%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : COL035-1 : 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 : art02.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 80.0s
% Output : Assurance 80.0s
% 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/COL035-1+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(5,40,0,10,0,0,780,50,1191,785,0,1191,5969,3,3607,7448,4,4800,8338,5,5992,8338,1,5992,8338,50,5992,8338,40,5992,8343,0,5992,8791,50,6523,8796,0,6523,12789,3,7739,14121,4,8332)
%
%
% START OF PROOF
% 8793 [] equal(apply(apply(l,X),Y),apply(X,apply(Y,Y))).
% 8794 [] equal(apply(apply(w,X),Y),apply(apply(X,Y),Y)).
% 8795 [] equal(apply(apply(apply(q,X),Y),Z),apply(Y,apply(X,Z))).
% 8796 [] -equal(apply(X,f(X)),apply(f(X),apply(X,f(X)))).
% 8805 [para:8793.1.2,8794.1.1.1] equal(apply(apply(apply(l,w),X),Y),apply(apply(apply(X,X),Y),Y)).
% 9047 [para:8795.1.1,8805.1.2.1,demod:8795] equal(apply(apply(apply(l,w),apply(q,X)),Y),apply(apply(X,Y),apply(X,Y))).
% 10409 [para:9047.1.2,8793.1.2.2] equal(apply(apply(l,X),apply(Y,Z)),apply(X,apply(apply(apply(l,w),apply(q,Y)),Z))).
% 14530 [para:10409.1.1,9047.1.2,slowcut:8796] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% using first neg lit preferred strategy
% not using sos strategy
% using unit paramodulation strategy
% using unit 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: 2129
% derived clauses: 2569774
% kept clauses: 14503
% kept size sum: 379565
% kept mid-nuclei: 0
% kept new demods: 3733
% forw unit-subs: 623815
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 330
% fast unit cutoff: 0
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 87.55
% process. runtime: 87.49
% 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/COL035-1+eq_r.in")
%
%------------------------------------------------------------------------------