TSTP Solution File: GEO010-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GEO010-1 : TPTP v3.4.2. Bugfixed v2.5.0.
% Transfm : add_equality:r
% Format : otter:hypothesis:set(auto),clear(print_given)
% Command : gandalf-wrapper -time %d %s
% Computer : art01.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
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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/GEO010-1+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)
%
%
% SOS clause
% -colinear(a,c,b) | -colinear(b,a,c) | -colinear(b,c,a) | -colinear(c,a,b) | -colinear(c,b,a).
% was split for some strategies as:
% -colinear(a,c,b).
% -colinear(b,a,c).
% -colinear(b,c,a).
% -colinear(c,a,b).
% -colinear(c,b,a).
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(27,40,1,54,0,1,73514,4,989,77321,5,1202,77321,1,1202,77321,50,1202,77321,40,1202,77348,0,1202,89764,3,1403,91725,4,1503,95017,5,1607,95018,5,1607,95018,1,1607,95018,50,1608,95018,40,1608,95045,0,1608,108023,3,1811,111004,4,1909)
%
%
% START OF PROOF
% 95020 [] -between(X,Y,X) | equal(X,Y).
% 95021 [] -between(Y,U,Z) | -between(X,Y,Z) | between(X,Y,U).
% 95024 [] -equidistant(X,Y,Z,Z) | equal(X,Y).
% 95026 [] between(X,outer_pasch(Y,X,Z,U,V),Z) | -between(Z,V,U) | -between(X,Y,V).
% 95027 [] between(X,Y,outer_pasch(Y,Z,U,X,V)) | -between(U,V,X) | -between(Z,Y,V).
% 95032 [] between(X,Y,extension(X,Y,Z,U)).
% 95033 [] equidistant(X,extension(Y,X,Z,U),Z,U).
% 95040 [] -colinear(X,Y,Z) | between(Y,X,Z) | between(X,Z,Y) | between(X,Y,Z).
% 95041 [] -between(X,Y,Z) | colinear(X,Y,Z).
% 95042 [] -between(X,Y,Z) | colinear(Y,X,Z).
% 95043 [] -between(X,Y,Z) | colinear(X,Z,Y).
% 95044 [] colinear(a,b,c).
% 95045 [] -colinear(c,a,b) | -colinear(c,b,a) | -colinear(b,c,a) | -colinear(a,c,b) | -colinear(b,a,c).
% 95075 [binary:95045,95041.2] -colinear(a,c,b) | -colinear(b,a,c) | -colinear(b,c,a) | -colinear(c,b,a) | -between(c,a,b).
% 95139 [binary:95042.2,95075] -colinear(c,b,a) | -colinear(b,a,c) | -colinear(b,c,a) | -between(c,a,b).
% 95163 [binary:95020,95026] equal(X,outer_pasch(Y,X,X,Z,U)) | -between(X,Y,U) | -between(X,U,Z).
% 95167 [binary:95024,95033] equal(X,extension(Y,X,Z,Z)).
% 95170 [para:95167.1.2,95032.1.3] between(X,Y,Y).
% 95184 [binary:95043.2,95139] -colinear(b,c,a) | -colinear(b,a,c) | -between(c,a,b).
% 95187 [binary:95021.2,95170] -between(X,Y,X) | between(Z,X,Y).
% 95232 [binary:95041.2,95184] -colinear(b,a,c) | -between(c,a,b) | -between(b,c,a).
% 95340 [binary:95043.2,95232] -between(c,a,b) | -between(b,c,a).
% 95459 [binary:95187.2,95340.2] -between(c,a,b) | -between(c,a,c).
% 95563 [binary:95041,95040.2,binarycut:95042] -colinear(X,Y,Z) | colinear(Y,X,Z) | between(X,Z,Y).
% 95565 [binary:95041,95040.3,binarycut:95043] -colinear(X,Y,Z) | colinear(X,Z,Y) | between(Y,X,Z).
% 95671 [binary:95021.3,95459.2,factor] -between(c,a,b) | -between(a,c,b).
% 98987 [binary:95044,95563] colinear(b,a,c) | between(a,c,b).
% 99037 [binary:95671.2,95563.3,cut:95044] -between(c,a,b) | colinear(b,a,c).
% 99122 [binary:95184.2,99037.2] -colinear(b,c,a) | -between(c,a,b).
% 99348 [binary:95043.2,99122] -between(c,a,b) | -between(b,a,c).
% 99816 [binary:95044,95565] colinear(a,c,b) | between(b,a,c).
% 102665 [binary:95170,95163.2] equal(X,outer_pasch(Y,X,X,Z,Y)) | -between(X,Y,Z).
% 102855 [para:102665.1.2,95027.1.3,cut:95170] -between(X,Y,Z) | between(Z,Y,X).
% 103144 [binary:95563.3,102855,binarycut:95043] -colinear(X,Y,Z) | colinear(Y,X,Z).
% 103149 [binary:98987.2,102855,binarycut:95043] colinear(b,a,c).
% 103161 [binary:99348.2,102855.2] -between(c,a,b).
% 103171 [binary:95565.3,102855,binarycut:95042] -colinear(X,Y,Z) | colinear(X,Z,Y).
% 103172 [binary:99816.2,102855,cut:103161] colinear(a,c,b).
% 103706 [binary:103172,103144] colinear(c,a,b).
% 103709 [binary:103149,103171] colinear(b,c,a).
% 103710 [binary:103706,103171] colinear(c,b,a).
% 111005 [binary:103706,95045,cut:103710,cut:103709,cut:103172,cut:103149] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% not using sos strategy
% using unit paramodulation strategy
% using unit strategy
% using double 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 2
% seconds given: 4
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 1635
% derived clauses: 335004
% kept clauses: 34623
% kept size sum: 987516
% kept mid-nuclei: 74270
% kept new demods: 17
% forw unit-subs: 92572
% forw double-subs: 13080
% forw overdouble-subs: 41299
% backward subs: 243
% fast unit cutoff: 21126
% full unit cutoff: 28
% dbl unit cutoff: 144
% real runtime : 19.17
% process. runtime: 19.17
% specific non-discr-tree subsumption statistics:
% tried: 11867622
% length fails: 415389
% strength fails: 2768671
% predlist fails: 1949815
% aux str. fails: 199849
% by-lit fails: 3257283
% full subs tried: 2830275
% full subs fail: 2803536
%
% ; 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/GEO010-1+eq_r.in")
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