TSTP Solution File: LCL086-1 by Gandalf---c-2.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : LCL086-1 : 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/LCL086-1+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 5 5)
% (binary-unit 11 #f 5 5)
% (binary-double 17 #f 5 5)
% (hyper 29 #f)
% (binary-unit 34 #f)
% (binary-weightorder 40 #f)
% (binary 17 #t)
% (binary-order 29 #f)
% (binary-posweight-order 111 #f 5 5)
% (binary-posweight-order 283 #f)
% 
% 
% **** EMPTY CLAUSE DERIVED ****
% 
% 
% timer checkpoints: c(3,40,0,6,0,0,9,50,0,12,0,0)
% 
% 
% START OF PROOF
% 10 [] -is_a_theorem(implies(X,Y)) | -is_a_theorem(X) | is_a_theorem(Y).
% 11 [] is_a_theorem(implies(implies(implies(X,Y),implies(Z,U)),implies(V,implies(implies(U,X),implies(Z,X))))).
% 12 [] -is_a_theorem(implies(a,a)).
% 15 [hyper:10,11,11] is_a_theorem(implies(X,implies(implies(implies(implies(Y,Z),implies(U,Z)),implies(Z,V)),implies(W,implies(Z,V))))).
% 20 [hyper:10,15,slowcut:15] is_a_theorem(implies(implies(implies(implies(X,Y),implies(Z,Y)),implies(Y,U)),implies(V,implies(Y,U)))).
% 22 [hyper:10,20,11] is_a_theorem(implies(X,implies(Y,implies(implies(Y,Z),implies(U,Z))))).
% 23 [hyper:10,20,20] is_a_theorem(implies(X,implies(implies(Y,Z),implies(Z,implies(Y,Z))))).
% 25 [hyper:10,20,11] is_a_theorem(implies(X,implies(implies(implies(Y,Z),implies(implies(U,Y),implies(V,Y))),implies(W,implies(implies(U,Y),implies(V,Y)))))).
% 29 [hyper:10,22,slowcut:25] is_a_theorem(implies(X,implies(implies(X,Y),implies(Z,Y)))).
% 31 [hyper:10,22,11] is_a_theorem(implies(X,implies(implies(implies(implies(Y,Z),implies(U,Z)),V),implies(Y,V)))).
% 36 [hyper:10,29,11] is_a_theorem(implies(X,implies(implies(implies(Y,Z),U),implies(implies(implies(U,V),Z),U)))).
% 40 [hyper:10,23,slowcut:36] is_a_theorem(implies(implies(X,Y),implies(Y,implies(X,Y)))).
% 49 [hyper:10,40,11] is_a_theorem(implies(X,implies(implies(implies(Y,Z),Y),implies(Z,Y)))).
% 50 [hyper:10,40,29] is_a_theorem(implies(implies(implies(implies(X,Y),implies(Y,implies(X,Y))),Z),implies(U,Z))).
% 54 [hyper:10,49,slowcut:50] is_a_theorem(implies(implies(implies(X,Y),X),implies(Y,X))).
% 65 [hyper:10,54,20] is_a_theorem(implies(X,implies(Y,implies(Z,Y)))).
% 78 [?] ?
% 82 [hyper:10,65,slowcut:78] is_a_theorem(implies(X,implies(Y,X))).
% 84 [hyper:10,65,11] is_a_theorem(implies(X,implies(implies(implies(Y,Z),U),implies(Z,U)))).
% 93 [hyper:10,82,65] is_a_theorem(implies(X,implies(Y,implies(Z,implies(U,Z))))).
% 95 [hyper:10,82,11] is_a_theorem(implies(X,implies(implies(implies(Y,Z),Y),implies(U,Y)))).
% 103 [hyper:10,93,82] is_a_theorem(implies(X,implies(Y,implies(Z,implies(U,implies(V,U)))))).
% 106 [hyper:10,31,slowcut:103] is_a_theorem(implies(implies(implies(implies(X,Y),implies(Z,Y)),U),implies(X,U))).
% 108 [hyper:10,84,slowcut:106] is_a_theorem(implies(implies(implies(X,Y),Z),implies(Y,Z))).
% 118 [hyper:10,108,82] is_a_theorem(implies(X,implies(Y,implies(Z,X)))).
% 131 [hyper:10,118,108] is_a_theorem(implies(X,implies(Y,implies(Z,implies(U,X))))).
% 144 [hyper:10,131,108] is_a_theorem(implies(X,implies(Y,implies(Z,implies(U,implies(V,X)))))).
% 148 [hyper:10,95,slowcut:144] is_a_theorem(implies(implies(implies(X,Y),X),implies(Z,X))).
% 156 [hyper:10,148,54] is_a_theorem(implies(X,implies(Y,Y))).
% 159 [hyper:10,148,29] is_a_theorem(implies(implies(implies(implies(implies(X,Y),X),implies(Z,X)),U),implies(V,U))).
% 163 [hyper:10,156,slowcut:12,slowcut:159] 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 6
% seconds given: 29
% 
% 
% ***GANDALF_FOUND_A_REFUTATION***
% 
% Global statistics over all passes: 
% 
%  given clauses:    29
%  derived clauses:   819
%  kept clauses:      77
%  kept size sum:     1156
%  kept mid-nuclei:   64
%  kept new demods:   0
%  forw unit-subs:    547
%  forw double-subs: 0
%  forw overdouble-subs: 0
%  backward subs:     3
%  fast unit cutoff:  0
%  full unit cutoff:  9
%  dbl  unit cutoff:  0
%  real runtime  :  0.1
%  process. runtime:  0.0
% 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/LCL086-1+noeq.in")
% 
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