TSTP Solution File: COL036-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : COL036-1 : 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 : art10.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 100.1s
% Output : Assurance 100.1s
% 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/COL036-1+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 4 1)
% (binary-posweight-lex-big-order 30 #f 4 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(5,40,0,10,0,0,129,50,32,134,0,32,6841,3,2987,7936,4,4495,9828,5,5933,9829,1,5933,9829,50,5933,9829,40,5933,9834,0,5933,10479,3,7436,10483,50,7871,10483,40,7871,10488,0,7871,37739,3,9372,43070,4,10122,52539,1,10872,52539,50,10874,52539,40,10874,52544,0,10874)
%
%
% START OF PROOF
% 52541 [] equal(apply(apply(apply(s,X),Y),Z),apply(apply(X,Z),apply(Y,Z))).
% 52542 [] equal(apply(apply(apply(b,X),Y),Z),apply(X,apply(Y,Z))).
% 52543 [] equal(apply(apply(t,X),Y),apply(Y,X)).
% 52544 [] -equal(apply(X,f(X)),apply(f(X),apply(X,f(X)))).
% 52546 [para:52542.1.1,52544.1.1,demod:52542] -equal(apply(X,apply(Y,f(apply(apply(b,X),Y)))),apply(f(apply(apply(b,X),Y)),apply(X,apply(Y,f(apply(apply(b,X),Y)))))).
% 52547 [para:52541.1.2,52543.1.1] equal(apply(apply(apply(s,t),X),Y),apply(apply(X,Y),Y)).
% 52566 [para:52547.1.2,52542.1.1] equal(apply(apply(apply(s,t),apply(b,X)),Y),apply(X,apply(Y,Y))).
% 52662 [para:52541.1.1,52546.1.2.2] -equal(apply(apply(apply(s,X),Y),apply(Z,f(apply(apply(b,apply(apply(s,X),Y)),Z)))),apply(f(apply(apply(b,apply(apply(s,X),Y)),Z)),apply(apply(X,apply(Z,f(apply(apply(b,apply(apply(s,X),Y)),Z)))),apply(Y,apply(Z,f(apply(apply(b,apply(apply(s,X),Y)),Z))))))).
% 52939 [para:52566.1.1,52541.1.2,slowcut:52662] 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
% seconds given: 180
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 6297
% derived clauses: 1990655
% kept clauses: 32613
% kept size sum: 10697
% kept mid-nuclei: 0
% kept new demods: 2418
% forw unit-subs: 416746
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 294
% fast unit cutoff: 0
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 108.81
% process. runtime: 108.77
% 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/COL036-1+eq_r.in")
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