TSTP Solution File: LCL194-3 by Gandalf---c-2.6
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% File : Gandalf---c-2.6
% Problem : LCL194-3 : TPTP v3.4.2. Released v2.3.0.
% Transfm : add_equality:r
% Format : otter:hypothesis:set(auto),clear(print_given)
% Command : gandalf-wrapper -time %d %s
% Computer : art04.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 :
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%----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/LCL194-3+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: heq
% detected subclass: small
% detected subclass: short
%
% strategies selected:
% (binary-unit-uniteq 30 #f)
% (binary-posweight-order 120 #f 4 5)
% (binary-posweight-order 240 #f)
% (binary-posweight-lex-big-order 60 #f)
% (binary-posweight-lex-small-order 12 #f)
% (binary-weightorder 24 #f)
% (hyper 30 #f)
% (binary 24 #t)
% (binary-order 30 #f)
% (binary-unit 30 #f)
%
%
% **** EMPTY CLAUSE DERIVED ****
%
%
% timer checkpoints: c(10,40,0,20,0,0,11889,3,1501,14835,4,2253,18003,5,3001,18004,5,3001,18004,1,3001,18004,50,3003,18004,40,3003,18014,0,3003)
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%
% START OF PROOF
% 18008 [] axiom(implies(or(X,Y),or(Y,X))).
% 18009 [] axiom(implies(or(X,or(Y,Z)),or(Y,or(X,Z)))).
% 18010 [] axiom(implies(implies(X,Y),implies(or(Z,X),or(Z,Y)))).
% 18011 [] equal(implies(X,Y),or(not(X),Y)).
% 18012 [] -axiom(X) | theorem(X).
% 18013 [] -theorem(implies(X,Y)) | -theorem(X) | theorem(Y).
% 18014 [] -theorem(implies(implies(q,r),implies(or(q,p),or(p,r)))).
% 18018 [binary:18012,18008] theorem(implies(or(X,Y),or(Y,X))).
% 18025 [binary:18012,18009] theorem(implies(or(X,or(Y,Z)),or(Y,or(X,Z)))).
% 18048 [binary:18012,18010] theorem(implies(implies(X,Y),implies(or(Z,X),or(Z,Y)))).
% 18060 [para:18011.1.2,18025.1.1.1,demod:18011] theorem(implies(implies(X,or(Y,Z)),or(Y,implies(X,Z)))).
% 18083 [para:18011.1.2,18048.1.1.2.1,demod:18011] theorem(implies(implies(X,Y),implies(implies(Z,X),implies(Z,Y)))).
% 18089 [para:18011.1.2,18060.1.1.1.2,demod:18011] theorem(implies(implies(X,implies(Y,Z)),implies(Y,implies(X,Z)))).
% 18120 [binary:18013,18089] -theorem(implies(X,implies(Y,Z))) | theorem(implies(Y,implies(X,Z))).
% 18239 [binary:18048,18120] theorem(implies(or(X,Y),implies(implies(Y,Z),or(X,Z)))).
% 18240 [binary:18083,18120] theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))).
% 18555 [binary:18013,18240] theorem(implies(implies(X,Y),implies(Z,Y))) | -theorem(implies(Z,X)).
% 19248 [binary:18018,18555.2] theorem(implies(implies(or(X,Y),Z),implies(or(Y,X),Z))).
% 20099 [binary:18013,19248] -theorem(implies(or(X,Y),Z)) | theorem(implies(or(Y,X),Z)).
% 20504 [binary:18239,20099] theorem(implies(or(X,Y),implies(implies(X,Z),or(Y,Z)))).
% 20734 [binary:18120,20504,slowcut:18014] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% using first neg lit preferred strategy
% not using sos 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 4
% seconds given: 120
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 2360
% derived clauses: 147799
% kept clauses: 16943
% kept size sum: 252262
% kept mid-nuclei: 3146
% kept new demods: 2
% forw unit-subs: 53554
% forw double-subs: 990
% forw overdouble-subs: 0
% backward subs: 6
% fast unit cutoff: 0
% full unit cutoff: 30
% dbl unit cutoff: 0
% real runtime : 31.53
% process. runtime: 31.51
% specific non-discr-tree subsumption statistics:
% tried: 0
% length fails: 0
% strength fails: 0
% predlist fails: 0
% aux str. fails: 0
% by-lit fails: 0
% full subs tried: 0
% full subs fail: 0
%
% ; 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/LCL194-3+eq_r.in")
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