid-nuclei:   2
%  kept new demods:   14316
%  forw unit-subs:    1248125
%  forw double-subs: 1220
%  forw overdouble-subs: 0
%  backward subs:     316
%  fast unit cutoff:  13
%  full unit cutoff:  0
%  dbl  unit cutoff:  0
%  real runtime  :  50.6
%  process. runtime:  50.5
% specific non-discr-tree subsumption statistics: 
%  tried:           4
%  length fails:    0
%  strength fails:  0
%  predlist fails:  0
%  aux str. fails:  0
%  by-lit fails:    0
%  full subs tried: 4
%  full subs fail:  4
% 
% ; 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/GRP051-1+eq_r.in")
% 
%------------------------------------------------------------------------------