TSTP Solution File: RNG025-4 by Gandalf---c-2.6
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%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : RNG025-4 : 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 268.6s
% Output : Assurance 268.6s
% 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/RNG025-4+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 5 1)
% (binary-posweight-lex-big-order 30 #f 5 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(17,40,0,34,0,0,35551,3,3002,42152,4,4502,46287,5,6001,46287,1,6001,46287,50,6004,46287,40,6004,46304,0,6004,49278,3,7510,50290,4,8261,50450,5,9005,50450,1,9005,50450,50,9005,50450,40,9005,50467,0,9005,50468,50,9005,50468,40,9005,50485,0,9018,460811,3,19893,495489,4,23981,714129,5,27019,714130,1,27019,714130,50,27024,714130,40,27024,714147,0,27024)
%
%
% START OF PROOF
% 714131 [] equal(X,X).
% 714132 [] equal(add(additive_identity,X),X).
% 714133 [] equal(add(X,additive_identity),X).
% 714134 [] equal(multiply(additive_identity,X),additive_identity).
% 714135 [] equal(multiply(X,additive_identity),additive_identity).
% 714136 [] equal(add(additive_inverse(X),X),additive_identity).
% 714137 [] equal(add(X,additive_inverse(X)),additive_identity).
% 714138 [] equal(additive_inverse(additive_inverse(X)),X).
% 714139 [] equal(multiply(X,add(Y,Z)),add(multiply(X,Y),multiply(X,Z))).
% 714140 [] equal(multiply(add(X,Y),Z),add(multiply(X,Z),multiply(Y,Z))).
% 714141 [] equal(add(X,Y),add(Y,X)).
% 714142 [] equal(add(X,add(Y,Z)),add(add(X,Y),Z)).
% 714143 [] equal(multiply(multiply(X,Y),Y),multiply(X,multiply(Y,Y))).
% 714147 [] -equal(add(multiply(multiply(x,y),z),add(additive_inverse(multiply(x,multiply(y,z))),add(multiply(multiply(x,z),y),additive_inverse(multiply(x,multiply(z,y)))))),additive_identity).
% 714152 [para:714136.1.1,714139.1.1.2,demod:714135] equal(additive_identity,add(multiply(X,additive_inverse(Y)),multiply(X,Y))).
% 714153 [para:714137.1.1,714139.1.1.2,demod:714135] equal(additive_identity,add(multiply(X,Y),multiply(X,additive_inverse(Y)))).
% 714154 [para:714152.1.2,714139.1.1.2,demod:714135] equal(additive_identity,add(multiply(X,multiply(Y,additive_inverse(Z))),multiply(X,multiply(Y,Z)))).
% 714155 [para:714139.1.1,714152.1.2.2] equal(additive_identity,add(multiply(X,additive_inverse(add(Y,Z))),add(multiply(X,Y),multiply(X,Z)))).
% 714158 [para:714136.1.1,714142.1.2.1,demod:714132] equal(add(additive_inverse(X),add(X,Y)),Y).
% 714161 [para:714142.1.2,714141.1.1] equal(add(X,add(Y,Z)),add(Z,add(X,Y))).
% 714167 [para:714141.1.1,714158.1.1.2] equal(add(additive_inverse(X),add(Y,X)),Y).
% 714168 [para:714152.1.2,714158.1.1.2,demod:714133] equal(additive_inverse(multiply(X,additive_inverse(Y))),multiply(X,Y)).
% 714169 [para:714153.1.2,714158.1.1.2,demod:714133] equal(additive_inverse(multiply(X,Y)),multiply(X,additive_inverse(Y))).
% 714172 [para:714136.1.1,714140.1.1.1,demod:714134] equal(additive_identity,add(multiply(additive_inverse(X),Y),multiply(X,Y))).
% 714173 [para:714137.1.1,714140.1.1.1,demod:714134] equal(additive_identity,add(multiply(X,Y),multiply(additive_inverse(X),Y))).
% 714188 [para:714167.1.1,714142.1.2.1,demod:714142] equal(add(additive_inverse(X),add(Y,add(X,Z))),add(Y,Z)).
% 714190 [para:714158.1.1,714167.1.1.2] equal(add(additive_inverse(add(X,Y)),Y),additive_inverse(X)).
% 714200 [para:714169.1.1,714147.1.1.2.1,demod:714169] -equal(add(multiply(multiply(x,y),z),add(multiply(x,multiply(y,additive_inverse(z))),add(multiply(multiply(x,z),y),multiply(x,multiply(z,additive_inverse(y)))))),additive_identity).
% 714211 [para:714143.1.1,714168.1.1.1,demod:714168,714169] equal(multiply(X,multiply(additive_inverse(Y),Y)),multiply(multiply(X,additive_inverse(Y)),Y)).
% 714220 [para:714190.1.1,714167.1.1.2] equal(add(additive_inverse(X),additive_inverse(Y)),additive_inverse(add(Y,X))).
% 714232 [para:714172.1.2,714158.1.1.2,demod:714133,714169] equal(multiply(additive_inverse(X),additive_inverse(Y)),multiply(X,Y)).
% 714234 [para:714172.1.2,714167.1.1.2,demod:714133,714169] equal(multiply(X,additive_inverse(Y)),multiply(additive_inverse(X),Y)).
% 714261 [para:714141.1.1,714161.1.2.2] equal(add(X,add(Y,Z)),add(Z,add(Y,X))).
% 714264 [para:714161.1.1,714142.1.2.1,demod:714142] equal(add(X,add(Y,add(Z,U))),add(Z,add(X,add(Y,U)))).
% 714271 [para:714161.1.1,714161.1.1.2,demod:714142] equal(add(X,add(Y,add(Z,U))),add(U,add(Y,add(X,Z)))).
% 714316 [para:714154.1.2,714261.1.1.2,demod:714133] equal(X,add(multiply(Y,multiply(Z,U)),add(multiply(Y,multiply(Z,additive_inverse(U))),X))).
% 714340 [para:714143.1.1,714155.1.2.1,demod:714211,714142,714232,714139,714140,714220] equal(additive_identity,add(multiply(X,multiply(Y,Y)),add(multiply(X,multiply(Y,Z)),add(multiply(X,multiply(Z,Y)),add(multiply(X,multiply(Z,Z)),add(multiply(multiply(X,additive_inverse(Y)),Z),add(multiply(X,multiply(additive_inverse(Z),Z)),add(multiply(X,multiply(additive_inverse(Y),Y)),multiply(multiply(X,additive_inverse(Z)),Y))))))))).
% 714350 [para:714173.1.2,714188.1.1.2.2,demod:714133,714169] equal(add(multiply(X,additive_inverse(Y)),Z),add(Z,multiply(additive_inverse(X),Y))).
% 714410 [para:714211.1.2,714234.1.1,demod:714211,714169,714138] equal(multiply(X,multiply(Y,additive_inverse(Y))),multiply(X,multiply(additive_inverse(Y),Y))).
% 714459 [para:714234.1.1,714200.1.1.2.1.2] -equal(add(multiply(multiply(x,y),z),add(multiply(x,multiply(additive_inverse(y),z)),add(multiply(multiply(x,z),y),multiply(x,multiply(z,additive_inverse(y)))))),additive_identity).
% 716921 [para:714316.1.2,714264.1.1.2.2] equal(add(X,add(Y,Z)),add(multiply(U,multiply(V,W)),add(X,add(Y,add(multiply(U,multiply(V,additive_inverse(W))),Z))))).
% 723658 [para:714350.1.1,714340.1.2.2.2.2.2,demod:716921,714316,714142,714168,714410,714138,714232] equal(additive_identity,add(multiply(X,multiply(Y,additive_inverse(Z))),add(multiply(X,multiply(additive_inverse(Z),Y)),add(multiply(multiply(X,Z),Y),multiply(multiply(X,Y),Z))))).
% 724222 [para:714271.1.1,714459.1.1,demod:723658,cut:714131] 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 lex ordering for equality
% preferring bigger arities for lex ordering
% using clause demodulation
% seconds given: 120
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 4246
% derived clauses: 6038854
% kept clauses: 137599
% kept size sum: 383894
% kept mid-nuclei: 0
% kept new demods: 68729
% forw unit-subs: 3232046
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 268
% fast unit cutoff: 1
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 278.46
% process. runtime: 276.75
% 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/RNG025-4+eq_r.in")
%
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