%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP048-2 : 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
%------------------------------------------------------------------------------
%----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/GRP048-2+noeq.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: hne
% detected subclass: small
% detected subclass: long
%
% strategies selected:
% (hyper 57 #f 2 7)
% (binary-unit 28 #f 2 7)
% (binary-double 28 #f 2 7)
% (binary-posweight-order 28 #f 2 7)
% (binary-unit 62 #f)
% (hyper 159 #f)
% (binary-posweight-order 154 #f)
% (binary-weightorder 28 #f)
% (binary-order 28 #f)
% (binary 28 #t)
%
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(9,40,0,18,0,0,37841,50,156,37850,0,156)
%
%
% START OF PROOF
% 37842 [] product(identity,X,X).
% 37843 [] product(inverse(X),X,identity).
% 37845 [] -product(X,Y,U) | -product(X,Y,Z) | equalish(Z,U).
% 37846 [] -product(U,Y,V) | -product(W,X,U) | -product(X,Y,Z) | product(W,Z,V).
% 37847 [] -product(U,Z,V) | -product(U,X,W) | -product(X,Y,Z) | product(W,Y,V).
% 37848 [] -product(X,Y,Z) | product(X,Y,U) | -equalish(Z,U).
% 37849 [] equalish(a,b).
% 37850 [] -equalish(inverse(a),inverse(b)).
% 37864 [hyper:37848,37842,37849] product(identity,a,b).
% 37877 [hyper:37846,37864,37842,37842] product(identity,b,a).
% 37928 [hyper:37846,37843,37842,37843] product(inverse(inverse(X)),identity,X).
% 38581 [hyper:37847,37928,37928,37842] product(X,identity,X).
% 38588 [hyper:37847,37928,37843,37842] product(X,inverse(X),identity).
% 38667 [hyper:37846,38581,37877,37843] product(inverse(b),a,identity).
% 39810 [hyper:37846,38667,38588,37842] product(inverse(b),identity,inverse(a)).
% 56970 [hyper:37845,39810,38581,cut:37850] 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: 57
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 279
% derived clauses: 316216
% kept clauses: 3810
% kept size sum: 35920
% kept mid-nuclei: 53124
% kept new demods: 0
% forw unit-subs: 143069
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 44
% fast unit cutoff: 1
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 2.36
% process. runtime: 2.37
% specific non-discr-tree subsumption statistics:
% tried: 928
% length fails: 0
% strength fails: 42
% predlist fails: 56
% aux str. fails: 426
% by-lit fails: 0
% full subs tried: 404
% full subs fail: 404
%
% ; 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/GRP048-2+noeq.in")
%
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