TSTP Solution File: LCL038-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : LCL038-1 : 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 : art07.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 237.9s
% Output : Assurance 237.9s
% 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/LCL038-1+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(3,40,0,6,0,0,9,50,0,12,0,0,31,50,0,34,0,0,707,50,16,710,0,16,10143,4,2118,11364,5,2817,11365,1,2817,11365,50,2818,11365,40,2818,11368,0,2818,11371,50,2818,11374,0,2818,13850,50,2975,13853,0,2975,29084,3,3428,35182,4,3653,39101,5,3876,39101,5,3876,39102,1,3876,39102,50,3878,39102,40,3878,39105,0,3878,71674,3,4734,81421,4,5154,82681,5,5579,82681,1,5579,82681,50,5580,82681,40,5580,82684,0,5580,98429,4,7758,98980,5,8481,98981,1,8483,98981,50,8484,98981,40,8484,98984,0,8484,130185,3,10393,137895,4,11051,145750,5,11887,145750,5,11888,145751,1,11891,145751,50,11895,145751,40,11895,145754,0,11895,160325,3,13907,164493,4,14899,167856,5,15896,167857,5,15896,167857,1,15896,167857,50,15898,167857,40,15898,167860,0,15898,194360,3,16749,196767,4,17174,203900,5,17599,203901,5,17599,203902,1,17599,203902,50,17600,203902,40,17600,203905,0,17600,232193,3,19090,238338,4,19790,244754,5,20501,244756,5,20501,244756,1,20501,244756,50,20503,244756,40,20503,244759,0,20503,244762,50,20503,244765,0,20503,244897,50,20504,244900,0,20509,246514,50,20612,246517,0,20612)
%
%
% START OF PROOF
% 244970 [?] ?
% 246515 [] -is_a_theorem(implies(X,Y)) | -is_a_theorem(X) | is_a_theorem(Y).
% 246516 [] is_a_theorem(implies(implies(implies(X,Y),Z),implies(implies(Z,X),implies(U,X)))).
% 246517 [] -is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))).
% 246519 [binary:246515,246516] is_a_theorem(implies(implies(X,Y),implies(Z,Y))) | -is_a_theorem(implies(implies(Y,U),X)).
% 246521 [binary:246516,246519.2] is_a_theorem(implies(implies(implies(implies(X,Y),implies(Z,Y)),implies(Y,U)),implies(V,implies(Y,U)))).
% 246522 [binary:246515,246521] -is_a_theorem(implies(implies(implies(X,Y),implies(Z,Y)),implies(Y,U))) | is_a_theorem(implies(V,implies(Y,U))).
% 246523 [binary:246519.2,246521] 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))))).
% 246525 [binary:246521,246522] is_a_theorem(implies(X,implies(implies(Y,Z),implies(Z,implies(Y,Z))))).
% 246527 [binary:246515,246525,slowcut:246525] is_a_theorem(implies(implies(X,Y),implies(Y,implies(X,Y)))).
% 246530 [binary:246519.2,246527] is_a_theorem(implies(implies(implies(X,implies(Y,X)),Y),implies(Z,Y))).
% 246540 [binary:246519.2,246523] 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))))).
% 246541 [binary:246522,246523] is_a_theorem(implies(X,implies(implies(Y,Y),implies(implies(Z,Y),implies(Y,Y))))).
% 246542 [?] ?
% 246544 [binary:246515,246541,slowcut:246542] is_a_theorem(implies(implies(X,X),implies(implies(Y,X),implies(X,X)))).
% 246547 [binary:246515,246544,cut:244970] is_a_theorem(implies(implies(X,Y),implies(Y,Y))).
% 246549 [binary:246515,246547] -is_a_theorem(implies(X,Y)) | is_a_theorem(implies(Y,Y)).
% 246550 [binary:246519.2,246547] is_a_theorem(implies(implies(implies(X,X),Y),implies(Z,Y))).
% 246554 [binary:246530,246549] is_a_theorem(implies(implies(X,Y),implies(X,Y))).
% 246555 [binary:246519.2,246554] is_a_theorem(implies(implies(implies(X,Y),X),implies(Z,X))).
% 246561 [binary:246515,246550] -is_a_theorem(implies(implies(X,X),Y)) | is_a_theorem(implies(Z,Y)).
% 246563 [binary:246522,246550] is_a_theorem(implies(X,implies(Y,implies(Z,Y)))).
% 246564 [?] ?
% 246566 [binary:246515,246563,slowcut:246564] is_a_theorem(implies(X,implies(Y,X))).
% 246567 [binary:246519.2,246563] is_a_theorem(implies(implies(implies(X,implies(Y,X)),Z),implies(U,Z))).
% 246568 [binary:246515,246566] is_a_theorem(implies(X,Y)) | -is_a_theorem(Y).
% 246569 [binary:246519.2,246566] is_a_theorem(implies(implies(implies(X,implies(Y,Z)),Y),implies(U,Y))).
% 246579 [binary:246550,246568.2] is_a_theorem(implies(X,implies(implies(implies(Y,Y),Z),implies(U,Z)))).
% 246582 [binary:246519.2,246555] is_a_theorem(implies(implies(implies(X,Y),implies(Y,Z)),implies(U,implies(Y,Z)))).
% 246583 [binary:246568.2,246555] is_a_theorem(implies(X,implies(implies(implies(Y,Z),Y),implies(U,Y)))).
% 246587 [binary:246550,246561] is_a_theorem(implies(X,implies(Y,implies(Z,Z)))).
% 246590 [binary:246519.2,246587] is_a_theorem(implies(implies(implies(X,implies(Y,Y)),Z),implies(U,Z))).
% 246601 [binary:246568.2,246569] is_a_theorem(implies(X,implies(implies(implies(Y,implies(Z,U)),Z),implies(V,Z)))).
% 246620 [binary:246519.2,246579] is_a_theorem(implies(implies(implies(implies(implies(X,X),Y),implies(Z,Y)),U),implies(V,U))).
% 246623 [binary:246519.2,246583] is_a_theorem(implies(implies(implies(implies(implies(X,Y),X),implies(Z,X)),U),implies(V,U))).
% 246636 [binary:246515,246540] -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)))).
% 246648 [binary:246519.2,246582] is_a_theorem(implies(implies(implies(X,implies(Y,Z)),implies(U,Y)),implies(V,implies(U,Y)))).
% 246665 [binary:246519.2,246601] is_a_theorem(implies(implies(implies(implies(implies(X,implies(Y,Z)),Y),implies(U,Y)),V),implies(W,V))).
% 246676 [binary:246515,246620] -is_a_theorem(implies(implies(implies(implies(X,X),Y),implies(Z,Y)),U)) | is_a_theorem(implies(V,U)).
% 246678 [binary:246515,246623] -is_a_theorem(implies(implies(implies(implies(X,Y),X),implies(Z,X)),U)) | is_a_theorem(implies(V,U)).
% 246682 [binary:246515,246648] -is_a_theorem(implies(implies(X,implies(Y,Z)),implies(U,Y))) | is_a_theorem(implies(V,implies(U,Y))).
% 246696 [binary:246516,246682] is_a_theorem(implies(X,implies(implies(implies(implies(Y,Z),U),Z),implies(Y,Z)))).
% 246698 [binary:246515,246696,slowcut:246696] is_a_theorem(implies(implies(implies(implies(X,Y),Z),Y),implies(X,Y))).
% 246701 [binary:246515,246698] -is_a_theorem(implies(implies(implies(X,Y),Z),Y)) | is_a_theorem(implies(X,Y)).
% 246702 [binary:246519.2,246698] is_a_theorem(implies(implies(implies(X,Y),implies(implies(X,Y),Z)),implies(U,implies(implies(X,Y),Z)))).
% 246713 [binary:246515,246665] -is_a_theorem(implies(implies(implies(implies(X,implies(Y,Z)),Y),implies(U,Y)),V)) | is_a_theorem(implies(W,V)).
% 246723 [binary:246676,246702] is_a_theorem(implies(X,implies(Y,implies(implies(implies(Z,Z),U),U)))).
% 246724 [binary:246678,246702] is_a_theorem(implies(X,implies(Y,implies(implies(implies(Z,U),Z),Z)))).
% 246726 [binary:246515,246723,slowcut:246724] is_a_theorem(implies(X,implies(implies(implies(Y,Y),Z),Z))).
% 246731 [binary:246519.2,246726] is_a_theorem(implies(implies(implies(implies(implies(X,X),Y),Y),Z),implies(U,Z))).
% 246735 [binary:246515,246724,slowcut:246731] is_a_theorem(implies(X,implies(implies(implies(Y,Z),Y),Y))).
% 246737 [binary:246568.2,246724] is_a_theorem(implies(X,implies(Y,implies(Z,implies(implies(implies(U,V),U),U))))).
% 246739 [binary:246515,246735,slowcut:246737] is_a_theorem(implies(implies(implies(X,Y),X),X)).
% 246742 [binary:246519.2,246739] is_a_theorem(implies(implies(X,implies(X,Y)),implies(Z,implies(X,Y)))).
% 246744 [binary:246515,246742] -is_a_theorem(implies(X,implies(X,Y))) | is_a_theorem(implies(Z,implies(X,Y))).
% 246753 [binary:246567,246744] is_a_theorem(implies(X,implies(implies(implies(Y,implies(Z,Y)),U),U))).
% 246754 [binary:246569,246744] is_a_theorem(implies(X,implies(implies(implies(Y,implies(Z,U)),Z),Z))).
% 246755 [binary:246590,246744] is_a_theorem(implies(X,implies(implies(implies(Y,implies(Z,Z)),U),U))).
% 246766 [binary:246742,246744] is_a_theorem(implies(X,implies(implies(Y,implies(Y,Z)),implies(Y,Z)))).
% 246770 [binary:246568.2,246753] is_a_theorem(implies(X,implies(Y,implies(implies(implies(Z,implies(U,Z)),V),V)))).
% 246774 [binary:246515,246754,slowcut:246770] is_a_theorem(implies(implies(implies(X,implies(Y,Z)),Y),Y)).
% 246778 [binary:246519.2,246774] is_a_theorem(implies(implies(X,implies(Y,implies(X,Z))),implies(U,implies(Y,implies(X,Z))))).
% 246783 [binary:246568.2,246755] is_a_theorem(implies(X,implies(Y,implies(implies(implies(Z,implies(U,U)),V),V)))).
% 246787 [binary:246515,246766,slowcut:246783] is_a_theorem(implies(implies(X,implies(X,Y)),implies(X,Y))).
% 246791 [binary:246515,246787] -is_a_theorem(implies(X,implies(X,Y))) | is_a_theorem(implies(X,Y)).
% 246796 [binary:246582,246791] is_a_theorem(implies(implies(implies(X,Y),implies(Y,Z)),implies(Y,Z))).
% 246801 [binary:246623,246791] is_a_theorem(implies(implies(implies(implies(implies(X,Y),X),implies(Z,X)),U),U)).
% 246815 [binary:246519.2,246796] is_a_theorem(implies(implies(implies(X,Y),implies(Z,X)),implies(U,implies(Z,X)))).
% 246840 [binary:246515,246801] -is_a_theorem(implies(implies(implies(implies(X,Y),X),implies(Z,X)),U)) | is_a_theorem(U).
% 246842 [binary:246516,246636] is_a_theorem(implies(X,implies(implies(implies(implies(Y,Z),implies(U,Z)),V),implies(Z,V)))).
% 246853 [binary:246701,246815] is_a_theorem(implies(X,implies(Y,implies(Z,X)))).
% 246856 [binary:246519.2,246853] is_a_theorem(implies(implies(implies(X,implies(Y,implies(Z,U))),Z),implies(V,Z))).
% 246858 [binary:246568.2,246853] is_a_theorem(implies(X,implies(Y,implies(Z,implies(U,Y))))).
% 246868 [binary:246519.2,246858] is_a_theorem(implies(implies(implies(X,implies(Y,implies(Z,X))),U),implies(V,U))).
% 246888 [binary:246791,246856] is_a_theorem(implies(implies(implies(X,implies(Y,implies(Z,U))),Z),Z)).
% 246890 [binary:246519.2,246888] is_a_theorem(implies(implies(X,implies(Y,implies(Z,implies(X,U)))),implies(V,implies(Y,implies(Z,implies(X,U)))))).
% 246903 [binary:246791,246868] is_a_theorem(implies(implies(implies(X,implies(Y,implies(Z,X))),U),U)).
% 246908 [binary:246515,246903] -is_a_theorem(implies(implies(X,implies(Y,implies(Z,X))),U)) | is_a_theorem(U).
% 246950 [binary:246791,246778] is_a_theorem(implies(implies(X,implies(Y,implies(X,Z))),implies(Y,implies(X,Z)))).
% 246951 [binary:246515,246950] -is_a_theorem(implies(X,implies(Y,implies(X,Z)))) | is_a_theorem(implies(Y,implies(X,Z))).
% 246954 [binary:246516,246951] is_a_theorem(implies(implies(X,Y),implies(implies(implies(Y,Z),X),Y))).
% 246955 [binary:246515,246954] is_a_theorem(implies(implies(implies(X,Y),Z),X)) | -is_a_theorem(implies(Z,X)).
% 246966 [binary:246840,246954] is_a_theorem(implies(implies(implies(implies(X,Y),Z),implies(implies(Y,U),Y)),implies(X,Y))).
% 246967 [binary:246908,246954] is_a_theorem(implies(implies(implies(implies(X,implies(Y,Z)),U),Z),implies(X,implies(Y,Z)))).
% 246992 [binary:246742,246955.2] is_a_theorem(implies(implies(implies(implies(X,implies(Y,Z)),U),implies(Y,implies(Y,Z))),implies(X,implies(Y,Z)))).
% 246994 [binary:246787,246955.2] is_a_theorem(implies(implies(implies(implies(X,Y),Z),implies(X,implies(X,Y))),implies(X,Y))).
% 247095 [binary:246954,246713] is_a_theorem(implies(X,implies(implies(implies(implies(Y,Z),U),implies(implies(V,implies(Z,W)),Z)),implies(Y,Z)))).
% 247097 [binary:246515,246842,slowcut:247095] is_a_theorem(implies(implies(implies(implies(X,Y),implies(Z,Y)),U),implies(Y,U))).
% 247100 [binary:246515,247097] -is_a_theorem(implies(implies(implies(X,Y),implies(Z,Y)),U)) | is_a_theorem(implies(Y,U)).
% 247105 [binary:246516,247100] is_a_theorem(implies(X,implies(implies(implies(Y,X),Z),implies(U,Z)))).
% 247115 [binary:246951,247105] is_a_theorem(implies(implies(implies(X,Y),Z),implies(Y,Z))).
% 247121 [binary:246515,247115] -is_a_theorem(implies(implies(X,Y),Z)) | is_a_theorem(implies(Y,Z)).
% 247129 [binary:246516,247121] is_a_theorem(implies(X,implies(implies(X,Y),implies(Z,Y)))).
% 247138 [binary:246515,247129] is_a_theorem(implies(implies(X,Y),implies(Z,Y))) | -is_a_theorem(X).
% 247139 [binary:246519.2,247129] is_a_theorem(implies(implies(implies(implies(implies(X,Y),Z),implies(U,Z)),X),implies(V,X))).
% 247144 [binary:246955.2,247129] is_a_theorem(implies(implies(implies(implies(implies(X,Y),implies(Z,Y)),U),X),implies(implies(X,Y),implies(Z,Y)))).
% 247154 [binary:247105,247138.2] is_a_theorem(implies(implies(implies(X,implies(implies(implies(Y,X),Z),implies(U,Z))),V),implies(W,V))).
% 247157 [binary:247129,247138.2] is_a_theorem(implies(implies(implies(X,implies(implies(X,Y),implies(Z,Y))),U),implies(V,U))).
% 247219 [binary:246515,246966] -is_a_theorem(implies(implies(implies(X,Y),Z),implies(implies(Y,U),Y))) | is_a_theorem(implies(X,Y)).
% 247223 [binary:246515,246967] -is_a_theorem(implies(implies(implies(X,implies(Y,Z)),U),Z)) | is_a_theorem(implies(X,implies(Y,Z))).
% 247225 [binary:246515,246994] -is_a_theorem(implies(implies(implies(X,Y),Z),implies(X,implies(X,Y)))) | is_a_theorem(implies(X,Y)).
% 247292 [binary:246791,247139] is_a_theorem(implies(implies(implies(implies(implies(X,Y),Z),implies(U,Z)),X),X)).
% 247295 [binary:246519.2,247292] 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))))).
% 247313 [binary:246791,247157] is_a_theorem(implies(implies(implies(X,implies(implies(X,Y),implies(Z,Y))),U),U)).
% 247315 [binary:246515,247313] -is_a_theorem(implies(implies(X,implies(implies(X,Y),implies(Z,Y))),U)) | is_a_theorem(U).
% 247329 [binary:247292,247219] is_a_theorem(implies(implies(implies(implies(implies(implies(X,Y),Z),implies(X,Y)),U),Y),implies(X,Y))).
% 247371 [binary:246791,246890] is_a_theorem(implies(implies(X,implies(Y,implies(Z,implies(X,U)))),implies(Y,implies(Z,implies(X,U))))).
% 247476 [binary:246791,247154] is_a_theorem(implies(implies(implies(X,implies(implies(implies(Y,X),Z),implies(U,Z))),V),V)).
% 247477 [binary:246515,247476] -is_a_theorem(implies(implies(X,implies(implies(implies(Y,X),Z),implies(U,Z))),V)) | is_a_theorem(V).
% 247527 [binary:247219,247329] is_a_theorem(implies(implies(implies(implies(implies(X,Y),X),Z),implies(implies(X,Y),X)),X)).
% 247533 [binary:246519.2,247527] is_a_theorem(implies(implies(X,implies(implies(implies(X,Y),X),Z)),implies(U,implies(implies(implies(X,Y),X),Z)))).
% 247539 [binary:246515,247371] -is_a_theorem(implies(X,implies(Y,implies(Z,implies(X,U))))) | is_a_theorem(implies(Y,implies(Z,implies(X,U)))).
% 247618 [binary:246515,246992] -is_a_theorem(implies(implies(implies(X,implies(Y,Z)),U),implies(Y,implies(Y,Z)))) | is_a_theorem(implies(X,implies(Y,Z))).
% 247779 [binary:246515,247144] -is_a_theorem(implies(implies(implies(implies(X,Y),implies(Z,Y)),U),X)) | is_a_theorem(implies(implies(X,Y),implies(Z,Y))).
% 248087 [binary:246519.2,247533] is_a_theorem(implies(implies(implies(X,implies(implies(implies(Y,Z),Y),U)),Y),implies(V,Y))).
% 248121 [binary:246791,248087] is_a_theorem(implies(implies(implies(X,implies(implies(implies(Y,Z),Y),U)),Y),Y)).
% 248157 [binary:246515,247295] -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)))).
% 248158 [binary:246519.2,247295] is_a_theorem(implies(implies(implies(X,implies(implies(implies(Y,Z),U),implies(V,U))),Y),implies(W,Y))).
% 248247 [binary:246791,248158] is_a_theorem(implies(implies(implies(X,implies(implies(implies(Y,Z),U),implies(V,U))),Y),Y)).
% 248653 [binary:248121,247779] is_a_theorem(implies(implies(X,Y),implies(implies(implies(X,Z),X),Y))).
% 248655 [binary:248247,247779] is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(implies(X,U),Z),implies(Y,Z)))).
% 248697 [binary:247315,248653] is_a_theorem(implies(implies(implies(X,Y),X),implies(implies(X,Z),implies(U,Z)))).
% 249005 [binary:246519.2,248697] is_a_theorem(implies(implies(implies(implies(X,Y),implies(Z,Y)),implies(X,U)),implies(V,implies(X,U)))).
% 249011 [binary:247223,248697] is_a_theorem(implies(X,implies(Y,implies(implies(X,Z),implies(U,Z))))).
% 249012 [binary:247618,248697] is_a_theorem(implies(X,implies(implies(X,Y),Y))).
% 249016 [binary:246515,249012] is_a_theorem(implies(implies(X,Y),Y)) | -is_a_theorem(X).
% 249022 [binary:247121,249012] is_a_theorem(implies(X,implies(implies(implies(Y,X),Z),Z))).
% 249080 [binary:249016.2,249022] is_a_theorem(implies(implies(implies(X,implies(implies(implies(Y,X),Z),Z)),U),U)).
% 249093 [binary:249016.2,249011] is_a_theorem(implies(implies(implies(X,implies(Y,implies(implies(X,Z),implies(U,Z)))),V),V)).
% 249440 [binary:246515,249080] -is_a_theorem(implies(implies(X,implies(implies(implies(Y,X),Z),Z)),U)) | is_a_theorem(U).
% 249625 [binary:247315,248655] is_a_theorem(implies(implies(implies(X,Y),implies(Z,U)),implies(implies(X,U),implies(Z,U)))).
% 249654 [binary:249440,248655] is_a_theorem(implies(implies(implies(X,Y),Z),implies(implies(implies(U,X),Z),Z))).
% 249684 [binary:246515,249654] is_a_theorem(implies(implies(implies(X,Y),Z),Z)) | -is_a_theorem(implies(implies(Y,U),Z)).
% 250085 [binary:246515,249093] -is_a_theorem(implies(implies(X,implies(Y,implies(implies(X,Z),implies(U,Z)))),V)) | is_a_theorem(V).
% 250937 [binary:246515,249625] -is_a_theorem(implies(implies(X,Y),implies(Z,U))) | is_a_theorem(implies(implies(X,U),implies(Z,U))).
% 250943 [binary:247477,249625] is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(implies(U,implies(X,V)),Z),implies(Y,Z)))).
% 253719 [binary:246791,249005] is_a_theorem(implies(implies(implies(implies(X,Y),implies(Z,Y)),implies(X,U)),implies(X,U))).
% 253764 [binary:250937,253719] is_a_theorem(implies(implies(implies(implies(X,Y),implies(Z,Y)),U),implies(X,U))).
% 253790 [binary:246515,253764] -is_a_theorem(implies(implies(implies(X,Y),implies(Z,Y)),U)) | is_a_theorem(implies(X,U)).
% 271032 [binary:253790,250943] is_a_theorem(implies(X,implies(implies(implies(Y,implies(implies(X,Z),U)),Z),implies(V,Z)))).
% 271058 [binary:248157,271032] is_a_theorem(implies(X,implies(implies(implies(Y,implies(implies(Y,Z),U)),Z),implies(V,Z)))).
% 271066 [binary:247225,271058] is_a_theorem(implies(implies(implies(X,implies(implies(X,Y),Z)),Y),Y)).
% 271084 [binary:249684.2,271066] is_a_theorem(implies(implies(implies(X,implies(Y,implies(implies(Y,Z),U))),Z),Z)).
% 271113 [binary:247779,271084] is_a_theorem(implies(implies(X,implies(implies(Y,X),Z)),implies(Y,implies(implies(Y,X),Z)))).
% 271247 [binary:250085,271113] is_a_theorem(implies(X,implies(implies(X,Y),implies(implies(Y,Z),implies(U,Z))))).
% 274711 [binary:247539,271247,slowcut:246517] 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: 18013
% derived clauses: 6495787
% kept clauses: 209321
% kept size sum: 648306
% kept mid-nuclei: 36067
% kept new demods: 0
% forw unit-subs: 4754347
% forw double-subs: 310125
% forw overdouble-subs: 88192
% backward subs: 2457
% fast unit cutoff: 5650
% full unit cutoff: 2309
% dbl unit cutoff: 500
% real runtime : 240.74
% process. runtime: 238.43
% specific non-discr-tree subsumption statistics:
% tried: 6312280
% length fails: 326332
% strength fails: 813466
% predlist fails: 1255544
% aux str. fails: 769820
% by-lit fails: 148180
% full subs tried: 2927057
% full subs fail: 2833576
%
% ; 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/LCL038-1+noeq.in")
%
%------------------------------------------------------------------------------