TSTP Solution File: BOO007-4 by Gandalf---c-2.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : BOO007-4 : TPTP v3.4.2. Released v1.1.0.
% Transfm : add_equality:r
% Format : otter:hypothesis:set(auto),clear(print_given)
% Command : gandalf-wrapper -time %d %s
% Computer : art09.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/BOO/BOO007-4+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 3 1)
% (binary-posweight-lex-big-order 30 #f 3 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(10,40,0,20,0,1,213,50,21,223,0,21)
%
%
% START OF PROOF
% 215 [] equal(add(X,Y),add(Y,X)).
% 216 [] equal(multiply(X,Y),multiply(Y,X)).
% 217 [] equal(add(X,multiply(Y,Z)),multiply(add(X,Y),add(X,Z))).
% 218 [] equal(multiply(X,add(Y,Z)),add(multiply(X,Y),multiply(X,Z))).
% 220 [] equal(multiply(X,multiplicative_identity),X).
% 221 [] equal(add(X,inverse(X)),multiplicative_identity).
% 223 [] -equal(multiply(a,multiply(b,c)),multiply(multiply(a,b),c)).
% 227 [para:216.1.1,220.1.1] equal(multiply(multiplicative_identity,X),X).
% 229 [para:216.1.1,223.1.1] -equal(multiply(multiply(b,c),a),multiply(multiply(a,b),c)).
% 235 [para:221.1.1,217.1.2.1,demod:227] equal(add(X,multiply(inverse(X),Y)),add(X,Y)).
% 243 [para:220.1.1,235.1.1.2,demod:221] equal(multiplicative_identity,add(X,multiplicative_identity)).
% 251 [para:220.1.1,218.1.2.2,demod:220,243] equal(X,add(multiply(X,Y),X)).
% 255 [para:216.1.1,218.1.2.1] equal(multiply(X,add(Y,Z)),add(multiply(Y,X),multiply(X,Z))).
% 257 [para:218.1.2,217.1.2.1] equal(add(multiply(X,Y),multiply(multiply(X,Z),U)),multiply(multiply(X,add(Y,Z)),add(multiply(X,Y),U))).
% 258 [para:218.1.2,217.1.2.2] equal(add(multiply(X,Y),multiply(Z,multiply(X,U))),multiply(add(multiply(X,Y),Z),multiply(X,add(Y,U)))).
% 265 [para:216.1.1,229.1.1.1] -equal(multiply(multiply(c,b),a),multiply(multiply(a,b),c)).
% 269 [para:251.1.2,215.1.1] equal(X,add(X,multiply(X,Y))).
% 270 [para:216.1.1,251.1.2.1] equal(X,add(multiply(Y,X),X)).
% 596 [para:216.1.1,255.1.2.2] equal(multiply(X,add(Y,Z)),add(multiply(Y,X),multiply(Z,X))).
% 656 [para:270.1.2,257.1.2.2,demod:269,596] equal(multiply(X,Y),multiply(multiply(Y,add(X,Z)),X)).
% 675 [para:270.1.2,258.1.2.1,demod:269,255] equal(multiply(X,Y),multiply(X,multiply(Y,add(X,Z)))).
% 1187 [para:270.1.2,656.1.2.1.2] equal(multiply(multiply(X,Y),Z),multiply(multiply(Z,Y),multiply(X,Y))).
% 1209 [para:270.1.2,675.1.2.2.2,demod:1187,slowcut:265] 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 4
% seconds given: 60
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 418
% derived clauses: 65687
% kept clauses: 1177
% kept size sum: 15928
% kept mid-nuclei: 0
% kept new demods: 1003
% forw unit-subs: 52892
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 34
% fast unit cutoff: 0
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 0.60
% process. runtime: 0.58
% 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/BOO/BOO007-4+eq_r.in")
%
%------------------------------------------------------------------------------