TSTP Solution File: LCL030-1 by Gandalf---c-2.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : LCL030-1 : 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 : art06.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/LCL030-1+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(6,40,0,12,0,0,53,50,0,59,0,0)
% 
% 
% START OF PROOF
% 54 [] -is_a_theorem(implies(X,Y)) | -is_a_theorem(X) | is_a_theorem(Y).
% 55 [] is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))).
% 56 [] is_a_theorem(implies(X,implies(Y,X))).
% 57 [] is_a_theorem(implies(implies(implies(X,Y),X),X)).
% 59 [] -is_a_theorem(implies(implies(a,implies(b,c)),implies(implies(a,b),implies(a,c)))).
% 87 [hyper:54,55,56] is_a_theorem(implies(implies(implies(X,Y),Z),implies(Y,Z))).
% 92 [hyper:54,55,55] is_a_theorem(implies(implies(implies(implies(X,Y),implies(Z,Y)),U),implies(implies(Z,X),U))).
% 100 [hyper:54,87,55] is_a_theorem(implies(X,implies(implies(X,Y),implies(Z,Y)))).
% 133 [hyper:54,100,55] is_a_theorem(implies(implies(implies(implies(X,Y),implies(Z,Y)),U),implies(X,U))).
% 179 [hyper:54,92,57] is_a_theorem(implies(implies(X,implies(X,Y)),implies(X,Y))).
% 184 [hyper:54,92,92] is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(U,Y),implies(X,implies(U,Z))))).
% 292 [hyper:54,133,179] is_a_theorem(implies(X,implies(implies(X,Y),Y))).
% 299 [hyper:54,292,55] is_a_theorem(implies(implies(implies(implies(X,Y),Y),Z),implies(X,Z))).
% 395 [hyper:54,299,92] is_a_theorem(implies(implies(X,Y),implies(implies(Z,X),implies(Z,Y)))).
% 497 [hyper:54,395,179] is_a_theorem(implies(implies(X,implies(Y,implies(Y,Z))),implies(X,implies(Y,Z)))).
% 518 [hyper:54,395,55] is_a_theorem(implies(implies(implies(implies(X,Y),implies(X,Z)),U),implies(implies(Y,Z),U))).
% 632 [hyper:54,184,292] is_a_theorem(implies(implies(X,implies(Y,Z)),implies(Y,implies(X,Z)))).
% 738 [hyper:54,632,55] is_a_theorem(implies(implies(implies(X,implies(Y,Z)),U),implies(implies(Y,implies(X,Z)),U))).
% 3436 [hyper:54,518,497] is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(Y,X),implies(Y,Z)))).
% 4849 [hyper:54,738,3436,slowcut:59] 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:    678
%  derived clauses:   261998
%  kept clauses:      3388
%  kept size sum:     57930
%  kept mid-nuclei:   1401
%  kept new demods:   0
%  forw unit-subs:    112375
%  forw double-subs: 0
%  forw overdouble-subs: 0
%  backward subs:     15
%  fast unit cutoff:  0
%  full unit cutoff:  38
%  dbl  unit cutoff:  0
%  real runtime  :  2.31
%  process. runtime:  2.30
% 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/LCL030-1+noeq.in")
% 
%------------------------------------------------------------------------------