TSTP Solution File: GRP121-1 by Gandalf---c-2.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP121-1 : TPTP v3.4.2. Released v1.2.0.
% Transfm : add_equality:r
% Format : otter:hypothesis:set(auto),clear(print_given)
% Command : gandalf-wrapper -time %d %s
% Computer : art03.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/GRP121-1+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(4,40,0,8,0,1)
%
%
% START OF PROOF
% 5 [] equal(X,X).
% 6 [] equal(multiply(X,multiply(multiply(X,multiply(multiply(X,X),multiply(Y,Z))),multiply(Z,multiply(Z,Z)))),Y).
% 7 [] equal(multiply(identity,identity),identity).
% 8 [] -equal(multiply(a,identity),a).
% 9 [para:7.1.1,6.1.1.2.1.2.1] equal(multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X,Y))),multiply(Y,multiply(Y,Y)))),X).
% 10 [para:7.1.1,6.1.1.2.1.2.2,demod:7] equal(multiply(X,multiply(multiply(X,multiply(multiply(X,X),identity)),identity)),identity).
% 11 [para:7.1.1,6.1.1.2.2.2,demod:7] equal(multiply(X,multiply(multiply(X,multiply(multiply(X,X),multiply(Y,identity))),identity)),Y).
% 12 [para:10.1.1,6.1.1.2.1.2,demod:7] equal(multiply(X,multiply(multiply(X,identity),identity)),multiply(multiply(X,X),multiply(multiply(multiply(X,X),multiply(X,X)),identity))).
% 13 [para:7.1.1,9.1.1.2.2.2,demod:7] equal(multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X,identity))),identity)),X).
% 14 [para:13.1.1,9.1.1.2.1.2,demod:7] equal(multiply(identity,multiply(multiply(identity,X),identity)),multiply(identity,multiply(identity,multiply(X,identity)))).
% 15 [para:11.1.1,6.1.1.2.1.2,demod:7] equal(multiply(X,multiply(multiply(X,Y),identity)),multiply(multiply(X,X),multiply(multiply(multiply(X,X),multiply(X,X)),multiply(Y,identity)))).
% 16 [para:14.1.1,13.1.1,demod:14] equal(multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X,identity),identity)))),X).
% 17 [para:14.1.1,14.1.1.2.1,demod:13] equal(X,multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X),identity),identity)))).
% 18 [para:6.1.1,17.1.2.2.2.1.1,demod:7] equal(multiply(multiply(identity,multiply(identity,multiply(X,Y))),multiply(Y,multiply(Y,Y))),multiply(identity,multiply(identity,multiply(multiply(X,identity),identity)))).
% 19 [para:17.1.2,9.1.1.2.1,demod:7] equal(multiply(identity,multiply(X,identity)),multiply(multiply(identity,X),identity)).
% 20 [para:12.1.2,10.1.1.2.1] equal(multiply(multiply(X,X),multiply(multiply(X,multiply(multiply(X,identity),identity)),identity)),identity).
% 21 [para:15.1.2,6.1.1.2.1,demod:7] equal(multiply(multiply(X,X),multiply(multiply(X,multiply(multiply(X,Y),identity)),identity)),Y).
% 23 [para:6.1.1,21.1.1.2.1.2.1] equal(multiply(multiply(X,X),multiply(multiply(X,multiply(Y,identity)),identity)),multiply(multiply(X,multiply(multiply(X,X),multiply(Y,Z))),multiply(Z,multiply(Z,Z)))).
% 24 [para:10.1.1,21.1.1.2.1.2.1,demod:7] equal(multiply(multiply(X,X),multiply(multiply(X,identity),identity)),multiply(multiply(X,multiply(multiply(X,X),identity)),identity)).
% 25 [para:11.1.1,21.1.1.2.1.2.1] equal(multiply(multiply(X,X),multiply(multiply(X,multiply(Y,identity)),identity)),multiply(multiply(X,multiply(multiply(X,X),multiply(Y,identity))),identity)).
% 27 [para:20.1.1,21.1.1.2.1.2.1,demod:7] equal(multiply(multiply(multiply(X,X),multiply(X,X)),multiply(multiply(multiply(X,X),identity),identity)),multiply(multiply(X,multiply(multiply(X,identity),identity)),identity)).
% 31 [para:6.1.1,18.1.1.1.2,demod:16,19,7] equal(multiply(multiply(identity,X),multiply(multiply(Y,multiply(Y,Y)),multiply(multiply(Y,multiply(Y,Y)),multiply(Y,multiply(Y,Y))))),multiply(identity,multiply(X,Y))).
% 32 [para:16.1.1,18.1.1.1,demod:7] equal(multiply(X,multiply(multiply(multiply(X,identity),identity),multiply(multiply(multiply(X,identity),identity),multiply(multiply(X,identity),identity)))),identity).
% 35 [para:32.1.1,21.1.1.2.1.2.1,demod:7] equal(multiply(multiply(X,X),multiply(multiply(X,identity),identity)),multiply(multiply(multiply(X,identity),identity),multiply(multiply(multiply(X,identity),identity),multiply(multiply(X,identity),identity)))).
% 39 [para:25.1.2,11.1.1.2] equal(multiply(X,multiply(multiply(X,X),multiply(multiply(X,multiply(Y,identity)),identity))),Y).
% 43 [para:7.1.1,31.1.1.1] equal(multiply(identity,multiply(multiply(X,multiply(X,X)),multiply(multiply(X,multiply(X,X)),multiply(X,multiply(X,X))))),multiply(identity,multiply(identity,X))).
% 44 [para:43.1.1,17.1.2.2.2.1.1,demod:16,19] equal(multiply(multiply(X,multiply(X,X)),multiply(multiply(X,multiply(X,X)),multiply(X,multiply(X,X)))),multiply(identity,X)).
% 45 [para:43.1.1,31.1.1.1,demod:44] equal(multiply(multiply(identity,multiply(identity,X)),multiply(identity,Y)),multiply(identity,multiply(multiply(identity,X),Y))).
% 46 [para:6.1.1,45.1.1.1.2,demod:16,18,7] equal(multiply(multiply(identity,X),multiply(identity,Y)),multiply(identity,multiply(X,Y))).
% 48 [para:46.1.1,18.1.1.2.2,demod:45,46] equal(multiply(identity,multiply(multiply(identity,multiply(X,multiply(identity,Y))),multiply(Y,multiply(Y,Y)))),multiply(identity,multiply(identity,multiply(multiply(X,identity),identity)))).
% 56 [para:48.1.1,17.1.2.2.2.1.1,demod:16,19] equal(multiply(multiply(identity,multiply(X,multiply(identity,Y))),multiply(Y,multiply(Y,Y))),multiply(identity,multiply(multiply(X,identity),identity))).
% 57 [para:43.1.1,56.1.1.1.2.2,demod:46,44] equal(multiply(identity,multiply(multiply(X,multiply(identity,multiply(identity,Y))),multiply(Y,multiply(Y,Y)))),multiply(identity,multiply(multiply(X,identity),identity))).
% 58 [para:35.1.2,44.1.1.1,demod:35] equal(multiply(multiply(multiply(X,X),multiply(multiply(X,identity),identity)),multiply(multiply(multiply(X,X),multiply(multiply(X,identity),identity)),multiply(multiply(X,X),multiply(multiply(X,identity),identity)))),multiply(identity,multiply(multiply(X,identity),identity))).
% 59 [para:57.1.1,17.1.2.2.2.1.1,demod:16,19] equal(multiply(multiply(X,multiply(identity,multiply(identity,Y))),multiply(Y,multiply(Y,Y))),multiply(multiply(X,identity),identity)).
% 60 [para:16.1.1,59.1.1.1.2,demod:35,46] equal(multiply(multiply(X,Y),multiply(identity,multiply(multiply(Y,Y),multiply(multiply(Y,identity),identity)))),multiply(multiply(X,identity),identity)).
% 62 [para:60.1.1,6.1.1.2.1.2,demod:58] equal(multiply(X,multiply(multiply(X,multiply(multiply(X,identity),identity)),multiply(identity,multiply(multiply(X,identity),identity)))),identity).
% 64 [para:60.1.1,23.1.2.1.2,demod:58,7] equal(multiply(multiply(X,X),multiply(multiply(X,identity),identity)),multiply(multiply(X,multiply(multiply(X,identity),identity)),multiply(identity,multiply(multiply(X,identity),identity)))).
% 66 [para:60.1.1,56.1.1.1.2,demod:46,58] equal(multiply(identity,multiply(multiply(multiply(X,identity),identity),multiply(multiply(Y,identity),identity))),multiply(identity,multiply(multiply(multiply(X,Y),identity),identity))).
% 67 [para:62.1.1,6.1.1.2.1.2.2,demod:58,64] equal(multiply(X,multiply(multiply(X,multiply(multiply(X,X),identity)),multiply(identity,multiply(multiply(Y,identity),identity)))),Y).
% 68 [para:62.1.1,23.1.2.1.2.2,demod:58,64] equal(multiply(multiply(X,X),multiply(multiply(X,multiply(Y,identity)),identity)),multiply(multiply(X,multiply(multiply(X,X),identity)),multiply(identity,multiply(multiply(Y,identity),identity)))).
% 72 [para:66.1.1,17.1.2.2.2.1.1,demod:16,19] equal(multiply(multiply(multiply(X,identity),identity),multiply(multiply(Y,identity),identity)),multiply(multiply(multiply(X,Y),identity),identity)).
% 77 [para:72.1.1,32.1.1.2.2,demod:72] equal(multiply(X,multiply(multiply(multiply(X,multiply(X,X)),identity),identity)),identity).
% 80 [para:77.1.1,39.1.1.2.2.1,demod:7] equal(multiply(X,multiply(multiply(X,X),identity)),multiply(multiply(X,multiply(X,X)),identity)).
% 81 [para:44.1.1,77.1.1.2.1.1,demod:19] equal(multiply(multiply(X,multiply(X,X)),multiply(identity,multiply(multiply(X,identity),identity))),identity).
% 85 [para:44.1.1,80.1.2.1,demod:19] equal(multiply(multiply(X,multiply(X,X)),multiply(multiply(multiply(X,multiply(X,X)),multiply(X,multiply(X,X))),identity)),multiply(identity,multiply(X,identity))).
% 91 [para:45.1.1,81.1.1.1.2,demod:16,19,45,46] equal(multiply(multiply(identity,multiply(identity,multiply(X,multiply(X,X)))),X),identity).
% 92 [para:91.1.1,6.1.1.2.1.2.2] equal(multiply(X,multiply(multiply(X,multiply(multiply(X,X),identity)),multiply(Y,multiply(Y,Y)))),multiply(identity,multiply(identity,multiply(Y,multiply(Y,Y))))).
% 118 [para:85.1.1,67.1.1.2.1,demod:46] equal(multiply(multiply(X,multiply(X,X)),multiply(identity,multiply(multiply(X,identity),multiply(multiply(Y,identity),identity)))),Y).
% 122 [para:77.1.1,118.1.1.2.2,demod:80,7] equal(multiply(X,multiply(multiply(X,X),identity)),multiply(multiply(X,identity),multiply(multiply(X,identity),multiply(X,identity)))).
% 129 [para:122.1.2,35.1.2] equal(multiply(multiply(X,X),multiply(multiply(X,identity),identity)),multiply(multiply(X,identity),multiply(multiply(multiply(X,identity),multiply(X,identity)),identity))).
% 154 [para:129.1.2,21.1.1.2.1] equal(multiply(multiply(multiply(X,identity),multiply(X,identity)),multiply(multiply(multiply(X,X),multiply(multiply(X,identity),identity)),identity)),multiply(X,identity)).
% 161 [para:44.1.1,92.1.1.2.2,demod:44] equal(multiply(X,multiply(multiply(X,multiply(multiply(X,X),identity)),multiply(identity,Y))),multiply(identity,multiply(identity,multiply(identity,Y)))).
% 164 [para:6.1.1,161.1.1.2.2,demod:16,18,7] equal(multiply(X,multiply(multiply(X,multiply(multiply(X,X),identity)),Y)),multiply(identity,multiply(identity,Y))).
% 170 [para:129.1.2,164.1.1.2.1] equal(multiply(multiply(X,identity),multiply(multiply(multiply(X,X),multiply(multiply(X,identity),identity)),Y)),multiply(identity,multiply(identity,Y))).
% 176 [para:60.1.1,170.1.1.2,demod:16,72] equal(multiply(multiply(X,identity),multiply(multiply(multiply(X,X),identity),identity)),multiply(multiply(X,X),multiply(multiply(X,identity),identity))).
% 178 [para:176.1.1,39.1.1.2.2.1,demod:154] equal(multiply(multiply(X,identity),multiply(X,identity)),multiply(multiply(X,X),identity)).
% 180 [para:176.1.1,72.1.1,demod:24,178] equal(multiply(multiply(multiply(X,X),identity),multiply(multiply(multiply(X,identity),identity),identity)),multiply(multiply(multiply(X,X),multiply(multiply(X,identity),identity)),identity)).
% 214 [para:178.1.1,122.1.2.2] equal(multiply(X,multiply(multiply(X,X),identity)),multiply(multiply(X,identity),multiply(multiply(X,X),identity))).
% 220 [para:214.1.2,60.1.1.1,demod:21,68,27,180,178] equal(multiply(multiply(X,identity),identity),multiply(multiply(multiply(X,identity),identity),identity)).
% 224 [para:220.1.2,6.1.1.2.1.2.2,demod:39,25,7] equal(multiply(X,identity),multiply(multiply(X,identity),identity)).
% 226 [para:220.1.2,11.1.1.2.1.2.2,demod:39,25,224] equal(X,multiply(X,identity)).
% 246 [para:226.1.2,8.1.1,cut:5] 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 6
% seconds given: 60
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 97
% derived clauses: 5368
% kept clauses: 237
% kept size sum: 5829
% kept mid-nuclei: 0
% kept new demods: 237
% forw unit-subs: 2910
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 2
% fast unit cutoff: 1
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 0.16
% process. runtime: 0.17
% 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/GRP121-1+eq_r.in")
%
%------------------------------------------------------------------------------