TSTP Solution File: COL076-2 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : COL076-2 : 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 : 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 318.2s
% Output : Assurance 318.2s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----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/COL076-2+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 4 3)
% (binary-unit 12 #f)
% (binary-unit-uniteq 12 #f)
% (binary-posweight-kb-big-order 60 #f 4 3)
% (binary-posweight-lex-big-order 30 #f 4 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(10,40,0,20,0,0,5855,4,2253,5861,50,2268,5861,40,2268,5871,0,2268,15362,3,2871,16426,4,3172,18697,5,3469,18698,5,3469,18698,1,3469,18698,50,3470,18698,40,3470,18708,0,3470,35810,3,4071,39962,4,4396,40473,5,4671,40474,5,4673,40474,1,4673,40474,50,4675,40474,40,4675,40484,0,4675,53529,3,7677,55291,4,9179,55456,5,10677,55456,5,10677,55456,1,10677,55456,50,10679,55456,40,10679,55466,0,10679,62738,3,12197,63435,4,12930,63450,5,13681,63450,5,13681,63450,1,13681,63450,50,13682,63450,40,13682,63460,0,13682,90747,3,15183,95897,4,15934,99047,5,16683,99047,1,16683,99047,50,16685,99047,40,16685,99057,0,16685,152828,3,24496,169242,4,28472,188308,5,32286,188309,5,32292,188311,1,32292,188311,50,32297,188311,40,32297,188321,0,32297)
%
%
% START OF PROOF
% 188313 [] equal(apply(apply(k,X),Y),X).
% 188315 [] equal(apply(projection2,pair(X,Y)),Y).
% 188317 [] equal(apply(pair(X,Y),Z),pair(apply(X,Z),apply(Y,Z))).
% 188318 [] equal(apply(apply(apply(abstraction,X),Y),Z),apply(apply(X,apply(k,Z)),apply(Y,Z))).
% 188319 [] -equal(apply(X,n(X,Y)),apply(Y,n(X,Y))) | equal(X,Y).
% 188320 [] equal(apply(apply(f,X),Y),apply(X,X)).
% 188321 [] -equal(X,apply(eq,pair(apply(k,X),apply(k,projection2)))).
% 188323 [para:188313.1.1,188317.1.2.2] equal(apply(pair(X,apply(k,Y)),Z),pair(apply(X,Z),Y)).
% 188331 [para:188320.1.1,188317.1.2.2,demod:188323] equal(apply(pair(X,apply(f,Y)),Z),apply(pair(X,apply(k,apply(Y,Y))),Z)).
% 188341 [para:188313.1.1,188318.1.2.1] equal(apply(apply(apply(abstraction,apply(k,X)),Y),Z),apply(X,apply(Y,Z))).
% 189237 [binary:188319,188331] equal(pair(X,apply(f,Y)),pair(X,apply(k,apply(Y,Y)))).
% 189329 [para:189237.1.1,188315.1.1.2,demod:188315] equal(apply(k,apply(X,X)),apply(f,X)).
% 189408 [para:189329.1.1,188321.1.2.2.1,demod:188323,slowcut:188341] 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
% seconds given: 102
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 13590
% derived clauses: 4588328
% kept clauses: 151963
% kept size sum: 22338
% kept mid-nuclei: 22031
% kept new demods: 40978
% forw unit-subs: 1407563
% forw double-subs: 65579
% forw overdouble-subs: 0
% backward subs: 775
% fast unit cutoff: 17
% full unit cutoff: 45
% dbl unit cutoff: 0
% real runtime : 325.15
% process. runtime: 323.2
% 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/COL076-2+eq_r.in")
%
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