%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : ALG002-1 : 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 : art06.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/ALG/ALG002-1+noeq.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: nne
% detected subclass: medium
%
% strategies selected:
% (hyper 27 #f 2 7)
% (binary-unit 10 #f 2 7)
% (binary-double 16 #f 2 7)
% (binary 54 #t 2 7)
% (binary-order 27 #f 2 7)
% (binary-posweight-order 125 #f)
% (binary-order-sos 54 #t)
% (binary-unit-uniteq 27 #f)
% (binary-weightorder 54 #f)
% (binary-order 54 #f)
% (hyper-order 43 #f)
% (binary 109 #t)
%
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(14,40,1,28,0,1,762,50,8,776,0,8)
%
%
% START OF PROOF
% 763 [] product(X,multiplicative_identity,X).
% 764 [] -product(multiplicative_identity,multiplicative_identity,additive_identity).
% 765 [] product(additive_inverse(X),additive_inverse(Y),Z) | -product(X,Y,Z).
% 767 [] product(X,additive_inverse(Y),additive_inverse(Z)) | -product(X,Y,Z).
% 768 [] product(X,multiplicative_inverse(X),multiplicative_identity) | product(X,X,additive_identity).
% 769 [] -greater_than_0(additive_inverse(X)) | -greater_than_0(X).
% 770 [] -product(X,X,additive_identity) | -greater_than_0(X).
% 771 [] -product(X,Y,Z) | product(Y,X,Z).
% 772 [] greater_than_0(additive_inverse(X)) | product(X,X,additive_identity) | greater_than_0(X).
% 773 [] -product(X,X,additive_identity) | product(Y,Y,additive_identity) | -product(X,Z,Y).
% 774 [] -product(X,Y,Z) | -greater_than_0(Y) | -greater_than_0(X) | greater_than_0(Z).
% 775 [] greater_than_0(a).
% 776 [] -greater_than_0(multiplicative_inverse(a)).
% 781 [hyper:765,763] product(additive_inverse(X),additive_inverse(multiplicative_identity),X).
% 837 [hyper:770,768,775] product(a,multiplicative_inverse(a),multiplicative_identity).
% 851 [hyper:767,837] product(a,additive_inverse(multiplicative_inverse(a)),additive_inverse(multiplicative_identity)).
% 852 [hyper:771,837] product(multiplicative_inverse(a),a,multiplicative_identity).
% 877 [hyper:773,772,852,cut:764,cut:776] greater_than_0(additive_inverse(multiplicative_inverse(a))).
% 897 [hyper:774,772,772,781,cut:764,factor:cut:764] greater_than_0(multiplicative_identity).
% 1076 [hyper:774,851,cut:877,cut:775] greater_than_0(additive_inverse(multiplicative_identity)).
% 1078 [hyper:769,1076,cut:897] 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: 27
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 110
% derived clauses: 8470
% kept clauses: 134
% kept size sum: 1269
% kept mid-nuclei: 816
% kept new demods: 0
% forw unit-subs: 1113
% forw double-subs: 1450
% forw overdouble-subs: 400
% backward subs: 24
% fast unit cutoff: 357
% full unit cutoff: 23
% dbl unit cutoff: 1
% real runtime : 0.11
% process. runtime: 0.9
% specific non-discr-tree subsumption statistics:
% tried: 958
% length fails: 2
% strength fails: 11
% predlist fails: 62
% aux str. fails: 2
% by-lit fails: 1
% full subs tried: 879
% full subs fail: 479
%
% ; 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/ALG/ALG002-1+noeq.in")
%
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