%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GEO025-3 : 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 : art05.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/GEO025-3+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 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(42,40,0,84,0,0)
%
%
% START OF PROOF
% 44 [] equidistant(X,Y,Y,X).
% 45 [] -equidistant(X,Y,V,W) | -equidistant(X,Y,Z,U) | equidistant(Z,U,V,W).
% 46 [] -equidistant(X,Y,Z,Z) | equal(X,Y).
% 49 [] -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).
% 50 [] -between(X,Y,X) | equal(X,Y).
% 51 [] between(X,inner_pasch(Y,X,Z,U,V),V) | -between(V,U,Z) | -between(Y,X,Z).
% 52 [] between(X,inner_pasch(Y,Z,U,X,V),Y) | -between(V,X,U) | -between(Y,Z,U).
% 63 [] equidistant(X,Y,X,Y).
% 66 [] -equidistant(X,Y,Z,U) | equidistant(X,Y,U,Z).
% 67 [] -equidistant(X,Y,Z,U) | equidistant(Y,X,U,Z).
% 70 [] -equidistant(X,Y,Z,U) | equidistant(U,Z,Y,X).
% 71 [] -equidistant(Z,U,V,W) | -equidistant(X,Y,Z,U) | equidistant(X,Y,V,W).
% 72 [] equal(X,extension(Y,X,Z,Z)).
% 73 [] -equal(X,extension(Y,Z,U,V)) | between(Y,Z,X).
% 75 [] equidistant(X,reflection(Y,X),Y,X).
% 76 [] equal(X,reflection(Y,X)) | -equal(Y,X).
% 79 [] equidistant(X,X,Y,Y).
% 80 [] equidistant(u,v,u1,v1).
% 81 [] equidistant(v,w,v1,w1).
% 82 [] between(u,v,w).
% 83 [] between(u1,v1,w1).
% 84 [] -equidistant(u,w,u1,w1).
% 134 [hyper:67,80] equidistant(v,u,v1,u1).
% 252 [hyper:45,81,63] equidistant(v1,w1,v,w).
% 277 [hyper:70,81] equidistant(w1,v1,w,v).
% 306 [hyper:49,79,83,82,cut:81,cut:134,cut:80] equidistant(w,u,w1,u1) | equal(u,v).
% 1074 [hyper:73,72] between(X,Y,Y).
% 1312 [hyper:51,1074,83] between(v1,inner_pasch(u1,v1,w1,w1,X),X).
% 1313 [hyper:51,1074,1074] between(X,inner_pasch(Y,X,X,X,Z),Z).
% 1319 [hyper:52,1074,83] between(w1,inner_pasch(u1,v1,w1,w1,X),u1).
% 1320 [hyper:52,1074,1074] between(X,inner_pasch(Y,X,X,X,Z),Y).
% 2170 [hyper:45,75,44] equidistant(X,Y,reflection(X,Y),Y).
% 2171 [hyper:45,75,63] equidistant(X,Y,Y,reflection(X,Y)).
% 7623 [hyper:45,2171,277] equidistant(w,v,v1,reflection(w1,v1)).
% 14625 [hyper:67,306,cut:84] equal(u,v).
% 14629 [para:14625.1.2,80.1.2] equidistant(u,u,u1,v1).
% 14630 [para:14625.1.2,81.1.1] equidistant(u,w,v1,w1).
% 14637 [para:14625.1.2,252.1.3] equidistant(v1,w1,u,w).
% 14688 [para:14625.1.2,7623.1.2] equidistant(w,u,v1,reflection(w1,v1)).
% 14919 [hyper:45,14629,79] equidistant(X,X,u1,v1).
% 14921 [hyper:45,14629,79] equidistant(u1,v1,X,X).
% 15771 [hyper:66,14919] equidistant(X,X,v1,u1).
% 15777 [hyper:71,14919,2170] equidistant(X,X,reflection(u1,v1),v1).
% 16363 [hyper:46,14921] equal(u1,v1).
% 18343 [hyper:76,16363] equal(v1,reflection(u1,v1)).
% 54375 [hyper:50,1312] equal(v1,inner_pasch(u1,v1,w1,w1,v1)).
% 55329 [hyper:50,1313] equal(X,inner_pasch(Y,X,X,X,X)).
% 66414 [para:55329.1.2,1320.1.2] between(X,X,Y).
% 112922 [para:54375.1.2,1319.1.2] between(w1,v1,u1).
% 113664 [hyper:49,112922,15771,63,63,cut:1074,cut:63] equal(w1,v1) | equidistant(v1,X,u1,X).
% 118044 [hyper:45,113664,14637,cut:84] equal(w1,v1).
% 118046 [hyper:76,118044] equal(v1,reflection(w1,v1)).
% 118047 [para:118044.1.2,80.1.4] equidistant(u,v,u1,w1).
% 118110 [para:118044.1.2,15777.1.4,demod:18343] equidistant(X,X,v1,w1).
% 130508 [hyper:49,118110,14688,1074,15771,demod:118046,cut:14630,cut:66414,cut:84] equal(w,u).
% 138634 [para:130508.1.2,82.1.1] between(w,v,w).
% 139340 [hyper:50,138634] equal(w,v).
% 139819 [para:139340.1.2,118047.1.2,cut:84] 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: 358
% derived clauses: 487325
% kept clauses: 2183
% kept size sum: 20877
% kept mid-nuclei: 137404
% kept new demods: 77
% forw unit-subs: 221559
% forw double-subs: 21565
% forw overdouble-subs: 209
% backward subs: 75
% fast unit cutoff: 33445
% full unit cutoff: 0
% dbl unit cutoff: 104
% real runtime : 11.22
% process. runtime: 11.22
% specific non-discr-tree subsumption statistics:
% tried: 19092
% length fails: 66
% strength fails: 4757
% predlist fails: 2161
% aux str. fails: 3276
% by-lit fails: 3007
% full subs tried: 5721
% full subs fail: 5616
%
% ; 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/GEO025-3+eq_r.in")
%
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