TSTP Solution File: LCL085-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : LCL085-1 : 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 198.1s
% Output : Assurance 198.1s
% 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/LCL085-1+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(3,40,0,6,0,0,9,50,0,12,0,0,31,50,0,34,0,0,707,50,17,710,0,17,9409,4,2118,10839,5,2818,10839,1,2818,10839,50,2818,10839,40,2818,10842,0,2818,10845,50,2818,10848,0,2819,11587,50,2839,11590,0,2839,26173,3,3340,31280,4,3591,34508,5,3841,34508,5,3841,34509,1,3841,34509,50,3843,34509,40,3843,34512,0,3843,62445,3,4699,72701,4,5121,75149,5,5544,75149,1,5544,75149,50,5545,75149,40,5545,75152,0,5545,90932,4,7721,91510,5,8447,91511,1,8448,91511,50,8449,91511,40,8449,91514,0,8449,112858,3,10150,118244,4,11004,123241,5,11850,123242,5,11850,123243,1,11850,123243,50,11853,123243,40,11853,123246,0,11853,139704,3,13854,144015,4,14861,148269,5,15854,148271,1,15854,148271,50,15856,148271,40,15856,148274,0,15856,175292,3,16713,176994,4,17132,182469,1,17557,182469,50,17558,182469,40,17558,182472,0,17558,210707,3,19022,217473,4,19744,223176,5,20459,223177,5,20459,223177,1,20459,223177,50,20461,223177,40,20461,223180,0,20461,223183,50,20461,223186,0,20461,223297,50,20461,223300,0,20467,224916,50,20575,224919,0,20575)
%
%
% START OF PROOF
% 223370 [?] ?
% 224917 [] -is_a_theorem(implies(X,Y)) | -is_a_theorem(X) | is_a_theorem(Y).
% 224918 [] is_a_theorem(implies(implies(implies(X,Y),Z),implies(implies(Z,X),implies(U,X)))).
% 224919 [] -is_a_theorem(implies(a,implies(implies(a,b),b))).
% 224921 [binary:224917,224918] is_a_theorem(implies(implies(X,Y),implies(Z,Y))) | -is_a_theorem(implies(implies(Y,U),X)).
% 224923 [binary:224918,224921.2] is_a_theorem(implies(implies(implies(implies(X,Y),implies(Z,Y)),implies(Y,U)),implies(V,implies(Y,U)))).
% 224924 [binary:224917,224923] -is_a_theorem(implies(implies(implies(X,Y),implies(Z,Y)),implies(Y,U))) | is_a_theorem(implies(V,implies(Y,U))).
% 224925 [binary:224921.2,224923] 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))))).
% 224927 [binary:224923,224924] is_a_theorem(implies(X,implies(implies(Y,Z),implies(Z,implies(Y,Z))))).
% 224929 [binary:224917,224927,slowcut:224927] is_a_theorem(implies(implies(X,Y),implies(Y,implies(X,Y)))).
% 224932 [binary:224921.2,224929] is_a_theorem(implies(implies(implies(X,implies(Y,X)),Y),implies(Z,Y))).
% 224942 [binary:224921.2,224925] 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))))).
% 224943 [binary:224924,224925] is_a_theorem(implies(X,implies(implies(Y,Y),implies(implies(Z,Y),implies(Y,Y))))).
% 224944 [?] ?
% 224946 [binary:224917,224943,slowcut:224944] is_a_theorem(implies(implies(X,X),implies(implies(Y,X),implies(X,X)))).
% 224949 [binary:224917,224946,cut:223370] is_a_theorem(implies(implies(X,Y),implies(Y,Y))).
% 224951 [binary:224917,224949] -is_a_theorem(implies(X,Y)) | is_a_theorem(implies(Y,Y)).
% 224952 [binary:224921.2,224949] is_a_theorem(implies(implies(implies(X,X),Y),implies(Z,Y))).
% 224956 [binary:224932,224951] is_a_theorem(implies(implies(X,Y),implies(X,Y))).
% 224957 [binary:224921.2,224956] is_a_theorem(implies(implies(implies(X,Y),X),implies(Z,X))).
% 224963 [binary:224917,224952] -is_a_theorem(implies(implies(X,X),Y)) | is_a_theorem(implies(Z,Y)).
% 224965 [binary:224924,224952] is_a_theorem(implies(X,implies(Y,implies(Z,Y)))).
% 224966 [?] ?
% 224968 [binary:224917,224965,slowcut:224966] is_a_theorem(implies(X,implies(Y,X))).
% 224969 [binary:224921.2,224965] is_a_theorem(implies(implies(implies(X,implies(Y,X)),Z),implies(U,Z))).
% 224970 [binary:224917,224968] is_a_theorem(implies(X,Y)) | -is_a_theorem(Y).
% 224971 [binary:224921.2,224968] is_a_theorem(implies(implies(implies(X,implies(Y,Z)),Y),implies(U,Y))).
% 224981 [binary:224952,224970.2] is_a_theorem(implies(X,implies(implies(implies(Y,Y),Z),implies(U,Z)))).
% 224984 [binary:224921.2,224957] is_a_theorem(implies(implies(implies(X,Y),implies(Y,Z)),implies(U,implies(Y,Z)))).
% 224985 [binary:224970.2,224957] is_a_theorem(implies(X,implies(implies(implies(Y,Z),Y),implies(U,Y)))).
% 224989 [binary:224952,224963] is_a_theorem(implies(X,implies(Y,implies(Z,Z)))).
% 224992 [binary:224921.2,224989] is_a_theorem(implies(implies(implies(X,implies(Y,Y)),Z),implies(U,Z))).
% 225003 [binary:224970.2,224971] is_a_theorem(implies(X,implies(implies(implies(Y,implies(Z,U)),Z),implies(V,Z)))).
% 225022 [binary:224921.2,224981] is_a_theorem(implies(implies(implies(implies(implies(X,X),Y),implies(Z,Y)),U),implies(V,U))).
% 225025 [binary:224921.2,224985] is_a_theorem(implies(implies(implies(implies(implies(X,Y),X),implies(Z,X)),U),implies(V,U))).
% 225038 [binary:224917,224942] -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)))).
% 225050 [binary:224921.2,224984] is_a_theorem(implies(implies(implies(X,implies(Y,Z)),implies(U,Y)),implies(V,implies(U,Y)))).
% 225067 [binary:224921.2,225003] is_a_theorem(implies(implies(implies(implies(implies(X,implies(Y,Z)),Y),implies(U,Y)),V),implies(W,V))).
% 225078 [binary:224917,225022] -is_a_theorem(implies(implies(implies(implies(X,X),Y),implies(Z,Y)),U)) | is_a_theorem(implies(V,U)).
% 225080 [binary:224917,225025] -is_a_theorem(implies(implies(implies(implies(X,Y),X),implies(Z,X)),U)) | is_a_theorem(implies(V,U)).
% 225084 [binary:224917,225050] -is_a_theorem(implies(implies(X,implies(Y,Z)),implies(U,Y))) | is_a_theorem(implies(V,implies(U,Y))).
% 225098 [binary:224918,225084] is_a_theorem(implies(X,implies(implies(implies(implies(Y,Z),U),Z),implies(Y,Z)))).
% 225100 [binary:224917,225098,slowcut:225098] is_a_theorem(implies(implies(implies(implies(X,Y),Z),Y),implies(X,Y))).
% 225104 [binary:224921.2,225100] is_a_theorem(implies(implies(implies(X,Y),implies(implies(X,Y),Z)),implies(U,implies(implies(X,Y),Z)))).
% 225115 [binary:224917,225067] -is_a_theorem(implies(implies(implies(implies(X,implies(Y,Z)),Y),implies(U,Y)),V)) | is_a_theorem(implies(W,V)).
% 225125 [binary:225078,225104] is_a_theorem(implies(X,implies(Y,implies(implies(implies(Z,Z),U),U)))).
% 225126 [binary:225080,225104] is_a_theorem(implies(X,implies(Y,implies(implies(implies(Z,U),Z),Z)))).
% 225128 [binary:224917,225125,slowcut:225126] is_a_theorem(implies(X,implies(implies(implies(Y,Y),Z),Z))).
% 225133 [binary:224921.2,225128] is_a_theorem(implies(implies(implies(implies(implies(X,X),Y),Y),Z),implies(U,Z))).
% 225137 [binary:224917,225126,slowcut:225133] is_a_theorem(implies(X,implies(implies(implies(Y,Z),Y),Y))).
% 225139 [binary:224970.2,225126] is_a_theorem(implies(X,implies(Y,implies(Z,implies(implies(implies(U,V),U),U))))).
% 225141 [binary:224917,225137,slowcut:225139] is_a_theorem(implies(implies(implies(X,Y),X),X)).
% 225144 [binary:224921.2,225141] is_a_theorem(implies(implies(X,implies(X,Y)),implies(Z,implies(X,Y)))).
% 225146 [binary:224917,225144] -is_a_theorem(implies(X,implies(X,Y))) | is_a_theorem(implies(Z,implies(X,Y))).
% 225155 [binary:224969,225146] is_a_theorem(implies(X,implies(implies(implies(Y,implies(Z,Y)),U),U))).
% 225156 [binary:224971,225146] is_a_theorem(implies(X,implies(implies(implies(Y,implies(Z,U)),Z),Z))).
% 225157 [binary:224992,225146] is_a_theorem(implies(X,implies(implies(implies(Y,implies(Z,Z)),U),U))).
% 225169 [binary:225144,225146] is_a_theorem(implies(X,implies(implies(Y,implies(Y,Z)),implies(Y,Z)))).
% 225173 [binary:224970.2,225155] is_a_theorem(implies(X,implies(Y,implies(implies(implies(Z,implies(U,Z)),V),V)))).
% 225177 [binary:224917,225156,slowcut:225173] is_a_theorem(implies(implies(implies(X,implies(Y,Z)),Y),Y)).
% 225181 [binary:224921.2,225177] is_a_theorem(implies(implies(X,implies(Y,implies(X,Z))),implies(U,implies(Y,implies(X,Z))))).
% 225186 [binary:224970.2,225157] is_a_theorem(implies(X,implies(Y,implies(implies(implies(Z,implies(U,U)),V),V)))).
% 225190 [binary:224917,225169,slowcut:225186] is_a_theorem(implies(implies(X,implies(X,Y)),implies(X,Y))).
% 225194 [binary:224917,225190] -is_a_theorem(implies(X,implies(X,Y))) | is_a_theorem(implies(X,Y)).
% 225204 [binary:225025,225194] is_a_theorem(implies(implies(implies(implies(implies(X,Y),X),implies(Z,X)),U),U)).
% 225243 [binary:224917,225204] -is_a_theorem(implies(implies(implies(implies(X,Y),X),implies(Z,X)),U)) | is_a_theorem(U).
% 225245 [binary:224918,225038] is_a_theorem(implies(X,implies(implies(implies(implies(Y,Z),implies(U,Z)),V),implies(Z,V)))).
% 225353 [binary:225194,225181] is_a_theorem(implies(implies(X,implies(Y,implies(X,Z))),implies(Y,implies(X,Z)))).
% 225354 [binary:224917,225353] -is_a_theorem(implies(X,implies(Y,implies(X,Z)))) | is_a_theorem(implies(Y,implies(X,Z))).
% 225357 [binary:224918,225354] is_a_theorem(implies(implies(X,Y),implies(implies(implies(Y,Z),X),Y))).
% 225358 [binary:224917,225357] is_a_theorem(implies(implies(implies(X,Y),Z),X)) | -is_a_theorem(implies(Z,X)).
% 225369 [binary:225243,225357] is_a_theorem(implies(implies(implies(implies(X,Y),Z),implies(implies(Y,U),Y)),implies(X,Y))).
% 225396 [binary:225144,225358.2] is_a_theorem(implies(implies(implies(implies(X,implies(Y,Z)),U),implies(Y,implies(Y,Z))),implies(X,implies(Y,Z)))).
% 225499 [binary:225357,225115] is_a_theorem(implies(X,implies(implies(implies(implies(Y,Z),U),implies(implies(V,implies(Z,W)),Z)),implies(Y,Z)))).
% 225501 [binary:224917,225245,slowcut:225499] is_a_theorem(implies(implies(implies(implies(X,Y),implies(Z,Y)),U),implies(Y,U))).
% 225504 [binary:224917,225501] -is_a_theorem(implies(implies(implies(X,Y),implies(Z,Y)),U)) | is_a_theorem(implies(Y,U)).
% 225509 [binary:224918,225504] is_a_theorem(implies(X,implies(implies(implies(Y,X),Z),implies(U,Z)))).
% 225519 [binary:225354,225509] is_a_theorem(implies(implies(implies(X,Y),Z),implies(Y,Z))).
% 225525 [binary:224917,225519] -is_a_theorem(implies(implies(X,Y),Z)) | is_a_theorem(implies(Y,Z)).
% 225533 [binary:224918,225525] is_a_theorem(implies(X,implies(implies(X,Y),implies(Z,Y)))).
% 225542 [binary:224917,225533] is_a_theorem(implies(implies(X,Y),implies(Z,Y))) | -is_a_theorem(X).
% 225543 [binary:224921.2,225533] is_a_theorem(implies(implies(implies(implies(implies(X,Y),Z),implies(U,Z)),X),implies(V,X))).
% 225548 [binary:225358.2,225533] is_a_theorem(implies(implies(implies(implies(implies(X,Y),implies(Z,Y)),U),X),implies(implies(X,Y),implies(Z,Y)))).
% 225561 [binary:225533,225542.2] is_a_theorem(implies(implies(implies(X,implies(implies(X,Y),implies(Z,Y))),U),implies(V,U))).
% 225623 [binary:224917,225369] -is_a_theorem(implies(implies(implies(X,Y),Z),implies(implies(Y,U),Y))) | is_a_theorem(implies(X,Y)).
% 225696 [binary:225194,225543] is_a_theorem(implies(implies(implies(implies(implies(X,Y),Z),implies(U,Z)),X),X)).
% 225717 [binary:225194,225561] is_a_theorem(implies(implies(implies(X,implies(implies(X,Y),implies(Z,Y))),U),U)).
% 225719 [binary:224917,225717] -is_a_theorem(implies(implies(X,implies(implies(X,Y),implies(Z,Y))),U)) | is_a_theorem(U).
% 225730 [binary:225696,225623] is_a_theorem(implies(implies(implies(implies(implies(implies(X,Y),Z),implies(X,Y)),U),Y),implies(X,Y))).
% 225929 [binary:225623,225730] is_a_theorem(implies(implies(implies(implies(implies(X,Y),X),Z),implies(implies(X,Y),X)),X)).
% 225935 [binary:224921.2,225929] is_a_theorem(implies(implies(X,implies(implies(implies(X,Y),X),Z)),implies(U,implies(implies(implies(X,Y),X),Z)))).
% 226030 [binary:224917,225396] -is_a_theorem(implies(implies(implies(X,implies(Y,Z)),U),implies(Y,implies(Y,Z)))) | is_a_theorem(implies(X,implies(Y,Z))).
% 226181 [binary:224917,225548] -is_a_theorem(implies(implies(implies(implies(X,Y),implies(Z,Y)),U),X)) | is_a_theorem(implies(implies(X,Y),implies(Z,Y))).
% 226488 [binary:224921.2,225935] is_a_theorem(implies(implies(implies(X,implies(implies(implies(Y,Z),Y),U)),Y),implies(V,Y))).
% 226522 [binary:225194,226488] is_a_theorem(implies(implies(implies(X,implies(implies(implies(Y,Z),Y),U)),Y),Y)).
% 227056 [binary:226522,226181] is_a_theorem(implies(implies(X,Y),implies(implies(implies(X,Z),X),Y))).
% 227099 [binary:225719,227056] is_a_theorem(implies(implies(implies(X,Y),X),implies(implies(X,Z),implies(U,Z)))).
% 227411 [binary:226030,227099,slowcut:224919] 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: 13352
% derived clauses: 5128546
% kept clauses: 165223
% kept size sum: 654898
% kept mid-nuclei: 32105
% kept new demods: 0
% forw unit-subs: 3985785
% forw double-subs: 334832
% forw overdouble-subs: 108500
% backward subs: 3120
% fast unit cutoff: 6110
% full unit cutoff: 2428
% dbl unit cutoff: 449
% real runtime : 210.10
% process. runtime: 207.47
% specific non-discr-tree subsumption statistics:
% tried: 6842264
% length fails: 410613
% strength fails: 837387
% predlist fails: 1155122
% aux str. fails: 832729
% by-lit fails: 175587
% full subs tried: 3348022
% full subs fail: 3234057
%
% ; 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/LCL085-1+noeq.in")
%
%------------------------------------------------------------------------------