TSTP Solution File: GRP499-1 by Gandalf---c-2.6
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%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP499-1 : 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 : art10.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 0.0s
% Output : Assurance 0.0s
% 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/GRP499-1+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 7 1)
% (binary-posweight-lex-big-order 30 #f 7 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(4,40,0,8,0,0)
%
%
% START OF PROOF
% 6 [] equal(double_divide(inverse(X),inverse(double_divide(inverse(double_divide(X,double_divide(Y,Z))),double_divide(U,double_divide(Y,U))))),Z).
% 7 [] equal(multiply(X,Y),inverse(double_divide(Y,X))).
% 8 [] -equal(multiply(inverse(a1),a1),multiply(inverse(b1),b1)).
% 9 [para:6.1.1,7.1.2.1,demod:7] equal(multiply(multiply(double_divide(X,double_divide(Y,X)),multiply(double_divide(Y,Z),U)),inverse(U)),inverse(Z)).
% 10 [para:7.1.2,6.1.1.1,demod:7] equal(double_divide(multiply(X,Y),multiply(double_divide(Z,double_divide(U,Z)),multiply(double_divide(U,V),double_divide(Y,X)))),V).
% 11 [para:7.1.2,6.1.1.2,demod:7] equal(double_divide(inverse(X),multiply(double_divide(Y,double_divide(Z,Y)),multiply(double_divide(Z,U),X))),U).
% 12 [para:6.1.1,6.1.1.2.1.1.1.2,demod:7] equal(double_divide(inverse(X),multiply(double_divide(Y,double_divide(inverse(Z),Y)),multiply(U,X))),multiply(double_divide(V,double_divide(W,V)),multiply(double_divide(W,U),Z))).
% 17 [para:10.1.1,6.1.1.2.1.1.1.2,demod:7] equal(double_divide(inverse(X),multiply(double_divide(Y,double_divide(multiply(Z,U),Y)),multiply(V,X))),multiply(double_divide(W,double_divide(X1,W)),multiply(double_divide(X1,V),double_divide(U,Z)))).
% 22 [para:10.1.1,9.1.1.1.2.1] equal(multiply(multiply(double_divide(X,double_divide(multiply(Y,Z),X)),multiply(U,V)),inverse(V)),inverse(multiply(double_divide(W,double_divide(X1,W)),multiply(double_divide(X1,U),double_divide(Z,Y))))).
% 32 [para:12.1.1,11.1.1] equal(multiply(double_divide(X,double_divide(Y,X)),multiply(double_divide(Y,double_divide(inverse(Z),U)),Z)),U).
% 33 [para:12.1.2,11.1.1.2] equal(double_divide(inverse(X),double_divide(inverse(Y),multiply(double_divide(Z,double_divide(inverse(X),Z)),multiply(U,Y)))),U).
% 53 [para:32.1.1,11.1.1.2.2] equal(double_divide(inverse(multiply(double_divide(X,double_divide(inverse(Y),Z)),Y)),multiply(double_divide(U,double_divide(V,U)),Z)),double_divide(X,V)).
% 68 [para:32.1.1,33.1.1.2.2.2,demod:53] equal(double_divide(inverse(X),double_divide(Y,inverse(X))),double_divide(Z,double_divide(Y,Z))).
% 82 [para:68.1.1,6.1.1.2.1.1.1.2,demod:7] equal(double_divide(inverse(X),multiply(double_divide(Y,double_divide(inverse(Z),Y)),multiply(double_divide(U,double_divide(V,U)),X))),double_divide(V,inverse(Z))).
% 119 [para:68.1.1,68.1.1] equal(double_divide(X,double_divide(Y,X)),double_divide(Z,double_divide(Y,Z))).
% 122 [para:119.1.1,7.1.2.1,demod:7] equal(multiply(double_divide(X,Y),Y),multiply(double_divide(X,Z),Z)).
% 123 [para:119.1.1,6.1.1.2.1.1.1,demod:7] equal(double_divide(inverse(X),multiply(double_divide(Y,double_divide(Z,Y)),multiply(double_divide(Z,U),U))),X).
% 152 [para:119.1.1,119.1.1.2] equal(double_divide(double_divide(X,Y),double_divide(Z,double_divide(X,Z))),double_divide(U,double_divide(Y,U))).
% 176 [para:119.1.1,122.1.1.1] equal(multiply(double_divide(X,double_divide(Y,X)),double_divide(Y,Z)),multiply(double_divide(Z,U),U)).
% 214 [para:152.1.1,12.1.2.2.1,demod:82] equal(double_divide(X,inverse(Y)),multiply(double_divide(Z,double_divide(double_divide(X,U),Z)),multiply(double_divide(V,double_divide(U,V)),Y))).
% 372 [para:152.1.1,123.1.1.2.2.1,demod:7,214] equal(double_divide(inverse(X),double_divide(Y,multiply(double_divide(Y,Z),Z))),X).
% 388 [para:372.1.1,7.1.2.1] equal(multiply(double_divide(X,multiply(double_divide(X,Y),Y)),inverse(Z)),inverse(Z)).
% 389 [para:7.1.2,372.1.1.1] equal(double_divide(multiply(X,Y),double_divide(Z,multiply(double_divide(Z,U),U))),double_divide(Y,X)).
% 438 [para:7.1.2,388.1.1.2,demod:7] equal(multiply(double_divide(X,multiply(double_divide(X,Y),Y)),multiply(Z,U)),multiply(Z,U)).
% 513 [para:32.1.1,438.1.1.2,demod:32] equal(multiply(double_divide(X,multiply(double_divide(X,Y),Y)),Z),Z).
% 598 [para:513.1.1,11.1.1.2.2] equal(double_divide(inverse(X),multiply(double_divide(Y,double_divide(Z,Y)),X)),multiply(double_divide(Z,U),U)).
% 610 [para:119.1.1,513.1.1.1.2.1] equal(multiply(double_divide(X,multiply(double_divide(Y,double_divide(Z,Y)),double_divide(Z,X))),U),U).
% 959 [para:122.1.1,598.1.1.2,demod:7] equal(double_divide(multiply(X,Y),multiply(double_divide(X,Z),Z)),multiply(double_divide(Y,U),U)).
% 1234 [para:959.1.2,513.1.1.1.2] equal(multiply(double_divide(X,double_divide(multiply(Y,X),multiply(double_divide(Y,Z),Z))),U),U).
% 1358 [para:119.1.1,1234.1.1.1] equal(multiply(double_divide(X,double_divide(multiply(Y,multiply(double_divide(Y,Z),Z)),X)),U),U).
% 1365 [para:1234.1.1,176.1.1] equal(double_divide(multiply(X,multiply(double_divide(X,Y),Y)),Z),multiply(double_divide(Z,U),U)).
% 1403 [para:1358.1.1,389.1.1.2.2] equal(double_divide(multiply(X,Y),double_divide(Z,double_divide(multiply(U,multiply(double_divide(U,V),V)),Z))),double_divide(Y,X)).
% 1420 [para:1365.1.1,6.1.1.2.1.1.1.2,demod:1403,7] equal(double_divide(inverse(X),multiply(multiply(double_divide(Y,Z),Z),X)),Y).
% 1439 [para:1365.1.1,32.1.1.2.1,demod:1358] equal(multiply(multiply(double_divide(double_divide(inverse(X),Y),Z),Z),X),Y).
% 1473 [para:1365.1.1,123.1.1.2.2.1,demod:1358] equal(double_divide(inverse(X),multiply(multiply(double_divide(Y,Z),Z),Y)),X).
% 1511 [para:1365.1.1,598.1.2.1,demod:1358] equal(double_divide(inverse(X),X),multiply(multiply(double_divide(Y,Z),Z),Y)).
% 1778 [para:1511.1.1,68.1.1.2,demod:1473] equal(X,double_divide(Y,double_divide(inverse(inverse(X)),Y))).
% 1866 [para:1511.1.2,1420.1.1.2] equal(double_divide(inverse(X),double_divide(inverse(Y),Y)),X).
% 1874 [para:1778.1.2,7.1.2.1] equal(multiply(double_divide(inverse(inverse(X)),Y),Y),inverse(X)).
% 1876 [para:1778.1.2,6.1.1.2.1.1.1,demod:7,1778] equal(double_divide(inverse(X),multiply(Y,inverse(Y))),X).
% 1898 [para:1778.1.2,32.1.1.2.1.2] equal(multiply(double_divide(X,double_divide(Y,X)),multiply(double_divide(Y,Z),U)),double_divide(inverse(inverse(Z)),inverse(U))).
% 1956 [para:1778.1.2,598.1.1.2.1,demod:1874] equal(double_divide(inverse(X),multiply(Y,X)),inverse(Y)).
% 2055 [para:1866.1.1,6.1.1.2.1.1.1,demod:1956,7] equal(multiply(double_divide(inverse(X),Y),Y),X).
% 2070 [para:1866.1.1,122.1.1.1,demod:2055] equal(multiply(X,double_divide(inverse(Y),Y)),X).
% 2114 [para:7.1.2,2055.1.1.1.1] equal(multiply(double_divide(multiply(X,Y),Z),Z),double_divide(Y,X)).
% 2130 [para:2055.1.1,17.1.1.2.2,demod:7,1898] equal(double_divide(inverse(X),multiply(double_divide(Y,double_divide(multiply(Z,U),Y)),V)),double_divide(inverse(multiply(X,inverse(V))),multiply(Z,U))).
% 2146 [para:2055.1.1,22.1.1.1.2,demod:7,1898] equal(multiply(multiply(double_divide(X,double_divide(multiply(Y,Z),X)),U),inverse(V)),multiply(multiply(Y,Z),inverse(multiply(V,inverse(U))))).
% 2148 [para:22.1.2,2055.1.1.1.1,demod:7,1898,2114,2146] equal(double_divide(inverse(multiply(X,inverse(multiply(Y,X)))),multiply(Z,U)),double_divide(inverse(inverse(Y)),multiply(Z,U))).
% 2153 [para:2070.1.1,12.1.2.2,demod:1876,2148,2130,7] equal(inverse(X),multiply(double_divide(Y,double_divide(Z,Y)),double_divide(Z,X))).
% 2161 [para:2070.1.1,176.1.2,demod:2153] equal(inverse(X),double_divide(X,double_divide(inverse(Y),Y))).
% 2177 [para:610.1.1,2070.1.1,demod:2153] equal(double_divide(inverse(X),X),double_divide(Y,inverse(Y))).
% 2187 [para:2070.1.1,598.1.2,demod:2161,7,1956] equal(multiply(double_divide(X,Y),Y),inverse(X)).
% 2199 [para:2070.1.1,1420.1.1.2.1,demod:1956,2161] equal(inverse(inverse(X)),X).
% 2203 [para:2070.1.1,1511.1.2.1,demod:2161] equal(double_divide(inverse(X),X),multiply(inverse(Y),Y)).
% 2208 [para:2199.1.1,6.1.1.1,demod:2199,1898,7] equal(double_divide(X,double_divide(Y,X)),Y).
% 2262 [para:2208.1.1,1439.1.1.1.1.1,demod:2187] equal(multiply(inverse(X),Y),double_divide(X,inverse(Y))).
% 2416 [para:2203.1.2,8.1.1,demod:2262,cut:2177] 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 1
% clause depth limited to 7
% seconds given: 60
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 91
% derived clauses: 15184
% kept clauses: 2407
% kept size sum: 57623
% kept mid-nuclei: 0
% kept new demods: 977
% forw unit-subs: 11264
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 3
% fast unit cutoff: 1
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 0.46
% process. runtime: 0.46
% 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/GRP499-1+eq_r.in")
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