TSTP Solution File: COL042-9 by Gandalf---c-2.6
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- Process Solution
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% File : Gandalf---c-2.6
% Problem : COL042-9 : TPTP v3.4.2. Released v2.1.0.
% Transfm : add_equality:r
% Format : otter:hypothesis:set(auto),clear(print_given)
% Command : gandalf-wrapper -time %d %s
% Computer : art06.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 59.5s
% Output : Assurance 59.5s
% 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/COL/COL042-9+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: ueq
%
% strategies selected:
% (binary-posweight-kb-big-order 60 #f 5 1)
% (binary-posweight-lex-big-order 30 #f 5 1)
% (binary 30 #t)
% (binary-posweight-kb-big-order 180 #f)
% (binary-posweight-lex-big-order 120 #f)
% (binary-posweight-firstpref-order 60 #f)
% (binary-posweight-kb-small-order 60 #f)
% (binary-posweight-lex-small-order 60 #f)
%
%
% **** EMPTY CLAUSE DERIVED ****
%
%
% timer checkpoints: c(5,40,0,10,0,0,6906,3,3012,7851,4,4504,8652,5,6001,8652,1,6001,8652,50,6001,8652,40,6001,8657,0,6001)
%
%
% START OF PROOF
% 8654 [] equal(apply(apply(apply(b,X),Y),Z),apply(X,apply(Y,Z))).
% 8655 [] equal(apply(apply(w1,X),Y),apply(apply(Y,X),X)).
% 8656 [] equal(strong_fixed_point,apply(apply(b,apply(w1,w1)),apply(apply(b,apply(b,w1)),apply(apply(b,b),b)))).
% 8657 [] -equal(apply(strong_fixed_point,fixed_pt),apply(fixed_pt,apply(strong_fixed_point,fixed_pt))).
% 8658 [para:8655.1.2,8655.1.1] equal(apply(apply(w1,X),w1),apply(apply(X,X),X)).
% 8662 [para:8658.1.2,8655.1.2] equal(apply(apply(w1,X),X),apply(apply(w1,X),w1)).
% 8668 [para:8654.1.1,8655.1.2.1] equal(apply(apply(w1,X),apply(apply(b,Y),Z)),apply(apply(Y,apply(Z,X)),X)).
% 8722 [para:8656.1.2,8654.1.1.1,demod:8654] equal(apply(strong_fixed_point,X),apply(apply(w1,w1),apply(apply(b,w1),apply(b,apply(b,X))))).
% 8798 [para:8668.1.2,8655.1.1] equal(apply(apply(w1,X),apply(apply(b,w1),Y)),apply(apply(X,apply(Y,X)),apply(Y,X))).
% 8805 [para:8668.1.2,8654.1.1] equal(apply(apply(w1,X),apply(apply(b,apply(b,Y)),Z)),apply(Y,apply(apply(Z,X),X))).
% 8808 [para:8668.1.2,8662.1.2] equal(apply(apply(w1,apply(X,w1)),apply(X,w1)),apply(apply(w1,w1),apply(apply(b,w1),X))).
% 9201 [para:8805.1.1,8798.1.2,demod:8808,8722,slowcut:8657] 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 lex ordering for equality
% preferring bigger arities for lex ordering
% using clause demodulation
% clause length limited to 1
% clause depth limited to 5
% seconds given: 30
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 752
% derived clauses: 1530637
% kept clauses: 9184
% kept size sum: 256120
% kept mid-nuclei: 0
% kept new demods: 1218
% forw unit-subs: 333197
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 273
% fast unit cutoff: 0
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 60.74
% process. runtime: 60.15
% specific non-discr-tree subsumption statistics:
% tried: 0
% length fails: 0
% 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/COL/COL042-9+eq_r.in")
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