TSTP Solution File: BOO017-1 by Gandalf---c-2.6
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% File : Gandalf---c-2.6
% Problem : BOO017-1 : 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 19.5s
% Output : Assurance 19.5s
% 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/BOO/BOO017-1+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: long
%
% strategies selected:
% (hyper 58 #f 2 9)
% (binary-posweight-order 29 #f 2 9)
% (binary-unit 29 #f 2 9)
% (binary-double 29 #f 2 9)
% (binary 29 #t 2 9)
% (hyper 29 #t)
% (hyper 105 #f)
% (binary-unit-uniteq 17 #f)
% (binary-weightorder 23 #f)
% (binary-posweight-order 70 #f)
% (binary-posweight-lex-big-order 29 #f)
% (binary-posweight-lex-small-order 11 #f)
% (binary-order 29 #f)
% (binary-unit 46 #f)
% (binary 67 #t)
%
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(25,40,0,50,0,0)
%
%
% START OF PROOF
% 27 [] sum(X,Y,add(X,Y)).
% 28 [] product(X,Y,multiply(X,Y)).
% 29 [] -sum(X,Y,Z) | sum(Y,X,Z).
% 30 [] -product(X,Y,Z) | product(Y,X,Z).
% 32 [] sum(X,additive_identity,X).
% 33 [] product(multiplicative_identity,X,X).
% 34 [] product(X,multiplicative_identity,X).
% 35 [] -product(X,U,V) | -product(X,W,X1) | -product(X,Y,Z) | -sum(W,Y,U) | sum(X1,Z,V).
% 36 [] -product(X,Y,Z) | -product(X,U,V) | -sum(Z,V,X1) | -sum(Y,U,W) | product(X,W,X1).
% 37 [] -product(U,Y,V) | -product(W,Y,X1) | -product(X,Y,Z) | -sum(W,X,U) | sum(X1,Z,V).
% 38 [] -product(X,Y,Z) | -product(U,Y,V) | -sum(Z,V,X1) | -sum(X,U,W) | product(W,Y,X1).
% 39 [] -product(X,Y,Z) | -sum(U,Z,X1) | -sum(U,X,W) | -sum(U,Y,V) | product(W,V,X1).
% 44 [] sum(X,inverse(X),multiplicative_identity).
% 46 [] product(X,inverse(X),additive_identity).
% 47 [] -sum(X,Y,U) | -sum(X,Y,Z) | equal(Z,U).
% 48 [] -product(X,Y,U) | -product(X,Y,Z) | equal(Z,U).
% 49 [] sum(x,y,z).
% 50 [] -product(x,z,x).
% 807 [hyper:29,27] sum(X,Y,add(Y,X)).
% 902 [hyper:38,27,34,34,32] product(add(X,additive_identity),multiplicative_identity,X).
% 966 [hyper:39,27,33,44,44] product(add(X,multiplicative_identity),multiplicative_identity,multiplicative_identity).
% 970 [hyper:39,27,33,32,32] product(add(X,multiplicative_identity),X,X).
% 1130 [hyper:47,27,32] equal(X,add(X,additive_identity)).
% 1547 [hyper:39,46,44,27,32] product(add(X,X),multiplicative_identity,X).
% 1632 [hyper:30,28] product(X,Y,multiply(Y,X)).
% 2219 [hyper:48,28,33] equal(X,multiply(multiplicative_identity,X)).
% 6832 [hyper:37,970,807,1632,33] sum(X,multiply(X,X),X).
% 6833 [hyper:37,970,807,1632,34,demod:2219] sum(multiplicative_identity,multiplicative_identity,multiplicative_identity).
% 7047 [hyper:35,6833,1632,1632,34,demod:2219,demod:2219] sum(X,X,X).
% 10226 [hyper:47,7047,27] equal(add(X,X),X).
% 10908 [hyper:39,6832,1632,7047,27,demod:10226] product(X,X,X).
% 445013 [hyper:37,966,33,slowcut:807,slowcut:1547] sum(multiplicative_identity,X,multiplicative_identity).
% 459121 [hyper:35,445013,902,902,28,demod:1130,demod:1130] sum(X,multiply(X,Y),X).
% 491267 [hyper:36,459121,49,28,10908,cut:50] 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: 58
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 102
% derived clauses: 3894808
% kept clauses: 464
% kept size sum: 3436
% kept mid-nuclei: 490185
% kept new demods: 14
% forw unit-subs: 3139560
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 6
% fast unit cutoff: 105
% full unit cutoff: 555
% dbl unit cutoff: 0
% real runtime : 22.99
% process. runtime: 22.50
% specific non-discr-tree subsumption statistics:
% tried: 85994
% length fails: 0
% strength fails: 54517
% predlist fails: 30762
% aux str. fails: 550
% by-lit fails: 0
% full subs tried: 165
% full subs fail: 165
%
% ; 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/BOO/BOO017-1+eq_r.in")
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