TSTP Solution File: GEO037-3 by Gandalf---c-2.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GEO037-3 : 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 : 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 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/GEO/GEO037-3+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 3 15)
% (binary-unit 9 #f 3 15)
% (binary-double 9 #f 3 15)
% (binary-double 15 #f)
% (binary-double 15 #t)
% (binary 50 #t 3 15)
% (binary-order 25 #f 3 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)
%
%
% SOS clause
% equal(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2)) | -equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2)) | -between(u,v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2)).
% was split for some strategies as:
% equal(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2)).
% -equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2)).
% -between(u,v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2)).
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(62,40,0,124,0,1,84545,4,627,95348,5,802,95349,1,802,95349,50,802,95349,40,802,95411,0,802)
%
%
% START OF PROOF
% 33714 [?] ?
% 95353 [] -equidistant(X,Y,Z,Z) | equal(X,Y).
% 95354 [] between(X,Y,extension(X,Y,Z,U)).
% 95355 [] equidistant(X,extension(Y,X,Z,U),Z,U).
% 95371 [] -equidistant(X,Y,Z,U) | equidistant(Z,U,X,Y).
% 95408 [] -equal(lower_dimension_point_1,lower_dimension_point_2).
% 95411 [?] ?
% 95427 [input:95411,cut:95354] -equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2)) | equal(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2)).
% 95436 [binary:95408,95353.2] -equidistant(lower_dimension_point_1,lower_dimension_point_2,X,X).
% 95446 [para:95427.2.2,95355.1.2] -equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2)) | equidistant(v,v,lower_dimension_point_1,lower_dimension_point_2).
% 95792 [binary:95436,95371.2] -equidistant(X,X,lower_dimension_point_1,lower_dimension_point_2).
% 95806 [binary:95446.2,95792] -equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2)).
% 95811 [binary:95371.2,95806,cut:33714] 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 15
% clause depth limited to 3
% seconds given: 3
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 180
% derived clauses: 404488
% kept clauses: 5048
% kept size sum: 107132
% kept mid-nuclei: 90526
% kept new demods: 36
% forw unit-subs: 146350
% forw double-subs: 19431
% forw overdouble-subs: 150
% backward subs: 4
% fast unit cutoff: 16316
% full unit cutoff: 0
% dbl unit cutoff: 6
% real runtime : 8.5
% process. runtime: 8.5
% specific non-discr-tree subsumption statistics:
% tried: 24240
% length fails: 39
% strength fails: 601
% predlist fails: 12361
% aux str. fails: 626
% by-lit fails: 2
% full subs tried: 10611
% full subs fail: 10461
%
% ; 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/GEO037-3+eq_r.in")
%
%------------------------------------------------------------------------------