TSTP Solution File: COL077-1 by Gandalf---c-2.6
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- Process Solution
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% File : Gandalf---c-2.6
% Problem : COL077-1 : TPTP v3.4.2. Released v1.2.0.
% 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 109.5s
% Output : Assurance 109.5s
% 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/COL077-1+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: peq
%
% strategies selected:
% (hyper 30 #f 6 3)
% (binary-unit 12 #f)
% (binary-unit-uniteq 12 #f)
% (binary-posweight-kb-big-order 60 #f 6 3)
% (binary-posweight-lex-big-order 30 #f 6 3)
% (binary 30 #t)
% (binary-posweight-kb-big-order 156 #f)
% (binary-posweight-lex-big-order 102 #f)
% (binary-posweight-firstpref-order 60 #f)
% (binary-order 30 #f)
% (binary-posweight-kb-small-order 48 #f)
% (binary-posweight-lex-small-order 30 #f)
%
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(13,40,0,26,0,1,63543,4,2258,63554,50,2318,63554,40,2318,63567,0,2318,83219,3,2919,85587,4,3232,89405,5,3519,89405,5,3519,89405,1,3519,89405,50,3520,89405,40,3520,89418,0,3520,121326,3,4124,129528,4,4421,136013,1,4721,136013,50,4724,136013,40,4724,136026,0,4724,264416,3,7751,293157,4,9226,295168,5,10732,295168,5,10734,295170,1,10734,295170,50,10740,295170,40,10740,295183,0,10740)
%
%
% START OF PROOF
% 295171 [] equal(X,X).
% 295172 [] equal(apply(k(X),Y),X).
% 295177 [] equal(apply(apply(apply(abstraction,X),Y),Z),apply(apply(X,k(Z)),apply(Y,Z))).
% 295180 [] -equal(apply(X,n(X,Y)),apply(Y,n(X,Y))) | equal(X,Y).
% 295182 [] equal(apply(identity,X),X).
% 295183 [] -equal(apply(apply(apply(apply(apply(abstraction,abstraction),abstraction),abstraction),abstraction),abstraction),identity).
% 295247 [para:295172.1.1,295177.1.2.1] equal(apply(apply(apply(abstraction,k(X)),Y),Z),apply(X,apply(Y,Z))).
% 295250 [para:295177.1.1,295183.1.1.1.1,demod:295247] -equal(apply(apply(abstraction,apply(apply(abstraction,abstraction),abstraction)),abstraction),identity).
% 295267 [para:295177.1.2,295177.1.1.1,demod:295172] equal(apply(apply(apply(apply(abstraction,abstraction),X),Y),Z),apply(Y,apply(apply(X,Y),Z))).
% 295282 [para:295182.1.1,295180.1.1] -equal(n(identity,X),apply(X,n(identity,X))) | equal(identity,X).
% 304964 [para:295267.1.1,295177.1.2,demod:295172] equal(apply(apply(apply(abstraction,apply(apply(abstraction,abstraction),X)),Y),Z),Z).
% 318054 [para:304964.1.1,295282.1.2,cut:295171] equal(identity,apply(apply(abstraction,apply(apply(abstraction,abstraction),X)),Y)).
% 318091 [para:318054.1.2,295250.1.1,cut:295171] 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 3
% clause depth limited to 6
% seconds given: 30
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 4861
% derived clauses: 1687074
% kept clauses: 223176
% kept size sum: 531518
% kept mid-nuclei: 6206
% kept new demods: 74810
% forw unit-subs: 1064919
% forw double-subs: 85637
% forw overdouble-subs: 8459
% backward subs: 1069
% fast unit cutoff: 6014
% full unit cutoff: 65
% dbl unit cutoff: 1
% real runtime : 114.95
% process. runtime: 114.38
% specific non-discr-tree subsumption statistics:
% tried: 33483
% length fails: 1881
% strength fails: 427
% predlist fails: 522
% aux str. fails: 6758
% by-lit fails: 66
% full subs tried: 22206
% full subs fail: 15207
%
% ; 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/COL077-1+eq_r.in")
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