%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP040-3 : 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 : art02.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
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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/GRP/GRP040-3+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 7)
% (binary-unit 9 #f 3 7)
% (binary-double 9 #f 3 7)
% (binary-double 15 #f)
% (binary-double 15 #t)
% (binary 50 #t 3 7)
% (binary-order 25 #f 3 7)
% (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(18,40,1,36,0,1)
%
%
% START OF PROOF
% 20 [] product(identity,X,X).
% 21 [] product(X,identity,X).
% 22 [] product(inverse(X),X,identity).
% 24 [] product(X,Y,multiply(X,Y)).
% 25 [] -product(X,Y,U) | -product(X,Y,Z) | equal(Z,U).
% 26 [] -product(U,Y,V) | -product(W,X,U) | -product(X,Y,Z) | product(W,Z,V).
% 27 [] -product(U,Z,V) | -product(U,X,W) | -product(X,Y,Z) | product(W,Y,V).
% 28 [] -product(X,inverse(Y),Z) | -subgroup_member(X) | -subgroup_member(Y) | subgroup_member(Z).
% 29 [] subgroup_member(element_in_^o2(X,Y)) | subgroup_member(Y) | subgroup_member(X).
% 30 [] product(X,element_in_^o2(X,Y),Y) | subgroup_member(Y) | subgroup_member(X).
% 31 [] -subgroup_member(a).
% 32 [] subgroup_member(b).
% 33 [] -subgroup_member(d).
% 34 [] product(b,inverse(a),c).
% 35 [] product(a,c,d).
% 36 [] equal(inverse(inverse(X)),X).
% 127 [hyper:26,22,20,35] product(inverse(a),d,c).
% 152 [hyper:27,22,34,21] product(c,a,b).
% 154 [hyper:28,22,32,demod:36,cut:32] subgroup_member(identity).
% 158 [hyper:28,154,20,32] subgroup_member(inverse(b)).
% 232 [hyper:26,152,20,22] product(inverse(c),b,a).
% 507 [hyper:25,232,24] equal(multiply(inverse(c),b),a).
% 1291 [hyper:31,29] subgroup_member(element_in_^o2(a,X)) | subgroup_member(X).
% 1535 [hyper:33,1291] subgroup_member(element_in_^o2(a,d)).
% 1622 [hyper:28,1535,20,cut:154] subgroup_member(inverse(element_in_^o2(a,d))).
% 1776 [hyper:27,30,127,22,cut:33,cut:31] product(identity,element_in_^o2(a,d),c).
% 4088 [hyper:25,1776,20] equal(element_in_^o2(a,d),c).
% 4427 [para:4088.1.1,1622.1.1.1] subgroup_member(inverse(c)).
% 4669 [hyper:28,4427,24,158,demod:507,36,cut:31] 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 7
% clause depth limited to 3
% seconds given: 25
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 82
% derived clauses: 13335
% kept clauses: 1139
% kept size sum: 13481
% kept mid-nuclei: 3428
% kept new demods: 24
% forw unit-subs: 5326
% forw double-subs: 896
% forw overdouble-subs: 607
% backward subs: 0
% fast unit cutoff: 238
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 0.20
% process. runtime: 0.19
% specific non-discr-tree subsumption statistics:
% tried: 9115
% length fails: 514
% strength fails: 3982
% predlist fails: 337
% aux str. fails: 420
% by-lit fails: 103
% full subs tried: 3591
% full subs fail: 2974
%
% ; 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/GRP/GRP040-3+eq_r.in")
%
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