TSTP Solution File: CAT003-1 by Gandalf---c-2.6
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% File : Gandalf---c-2.6
% Problem : CAT003-1 : 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 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/CAT003-1+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 7)
% (binary-posweight-order 29 #f 2 7)
% (binary-unit 29 #f 2 7)
% (binary-double 29 #f 2 7)
% (binary 29 #t 2 7)
% (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 *********
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%
% timer checkpoints: c(24,40,0,48,0,0)
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%
% START OF PROOF
% 26 [] product(X,Y,compose(X,Y)) | -defined(X,Y).
% 27 [] -product(X,Y,Z) | defined(X,Y).
% 28 [] -product(X,Y,Z) | -defined(Z,U) | defined(Y,U).
% 30 [] -product(U,Y,V) | -product(W,U,X) | -product(X,Y,Z) | product(W,V,Z).
% 32 [] -product(X,Y,Z) | -product(U,X,V) | -defined(U,Z) | defined(V,Y).
% 34 [] -defined(X,Y) | -defined(Y,Z) | defined(X,Z) | -identity_map(Y).
% 35 [] identity_map(domain(X)).
% 39 [] product(X,domain(X),X).
% 43 [] -product(X,Y,U) | -product(X,Y,Z) | equal(Z,U).
% 44 [] product(a,b,c).
% 45 [] -product(Z,c,Y) | -product(X,c,Y) | equal(X,Z).
% 46 [] product(h,a,d).
% 47 [] product(g,a,d).
% 48 [] -equal(h,g).
% 62 [hyper:27,44] defined(a,b).
% 82 [hyper:26,62] product(a,b,compose(a,b)).
% 117 [hyper:27,46] defined(h,a).
% 216 [hyper:28,39,62] defined(domain(a),b).
% 227 [hyper:32,39,46,cut:117] defined(d,domain(a)).
% 286 [hyper:43,82,44] equal(c,compose(a,b)).
% 319 [hyper:34,227,216,cut:35] defined(d,b).
% 322 [hyper:26,319] product(d,b,compose(d,b)).
% 2237 [hyper:30,322,82,46,demod:286] product(h,c,compose(d,b)).
% 2238 [hyper:30,322,82,47,demod:286] product(g,c,compose(d,b)).
% 3562 [hyper:45,2238,2237,cut:48] 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 7
% clause depth limited to 2
% seconds given: 58
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 152
% derived clauses: 9049
% kept clauses: 215
% kept size sum: 1308
% kept mid-nuclei: 3285
% kept new demods: 7
% forw unit-subs: 2996
% forw double-subs: 197
% forw overdouble-subs: 0
% backward subs: 0
% fast unit cutoff: 300
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 0.14
% process. runtime: 0.12
% specific non-discr-tree subsumption statistics:
% tried: 2098
% length fails: 4
% strength fails: 164
% predlist fails: 1490
% aux str. fails: 324
% by-lit fails: 0
% full subs tried: 116
% full subs fail: 116
%
% ; 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/CAT003-1+eq_r.in")
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