TSTP Solution File: RNG009-5 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : RNG009-5 : 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 : art07.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 99.6s
% Output : Assurance 99.6s
% 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/RNG/RNG009-5+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: ueq
%
% strategies selected:
% (binary-posweight-kb-big-order 60 #f 3 1)
% (binary-posweight-lex-big-order 30 #f 3 1)
% (binary 30 #t)
% (binary-posweight-kb-big-order 180 #f)
% (binary-posweight-lex-big-order 120 #f)
% (binary-posweight-firstpref-order 60 #f)
% (binary-posweight-kb-small-order 60 #f)
% (binary-posweight-lex-small-order 60 #f)
%
%
% **** EMPTY CLAUSE DERIVED ****
%
%
% timer checkpoints: c(10,40,0,20,0,0,40,50,1,50,0,1,970,3,2956,1058,4,4431,1116,5,5902,1116,1,5902,1116,50,5902,1116,40,5902,1126,0,5902,1145,50,5902,1155,0,5903,1225,50,5918,1235,0,5918,1451,50,6438,1461,0,6438,2391,3,7647,2391,4,8248,2391,5,8839,2391,1,8839,2391,50,8839,2391,40,8839,2401,0,8839,34769,3,10361)
%
%
% START OF PROOF
% 2393 [] equal(add(X,additive_identity),X).
% 2394 [] equal(add(X,additive_inverse(X)),additive_identity).
% 2395 [] equal(multiply(X,add(Y,Z)),add(multiply(X,Y),multiply(X,Z))).
% 2396 [] equal(multiply(add(X,Y),Z),add(multiply(X,Z),multiply(Y,Z))).
% 2397 [] equal(add(add(X,Y),Z),add(X,add(Y,Z))).
% 2398 [] equal(add(X,Y),add(Y,X)).
% 2399 [] equal(multiply(multiply(X,Y),Z),multiply(X,multiply(Y,Z))).
% 2400 [] equal(multiply(X,multiply(X,X)),X).
% 2401 [] -equal(multiply(a,b),multiply(b,a)).
% 2402 [para:2400.1.1,2395.1.2.1] equal(multiply(X,add(multiply(X,X),Y)),add(X,multiply(X,Y))).
% 2403 [para:2400.1.1,2395.1.2.2] equal(multiply(X,add(Y,multiply(X,X))),add(multiply(X,Y),X)).
% 2404 [para:2400.1.1,2396.1.2.1] equal(multiply(add(X,Y),multiply(X,X)),add(X,multiply(Y,multiply(X,X)))).
% 2406 [para:2400.1.1,2399.1.1,demod:2399] equal(multiply(X,Y),multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(X,Y)))))).
% 2407 [para:2400.1.1,2399.1.1.1,demod:2399] equal(multiply(X,Y),multiply(X,multiply(X,multiply(X,Y)))).
% 2408 [para:2407.1.2,2395.1.2.1,demod:2395] equal(multiply(X,add(multiply(X,multiply(X,Y)),Z)),multiply(X,add(Y,Z))).
% 2409 [para:2407.1.2,2395.1.2.2,demod:2395] equal(multiply(X,add(Y,multiply(X,multiply(X,Z)))),multiply(X,add(Y,Z))).
% 2413 [para:2393.1.1,2402.1.1.2,demod:2400] equal(X,add(X,multiply(X,additive_identity))).
% 2419 [para:2396.1.2,2402.1.1.2] equal(multiply(X,multiply(add(X,Y),X)),add(X,multiply(X,multiply(Y,X)))).
% 2423 [para:2413.1.2,2397.1.1.1] equal(add(X,Y),add(X,add(multiply(X,additive_identity),Y))).
% 2424 [para:2413.1.2,2398.1.1] equal(X,add(multiply(X,additive_identity),X)).
% 2432 [para:2403.1.1,2399.1.1.1] equal(multiply(add(multiply(X,Y),X),Z),multiply(X,multiply(add(Y,multiply(X,X)),Z))).
% 2433 [para:2413.1.2,2403.1.1.2,demod:2424] equal(multiply(additive_identity,additive_identity),additive_identity).
% 2436 [para:2433.1.1,2399.1.1.1] equal(multiply(additive_identity,X),multiply(additive_identity,multiply(additive_identity,X))).
% 2437 [para:2424.1.2,2397.1.1.1] equal(add(X,Y),add(multiply(X,additive_identity),add(X,Y))).
% 2442 [para:2394.1.1,2423.1.2.2,demod:2393] equal(add(X,additive_inverse(multiply(X,additive_identity))),X).
% 2452 [para:2442.1.1,2398.1.1] equal(X,add(additive_inverse(multiply(X,additive_identity)),X)).
% 2455 [para:2393.1.1,2404.1.1.1,demod:2400] equal(X,add(X,multiply(additive_identity,multiply(X,X)))).
% 2457 [para:2404.1.1,2395.1.2.1,demod:2397] equal(multiply(add(X,Y),add(multiply(X,X),Z)),add(X,add(multiply(Y,multiply(X,X)),multiply(add(X,Y),Z)))).
% 2461 [para:2396.1.2,2404.1.1.1,demod:2399] equal(multiply(add(X,Y),multiply(Z,multiply(X,multiply(Z,multiply(X,Z))))),add(multiply(X,Z),multiply(Y,multiply(Z,multiply(X,multiply(Z,multiply(X,Z))))))).
% 2470 [para:2452.1.2,2393.1.1,demod:2433] equal(additive_identity,additive_inverse(additive_identity)).
% 2500 [para:2394.1.1,2437.1.2.2,demod:2393,2394] equal(additive_identity,multiply(X,additive_identity)).
% 2504 [para:2398.1.1,2437.1.2.2,demod:2500] equal(add(X,Y),add(additive_identity,add(Y,X))).
% 2505 [para:2413.1.2,2437.1.2.2,demod:2393,2500] equal(X,add(additive_identity,X)).
% 2506 [para:2500.1.2,2399.1.1.1] equal(multiply(additive_identity,X),multiply(Y,multiply(additive_identity,X))).
% 2507 [para:2394.1.1,2504.1.2.2,demod:2505] equal(add(additive_inverse(X),X),additive_identity).
% 2513 [para:2507.1.1,2397.1.1.1,demod:2505] equal(X,add(additive_inverse(Y),add(Y,X))).
% 2514 [para:2507.1.1,2403.1.1.2,demod:2500] equal(additive_identity,add(multiply(X,additive_inverse(multiply(X,X))),X)).
% 2522 [para:2395.1.2,2513.1.2.2] equal(multiply(X,Y),add(additive_inverse(multiply(X,Z)),multiply(X,add(Z,Y)))).
% 2523 [para:2396.1.2,2513.1.2.2] equal(multiply(X,Y),add(additive_inverse(multiply(Z,Y)),multiply(add(Z,X),Y))).
% 2525 [para:2513.1.2,2398.1.1,demod:2397] equal(X,add(Y,add(X,additive_inverse(Y)))).
% 2526 [para:2398.1.1,2513.1.2.2] equal(X,add(additive_inverse(Y),add(X,Y))).
% 2528 [para:2455.1.2,2513.1.2.2,demod:2507] equal(multiply(additive_identity,multiply(X,X)),additive_identity).
% 2530 [para:2507.1.1,2513.1.2.2,demod:2393] equal(X,additive_inverse(additive_inverse(X))).
% 2531 [para:2530.1.2,2513.1.2.1] equal(X,add(Y,add(additive_inverse(Y),X))).
% 2543 [para:2396.1.2,2526.1.2.2] equal(multiply(X,Y),add(additive_inverse(multiply(Z,Y)),multiply(add(X,Z),Y))).
% 2549 [para:2513.1.2,2526.1.2.2] equal(additive_inverse(X),add(additive_inverse(add(X,Y)),Y)).
% 2551 [para:2526.1.2,2526.1.2.2] equal(additive_inverse(X),add(additive_inverse(add(Y,X)),Y)).
% 2552 [para:2394.1.1,2408.1.1.2,demod:2500] equal(additive_identity,multiply(X,add(Y,additive_inverse(multiply(X,multiply(X,Y)))))).
% 2580 [para:2549.1.2,2526.1.2.2] equal(additive_inverse(add(X,Y)),add(additive_inverse(Y),additive_inverse(X))).
% 2593 [para:2551.1.2,2525.1.2.2] equal(additive_inverse(add(additive_inverse(X),Y)),add(X,additive_inverse(Y))).
% 2635 [para:2506.1.2,2528.1.1.2,demod:2436] equal(multiply(additive_identity,X),additive_identity).
% 2681 [para:2514.1.2,2526.1.2.2,demod:2393] equal(multiply(X,additive_inverse(multiply(X,X))),additive_inverse(X)).
% 2700 [para:2681.1.1,2399.1.1.1] equal(multiply(additive_inverse(X),Y),multiply(X,multiply(additive_inverse(multiply(X,X)),Y))).
% 2701 [para:2681.1.1,2407.1.2.2.2,demod:2681] equal(additive_inverse(X),multiply(X,multiply(X,additive_inverse(X)))).
% 2708 [para:2701.1.2,2399.1.1.1,demod:2399] equal(multiply(additive_inverse(X),Y),multiply(X,multiply(X,multiply(additive_inverse(X),Y)))).
% 2709 [para:2530.1.2,2701.1.2.2.2,demod:2530] equal(X,multiply(additive_inverse(X),multiply(additive_inverse(X),X))).
% 2717 [para:2709.1.2,2399.1.1.1,demod:2399] equal(multiply(X,Y),multiply(additive_inverse(X),multiply(additive_inverse(X),multiply(X,Y)))).
% 3137 [para:2394.1.1,2419.1.1.2.1,demod:2500,2635] equal(additive_identity,add(X,multiply(X,multiply(additive_inverse(X),X)))).
% 3175 [para:3137.1.2,2513.1.2.2,demod:2393] equal(multiply(X,multiply(additive_inverse(X),X)),additive_inverse(X)).
% 3177 [para:3137.1.2,2531.1.2.2,demod:2393,2530] equal(multiply(additive_inverse(X),multiply(X,additive_inverse(X))),X).
% 3190 [para:3175.1.1,2399.1.1.1,demod:2399] equal(multiply(additive_inverse(X),Y),multiply(X,multiply(additive_inverse(X),multiply(X,Y)))).
% 3205 [para:3177.1.1,2406.1.2.2.2.2,demod:3190] equal(multiply(X,additive_inverse(X)),multiply(additive_inverse(X),X)).
% 3418 [para:2552.1.2,2399.1.1.1,demod:2635] equal(additive_identity,multiply(X,multiply(add(Y,additive_inverse(multiply(X,multiply(X,Y)))),Z))).
% 4129 [para:2406.1.2,2717.1.2.2,demod:3177,2701,3205] equal(multiply(X,multiply(additive_inverse(X),additive_inverse(X))),X).
% 4247 [para:4129.1.1,2708.1.2.2] equal(multiply(additive_inverse(X),additive_inverse(X)),multiply(X,X)).
% 4260 [para:4247.1.1,2681.1.1.2.1,demod:2530] equal(multiply(additive_inverse(X),additive_inverse(multiply(X,X))),X).
% 6431 [para:2394.1.1,2522.1.2.2.2,demod:2393,2500] equal(multiply(X,additive_inverse(Y)),additive_inverse(multiply(X,Y))).
% 6490 [para:6431.1.1,2399.1.1.1] equal(multiply(additive_inverse(multiply(X,Y)),Z),multiply(X,multiply(additive_inverse(Y),Z))).
% 6574 [para:2394.1.1,2523.1.2.2.1,demod:2393,2635] equal(multiply(additive_inverse(X),Y),additive_inverse(multiply(X,Y))).
% 7204 [para:2700.1.2,2461.1.2.2.2,demod:2400,4260,6431,2681,6574,6490] equal(multiply(add(additive_inverse(multiply(X,X)),Y),X),add(additive_inverse(X),multiply(Y,X))).
% 8028 [para:3418.1.2,2406.1.2.2,demod:2500] equal(multiply(add(X,additive_inverse(multiply(Y,multiply(Y,X)))),Y),additive_identity).
% 8094 [para:2580.1.2,8028.1.1.1,demod:2593,6431] equal(multiply(add(multiply(X,multiply(X,Y)),additive_inverse(Y)),X),additive_identity).
% 8251 [para:8094.1.1,2543.1.2.2,demod:2393,2530,6574,2399] equal(multiply(X,multiply(X,multiply(Y,X))),multiply(Y,X)).
% 8350 [para:2399.1.1,8251.1.1.2.2,demod:2399] equal(multiply(X,multiply(X,multiply(Y,multiply(Z,X)))),multiply(Y,multiply(Z,X))).
% 8399 [para:8251.1.1,3418.1.2.2] equal(additive_identity,multiply(X,multiply(Y,add(Z,additive_inverse(multiply(X,multiply(X,Z))))))).
% 27876 [para:7204.1.1,2432.1.2.2,demod:2500,2507,2409,2399,6431] equal(multiply(add(additive_inverse(multiply(X,multiply(Y,Y))),X),Y),additive_identity).
% 28015 [para:27876.1.1,2399.1.1.1,demod:2635] equal(additive_identity,multiply(add(additive_inverse(multiply(X,multiply(Y,Y))),X),multiply(Y,Z))).
% 28056 [para:27876.1.1,8028.1.1.1.2.1.2,demod:2393,2470,2500] equal(multiply(X,add(additive_inverse(multiply(Y,multiply(X,X))),Y)),additive_identity).
% 28059 [para:27876.1.1,8399.1.2.2.2.2.1.2,demod:2393,2470,2500] equal(additive_identity,multiply(add(additive_inverse(multiply(X,multiply(Y,Y))),X),multiply(Z,Y))).
% 28638 [para:28056.1.1,2522.1.2.2,demod:2393,2530,6431] equal(multiply(X,Y),multiply(X,multiply(Y,multiply(X,X)))).
% 28716 [para:2399.1.1,28638.1.2.2] equal(multiply(X,multiply(Y,Z)),multiply(X,multiply(Y,multiply(Z,multiply(X,X))))).
% 33047 [para:28015.1.2,8399.1.2.2.2.2.1.2,demod:2393,2470,2500] equal(additive_identity,multiply(add(additive_inverse(multiply(X,multiply(Y,Y))),X),multiply(Z,multiply(Y,U)))).
% 33851 [para:28059.1.2,2395.1.2.2,demod:2393] equal(multiply(add(additive_inverse(multiply(X,multiply(Y,Y))),X),add(Z,multiply(U,Y))),multiply(add(additive_inverse(multiply(X,multiply(Y,Y))),X),Z)).
% 33897 [para:28059.1.2,2457.1.2.2.2,demod:2393,8350,33047,33851,2530,28638,6431,6574,6490] equal(additive_identity,add(additive_inverse(multiply(X,multiply(Y,Y))),multiply(Y,multiply(Y,X)))).
% 38214 [para:33897.1.2,2513.1.2.2,demod:2393,2530] equal(multiply(X,multiply(X,Y)),multiply(Y,multiply(X,X))).
% 38503 [para:38214.1.1,8251.1.1.2.2,demod:28638,28716,2399] equal(multiply(X,multiply(Y,X)),multiply(X,multiply(X,Y))).
% 38807 [para:38503.1.2,2407.1.2,demod:8251,2399,slowcut:2401] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% 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
%
%
% old unit clauses discarded
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 2127
% derived clauses: 4920321
% kept clauses: 36377
% kept size sum: 0
% kept mid-nuclei: 0
% kept new demods: 27707
% forw unit-subs: 1211050
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 29
% fast unit cutoff: 0
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 106.61
% process. runtime: 106.8
% 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/RNG/RNG009-5+eq_r.in")
%
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