TSTP Solution File: GEO011-1 by Gandalf---c-2.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GEO011-1 : 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 : art07.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 30.0s
% Output : Assurance 30.0s
% 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/GEO011-1+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)
%
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(26,40,0,52,0,0,206318,4,1964,229363,5,2501,229364,1,2501,229364,50,2502,229364,40,2502,229390,0,2502,252145,3,2953,254174,4,3178,263825,5,3403,263826,5,3403,263826,1,3403,263826,50,3404,263826,40,3404,263852,0,3404)
%
%
% START OF PROOF
% 263828 [] -between(X,Y,X) | equal(X,Y).
% 263832 [] -equidistant(X,Y,Z,Z) | equal(X,Y).
% 263834 [] between(X,outer_pasch(Y,X,Z,U,V),Z) | -between(Z,V,U) | -between(X,Y,V).
% 263835 [] between(X,Y,outer_pasch(Y,Z,U,X,V)) | -between(U,V,X) | -between(Z,Y,V).
% 263840 [] between(X,Y,extension(X,Y,Z,U)).
% 263841 [] equidistant(X,extension(Y,X,Z,U),Z,U).
% 263842 [] -between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3).
% 263843 [] -between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1).
% 263844 [] -between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2).
% 263848 [] -colinear(X,Y,Z) | between(Y,X,Z) | between(X,Z,Y) | between(X,Y,Z).
% 263852 [] colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3).
% 263948 [binary:263828,263834] equal(X,outer_pasch(Y,X,X,Z,U)) | -between(X,Y,U) | -between(X,U,Z).
% 263961 [binary:263832,263841] equal(X,extension(Y,X,Z,Z)).
% 263964 [para:263961.1.2,263840.1.3] between(X,Y,Y).
% 264335 [binary:263852,263848,cut:263842] between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_3) | between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2).
% 270930 [binary:263964,263948.2] equal(X,outer_pasch(Y,X,X,Z,Y)) | -between(X,Y,Z).
% 271061 [para:270930.1.2,263835.1.3,cut:263964] -between(X,Y,Z) | between(Z,Y,X).
% 271247 [binary:263843,271061.2] -between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2).
% 271320 [binary:264335,271061,cut:263844,cut:271247] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% not using sos 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: 9
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 1884
% derived clauses: 927241
% kept clauses: 60110
% kept size sum: 132555
% kept mid-nuclei: 208486
% kept new demods: 18
% forw unit-subs: 204276
% forw double-subs: 107824
% forw overdouble-subs: 109293
% backward subs: 253
% fast unit cutoff: 103369
% full unit cutoff: 26
% dbl unit cutoff: 681
% real runtime : 34.98
% process. runtime: 34.91
% specific non-discr-tree subsumption statistics:
% tried: 8794181
% length fails: 426676
% strength fails: 1058414
% predlist fails: 3724548
% aux str. fails: 129517
% by-lit fails: 902407
% full subs tried: 2486271
% full subs fail: 2382925
%
% ; 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/GEO011-1+eq_r.in")
%
%------------------------------------------------------------------------------