TSTP Solution File: LCL258-3 by Gandalf---c-2.6
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% File : Gandalf---c-2.6
% Problem : LCL258-3 : 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 : 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/LCL/LCL258-3+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
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% detected problem class: heq
% detected subclass: small
% detected subclass: short
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% 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)
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%
% **** EMPTY CLAUSE DERIVED ****
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%
% timer checkpoints: c(10,40,1,20,0,1)
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%
% START OF PROOF
% 12 [] axiom(implies(or(X,X),X)).
% 13 [] axiom(implies(X,or(Y,X))).
% 15 [] axiom(implies(or(X,or(Y,Z)),or(Y,or(X,Z)))).
% 16 [] axiom(implies(implies(X,Y),implies(or(Z,X),or(Z,Y)))).
% 17 [] equal(implies(X,Y),or(not(X),Y)).
% 18 [] -axiom(X) | theorem(X).
% 19 [] -theorem(implies(X,Y)) | -theorem(X) | theorem(Y).
% 20 [] -theorem(implies(p,implies(implies(p,q),q))).
% 22 [binary:18,12] theorem(implies(or(X,X),X)).
% 23 [binary:18,13] theorem(implies(X,or(Y,X))).
% 32 [binary:18,15] theorem(implies(or(X,or(Y,Z)),or(Y,or(X,Z)))).
% 37 [binary:22,19.2] -theorem(implies(implies(or(X,X),X),Y)) | theorem(Y).
% 38 [binary:20,19.3] -theorem(implies(X,implies(p,implies(implies(p,q),q)))) | -theorem(X).
% 40 [binary:23,19.2] -theorem(implies(implies(X,or(Y,X)),Z)) | theorem(Z).
% 49 [binary:18,16] theorem(implies(implies(X,Y),implies(or(Z,X),or(Z,Y)))).
% 152 [para:17.1.2,32.1.1.1,demod:17] theorem(implies(implies(X,or(Y,Z)),or(Y,implies(X,Z)))).
% 417 [binary:37,49] theorem(implies(or(X,or(Y,Y)),or(X,Y))).
% 1630 [para:17.1.2,417.1.1.1,demod:17] theorem(implies(implies(X,or(Y,Y)),implies(X,Y))).
% 1795 [binary:40,1630] theorem(implies(X,X)).
% 1804 [binary:38.2,1795] -theorem(implies(implies(X,X),implies(p,implies(implies(p,q),q)))).
% 3448 [para:17.1.2,152.1.1.1.2,demod:17,slowcut:1804] contradiction
% END OF PROOF
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% Proof found by the following strategy:
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% using binary resolution
% not using sos strategy
% using unit paramodulation strategy
% using unit strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% using clause demodulation
% seconds given: 30
%
%
% ***GANDALF_FOUND_A_REFUTATION***
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% Global statistics over all passes:
%
% given clauses: 324
% derived clauses: 7097
% kept clauses: 3389
% kept size sum: 49294
% kept mid-nuclei: 0
% kept new demods: 1
% forw unit-subs: 3552
% forw double-subs: 6
% forw overdouble-subs: 0
% backward subs: 0
% fast unit cutoff: 0
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 0.60
% process. runtime: 0.59
% 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/LCL258-3+eq_r.in")
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