TSTP Solution File: LCL326-3 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : LCL326-3 : 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 :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----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/LCL326-3+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: heq
% detected subclass: medium
% detected subclass: short
%
% strategies selected:
% (binary-posweight-order 57 #f 4 5)
% (binary-unit 28 #f 4 5)
% (binary-double 28 #f 4 5)
% (binary 45 #t 4 5)
% (hyper 11 #t 4 5)
% (hyper 28 #f)
% (binary-unit-uniteq 16 #f)
% (binary-weightorder 22 #f)
% (binary-posweight-order 159 #f)
% (binary-posweight-lex-big-order 57 #f)
% (binary-posweight-lex-small-order 11 #f)
% (binary-order 28 #f)
% (binary-unit 45 #f)
% (binary 65 #t)
%
%
% **** EMPTY CLAUSE DERIVED ****
%
%
% timer checkpoints: c(12,40,0,24,0,0)
%
%
% START OF PROOF
% 14 [] axiom(implies(or(X,X),X)).
% 15 [] axiom(implies(X,or(Y,X))).
% 16 [] axiom(implies(or(X,Y),or(Y,X))).
% 17 [] axiom(implies(or(X,or(Y,Z)),or(Y,or(X,Z)))).
% 18 [] axiom(implies(implies(X,Y),implies(or(Z,X),or(Z,Y)))).
% 19 [] equal(implies(X,Y),or(not(X),Y)).
% 20 [] -axiom(X) | theorem(X).
% 21 [] -theorem(implies(X,Y)) | -theorem(X) | theorem(Y).
% 22 [] equal(and(X,Y),not(implies(X,not(Y)))).
% 23 [] equal(equivalent(X,Y),and(implies(X,Y),implies(Y,X))).
% 24 [] -theorem(not(equivalent(p,not(p)))).
% 26 [binary:20,14] theorem(implies(or(X,X),X)).
% 27 [binary:20,15] theorem(implies(X,or(Y,X))).
% 28 [binary:20,16] theorem(implies(or(X,Y),or(Y,X))).
% 32 [para:19.1.2,27.1.1.2] theorem(implies(X,implies(Y,X))).
% 35 [binary:20,17] theorem(implies(or(X,or(Y,Z)),or(Y,or(X,Z)))).
% 40 [binary:27,21] theorem(or(X,Y)) | -theorem(Y).
% 41 [binary:32,21] theorem(implies(X,Y)) | -theorem(Y).
% 49 [binary:26,41.2] theorem(implies(X,implies(or(Y,Y),Y))).
% 52 [para:19.1.2,28.1.1.1] theorem(implies(implies(X,Y),or(Y,not(X)))).
% 54 [binary:21,28] -theorem(or(X,Y)) | theorem(or(Y,X)).
% 58 [binary:20,18] theorem(implies(implies(X,Y),implies(or(Z,X),or(Z,Y)))).
% 66 [para:22.1.2,19.1.2.1] equal(implies(implies(X,not(Y)),Z),or(and(X,Y),Z)).
% 67 [para:22.1.2,22.1.2.1.2] equal(and(X,implies(Y,not(Z))),not(implies(X,and(Y,Z)))).
% 68 [para:19.1.2,49.1.1.2.1,demod:66] theorem(implies(X,or(and(Y,Y),not(Y)))).
% 70 [para:19.1.2,54.1.1] theorem(or(X,not(Y))) | -theorem(implies(Y,X)).
% 73 [para:19.1.2,52.1.1.2,demod:66] theorem(or(and(X,Y),implies(Y,not(X)))).
% 76 [binary:21,68,slowcut:73] theorem(or(and(X,X),not(X))).
% 77 [para:19.1.2,35.1.1.1,demod:19] theorem(implies(implies(X,or(Y,Z)),or(Y,implies(X,Z)))).
% 78 [para:19.1.2,35.1.1.1.2,demod:19] theorem(implies(or(X,implies(Y,Z)),implies(Y,or(X,Z)))).
% 79 [binary:21,35] -theorem(or(X,or(Y,Z))) | theorem(or(Y,or(X,Z))).
% 83 [binary:54,76,demod:19] theorem(implies(X,and(X,X))).
% 123 [binary:27,70.2] theorem(or(or(X,Y),not(Y))).
% 127 [binary:40.2,123] theorem(or(X,or(or(Y,Z),not(Z)))).
% 142 [para:19.1.2,58.1.1.2.1,demod:19] theorem(implies(implies(X,Y),implies(implies(Z,X),implies(Z,Y)))).
% 143 [binary:21,58] theorem(implies(or(X,Y),or(X,Z))) | -theorem(implies(Y,Z)).
% 147 [para:66.1.1,21.1.1] -theorem(or(and(X,Y),Z)) | -theorem(implies(X,not(Y))) | theorem(Z).
% 164 [para:19.1.2,77.1.1.1.2,demod:19] theorem(implies(implies(X,implies(Y,Z)),implies(Y,implies(X,Z)))).
% 165 [binary:21,77] -theorem(implies(X,or(Y,Z))) | theorem(or(Y,implies(X,Z))).
% 167 [binary:21,78] -theorem(or(X,implies(Y,Z))) | theorem(implies(Y,or(X,Z))).
% 172 [binary:127,79] theorem(or(or(X,Y),or(Z,not(Y)))).
% 178 [binary:54,172] theorem(or(or(X,not(Y)),or(Z,Y))).
% 201 [binary:21,142] theorem(implies(implies(X,Y),implies(X,Z))) | -theorem(implies(Y,Z)).
% 207 [binary:26,143.2] theorem(implies(or(X,or(Y,Y)),or(X,Y))).
% 211 [binary:83,143.2] theorem(implies(or(X,Y),or(X,and(Y,Y)))).
% 214 [binary:21,207] -theorem(or(X,or(Y,Y))) | theorem(or(X,Y)).
% 221 [para:19.1.2,211.1.1.1,demod:19] theorem(implies(implies(X,Y),implies(X,and(Y,Y)))).
% 222 [binary:21,211] theorem(or(X,and(Y,Y))) | -theorem(or(X,Y)).
% 227 [binary:178,214] theorem(or(or(X,not(Y)),Y)).
% 230 [binary:54,227] theorem(or(X,or(Y,not(X)))).
% 235 [binary:214,230] theorem(or(X,not(X))).
% 307 [para:23.1.2,147.1.1.1] -theorem(implies(implies(X,Y),not(implies(Y,X)))) | -theorem(or(equivalent(X,Y),Z)) | theorem(Z).
% 336 [binary:21,164] -theorem(implies(X,implies(Y,Z))) | theorem(implies(Y,implies(X,Z))).
% 345 [binary:21,221] theorem(implies(X,and(Y,Y))) | -theorem(implies(X,Y)).
% 366 [binary:28,165] theorem(or(X,implies(or(Y,X),Y))).
% 377 [binary:54,366] theorem(or(implies(or(X,Y),X),Y)).
% 387 [binary:222.2,377] theorem(or(implies(or(X,Y),X),and(Y,Y))).
% 663 [binary:26,345.2] theorem(implies(or(X,X),and(X,X))).
% 687 [binary:201.2,663] theorem(implies(implies(X,or(Y,Y)),implies(X,and(Y,Y)))).
% 733 [binary:54,387] theorem(or(and(X,X),implies(or(Y,X),Y))).
% 753 [para:22.1.2,307.1.1.2] -theorem(implies(implies(not(X),Y),and(Y,X))) | -theorem(or(equivalent(not(X),Y),Z)) | theorem(Z).
% 794 [binary:58,336] theorem(implies(or(X,Y),implies(implies(Y,Z),or(X,Z)))).
% 795 [binary:142,336] theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))).
% 909 [binary:167,733] theorem(implies(or(X,Y),or(and(Y,Y),X))).
% 1001 [binary:21,909] theorem(or(and(X,X),Y)) | -theorem(or(Y,X)).
% 1079 [binary:73,1001.2,demod:19,66,67] theorem(implies(or(and(X,Y),and(X,Y)),and(Y,X))).
% 1767 [binary:21,687] -theorem(implies(X,or(Y,Y))) | theorem(implies(X,and(Y,Y))).
% 2341 [binary:21,794] theorem(implies(implies(X,Y),or(Z,Y))) | -theorem(or(Z,X)).
% 2361 [binary:21,795] theorem(implies(implies(X,Y),implies(Z,Y))) | -theorem(implies(Z,X)).
% 3383 [binary:235,2341.2] theorem(implies(implies(not(X),Y),or(X,Y))).
% 3406 [binary:1767,3383] theorem(implies(implies(not(X),X),and(X,X))).
% 3440 [binary:753,3406] -theorem(or(equivalent(not(X),X),Y)) | theorem(Y).
% 6998 [binary:27,2361.2] theorem(implies(implies(or(X,Y),Z),implies(Y,Z))).
% 7027 [binary:21,6998] -theorem(implies(or(X,Y),Z)) | theorem(implies(Y,Z)).
% 7252 [binary:1079,7027] theorem(implies(and(X,Y),and(Y,X))).
% 7270 [para:23.1.2,7252.1.1.1,demod:23] theorem(implies(equivalent(X,Y),equivalent(Y,X))).
% 7305 [binary:70.2,7270] theorem(or(equivalent(X,Y),not(equivalent(Y,X)))).
% 7341 [binary:3440,7305,slowcut:24] 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: 57
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 3171
% derived clauses: 235892
% kept clauses: 6608
% kept size sum: 77963
% kept mid-nuclei: 0
% kept new demods: 6
% forw unit-subs: 36071
% forw double-subs: 1135
% forw overdouble-subs: 3
% backward subs: 59
% fast unit cutoff: 0
% full unit cutoff: 14
% dbl unit cutoff: 0
% real runtime : 5.40
% process. runtime: 5.38
% specific non-discr-tree subsumption statistics:
% tried: 3
% length fails: 0
% strength fails: 0
% predlist fails: 0
% aux str. fails: 0
% by-lit fails: 0
% full subs tried: 3
% 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/LCL326-3+eq_r.in")
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