TSTP Solution File: GRP019-1 by Gandalf---c-2.6
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% File : Gandalf---c-2.6
% Problem : GRP019-1 : 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 : art10.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 39.5s
% Output : Assurance 39.5s
% 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
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% Gandalf c-2.6 r1 starting to prove: /home/graph/tptp/TSTP/PreparedTPTP/otter:hypothesis:set(auto),clear(print_given)---add_equality:r/GRP/GRP019-1+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: heq
% detected subclass: small
% detected subclass: long
%
% strategies selected:
% (hyper 57 #f 2 7)
% (binary-posweight-order 28 #f 2 7)
% (binary-unit 28 #f 2 7)
% (hyper 188 #f)
% (binary-unit-uniteq 16 #f)
% (binary-weightorder 22 #f)
% (binary-posweight-order 114 #f)
% (binary-posweight-lex-big-order 28 #f)
% (binary-posweight-lex-small-order 11 #f)
% (binary-order 28 #f)
% (binary 22 #t)
% (binary-unit 58 #f)
%
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(10,40,1,20,0,1,349,50,3,359,0,3,7414,50,44,7424,0,44,163500,4,4303)
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%
% START OF PROOF
% 7415 [] equal(X,X).
% 7416 [] product(identity,X,X).
% 7419 [] product(X,inverse(X),identity).
% 7420 [] product(X,Y,multiply(X,Y)).
% 7421 [] -product(X,Y,U) | -product(X,Y,Z) | equal(Z,U).
% 7424 [] -equal(multiply(identity,a),a).
% 7529 [hyper:7421,7420,7416] equal(X,multiply(identity,X)).
% 7532 [hyper:7421,7420,7419] equal(identity,multiply(X,inverse(X))).
% 163501 [para:7532.1.1,7424.1.1.1,demod:7529,7532,cut:7415] contradiction
% END OF PROOF
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% Proof found by the following strategy:
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% using binary resolution
% not using sos strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% clause length limited to 7
% clause depth limited to 4
% seconds given: 57
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 280
% derived clauses: 3915067
% kept clauses: 292
% kept size sum: 3594
% kept mid-nuclei: 163159
% kept new demods: 32
% forw unit-subs: 2974352
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 8
% fast unit cutoff: 1
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 43.56
% process. runtime: 43.2
% specific non-discr-tree subsumption statistics:
% tried: 1059
% length fails: 0
% strength fails: 129
% predlist fails: 86
% aux str. fails: 222
% by-lit fails: 0
% full subs tried: 622
% full subs fail: 622
%
% ; 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/GRP/GRP019-1+eq_r.in")
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