TSTP Solution File: FLD010-5 by Gandalf---c-2.6
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% File : Gandalf---c-2.6
% Problem : FLD010-5 : TPTP v3.4.2. Bugfixed v2.1.0.
% 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 :
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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/FLD/FLD010-5+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 9)
% (binary-unit 10 #f 2 9)
% (binary-double 16 #f 2 9)
% (binary 54 #t 2 9)
% (binary-order 27 #f 2 9)
% (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 *********
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%
% timer checkpoints: c(28,40,0,56,0,0)
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%
% START OF PROOF
% 29 [] -sum(Y,U,V) | -sum(Z,U,W) | -sum(X,Y,Z) | sum(X,V,W).
% 31 [] sum(additive_identity,X,X) | -defined(X).
% 32 [] sum(additive_inverse(X),X,additive_identity) | -defined(X).
% 33 [] -sum(X,Y,Z) | sum(Y,X,Z).
% 34 [] -product(Y,U,V) | -product(Z,U,W) | -product(X,Y,Z) | product(X,V,W).
% 36 [] product(multiplicative_identity,X,X) | -defined(X).
% 37 [] product(multiplicative_inverse(X),X,multiplicative_identity) | sum(additive_identity,X,additive_identity) | -defined(X).
% 38 [] -product(X,Y,Z) | product(Y,X,Z).
% 39 [] -product(U,Y,V) | -product(W,Y,X1) | -product(X,Y,Z) | -sum(U,W,X) | sum(V,X1,Z).
% 40 [] -product(X,Y,Z) | -product(U,Y,V) | -sum(V,Z,W) | -sum(U,X,X1) | product(X1,Y,W).
% 42 [] defined(additive_identity).
% 43 [] defined(additive_inverse(X)) | -defined(X).
% 45 [] defined(multiplicative_identity).
% 46 [] defined(multiplicative_inverse(X)) | sum(additive_identity,X,additive_identity) | -defined(X).
% 55 [] -sum(additive_identity,multiplicative_identity,additive_identity).
% 56 [] -sum(additive_identity,multiplicative_inverse(multiplicative_identity),multiplicative_identity).
% 57 [hyper:31,42] sum(additive_identity,additive_identity,additive_identity).
% 58 [hyper:32,42] sum(additive_inverse(additive_identity),additive_identity,additive_identity).
% 59 [hyper:36,42] product(multiplicative_identity,additive_identity,additive_identity).
% 63 [hyper:43,42] defined(additive_inverse(additive_identity)).
% 76 [hyper:31,45] sum(additive_identity,multiplicative_identity,multiplicative_identity).
% 78 [hyper:36,45] product(multiplicative_identity,multiplicative_identity,multiplicative_identity).
% 79 [hyper:37,45,cut:55] product(multiplicative_inverse(multiplicative_identity),multiplicative_identity,multiplicative_identity).
% 91 [hyper:46,45,cut:55] defined(multiplicative_inverse(multiplicative_identity)).
% 106 [hyper:31,63] sum(additive_identity,additive_inverse(additive_identity),additive_inverse(additive_identity)).
% 122 [hyper:36,91] product(multiplicative_identity,multiplicative_inverse(multiplicative_identity),multiplicative_inverse(multiplicative_identity)).
% 269 [hyper:38,59] product(additive_identity,multiplicative_identity,additive_identity).
% 449 [hyper:29,58,76,76] sum(additive_inverse(additive_identity),multiplicative_identity,multiplicative_identity).
% 453 [hyper:33,58] sum(additive_identity,additive_inverse(additive_identity),additive_identity).
% 518 [hyper:38,79] product(multiplicative_identity,multiplicative_inverse(multiplicative_identity),multiplicative_identity).
% 807 [hyper:29,106,453,57] sum(additive_identity,additive_identity,additive_inverse(additive_identity)).
% 970 [hyper:40,807,269,57,cut:269] product(additive_inverse(additive_identity),multiplicative_identity,additive_identity).
% 2410 [hyper:34,122,518,78] product(multiplicative_identity,multiplicative_identity,multiplicative_inverse(multiplicative_identity)).
% 2709 [hyper:39,2410,449,970,78,cut:56] 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 9
% clause depth limited to 2
% seconds given: 27
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
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% given clauses: 63
% derived clauses: 4434
% kept clauses: 184
% kept size sum: 1537
% kept mid-nuclei: 2456
% kept new demods: 0
% forw unit-subs: 1125
% forw double-subs: 122
% forw overdouble-subs: 0
% backward subs: 0
% fast unit cutoff: 14
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 0.6
% process. runtime: 0.7
% specific non-discr-tree subsumption statistics:
% tried: 1510
% length fails: 0
% strength fails: 321
% predlist fails: 971
% aux str. fails: 196
% by-lit fails: 0
% full subs tried: 22
% full subs fail: 22
%
% ; 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/FLD/FLD010-5+noeq.in")
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