TSTP Solution File: CAT005-4 by Gandalf---c-2.6
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- Process Solution
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% File : Gandalf---c-2.6
% Problem : CAT005-4 : 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 : art01.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
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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/CAT/CAT005-4+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: short
%
% strategies selected:
% (binary-posweight-order 57 #f 3 5)
% (binary-unit 28 #f 3 5)
% (binary-double 28 #f 3 5)
% (binary 45 #t 3 5)
% (hyper 11 #t 3 5)
% (hyper 28 #f)
% (binary-unit-uniteq 16 #f)
% (binary-weightorder 22 #f)
% (binary-posweight-order 159 #f)
% (binary-posweight-lex-big-order 57 #f)
% (binary-posweight-lex-small-order 11 #f)
% (binary-order 28 #f)
% (binary-unit 45 #f)
% (binary 65 #t)
%
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(16,40,1,32,0,1)
%
%
% START OF PROOF
% 17 [] equal(X,X).
% 22 [] -there_exists(codomain(X)) | there_exists(X).
% 23 [] -there_exists(compose(X,Y)) | there_exists(domain(X)).
% 24 [] equal(domain(X),codomain(Y)) | -there_exists(compose(X,Y)).
% 27 [] equal(compose(X,domain(X)),X).
% 29 [] there_exists(compose(a,d)).
% 31 [] equal(compose(d,X),X) | -there_exists(compose(d,X)).
% 32 [] -equal(domain(a),d).
% 45 [para:27.1.1,31.2.1,demod:27] equal(d,domain(d)) | -there_exists(d).
% 49 [binary:29,23] there_exists(domain(a)).
% 59 [binary:29,24.2] equal(domain(a),codomain(d)).
% 65 [para:59.1.2,22.1.1,cut:49] there_exists(d).
% 68 [binary:45.2,65] equal(d,domain(d)).
% 72 [para:68.1.2,27.1.1.2] equal(compose(d,d),d).
% 74 [para:72.1.1,24.2.1,demod:59,68,cut:65] equal(d,domain(a)).
% 75 [para:74.1.2,32.1.1,cut:17] 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 kb ordering for equality
% preferring bigger arities for lex ordering
% using clause demodulation
% clause length limited to 5
% clause depth limited to 3
% seconds given: 57
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 34
% derived clauses: 99
% kept clauses: 28
% kept size sum: 152
% kept mid-nuclei: 0
% kept new demods: 9
% forw unit-subs: 44
% forw double-subs: 2
% forw overdouble-subs: 0
% backward subs: 1
% fast unit cutoff: 5
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 0.1
% process. runtime: 0.0
% specific non-discr-tree subsumption statistics:
% tried: 1
% length fails: 1
% 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/CAT/CAT005-4+eq_r.in")
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