TSTP Solution File: GRP480-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP480-1 : TPTP v3.4.2. Released v2.6.0.
% Transfm : add_equality:r
% Format : otter:hypothesis:set(auto),clear(print_given)
% Command : gandalf-wrapper -time %d %s
% Computer : art06.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 89.9s
% Output : Assurance 89.9s
% 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/GRP/GRP480-1+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: ueq
%
% strategies selected:
% (binary-posweight-kb-big-order 60 #f 6 1)
% (binary-posweight-lex-big-order 30 #f 6 1)
% (binary 30 #t)
% (binary-posweight-kb-big-order 180 #f)
% (binary-posweight-lex-big-order 120 #f)
% (binary-posweight-firstpref-order 60 #f)
% (binary-posweight-kb-small-order 60 #f)
% (binary-posweight-lex-small-order 60 #f)
%
%
% **** EMPTY CLAUSE DERIVED ****
%
%
% timer checkpoints: c(4,40,1,8,0,1,57776,3,3003,203182,4,4509,285199,5,6024,285199,1,6024,285199,50,6028,285199,40,6028,285203,0,6028,306281,3,7530,310715,4,8289,324959,5,9029,324959,1,9029,324959,50,9031,324959,40,9031,324963,0,9031,324963,50,9031,324963,40,9031,324967,0,9044)
%
%
% START OF PROOF
% 324965 [] equal(divide(inverse(divide(divide(divide(X,X),Y),divide(Z,divide(Y,U)))),U),Z).
% 324966 [] equal(multiply(X,Y),divide(X,inverse(Y))).
% 324967 [] -equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))).
% 324968 [para:324965.1.1,324966.1.2,demod:324966] equal(multiply(inverse(divide(divide(divide(X,X),Y),divide(Z,multiply(Y,U)))),U),Z).
% 324969 [para:324966.1.2,324965.1.1.1.1.1] equal(divide(inverse(divide(multiply(divide(X,X),Y),divide(Z,divide(inverse(Y),U)))),U),Z).
% 324970 [para:324966.1.2,324965.1.1.1.1.1.1] equal(divide(inverse(divide(divide(multiply(inverse(X),X),Y),divide(Z,divide(Y,U)))),U),Z).
% 324971 [para:324965.1.1,324965.1.1.1.1.2] equal(divide(inverse(divide(divide(divide(X,X),Y),Z)),U),inverse(divide(divide(divide(V,V),W),divide(Z,divide(W,divide(Y,U)))))).
% 324972 [para:324965.1.1,324965.1.1.1.1.2.2,demod:324966] equal(divide(inverse(divide(multiply(divide(X,X),divide(divide(divide(Y,Y),Z),divide(U,divide(Z,V)))),divide(W,U))),V),W).
% 324975 [para:324965.1.1,324968.1.1.1.1.2] equal(multiply(inverse(divide(divide(divide(X,X),Y),Z)),U),inverse(divide(divide(divide(V,V),W),divide(Z,divide(W,multiply(Y,U)))))).
% 324978 [para:324969.1.1,324965.1.1.1.1.2] equal(divide(inverse(divide(divide(divide(X,X),Y),Z)),U),inverse(divide(multiply(divide(V,V),W),divide(Z,divide(inverse(W),divide(Y,U)))))).
% 324980 [para:324965.1.1,324969.1.1.1.1.2] equal(divide(inverse(divide(multiply(divide(X,X),Y),Z)),U),inverse(divide(divide(divide(V,V),W),divide(Z,divide(W,divide(inverse(Y),U)))))).
% 324981 [para:324969.1.1,324968.1.1.1.1.2] equal(multiply(inverse(divide(divide(divide(X,X),Y),Z)),U),inverse(divide(multiply(divide(V,V),W),divide(Z,divide(inverse(W),multiply(Y,U)))))).
% 324988 [para:324970.1.1,324969.1.1.1.1.2] equal(divide(inverse(divide(multiply(divide(X,X),Y),Z)),U),inverse(divide(divide(multiply(inverse(V),V),W),divide(Z,divide(W,divide(inverse(Y),U)))))).
% 324989 [para:324969.1.1,324970.1.1.1.1.2] equal(divide(inverse(divide(divide(multiply(inverse(X),X),Y),Z)),U),inverse(divide(multiply(divide(V,V),W),divide(Z,divide(inverse(W),divide(Y,U)))))).
% 324991 [para:324970.1.1,324970.1.1.1.1.2] equal(divide(inverse(divide(divide(multiply(inverse(X),X),Y),Z)),U),inverse(divide(divide(multiply(inverse(V),V),W),divide(Z,divide(W,divide(Y,U)))))).
% 325026 [para:324971.1.2,324965.1.1.1] equal(divide(divide(inverse(divide(divide(divide(X,X),Y),Z)),U),divide(Y,U)),Z).
% 325068 [para:324966.1.2,325026.1.1.1,demod:324966] equal(divide(multiply(inverse(divide(divide(divide(X,X),Y),Z)),U),multiply(Y,U)),Z).
% 325069 [para:324966.1.2,325026.1.1.1.1.1] equal(divide(divide(inverse(multiply(divide(divide(X,X),Y),Z)),U),divide(Y,U)),inverse(Z)).
% 325071 [para:324966.1.2,325026.1.1.1.1.1.1.1] equal(divide(divide(inverse(divide(divide(multiply(inverse(X),X),Y),Z)),U),divide(Y,U)),Z).
% 325072 [para:325026.1.1,324965.1.1.1.1.1,demod:324966] equal(divide(inverse(divide(X,divide(Y,divide(multiply(Z,divide(divide(divide(U,U),Z),X)),V)))),V),Y).
% 325085 [para:325026.1.1,324971.1.2.1.2,demod:324965] equal(inverse(divide(divide(divide(X,X),Y),Z)),inverse(divide(divide(divide(U,U),Y),Z))).
% 325088 [para:324971.1.2,325026.1.1.1.1] equal(divide(divide(divide(inverse(divide(divide(divide(X,X),Y),Z)),U),V),divide(W,V)),divide(Z,divide(W,divide(Y,U)))).
% 325091 [para:325026.1.1,325026.1.1.1.1.1.1,demod:324966] equal(divide(divide(inverse(divide(X,Y)),Z),divide(multiply(U,divide(divide(divide(V,V),U),X)),Z)),Y).
% 325095 [para:324966.1.2,325068.1.1.1.1.1.1.1] equal(divide(multiply(inverse(divide(divide(multiply(inverse(X),X),Y),Z)),U),multiply(Y,U)),Z).
% 325127 [para:325069.1.1,324971.1.2.1.2,demod:324966,324965] equal(inverse(multiply(divide(divide(X,X),Y),Z)),inverse(multiply(divide(divide(U,U),Y),Z))).
% 325171 [para:325071.1.1,324971.1.2.1.2,demod:324965] equal(inverse(divide(divide(multiply(inverse(X),X),Y),Z)),inverse(divide(divide(divide(U,U),Y),Z))).
% 325237 [para:325085.1.1,324966.1.2.2,demod:324966] equal(multiply(X,divide(divide(divide(Y,Y),Z),U)),multiply(X,divide(divide(divide(V,V),Z),U))).
% 325308 [para:325127.1.1,324966.1.2.2,demod:324966] equal(multiply(X,multiply(divide(divide(Y,Y),Z),U)),multiply(X,multiply(divide(divide(V,V),Z),U))).
% 325576 [para:325171.1.1,324966.1.2.2,demod:324966] equal(multiply(X,divide(divide(multiply(inverse(Y),Y),Z),U)),multiply(X,divide(divide(divide(V,V),Z),U))).
% 326128 [para:324980.1.1,324972.1.1,demod:324965] equal(inverse(divide(divide(divide(X,X),Y),divide(divide(Z,U),divide(Y,U)))),Z).
% 326221 [para:324966.1.2,326128.1.1.1.1] equal(inverse(divide(multiply(divide(X,X),Y),divide(divide(Z,U),divide(inverse(Y),U)))),Z).
% 326223 [para:324966.1.2,326128.1.1.1.2.1,demod:324966] equal(inverse(divide(divide(divide(X,X),Y),divide(multiply(Z,U),multiply(Y,U)))),Z).
% 326236 [para:326128.1.1,325026.1.1.1.1] equal(divide(divide(X,Y),divide(Z,Y)),divide(divide(X,U),divide(Z,U))).
% 326237 [para:325026.1.1,326128.1.1.1.1,demod:324966] equal(inverse(divide(X,divide(divide(Y,Z),divide(multiply(U,divide(divide(divide(V,V),U),X)),Z)))),Y).
% 326239 [para:326128.1.1,325068.1.1.1.1] equal(divide(multiply(X,Y),multiply(Z,Y)),divide(divide(X,U),divide(Z,U))).
% 326283 [para:326236.1.1,324965.1.1.1.1.1] equal(divide(inverse(divide(divide(divide(X,Y),divide(Z,Y)),divide(U,divide(divide(Z,X),V)))),V),U).
% 326286 [para:324965.1.1,326236.1.1.2] equal(divide(divide(X,Y),Z),divide(divide(X,U),divide(inverse(divide(divide(divide(V,V),W),divide(Z,divide(W,Y)))),U))).
% 326287 [para:326236.1.1,324968.1.1.1.1.1] equal(multiply(inverse(divide(divide(divide(X,Y),divide(Z,Y)),divide(U,multiply(divide(Z,X),V)))),V),U).
% 326305 [para:326236.1.1,325026.1.1.1.1.1] equal(divide(divide(inverse(divide(divide(divide(X,X),Y),divide(Z,Y))),U),divide(V,U)),divide(Z,V)).
% 326308 [para:325026.1.1,326236.1.1.2] equal(divide(divide(X,divide(Y,Z)),U),divide(divide(X,V),divide(divide(inverse(divide(divide(divide(W,W),Y),U)),Z),V))).
% 326386 [para:324966.1.2,326239.1.2.1,demod:324966] equal(divide(multiply(X,Y),multiply(Z,Y)),divide(multiply(X,U),multiply(Z,U))).
% 326702 [para:326223.1.1,324966.1.2.2] equal(multiply(X,divide(divide(divide(Y,Y),Z),divide(multiply(U,V),multiply(Z,V)))),divide(X,U)).
% 326703 [para:324966.1.2,326223.1.1.1.1.1] equal(inverse(divide(divide(multiply(inverse(X),X),Y),divide(multiply(Z,U),multiply(Y,U)))),Z).
% 327271 [para:325026.1.1,325237.1.1.2.1,demod:324966] equal(multiply(X,divide(Y,Z)),multiply(X,divide(divide(divide(U,U),multiply(V,divide(divide(divide(W,W),V),Y))),Z))).
% 327557 [para:325069.1.1,325308.1.1.2.1,demod:324966] equal(multiply(X,multiply(inverse(Y),Z)),multiply(X,multiply(divide(divide(U,U),multiply(V,multiply(divide(divide(W,W),V),Y))),Z))).
% 331229 [para:326305.1.1,326236.1.1.1,demod:325088] equal(divide(divide(X,Y),divide(Z,divide(Y,U))),divide(divide(X,V),divide(Z,divide(V,U)))).
% 331230 [para:326305.1.1,326236.1.1.2,demod:326308] equal(divide(divide(X,divide(Y,Z)),divide(U,Y)),divide(divide(X,divide(V,Z)),divide(U,V))).
% 331305 [para:326305.1.1,325091.1.1] equal(divide(X,multiply(Y,divide(divide(divide(Z,Z),Y),divide(divide(U,U),V)))),divide(X,V)).
% 332214 [para:331305.1.1,325026.1.1.1.1.1,demod:325026] equal(X,multiply(Y,divide(divide(divide(Z,Z),Y),divide(divide(U,U),X)))).
% 332351 [para:326236.1.1,332214.1.2.2] equal(X,multiply(X,divide(divide(divide(Y,Y),Z),divide(divide(U,U),Z)))).
% 332436 [para:324971.1.1,332351.1.2.2.2.1,demod:327271,326286,324966] equal(X,multiply(X,divide(Y,Y))).
% 332440 [para:325069.1.1,332351.1.2.2.2,demod:327557,324966] equal(X,multiply(X,multiply(inverse(Y),Y))).
% 332448 [para:332351.1.2,325095.1.1.1,demod:332351] equal(divide(inverse(divide(divide(multiply(inverse(X),X),Y),Z)),Y),Z).
% 332474 [para:332351.1.2,326239.1.1.1,demod:332351] equal(divide(X,Y),divide(divide(X,Z),divide(Y,Z))).
% 332477 [para:326239.1.1,332351.1.2.2.1.1,demod:332474] equal(X,multiply(X,divide(divide(Y,Y),divide(Z,Z)))).
% 332479 [para:332351.1.2,326386.1.1.1,demod:332477,332474] equal(divide(X,Y),divide(multiply(X,Z),multiply(Y,Z))).
% 332482 [para:332351.1.2,326223.1.1.1.2.1,demod:332477,332474] equal(inverse(divide(divide(X,X),Y)),Y).
% 332483 [para:332351.1.2,326221.1.1.1.1,demod:332482,332474] equal(divide(X,divide(Y,Y)),X).
% 332485 [para:332351.1.2,326703.1.1.1.2.1,demod:332436,332483,332474] equal(inverse(divide(multiply(inverse(X),X),Y)),Y).
% 332510 [para:332351.1.2,326702.1.1.2.2.1,demod:332436,332483,332474] equal(multiply(X,divide(divide(Y,Y),Z)),divide(X,Z)).
% 332569 [para:332436.1.2,325576.1.1,demod:332510,332474] equal(X,divide(X,multiply(inverse(Y),Y))).
% 332580 [para:332483.1.1,325026.1.1.1.1.1,demod:332474,332482] equal(divide(X,X),divide(Y,Y)).
% 332619 [para:332483.1.1,325072.1.1.1.1] equal(divide(inverse(X),Y),divide(multiply(Z,divide(divide(divide(U,U),Z),X)),Y)).
% 332622 [para:325072.1.1,332483.1.1,demod:324966,332483,332619] equal(X,inverse(divide(Y,multiply(X,Y)))).
% 332639 [para:332483.1.1,326237.1.1.1] equal(inverse(X),multiply(Y,divide(divide(divide(Z,Z),Y),X))).
% 332644 [para:332483.1.1,326283.1.1.1.1,demod:332474] equal(divide(inverse(divide(X,Y)),Z),divide(divide(Y,X),Z)).
% 332647 [para:332483.1.1,326287.1.1.1.1,demod:332474] equal(multiply(inverse(divide(X,Y)),Z),multiply(divide(Y,X),Z)).
% 332650 [para:332483.1.1,331229.1.1.2] equal(divide(divide(X,Y),Z),divide(divide(X,U),divide(Z,divide(U,Y)))).
% 332652 [para:332483.1.1,331230.1.1] equal(divide(X,divide(Y,Z)),divide(divide(X,divide(U,Z)),divide(Y,U))).
% 332653 [para:332483.1.1,331230.1.1.2,demod:332652] equal(divide(divide(X,divide(divide(Y,Y),Z)),U),divide(X,divide(U,Z))).
% 332703 [para:325026.1.1,324991.1.2.1.2.2,demod:332485,332652,332653,332644] equal(divide(divide(X,divide(multiply(inverse(Y),Y),Z)),U),divide(X,divide(U,Z))).
% 332713 [para:324991.1.2,325071.1.1.1.1,demod:332474,332703,332644] equal(divide(divide(X,divide(Y,Z)),U),divide(X,divide(U,divide(Z,Y)))).
% 332727 [para:325095.1.1,324991.1.1.1.1.1,demod:332485,332713,332650,332644] equal(divide(divide(X,Y),Z),divide(X,divide(Z,multiply(U,divide(divide(multiply(inverse(V),V),U),Y))))).
% 332775 [para:324991.1.1,324978.1.1.1.1.1.1,demod:332440,332713,332644,332483,332474,332727,324966] equal(divide(X,divide(Y,Z)),inverse(divide(multiply(divide(U,U),V),divide(X,divide(inverse(V),divide(Z,Y)))))).
% 332778 [para:324991.1.1,324978.1.2.1.2.2,demod:332485,332713,332650,332653,332644] equal(divide(X,divide(Y,Z)),inverse(divide(multiply(divide(U,U),divide(divide(multiply(inverse(V),V),W),X1)),divide(X,divide(X1,divide(divide(Z,Y),W)))))).
% 332805 [para:324991.1.1,324980.1.2.1.2.2,demod:332778,332485,332713,332650,324966,332644] equal(divide(divide(X,multiply(divide(Y,Y),Z)),U),divide(X,multiply(U,Z))).
% 332866 [para:325091.1.1,324991.1.2.1.2,demod:324966,332639,332448,332650,332644] equal(divide(X,Y),inverse(divide(multiply(multiply(inverse(Z),Z),Y),X))).
% 332880 [para:324991.1.2,324988.1.2,demod:332866,324966,332805,332644] equal(divide(X,multiply(Y,Z)),divide(divide(X,Z),Y)).
% 332914 [para:324991.1.1,324989.1.1,demod:332775,332485,332880] equal(multiply(divide(X,divide(Y,divide(Z,U))),Y),divide(X,divide(U,Z))).
% 332918 [para:324991.1.1,324989.1.2.1.2,demod:332775,332713,332914,332485,332880] equal(divide(multiply(multiply(X,Y),Z),U),divide(X,divide(U,multiply(Y,Z)))).
% 332921 [para:324991.1.1,324989.1.2.1.2.2.2,demod:332775,332914,332485,332880] equal(divide(multiply(X,multiply(Y,Z)),U),divide(X,divide(U,multiply(Y,Z)))).
% 332935 [para:324991.1.1,326305.1.1.1.1.1.2,demod:332652,332713,332921,332644,332485,332914,332880] equal(divide(X,divide(Y,divide(Z,multiply(divide(U,multiply(V,U)),V)))),divide(multiply(X,Z),Y)).
% 332938 [para:326305.1.1,324991.1.2.1.2.2.2,demod:332914,332474,332485,332935,332713,332921,332644,332880] equal(divide(multiply(X,Y),Z),divide(X,divide(Z,Y))).
% 332944 [para:331229.1.1,324991.1.1.1.1,demod:332569,332880,332644,332652,332713,332938] equal(divide(X,divide(Y,Z)),inverse(divide(inverse(U),divide(X,divide(U,divide(Z,Y)))))).
% 332973 [para:332483.1.1,324991.1.2.1.1,demod:332944,332569,332880,332644,332713,332938] equal(divide(X,divide(Y,Z)),divide(X,divide(U,multiply(divide(Z,Y),U)))).
% 332984 [para:332580.1.1,324969.1.1.1.1.2,demod:332622,332880,332938] equal(divide(X,multiply(Y,multiply(Z,X))),divide(inverse(Z),Y)).
% 332993 [para:332580.1.1,324971.1.2.1.2.2,demod:332483,332938,324966,332644,332984,332880] equal(divide(X,divide(Y,Z)),inverse(divide(Y,multiply(X,Z)))).
% 333013 [para:332580.1.1,324975.1.2.1.1,demod:332973,332918,332713,332993,324966,332647,332984,332880] equal(multiply(multiply(X,Y),Z),divide(X,divide(inverse(Z),Y))).
% 333050 [para:332580.1.1,326236.1.1.2,demod:332474,332880] equal(divide(X,multiply(divide(Y,Y),Z)),divide(X,Z)).
% 333052 [para:332580.1.1,324981.1.1.1.1.1,demod:332938,332479,333013,333050,332483,332993,332880] equal(multiply(X,Y),divide(X,divide(Z,multiply(Y,Z)))).
% 333054 [para:332580.1.1,324981.1.1.1.1.1.1,demod:333052,332921,332993,332479,333013,324966,332647,332984,332880,slowcut:324967] 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: 180
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 1513
% derived clauses: 6693885
% kept clauses: 82765
% kept size sum: 261871
% kept mid-nuclei: 0
% kept new demods: 4225
% forw unit-subs: 1157248
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 29
% fast unit cutoff: 0
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 91.27
% process. runtime: 91.4
% 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/GRP480-1+eq_r.in")
%
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