TSTP Solution File: GEO043-2 by Gandalf---c-2.6

View Problem - Process Solution

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% File     : Gandalf---c-2.6
% Problem  : GEO043-2 : 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 : art09.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 : 
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%----NO SOLUTION OUTPUT BY SYSTEM
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%----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/GEO/GEO043-2+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
% 
% prove-all-passes started
% 
% detected problem class: neq
% detected subclass: medium
% 
% strategies selected: 
% (hyper 25 #f 2 15)
% (binary-unit 9 #f 2 15)
% (binary-double 9 #f 2 15)
% (binary-double 15 #f)
% (binary-double 15 #t)
% (binary 50 #t 2 15)
% (binary-order 25 #f 2 15)
% (binary-posweight-order 101 #f)
% (binary-posweight-lex-big-order 25 #f)
% (binary-posweight-lex-small-order 9 #f)
% (binary-order-sos 50 #t)
% (binary-unit-uniteq 25 #f)
% (binary-weightorder 50 #f)
% (binary-order 50 #f)
% (hyper-order 30 #f)
% (binary 112 #t)
% 
% 
% ********* EMPTY CLAUSE DERIVED *********
% 
% 
% timer checkpoints: c(22,40,1,44,0,1)
% 
% 
% START OF PROOF
% 26 [] -equidistant(X,Y,Z,Z) | equal(X,Y).
% 27 [] between(X,Y,extension(X,Y,Z,U)).
% 28 [] equidistant(X,extension(Y,X,Z,U),Z,U).
% 30 [] -between(X,Y,X) | equal(X,Y).
% 31 [] between(X,inner_pasch(Y,X,Z,U,V),V) | -between(V,U,Z) | -between(Y,X,Z).
% 32 [] between(X,inner_pasch(Y,Z,U,X,V),Y) | -between(V,X,U) | -between(Y,Z,U).
% 42 [] between(u,v,w).
% 43 [] between(u,w,x).
% 44 [] -between(v,w,x).
% 217 [hyper:26,28] equal(X,extension(Y,X,Z,Z)).
% 282 [para:217.1.2,27.1.3] between(X,Y,Y).
% 324 [hyper:31,282,42] between(w,inner_pasch(X,w,w,v,u),u).
% 325 [hyper:31,282,43] between(x,inner_pasch(X,x,x,w,u),u).
% 331 [hyper:32,282,42] between(v,inner_pasch(X,w,w,v,u),X).
% 332 [hyper:32,282,43] between(w,inner_pasch(X,x,x,w,u),X).
% 4050 [hyper:30,331] equal(v,inner_pasch(v,w,w,v,u)).
% 4115 [hyper:30,332] equal(w,inner_pasch(w,x,x,w,u)).
% 4202 [para:4050.1.2,324.1.2] between(w,v,u).
% 5541 [para:4115.1.2,325.1.2] between(x,w,u).
% 5836 [hyper:31,5541,4202] between(v,inner_pasch(w,v,u,w,x),x).
% 5845 [hyper:32,5541,4202] between(w,inner_pasch(w,v,u,w,x),w).
% 8123 [hyper:30,5845] equal(w,inner_pasch(w,v,u,w,x)).
% 8430 [para:8123.1.2,5836.1.2,cut: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 15
% clause depth limited to 2
% seconds given: 25
% 
% 
% ***GANDALF_FOUND_A_REFUTATION***
% 
% Global statistics over all passes: 
% 
%  given clauses:    120
%  derived clauses:   28477
%  kept clauses:      248
%  kept size sum:     2701
%  kept mid-nuclei:   8103
%  kept new demods:   32
%  forw unit-subs:    9757
%  forw double-subs: 842
%  forw overdouble-subs: 0
%  backward subs:     4
%  fast unit cutoff:  1682
%  full unit cutoff:  0
%  dbl  unit cutoff:  16
%  real runtime  :  0.49
%  process. runtime:  0.47
% specific non-discr-tree subsumption statistics: 
%  tried:           3451
%  length fails:    0
%  strength fails:  475
%  predlist fails:  1480
%  aux str. fails:  145
%  by-lit fails:    0
%  full subs tried: 1351
%  full subs fail:  1351
% 
% ; 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/GEO/GEO043-2+eq_r.in")
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