TSTP Solution File: LCL084-2 by Gandalf---c-2.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : LCL084-2 : TPTP v3.4.2. Bugfixed v1.2.0.
% 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 228.1s
% Output   : Assurance 228.1s
% 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/LCL/LCL084-2+noeq.in
% Using automatic strategy selection.
% Time limit in seconds: 600
% 
% prove-all-passes started
% 
% detected problem class: hne
% detected subclass: small
% detected subclass: short
% 
% strategies selected: 
% (hyper 29 #f 4 5)
% (binary-unit 11 #f 4 5)
% (binary-double 17 #f 4 5)
% (hyper 29 #f)
% (binary-unit 34 #f)
% (binary-weightorder 40 #f)
% (binary 17 #t)
% (binary-order 29 #f)
% (binary-posweight-order 111 #f 4 5)
% (binary-posweight-order 283 #f)
% 
% 
% **** EMPTY CLAUSE DERIVED ****
% 
% 
% timer checkpoints: c(4,40,0,8,0,0,22,50,0,26,0,0,90,50,0,94,0,0,734,50,16,738,0,16,13310,4,2123,14053,5,2817,14054,1,2818,14054,50,2819,14054,40,2819,14058,0,2819,14108,50,2820,14112,0,2823,16558,50,2975,16562,0,2975,34206,3,3426,37419,4,3651,43309,5,3878,43309,5,3878,43310,1,3878,43310,50,3880,43310,40,3880,43314,0,3880,77940,3,4748,87082,4,5157,91309,5,5581,91309,1,5581,91309,50,5583,91309,40,5583,91313,0,5583,107112,4,7765,107665,5,8485,107666,1,8486,107666,50,8487,107666,40,8487,107670,0,8487,150152,3,10189,165332,4,11041,175183,5,11888,175185,5,11895,175185,1,11895,175185,50,11901,175185,40,11901,175189,0,11901,191888,3,13905,195890,4,14903,199837,5,15902,199839,5,15903,199839,1,15903,199839,50,15904,199839,40,15904,199843,0,15904,226310,3,16755,228599,4,17180,235914,5,17605,235915,1,17605,235915,50,17606,235915,40,17606,235919,0,17606,269241,3,19128,275424,4,19783,281261,5,20507,281261,5,20507,281261,1,20507,281261,50,20509,281261,40,20509,281265,0,20509,281280,50,20509,281284,0,20509,281369,50,20510,281373,0,20523,282941,50,20622,282945,0,20622)
% 
% 
% START OF PROOF
% 282942 [] -is_a_theorem(implies(X,Y)) | -is_a_theorem(X) | is_a_theorem(Y).
% 282943 [] is_a_theorem(implies(implies(implies(X,Y),Z),implies(implies(Z,X),implies(U,X)))).
% 282944 [] is_a_theorem(implies(X,X)).
% 282945 [] -is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))).
% 282947 [binary:282942,282943] is_a_theorem(implies(implies(X,Y),implies(Z,Y))) | -is_a_theorem(implies(implies(Y,U),X)).
% 282949 [binary:282944,282947.2] is_a_theorem(implies(implies(implies(X,Y),X),implies(Z,X))).
% 282950 [binary:282943,282947.2] is_a_theorem(implies(implies(implies(implies(X,Y),implies(Z,Y)),implies(Y,U)),implies(V,implies(Y,U)))).
% 282951 [binary:282942,282949] -is_a_theorem(implies(implies(X,Y),X)) | is_a_theorem(implies(Z,X)).
% 282952 [binary:282947.2,282949] is_a_theorem(implies(implies(implies(X,Y),implies(Y,Z)),implies(U,implies(Y,Z)))).
% 282954 [binary:282949,282951] is_a_theorem(implies(X,implies(Y,Y))).
% 282955 [binary:282947.2,282954] is_a_theorem(implies(implies(implies(X,X),Y),implies(Z,Y))).
% 282956 [binary:282942,282955] -is_a_theorem(implies(implies(X,X),Y)) | is_a_theorem(implies(Z,Y)).
% 282959 [binary:282943,282956] is_a_theorem(implies(X,implies(implies(implies(Y,Z),Y),implies(U,Y)))).
% 282960 [binary:282955,282956] is_a_theorem(implies(X,implies(Y,implies(Z,Z)))).
% 282961 [binary:282947.2,282960] is_a_theorem(implies(implies(implies(X,implies(Y,Y)),Z),implies(U,Z))).
% 282962 [binary:282942,282950] -is_a_theorem(implies(implies(implies(X,Y),implies(Z,Y)),implies(Y,U))) | is_a_theorem(implies(V,implies(Y,U))).
% 282963 [binary:282947.2,282950] is_a_theorem(implies(implies(implies(X,implies(Y,Z)),implies(implies(U,Y),implies(V,Y))),implies(W,implies(implies(U,Y),implies(V,Y))))).
% 282964 [binary:282947.2,282959] is_a_theorem(implies(implies(implies(implies(implies(X,Y),X),implies(Z,X)),U),implies(V,U))).
% 282965 [binary:282942,282961] -is_a_theorem(implies(implies(X,implies(Y,Y)),Z)) | is_a_theorem(implies(U,Z)).
% 282970 [binary:282943,282965] is_a_theorem(implies(X,implies(implies(implies(Y,Y),Z),implies(U,Z)))).
% 282971 [binary:282947.2,282970] is_a_theorem(implies(implies(implies(implies(implies(X,X),Y),implies(Z,Y)),U),implies(V,U))).
% 282972 [binary:282942,282952] -is_a_theorem(implies(implies(X,Y),implies(Y,Z))) | is_a_theorem(implies(U,implies(Y,Z))).
% 282973 [binary:282947.2,282952] is_a_theorem(implies(implies(implies(X,implies(Y,Z)),implies(U,Y)),implies(V,implies(U,Y)))).
% 282982 [binary:282949,282962] is_a_theorem(implies(X,implies(Y,implies(Z,Y)))).
% 282984 [binary:282942,282982,slowcut:282982] is_a_theorem(implies(X,implies(Y,X))).
% 282985 [binary:282947.2,282982] is_a_theorem(implies(implies(implies(X,implies(Y,X)),Z),implies(U,Z))).
% 282986 [binary:282942,282984] is_a_theorem(implies(X,Y)) | -is_a_theorem(Y).
% 282987 [binary:282947.2,282984] is_a_theorem(implies(implies(implies(X,implies(Y,Z)),Y),implies(U,Y))).
% 283004 [binary:282947.2,282963] is_a_theorem(implies(implies(implies(X,implies(implies(Y,Z),implies(U,Z))),implies(V,implies(Z,W))),implies(X1,implies(V,implies(Z,W))))).
% 283029 [binary:282942,282964] -is_a_theorem(implies(implies(implies(implies(X,Y),X),implies(Z,X)),U)) | is_a_theorem(implies(V,U)).
% 283041 [binary:282942,282971] -is_a_theorem(implies(implies(implies(implies(X,X),Y),implies(Z,Y)),U)) | is_a_theorem(implies(V,U)).
% 283050 [binary:282942,282973] -is_a_theorem(implies(implies(X,implies(Y,Z)),implies(U,Y))) | is_a_theorem(implies(V,implies(U,Y))).
% 283051 [binary:282942,282973,binarydemod:282986] is_a_theorem(implies(X,implies(Y,Z))) | -is_a_theorem(Z).
% 283055 [binary:282943,283051.2] is_a_theorem(implies(X,implies(Y,implies(implies(implies(Z,U),V),implies(implies(V,Z),implies(W,Z)))))).
% 283078 [binary:282943,283050] is_a_theorem(implies(X,implies(implies(implies(implies(Y,Z),U),Z),implies(Y,Z)))).
% 283080 [binary:282942,283078,slowcut:283078] is_a_theorem(implies(implies(implies(implies(X,Y),Z),Y),implies(X,Y))).
% 283083 [binary:282942,283004] -is_a_theorem(implies(implies(X,implies(implies(Y,Z),implies(U,Z))),implies(V,implies(Z,W)))) | is_a_theorem(implies(X1,implies(V,implies(Z,W)))).
% 283088 [binary:282942,283080] -is_a_theorem(implies(implies(implies(X,Y),Z),Y)) | is_a_theorem(implies(X,Y)).
% 283089 [binary:282947.2,283080] is_a_theorem(implies(implies(implies(X,Y),implies(implies(X,Y),Z)),implies(U,implies(implies(X,Y),Z)))).
% 283107 [binary:282947.2,283055] is_a_theorem(implies(implies(implies(X,implies(implies(implies(Y,Z),U),implies(implies(U,Y),implies(V,Y)))),W),implies(X1,W))).
% 283115 [binary:283029,283089] is_a_theorem(implies(X,implies(Y,implies(implies(implies(Z,U),Z),Z)))).
% 283116 [binary:283041,283089] is_a_theorem(implies(X,implies(Y,implies(implies(implies(Z,Z),U),U)))).
% 283118 [binary:282942,283115,slowcut:283116] is_a_theorem(implies(X,implies(implies(implies(Y,Z),Y),Y))).
% 283120 [binary:282986.2,283115] is_a_theorem(implies(X,implies(Y,implies(Z,implies(implies(implies(U,V),U),U))))).
% 283122 [binary:282942,283118,slowcut:283120] is_a_theorem(implies(implies(implies(X,Y),X),X)).
% 283125 [binary:282947.2,283122] is_a_theorem(implies(implies(X,implies(X,Y)),implies(Z,implies(X,Y)))).
% 283136 [binary:282942,283125] -is_a_theorem(implies(X,implies(X,Y))) | is_a_theorem(implies(Z,implies(X,Y))).
% 283145 [binary:282985,283136] is_a_theorem(implies(X,implies(implies(implies(Y,implies(Z,Y)),U),U))).
% 283147 [binary:282987,283136] is_a_theorem(implies(X,implies(implies(implies(Y,implies(Z,U)),Z),Z))).
% 283156 [binary:283125,283136] is_a_theorem(implies(X,implies(implies(Y,implies(Y,Z)),implies(Y,Z)))).
% 283166 [binary:282986.2,283145] is_a_theorem(implies(X,implies(Y,implies(implies(implies(Z,implies(U,Z)),V),V)))).
% 283170 [binary:282942,283147,slowcut:283166] is_a_theorem(implies(implies(implies(X,implies(Y,Z)),Y),Y)).
% 283174 [binary:282947.2,283170] is_a_theorem(implies(implies(X,implies(Y,implies(X,Z))),implies(U,implies(Y,implies(X,Z))))).
% 283177 [binary:282942,283156,slowcut:283174] is_a_theorem(implies(implies(X,implies(X,Y)),implies(X,Y))).
% 283181 [binary:282942,283177] -is_a_theorem(implies(X,implies(X,Y))) | is_a_theorem(implies(X,Y)).
% 283184 [binary:282952,283181] is_a_theorem(implies(implies(implies(X,Y),implies(Y,Z)),implies(Y,Z))).
% 283187 [binary:282964,283181] is_a_theorem(implies(implies(implies(implies(implies(X,Y),X),implies(Z,X)),U),U)).
% 283205 [binary:282947.2,283184] is_a_theorem(implies(implies(implies(X,Y),implies(Z,X)),implies(U,implies(Z,X)))).
% 283228 [binary:282942,283187] -is_a_theorem(implies(implies(implies(implies(X,Y),X),implies(Z,X)),U)) | is_a_theorem(U).
% 283240 [binary:283088,283205] is_a_theorem(implies(X,implies(Y,implies(Z,X)))).
% 283243 [binary:282947.2,283240] is_a_theorem(implies(implies(implies(X,implies(Y,implies(Z,U))),Z),implies(V,Z))).
% 283244 [binary:282972,283240] is_a_theorem(implies(X,implies(Y,implies(Z,implies(U,Y))))).
% 283248 [binary:282947.2,283244] is_a_theorem(implies(implies(implies(X,implies(Y,implies(Z,X))),U),implies(V,U))).
% 283275 [binary:283181,283243] is_a_theorem(implies(implies(implies(X,implies(Y,implies(Z,U))),Z),Z)).
% 283277 [binary:282947.2,283275] is_a_theorem(implies(implies(X,implies(Y,implies(Z,implies(X,U)))),implies(V,implies(Y,implies(Z,implies(X,U)))))).
% 283294 [binary:283181,283248] is_a_theorem(implies(implies(implies(X,implies(Y,implies(Z,X))),U),U)).
% 283295 [binary:282942,283294] -is_a_theorem(implies(implies(X,implies(Y,implies(Z,X))),U)) | is_a_theorem(U).
% 283318 [binary:282943,283083] is_a_theorem(implies(X,implies(implies(implies(implies(Y,Z),implies(U,Z)),V),implies(Z,V)))).
% 283342 [binary:283181,283174] is_a_theorem(implies(implies(X,implies(Y,implies(X,Z))),implies(Y,implies(X,Z)))).
% 283343 [binary:282942,283342] -is_a_theorem(implies(X,implies(Y,implies(X,Z)))) | is_a_theorem(implies(Y,implies(X,Z))).
% 283346 [binary:282943,283343] is_a_theorem(implies(implies(X,Y),implies(implies(implies(Y,Z),X),Y))).
% 283347 [binary:282942,283346] is_a_theorem(implies(implies(implies(X,Y),Z),X)) | -is_a_theorem(implies(Z,X)).
% 283357 [binary:283228,283346] is_a_theorem(implies(implies(implies(implies(X,Y),Z),implies(implies(Y,U),Y)),implies(X,Y))).
% 283359 [binary:283295,283346] is_a_theorem(implies(implies(implies(implies(X,implies(Y,Z)),U),Z),implies(X,implies(Y,Z)))).
% 283382 [binary:283125,283347.2] is_a_theorem(implies(implies(implies(implies(X,implies(Y,Z)),U),implies(Y,implies(Y,Z))),implies(X,implies(Y,Z)))).
% 283383 [binary:283177,283347.2] is_a_theorem(implies(implies(implies(implies(X,Y),Z),implies(X,implies(X,Y))),implies(X,Y))).
% 283518 [binary:283181,283107] is_a_theorem(implies(implies(implies(X,implies(implies(implies(Y,Z),U),implies(implies(U,Y),implies(V,Y)))),W),W)).
% 283522 [binary:282942,283318,slowcut:283518] is_a_theorem(implies(implies(implies(implies(X,Y),implies(Z,Y)),U),implies(Y,U))).
% 283527 [binary:282942,283522] -is_a_theorem(implies(implies(implies(X,Y),implies(Z,Y)),U)) | is_a_theorem(implies(Y,U)).
% 283530 [binary:282943,283527] is_a_theorem(implies(X,implies(implies(implies(Y,X),Z),implies(U,Z)))).
% 283538 [binary:283343,283530] is_a_theorem(implies(implies(implies(X,Y),Z),implies(Y,Z))).
% 283542 [binary:282942,283538] -is_a_theorem(implies(implies(X,Y),Z)) | is_a_theorem(implies(Y,Z)).
% 283548 [binary:282943,283542] is_a_theorem(implies(X,implies(implies(X,Y),implies(Z,Y)))).
% 283552 [binary:282942,283548] is_a_theorem(implies(implies(X,Y),implies(Z,Y))) | -is_a_theorem(X).
% 283553 [binary:282947.2,283548] is_a_theorem(implies(implies(implies(implies(implies(X,Y),Z),implies(U,Z)),X),implies(V,X))).
% 283558 [binary:283347.2,283548] is_a_theorem(implies(implies(implies(implies(implies(X,Y),implies(Z,Y)),U),X),implies(implies(X,Y),implies(Z,Y)))).
% 283568 [binary:283530,283552.2] is_a_theorem(implies(implies(implies(X,implies(implies(implies(Y,X),Z),implies(U,Z))),V),implies(W,V))).
% 283570 [binary:283548,283552.2] is_a_theorem(implies(implies(implies(X,implies(implies(X,Y),implies(Z,Y))),U),implies(V,U))).
% 283595 [binary:282942,283357] -is_a_theorem(implies(implies(implies(X,Y),Z),implies(implies(Y,U),Y))) | is_a_theorem(implies(X,Y)).
% 283603 [binary:282942,283359] -is_a_theorem(implies(implies(implies(X,implies(Y,Z)),U),Z)) | is_a_theorem(implies(X,implies(Y,Z))).
% 283605 [binary:282942,283383] -is_a_theorem(implies(implies(implies(X,Y),Z),implies(X,implies(X,Y)))) | is_a_theorem(implies(X,Y)).
% 283679 [binary:283181,283553] is_a_theorem(implies(implies(implies(implies(implies(X,Y),Z),implies(U,Z)),X),X)).
% 283682 [binary:282947.2,283679] is_a_theorem(implies(implies(X,implies(implies(implies(X,Y),Z),implies(U,Z))),implies(V,implies(implies(implies(X,Y),Z),implies(U,Z))))).
% 283696 [binary:283181,283570] is_a_theorem(implies(implies(implies(X,implies(implies(X,Y),implies(Z,Y))),U),U)).
% 283698 [binary:282942,283696] -is_a_theorem(implies(implies(X,implies(implies(X,Y),implies(Z,Y))),U)) | is_a_theorem(U).
% 283704 [binary:283679,283595] is_a_theorem(implies(implies(implies(implies(implies(implies(X,Y),Z),implies(X,Y)),U),Y),implies(X,Y))).
% 283793 [binary:283181,283277] is_a_theorem(implies(implies(X,implies(Y,implies(Z,implies(X,U)))),implies(Y,implies(Z,implies(X,U))))).
% 283865 [binary:283181,283568] is_a_theorem(implies(implies(implies(X,implies(implies(implies(Y,X),Z),implies(U,Z))),V),V)).
% 283866 [binary:282942,283865] -is_a_theorem(implies(implies(X,implies(implies(implies(Y,X),Z),implies(U,Z))),V)) | is_a_theorem(V).
% 283902 [binary:283595,283704] is_a_theorem(implies(implies(implies(implies(implies(X,Y),X),Z),implies(implies(X,Y),X)),X)).
% 283905 [binary:282947.2,283902] is_a_theorem(implies(implies(X,implies(implies(implies(X,Y),X),Z)),implies(U,implies(implies(implies(X,Y),X),Z)))).
% 283926 [binary:282942,283793] -is_a_theorem(implies(X,implies(Y,implies(Z,implies(X,U))))) | is_a_theorem(implies(Y,implies(Z,implies(X,U)))).
% 284000 [binary:282942,283382] -is_a_theorem(implies(implies(implies(X,implies(Y,Z)),U),implies(Y,implies(Y,Z)))) | is_a_theorem(implies(X,implies(Y,Z))).
% 284187 [binary:282942,283558] -is_a_theorem(implies(implies(implies(implies(X,Y),implies(Z,Y)),U),X)) | is_a_theorem(implies(implies(X,Y),implies(Z,Y))).
% 284231 [binary:282947.2,283905] is_a_theorem(implies(implies(implies(X,implies(implies(implies(Y,Z),Y),U)),Y),implies(V,Y))).
% 284251 [binary:283181,284231] is_a_theorem(implies(implies(implies(X,implies(implies(implies(Y,Z),Y),U)),Y),Y)).
% 284576 [binary:282942,283682] -is_a_theorem(implies(X,implies(implies(implies(X,Y),Z),implies(U,Z)))) | is_a_theorem(implies(V,implies(implies(implies(X,Y),Z),implies(U,Z)))).
% 284577 [binary:282947.2,283682] is_a_theorem(implies(implies(implies(X,implies(implies(implies(Y,Z),U),implies(V,U))),Y),implies(W,Y))).
% 284639 [binary:283181,284577] is_a_theorem(implies(implies(implies(X,implies(implies(implies(Y,Z),U),implies(V,U))),Y),Y)).
% 285037 [binary:284251,284187] is_a_theorem(implies(implies(X,Y),implies(implies(implies(X,Z),X),Y))).
% 285041 [binary:284639,284187] is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(implies(X,U),Z),implies(Y,Z)))).
% 285057 [binary:283698,285037] is_a_theorem(implies(implies(implies(X,Y),X),implies(implies(X,Z),implies(U,Z)))).
% 285378 [binary:282947.2,285057] is_a_theorem(implies(implies(implies(implies(X,Y),implies(Z,Y)),implies(X,U)),implies(V,implies(X,U)))).
% 285384 [binary:283603,285057] is_a_theorem(implies(X,implies(Y,implies(implies(X,Z),implies(U,Z))))).
% 285385 [binary:284000,285057] is_a_theorem(implies(X,implies(implies(X,Y),Y))).
% 285390 [binary:282942,285385] is_a_theorem(implies(implies(X,Y),Y)) | -is_a_theorem(X).
% 285396 [binary:283542,285385] is_a_theorem(implies(X,implies(implies(implies(Y,X),Z),Z))).
% 285452 [binary:285390.2,285396] is_a_theorem(implies(implies(implies(X,implies(implies(implies(Y,X),Z),Z)),U),U)).
% 285470 [binary:285390.2,285384] is_a_theorem(implies(implies(implies(X,implies(Y,implies(implies(X,Z),implies(U,Z)))),V),V)).
% 285838 [binary:282942,285452] -is_a_theorem(implies(implies(X,implies(implies(implies(Y,X),Z),Z)),U)) | is_a_theorem(U).
% 286024 [binary:283698,285041] is_a_theorem(implies(implies(implies(X,Y),implies(Z,U)),implies(implies(X,U),implies(Z,U)))).
% 286054 [binary:285838,285041] is_a_theorem(implies(implies(implies(X,Y),Z),implies(implies(implies(U,X),Z),Z))).
% 286083 [binary:282942,286054] is_a_theorem(implies(implies(implies(X,Y),Z),Z)) | -is_a_theorem(implies(implies(Y,U),Z)).
% 286476 [binary:282942,285470] -is_a_theorem(implies(implies(X,implies(Y,implies(implies(X,Z),implies(U,Z)))),V)) | is_a_theorem(V).
% 287344 [binary:282942,286024] -is_a_theorem(implies(implies(X,Y),implies(Z,U))) | is_a_theorem(implies(implies(X,U),implies(Z,U))).
% 287350 [binary:283866,286024] is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(implies(U,implies(X,V)),Z),implies(Y,Z)))).
% 290332 [binary:283181,285378] is_a_theorem(implies(implies(implies(implies(X,Y),implies(Z,Y)),implies(X,U)),implies(X,U))).
% 290376 [binary:287344,290332] is_a_theorem(implies(implies(implies(implies(X,Y),implies(Z,Y)),U),implies(X,U))).
% 290400 [binary:282942,290376] -is_a_theorem(implies(implies(implies(X,Y),implies(Z,Y)),U)) | is_a_theorem(implies(X,U)).
% 307379 [binary:290400,287350] is_a_theorem(implies(X,implies(implies(implies(Y,implies(implies(X,Z),U)),Z),implies(V,Z)))).
% 307405 [binary:284576,307379] is_a_theorem(implies(X,implies(implies(implies(Y,implies(implies(Y,Z),U)),Z),implies(V,Z)))).
% 307413 [binary:283605,307405] is_a_theorem(implies(implies(implies(X,implies(implies(X,Y),Z)),Y),Y)).
% 307431 [binary:286083.2,307413] is_a_theorem(implies(implies(implies(X,implies(Y,implies(implies(Y,Z),U))),Z),Z)).
% 307455 [binary:284187,307431] is_a_theorem(implies(implies(X,implies(implies(Y,X),Z)),implies(Y,implies(implies(Y,X),Z)))).
% 307580 [binary:286476,307455] is_a_theorem(implies(X,implies(implies(X,Y),implies(implies(Y,Z),implies(U,Z))))).
% 311028 [binary:283926,307580,slowcut:282945] 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 5
% clause depth limited to 7
% seconds given: 111
% 
% 
% ***GANDALF_FOUND_A_REFUTATION***
% 
% Global statistics over all passes: 
% 
%  given clauses:    18310
%  derived clauses:   7010829
%  kept clauses:      234213
%  kept size sum:     645124
%  kept mid-nuclei:   39277
%  kept new demods:   0
%  forw unit-subs:    4768215
%  forw double-subs: 347546
%  forw overdouble-subs: 99233
%  backward subs:     2118
%  fast unit cutoff:  4632
%  full unit cutoff:  2478
%  dbl  unit cutoff:  401
%  real runtime  :  239.16
%  process. runtime:  237.8
% specific non-discr-tree subsumption statistics: 
%  tried:           5583326
%  length fails:    343555
%  strength fails:  741350
%  predlist fails:  1080212
%  aux str. fails:  709597
%  by-lit fails:    102460
%  full subs tried: 2554344
%  full subs fail:  2451048
% 
% ; 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/LCL/LCL084-2+noeq.in")
% 
%------------------------------------------------------------------------------