%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : LCL374-1 : TPTP v3.4.2. Released v2.3.0.
% Transfm  : add_equality:r
% Format   : otter:hypothesis:set(auto),clear(print_given)
% Command  : gandalf-wrapper -time %d %s

% Computer : art10.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 20.0s
% Output   : Assurance 20.0s
% 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/LCL374-1+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(5,40,0,10,0,0,15772,4,2176,15772,50,2179,15772,40,2179,15777,0,2179)
% 
% 
% START OF PROOF
% 6743 [?] ?
% 15773 [] -is_a_theorem(implies(X,Y)) | -is_a_theorem(X) | is_a_theorem(Y).
% 15774 [] is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))).
% 15777 [] -is_a_theorem(implies(implies(x,y),implies(implies(implies(x,z),u),implies(implies(y,u),u)))).
% 15787 [binary:15773,15774] is_a_theorem(implies(implies(X,Y),implies(Z,Y))) | -is_a_theorem(implies(Z,X)).
% 15796 [binary:15774,15787.2] is_a_theorem(implies(implies(implies(implies(X,Y),implies(Z,Y)),U),implies(implies(Z,X),U))).
% 15837 [binary:15773,15796] -is_a_theorem(implies(implies(implies(X,Y),implies(Z,Y)),U)) | is_a_theorem(implies(implies(Z,X),U)).
% 15858 [binary:15777,15837.2] -is_a_theorem(implies(implies(implies(y,X),implies(x,X)),implies(implies(implies(x,z),u),implies(implies(y,u),u)))).
% 15860 [binary:15796,15837] is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(U,Y),implies(X,implies(U,Z))))).
% 15928 [binary:15773,15860] is_a_theorem(implies(implies(X,Y),implies(Z,implies(X,U)))) | -is_a_theorem(implies(Z,implies(Y,U))).
% 15949 [binary:15858,15928,cut:6743] contradiction
% END OF PROOF
% 
% Proof found by the following strategy:
% 
% using binary resolution
% not using sos strategy
% using unit 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 5
% clause depth limited to 5
% seconds given: 11
% 
% 
% ***GANDALF_FOUND_A_REFUTATION***
% 
% Global statistics over all passes: 
% 
%  given clauses:    2613
%  derived clauses:   1547243
%  kept clauses:      10824
%  kept size sum:     180985
%  kept mid-nuclei:   5050
%  kept new demods:   0
%  forw unit-subs:    358152
%  forw double-subs: 5
%  forw overdouble-subs: 0
%  backward subs:     106
%  fast unit cutoff:  1
%  full unit cutoff:  20
%  dbl  unit cutoff:  0
%  real runtime  :  21.82
%  process. runtime:  21.80
% 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/LCL374-1+noeq.in")
% 
%------------------------------------------------------------------------------