TSTP Solution File: GRP039-4 by Gandalf---c-2.6
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% File : Gandalf---c-2.6
% Problem : GRP039-4 : 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 : art08.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 :
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%----NO SOLUTION OUTPUT BY SYSTEM
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%----ORIGINAL SYSTEM OUTPUT
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% Gandalf c-2.6 r1 starting to prove: /home/graph/tptp/TSTP/PreparedTPTP/otter:hypothesis:set(auto),clear(print_given)---add_equality:r/GRP/GRP039-4+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 7)
% (binary-unit 9 #f 2 7)
% (binary-double 9 #f 2 7)
% (binary-double 15 #f)
% (binary-double 15 #t)
% (binary 50 #t 2 7)
% (binary-order 25 #f 2 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 *********
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%
% timer checkpoints: c(18,40,1,36,0,1)
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%
% 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 [] subgroup_member(inverse(X)) | -subgroup_member(X).
% 29 [] -product(X,Y,Z) | -subgroup_member(X) | -subgroup_member(Y) | subgroup_member(Z).
% 30 [] subgroup_member(identity).
% 31 [] subgroup_member(element_in_^o2(X,Y)) | subgroup_member(Y) | subgroup_member(X).
% 32 [] product(X,element_in_^o2(X,Y),Y) | subgroup_member(Y) | subgroup_member(X).
% 33 [] subgroup_member(b).
% 34 [] product(b,inverse(a),c).
% 35 [] product(a,c,d).
% 36 [] -subgroup_member(d).
% 131 [hyper:26,22,20,35] product(inverse(a),d,c).
% 152 [hyper:27,22,34,21] product(c,a,b).
% 174 [hyper:26,152,20,22] product(inverse(c),b,a).
% 312 [hyper:25,24,35] equal(d,multiply(a,c)).
% 1652 [hyper:36,31] subgroup_member(element_in_^o2(X,d)) | subgroup_member(X).
% 1793 [hyper:28,1652] subgroup_member(element_in_^o2(X,d)) | subgroup_member(inverse(X)).
% 2044 [hyper:27,32,131,22,cut:36] product(identity,element_in_^o2(a,d),c) | subgroup_member(a).
% 2622 [hyper:29,1793,34,cut:33] subgroup_member(element_in_^o2(a,d)) | subgroup_member(c).
% 2686 [hyper:29,2622,24,31,factor:cut:36] subgroup_member(element_in_^o2(a,d)).
% 11948 [hyper:29,2044,cut:30,cut:2686] subgroup_member(a) | subgroup_member(c).
% 12459 [hyper:28,11948] subgroup_member(inverse(a)) | subgroup_member(c).
% 12737 [hyper:29,12459,34,cut:33] subgroup_member(c).
% 12792 [hyper:28,12737] subgroup_member(inverse(c)).
% 12934 [hyper:29,12792,174,cut:33] subgroup_member(a).
% 13010 [hyper:29,12934,24,12737,demod:312,cut:36] 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 2
% seconds given: 25
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 163
% derived clauses: 70066
% kept clauses: 2268
% kept size sum: 33753
% kept mid-nuclei: 9008
% kept new demods: 10
% forw unit-subs: 12892
% forw double-subs: 6369
% forw overdouble-subs: 4843
% backward subs: 75
% fast unit cutoff: 1899
% full unit cutoff: 4
% dbl unit cutoff: 2
% real runtime : 1.42
% process. runtime: 1.41
% specific non-discr-tree subsumption statistics:
% tried: 270511
% length fails: 17523
% strength fails: 117479
% predlist fails: 15777
% aux str. fails: 1200
% by-lit fails: 8
% full subs tried: 118420
% full subs fail: 113432
%
% ; 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/GRP039-4+eq_r.in")
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