TSTP Solution File: GRP497-1 by Gandalf---c-2.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP497-1 : 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 : art05.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/GRP497-1+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 5 1)
% (binary-posweight-lex-big-order 30 #f 5 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(6,40,0,12,0,0)
%
%
% START OF PROOF
% 8 [] equal(double_divide(double_divide(identity,double_divide(X,double_divide(Y,identity))),double_divide(double_divide(Y,double_divide(Z,X)),identity)),Z).
% 9 [] equal(multiply(X,Y),double_divide(double_divide(Y,X),identity)).
% 10 [] equal(inverse(X),double_divide(X,identity)).
% 11 [] equal(identity,double_divide(X,inverse(X))).
% 12 [] -equal(multiply(identity,a2),a2).
% 13 [para:9.1.2,10.1.2] equal(inverse(double_divide(X,Y)),multiply(Y,X)).
% 14 [para:10.1.2,9.1.2.1,demod:10] equal(multiply(identity,X),inverse(inverse(X))).
% 15 [para:11.1.2,9.1.2.1,demod:10] equal(multiply(inverse(X),X),inverse(identity)).
% 16 [para:9.1.2,9.1.2.1,demod:10] equal(multiply(identity,double_divide(X,Y)),inverse(multiply(Y,X))).
% 17 [para:10.1.2,8.1.1.1.2.2,demod:9] equal(double_divide(double_divide(identity,double_divide(X,inverse(Y))),multiply(double_divide(Z,X),Y)),Z).
% 18 [para:10.1.2,8.1.1.2.1.2,demod:9,10] equal(double_divide(double_divide(identity,double_divide(identity,inverse(X))),multiply(inverse(Y),X)),Y).
% 19 [para:11.1.2,8.1.1.2.1.2,demod:14,10] equal(double_divide(double_divide(identity,double_divide(inverse(X),inverse(Y))),multiply(identity,Y)),X).
% 23 [para:14.1.2,11.1.2.2] equal(identity,double_divide(inverse(X),multiply(identity,X))).
% 24 [para:14.1.2,14.1.2.1] equal(multiply(identity,inverse(X)),inverse(multiply(identity,X))).
% 26 [para:13.1.1,11.1.2.2] equal(identity,double_divide(double_divide(X,Y),multiply(Y,X))).
% 30 [para:26.1.2,8.1.1.2.1.2,demod:14,10] equal(double_divide(double_divide(identity,double_divide(multiply(X,Y),inverse(Z))),multiply(identity,Z)),double_divide(Y,X)).
% 36 [para:11.1.2,17.1.1.1.2,demod:10] equal(double_divide(inverse(identity),multiply(double_divide(X,Y),Y)),X).
% 38 [para:17.1.1,26.1.2] equal(identity,inverse(identity)).
% 42 [para:11.1.2,36.1.1.2.1,demod:38] equal(double_divide(identity,multiply(identity,inverse(X))),X).
% 55 [para:15.1.1,18.1.1.2,demod:9,38] equal(multiply(double_divide(identity,inverse(X)),identity),X).
% 63 [para:24.1.2,55.1.1.1.2,demod:42] equal(multiply(X,identity),multiply(identity,X)).
% 67 [para:63.1.2,23.1.2.2] equal(identity,double_divide(inverse(X),multiply(X,identity))).
% 70 [para:63.1.2,24.1.2.1] equal(multiply(identity,inverse(X)),inverse(multiply(X,identity))).
% 78 [para:63.1.1,55.1.1,demod:14,70,16] equal(multiply(identity,multiply(identity,X)),X).
% 79 [para:78.1.1,23.1.2.2,demod:24] equal(identity,double_divide(multiply(identity,inverse(X)),X)).
% 80 [para:16.1.1,78.1.1.2] equal(multiply(identity,inverse(multiply(X,Y))),double_divide(Y,X)).
% 83 [para:63.1.2,78.1.1.2] equal(multiply(identity,multiply(X,identity)),X).
% 93 [para:55.1.1,83.1.1.2] equal(multiply(identity,X),double_divide(identity,inverse(X))).
% 98 [para:67.1.2,8.1.1.2.1.2,demod:30,14,10] equal(double_divide(identity,X),inverse(X)).
% 120 [para:79.1.2,8.1.1.2.1,demod:38,98,80,24,10,13] equal(inverse(multiply(double_divide(X,Y),Y)),X).
% 127 [para:120.1.1,14.1.2.1] equal(multiply(identity,multiply(double_divide(X,Y),Y)),inverse(X)).
% 136 [para:120.1.1,19.1.1.1.2.2,demod:127,13,98] equal(double_divide(multiply(X,inverse(Y)),inverse(X)),Y).
% 184 [para:38.1.2,136.1.1.1.2] equal(double_divide(multiply(X,identity),inverse(X)),identity).
% 194 [para:184.1.1,36.1.1.2.1,demod:42,38] equal(X,multiply(X,identity)).
% 207 [para:194.1.2,36.1.1.2,demod:93,10,38,slowcut:12] 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 5
% seconds given: 60
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 49
% derived clauses: 980
% kept clauses: 193
% kept size sum: 2283
% kept mid-nuclei: 0
% kept new demods: 190
% forw unit-subs: 755
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 0
% fast unit cutoff: 0
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 0.2
% process. runtime: 0.1
% 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/GRP497-1+eq_r.in")
%
%------------------------------------------------------------------------------