TSTP Solution File: LCL109-3 by Gandalf---c-2.6
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% File : Gandalf---c-2.6
% Problem : LCL109-3 : 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 20.0s
% Output : Assurance 20.0s
% 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/LCL109-3+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: peq
%
% strategies selected:
% (hyper 30 #f 4 3)
% (binary-unit 12 #f)
% (binary-unit-uniteq 12 #f)
% (binary-posweight-kb-big-order 60 #f 4 3)
% (binary-posweight-lex-big-order 30 #f 4 3)
% (binary 30 #t)
% (binary-posweight-kb-big-order 156 #f)
% (binary-posweight-lex-big-order 102 #f)
% (binary-posweight-firstpref-order 60 #f)
% (binary-order 30 #f)
% (binary-posweight-kb-small-order 48 #f)
% (binary-posweight-lex-small-order 30 #f)
%
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(16,40,0,32,0,0,725,4,2253)
%
%
% START OF PROOF
% 17 [] equal(X,X).
% 18 [] equal(implies(truth,X),X).
% 20 [] equal(implies(implies(X,Y),Y),implies(implies(Y,X),X)).
% 22 [] equal(implies(X,X),truth).
% 24 [] equal(implies(X,truth),truth).
% 25 [] equal(implies(X,implies(Y,X)),truth).
% 28 [] equal(implies(X,implies(Y,Z)),implies(Y,implies(X,Z))).
% 31 [] equal(implies(not(X),not(Y)),implies(Y,X)).
% 32 [] -equal(implies(implies(implies(a,b),implies(b,a)),implies(b,a)),truth).
% 46 [para:31.1.1,20.1.1.1,demod:31] equal(implies(implies(X,Y),not(X)),implies(implies(Y,X),not(Y))).
% 53 [para:20.1.1,20.1.1.1,demod:18,25] equal(implies(implies(implies(X,Y),Y),X),implies(Y,X)).
% 56 [para:31.1.1,28.1.1.2] equal(implies(X,implies(Y,Z)),implies(not(Z),implies(X,not(Y)))).
% 65 [para:20.1.1,28.1.1.2] equal(implies(X,implies(implies(Y,Z),Z)),implies(implies(Z,Y),implies(X,Y))).
% 74 [para:53.1.1,28.1.1.2] equal(implies(X,implies(Y,Z)),implies(implies(implies(Z,Y),Y),implies(X,Z))).
% 110 [para:46.1.1,56.1.2.2,demod:56] equal(implies(implies(X,Y),implies(X,Z)),implies(implies(Y,X),implies(Y,Z))).
% 176 [para:65.1.1,28.1.1] equal(implies(implies(X,Y),implies(Z,Y)),implies(implies(Y,X),implies(Z,X))).
% 241 [para:110.1.1,74.1.2,demod:18,25] equal(implies(implies(X,Y),implies(Y,X)),implies(Y,X)).
% 324 [para:241.1.1,176.1.1.2] equal(implies(implies(X,implies(Y,Z)),implies(Y,Z)),implies(implies(implies(Y,Z),X),implies(implies(Z,Y),X))).
% 698 [para:110.1.1,324.1.2.2] equal(implies(implies(implies(X,Y),implies(Z,X)),implies(Z,X)),implies(implies(implies(Z,X),implies(X,Y)),implies(implies(Z,X),implies(Z,Y)))).
% 726 [para:698.1.1,32.1.1,demod:24,22,241,cut:17] 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
% clause length limited to 3
% clause depth limited to 4
% seconds given: 30
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 409
% derived clauses: 985064
% kept clauses: 691
% kept size sum: 14542
% kept mid-nuclei: 0
% kept new demods: 231
% forw unit-subs: 166331
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 7
% fast unit cutoff: 1
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 22.55
% process. runtime: 22.53
% 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/LCL109-3+eq_r.in")
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