TSTP Solution File: LCL031-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : LCL031-1 : 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 : art03.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 30.0s
% Output : Assurance 30.0s
% 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/LCL/LCL031-1+noeq.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: hne
% detected subclass: small
% detected subclass: short
%
% strategies selected:
% (hyper 29 #f 6 5)
% (binary-unit 11 #f 6 5)
% (binary-double 17 #f 6 5)
% (hyper 29 #f)
% (binary-unit 34 #f)
% (binary-weightorder 40 #f)
% (binary 17 #t)
% (binary-order 29 #f)
% (binary-posweight-order 111 #f 6 5)
% (binary-posweight-order 283 #f)
%
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(6,40,1,12,0,1,23426,4,2191,23426,50,2197,23426,40,2197,23432,0,2197,34969,3,2749,39347,4,3023,39646,5,3298,39647,5,3298,39647,1,3298,39647,50,3300,39647,40,3300,39653,0,3300)
%
%
% START OF PROOF
% 4150 [?] ?
% 39648 [] -is_a_theorem(implies(X,Y)) | -is_a_theorem(X) | is_a_theorem(Y).
% 39649 [] is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))).
% 39650 [] is_a_theorem(implies(X,implies(Y,X))).
% 39653 [] -is_a_theorem(implies(implies(implies(implies(implies(a,b),implies(c,falsehood)),e),falsehood),implies(implies(falsehood,a),implies(c,a)))).
% 39659 [binary:39650,39648.2] -is_a_theorem(implies(implies(X,implies(Y,X)),Z)) | is_a_theorem(Z).
% 39692 [binary:39648,39649] is_a_theorem(implies(implies(X,Y),implies(Z,Y))) | -is_a_theorem(implies(Z,X)).
% 40831 [binary:39659,39692] is_a_theorem(implies(X,implies(Y,Z))) | -is_a_theorem(implies(X,Z)).
% 42851 [binary:39653,40831,cut:4150] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% not using sos strategy
% using double strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% using clause demodulation
% clause length limited to 5
% clause depth limited to 6
% seconds given: 17
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 1902
% derived clauses: 930063
% kept clauses: 39604
% kept size sum: 750416
% kept mid-nuclei: 2897
% kept new demods: 0
% forw unit-subs: 471499
% forw double-subs: 954
% forw overdouble-subs: 89
% backward subs: 35
% fast unit cutoff: 1
% full unit cutoff: 72
% dbl unit cutoff: 0
% real runtime : 33.38
% process. runtime: 33.37
% specific non-discr-tree subsumption statistics:
% tried: 1637
% length fails: 58
% strength fails: 209
% predlist fails: 569
% aux str. fails: 45
% by-lit fails: 7
% full subs tried: 714
% full subs fail: 625
%
% ; 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/LCL/LCL031-1+noeq.in")
%
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