TSTP Solution File: LCL080-2 by Gandalf---c-2.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : LCL080-2 : 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 : 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/LCL/LCL080-2+noeq.in
% Using automatic strategy selection.
% Time limit in seconds: 600
% 
% prove-all-passes started
% 
% detected problem class: hne
% detected subclass: small
% detected subclass: short
% 
% strategies selected: 
% (hyper 29 #f 4 5)
% (binary-unit 11 #f 4 5)
% (binary-double 17 #f 4 5)
% (hyper 29 #f)
% (binary-unit 34 #f)
% (binary-weightorder 40 #f)
% (binary 17 #t)
% (binary-order 29 #f)
% (binary-posweight-order 111 #f 4 5)
% (binary-posweight-order 283 #f)
% 
% 
% **** EMPTY CLAUSE DERIVED ****
% 
% 
% timer checkpoints: c(6,40,0,12,0,0,38,50,0,44,0,0)
% 
% 
% START OF PROOF
% 39 [] -is_a_theorem(implies(X,Y)) | -is_a_theorem(X) | is_a_theorem(Y).
% 41 [] is_a_theorem(implies(X,implies(Y,X))).
% 42 [] is_a_theorem(implies(implies(implies(X,Y),X),X)).
% 43 [] is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))).
% 44 [] -is_a_theorem(implies(implies(implies(a,b),c),implies(implies(c,a),implies(e,a)))).
% 67 [hyper:39,43,41] is_a_theorem(implies(implies(implies(X,Y),Z),implies(Y,Z))).
% 69 [hyper:39,43,42] is_a_theorem(implies(implies(X,Y),implies(implies(implies(X,Z),X),Y))).
% 72 [hyper:39,43,43] is_a_theorem(implies(implies(implies(implies(X,Y),implies(Z,Y)),U),implies(implies(Z,X),U))).
% 79 [hyper:39,67,43] is_a_theorem(implies(X,implies(implies(X,Y),implies(Z,Y)))).
% 101 [hyper:39,79,43] is_a_theorem(implies(implies(implies(implies(X,Y),implies(Z,Y)),U),implies(X,U))).
% 106 [hyper:39,69,41] is_a_theorem(implies(implies(implies(X,Y),X),implies(Z,X))).
% 126 [hyper:39,72,42] is_a_theorem(implies(implies(X,implies(X,Y)),implies(X,Y))).
% 198 [hyper:39,101,126] is_a_theorem(implies(X,implies(implies(X,Y),Y))).
% 205 [hyper:39,198,43] is_a_theorem(implies(implies(implies(implies(X,Y),Y),Z),implies(X,Z))).
% 283 [hyper:39,205,72] is_a_theorem(implies(implies(X,Y),implies(implies(Z,X),implies(Z,Y)))).
% 284 [hyper:39,205,101] is_a_theorem(implies(implies(X,Y),implies(X,implies(Z,Y)))).
% 289 [hyper:39,284,72] is_a_theorem(implies(implies(implies(implies(X,Y),implies(Z,Y)),U),implies(V,implies(implies(Z,X),U)))).
% 334 [hyper:39,283,42] is_a_theorem(implies(implies(X,implies(implies(Y,Z),Y)),implies(X,Y))).
% 339 [hyper:39,283,106] is_a_theorem(implies(implies(X,implies(implies(Y,Z),Y)),implies(X,implies(U,Y)))).
% 349 [hyper:39,283,284] is_a_theorem(implies(implies(X,implies(Y,Z)),implies(X,implies(Y,implies(U,Z))))).
% 1225 [hyper:39,289,334] is_a_theorem(implies(X,implies(implies(implies(Y,Z),U),implies(implies(U,Y),Y)))).
% 1226 [hyper:39,289,339] is_a_theorem(implies(X,implies(implies(implies(Y,Z),U),implies(implies(U,Y),implies(V,Y))))).
% 1229 [hyper:39,1225,slowcut:1226] is_a_theorem(implies(implies(implies(X,Y),Z),implies(implies(Z,X),X))).
% 1257 [hyper:39,1229,349,slowcut:44] contradiction
% END OF PROOF
% 
% Proof found by the following strategy:
% 
% using hyperresolution
% not using sos strategy
% using positive unit paramodulation strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% clause length limited to 5
% clause depth limited to 5
% seconds given: 29
% 
% 
% ***GANDALF_FOUND_A_REFUTATION***
% 
% Global statistics over all passes: 
% 
%  given clauses:    257
%  derived clauses:   47548
%  kept clauses:      716
%  kept size sum:     11532
%  kept mid-nuclei:   518
%  kept new demods:   0
%  forw unit-subs:    20658
%  forw double-subs: 0
%  forw overdouble-subs: 0
%  backward subs:     4
%  fast unit cutoff:  0
%  full unit cutoff:  1
%  dbl  unit cutoff:  0
%  real runtime  :  0.29
%  process. runtime:  0.28
% 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/LCL/LCL080-2+noeq.in")
% 
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