%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : BOO012-1 : 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 : 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 248.1s
% Output : Assurance 248.1s
% 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/BOO/BOO012-1+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: heq
% detected subclass: medium
% detected subclass: long
%
% strategies selected:
% (hyper 58 #f 3 9)
% (binary-posweight-order 29 #f 3 9)
% (binary-unit 29 #f 3 9)
% (binary-double 29 #f 3 9)
% (binary 29 #t 3 9)
% (hyper 29 #t)
% (hyper 105 #f)
% (binary-unit-uniteq 17 #f)
% (binary-weightorder 23 #f)
% (binary-posweight-order 70 #f)
% (binary-posweight-lex-big-order 29 #f)
% (binary-posweight-lex-small-order 11 #f)
% (binary-order 29 #f)
% (binary-unit 46 #f)
% (binary 67 #t)
%
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(24,40,0,48,0,0,720842,4,4541,813622,5,5801,813623,1,5801,813623,50,5801,813623,40,5801,813647,0,5801,836800,3,7252,844679,4,7978,854963,5,8702,854964,5,8703,854964,1,8703,854964,50,8705,854964,40,8705,854988,0,8705,898918,3,10156,904561,4,10881,984024,5,11606,984026,5,11607,984026,1,11607,984026,50,11609,984026,40,11609,984050,0,11609,1041557,3,13070,1052962,4,13840,1072434,5,14510,1072435,5,14511,1072435,1,14511,1072435,50,14513,1072435,40,14513,1072459,0,14513,1103198,3,16020,1105154,4,16689,1111851,5,17414,1111853,5,17415,1111853,1,17415,1111853,50,17415,1111853,40,17415,1111877,0,17415,1111877,50,17415,1111877,40,17415,1111901,0,17415,1858046,4,25567)
%
%
% START OF PROOF
% 1111879 [] sum(X,Y,add(X,Y)).
% 1111883 [] sum(additive_identity,X,X).
% 1111884 [] sum(X,additive_identity,X).
% 1111891 [] -product(X,Y,Z) | -sum(U,Z,X1) | -sum(U,X,W) | -sum(U,Y,V) | product(W,V,X1).
% 1111893 [] -product(X,Y,Z) | -sum(Z,U,X1) | -sum(X,U,W) | -sum(Y,U,V) | product(W,V,X1).
% 1111896 [] sum(X,inverse(X),multiplicative_identity).
% 1111897 [] product(inverse(X),X,additive_identity).
% 1111898 [] product(X,inverse(X),additive_identity).
% 1111899 [] -sum(X,Y,U) | -sum(X,Y,Z) | equal(Z,U).
% 1111900 [] -product(X,Y,U) | -product(X,Y,Z) | equal(Z,U).
% 1111901 [] -equal(inverse(inverse(x)),x).
% 1113045 [hyper:1111891,1111879,1111897,1111884,1111896] product(add(X,inverse(inverse(X))),multiplicative_identity,X).
% 1113321 [hyper:1111899,1111879,1111883] equal(X,add(additive_identity,X)).
% 1113690 [hyper:1111893,1111898,1111896,1111879,1111879,demod:1113321] product(add(X,inverse(inverse(X))),multiplicative_identity,inverse(inverse(X))).
% 1858047 [binary:1111900.3,1111901] -product(X,Y,inverse(inverse(x))) | -product(X,Y,x).
% 1858348 [binary:1113690,1858047,cut:1113045] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% not using sos strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% seconds given: 105
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 7725
% derived clauses: 13108537
% kept clauses: 147939
% kept size sum: 57784
% kept mid-nuclei: 1661753
% kept new demods: 210
% forw unit-subs: 10145606
% forw double-subs: 234552
% forw overdouble-subs: 133310
% backward subs: 610
% fast unit cutoff: 23170
% full unit cutoff: 15406
% dbl unit cutoff: 301
% real runtime : 257.83
% process. runtime: 255.72
% specific non-discr-tree subsumption statistics:
% tried: 58622430
% length fails: 2304866
% strength fails: 22584403
% predlist fails: 17823278
% aux str. fails: 2289879
% by-lit fails: 541863
% full subs tried: 12714453
% full subs fail: 12561778
%
% ; 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/BOO/BOO012-1+eq_r.in")
%
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