TSTP Solution File: FLD043-5 by Gandalf---c-2.6
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% File : Gandalf---c-2.6
% Problem : FLD043-5 : TPTP v3.4.2. Bugfixed v2.1.0.
% Transfm : add_equality:r
% Format : otter:hypothesis:set(auto),clear(print_given)
% Command : gandalf-wrapper -time %d %s
% Computer : art09.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
%
% Gandalf c-2.6 r1 starting to prove: /home/graph/tptp/TSTP/PreparedTPTP/otter:hypothesis:set(auto),clear(print_given)---add_equality:r/FLD/FLD043-5+noeq.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: nne
% detected subclass: medium
%
% strategies selected:
% (hyper 27 #f 2 9)
% (binary-unit 10 #f 2 9)
% (binary-double 16 #f 2 9)
% (binary 54 #t 2 9)
% (binary-order 27 #f 2 9)
% (binary-posweight-order 125 #f)
% (binary-order-sos 54 #t)
% (binary-unit-uniteq 27 #f)
% (binary-weightorder 54 #f)
% (binary-order 54 #f)
% (hyper-order 43 #f)
% (binary 109 #t)
%
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(28,40,0,56,0,0)
%
%
% START OF PROOF
% 29 [] -sum(Y,U,V) | -sum(Z,U,W) | -sum(X,Y,Z) | sum(X,V,W).
% 30 [] -sum(Y,U,V) | -sum(X,V,W) | -sum(X,Y,Z) | sum(Z,U,W).
% 31 [] sum(additive_identity,X,X) | -defined(X).
% 32 [] sum(additive_inverse(X),X,additive_identity) | -defined(X).
% 33 [] -sum(X,Y,Z) | sum(Y,X,Z).
% 34 [] -product(Y,U,V) | -product(Z,U,W) | -product(X,Y,Z) | product(X,V,W).
% 35 [] -product(Y,U,V) | -product(X,V,W) | -product(X,Y,Z) | product(Z,U,W).
% 36 [] product(multiplicative_identity,X,X) | -defined(X).
% 38 [] -product(X,Y,Z) | product(Y,X,Z).
% 39 [] -product(U,Y,V) | -product(W,Y,X1) | -product(X,Y,Z) | -sum(U,W,X) | sum(V,X1,Z).
% 40 [] -product(X,Y,Z) | -product(U,Y,V) | -sum(V,Z,X1) | -sum(U,X,W) | product(W,Y,X1).
% 42 [] defined(additive_identity).
% 43 [] defined(additive_inverse(X)) | -defined(X).
% 44 [] defined(multiply(X,Y)) | -defined(X) | -defined(Y).
% 45 [] defined(multiplicative_identity).
% 47 [] sum(X,Y,add(X,Y)) | -defined(X) | -defined(Y).
% 48 [] product(X,Y,multiply(X,Y)) | -defined(X) | -defined(Y).
% 55 [] defined(a).
% 56 [] -product(additive_identity,a,additive_identity).
% 58 [hyper:32,55] sum(additive_inverse(a),a,additive_identity).
% 59 [hyper:36,55] product(multiplicative_identity,a,a).
% 78 [hyper:31,42] sum(additive_identity,additive_identity,additive_identity).
% 79 [hyper:32,42] sum(additive_inverse(additive_identity),additive_identity,additive_identity).
% 80 [hyper:36,42] product(multiplicative_identity,additive_identity,additive_identity).
% 86 [hyper:43,42] defined(additive_inverse(additive_identity)).
% 88 [hyper:44,42,55] defined(multiply(additive_identity,a)).
% 98 [hyper:48,42,55] product(additive_identity,a,multiply(additive_identity,a)).
% 106 [hyper:31,45] sum(additive_identity,multiplicative_identity,multiplicative_identity).
% 129 [hyper:47,45,45] sum(multiplicative_identity,multiplicative_identity,add(multiplicative_identity,multiplicative_identity)).
% 135 [hyper:48,45,42] product(multiplicative_identity,additive_identity,multiply(multiplicative_identity,additive_identity)).
% 153 [hyper:31,86] sum(additive_identity,additive_inverse(additive_identity),additive_inverse(additive_identity)).
% 262 [hyper:31,88] sum(additive_identity,multiply(additive_identity,a),multiply(additive_identity,a)).
% 319 [hyper:38,59] product(a,multiplicative_identity,a).
% 620 [hyper:38,80] product(additive_identity,multiplicative_identity,additive_identity).
% 651 [hyper:33,106] sum(multiplicative_identity,additive_identity,multiplicative_identity).
% 950 [hyper:33,79] sum(additive_identity,additive_inverse(additive_identity),additive_identity).
% 1393 [hyper:29,153,950,78] sum(additive_identity,additive_identity,additive_inverse(additive_identity)).
% 1564 [hyper:40,1393,620,620,78] product(additive_identity,multiplicative_identity,additive_inverse(additive_identity)).
% 1574 [hyper:40,1393,620,620,78] product(additive_inverse(additive_identity),multiplicative_identity,additive_identity).
% 1655 [hyper:34,1564,80,620] product(multiplicative_identity,additive_inverse(additive_identity),additive_identity).
% 1661 [hyper:34,1564,80,620] product(multiplicative_identity,additive_identity,additive_inverse(additive_identity)).
% 6668 [hyper:39,98,59,59,cut:651] sum(a,multiply(additive_identity,a),a).
% 8829 [hyper:40,129,1661,950,cut:80] product(add(multiplicative_identity,multiplicative_identity),additive_identity,additive_identity).
% 14757 [hyper:35,135,1574,1655] product(additive_identity,multiplicative_identity,multiply(multiplicative_identity,additive_identity)).
% 29261 [hyper:30,6668,58,58] sum(additive_identity,multiply(additive_identity,a),additive_identity).
% 33677 [hyper:39,8829,129,80,135] sum(additive_identity,multiply(multiplicative_identity,additive_identity),additive_identity).
% 137913 [hyper:29,262,29261,78] sum(additive_identity,additive_identity,multiply(additive_identity,a)).
% 139362 [hyper:40,137913,14757,33677,cut:620] product(multiply(additive_identity,a),multiplicative_identity,additive_identity).
% 144283 [hyper:34,139362,98,319,cut:56] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using hyperresolution
% not using sos strategy
% using positive unit paramodulation strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% clause length limited to 9
% clause depth limited to 2
% seconds given: 27
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 518
% derived clauses: 305726
% kept clauses: 9570
% kept size sum: 106419
% kept mid-nuclei: 134490
% kept new demods: 0
% forw unit-subs: 105190
% forw double-subs: 44863
% forw overdouble-subs: 2768
% backward subs: 8
% fast unit cutoff: 2942
% full unit cutoff: 0
% dbl unit cutoff: 67
% real runtime : 7.73
% process. runtime: 7.72
% specific non-discr-tree subsumption statistics:
% tried: 45540
% length fails: 347
% strength fails: 1042
% predlist fails: 33935
% aux str. fails: 4285
% by-lit fails: 653
% full subs tried: 1020
% full subs fail: 1020
%
% ; 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/FLD/FLD043-5+noeq.in")
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