%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : COL032-1 : 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 : art05.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 89.6s
% Output : Assurance 89.6s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----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/COL032-1+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(4,40,1,8,0,1,881,50,1840,885,0,1840,11401,3,3915,15260,4,4930,16367,5,5941,16367,1,5941,16367,50,5942,16367,40,5942,16371,0,5942,16382,50,5942,16386,0,5952,25127,3,7463,26264,4,8221,28540,5,8953,28540,1,8953,28540,50,8954,28540,40,8954,28544,0,8954)
%
%
% START OF PROOF
% 28542 [] equal(apply(m,X),apply(X,X)).
% 28543 [] equal(apply(apply(apply(q,X),Y),Z),apply(Y,apply(X,Z))).
% 28544 [] -equal(apply(X,f(X)),apply(f(X),apply(X,f(X)))).
% 28547 [para:28543.1.1,28544.1.1,demod:28543] -equal(apply(X,apply(Y,f(apply(apply(q,Y),X)))),apply(f(apply(apply(q,Y),X)),apply(X,apply(Y,f(apply(apply(q,Y),X)))))).
% 28550 [para:28542.1.1,28547.1.1,slowcut:28543] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% 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: 30
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 1464
% derived clauses: 3729913
% kept clauses: 28514
% kept size sum: 953816
% kept mid-nuclei: 0
% kept new demods: 1172
% forw unit-subs: 1335499
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 628
% fast unit cutoff: 0
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 90.1
% process. runtime: 89.54
% 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/COL032-1+eq_r.in")
%
%------------------------------------------------------------------------------