TSTP Solution File: FLD050-4 by Gandalf---c-2.6
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- Process Solution
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% File : Gandalf---c-2.6
% Problem : FLD050-4 : 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 : art01.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/FLD050-4+noeq.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
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% detected problem class: nne
% detected subclass: medium
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% 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)
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%
% ********* EMPTY CLAUSE DERIVED *********
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%
% timer checkpoints: c(38,40,1,76,0,1)
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%
% START OF PROOF
% 44 [] -product(Y,U,V) | -product(Z,U,W) | -product(X,Y,Z) | product(X,V,W).
% 45 [] -product(Y,U,V) | -product(X,V,W) | -product(X,Y,Z) | product(Z,U,W).
% 46 [] product(multiplicative_identity,X,X) | -defined(X).
% 47 [] product(multiplicative_inverse(X),X,multiplicative_identity) | sum(additive_identity,X,additive_identity) | -defined(X).
% 48 [] -product(X,Y,Z) | product(Y,X,Z).
% 66 [] defined(b).
% 67 [] defined(c).
% 68 [] defined(d).
% 70 [] defined(s).
% 71 [] -sum(additive_identity,b,additive_identity).
% 72 [] -sum(additive_identity,d,additive_identity).
% 73 [] product(a,multiplicative_inverse(b),s).
% 74 [] product(a,d,k).
% 75 [] product(b,c,k).
% 76 [] -product(c,multiplicative_inverse(d),s).
% 101 [hyper:47,66,cut:71] product(multiplicative_inverse(b),b,multiplicative_identity).
% 130 [hyper:46,67] product(multiplicative_identity,c,c).
% 170 [hyper:47,68,cut:72] product(multiplicative_inverse(d),d,multiplicative_identity).
% 274 [hyper:46,70] product(multiplicative_identity,s,s).
% 702 [hyper:48,73] product(multiplicative_inverse(b),a,s).
% 7256 [hyper:48,274] product(s,multiplicative_identity,s).
% 12526 [hyper:44,101,75,130] product(multiplicative_inverse(b),k,c).
% 17024 [hyper:48,170] product(d,multiplicative_inverse(d),multiplicative_identity).
% 18012 [hyper:45,12526,702,74] product(s,d,c).
% 18913 [hyper:45,17024,18012,7256,cut:76] contradiction
% END OF PROOF
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% Proof found by the following strategy:
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% 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
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%
% ***GANDALF_FOUND_A_REFUTATION***
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% Global statistics over all passes:
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% given clauses: 263
% derived clauses: 61216
% kept clauses: 11790
% kept size sum: 151315
% kept mid-nuclei: 7018
% kept new demods: 0
% forw unit-subs: 1988
% forw double-subs: 32178
% forw overdouble-subs: 883
% backward subs: 0
% fast unit cutoff: 29
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 1.11
% process. runtime: 1.9
% specific non-discr-tree subsumption statistics:
% tried: 6104
% length fails: 6
% strength fails: 1734
% predlist fails: 2583
% aux str. fails: 299
% by-lit fails: 0
% full subs tried: 599
% full subs fail: 599
%
% ; 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/FLD050-4+noeq.in")
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