TSTP Solution File: COL063-1 by Gandalf---c-2.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : COL063-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm : add_equality:r
% Format : otter:hypothesis:set(auto),clear(print_given)
% Command : gandalf-wrapper -time %d %s
% Computer : art02.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/COL/COL063-1+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(4,40,0,8,0,0,10,50,0,14,0,0,19,50,0,23,0,0,30,50,0,34,0,0,55,50,0,59,0,0,133,50,1,137,0,1)
%
%
% START OF PROOF
% 135 [] equal(apply(apply(apply(b,X),Y),Z),apply(X,apply(Y,Z))).
% 136 [] equal(apply(apply(t,X),Y),apply(Y,X)).
% 137 [] -equal(apply(apply(apply(X,f(X)),g(X)),h(X)),apply(apply(h(X),g(X)),f(X))).
% 142 [para:135.1.1,137.1.1.1.1] -equal(apply(apply(apply(X,apply(Y,f(apply(apply(b,X),Y)))),g(apply(apply(b,X),Y))),h(apply(apply(b,X),Y))),apply(apply(h(apply(apply(b,X),Y)),g(apply(apply(b,X),Y))),f(apply(apply(b,X),Y)))).
% 150 [para:136.1.1,142.1.1.1.1] -equal(apply(apply(apply(apply(X,f(apply(apply(b,apply(t,Y)),X))),Y),g(apply(apply(b,apply(t,Y)),X))),h(apply(apply(b,apply(t,Y)),X))),apply(apply(h(apply(apply(b,apply(t,Y)),X)),g(apply(apply(b,apply(t,Y)),X))),f(apply(apply(b,apply(t,Y)),X)))).
% 173 [para:135.1.1,150.1.1.1.1.1] -equal(apply(apply(apply(apply(X,apply(Y,f(apply(apply(b,apply(t,Z)),apply(apply(b,X),Y))))),Z),g(apply(apply(b,apply(t,Z)),apply(apply(b,X),Y)))),h(apply(apply(b,apply(t,Z)),apply(apply(b,X),Y)))),apply(apply(h(apply(apply(b,apply(t,Z)),apply(apply(b,X),Y))),g(apply(apply(b,apply(t,Z)),apply(apply(b,X),Y)))),f(apply(apply(b,apply(t,Z)),apply(apply(b,X),Y))))).
% 215 [para:135.1.1,173.1.1.1] -equal(apply(apply(apply(X,f(apply(apply(b,apply(t,Y)),apply(apply(b,b),X)))),apply(Y,g(apply(apply(b,apply(t,Y)),apply(apply(b,b),X))))),h(apply(apply(b,apply(t,Y)),apply(apply(b,b),X)))),apply(apply(h(apply(apply(b,apply(t,Y)),apply(apply(b,b),X))),g(apply(apply(b,apply(t,Y)),apply(apply(b,b),X)))),f(apply(apply(b,apply(t,Y)),apply(apply(b,b),X))))).
% 274 [para:135.1.1,215.1.1.1.1] -equal(apply(apply(apply(X,apply(Y,f(apply(apply(b,apply(t,Z)),apply(apply(b,b),apply(apply(b,X),Y)))))),apply(Z,g(apply(apply(b,apply(t,Z)),apply(apply(b,b),apply(apply(b,X),Y)))))),h(apply(apply(b,apply(t,Z)),apply(apply(b,b),apply(apply(b,X),Y))))),apply(apply(h(apply(apply(b,apply(t,Z)),apply(apply(b,b),apply(apply(b,X),Y)))),g(apply(apply(b,apply(t,Z)),apply(apply(b,b),apply(apply(b,X),Y))))),f(apply(apply(b,apply(t,Z)),apply(apply(b,b),apply(apply(b,X),Y)))))).
% 345 [para:135.1.1,274.1.1] -equal(apply(apply(X,f(apply(apply(b,apply(t,Y)),apply(apply(b,b),apply(apply(b,b),X))))),apply(apply(Y,g(apply(apply(b,apply(t,Y)),apply(apply(b,b),apply(apply(b,b),X))))),h(apply(apply(b,apply(t,Y)),apply(apply(b,b),apply(apply(b,b),X)))))),apply(apply(h(apply(apply(b,apply(t,Y)),apply(apply(b,b),apply(apply(b,b),X)))),g(apply(apply(b,apply(t,Y)),apply(apply(b,b),apply(apply(b,b),X))))),f(apply(apply(b,apply(t,Y)),apply(apply(b,b),apply(apply(b,b),X)))))).
% 421 [para:136.1.1,345.1.1.2,slowcut:136] 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 10
% seconds given: 60
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 341
% derived clauses: 859
% kept clauses: 391
% kept size sum: 31626
% kept mid-nuclei: 0
% kept new demods: 12
% forw unit-subs: 114
% 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 : 0.6
% process. runtime: 0.5
% 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/COL/COL063-1+eq_r.in")
%
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