TSTP Solution File: GRP117-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP117-1 : 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 : art01.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
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%----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/GRP117-1+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(3,40,0,6,0,0)
%
%
% START OF PROOF
% 5 [] equal(multiply(X,multiply(multiply(X,multiply(multiply(X,Y),Z)),multiply(identity,multiply(Z,Z)))),Y).
% 6 [] -equal(multiply(a,identity),a).
% 7 [para:5.1.1,5.1.1.2.1.2.1] equal(multiply(X,multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z)))),multiply(multiply(X,multiply(multiply(X,Y),U)),multiply(identity,multiply(U,U)))).
% 8 [para:7.1.1,5.1.1] equal(multiply(multiply(X,multiply(multiply(X,multiply(X,Y)),Z)),multiply(identity,multiply(Z,Z))),Y).
% 9 [para:7.1.2,5.1.1.2] equal(multiply(X,multiply(X,multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z))))),Y).
% 13 [para:7.1.1,7.1.2.2] equal(multiply(X,multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z)))),multiply(multiply(X,multiply(multiply(X,Y),multiply(identity,multiply(U,U)))),multiply(multiply(identity,multiply(multiply(identity,U),V)),multiply(identity,multiply(V,V))))).
% 14 [para:7.1.1,8.1.1.1] equal(multiply(multiply(multiply(X,multiply(multiply(X,X),Y)),multiply(identity,multiply(Y,Y))),multiply(identity,multiply(multiply(identity,multiply(Z,Z)),multiply(identity,multiply(Z,Z))))),Z).
% 15 [para:7.1.1,8.1.1.1.2.1.2,demod:5] equal(multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z))),multiply(multiply(X,multiply(Y,U)),multiply(identity,multiply(U,U)))).
% 40 [para:5.1.1,14.1.1.2] equal(multiply(multiply(multiply(X,multiply(multiply(X,X),Y)),multiply(identity,multiply(Y,Y))),Z),multiply(identity,Z)).
% 41 [para:5.1.1,14.1.1.2.2.1,demod:40,5] equal(multiply(identity,multiply(identity,multiply(X,X))),multiply(identity,multiply(multiply(identity,X),multiply(identity,X)))).
% 45 [para:15.1.1,14.1.1.1,demod:40,41] equal(multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X,X),multiply(X,X))))),X).
% 59 [para:45.1.1,9.1.1.2.2.1.2,demod:45,41] equal(multiply(X,multiply(X,multiply(multiply(X,Y),multiply(Y,Y)))),identity).
% 66 [para:59.1.1,45.1.1.2] equal(multiply(identity,identity),identity).
% 68 [para:66.1.1,5.1.1.2.2.2,demod:66] equal(multiply(X,multiply(multiply(X,multiply(multiply(X,Y),identity)),identity)),Y).
% 70 [para:66.1.1,7.1.1.2.2.2,demod:66] equal(multiply(X,multiply(multiply(X,multiply(Y,identity)),identity)),multiply(multiply(X,multiply(multiply(X,Y),Z)),multiply(identity,multiply(Z,Z)))).
% 77 [para:66.1.1,15.1.1.2.2,demod:66] equal(multiply(multiply(X,multiply(Y,identity)),identity),multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z)))).
% 82 [para:68.1.1,5.1.1.2.1,demod:66] equal(multiply(X,multiply(Y,identity)),multiply(multiply(X,Y),identity)).
% 83 [para:68.1.1,7.1.2.1,demod:66,70,82] equal(multiply(X,multiply(X,multiply(X,multiply(Y,identity)))),multiply(Y,identity)).
% 91 [para:13.1.1,5.1.1,demod:66,82,70] equal(multiply(multiply(X,multiply(multiply(X,multiply(X,Y)),multiply(identity,multiply(Z,Z)))),multiply(identity,multiply(identity,multiply(Z,identity)))),Y).
% 92 [para:5.1.1,13.1.1.2.1,demod:91,70,66,82,77] equal(multiply(X,multiply(Y,multiply(identity,multiply(identity,multiply(Z,identity))))),multiply(multiply(X,Y),Z)).
% 94 [para:5.1.1,13.1.2.1.2.1,demod:8,66,82,70] equal(multiply(X,multiply(Y,identity)),multiply(multiply(X,multiply(Y,multiply(identity,multiply(Z,Z)))),multiply(identity,multiply(identity,multiply(Z,identity))))).
% 95 [para:13.1.1,7.1.1.2.1,demod:8,83,92,77,94,66,82,70] equal(multiply(multiply(X,identity),Y),multiply(X,Y)).
% 98 [para:7.1.2,13.1.1.2,demod:91,70,83,95,82,77,slowcut:6] 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: 17
% derived clauses: 1094
% kept clauses: 90
% kept size sum: 2512
% kept mid-nuclei: 0
% kept new demods: 41
% forw unit-subs: 301
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 1
% fast unit cutoff: 0
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 0.5
% process. runtime: 0.3
% 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/GRP117-1+eq_r.in")
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