TSTP Solution File: GEO028-2 by Gandalf---c-2.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GEO028-2 : 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 : art03.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 10.0s
% Output : Assurance 10.0s
% 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/GEO028-2+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(22,40,0,44,0,0,174664,4,1944)
%
%
% START OF PROOF
% 24 [] equidistant(X,Y,Y,X).
% 25 [] -equidistant(X,Y,V,W) | -equidistant(X,Y,Z,U) | equidistant(Z,U,V,W).
% 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).
% 29 [] -equidistant(X,X1,Z,X2) | -equidistant(Y,X1,U,X2) | -equidistant(X,Y,Z,U) | -equidistant(Y,V,U,W) | equidistant(V,X1,W,X2) | -between(X,Y,V) | -between(Z,U,W) | equal(X,Y).
% 30 [] -between(X,Y,X) | equal(X,Y).
% 40 [] between(X,continuous(Y,Z,X,U,V,W),W) | -equidistant(Y,Z,Y,X) | -equidistant(Y,V,Y,W) | -between(Z,U,V) | -between(Y,Z,V).
% 41 [] equidistant(X,Y,X,continuous(X,Z,U,Y,V,W)) | -equidistant(X,Z,X,U) | -equidistant(X,V,X,W) | -between(Z,Y,V) | -between(X,Z,V).
% 42 [] equidistant(w,x,y,z).
% 43 [] -equal(u,v).
% 44 [] -equal(extension(u,v,w,x),extension(u,v,y,z)).
% 57 [hyper:25,24,24] equidistant(X,Y,X,Y).
% 423 [hyper:25,28,24] equidistant(X,Y,extension(Z,U,X,Y),U).
% 424 [hyper:25,28,57] equidistant(X,Y,Z,extension(U,Z,X,Y)).
% 425 [hyper:26,28] equal(X,extension(Y,X,Z,Z)).
% 658 [para:425.1.2,27.1.3] between(X,Y,Y).
% 659 [para:425.1.2,28.1.2] equidistant(X,X,Y,Y).
% 2409 [hyper:40,658,658,57,57] between(X,continuous(Y,X,X,X,X,X),X).
% 2453 [hyper:41,658,658,57,57] equidistant(X,Y,X,continuous(X,Y,Y,Y,Y,Y)).
% 3529 [hyper:25,423,24] equidistant(X,Y,extension(Z,U,Y,X),U).
% 3633 [hyper:25,424,42] equidistant(y,z,X,extension(Y,X,w,x)).
% 3634 [hyper:25,424,24] equidistant(X,Y,Z,extension(U,Z,Y,X)).
% 3643 [hyper:25,424,424] equidistant(X,extension(Y,X,Z,U),V,extension(W,V,Z,U)).
% 4648 [hyper:25,3529,423] equidistant(extension(X,Y,Z,U),Y,extension(V,W,U,Z),W).
% 4895 [hyper:25,3634,424] equidistant(X,extension(Y,X,Z,U),V,extension(W,V,U,Z)).
% 8956 [hyper:25,3633,424] equidistant(X,extension(Y,X,w,x),Z,extension(U,Z,y,z)).
% 19422 [hyper:30,2409] equal(X,continuous(Y,X,X,X,X,X)).
% 47269 [hyper:29,3643,27,27,24,659,cut:24] equidistant(extension(X,Y,Z,U),X,extension(Y,X,Z,U),Y) | equal(X,Y).
% 141885 [hyper:43,47269] equidistant(extension(u,v,X,Y),u,extension(v,u,X,Y),v).
% 142729 [hyper:25,141885,57] equidistant(extension(v,u,X,Y),v,extension(u,v,X,Y),u).
% 146729 [hyper:29,142729,4648,27,27,4895,demod:425,cut:24,cut:43] equidistant(extension(u,v,X,Y),u,extension(v,u,Y,X),v).
% 152065 [hyper:25,146729,47269,cut:43] equidistant(extension(v,u,X,Y),v,extension(v,u,Y,X),v).
% 157899 [hyper:29,152065,2453,27,27,8956,demod:19422,425,cut:57,cut:43] equidistant(extension(u,v,w,x),X,extension(u,v,y,z),X).
% 174938 [binary:26.2,44,slowcut:157899] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% not using sos 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: 301
% derived clauses: 1140779
% kept clauses: 681
% kept size sum: 10623
% kept mid-nuclei: 174052
% kept new demods: 8
% forw unit-subs: 250858
% forw double-subs: 29672
% forw overdouble-subs: 32
% backward subs: 6
% fast unit cutoff: 48297
% full unit cutoff: 30
% dbl unit cutoff: 102
% real runtime : 19.46
% process. runtime: 19.45
% specific non-discr-tree subsumption statistics:
% tried: 10143
% length fails: 0
% strength fails: 679
% predlist fails: 2350
% aux str. fails: 875
% by-lit fails: 0
% full subs tried: 6239
% full subs fail: 6207
%
% ; 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/GEO028-2+eq_r.in")
%
%------------------------------------------------------------------------------